Vampire---5.0.1.THM-Ref.s

%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : NUM742+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 : n016.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 12:16:46 PM UTC 2026

% Result   : Theorem 110.73s 19.13s
% Output   : Refutation 129.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   64
% Syntax   : Number of formulae    :  348 (  59 unt;  39 def)
%            Number of atoms       :  930 (   5 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives : 1040 ( 458   ~; 464   |;  44   &)
%                                         (  64 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :   44 (  42 usr;  40 prp; 0-2 aty)
%            Number of functors    :   30 (  30 usr;  16 con; 0-2 aty)
%            Number of variables   :  230 (   0 sgn 228   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f31,axiom,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1812238306lesseq,X0),X1))
    <=> pp(aa_bool_bool(scratc1109747922d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__lesseq) ).

fof(f161,axiom,
    ! [X0] : scratc1109747922d_l_or(X0) = aa_boo1142376798l_bool(scratc1450277263nd_imp,scratc2116202988_d_not(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__l__or) ).

fof(f166,axiom,
    ! [X0] :
      ( pp(scratc2116202988_d_not(X0))
    <=> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1450277263nd_imp,X0),fFalse)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__d__not) ).

fof(f167,axiom,
    scratc1450277263nd_imp = fimplies,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__imp) ).

fof(f198,axiom,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc191532219all_of(X0),X1))
    <=> ! [X2] :
          ( gg_TPTP_ind(X2)
         => ( scratc873798558_is_of(X2,X0)
           => pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__all__of) ).

fof(f200,axiom,
    pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aTP_Lamm_ca)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz50) ).

fof(f213,axiom,
    pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aTP_Lamm_dg)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz45) ).

fof(f225,axiom,
    pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aTP_Lamm_ek)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz38) ).

fof(f226,axiom,
    pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aTP_Lamm_el)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz37) ).

fof(f439,axiom,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aTP_Lamm_el,X0))
    <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__21) ).

fof(f553,axiom,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aTP_Lamm_ek,X0))
    <=> pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ej,X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__135) ).

fof(f561,axiom,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aTP_Lamm_dg,X0))
    <=> pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_df,X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__143) ).

fof(f574,axiom,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aTP_Lamm_ca,X0))
    <=> pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bz,X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__156) ).

fof(f575,axiom,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
    <=> pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__157) ).

fof(f621,axiom,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ej,X0),X1))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),X1))
       => pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X1),X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__203) ).

fof(f723,axiom,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_df,X0),X1))
    <=> pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_de(X0),X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__305) ).

fof(f726,axiom,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bz,X0),X1))
    <=> pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by(X0),X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__308) ).

fof(f727,axiom,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
    <=> pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__309) ).

fof(f774,axiom,
    ! [X0,X1,X2] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1812238306lesseq,X0),X1))
       => ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X1),X2))
         => pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X2)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__356) ).

fof(f775,axiom,
    ! [X0,X1,X2] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by(X0),X1),X2))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X1))
       => ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X1),X2))
         => pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X2)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__357) ).

fof(f827,axiom,
    ! [X0,X1,X2] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_de(X0),X1),X2))
    <=> pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dd(X0),X1),X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__409) ).

fof(f859,axiom,
    ! [X0,X1,X2,X3] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dd(X0),X1),X2),X3))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X1))
       => ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),X2))
         => ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X1),X3))
           => pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X2),X3)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__441) ).

fof(f895,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(f897,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(f904,conjecture,
    pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aTP_Lamm_ac)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

fof(f905,negated_conjecture,
    ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aTP_Lamm_ac)),
    inference(negated_conjecture,[status(cth)],[f904]) ).

fof(f906,plain,
    ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aTP_Lamm_ac)),
    inference(flattening,[],[f905]) ).

fof(f923,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc191532219all_of(X0),X1))
    <=> ! [X2] :
          ( pp(aa_TPTP_ind_bool(X1,X2))
          | ~ scratc873798558_is_of(X2,X0)
          | ~ gg_TPTP_ind(X2) ) ),
    inference(ennf_transformation,[],[f198]) ).

fof(f924,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc191532219all_of(X0),X1))
    <=> ! [X2] :
          ( pp(aa_TPTP_ind_bool(X1,X2))
          | ~ scratc873798558_is_of(X2,X0)
          | ~ gg_TPTP_ind(X2) ) ),
    inference(flattening,[],[f923]) ).

fof(f1004,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ej,X0),X1))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X1),X0))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),X1)) ) ),
    inference(ennf_transformation,[],[f621]) ).

fof(f1056,plain,
    ! [X0,X1,X2] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X2))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X1),X2))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1812238306lesseq,X0),X1)) ) ),
    inference(ennf_transformation,[],[f774]) ).

fof(f1057,plain,
    ! [X0,X1,X2] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X2))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X1),X2))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1812238306lesseq,X0),X1)) ) ),
    inference(flattening,[],[f1056]) ).

fof(f1058,plain,
    ! [X0,X1,X2] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by(X0),X1),X2))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X2))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X1),X2))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X1)) ) ),
    inference(ennf_transformation,[],[f775]) ).

fof(f1059,plain,
    ! [X0,X1,X2] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by(X0),X1),X2))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X2))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X1),X2))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X1)) ) ),
    inference(flattening,[],[f1058]) ).

fof(f1112,plain,
    ! [X0,X1,X2,X3] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dd(X0),X1),X2),X3))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X2),X3))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X1),X3))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),X2))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X1)) ) ),
    inference(ennf_transformation,[],[f859]) ).

fof(f1113,plain,
    ! [X0,X1,X2,X3] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dd(X0),X1),X2),X3))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X2),X3))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X1),X3))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),X2))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X1)) ) ),
    inference(flattening,[],[f1112]) ).

