Vampire---5.0.1.THM-Ref.s

%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : NUM762+4 : TPTP v9.3.1. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 12:16:54 PM UTC 2026

% Result   : Theorem 35.47s 6.12s
% Output   : Refutation 36.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   78
% Syntax   : Number of formulae    :  442 (  67 unt;  47 def)
%            Number of atoms       : 1091 (   7 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives : 1123 ( 474   ~; 505   |;  53   &)
%                                         (  80 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :   15 (   3 avg)
%            Number of predicates  :   52 (  50 usr;  48 prp; 0-2 aty)
%            Number of functors    :   45 (  45 usr;  23 con; 0-2 aty)
%            Number of variables   :  298 (   0 sgn 296   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f33,axiom,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305369_moreq,X0),X1))
    <=> pp(aa_bool_bool(scratc720935180d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc851924119d_n_eq,X0),X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__moreq) ).

fof(f34,axiom,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,X0),X1))
    <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc519546310nd_iii,aa_TPTP_ind_TPTP_ind(scratc852908106d_n_ts(aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc852908106d_n_ts(aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,X0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__lessf) ).

fof(f35,axiom,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1))
    <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc420092872_29_ii,aa_TPTP_ind_TPTP_ind(scratc852908106d_n_ts(aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc852908106d_n_ts(aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,X0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__moref) ).

fof(f67,axiom,
    ! [X0] : scratc852908106d_n_ts(X0) = aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__n__ts) ).

fof(f80,axiom,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc519546310nd_iii,X0),X1))
    <=> pp(aa_fun171081125l_bool(scratc1904795583n_some,aa_TPT43085870d_bool(scratc682059371ffprop(X1),X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__iii) ).

fof(f81,axiom,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc420092872_29_ii,X0),X1))
    <=> pp(aa_fun171081125l_bool(scratc1904795583n_some,aa_TPT43085870d_bool(scratc682059371ffprop(X0),X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__d__29__ii) ).

fof(f162,axiom,
    ! [X0] : scratc720935180d_l_or(X0) = aa_boo1142376798l_bool(scratc519808713nd_imp,scratc2052427826_d_not(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__l__or) ).

fof(f167,axiom,
    ! [X0] :
      ( pp(scratc2052427826_d_not(X0))
    <=> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc519808713nd_imp,X0),fFalse)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__d__not) ).

fof(f168,axiom,
    scratc519808713nd_imp = fimplies,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__imp) ).

fof(f199,axiom,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc2050310133all_of(X0),X1))
    <=> ! [X2] :
          ( gg_TPTP_ind(X2)
         => ( scratc810023396_is_of(X2,X0)
           => pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__all__of) ).

fof(f202,axiom,
    pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aTP_Lamm_cg)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz64a) ).

fof(f212,axiom,
    pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aTP_Lamm_do)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz62h) ).

fof(f251,axiom,
    pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aTP_Lamm_hr)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz42) ).

fof(f595,axiom,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aTP_Lamm_hr,X0))
    <=> pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hq,X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__142) ).

fof(f630,axiom,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aTP_Lamm_do,X0))
    <=> pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dn,X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__177) ).

fof(f640,axiom,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aTP_Lamm_cg,X0))
    <=> pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__187) ).

fof(f642,axiom,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0))
    <=> pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__189) ).

fof(f689,axiom,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hq,X0),X1))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1))
       => pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,X1),X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__236) ).

fof(f818,axiom,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dn,X0),X1))
    <=> pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dm(X0),X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__365) ).

fof(f828,axiom,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,X0),X1))
    <=> pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ce(X0),X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__375) ).

fof(f830,axiom,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1))
    <=> pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__377) ).

fof(f955,axiom,
    ! [X0,X1,X2] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dm(X0),X1),X2))
    <=> pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dl(X0),X1),X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__502) ).

fof(f959,axiom,
    ! [X0,X1,X2] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ce(X0),X1),X2))
    <=> pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cd(X0),X1),X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__506) ).

fof(f961,axiom,
    ! [X0,X1,X2] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2))
    <=> pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__508) ).

fof(f991,axiom,
    ! [X0,X1,X2,X3] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1))
       => ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305369_moreq,X2),X3))
         => pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X1),X3))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__538) ).

fof(f992,axiom,
    ! [X0,X1,X2,X3] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ch(X0),X1),X2),X3))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1))
       => ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X2),X3))
         => pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X1),X3))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__539) ).

fof(f994,axiom,
    ! [X0,X1,X2,X3] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cd(X0),X1),X2),X3))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,X0),X1))
       => ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,X2),X3))
         => pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X1),X3))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__541) ).

fof(f1005,axiom,
    ! [X0,X1,X2,X3] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dl(X0),X1),X2),X3))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc851924119d_n_eq,X0),X1))
       => ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X2),X3))
         => pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X3),X1))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__552) ).

fof(f1036,axiom,
    ! [X0,X1] :
      ( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
      | ~ pp(X0)
      | pp(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fimplies_3_1_U) ).

fof(f1038,axiom,
    ! [X0,X1] :
      ( pp(X0)
      | pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fimplies_1_1_U) ).

fof(f1045,conjecture,
    pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aTP_Lamm_ad)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

fof(f1046,negated_conjecture,
    ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aTP_Lamm_ad)),
    inference(negated_conjecture,[status(cth)],[f1045]) ).

fof(f1047,plain,
    ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aTP_Lamm_ad)),
    inference(flattening,[],[f1046]) ).

fof(f1064,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc2050310133all_of(X0),X1))
    <=> ! [X2] :
          ( pp(aa_TPTP_ind_bool(X1,X2))
          | ~ scratc810023396_is_of(X2,X0)
          | ~ gg_TPTP_ind(X2) ) ),
    inference(ennf_transformation,[],[f199]) ).

fof(f1065,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc2050310133all_of(X0),X1))
    <=> ! [X2] :
          ( pp(aa_TPTP_ind_bool(X1,X2))
          | ~ scratc810023396_is_of(X2,X0)
          | ~ gg_TPTP_ind(X2) ) ),
    inference(flattening,[],[f1064]) ).

fof(f1143,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hq,X0),X1))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,X1),X0))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1)) ) ),
    inference(ennf_transformation,[],[f689]) ).

fof(f1274,plain,
    ! [X0,X1,X2,X3] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X1),X3)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305369_moreq,X2),X3))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1)) ) ),
    inference(ennf_transformation,[],[f991]) ).

fof(f1275,plain,
    ! [X0,X1,X2,X3] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X1),X3)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305369_moreq,X2),X3))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1)) ) ),
    inference(flattening,[],[f1274]) ).

fof(f1276,plain,
    ! [X0,X1,X2,X3] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ch(X0),X1),X2),X3))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X1),X3)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X2),X3))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1)) ) ),
    inference(ennf_transformation,[],[f992]) ).

fof(f1277,plain,
    ! [X0,X1,X2,X3] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ch(X0),X1),X2),X3))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X1),X3)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X2),X3))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1)) ) ),
    inference(flattening,[],[f1276]) ).

fof(f1280,plain,
    ! [X0,X1,X2,X3] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cd(X0),X1),X2),X3))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X1),X3)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,X2),X3))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,X0),X1)) ) ),
    inference(ennf_transformation,[],[f994]) ).

fof(f1281,plain,
    ! [X0,X1,X2,X3] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cd(X0),X1),X2),X3))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X1),X3)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,X2),X3))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,X0),X1)) ) ),
    inference(flattening,[],[f1280]) ).

fof(f1302,plain,
    ! [X0,X1,X2,X3] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dl(X0),X1),X2),X3))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X3),X1)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X2),X3))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc851924119d_n_eq,X0),X1)) ) ),
    inference(ennf_transformation,[],[f1005]) ).

fof(f1303,plain,
    ! [X0,X1,X2,X3] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dl(X0),X1),X2),X3))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X3),X1)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X2),X3))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc851924119d_n_eq,X0),X1)) ) ),
    inference(flattening,[],[f1302]) ).

fof(f1332,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305369_moreq,X0),X1))
        | ~ pp(aa_bool_bool(scratc720935180d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc851924119d_n_eq,X0),X1))) )
      & ( pp(aa_bool_bool(scratc720935180d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc851924119d_n_eq,X0),X1)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305369_moreq,X0),X1)) ) ),
    inference(nnf_transformation,[],[f33]) ).

fof(f1333,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc519546310nd_iii,aa_TPTP_ind_TPTP_ind(scratc852908106d_n_ts(aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc852908106d_n_ts(aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,X0)))) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc519546310nd_iii,aa_TPTP_ind_TPTP_ind(scratc852908106d_n_ts(aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc852908106d_n_ts(aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,X0))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,X0),X1)) ) ),
    inference(nnf_transformation,[],[f34]) ).

fof(f1334,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc420092872_29_ii,aa_TPTP_ind_TPTP_ind(scratc852908106d_n_ts(aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc852908106d_n_ts(aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,X0)))) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc420092872_29_ii,aa_TPTP_ind_TPTP_ind(scratc852908106d_n_ts(aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc852908106d_n_ts(aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,X0))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1)) ) ),
    inference(nnf_transformation,[],[f35]) ).

fof(f1348,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc519546310nd_iii,X0),X1))
        | ~ pp(aa_fun171081125l_bool(scratc1904795583n_some,aa_TPT43085870d_bool(scratc682059371ffprop(X1),X0))) )
      & ( pp(aa_fun171081125l_bool(scratc1904795583n_some,aa_TPT43085870d_bool(scratc682059371ffprop(X1),X0)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc519546310nd_iii,X0),X1)) ) ),
    inference(nnf_transformation,[],[f80]) ).

fof(f1349,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc420092872_29_ii,X0),X1))
        | ~ pp(aa_fun171081125l_bool(scratc1904795583n_some,aa_TPT43085870d_bool(scratc682059371ffprop(X0),X1))) )
      & ( pp(aa_fun171081125l_bool(scratc1904795583n_some,aa_TPT43085870d_bool(scratc682059371ffprop(X0),X1)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc420092872_29_ii,X0),X1)) ) ),
    inference(nnf_transformation,[],[f81]) ).

fof(f1389,plain,
    ! [X0] :
      ( ( pp(scratc2052427826_d_not(X0))
        | ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc519808713nd_imp,X0),fFalse)) )
      & ( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc519808713nd_imp,X0),fFalse))
        | ~ pp(scratc2052427826_d_not(X0)) ) ),
    inference(nnf_transformation,[],[f167]) ).

fof(f1412,plain,
    ! [X0,X1] :
      ( ( pp(aa_fun171081125l_bool(scratc2050310133all_of(X0),X1))
        | ? [X2] :
            ( ~ pp(aa_TPTP_ind_bool(X1,X2))
            & scratc810023396_is_of(X2,X0)
            & gg_TPTP_ind(X2) ) )
      & ( ! [X2] :
            ( pp(aa_TPTP_ind_bool(X1,X2))
            | ~ scratc810023396_is_of(X2,X0)
            | ~ gg_TPTP_ind(X2) )
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(X0),X1)) ) ),
    inference(nnf_transformation,[],[f1065]) ).

fof(f1413,plain,
    ! [X0,X1] :
      ( ( pp(aa_fun171081125l_bool(scratc2050310133all_of(X0),X1))
        | ? [X2] :
            ( ~ pp(aa_TPTP_ind_bool(X1,X2))
            & scratc810023396_is_of(X2,X0)
            & gg_TPTP_ind(X2) ) )
      & ( ! [X3] :
            ( pp(aa_TPTP_ind_bool(X1,X3))
            | ~ scratc810023396_is_of(X3,X0)
            | ~ gg_TPTP_ind(X3) )
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(X0),X1)) ) ),
    inference(rectify,[],[f1412]) ).

fof(f1414,plain,
    ! [X0,X1] :
      ( ( pp(aa_fun171081125l_bool(scratc2050310133all_of(X0),X1))
        | ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
          & scratc810023396_is_of(sK12(X0,X1),X0)
          & gg_TPTP_ind(sK12(X0,X1)) ) )
      & ( ! [X3] :
            ( pp(aa_TPTP_ind_bool(X1,X3))
            | ~ scratc810023396_is_of(X3,X0)
            | ~ gg_TPTP_ind(X3) )
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(X0),X1)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f1413]) ).

fof(f1575,plain,
    ! [X0] :
      ( ( pp(aa_TPTP_ind_bool(aTP_Lamm_hr,X0))
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hq,X0))) )
      & ( pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hq,X0)))
        | ~ pp(aa_TPTP_ind_bool(aTP_Lamm_hr,X0)) ) ),
    inference(nnf_transformation,[],[f595]) ).

fof(f1610,plain,
    ! [X0] :
      ( ( pp(aa_TPTP_ind_bool(aTP_Lamm_do,X0))
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dn,X0))) )
      & ( pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dn,X0)))
        | ~ pp(aa_TPTP_ind_bool(aTP_Lamm_do,X0)) ) ),
    inference(nnf_transformation,[],[f630]) ).

fof(f1620,plain,
    ! [X0] :
      ( ( pp(aa_TPTP_ind_bool(aTP_Lamm_cg,X0))
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,X0))) )
      & ( pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,X0)))
        | ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cg,X0)) ) ),
    inference(nnf_transformation,[],[f640]) ).

fof(f1622,plain,
    ! [X0] :
      ( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0))
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0))) )
      & ( pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0)))
        | ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0)) ) ),
    inference(nnf_transformation,[],[f642]) ).

fof(f1687,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hq,X0),X1))
        | ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,X1),X0))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1)) ) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,X1),X0))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hq,X0),X1)) ) ),
    inference(nnf_transformation,[],[f1143]) ).

fof(f1688,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hq,X0),X1))
        | ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,X1),X0))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1)) ) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,X1),X0))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hq,X0),X1)) ) ),
    inference(flattening,[],[f1687]) ).

fof(f1834,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dn,X0),X1))
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dm(X0),X1))) )
      & ( pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dm(X0),X1)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dn,X0),X1)) ) ),
    inference(nnf_transformation,[],[f818]) ).

fof(f1844,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,X0),X1))
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ce(X0),X1))) )
      & ( pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ce(X0),X1)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,X0),X1)) ) ),
    inference(nnf_transformation,[],[f828]) ).

fof(f1846,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1))
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1))) )
      & ( pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1)) ) ),
    inference(nnf_transformation,[],[f830]) ).

fof(f2029,plain,
    ! [X0,X1,X2] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dm(X0),X1),X2))
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dl(X0),X1),X2))) )
      & ( pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dl(X0),X1),X2)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dm(X0),X1),X2)) ) ),
    inference(nnf_transformation,[],[f955]) ).

fof(f2033,plain,
    ! [X0,X1,X2] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ce(X0),X1),X2))
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cd(X0),X1),X2))) )
      & ( pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cd(X0),X1),X2)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ce(X0),X1),X2)) ) ),
    inference(nnf_transformation,[],[f959]) ).

fof(f2035,plain,
    ! [X0,X1,X2] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2))
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2))) )
      & ( pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2)) ) ),
    inference(nnf_transformation,[],[f961]) ).

fof(f2082,plain,
    ! [X0,X1,X2,X3] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
        | ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X1),X3)))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305369_moreq,X2),X3))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1)) ) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X1),X3)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305369_moreq,X2),X3))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3)) ) ),
    inference(nnf_transformation,[],[f1275]) ).

fof(f2083,plain,
    ! [X0,X1,X2,X3] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
        | ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X1),X3)))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305369_moreq,X2),X3))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1)) ) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X1),X3)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305369_moreq,X2),X3))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3)) ) ),
    inference(flattening,[],[f2082]) ).

fof(f2084,plain,
    ! [X0,X1,X2,X3] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ch(X0),X1),X2),X3))
        | ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X1),X3)))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X2),X3))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1)) ) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X1),X3)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X2),X3))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ch(X0),X1),X2),X3)) ) ),
    inference(nnf_transformation,[],[f1277]) ).

fof(f2085,plain,
    ! [X0,X1,X2,X3] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ch(X0),X1),X2),X3))
        | ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X1),X3)))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X2),X3))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1)) ) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X1),X3)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X2),X3))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ch(X0),X1),X2),X3)) ) ),
    inference(flattening,[],[f2084]) ).

fof(f2088,plain,
    ! [X0,X1,X2,X3] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cd(X0),X1),X2),X3))
        | ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X1),X3)))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,X2),X3))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,X0),X1)) ) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X1),X3)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,X2),X3))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cd(X0),X1),X2),X3)) ) ),
    inference(nnf_transformation,[],[f1281]) ).

fof(f2089,plain,
    ! [X0,X1,X2,X3] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cd(X0),X1),X2),X3))
        | ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X1),X3)))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,X2),X3))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,X0),X1)) ) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X1),X3)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,X2),X3))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cd(X0),X1),X2),X3)) ) ),
    inference(flattening,[],[f2088]) ).

fof(f2110,plain,
    ! [X0,X1,X2,X3] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dl(X0),X1),X2),X3))
        | ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X3),X1)))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X2),X3))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc851924119d_n_eq,X0),X1)) ) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X3),X1)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X2),X3))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc851924119d_n_eq,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dl(X0),X1),X2),X3)) ) ),
    inference(nnf_transformation,[],[f1303]) ).

fof(f2111,plain,
    ! [X0,X1,X2,X3] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dl(X0),X1),X2),X3))
        | ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X3),X1)))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X2),X3))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc851924119d_n_eq,X0),X1)) ) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X3),X1)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X2),X3))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc851924119d_n_eq,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dl(X0),X1),X2),X3)) ) ),
    inference(flattening,[],[f2110]) ).

fof(f2174,plain,
    ! [X0,X1] :
      ( pp(aa_bool_bool(scratc720935180d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc851924119d_n_eq,X0),X1)))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305369_moreq,X0),X1)) ),
    inference(cnf_transformation,[],[f1332]) ).

fof(f2176,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc519546310nd_iii,aa_TPTP_ind_TPTP_ind(scratc852908106d_n_ts(aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc852908106d_n_ts(aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,X0))))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,X0),X1)) ),
    inference(cnf_transformation,[],[f1333]) ).

fof(f2177,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,X0),X1))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc519546310nd_iii,aa_TPTP_ind_TPTP_ind(scratc852908106d_n_ts(aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc852908106d_n_ts(aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,X0)))) ),
    inference(cnf_transformation,[],[f1333]) ).

fof(f2178,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc420092872_29_ii,aa_TPTP_ind_TPTP_ind(scratc852908106d_n_ts(aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc852908106d_n_ts(aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,X0))))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1)) ),
    inference(cnf_transformation,[],[f1334]) ).

fof(f2179,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc420092872_29_ii,aa_TPTP_ind_TPTP_ind(scratc852908106d_n_ts(aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc852908106d_n_ts(aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,X0)))) ),
    inference(cnf_transformation,[],[f1334]) ).

fof(f2215,plain,
    ! [X0] : scratc852908106d_n_ts(X0) = aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,X0)),
    inference(cnf_transformation,[],[f67]) ).

fof(f2237,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc1904795583n_some,aa_TPT43085870d_bool(scratc682059371ffprop(X1),X0)))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc519546310nd_iii,X0),X1)) ),
    inference(cnf_transformation,[],[f1348]) ).

fof(f2238,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc519546310nd_iii,X0),X1))
      | ~ pp(aa_fun171081125l_bool(scratc1904795583n_some,aa_TPT43085870d_bool(scratc682059371ffprop(X1),X0))) ),
    inference(cnf_transformation,[],[f1348]) ).

fof(f2239,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc1904795583n_some,aa_TPT43085870d_bool(scratc682059371ffprop(X0),X1)))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc420092872_29_ii,X0),X1)) ),
    inference(cnf_transformation,[],[f1349]) ).

fof(f2240,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc420092872_29_ii,X0),X1))
      | ~ pp(aa_fun171081125l_bool(scratc1904795583n_some,aa_TPT43085870d_bool(scratc682059371ffprop(X0),X1))) ),
    inference(cnf_transformation,[],[f1349]) ).

fof(f2355,plain,
    ! [X0] : aa_boo1142376798l_bool(scratc519808713nd_imp,scratc2052427826_d_not(X0)) = scratc720935180d_l_or(X0),
    inference(cnf_transformation,[],[f162]) ).

fof(f2362,plain,
    ! [X0] :
      ( pp(scratc2052427826_d_not(X0))
      | ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc519808713nd_imp,X0),fFalse)) ),
    inference(cnf_transformation,[],[f1389]) ).

fof(f2363,plain,
    scratc519808713nd_imp = fimplies,
    inference(cnf_transformation,[],[f168]) ).

fof(f2425,plain,
    ! [X3,X0,X1] :
      ( pp(aa_TPTP_ind_bool(X1,X3))
      | ~ scratc810023396_is_of(X3,X0)
      | ~ gg_TPTP_ind(X3)
      | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(X0),X1)) ),
    inference(cnf_transformation,[],[f1414]) ).

fof(f2426,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc2050310133all_of(X0),X1))
      | gg_TPTP_ind(sK12(X0,X1)) ),
    inference(cnf_transformation,[],[f1414]) ).

fof(f2427,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc2050310133all_of(X0),X1))
      | scratc810023396_is_of(sK12(X0,X1),X0) ),
    inference(cnf_transformation,[],[f1414]) ).

fof(f2428,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc2050310133all_of(X0),X1))
      | ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1))) ),
    inference(cnf_transformation,[],[f1414]) ).

fof(f2432,plain,
    pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aTP_Lamm_cg)),
    inference(cnf_transformation,[],[f202]) ).

fof(f2442,plain,
    pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aTP_Lamm_do)),
    inference(cnf_transformation,[],[f212]) ).

fof(f2481,plain,
    pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aTP_Lamm_hr)),
    inference(cnf_transformation,[],[f251]) ).

fof(f2996,plain,
    ! [X0] :
      ( pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hq,X0)))
      | ~ pp(aa_TPTP_ind_bool(aTP_Lamm_hr,X0)) ),
    inference(cnf_transformation,[],[f1575]) ).

fof(f3066,plain,
    ! [X0] :
      ( pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dn,X0)))
      | ~ pp(aa_TPTP_ind_bool(aTP_Lamm_do,X0)) ),
    inference(cnf_transformation,[],[f1610]) ).

fof(f3086,plain,
    ! [X0] :
      ( pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,X0)))
      | ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cg,X0)) ),
    inference(cnf_transformation,[],[f1620]) ).

fof(f3091,plain,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0))
      | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0))) ),
    inference(cnf_transformation,[],[f1622]) ).

fof(f3200,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,X1),X0))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hq,X0),X1)) ),
    inference(cnf_transformation,[],[f1688]) ).

fof(f3476,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dm(X0),X1)))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dn,X0),X1)) ),
    inference(cnf_transformation,[],[f1834]) ).

fof(f3496,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ce(X0),X1)))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,X0),X1)) ),
    inference(cnf_transformation,[],[f1844]) ).

fof(f3501,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1))
      | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1))) ),
    inference(cnf_transformation,[],[f1846]) ).

fof(f3821,plain,
    ! [X2,X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dl(X0),X1),X2)))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dm(X0),X1),X2)) ),
    inference(cnf_transformation,[],[f2029]) ).

fof(f3829,plain,
    ! [X2,X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cd(X0),X1),X2)))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ce(X0),X1),X2)) ),
    inference(cnf_transformation,[],[f2033]) ).

fof(f3834,plain,
    ! [X2,X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2))
      | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2))) ),
    inference(cnf_transformation,[],[f2035]) ).