fof(f1151,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1812238306lesseq,X0),X1))
        | ~ pp(aa_bool_bool(scratc1109747922d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),X1))) )
      & ( pp(aa_bool_bool(scratc1109747922d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),X1)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1812238306lesseq,X0),X1)) ) ),
    inference(nnf_transformation,[],[f31]) ).

fof(f1209,plain,
    ! [X0] :
      ( ( pp(scratc2116202988_d_not(X0))
        | ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1450277263nd_imp,X0),fFalse)) )
      & ( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1450277263nd_imp,X0),fFalse))
        | ~ pp(scratc2116202988_d_not(X0)) ) ),
    inference(nnf_transformation,[],[f166]) ).

fof(f1232,plain,
    ! [X0,X1] :
      ( ( pp(aa_fun171081125l_bool(scratc191532219all_of(X0),X1))
        | ? [X2] :
            ( ~ pp(aa_TPTP_ind_bool(X1,X2))
            & scratc873798558_is_of(X2,X0)
            & gg_TPTP_ind(X2) ) )
      & ( ! [X2] :
            ( pp(aa_TPTP_ind_bool(X1,X2))
            | ~ scratc873798558_is_of(X2,X0)
            | ~ gg_TPTP_ind(X2) )
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(X0),X1)) ) ),
    inference(nnf_transformation,[],[f924]) ).

fof(f1233,plain,
    ! [X0,X1] :
      ( ( pp(aa_fun171081125l_bool(scratc191532219all_of(X0),X1))
        | ? [X2] :
            ( ~ pp(aa_TPTP_ind_bool(X1,X2))
            & scratc873798558_is_of(X2,X0)
            & gg_TPTP_ind(X2) ) )
      & ( ! [X3] :
            ( pp(aa_TPTP_ind_bool(X1,X3))
            | ~ scratc873798558_is_of(X3,X0)
            | ~ gg_TPTP_ind(X3) )
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(X0),X1)) ) ),
    inference(rectify,[],[f1232]) ).

fof(f1234,plain,
    ! [X0,X1] :
      ( ( pp(aa_fun171081125l_bool(scratc191532219all_of(X0),X1))
        | ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
          & scratc873798558_is_of(sK12(X0,X1),X0)
          & gg_TPTP_ind(sK12(X0,X1)) ) )
      & ( ! [X3] :
            ( pp(aa_TPTP_ind_bool(X1,X3))
            | ~ scratc873798558_is_of(X3,X0)
            | ~ gg_TPTP_ind(X3) )
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(X0),X1)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f1233]) ).

fof(f1274,plain,
    ! [X0] :
      ( ( pp(aa_TPTP_ind_bool(aTP_Lamm_el,X0))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),X0)) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),X0))
        | ~ pp(aa_TPTP_ind_bool(aTP_Lamm_el,X0)) ) ),
    inference(nnf_transformation,[],[f439]) ).

fof(f1388,plain,
    ! [X0] :
      ( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ek,X0))
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ej,X0))) )
      & ( pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ej,X0)))
        | ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ek,X0)) ) ),
    inference(nnf_transformation,[],[f553]) ).

fof(f1396,plain,
    ! [X0] :
      ( ( pp(aa_TPTP_ind_bool(aTP_Lamm_dg,X0))
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_df,X0))) )
      & ( pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_df,X0)))
        | ~ pp(aa_TPTP_ind_bool(aTP_Lamm_dg,X0)) ) ),
    inference(nnf_transformation,[],[f561]) ).

fof(f1409,plain,
    ! [X0] :
      ( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ca,X0))
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bz,X0))) )
      & ( pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bz,X0)))
        | ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ca,X0)) ) ),
    inference(nnf_transformation,[],[f574]) ).

fof(f1410,plain,
    ! [X0] :
      ( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) )
      & ( pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0)))
        | ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0)) ) ),
    inference(nnf_transformation,[],[f575]) ).

fof(f1476,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ej,X0),X1))
        | ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X1),X0))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),X1)) ) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X1),X0))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ej,X0),X1)) ) ),
    inference(nnf_transformation,[],[f1004]) ).

fof(f1477,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ej,X0),X1))
        | ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X1),X0))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),X1)) ) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X1),X0))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ej,X0),X1)) ) ),
    inference(flattening,[],[f1476]) ).

fof(f1593,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_df,X0),X1))
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_de(X0),X1))) )
      & ( pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_de(X0),X1)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_df,X0),X1)) ) ),
    inference(nnf_transformation,[],[f723]) ).

fof(f1596,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bz,X0),X1))
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by(X0),X1))) )
      & ( pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by(X0),X1)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bz,X0),X1)) ) ),
    inference(nnf_transformation,[],[f726]) ).

fof(f1597,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) )
      & ( pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1)) ) ),
    inference(nnf_transformation,[],[f727]) ).

fof(f1670,plain,
    ! [X0,X1,X2] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
        | ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X2))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X1),X2))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1812238306lesseq,X0),X1)) ) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X2))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X1),X2))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1812238306lesseq,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2)) ) ),
    inference(nnf_transformation,[],[f1057]) ).

fof(f1671,plain,
    ! [X0,X1,X2] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
        | ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X2))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X1),X2))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1812238306lesseq,X0),X1)) ) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X2))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X1),X2))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1812238306lesseq,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2)) ) ),
    inference(flattening,[],[f1670]) ).

fof(f1672,plain,
    ! [X0,X1,X2] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by(X0),X1),X2))
        | ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X2))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X1),X2))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X1)) ) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X2))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X1),X2))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by(X0),X1),X2)) ) ),
    inference(nnf_transformation,[],[f1059]) ).

fof(f1673,plain,
    ! [X0,X1,X2] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by(X0),X1),X2))
        | ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X2))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X1),X2))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X1)) ) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X2))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X1),X2))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by(X0),X1),X2)) ) ),
    inference(flattening,[],[f1672]) ).