fof(f3931,plain,
    ! [X2,X3,X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
      | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1)) ),
    inference(cnf_transformation,[],[f2083]) ).

fof(f3932,plain,
    ! [X2,X3,X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
      | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305369_moreq,X2),X3)) ),
    inference(cnf_transformation,[],[f2083]) ).

fof(f3933,plain,
    ! [X2,X3,X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X1),X3))) ),
    inference(cnf_transformation,[],[f2083]) ).

fof(f3934,plain,
    ! [X2,X3,X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X1),X3)))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X2),X3))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ch(X0),X1),X2),X3)) ),
    inference(cnf_transformation,[],[f2085]) ).

fof(f3936,plain,
    ! [X2,X3,X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ch(X0),X1),X2),X3))
      | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X2),X3)) ),
    inference(cnf_transformation,[],[f2085]) ).

fof(f3943,plain,
    ! [X2,X3,X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X1),X3)))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,X2),X3))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,X0),X1))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cd(X0),X1),X2),X3)) ),
    inference(cnf_transformation,[],[f2089]) ).

fof(f3988,plain,
    ! [X2,X3,X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(X3),X1)))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X2),X3))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc851924119d_n_eq,X0),X1))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dl(X0),X1),X2),X3)) ),
    inference(cnf_transformation,[],[f2111]) ).

fof(f4061,plain,
    ! [X0,X1] :
      ( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
      | ~ pp(X0)
      | pp(X1) ),
    inference(cnf_transformation,[],[f1036]) ).

fof(f4063,plain,
    ! [X0,X1] :
      ( pp(X0)
      | pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
    inference(cnf_transformation,[],[f1038]) ).

fof(f4070,plain,
    ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aTP_Lamm_ad)),
    inference(cnf_transformation,[],[f1047]) ).

fof(f4073,plain,
    ! [X0] : scratc720935180d_l_or(X0) = aa_boo1142376798l_bool(fimplies,scratc2052427826_d_not(X0)),
    inference(definition_unfolding,[],[f2355,f2363]) ).

fof(f4081,plain,
    ! [X0,X1] :
      ( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc2052427826_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc851924119d_n_eq,X0),X1)))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305369_moreq,X0),X1)) ),
    inference(definition_unfolding,[],[f2174,f4073]) ).

fof(f4082,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,X0),X1))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc519546310nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,X1))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,X0)))) ),
    inference(definition_unfolding,[],[f2177,f2215,f2215]) ).

fof(f4083,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc519546310nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,X1))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,X0))))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,X0),X1)) ),
    inference(definition_unfolding,[],[f2176,f2215,f2215]) ).

fof(f4084,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc420092872_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,X1))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,X0)))) ),
    inference(definition_unfolding,[],[f2179,f2215,f2215]) ).

fof(f4085,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc420092872_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,X1))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,X0))))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,X0),X1)) ),
    inference(definition_unfolding,[],[f2178,f2215,f2215]) ).

fof(f4155,plain,
    ! [X0] :
      ( pp(scratc2052427826_d_not(X0))
      | ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse)) ),
    inference(definition_unfolding,[],[f2362,f2363]) ).

fof(f4415,definition,
    ( spl29_1
  <=> pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aTP_Lamm_ad)) ),
    introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).

fof(f4417,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aTP_Lamm_ad))
    | spl29_1 ),
    inference(avatar_component_clause,[],[f4415]) ).

fof(f4418,plain,
    ~ spl29_1,
    inference(avatar_split_clause,[],[f4070,f4415]) ).

fof(f4419,plain,
    ( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ad))
    | spl29_1 ),
    inference(resolution,[],[f4417,f2426]) ).

fof(f4420,plain,
    ( scratc810023396_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),aTP_Lamm_a)
    | spl29_1 ),
    inference(resolution,[],[f4417,f2427]) ).

fof(f4421,plain,
    ( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ad,sK12(aTP_Lamm_a,aTP_Lamm_ad)))
    | spl29_1 ),
    inference(resolution,[],[f4417,f2428]) ).

fof(f4434,definition,
    ( spl29_2
  <=> scratc810023396_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),aTP_Lamm_a) ),
    introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).

fof(f4436,plain,
    ( scratc810023396_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),aTP_Lamm_a)
    | ~ spl29_2 ),
    inference(avatar_component_clause,[],[f4434]) ).

fof(f4437,plain,
    ( spl29_2
    | spl29_1 ),
    inference(avatar_split_clause,[],[f4420,f4415,f4434]) ).

fof(f4439,definition,
    ( spl29_3
  <=> gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ad)) ),
    introduced(definition,[new_symbols(definition,[spl29_3])],[avatar_definition]) ).

fof(f4441,plain,
    ( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ad))
    | ~ spl29_3 ),
    inference(avatar_component_clause,[],[f4439]) ).

fof(f4442,plain,
    ( spl29_3
    | spl29_1 ),
    inference(avatar_split_clause,[],[f4419,f4415,f4439]) ).

fof(f4444,plain,
    ( ! [X0] :
        ( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ad)))
        | ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ad))
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),X0)) )
    | ~ spl29_2 ),
    inference(resolution,[],[f4436,f2425]) ).

fof(f4445,plain,
    ( ! [X0] :
        ( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ad)))
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),X0)) )
    | ~ spl29_2
    | ~ spl29_3 ),
    inference(forward_subsumption_resolution,[],[f4444,f4441]) ).

fof(f4447,definition,
    ( spl29_4
  <=> ! [X0] :
        ( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ad)))
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),X0)) ) ),
    introduced(definition,[new_symbols(definition,[spl29_4])],[avatar_definition]) ).

fof(f4448,plain,
    ( ! [X0] :
        ( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ad)))
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),X0)) )
    | ~ spl29_4 ),
    inference(avatar_component_clause,[],[f4447]) ).

fof(f4449,plain,
    ( spl29_4
    | ~ spl29_2
    | ~ spl29_3 ),
    inference(avatar_split_clause,[],[f4445,f4439,f4434,f4447]) ).

fof(f5237,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aTP_Lamm_hr))
    | pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hq,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
    | ~ spl29_4 ),
    inference(resolution,[],[f4448,f2996]) ).

fof(f5398,plain,
    ( pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hq,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
    | ~ spl29_4 ),
    inference(forward_subsumption_resolution,[],[f5237,f2481]) ).

fof(f5518,definition,
    ( spl29_5
  <=> pp(aa_TPTP_ind_bool(aTP_Lamm_ad,sK12(aTP_Lamm_a,aTP_Lamm_ad))) ),
    introduced(definition,[new_symbols(definition,[spl29_5])],[avatar_definition]) ).

fof(f5520,plain,
    ( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ad,sK12(aTP_Lamm_a,aTP_Lamm_ad)))
    | spl29_5 ),
    inference(avatar_component_clause,[],[f5518]) ).

fof(f5521,plain,
    ( ~ spl29_5
    | spl29_1 ),
    inference(avatar_split_clause,[],[f4421,f4415,f5518]) ).

fof(f5522,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
    | spl29_5 ),
    inference(resolution,[],[f5520,f3091]) ).

fof(f5561,definition,
    ( spl29_6
  <=> pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))) ),
    introduced(definition,[new_symbols(definition,[spl29_6])],[avatar_definition]) ).

fof(f5563,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
    | spl29_6 ),
    inference(avatar_component_clause,[],[f5561]) ).

fof(f5564,plain,
    ( ~ spl29_6
    | spl29_5 ),
    inference(avatar_split_clause,[],[f5522,f5518,f5561]) ).

fof(f5566,plain,
    ( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
    | spl29_6 ),
    inference(resolution,[],[f5563,f2426]) ).

fof(f5567,plain,
    ( scratc810023396_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))),aTP_Lamm_a)
    | spl29_6 ),
    inference(resolution,[],[f5563,f2427]) ).

fof(f5568,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
    | spl29_6 ),
    inference(resolution,[],[f5563,f2428]) ).

fof(f5581,definition,
    ( spl29_7
  <=> scratc810023396_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))),aTP_Lamm_a) ),
    introduced(definition,[new_symbols(definition,[spl29_7])],[avatar_definition]) ).

fof(f5583,plain,
    ( scratc810023396_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))),aTP_Lamm_a)
    | ~ spl29_7 ),
    inference(avatar_component_clause,[],[f5581]) ).

fof(f5584,plain,
    ( spl29_7
    | spl29_6 ),
    inference(avatar_split_clause,[],[f5567,f5561,f5581]) ).

fof(f5586,definition,
    ( spl29_8
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))) ),
    introduced(definition,[new_symbols(definition,[spl29_8])],[avatar_definition]) ).

fof(f5588,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
    | spl29_8 ),
    inference(avatar_component_clause,[],[f5586]) ).

fof(f5589,plain,
    ( ~ spl29_8
    | spl29_6 ),
    inference(avatar_split_clause,[],[f5568,f5561,f5586]) ).

fof(f5590,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
    | spl29_8 ),
    inference(resolution,[],[f5588,f3501]) ).

fof(f5636,definition,
    ( spl29_9
  <=> pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))) ),
    introduced(definition,[new_symbols(definition,[spl29_9])],[avatar_definition]) ).

fof(f5638,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
    | spl29_9 ),
    inference(avatar_component_clause,[],[f5636]) ).

fof(f5639,plain,
    ( ~ spl29_9
    | spl29_8 ),
    inference(avatar_split_clause,[],[f5590,f5586,f5636]) ).

fof(f5641,plain,
    ( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
    | spl29_9 ),
    inference(resolution,[],[f5638,f2426]) ).

fof(f5642,plain,
    ( scratc810023396_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),aTP_Lamm_a)
    | spl29_9 ),
    inference(resolution,[],[f5638,f2427]) ).

fof(f5643,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
    | spl29_9 ),
    inference(resolution,[],[f5638,f2428]) ).

fof(f5656,definition,
    ( spl29_10
  <=> scratc810023396_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),aTP_Lamm_a) ),
    introduced(definition,[new_symbols(definition,[spl29_10])],[avatar_definition]) ).

fof(f5658,plain,
    ( scratc810023396_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),aTP_Lamm_a)
    | ~ spl29_10 ),
    inference(avatar_component_clause,[],[f5656]) ).

fof(f5659,plain,
    ( spl29_10
    | spl29_9 ),
    inference(avatar_split_clause,[],[f5642,f5636,f5656]) ).

fof(f5661,plain,
    ( ! [X0] :
        ( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
        | ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),X0)) )
    | ~ spl29_10 ),
    inference(resolution,[],[f5658,f2425]) ).

fof(f5662,plain,
    ( ! [X0] :
        ( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),X0)) )
    | spl29_9
    | ~ spl29_10 ),
    inference(forward_subsumption_resolution,[],[f5661,f5641]) ).

fof(f5664,plain,
    ( ! [X0] :
        ( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
        | ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),X0)) )
    | ~ spl29_7 ),
    inference(resolution,[],[f5583,f2425]) ).

fof(f5665,plain,
    ( ! [X0] :
        ( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),X0)) )
    | spl29_6
    | ~ spl29_7 ),
    inference(forward_subsumption_resolution,[],[f5664,f5566]) ).

fof(f5667,definition,
    ( spl29_11
  <=> ! [X0] :
        ( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),X0)) ) ),
    introduced(definition,[new_symbols(definition,[spl29_11])],[avatar_definition]) ).

fof(f5668,plain,
    ( ! [X0] :
        ( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),X0)) )
    | ~ spl29_11 ),
    inference(avatar_component_clause,[],[f5667]) ).

fof(f5669,plain,
    ( spl29_11
    | spl29_6
    | ~ spl29_7 ),
    inference(avatar_split_clause,[],[f5665,f5581,f5561,f5667]) ).

fof(f6408,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aTP_Lamm_cg))
    | pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
    | ~ spl29_11 ),
    inference(resolution,[],[f5668,f3086]) ).

fof(f6666,plain,
    ( pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
    | ~ spl29_11 ),
    inference(forward_subsumption_resolution,[],[f6408,f2432]) ).

fof(f6744,definition,
    ( spl29_13
  <=> ! [X0] :
        ( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),X0)) ) ),
    introduced(definition,[new_symbols(definition,[spl29_13])],[avatar_definition]) ).

fof(f6745,plain,
    ( ! [X0] :
        ( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),X0)) )
    | ~ spl29_13 ),
    inference(avatar_component_clause,[],[f6744]) ).

fof(f6746,plain,
    ( spl29_13
    | spl29_9
    | ~ spl29_10 ),
    inference(avatar_split_clause,[],[f5662,f5656,f5636,f6744]) ).

fof(f6932,definition,
    ( spl29_15
  <=> gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))) ),
    introduced(definition,[new_symbols(definition,[spl29_15])],[avatar_definition]) ).

fof(f6934,plain,
    ( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
    | ~ spl29_15 ),
    inference(avatar_component_clause,[],[f6932]) ).

fof(f6935,plain,
    ( spl29_15
    | spl29_9 ),
    inference(avatar_split_clause,[],[f5641,f5636,f6932]) ).

fof(f7683,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aTP_Lamm_do))
    | pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dn,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
    | ~ spl29_13 ),
    inference(resolution,[],[f6745,f3066]) ).

fof(f7921,plain,
    ( pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dn,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
    | ~ spl29_13 ),
    inference(forward_subsumption_resolution,[],[f7683,f2442]) ).

fof(f8004,definition,
    ( spl29_16
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))) ),
    introduced(definition,[new_symbols(definition,[spl29_16])],[avatar_definition]) ).

fof(f8006,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
    | spl29_16 ),
    inference(avatar_component_clause,[],[f8004]) ).

fof(f8007,plain,
    ( ~ spl29_16
    | spl29_9 ),
    inference(avatar_split_clause,[],[f5643,f5636,f8004]) ).

fof(f8008,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
    | spl29_16 ),
    inference(resolution,[],[f8006,f3834]) ).

fof(f8055,definition,
    ( spl29_17
  <=> pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))) ),
    introduced(definition,[new_symbols(definition,[spl29_17])],[avatar_definition]) ).

fof(f8057,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
    | spl29_17 ),
    inference(avatar_component_clause,[],[f8055]) ).

fof(f8058,plain,
    ( ~ spl29_17
    | spl29_16 ),
    inference(avatar_split_clause,[],[f8008,f8004,f8055]) ).

fof(f8060,plain,
    ( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
    | spl29_17 ),
    inference(resolution,[],[f8057,f2426]) ).

fof(f8061,plain,
    ( scratc810023396_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aTP_Lamm_a)
    | spl29_17 ),
    inference(resolution,[],[f8057,f2427]) ).

fof(f8062,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
    | spl29_17 ),
    inference(resolution,[],[f8057,f2428]) ).

fof(f8075,definition,
    ( spl29_18
  <=> scratc810023396_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aTP_Lamm_a) ),
    introduced(definition,[new_symbols(definition,[spl29_18])],[avatar_definition]) ).

fof(f8077,plain,
    ( scratc810023396_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aTP_Lamm_a)
    | ~ spl29_18 ),
    inference(avatar_component_clause,[],[f8075]) ).

fof(f8078,plain,
    ( spl29_18
    | spl29_17 ),
    inference(avatar_split_clause,[],[f8061,f8055,f8075]) ).

fof(f8080,plain,
    ( ! [X0] :
        ( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
        | ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),X0)) )
    | ~ spl29_18 ),
    inference(resolution,[],[f8077,f2425]) ).

fof(f8081,plain,
    ( ! [X0] :
        ( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),X0)) )
    | spl29_17
    | ~ spl29_18 ),
    inference(forward_subsumption_resolution,[],[f8080,f8060]) ).

fof(f8090,definition,
    ( spl29_20
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
    introduced(definition,[new_symbols(definition,[spl29_20])],[avatar_definition]) ).

fof(f8092,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
    | spl29_20 ),
    inference(avatar_component_clause,[],[f8090]) ).

fof(f8093,plain,
    ( ~ spl29_20
    | spl29_17 ),
    inference(avatar_split_clause,[],[f8062,f8055,f8090]) ).

fof(f8094,plain,
    ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
    | spl29_20 ),
    inference(resolution,[],[f8092,f3931]) ).

fof(f8095,plain,
    ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305369_moreq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
    | spl29_20 ),
    inference(resolution,[],[f8092,f3932]) ).

fof(f8096,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
    | spl29_20 ),
    inference(resolution,[],[f8092,f3933]) ).

fof(f8142,definition,
    ( spl29_21
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))) ),
    introduced(definition,[new_symbols(definition,[spl29_21])],[avatar_definition]) ).

fof(f8144,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
    | spl29_21 ),
    inference(avatar_component_clause,[],[f8142]) ).

fof(f8145,plain,
    ( ~ spl29_21
    | spl29_20 ),
    inference(avatar_split_clause,[],[f8096,f8090,f8142]) ).

fof(f8146,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
    | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc851924119d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
    | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dl(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
    | spl29_21 ),
    inference(resolution,[],[f8144,f3988]) ).

fof(f8148,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
    | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
    | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ch(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
    | spl29_21 ),
    inference(resolution,[],[f8144,f3934]) ).

fof(f8172,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc420092872_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
    | spl29_21 ),
    inference(resolution,[],[f8144,f4084]) ).

fof(f8217,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
    | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ch(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
    | spl29_20
    | spl29_21 ),
    inference(forward_subsumption_resolution,[],[f8148,f8094]) ).

fof(f8218,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc851924119d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
    | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dl(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
    | spl29_20
    | spl29_21 ),
    inference(forward_subsumption_resolution,[],[f8146,f8094]) ).

fof(f8220,definition,
    ( spl29_22
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ch(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
    introduced(definition,[new_symbols(definition,[spl29_22])],[avatar_definition]) ).

fof(f8222,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ch(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
    | spl29_22 ),
    inference(avatar_component_clause,[],[f8220]) ).

fof(f8224,definition,
    ( spl29_23
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
    introduced(definition,[new_symbols(definition,[spl29_23])],[avatar_definition]) ).

fof(f8226,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
    | spl29_23 ),
    inference(avatar_component_clause,[],[f8224]) ).

fof(f8227,plain,
    ( ~ spl29_22
    | ~ spl29_23
    | spl29_20
    | spl29_21 ),
    inference(avatar_split_clause,[],[f8217,f8142,f8090,f8224,f8220]) ).

fof(f8229,plain,
    ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
    | spl29_22 ),
    inference(resolution,[],[f8222,f3936]) ).

fof(f8296,definition,
    ( spl29_28
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dl(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))) ),
    introduced(definition,[new_symbols(definition,[spl29_28])],[avatar_definition]) ).

fof(f8298,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dl(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
    | spl29_28 ),
    inference(avatar_component_clause,[],[f8296]) ).

fof(f8300,definition,
    ( spl29_29
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc851924119d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
    introduced(definition,[new_symbols(definition,[spl29_29])],[avatar_definition]) ).

fof(f8302,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc851924119d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
    | spl29_29 ),
    inference(avatar_component_clause,[],[f8300]) ).

fof(f8303,plain,
    ( ~ spl29_28
    | ~ spl29_29
    | spl29_20
    | spl29_21 ),
    inference(avatar_split_clause,[],[f8218,f8142,f8090,f8300,f8296]) ).

fof(f8313,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dl(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aTP_Lamm_ad))))
    | ~ spl29_11
    | spl29_28 ),
    inference(resolution,[],[f8298,f5668]) ).

fof(f8635,definition,
    ( spl29_34
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))) ),
    introduced(definition,[new_symbols(definition,[spl29_34])],[avatar_definition]) ).

fof(f8636,plain,
    ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
    | ~ spl29_34 ),
    inference(avatar_component_clause,[],[f8635]) ).

fof(f8637,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
    | spl29_34 ),
    inference(avatar_component_clause,[],[f8635]) ).

fof(f8991,definition,
    ( spl29_41
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc420092872_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))) ),
    introduced(definition,[new_symbols(definition,[spl29_41])],[avatar_definition]) ).

fof(f8993,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc420092872_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
    | spl29_41 ),
    inference(avatar_component_clause,[],[f8991]) ).

fof(f8994,plain,
    ( ~ spl29_41
    | spl29_21 ),
    inference(avatar_split_clause,[],[f8172,f8142,f8991]) ).

fof(f9001,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc1904795583n_some,aa_TPT43085870d_bool(scratc682059371ffprop(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))))
    | spl29_41 ),
    inference(resolution,[],[f8993,f2240]) ).

fof(f9078,definition,
    ( spl29_42
  <=> pp(aa_fun171081125l_bool(scratc1904795583n_some,aa_TPT43085870d_bool(scratc682059371ffprop(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))) ),
    introduced(definition,[new_symbols(definition,[spl29_42])],[avatar_definition]) ).

fof(f9080,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc1904795583n_some,aa_TPT43085870d_bool(scratc682059371ffprop(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))))
    | spl29_42 ),
    inference(avatar_component_clause,[],[f9078]) ).

fof(f9081,plain,
    ( ~ spl29_42
    | spl29_41 ),
    inference(avatar_split_clause,[],[f9001,f8991,f9078]) ).

fof(f9083,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc519546310nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))))
    | spl29_42 ),
    inference(resolution,[],[f9080,f2237]) ).

fof(f9197,definition,
    ( spl29_44
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dm(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aTP_Lamm_ad))) ),
    introduced(definition,[new_symbols(definition,[spl29_44])],[avatar_definition]) ).

fof(f9198,plain,
    ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dm(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
    | ~ spl29_44 ),
    inference(avatar_component_clause,[],[f9197]) ).

fof(f9199,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dm(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
    | spl29_44 ),
    inference(avatar_component_clause,[],[f9197]) ).

fof(f9212,plain,
    ( ! [X0] :
        ( ~ scratc810023396_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),X0)
        | ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ad))
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_dm(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))) )
    | spl29_44 ),
    inference(resolution,[],[f9199,f2425]) ).

fof(f9246,plain,
    ( ! [X0] :
        ( ~ scratc810023396_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),X0)
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_dm(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))) )
    | ~ spl29_3
    | spl29_44 ),
    inference(forward_subsumption_resolution,[],[f9212,f4441]) ).

fof(f9248,definition,
    ( spl29_45
  <=> pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dl(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))) ),
    introduced(definition,[new_symbols(definition,[spl29_45])],[avatar_definition]) ).

fof(f9250,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dl(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aTP_Lamm_ad))))
    | spl29_45 ),
    inference(avatar_component_clause,[],[f9248]) ).

fof(f9251,plain,
    ( ~ spl29_45
    | ~ spl29_11
    | spl29_28 ),
    inference(avatar_split_clause,[],[f8313,f8296,f5667,f9248]) ).

fof(f9587,plain,
    ( ! [X0] : pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))),X0))
    | spl29_23 ),
    inference(resolution,[],[f8226,f4063]) ).

fof(f9729,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc519546310nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))))
    | spl29_34 ),
    inference(resolution,[],[f8637,f4082]) ).

fof(f10457,definition,
    ( spl29_61
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc519546310nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))))) ),
    introduced(definition,[new_symbols(definition,[spl29_61])],[avatar_definition]) ).

fof(f10459,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc519546310nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))))
    | spl29_61 ),
    inference(avatar_component_clause,[],[f10457]) ).

fof(f10460,plain,
    ( ~ spl29_61
    | spl29_42 ),
    inference(avatar_split_clause,[],[f9083,f9078,f10457]) ).

fof(f10461,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
    | spl29_61 ),
    inference(resolution,[],[f10459,f4083]) ).

fof(f10548,definition,
    ( spl29_62
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))) ),
    introduced(definition,[new_symbols(definition,[spl29_62])],[avatar_definition]) ).