fof(f1739,plain,
    ! [X0,X1,X2] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_de(X0),X1),X2))
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dd(X0),X1),X2))) )
      & ( pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dd(X0),X1),X2)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_de(X0),X1),X2)) ) ),
    inference(nnf_transformation,[],[f827]) ).

fof(f1788,plain,
    ! [X0,X1,X2,X3] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dd(X0),X1),X2),X3))
        | ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X2),X3))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X1),X3))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),X2))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X1)) ) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X2),X3))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X1),X3))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),X2))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dd(X0),X1),X2),X3)) ) ),
    inference(nnf_transformation,[],[f1113]) ).

fof(f1789,plain,
    ! [X0,X1,X2,X3] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dd(X0),X1),X2),X3))
        | ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X2),X3))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X1),X3))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),X2))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X1)) ) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X2),X3))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X1),X3))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),X2))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dd(X0),X1),X2),X3)) ) ),
    inference(flattening,[],[f1788]) ).

fof(f1859,plain,
    ! [X0,X1] :
      ( pp(aa_bool_bool(scratc1109747922d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),X1)))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1812238306lesseq,X0),X1)) ),
    inference(cnf_transformation,[],[f1151]) ).

fof(f2042,plain,
    ! [X0] : aa_boo1142376798l_bool(scratc1450277263nd_imp,scratc2116202988_d_not(X0)) = scratc1109747922d_l_or(X0),
    inference(cnf_transformation,[],[f161]) ).

fof(f2049,plain,
    ! [X0] :
      ( pp(scratc2116202988_d_not(X0))
      | ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1450277263nd_imp,X0),fFalse)) ),
    inference(cnf_transformation,[],[f1209]) ).

fof(f2050,plain,
    scratc1450277263nd_imp = fimplies,
    inference(cnf_transformation,[],[f167]) ).

fof(f2112,plain,
    ! [X3,X0,X1] :
      ( pp(aa_TPTP_ind_bool(X1,X3))
      | ~ scratc873798558_is_of(X3,X0)
      | ~ gg_TPTP_ind(X3)
      | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(X0),X1)) ),
    inference(cnf_transformation,[],[f1234]) ).

fof(f2113,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc191532219all_of(X0),X1))
      | gg_TPTP_ind(sK12(X0,X1)) ),
    inference(cnf_transformation,[],[f1234]) ).

fof(f2114,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc191532219all_of(X0),X1))
      | scratc873798558_is_of(sK12(X0,X1),X0) ),
    inference(cnf_transformation,[],[f1234]) ).

fof(f2115,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc191532219all_of(X0),X1))
      | ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1))) ),
    inference(cnf_transformation,[],[f1234]) ).

fof(f2118,plain,
    pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aTP_Lamm_ca)),
    inference(cnf_transformation,[],[f200]) ).

fof(f2131,plain,
    pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aTP_Lamm_dg)),
    inference(cnf_transformation,[],[f213]) ).

fof(f2143,plain,
    pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aTP_Lamm_ek)),
    inference(cnf_transformation,[],[f225]) ).

fof(f2144,plain,
    pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aTP_Lamm_el)),
    inference(cnf_transformation,[],[f226]) ).

fof(f2407,plain,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),X0))
      | ~ pp(aa_TPTP_ind_bool(aTP_Lamm_el,X0)) ),
    inference(cnf_transformation,[],[f1274]) ).

fof(f2635,plain,
    ! [X0] :
      ( pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ej,X0)))
      | ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ek,X0)) ),
    inference(cnf_transformation,[],[f1388]) ).

fof(f2651,plain,
    ! [X0] :
      ( pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_df,X0)))
      | ~ pp(aa_TPTP_ind_bool(aTP_Lamm_dg,X0)) ),
    inference(cnf_transformation,[],[f1396]) ).

fof(f2677,plain,
    ! [X0] :
      ( pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bz,X0)))
      | ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ca,X0)) ),
    inference(cnf_transformation,[],[f1409]) ).

fof(f2680,plain,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
      | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) ),
    inference(cnf_transformation,[],[f1410]) ).

fof(f2789,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X1),X0))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),X1))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ej,X0),X1)) ),
    inference(cnf_transformation,[],[f1477]) ).

fof(f3008,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_de(X0),X1)))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_df,X0),X1)) ),
    inference(cnf_transformation,[],[f1593]) ).

fof(f3014,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by(X0),X1)))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bz,X0),X1)) ),
    inference(cnf_transformation,[],[f1596]) ).

fof(f3017,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
      | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) ),
    inference(cnf_transformation,[],[f1597]) ).

fof(f3141,plain,
    ! [X2,X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
      | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1812238306lesseq,X0),X1)) ),
    inference(cnf_transformation,[],[f1671]) ).

fof(f3142,plain,
    ! [X2,X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
      | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X1),X2)) ),
    inference(cnf_transformation,[],[f1671]) ).

fof(f3143,plain,
    ! [X2,X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X2)) ),
    inference(cnf_transformation,[],[f1671]) ).

fof(f3144,plain,
    ! [X2,X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X2))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X1),X2))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X1))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by(X0),X1),X2)) ),
    inference(cnf_transformation,[],[f1673]) ).

fof(f3267,plain,
    ! [X2,X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dd(X0),X1),X2)))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_de(X0),X1),X2)) ),
    inference(cnf_transformation,[],[f1739]) ).

fof(f3369,plain,
    ! [X2,X3,X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X2),X3))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X1),X3))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),X2))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X1))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dd(X0),X1),X2),X3)) ),
    inference(cnf_transformation,[],[f1789]) ).

fof(f3463,plain,
    ! [X0,X1] :
      ( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
      | ~ pp(X0)
      | pp(X1) ),
    inference(cnf_transformation,[],[f895]) ).

fof(f3465,plain,
    ! [X0,X1] :
      ( pp(X0)
      | pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
    inference(cnf_transformation,[],[f897]) ).

fof(f3472,plain,
    ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aTP_Lamm_ac)),
    inference(cnf_transformation,[],[f906]) ).

fof(f3476,plain,
    ! [X0] : scratc1109747922d_l_or(X0) = aa_boo1142376798l_bool(fimplies,scratc2116202988_d_not(X0)),
    inference(definition_unfolding,[],[f2042,f2050]) ).

fof(f3480,plain,
    ! [X0,X1] :
      ( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc2116202988_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X1))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),X1)))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1812238306lesseq,X0),X1)) ),
    inference(definition_unfolding,[],[f1859,f3476]) ).

fof(f3556,plain,
    ! [X0] :
      ( pp(scratc2116202988_d_not(X0))
      | ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse)) ),
    inference(definition_unfolding,[],[f2049,f2050]) ).

fof(f3812,definition,
    ( spl29_1
  <=> pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aTP_Lamm_ac)) ),
    introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).

fof(f3814,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aTP_Lamm_ac))
    | spl29_1 ),
    inference(avatar_component_clause,[],[f3812]) ).

fof(f3815,plain,
    ~ spl29_1,
    inference(avatar_split_clause,[],[f3472,f3812]) ).

fof(f3816,plain,
    ( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ac))
    | spl29_1 ),
    inference(resolution,[],[f3814,f2113]) ).

fof(f3817,plain,
    ( scratc873798558_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),aTP_Lamm_a)
    | spl29_1 ),
    inference(resolution,[],[f3814,f2114]) ).

fof(f3818,plain,
    ( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
    | spl29_1 ),
    inference(resolution,[],[f3814,f2115]) ).

fof(f3831,definition,
    ( spl29_2
  <=> scratc873798558_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),aTP_Lamm_a) ),
    introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).

fof(f3833,plain,
    ( scratc873798558_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),aTP_Lamm_a)
    | ~ spl29_2 ),
    inference(avatar_component_clause,[],[f3831]) ).

fof(f3834,plain,
    ( spl29_2
    | spl29_1 ),
    inference(avatar_split_clause,[],[f3817,f3812,f3831]) ).

fof(f3836,plain,
    ( ! [X0] :
        ( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
        | ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ac))
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),X0)) )
    | ~ spl29_2 ),
    inference(resolution,[],[f3833,f2112]) ).

fof(f3837,plain,
    ( ! [X0] :
        ( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),X0)) )
    | spl29_1
    | ~ spl29_2 ),
    inference(forward_subsumption_resolution,[],[f3836,f3816]) ).

fof(f3839,definition,
    ( spl29_3
  <=> ! [X0] :
        ( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),X0)) ) ),
    introduced(definition,[new_symbols(definition,[spl29_3])],[avatar_definition]) ).

fof(f3840,plain,
    ( ! [X0] :
        ( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),X0)) )
    | ~ spl29_3 ),
    inference(avatar_component_clause,[],[f3839]) ).

fof(f3841,plain,
    ( spl29_3
    | spl29_1
    | ~ spl29_2 ),
    inference(avatar_split_clause,[],[f3837,f3831,f3812,f3839]) ).

fof(f4460,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aTP_Lamm_ca))
    | pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bz,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
    | ~ spl29_3 ),
    inference(resolution,[],[f3840,f2677]) ).

fof(f4486,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aTP_Lamm_ek))
    | pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ej,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
    | ~ spl29_3 ),
    inference(resolution,[],[f3840,f2635]) ).

fof(f4631,plain,
    ( pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ej,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
    | ~ spl29_3 ),
    inference(forward_subsumption_resolution,[],[f4486,f2143]) ).

fof(f4654,plain,
    ( pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bz,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
    | ~ spl29_3 ),
    inference(forward_subsumption_resolution,[],[f4460,f2118]) ).

fof(f4726,definition,
    ( spl29_4
  <=> gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ac)) ),
    introduced(definition,[new_symbols(definition,[spl29_4])],[avatar_definition]) ).

fof(f4728,plain,
    ( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ac))
    | ~ spl29_4 ),
    inference(avatar_component_clause,[],[f4726]) ).

fof(f4729,plain,
    ( spl29_4
    | spl29_1 ),
    inference(avatar_split_clause,[],[f3816,f3812,f4726]) ).

fof(f4731,definition,
    ( spl29_5
  <=> pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac))) ),
    introduced(definition,[new_symbols(definition,[spl29_5])],[avatar_definition]) ).

fof(f4733,plain,
    ( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
    | spl29_5 ),
    inference(avatar_component_clause,[],[f4731]) ).

fof(f4734,plain,
    ( ~ spl29_5
    | spl29_1 ),
    inference(avatar_split_clause,[],[f3818,f3812,f4731]) ).

fof(f4735,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
    | spl29_5 ),
    inference(resolution,[],[f4733,f2680]) ).

fof(f4774,definition,
    ( spl29_6
  <=> pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))) ),
    introduced(definition,[new_symbols(definition,[spl29_6])],[avatar_definition]) ).

fof(f4776,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
    | spl29_6 ),
    inference(avatar_component_clause,[],[f4774]) ).

fof(f4777,plain,
    ( ~ spl29_6
    | spl29_5 ),
    inference(avatar_split_clause,[],[f4735,f4731,f4774]) ).

fof(f4779,plain,
    ( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
    | spl29_6 ),
    inference(resolution,[],[f4776,f2113]) ).

fof(f4780,plain,
    ( scratc873798558_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),aTP_Lamm_a)
    | spl29_6 ),
    inference(resolution,[],[f4776,f2114]) ).