fof(f10550,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))),aa_TPTP_ind_TPTP_ind(scratc852645697d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
    | spl29_62 ),
    inference(avatar_component_clause,[],[f10548]) ).

fof(f10551,plain,
    ( ~ spl29_62
    | spl29_61 ),
    inference(avatar_split_clause,[],[f10461,f10457,f10548]) ).

fof(f10554,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
    | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
    | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cd(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
    | spl29_62 ),
    inference(resolution,[],[f10550,f3943]) ).

fof(f10625,definition,
    ( spl29_63
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305369_moreq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
    introduced(definition,[new_symbols(definition,[spl29_63])],[avatar_definition]) ).

fof(f10627,plain,
    ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305369_moreq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
    | ~ spl29_63 ),
    inference(avatar_component_clause,[],[f10625]) ).

fof(f10628,plain,
    ( spl29_63
    | spl29_20 ),
    inference(avatar_split_clause,[],[f8095,f8090,f10625]) ).

fof(f10639,plain,
    ( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc2052427826_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc851924119d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
    | ~ spl29_63 ),
    inference(resolution,[],[f10627,f4081]) ).

fof(f10673,definition,
    ( spl29_64
  <=> pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc2052427826_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc851924119d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))) ),
    introduced(definition,[new_symbols(definition,[spl29_64])],[avatar_definition]) ).

fof(f10675,plain,
    ( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc2052427826_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc851924119d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
    | ~ spl29_64 ),
    inference(avatar_component_clause,[],[f10673]) ).

fof(f10676,plain,
    ( spl29_64
    | ~ spl29_63 ),
    inference(avatar_split_clause,[],[f10639,f10625,f10673]) ).

fof(f10678,plain,
    ( ~ pp(scratc2052427826_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
    | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc851924119d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
    | ~ spl29_64 ),
    inference(resolution,[],[f10675,f4061]) ).

fof(f10744,definition,
    ( spl29_67
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc420092872_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
    introduced(definition,[new_symbols(definition,[spl29_67])],[avatar_definition]) ).

fof(f10745,plain,
    ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc420092872_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
    | ~ spl29_67 ),
    inference(avatar_component_clause,[],[f10744]) ).

fof(f10746,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc420092872_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
    | spl29_67 ),
    inference(avatar_component_clause,[],[f10744]) ).

fof(f10748,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
    | spl29_67 ),
    inference(resolution,[],[f10746,f4085]) ).

fof(f10831,definition,
    ( spl29_68
  <=> pp(aa_fun171081125l_bool(scratc1904795583n_some,aa_TPT43085870d_bool(scratc682059371ffprop(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))) ),
    introduced(definition,[new_symbols(definition,[spl29_68])],[avatar_definition]) ).

fof(f10832,plain,
    ( pp(aa_fun171081125l_bool(scratc1904795583n_some,aa_TPT43085870d_bool(scratc682059371ffprop(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
    | ~ spl29_68 ),
    inference(avatar_component_clause,[],[f10831]) ).

fof(f10833,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc1904795583n_some,aa_TPT43085870d_bool(scratc682059371ffprop(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
    | spl29_68 ),
    inference(avatar_component_clause,[],[f10831]) ).

fof(f10835,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc420092872_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
    | spl29_68 ),
    inference(resolution,[],[f10833,f2239]) ).

fof(f10849,definition,
    ( spl29_69
  <=> gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))) ),
    introduced(definition,[new_symbols(definition,[spl29_69])],[avatar_definition]) ).

fof(f10851,plain,
    ( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
    | ~ spl29_69 ),
    inference(avatar_component_clause,[],[f10849]) ).

fof(f10852,plain,
    ( spl29_69
    | spl29_17 ),
    inference(avatar_split_clause,[],[f8060,f8055,f10849]) ).

fof(f10950,definition,
    ( spl29_72
  <=> ! [X0] :
        ( ~ scratc810023396_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),X0)
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_dm(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))) ) ),
    introduced(definition,[new_symbols(definition,[spl29_72])],[avatar_definition]) ).

fof(f10951,plain,
    ( ! [X0] :
        ( ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_dm(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
        | ~ scratc810023396_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),X0) )
    | ~ spl29_72 ),
    inference(avatar_component_clause,[],[f10950]) ).

fof(f10952,plain,
    ( spl29_72
    | ~ spl29_3
    | spl29_44 ),
    inference(avatar_split_clause,[],[f9246,f9197,f4439,f10950]) ).

fof(f10953,plain,
    ( ~ pp(scratc2052427826_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
    | spl29_29
    | ~ spl29_64 ),
    inference(forward_subsumption_resolution,[],[f10678,f8302]) ).

fof(f11022,definition,
    ( spl29_73
  <=> pp(scratc2052427826_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))) ),
    introduced(definition,[new_symbols(definition,[spl29_73])],[avatar_definition]) ).

fof(f11024,plain,
    ( ~ pp(scratc2052427826_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
    | spl29_73 ),
    inference(avatar_component_clause,[],[f11022]) ).

fof(f11025,plain,
    ( ~ spl29_73
    | spl29_29
    | ~ spl29_64 ),
    inference(avatar_split_clause,[],[f10953,f10673,f8300,f11022]) ).

fof(f11065,plain,
    ( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))),fFalse))
    | spl29_73 ),
    inference(resolution,[],[f11024,f4155]) ).

fof(f11077,plain,
    ( $false
    | spl29_23
    | spl29_73 ),
    inference(forward_subsumption_resolution,[],[f11065,f9587]) ).

fof(f11078,plain,
    ( spl29_23
    | spl29_73 ),
    inference(avatar_contradiction_clause,[],[f11077]) ).

fof(f11084,plain,
    ( $false
    | spl29_22
    | spl29_67 ),
    inference(forward_subsumption_resolution,[],[f10748,f8229]) ).

fof(f11085,plain,
    ( spl29_22
    | spl29_67 ),
    inference(avatar_contradiction_clause,[],[f11084]) ).

fof(f11086,plain,
    ( $false
    | ~ spl29_67
    | spl29_68 ),
    inference(forward_subsumption_resolution,[],[f10835,f10745]) ).

fof(f11087,plain,
    ( ~ spl29_67
    | spl29_68 ),
    inference(avatar_contradiction_clause,[],[f11086]) ).

fof(f11236,plain,
    ( pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dl(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aTP_Lamm_ad))))
    | ~ spl29_44 ),
    inference(resolution,[],[f9198,f3821]) ).

fof(f11269,plain,
    ( $false
    | ~ spl29_44
    | spl29_45 ),
    inference(forward_subsumption_resolution,[],[f11236,f9250]) ).

fof(f11270,plain,
    ( ~ spl29_44
    | spl29_45 ),
    inference(avatar_contradiction_clause,[],[f11269]) ).

fof(f11400,plain,
    ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc519546310nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc846213490bnd_ap,aa_TPTP_ind_TPTP_ind(scratc578457379_times,aa_TPTP_ind_TPTP_ind(scratc561641027nd_num,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),aa_TPTP_ind_TPTP_ind(scratc477976394nd_den,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))))
    | ~ spl29_68 ),
    inference(resolution,[],[f10832,f2238]) ).

fof(f11412,plain,
    ( $false
    | spl29_34
    | ~ spl29_68 ),
    inference(forward_subsumption_resolution,[],[f11400,f9729]) ).

fof(f11413,plain,
    ( spl29_34
    | ~ spl29_68 ),
    inference(avatar_contradiction_clause,[],[f11412]) ).

fof(f11423,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
    | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cd(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
    | ~ spl29_34
    | spl29_62 ),
    inference(forward_subsumption_resolution,[],[f10554,f8636]) ).

fof(f11525,definition,
    ( spl29_79
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cd(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))) ),
    introduced(definition,[new_symbols(definition,[spl29_79])],[avatar_definition]) ).

fof(f11527,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cd(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
    | spl29_79 ),
    inference(avatar_component_clause,[],[f11525]) ).

fof(f11529,definition,
    ( spl29_80
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad))) ),
    introduced(definition,[new_symbols(definition,[spl29_80])],[avatar_definition]) ).

fof(f11531,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1274983562_lessf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
    | spl29_80 ),
    inference(avatar_component_clause,[],[f11529]) ).

fof(f11532,plain,
    ( ~ spl29_79
    | ~ spl29_80
    | ~ spl29_34
    | spl29_62 ),
    inference(avatar_split_clause,[],[f11423,f10548,f8635,f11529,f11525]) ).

fof(f11546,plain,
    ( ! [X0] :
        ( ~ scratc810023396_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),X0)
        | ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(X0),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cd(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))) )
    | spl29_79 ),
    inference(resolution,[],[f11527,f2425]) ).

fof(f11580,plain,
    ( ! [X0] :
        ( ~ scratc810023396_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),X0)
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(X0),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cd(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))) )
    | ~ spl29_15
    | spl29_79 ),
    inference(forward_subsumption_resolution,[],[f11546,f6934]) ).

fof(f11644,definition,
    ( spl29_81
  <=> ! [X0] :
        ( ~ scratc810023396_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),X0)
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(X0),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cd(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))) ) ),
    introduced(definition,[new_symbols(definition,[spl29_81])],[avatar_definition]) ).

fof(f11645,plain,
    ( ! [X0] :
        ( ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(X0),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cd(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
        | ~ scratc810023396_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),X0) )
    | ~ spl29_81 ),
    inference(avatar_component_clause,[],[f11644]) ).

fof(f11646,plain,
    ( spl29_81
    | ~ spl29_15
    | spl29_79 ),
    inference(avatar_split_clause,[],[f11580,f11525,f6932,f11644]) ).

fof(f11647,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1621305358_moref,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
    | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hq,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
    | spl29_80 ),
    inference(resolution,[],[f11531,f3200]) ).

fof(f11716,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hq,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
    | spl29_20
    | spl29_80 ),
    inference(forward_subsumption_resolution,[],[f11647,f8094]) ).

fof(f11718,definition,
    ( spl29_82
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hq,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))) ),
    introduced(definition,[new_symbols(definition,[spl29_82])],[avatar_definition]) ).

fof(f11720,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hq,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
    | spl29_82 ),
    inference(avatar_component_clause,[],[f11718]) ).

fof(f11721,plain,
    ( ~ spl29_82
    | spl29_20
    | spl29_80 ),
    inference(avatar_split_clause,[],[f11716,f11529,f8090,f11718]) ).

fof(f11730,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hq,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
    | ~ spl29_11
    | spl29_82 ),
    inference(resolution,[],[f11720,f5668]) ).

fof(f11769,plain,
    ( $false
    | ~ spl29_4
    | ~ spl29_11
    | spl29_82 ),
    inference(forward_subsumption_resolution,[],[f11730,f5398]) ).

fof(f11770,plain,
    ( ~ spl29_4
    | ~ spl29_11
    | spl29_82 ),
    inference(avatar_contradiction_clause,[],[f11769]) ).

fof(f11875,plain,
    ( ~ scratc810023396_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),aTP_Lamm_a)
    | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ce(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
    | ~ spl29_81 ),
    inference(resolution,[],[f11645,f3829]) ).

fof(f11891,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ce(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
    | ~ spl29_10
    | ~ spl29_81 ),
    inference(forward_subsumption_resolution,[],[f11875,f5658]) ).

fof(f11893,definition,
    ( spl29_83
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ce(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
    introduced(definition,[new_symbols(definition,[spl29_83])],[avatar_definition]) ).

fof(f11895,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ce(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
    | spl29_83 ),
    inference(avatar_component_clause,[],[f11893]) ).

fof(f11896,plain,
    ( ~ spl29_83
    | ~ spl29_10
    | ~ spl29_81 ),
    inference(avatar_split_clause,[],[f11891,f11644,f5656,f11893]) ).

fof(f11907,plain,
    ( ! [X0] :
        ( ~ scratc810023396_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),X0)
        | ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_ce(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))) )
    | spl29_83 ),
    inference(resolution,[],[f11895,f2425]) ).

fof(f11941,plain,
    ( ! [X0] :
        ( ~ scratc810023396_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),X0)
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_ce(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))) )
    | ~ spl29_69
    | spl29_83 ),
    inference(forward_subsumption_resolution,[],[f11907,f10851]) ).

fof(f11943,definition,
    ( spl29_84
  <=> ! [X0] :
        ( ~ scratc810023396_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),X0)
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_ce(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))) ) ),
    introduced(definition,[new_symbols(definition,[spl29_84])],[avatar_definition]) ).

fof(f11944,plain,
    ( ! [X0] :
        ( ~ scratc810023396_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),X0)
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_ce(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))) )
    | ~ spl29_84 ),
    inference(avatar_component_clause,[],[f11943]) ).

fof(f11945,plain,
    ( spl29_84
    | ~ spl29_69
    | spl29_83 ),
    inference(avatar_split_clause,[],[f11941,f11893,f10849,f11943]) ).

fof(f12040,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ce(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad))))
    | ~ spl29_18
    | ~ spl29_84 ),
    inference(resolution,[],[f11944,f8077]) ).

fof(f12043,definition,
    ( spl29_86
  <=> pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ce(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))) ),
    introduced(definition,[new_symbols(definition,[spl29_86])],[avatar_definition]) ).

fof(f12045,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ce(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad))))
    | spl29_86 ),
    inference(avatar_component_clause,[],[f12043]) ).

fof(f12046,plain,
    ( ~ spl29_86
    | ~ spl29_18
    | ~ spl29_84 ),
    inference(avatar_split_clause,[],[f12040,f11943,f8075,f12043]) ).

fof(f12607,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
    | spl29_86 ),
    inference(resolution,[],[f12045,f3496]) ).

fof(f12846,plain,
    ( ~ scratc810023396_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),aTP_Lamm_a)
    | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dn,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
    | ~ spl29_72 ),
    inference(resolution,[],[f10951,f3476]) ).

fof(f12862,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dn,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
    | ~ spl29_2
    | ~ spl29_72 ),
    inference(forward_subsumption_resolution,[],[f12846,f4436]) ).

fof(f12864,definition,
    ( spl29_104
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dn,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
    introduced(definition,[new_symbols(definition,[spl29_104])],[avatar_definition]) ).

fof(f12866,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dn,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
    | spl29_104 ),
    inference(avatar_component_clause,[],[f12864]) ).

fof(f12867,plain,
    ( ~ spl29_104
    | ~ spl29_2
    | ~ spl29_72 ),
    inference(avatar_split_clause,[],[f12862,f10950,f4434,f12864]) ).

fof(f13313,definition,
    ( spl29_110
  <=> ! [X0] :
        ( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),X0)) ) ),
    introduced(definition,[new_symbols(definition,[spl29_110])],[avatar_definition]) ).

fof(f13314,plain,
    ( ! [X0] :
        ( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
        | ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),X0)) )
    | ~ spl29_110 ),
    inference(avatar_component_clause,[],[f13313]) ).

fof(f13315,plain,
    ( spl29_110
    | spl29_17
    | ~ spl29_18 ),
    inference(avatar_split_clause,[],[f8081,f8075,f8055,f13313]) ).

fof(f23804,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dn,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
    | spl29_104
    | ~ spl29_110 ),
    inference(resolution,[],[f13314,f12866]) ).

fof(f23818,plain,
    ( $false
    | ~ spl29_13
    | spl29_104
    | ~ spl29_110 ),
    inference(forward_subsumption_resolution,[],[f23804,f7921]) ).

fof(f23819,plain,
    ( ~ spl29_13
    | spl29_104
    | ~ spl29_110 ),
    inference(avatar_contradiction_clause,[],[f23818]) ).

fof(f24150,definition,
    ( spl29_180
  <=> pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))) ),
    introduced(definition,[new_symbols(definition,[spl29_180])],[avatar_definition]) ).

fof(f24152,plain,
    ( pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
    | ~ spl29_180 ),
    inference(avatar_component_clause,[],[f24150]) ).

fof(f24153,plain,
    ( spl29_180
    | ~ spl29_11 ),
    inference(avatar_split_clause,[],[f6666,f5667,f24150]) ).

fof(f25662,definition,
    ( spl29_356
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad))) ),
    introduced(definition,[new_symbols(definition,[spl29_356])],[avatar_definition]) ).

fof(f25664,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
    | spl29_356 ),
    inference(avatar_component_clause,[],[f25662]) ).

fof(f25665,plain,
    ( ~ spl29_356
    | spl29_86 ),
    inference(avatar_split_clause,[],[f12607,f12043,f25662]) ).

fof(f25741,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc2050310133all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
    | ~ spl29_4
    | spl29_356 ),
    inference(resolution,[],[f25664,f4448]) ).

fof(f25743,plain,
    ( $false
    | ~ spl29_4
    | ~ spl29_180
    | spl29_356 ),
    inference(forward_subsumption_resolution,[],[f25741,f24152]) ).

fof(f25744,plain,
    ( ~ spl29_4
    | ~ spl29_180
    | spl29_356 ),
    inference(avatar_contradiction_clause,[],[f25743]) ).

cnf(s1,plain,
    ~ spl29_1,
    inference(sat_conversion,[],[f4418]) ).

cnf(s2,plain,
    ( spl29_1
    | spl29_2 ),
    inference(sat_conversion,[],[f4437]) ).

cnf(s3,plain,
    ( spl29_1
    | spl29_3 ),
    inference(sat_conversion,[],[f4442]) ).

cnf(s4,plain,
    ( ~ spl29_2
    | ~ spl29_3
    | spl29_4 ),
    inference(sat_conversion,[],[f4449]) ).

cnf(s5,plain,
    ( spl29_1
    | ~ spl29_5 ),
    inference(sat_conversion,[],[f5521]) ).

cnf(s6,plain,
    ( spl29_5
    | ~ spl29_6 ),
    inference(sat_conversion,[],[f5564]) ).

cnf(s7,plain,
    ( spl29_6
    | spl29_7 ),
    inference(sat_conversion,[],[f5584]) ).

cnf(s8,plain,
    ( spl29_6
    | ~ spl29_8 ),
    inference(sat_conversion,[],[f5589]) ).

cnf(s9,plain,
    ( spl29_8
    | ~ spl29_9 ),
    inference(sat_conversion,[],[f5639]) ).

cnf(s10,plain,
    ( spl29_9
    | spl29_10 ),
    inference(sat_conversion,[],[f5659]) ).

cnf(s11,plain,
    ( spl29_6
    | ~ spl29_7
    | spl29_11 ),
    inference(sat_conversion,[],[f5669]) ).

cnf(s13,plain,
    ( spl29_9
    | ~ spl29_10
    | spl29_13 ),
    inference(sat_conversion,[],[f6746]) ).

cnf(s15,plain,
    ( spl29_9
    | spl29_15 ),
    inference(sat_conversion,[],[f6935]) ).

cnf(s16,plain,
    ( spl29_9
    | ~ spl29_16 ),
    inference(sat_conversion,[],[f8007]) ).

cnf(s17,plain,
    ( spl29_16
    | ~ spl29_17 ),
    inference(sat_conversion,[],[f8058]) ).

cnf(s18,plain,
    ( spl29_17
    | spl29_18 ),
    inference(sat_conversion,[],[f8078]) ).

cnf(s20,plain,
    ( spl29_17
    | ~ spl29_20 ),
    inference(sat_conversion,[],[f8093]) ).

cnf(s21,plain,
    ( spl29_20
    | ~ spl29_21 ),
    inference(sat_conversion,[],[f8145]) ).

cnf(s22,plain,
    ( spl29_20
    | spl29_21
    | ~ spl29_22
    | ~ spl29_23 ),
    inference(sat_conversion,[],[f8227]) ).

cnf(s25,plain,
    ( spl29_20
    | spl29_21
    | ~ spl29_28
    | ~ spl29_29 ),
    inference(sat_conversion,[],[f8303]) ).

cnf(s36,plain,
    ( spl29_21
    | ~ spl29_41 ),
    inference(sat_conversion,[],[f8994]) ).

cnf(s37,plain,
    ( spl29_41
    | ~ spl29_42 ),
    inference(sat_conversion,[],[f9081]) ).

cnf(s40,plain,
    ( ~ spl29_11
    | spl29_28
    | ~ spl29_45 ),
    inference(sat_conversion,[],[f9251]) ).

cnf(s62,plain,
    ( spl29_42
    | ~ spl29_61 ),
    inference(sat_conversion,[],[f10460]) ).

cnf(s63,plain,
    ( spl29_61
    | ~ spl29_62 ),
    inference(sat_conversion,[],[f10551]) ).

cnf(s64,plain,
    ( spl29_20
    | spl29_63 ),
    inference(sat_conversion,[],[f10628]) ).

cnf(s65,plain,
    ( ~ spl29_63
    | spl29_64 ),
    inference(sat_conversion,[],[f10676]) ).

cnf(s69,plain,
    ( spl29_17
    | spl29_69 ),
    inference(sat_conversion,[],[f10852]) ).

cnf(s72,plain,
    ( ~ spl29_3
    | spl29_44
    | spl29_72 ),
    inference(sat_conversion,[],[f10952]) ).

cnf(s73,plain,
    ( spl29_29
    | ~ spl29_64
    | ~ spl29_73 ),
    inference(sat_conversion,[],[f11025]) ).

cnf(s74,plain,
    ( spl29_23
    | spl29_73 ),
    inference(sat_conversion,[],[f11078]) ).

cnf(s76,plain,
    ( spl29_22
    | spl29_67 ),
    inference(sat_conversion,[],[f11085]) ).

cnf(s77,plain,
    ( ~ spl29_67
    | spl29_68 ),
    inference(sat_conversion,[],[f11087]) ).

cnf(s80,plain,
    ( ~ spl29_44
    | spl29_45 ),
    inference(sat_conversion,[],[f11270]) ).

cnf(s83,plain,
    ( spl29_34
    | ~ spl29_68 ),
    inference(sat_conversion,[],[f11413]) ).

cnf(s90,plain,
    ( ~ spl29_34
    | spl29_62
    | ~ spl29_79
    | ~ spl29_80 ),
    inference(sat_conversion,[],[f11532]) ).

cnf(s91,plain,
    ( ~ spl29_15
    | spl29_79
    | spl29_81 ),
    inference(sat_conversion,[],[f11646]) ).

cnf(s92,plain,
    ( spl29_20
    | spl29_80
    | ~ spl29_82 ),
    inference(sat_conversion,[],[f11721]) ).

cnf(s93,plain,
    ( ~ spl29_4
    | ~ spl29_11
    | spl29_82 ),
    inference(sat_conversion,[],[f11770]) ).

cnf(s95,plain,
    ( ~ spl29_10
    | ~ spl29_81
    | ~ spl29_83 ),
    inference(sat_conversion,[],[f11896]) ).

cnf(s96,plain,
    ( ~ spl29_69
    | spl29_83
    | spl29_84 ),
    inference(sat_conversion,[],[f11945]) ).

cnf(s101,plain,
    ( ~ spl29_18
    | ~ spl29_84
    | ~ spl29_86 ),
    inference(sat_conversion,[],[f12046]) ).

cnf(s121,plain,
    ( ~ spl29_2
    | ~ spl29_72
    | ~ spl29_104 ),
    inference(sat_conversion,[],[f12867]) ).

cnf(s127,plain,
    ( spl29_17
    | ~ spl29_18
    | spl29_110 ),
    inference(sat_conversion,[],[f13315]) ).

cnf(s1791,plain,
    ( ~ spl29_13
    | spl29_104
    | ~ spl29_110 ),
    inference(sat_conversion,[],[f23819]) ).