fof(f4781,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
    | spl29_6 ),
    inference(resolution,[],[f4776,f2115]) ).

fof(f4794,definition,
    ( spl29_7
  <=> scratc873798558_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),aTP_Lamm_a) ),
    introduced(definition,[new_symbols(definition,[spl29_7])],[avatar_definition]) ).

fof(f4796,plain,
    ( scratc873798558_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),aTP_Lamm_a)
    | ~ spl29_7 ),
    inference(avatar_component_clause,[],[f4794]) ).

fof(f4797,plain,
    ( spl29_7
    | spl29_6 ),
    inference(avatar_split_clause,[],[f4780,f4774,f4794]) ).

fof(f4799,plain,
    ( ! [X0] :
        ( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
        | ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),X0)) )
    | ~ spl29_7 ),
    inference(resolution,[],[f4796,f2112]) ).

fof(f4800,plain,
    ( ! [X0] :
        ( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),X0)) )
    | spl29_6
    | ~ spl29_7 ),
    inference(forward_subsumption_resolution,[],[f4799,f4779]) ).

fof(f4802,definition,
    ( spl29_8
  <=> ! [X0] :
        ( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),X0)) ) ),
    introduced(definition,[new_symbols(definition,[spl29_8])],[avatar_definition]) ).

fof(f4803,plain,
    ( ! [X0] :
        ( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),X0)) )
    | ~ spl29_8 ),
    inference(avatar_component_clause,[],[f4802]) ).

fof(f4804,plain,
    ( spl29_8
    | spl29_6
    | ~ spl29_7 ),
    inference(avatar_split_clause,[],[f4800,f4794,f4774,f4802]) ).

fof(f5436,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aTP_Lamm_dg))
    | pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_df,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
    | ~ spl29_8 ),
    inference(resolution,[],[f4803,f2651]) ).

fof(f5604,plain,
    ( pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_df,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
    | ~ spl29_8 ),
    inference(forward_subsumption_resolution,[],[f5436,f2131]) ).

fof(f5689,definition,
    ( spl29_9
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) ),
    introduced(definition,[new_symbols(definition,[spl29_9])],[avatar_definition]) ).

fof(f5691,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
    | spl29_9 ),
    inference(avatar_component_clause,[],[f5689]) ).

fof(f5692,plain,
    ( ~ spl29_9
    | spl29_6 ),
    inference(avatar_split_clause,[],[f4781,f4774,f5689]) ).

fof(f5693,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
    | spl29_9 ),
    inference(resolution,[],[f5691,f3017]) ).

fof(f5740,definition,
    ( spl29_10
  <=> pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) ),
    introduced(definition,[new_symbols(definition,[spl29_10])],[avatar_definition]) ).

fof(f5742,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
    | spl29_10 ),
    inference(avatar_component_clause,[],[f5740]) ).

fof(f5743,plain,
    ( ~ spl29_10
    | spl29_9 ),
    inference(avatar_split_clause,[],[f5693,f5689,f5740]) ).

fof(f5745,plain,
    ( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
    | spl29_10 ),
    inference(resolution,[],[f5742,f2113]) ).

fof(f5746,plain,
    ( scratc873798558_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aTP_Lamm_a)
    | spl29_10 ),
    inference(resolution,[],[f5742,f2114]) ).

fof(f5747,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
    | spl29_10 ),
    inference(resolution,[],[f5742,f2115]) ).

fof(f5760,definition,
    ( spl29_11
  <=> scratc873798558_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aTP_Lamm_a) ),
    introduced(definition,[new_symbols(definition,[spl29_11])],[avatar_definition]) ).

fof(f5762,plain,
    ( scratc873798558_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aTP_Lamm_a)
    | ~ spl29_11 ),
    inference(avatar_component_clause,[],[f5760]) ).

fof(f5763,plain,
    ( spl29_11
    | spl29_10 ),
    inference(avatar_split_clause,[],[f5746,f5740,f5760]) ).

fof(f5765,plain,
    ( ! [X0] :
        ( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
        | ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),X0)) )
    | ~ spl29_11 ),
    inference(resolution,[],[f5762,f2112]) ).

fof(f5766,plain,
    ( ! [X0] :
        ( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),X0)) )
    | spl29_10
    | ~ spl29_11 ),
    inference(forward_subsumption_resolution,[],[f5765,f5745]) ).

fof(f5773,definition,
    ( spl29_13
  <=> ! [X0] :
        ( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),X0)) ) ),
    introduced(definition,[new_symbols(definition,[spl29_13])],[avatar_definition]) ).

fof(f5774,plain,
    ( ! [X0] :
        ( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),X0)) )
    | ~ spl29_13 ),
    inference(avatar_component_clause,[],[f5773]) ).

fof(f5775,plain,
    ( spl29_13
    | spl29_10
    | ~ spl29_11 ),
    inference(avatar_split_clause,[],[f5766,f5760,f5740,f5773]) ).

fof(f5961,definition,
    ( spl29_15
  <=> gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) ),
    introduced(definition,[new_symbols(definition,[spl29_15])],[avatar_definition]) ).

fof(f5963,plain,
    ( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
    | ~ spl29_15 ),
    inference(avatar_component_clause,[],[f5961]) ).

fof(f5964,plain,
    ( spl29_15
    | spl29_10 ),
    inference(avatar_split_clause,[],[f5745,f5740,f5961]) ).

fof(f6610,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aTP_Lamm_el))
    | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
    | ~ spl29_13 ),
    inference(resolution,[],[f5774,f2407]) ).

fof(f6753,plain,
    ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
    | ~ spl29_13 ),
    inference(forward_subsumption_resolution,[],[f6610,f2144]) ).

fof(f6849,definition,
    ( spl29_16
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) ),
    introduced(definition,[new_symbols(definition,[spl29_16])],[avatar_definition]) ).