cnf(s1820,plain,
    ( ~ spl29_11
    | spl29_180 ),
    inference(sat_conversion,[],[f24153]) ).

cnf(s1995,plain,
    ( spl29_86
    | ~ spl29_356 ),
    inference(sat_conversion,[],[f25665]) ).

cnf(s2003,plain,
    ( ~ spl29_4
    | ~ spl29_180
    | spl29_356 ),
    inference(sat_conversion,[],[f25744]) ).

cnf(s2004,plain,
    ~ spl29_5,
    inference(rat,[],[s5,s1]) ).

cnf(s2005,plain,
    spl29_3,
    inference(rat,[],[s3,s1]) ).

cnf(s2006,plain,
    spl29_2,
    inference(rat,[],[s2,s1]) ).

cnf(s2009,plain,
    ~ spl29_6,
    inference(rat,[],[s6,s2004]) ).

cnf(s2014,plain,
    spl29_4,
    inference(rat,[],[s4,s2005,s2006]) ).

cnf(s2016,plain,
    ~ spl29_8,
    inference(rat,[],[s8,s2009]) ).

cnf(s2017,plain,
    spl29_7,
    inference(rat,[],[s7,s2009]) ).

cnf(s2076,plain,
    ~ spl29_9,
    inference(rat,[],[s9,s2016]) ).

cnf(s2077,plain,
    spl29_11,
    inference(rat,[],[s11,s2009,s2017]) ).

cnf(s2078,plain,
    ~ spl29_16,
    inference(rat,[],[s16,s2076]) ).

cnf(s2079,plain,
    spl29_15,
    inference(rat,[],[s15,s2076]) ).

cnf(s2080,plain,
    spl29_10,
    inference(rat,[],[s10,s2076]) ).

cnf(s2128,plain,
    spl29_180,
    inference(rat,[],[s1820,s2077]) ).

cnf(s2140,plain,
    spl29_82,
    inference(rat,[],[s93,s2014,s2077]) ).

cnf(s2145,plain,
    ~ spl29_17,
    inference(rat,[],[s17,s2078]) ).

cnf(s2148,plain,
    spl29_13,
    inference(rat,[],[s13,s2076,s2080]) ).

cnf(s2149,plain,
    spl29_356,
    inference(rat,[],[s2003,s2014,s2128]) ).

cnf(s2150,plain,
    spl29_69,
    inference(rat,[],[s69,s2145]) ).

cnf(s2151,plain,
    ~ spl29_20,
    inference(rat,[],[s20,s2145]) ).

cnf(s2152,plain,
    spl29_18,
    inference(rat,[],[s18,s2145]) ).

cnf(s2209,plain,
    spl29_86,
    inference(rat,[],[s1995,s2149]) ).

cnf(s2213,plain,
    spl29_80,
    inference(rat,[],[s92,s2140,s2151]) ).

cnf(s2215,plain,
    spl29_63,
    inference(rat,[],[s64,s2151]) ).

cnf(s2216,plain,
    ~ spl29_21,
    inference(rat,[],[s21,s2151]) ).

cnf(s2217,plain,
    spl29_110,
    inference(rat,[],[s127,s2145,s2152]) ).

cnf(s2218,plain,
    ~ spl29_84,
    inference(rat,[],[s101,s2209,s2152]) ).

cnf(s2227,plain,
    spl29_64,
    inference(rat,[],[s65,s2215]) ).

cnf(s2231,plain,
    ~ spl29_41,
    inference(rat,[],[s36,s2216]) ).

cnf(s2233,plain,
    spl29_104,
    inference(rat,[],[s1791,s2148,s2217]) ).

cnf(s2234,plain,
    spl29_83,
    inference(rat,[],[s96,s2150,s2218]) ).

cnf(s2236,plain,
    ~ spl29_42,
    inference(rat,[],[s37,s2231]) ).

cnf(s2238,plain,
    ~ spl29_72,
    inference(rat,[],[s121,s2006,s2233]) ).

cnf(s2239,plain,
    ~ spl29_81,
    inference(rat,[],[s95,s2080,s2234]) ).

cnf(s2241,plain,
    ~ spl29_61,
    inference(rat,[],[s62,s2236]) ).

cnf(s2242,plain,
    spl29_44,
    inference(rat,[],[s72,s2005,s2238]) ).

cnf(s2243,plain,
    spl29_79,
    inference(rat,[],[s91,s2079,s2239]) ).

cnf(s2246,plain,
    ~ spl29_62,
    inference(rat,[],[s63,s2241]) ).

cnf(s2247,plain,
    spl29_45,
    inference(rat,[],[s80,s2242]) ).

cnf(s2252,plain,
    ~ spl29_34,
    inference(rat,[],[s90,s2213,s2243,s2246]) ).

cnf(s2253,plain,
    spl29_28,
    inference(rat,[],[s40,s2077,s2247]) ).

cnf(s2255,plain,
    ~ spl29_68,
    inference(rat,[],[s83,s2252]) ).

cnf(s2256,plain,
    ~ spl29_29,
    inference(rat,[],[s25,s2216,s2151,s2253]) ).

cnf(s2258,plain,
    ~ spl29_67,
    inference(rat,[],[s77,s2255]) ).

cnf(s2264,plain,
    ~ spl29_73,
    inference(rat,[],[s73,s2227,s2256]) ).

cnf(s2266,plain,
    spl29_22,
    inference(rat,[],[s76,s2258]) ).

cnf(s2268,plain,
    spl29_23,
    inference(rat,[],[s74,s2264]) ).

cnf(s2270,plain,
    $false,
    inference(rat,[],[s22,s2216,s2151,s2268,s2266]) ).

fof(f25745,plain,
    $false,
    inference(avatar_sat_refutation,[],[s2270]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : NUM762+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.43  % Computer : n014.cluster.edu
% 0.18/0.43  % Model    : x86_64 x86_64
% 0.18/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43  % Memory   : 8046.5625MB
% 0.18/0.43  % OS       : Linux 6.8.0-71-generic
% 0.18/0.43  % CPULimit : 300
% 0.18/0.43  % WCLimit  : 300
% 0.18/0.43  % DateTime : Sun Sep 27 21:19:16 UTC 2026
% 0.18/0.44  % CPUTime  : 
% 0.18/0.44  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.35/3.89  % (1179159)Detected formulas, will run a generic FOF schedule.
% 19.35/3.89  % (1179169)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1966754086:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 19.35/3.89  % (1179164)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2723539159:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 19.35/3.89  % (1179168)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3154700896:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 19.35/3.89  % (1179166)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3470961300:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 19.35/3.89  % (1179167)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4278054532:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 19.35/3.89  % (1179165)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=842523065:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 19.35/3.89  % (1179170)dis-21_1_sil=8000:lcm=predicate:random_seed=107511230:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 19.35/3.89  % (1179169)Instruction limit reached! 
% 19.35/3.89  % (1179169)------------------------------
% 19.35/3.89  % (1179169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.35/3.89  % (1179169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.35/3.89  % (1179169)CaDiCaL version: 2.1.3
% 19.35/3.89  % (1179169)Termination reason: Instruction limit
% 19.35/3.89  % (1179169)Termination phase: Saturation
% 19.35/3.89  % (1179169)Time elapsed: 0.065 s
% 19.35/3.89  % (1179169)Peak memory usage: 91 MB
% 19.35/3.89  % (1179169)Instructions burned: 141 (million)
% 19.35/3.89  % (1179167)Refutation not found, incomplete strategy
% 19.35/3.89  % (1179167)------------------------------
% 19.35/3.89  % (1179167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.35/3.89  % (1179167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.35/3.89  % (1179167)CaDiCaL version: 2.1.3
% 19.35/3.89  % (1179167)Termination reason: Refutation not found, incomplete strategy
% 19.35/3.89  % (1179167)Time elapsed: 0.006 s
% 19.35/3.89  % (1179167)Peak memory usage: 88 MB
% 19.35/3.89  % (1179167)Instructions burned: 5 (million)
% 19.35/3.89  % (1179168)Refutation not found, incomplete strategy
% 19.35/3.89  % (1179168)------------------------------
% 19.35/3.89  % (1179168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.35/3.89  % (1179168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.35/3.89  % (1179168)CaDiCaL version: 2.1.3
% 19.35/3.89  % (1179168)Termination reason: Refutation not found, incomplete strategy
% 19.35/3.89  % (1179168)Time elapsed: 0.007 s
% 19.35/3.89  % (1179168)Peak memory usage: 88 MB
% 19.35/3.89  % (1179168)Instructions burned: 5 (million)
% 19.35/3.89  % (1179170)Instruction limit reached! 
% 19.35/3.89  % (1179170)------------------------------
% 19.35/3.89  % (1179170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.35/3.89  % (1179170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.35/3.89  % (1179170)CaDiCaL version: 2.1.3
% 19.35/3.89  % (1179170)Termination reason: Instruction limit
% 19.35/3.89  % (1179170)Termination phase: Saturation
% 19.35/3.89  % (1179170)Time elapsed: 0.107 s
% 19.35/3.89  % (1179170)Peak memory usage: 90 MB
% 19.35/3.89  % (1179170)Instructions burned: 129 (million)
% 19.35/3.89  % (1179178)lrs+10_1_sil=8000:sp=occurrence:random_seed=829106857:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 19.35/3.89  % (1179178)Refutation not found, incomplete strategy
% 19.35/3.89  % (1179178)------------------------------
% 19.35/3.89  % (1179178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.35/3.89  % (1179178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.35/3.89  % (1179178)CaDiCaL version: 2.1.3
% 19.35/3.89  % (1179178)Termination reason: Refutation not found, incomplete strategy
% 19.35/3.89  % (1179178)Time elapsed: 0.003 s
% 19.35/3.89  % (1179178)Peak memory usage: 89 MB
% 19.35/3.89  % (1179178)Instructions burned: 4 (million)
% 19.35/3.89  % (1179168)------------------------------
% 32.52/5.80  % (1179168)------------------------------
% 32.52/5.80  % (1179179)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2860505075:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 32.52/5.80  % (1179179)Refutation not found, incomplete strategy
% 32.52/5.80  % (1179179)------------------------------
% 32.52/5.80  % (1179179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.52/5.80  % (1179179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.52/5.80  % (1179179)CaDiCaL version: 2.1.3
% 32.52/5.80  % (1179179)Termination reason: Refutation not found, incomplete strategy
% 32.52/5.80  % (1179179)Time elapsed: 0.015 s
% 32.52/5.80  % (1179179)Peak memory usage: 89 MB
% 32.52/5.80  % (1179179)Instructions burned: 17 (million)
% 32.52/5.80  % (1179167)------------------------------
% 32.52/5.80  % (1179167)------------------------------
% 32.52/5.80  % (1179178)------------------------------
% 32.52/5.80  % (1179178)------------------------------
% 32.52/5.80  % (1179181)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2805860919:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 32.52/5.80  % (1179181)Refutation not found, incomplete strategy
% 32.52/5.80  % (1179181)------------------------------
% 32.52/5.80  % (1179181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.52/5.80  % (1179181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.52/5.80  % (1179181)CaDiCaL version: 2.1.3
% 32.52/5.80  % (1179181)Termination reason: Refutation not found, incomplete strategy
% 32.52/5.80  % (1179181)Time elapsed: 0.010 s
% 32.52/5.80  % (1179181)Peak memory usage: 90 MB
% 32.52/5.80  % (1179181)Instructions burned: 7 (million)
% 32.52/5.80  % (1179183)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3085234966:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 32.52/5.80  % (1179184)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3511722939:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 32.52/5.80  % (1179184)Refutation not found, incomplete strategy
% 32.52/5.80  % (1179184)------------------------------
% 32.52/5.80  % (1179184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.52/5.80  % (1179184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.52/5.80  % (1179184)CaDiCaL version: 2.1.3
% 32.52/5.80  % (1179184)Termination reason: Refutation not found, incomplete strategy
% 32.52/5.80  % (1179184)Time elapsed: 0.006 s
% 32.52/5.80  % (1179184)Peak memory usage: 89 MB
% 32.52/5.80  % (1179184)Instructions burned: 10 (million)
% 32.52/5.80  % (1179179)------------------------------
% 32.52/5.80  % (1179179)------------------------------
% 32.52/5.80  % (1179183)Instruction limit reached! 
% 32.52/5.80  % (1179183)------------------------------
% 32.52/5.80  % (1179183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.52/5.80  % (1179183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.52/5.80  % (1179183)CaDiCaL version: 2.1.3
% 32.52/5.80  % (1179183)Termination reason: Instruction limit
% 32.52/5.80  % (1179183)Termination phase: Saturation
% 32.52/5.80  % (1179183)Time elapsed: 0.206 s
% 32.52/5.80  % (1179183)Peak memory usage: 97 MB
% 32.52/5.80  % (1179183)Instructions burned: 248 (million)
% 32.52/5.80  % (1179184)------------------------------
% 32.52/5.80  % (1179184)------------------------------
% 32.52/5.80  % (1179181)------------------------------
% 32.52/5.80  % (1179181)------------------------------
% 32.52/5.80  % (1179188)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2599752772:i=2350_2989 on theBenchmark for (2989ds/2350Mi)
% 32.52/5.80  % (1179189)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3965872466:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 32.52/5.80  % (1179190)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3952645103:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 32.52/5.80  % (1179189)Instruction limit reached! 
% 32.52/5.80  % (1179189)------------------------------
% 32.52/5.80  % (1179189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.52/5.80  % (1179189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.52/5.80  % (1179189)CaDiCaL version: 2.1.3
% 32.52/5.80  % (1179189)Termination reason: Instruction limit
% 32.52/5.80  % (1179189)Termination phase: Saturation
% 32.52/5.80  % (1179189)Time elapsed: 0.097 s
% 35.47/6.12  % (1179189)Peak memory usage: 90 MB
% 35.47/6.12  % (1179189)Instructions burned: 113 (million)
% 35.47/6.12  % (1179190)Instruction limit reached! 
% 35.47/6.12  % (1179190)------------------------------
% 35.47/6.12  % (1179190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.47/6.12  % (1179190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.47/6.12  % (1179190)CaDiCaL version: 2.1.3
% 35.47/6.12  % (1179190)Termination reason: Instruction limit
% 35.47/6.12  % (1179190)Termination phase: Saturation
% 35.47/6.12  % (1179190)Time elapsed: 0.070 s
% 35.47/6.12  % (1179190)Peak memory usage: 90 MB
% 35.47/6.12  % (1179190)Instructions burned: 127 (million)
% 35.47/6.12  % (1179191)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3667018743:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 35.47/6.12  % (1179191)Instruction limit reached! 
% 35.47/6.12  % (1179191)------------------------------
% 35.47/6.12  % (1179191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.47/6.12  % (1179191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.47/6.12  % (1179191)CaDiCaL version: 2.1.3
% 35.47/6.12  % (1179191)Termination reason: Instruction limit
% 35.47/6.12  % (1179191)Termination phase: Saturation
% 35.47/6.12  % (1179191)Time elapsed: 0.103 s
% 35.47/6.12  % (1179191)Peak memory usage: 90 MB
% 35.47/6.12  % (1179191)Instructions burned: 114 (million)
% 35.47/6.12  % (1179195)lrs+10_1_sil=8000:sp=occurrence:random_seed=2349371877:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 35.47/6.12  % (1179196)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2357637635:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 35.47/6.12  % (1179196)Refutation not found, incomplete strategy
% 35.47/6.12  % (1179196)------------------------------
% 35.47/6.12  % (1179196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.47/6.12  % (1179196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.47/6.12  % (1179196)CaDiCaL version: 2.1.3
% 35.47/6.12  % (1179196)Termination reason: Refutation not found, incomplete strategy
% 35.47/6.12  % (1179196)Time elapsed: 0.134 s
% 35.47/6.12  % (1179196)Peak memory usage: 92 MB
% 35.47/6.12  % (1179196)Instructions burned: 153 (million)
% 35.47/6.12  % (1179198)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2348127874:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 35.47/6.12  % (1179196)------------------------------
% 35.47/6.12  % (1179196)------------------------------
% 35.47/6.12  % (1179202)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4208993505:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2977 on theBenchmark for (2977ds/134Mi)
% 35.47/6.12  % (1179195)Instruction limit reached! 
% 35.47/6.12  % (1179195)------------------------------
% 35.47/6.12  % (1179195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.47/6.12  % (1179195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.47/6.12  % (1179195)CaDiCaL version: 2.1.3
% 35.47/6.12  % (1179195)Termination reason: Instruction limit
% 35.47/6.12  % (1179195)Termination phase: Saturation
% 35.47/6.12  % (1179195)Time elapsed: 0.855 s
% 35.47/6.12  % (1179195)Peak memory usage: 101 MB
% 35.47/6.12  % (1179195)Instructions burned: 908 (million)
% 35.47/6.12  % (1179202)Instruction limit reached! 
% 35.47/6.12  % (1179202)------------------------------
% 35.47/6.12  % (1179202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.47/6.12  % (1179202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.47/6.12  % (1179202)CaDiCaL version: 2.1.3
% 35.47/6.12  % (1179202)Termination reason: Instruction limit
% 35.47/6.12  % (1179202)Termination phase: Saturation
% 35.47/6.12  % (1179202)Time elapsed: 0.088 s
% 35.47/6.12  % (1179202)Peak memory usage: 92 MB
% 35.47/6.12  % (1179202)Instructions burned: 134 (million)
% 35.47/6.12  % (1179204)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1551783797:st=8:i=592:sd=3:ep=RST:ss=axioms_2974 on theBenchmark for (2974ds/592Mi)
% 35.47/6.12  % (1179204)Refutation not found, incomplete strategy
% 35.47/6.12  % (1179204)------------------------------
% 35.47/6.12  % (1179204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.47/6.12  % (1179204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.47/6.12  % (1179204)CaDiCaL version: 2.1.3
% 35.47/6.12  % (1179204)Termination reason: Refutation not found, incomplete strategy
% 35.47/6.12  % (1179204)Time elapsed: 0.030 s
% 35.47/6.12  % (1179204)Peak memory usage: 90 MB
% 35.47/6.12  % (1179204)Instructions burned: 32 (million)
% 35.47/6.12  % (1179205)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1441720713:st=3:i=13193:sd=3:ss=axioms_2974 on theBenchmark for (2974ds/13193Mi)
% 35.47/6.12  % (1179204)------------------------------
% 35.47/6.12  % (1179204)------------------------------
% 35.47/6.12  % (1179208)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1237537143:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2967 on theBenchmark for (2967ds/125Mi)
% 35.47/6.12  % (1179208)Refutation not found, incomplete strategy
% 35.47/6.12  % (1179208)------------------------------
% 35.47/6.12  % (1179208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.47/6.12  % (1179208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.47/6.12  % (1179208)CaDiCaL version: 2.1.3
% 35.47/6.12  % (1179208)Termination reason: Refutation not found, incomplete strategy
% 35.47/6.12  % (1179208)Time elapsed: 0.020 s
% 35.47/6.12  % (1179208)Peak memory usage: 89 MB
% 35.47/6.12  % (1179208)Instructions burned: 21 (million)
% 35.47/6.12  % (1179188)Instruction limit reached! 
% 35.47/6.12  % (1179188)------------------------------
% 35.47/6.12  % (1179188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.47/6.12  % (1179188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.47/6.12  % (1179188)CaDiCaL version: 2.1.3
% 35.47/6.12  % (1179188)Termination reason: Instruction limit
% 35.47/6.12  % (1179188)Termination phase: Saturation
% 35.47/6.12  % (1179188)Time elapsed: 2.356 s
% 35.47/6.12  % (1179188)Peak memory usage: 157 MB
% 35.47/6.12  % (1179188)Instructions burned: 2350 (million)
% 35.47/6.12  % (1179208)------------------------------
% 35.47/6.12  % (1179208)------------------------------
% 35.47/6.12  % (1179210)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2952223251:i=134:gtgl=5:slsql=off:gtg=exists_sym_2963 on theBenchmark for (2963ds/134Mi)
% 35.47/6.12  % (1179210)Instruction limit reached! 
% 35.47/6.12  % (1179210)------------------------------
% 35.47/6.12  % (1179210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.47/6.12  % (1179210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.47/6.12  % (1179210)CaDiCaL version: 2.1.3
% 35.47/6.12  % (1179210)Termination reason: Instruction limit
% 35.47/6.12  % (1179210)Termination phase: Property scanning
% 35.47/6.12  % (1179210)Time elapsed: 0.113 s
% 35.47/6.12  % (1179210)Peak memory usage: 91 MB
% 35.47/6.12  % (1179210)Instructions burned: 135 (million)
% 35.47/6.12  % (1179211)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3893477356:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2960 on theBenchmark for (2960ds/141Mi)
% 35.47/6.12  % (1179211)Refutation not found, incomplete strategy
% 35.47/6.12  % (1179211)------------------------------
% 35.47/6.12  % (1179211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.47/6.12  % (1179211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.47/6.12  % (1179211)CaDiCaL version: 2.1.3
% 35.47/6.12  % (1179211)Termination reason: Refutation not found, incomplete strategy
% 35.47/6.12  % (1179211)Time elapsed: 0.006 s
% 35.47/6.12  % (1179211)Peak memory usage: 89 MB
% 35.47/6.12  % (1179211)Instructions burned: 5 (million)
% 35.47/6.12  % (1179213)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=739995384:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2959 on theBenchmark for (2959ds/431Mi)
% 35.47/6.12  % (1179213)Refutation not found, incomplete strategy
% 35.47/6.12  % (1179213)------------------------------
% 35.47/6.12  % (1179213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.47/6.12  % (1179213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.47/6.12  % (1179213)CaDiCaL version: 2.1.3
% 35.47/6.12  % (1179213)Termination reason: Refutation not found, incomplete strategy
% 35.47/6.12  % (1179213)Time elapsed: 0.006 s
% 35.47/6.12  % (1179213)Peak memory usage: 89 MB
% 35.47/6.12  % (1179213)Instructions burned: 4 (million)
% 35.47/6.12  % (1179211)------------------------------
% 35.47/6.12  % (1179211)------------------------------
% 35.47/6.12  % (1179166)First to succeed.
% 35.47/6.12  % (1179166)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1179159"
% 35.47/6.12  % (1179213)------------------------------
% 35.47/6.12  % (1179213)------------------------------
% 35.47/6.12  % (1179218)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=476693264:i=6060:aac=none:ins=25_2954 on theBenchmark for (2954ds/6060Mi)
% 35.47/6.12  % (1179219)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2175126271:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2952 on theBenchmark for (2952ds/150Mi)
% 35.47/6.12  % (1179166)Refutation found. Thanks to Tanya!
% 35.47/6.12  % SZS status Theorem for theBenchmark
% 35.47/6.12  % SZS output start Proof for theBenchmark
% See solution above
% 36.19/6.39  % (1179166)------------------------------
% 36.19/6.39  % (1179166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.19/6.39  % (1179166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.19/6.39  % (1179166)CaDiCaL version: 2.1.3
% 36.19/6.39  % (1179166)Termination reason: Refutation
% 36.19/6.39  % (1179166)Time elapsed: 4.438 s
% 36.19/6.39  % (1179166)Peak memory usage: 188 MB
% 36.19/6.39  % (1179166)Instructions burned: 7623 (million)
% 36.19/6.39  % (1179166)------------------------------
% 36.19/6.39  % (1179166)------------------------------
% 36.19/6.39  % (1179159)Success in time 5.048 s
% 36.19/6.39  % Vampire exiting
%------------------------------------------------------------------------------