fof(f6851,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
    | spl29_16 ),
    inference(avatar_component_clause,[],[f6849]) ).

fof(f6852,plain,
    ( ~ spl29_16
    | spl29_10 ),
    inference(avatar_split_clause,[],[f5747,f5740,f6849]) ).

fof(f6853,plain,
    ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1812238306lesseq,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
    | spl29_16 ),
    inference(resolution,[],[f6851,f3141]) ).

fof(f6854,plain,
    ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
    | spl29_16 ),
    inference(resolution,[],[f6851,f3142]) ).

fof(f6855,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
    | spl29_16 ),
    inference(resolution,[],[f6851,f3143]) ).

fof(f6902,definition,
    ( spl29_17
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) ),
    introduced(definition,[new_symbols(definition,[spl29_17])],[avatar_definition]) ).

fof(f6904,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
    | spl29_17 ),
    inference(avatar_component_clause,[],[f6902]) ).

fof(f6905,plain,
    ( ~ spl29_17
    | spl29_16 ),
    inference(avatar_split_clause,[],[f6855,f6849,f6902]) ).

fof(f6922,plain,
    ( ! [X0,X1] :
        ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X1),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X1),X0))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dd(X1),X0),sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) )
    | spl29_17 ),
    inference(resolution,[],[f6904,f3369]) ).

fof(f7062,definition,
    ( spl29_20
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1812238306lesseq,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) ),
    introduced(definition,[new_symbols(definition,[spl29_20])],[avatar_definition]) ).

fof(f7064,plain,
    ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1812238306lesseq,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
    | ~ spl29_20 ),
    inference(avatar_component_clause,[],[f7062]) ).

fof(f7065,plain,
    ( spl29_20
    | spl29_16 ),
    inference(avatar_split_clause,[],[f6853,f6849,f7062]) ).

fof(f7073,plain,
    ( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc2116202988_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
    | ~ spl29_20 ),
    inference(resolution,[],[f7064,f3480]) ).

fof(f7107,definition,
    ( spl29_21
  <=> pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc2116202988_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) ),
    introduced(definition,[new_symbols(definition,[spl29_21])],[avatar_definition]) ).

fof(f7109,plain,
    ( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc2116202988_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
    | ~ spl29_21 ),
    inference(avatar_component_clause,[],[f7107]) ).

fof(f7110,plain,
    ( spl29_21
    | ~ spl29_20 ),
    inference(avatar_split_clause,[],[f7073,f7062,f7107]) ).

fof(f7112,plain,
    ( ~ pp(scratc2116202988_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
    | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
    | ~ spl29_21 ),
    inference(resolution,[],[f7109,f3463]) ).

fof(f7212,definition,
    ( spl29_25
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) ),
    introduced(definition,[new_symbols(definition,[spl29_25])],[avatar_definition]) ).

fof(f7214,plain,
    ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
    | ~ spl29_25 ),
    inference(avatar_component_clause,[],[f7212]) ).

fof(f7215,plain,
    ( spl29_25
    | spl29_16 ),
    inference(avatar_split_clause,[],[f6854,f6849,f7212]) ).

fof(f7223,plain,
    ( ! [X0] :
        ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by(X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) )
    | ~ spl29_25 ),
    inference(resolution,[],[f7214,f3144]) ).

fof(f7968,definition,
    ( spl29_43
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) ),
    introduced(definition,[new_symbols(definition,[spl29_43])],[avatar_definition]) ).

fof(f7970,plain,
    ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
    | ~ spl29_43 ),
    inference(avatar_component_clause,[],[f7968]) ).

fof(f7972,definition,
    ( spl29_44
  <=> pp(scratc2116202988_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) ),
    introduced(definition,[new_symbols(definition,[spl29_44])],[avatar_definition]) ).

fof(f7974,plain,
    ( ~ pp(scratc2116202988_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
    | spl29_44 ),
    inference(avatar_component_clause,[],[f7972]) ).

fof(f7975,plain,
    ( spl29_43
    | ~ spl29_44
    | ~ spl29_21 ),
    inference(avatar_split_clause,[],[f7112,f7107,f7972,f7968]) ).

fof(f7979,plain,
    ( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),fFalse))
    | spl29_44 ),
    inference(resolution,[],[f7974,f3556]) ).

fof(f7992,definition,
    ( spl29_45
  <=> pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),fFalse)) ),
    introduced(definition,[new_symbols(definition,[spl29_45])],[avatar_definition]) ).

fof(f7994,plain,
    ( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),fFalse))
    | spl29_45 ),
    inference(avatar_component_clause,[],[f7992]) ).

fof(f7995,plain,
    ( ~ spl29_45
    | spl29_44 ),
    inference(avatar_split_clause,[],[f7979,f7972,f7992]) ).

fof(f7997,plain,
    ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
    | spl29_45 ),
    inference(resolution,[],[f7994,f3465]) ).

fof(f8660,definition,
    ( spl29_65
  <=> pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ej,sK12(aTP_Lamm_a,aTP_Lamm_ac)))) ),
    introduced(definition,[new_symbols(definition,[spl29_65])],[avatar_definition]) ).

fof(f8662,plain,
    ( pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ej,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
    | ~ spl29_65 ),
    inference(avatar_component_clause,[],[f8660]) ).

fof(f8663,plain,
    ( spl29_65
    | ~ spl29_3 ),
    inference(avatar_split_clause,[],[f4631,f3839,f8660]) ).

fof(f9049,definition,
    ( spl29_80
  <=> pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bz,sK12(aTP_Lamm_a,aTP_Lamm_ac)))) ),
    introduced(definition,[new_symbols(definition,[spl29_80])],[avatar_definition]) ).

fof(f9051,plain,
    ( pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bz,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
    | ~ spl29_80 ),
    inference(avatar_component_clause,[],[f9049]) ).

fof(f9052,plain,
    ( spl29_80
    | ~ spl29_3 ),
    inference(avatar_split_clause,[],[f4654,f3839,f9049]) ).

fof(f9144,definition,
    ( spl29_87
  <=> ! [X0] :
        ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by(X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) ) ),
    introduced(definition,[new_symbols(definition,[spl29_87])],[avatar_definition]) ).

fof(f9145,plain,
    ( ! [X0] :
        ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by(X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
        | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) )
    | ~ spl29_87 ),
    inference(avatar_component_clause,[],[f9144]) ).

fof(f9146,plain,
    ( spl29_87
    | ~ spl29_25 ),
    inference(avatar_split_clause,[],[f7223,f7212,f9144]) ).

fof(f9418,definition,
    ( spl29_99
  <=> pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_df,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) ),
    introduced(definition,[new_symbols(definition,[spl29_99])],[avatar_definition]) ).

fof(f9420,plain,
    ( pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_df,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
    | ~ spl29_99 ),
    inference(avatar_component_clause,[],[f9418]) ).

fof(f9421,plain,
    ( spl29_99
    | ~ spl29_8 ),
    inference(avatar_split_clause,[],[f5604,f4802,f9418]) ).

fof(f9469,definition,
    ( spl29_102
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) ),
    introduced(definition,[new_symbols(definition,[spl29_102])],[avatar_definition]) ).

fof(f9471,plain,
    ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
    | ~ spl29_102 ),
    inference(avatar_component_clause,[],[f9469]) ).

fof(f9472,plain,
    ( spl29_102
    | ~ spl29_13 ),
    inference(avatar_split_clause,[],[f6753,f5773,f9469]) ).

fof(f10532,plain,
    ( ! [X0] :
        ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
        | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by(X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) )
    | ~ spl29_13
    | ~ spl29_87 ),
    inference(resolution,[],[f9145,f5774]) ).

fof(f10779,definition,
    ( spl29_149
  <=> ! [X0,X1] :
        ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X1),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X1),X0))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dd(X1),X0),sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) ) ),
    introduced(definition,[new_symbols(definition,[spl29_149])],[avatar_definition]) ).

fof(f10780,plain,
    ( ! [X0,X1] :
        ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dd(X1),X0),sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X1),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X1),X0))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) )
    | ~ spl29_149 ),
    inference(avatar_component_clause,[],[f10779]) ).

fof(f10781,plain,
    ( spl29_149
    | spl29_17 ),
    inference(avatar_split_clause,[],[f6922,f6902,f10779]) ).

fof(f10792,plain,
    ( ! [X0,X1] :
        ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X1),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dd(X0),X1),sK12(aTP_Lamm_a,aTP_Lamm_ac)))) )
    | ~ spl29_13
    | ~ spl29_149 ),
    inference(resolution,[],[f10780,f5774]) ).

fof(f11495,definition,
    ( spl29_163
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aTP_Lamm_ac))) ),
    introduced(definition,[new_symbols(definition,[spl29_163])],[avatar_definition]) ).

fof(f11496,plain,
    ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
    | ~ spl29_163 ),
    inference(avatar_component_clause,[],[f11495]) ).

fof(f11497,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
    | spl29_163 ),
    inference(avatar_component_clause,[],[f11495]) ).

fof(f11571,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
    | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ej,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
    | spl29_163 ),
    inference(resolution,[],[f11497,f2789]) ).

fof(f12180,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ej,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
    | ~ spl29_43
    | spl29_163 ),
    inference(forward_subsumption_resolution,[],[f11571,f7970]) ).

fof(f12198,definition,
    ( spl29_179
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ej,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) ),
    introduced(definition,[new_symbols(definition,[spl29_179])],[avatar_definition]) ).

fof(f12200,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ej,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
    | spl29_179 ),
    inference(avatar_component_clause,[],[f12198]) ).

fof(f12201,plain,
    ( ~ spl29_179
    | ~ spl29_43
    | spl29_163 ),
    inference(avatar_split_clause,[],[f12180,f11495,f7968,f12198]) ).

fof(f12270,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ej,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
    | ~ spl29_8
    | spl29_179 ),
    inference(resolution,[],[f12200,f4803]) ).

fof(f12310,plain,
    ( $false
    | ~ spl29_8
    | ~ spl29_65
    | spl29_179 ),
    inference(forward_subsumption_resolution,[],[f12270,f8662]) ).

fof(f12311,plain,
    ( ~ spl29_8
    | ~ spl29_65
    | spl29_179 ),
    inference(avatar_contradiction_clause,[],[f12310]) ).

fof(f30854,definition,
    ( spl29_555
  <=> ! [X0,X1] :
        ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X1),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dd(X0),X1),sK12(aTP_Lamm_a,aTP_Lamm_ac)))) ) ),
    introduced(definition,[new_symbols(definition,[spl29_555])],[avatar_definition]) ).

fof(f30855,plain,
    ( ! [X0,X1] :
        ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X1),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dd(X0),X1),sK12(aTP_Lamm_a,aTP_Lamm_ac)))) )
    | ~ spl29_555 ),
    inference(avatar_component_clause,[],[f30854]) ).

fof(f30856,plain,
    ( spl29_555
    | ~ spl29_13
    | ~ spl29_149 ),
    inference(avatar_split_clause,[],[f10792,f10779,f5773,f30854]) ).

fof(f30873,plain,
    ( ! [X0] :
        ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dd(X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aTP_Lamm_ac)))) )
    | ~ spl29_102
    | ~ spl29_555 ),
    inference(resolution,[],[f30855,f9471]) ).

fof(f30922,definition,
    ( spl29_556
  <=> ! [X0] :
        ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dd(X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aTP_Lamm_ac)))) ) ),
    introduced(definition,[new_symbols(definition,[spl29_556])],[avatar_definition]) ).

fof(f30923,plain,
    ( ! [X0] :
        ( ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dd(X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aTP_Lamm_ac))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) )
    | ~ spl29_556 ),
    inference(avatar_component_clause,[],[f30922]) ).

fof(f30924,plain,
    ( spl29_556
    | ~ spl29_102
    | ~ spl29_555 ),
    inference(avatar_split_clause,[],[f30873,f30854,f9469,f30922]) ).

fof(f30925,plain,
    ( ! [X0] :
        ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_de(X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aTP_Lamm_ac))) )
    | ~ spl29_556 ),
    inference(resolution,[],[f30923,f3267]) ).

fof(f30943,definition,
    ( spl29_557
  <=> ! [X0] :
        ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_de(X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aTP_Lamm_ac))) ) ),
    introduced(definition,[new_symbols(definition,[spl29_557])],[avatar_definition]) ).

fof(f30944,plain,
    ( ! [X0] :
        ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_de(X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),sK12(aTP_Lamm_a,aTP_Lamm_ac))) )
    | ~ spl29_557 ),
    inference(avatar_component_clause,[],[f30943]) ).

fof(f30945,plain,
    ( spl29_557
    | ~ spl29_556 ),
    inference(avatar_split_clause,[],[f30925,f30922,f30943]) ).

fof(f30957,plain,
    ( ! [X0,X1] :
        ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
        | ~ scratc873798558_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),X1)
        | ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ac))
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_de(X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))) )
    | ~ spl29_557 ),
    inference(resolution,[],[f30944,f2112]) ).

fof(f30993,plain,
    ( ! [X0,X1] :
        ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
        | ~ scratc873798558_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),X1)
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_de(X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))) )
    | ~ spl29_4
    | ~ spl29_557 ),
    inference(forward_subsumption_resolution,[],[f30957,f4728]) ).

fof(f63588,definition,
    ( spl29_1084
  <=> ! [X0] :
        ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
        | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by(X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) ) ),
    introduced(definition,[new_symbols(definition,[spl29_1084])],[avatar_definition]) ).

fof(f63589,plain,
    ( ! [X0] :
        ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by(X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) )
    | ~ spl29_1084 ),
    inference(avatar_component_clause,[],[f63588]) ).

fof(f63590,plain,
    ( spl29_1084
    | ~ spl29_13
    | ~ spl29_87 ),
    inference(avatar_split_clause,[],[f10532,f9144,f5773,f63588]) ).

fof(f63605,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
    | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
    | spl29_17
    | ~ spl29_1084 ),
    inference(resolution,[],[f63589,f6904]) ).

fof(f73250,definition,
    ( spl29_1263
  <=> ! [X0,X1] :
        ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
        | ~ scratc873798558_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),X1)
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_de(X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))) ) ),
    introduced(definition,[new_symbols(definition,[spl29_1263])],[avatar_definition]) ).

fof(f73251,plain,
    ( ! [X0,X1] :
        ( ~ pp(aa_fun171081125l_bool(scratc191532219all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_de(X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
        | ~ scratc873798558_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),X1)
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) )
    | ~ spl29_1263 ),
    inference(avatar_component_clause,[],[f73250]) ).

fof(f73252,plain,
    ( spl29_1263
    | ~ spl29_4
    | ~ spl29_557 ),
    inference(avatar_split_clause,[],[f30993,f30943,f4726,f73250]) ).

fof(f73253,plain,
    ( ! [X0] :
        ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
        | ~ scratc873798558_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),aTP_Lamm_a)
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_df,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) )
    | ~ spl29_1263 ),
    inference(resolution,[],[f73251,f3008]) ).

fof(f73271,plain,
    ( ! [X0] :
        ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_df,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) )
    | ~ spl29_2
    | ~ spl29_1263 ),
    inference(forward_subsumption_resolution,[],[f73253,f3833]) ).

fof(f73273,definition,
    ( spl29_1264
  <=> ! [X0] :
        ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_df,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) ) ),
    introduced(definition,[new_symbols(definition,[spl29_1264])],[avatar_definition]) ).

fof(f73274,plain,
    ( ! [X0] :
        ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_df,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),sK12(aTP_Lamm_a,aTP_Lamm_ac))) )
    | ~ spl29_1264 ),
    inference(avatar_component_clause,[],[f73273]) ).

fof(f73275,plain,
    ( spl29_1264
    | ~ spl29_2
    | ~ spl29_1263 ),
    inference(avatar_split_clause,[],[f73271,f73250,f3831,f73273]) ).

fof(f73288,plain,
    ( ! [X0,X1] :
        ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
        | ~ scratc873798558_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),X1)
        | ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_df,X0))) )
    | ~ spl29_1264 ),
    inference(resolution,[],[f73274,f2112]) ).

fof(f73324,plain,
    ( ! [X0,X1] :
        ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
        | ~ scratc873798558_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),X1)
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_df,X0))) )
    | ~ spl29_15
    | ~ spl29_1264 ),
    inference(forward_subsumption_resolution,[],[f73288,f5963]) ).

fof(f73326,definition,
    ( spl29_1265
  <=> ! [X0,X1] :
        ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
        | ~ scratc873798558_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),X1)
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_df,X0))) ) ),
    introduced(definition,[new_symbols(definition,[spl29_1265])],[avatar_definition]) ).

fof(f73327,plain,
    ( ! [X0,X1] :
        ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1663796304_lessf,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,X0),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
        | ~ scratc873798558_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),X1)
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_df,X0))) )
    | ~ spl29_1265 ),
    inference(avatar_component_clause,[],[f73326]) ).

fof(f73328,plain,
    ( spl29_1265
    | ~ spl29_15
    | ~ spl29_1264 ),
    inference(avatar_split_clause,[],[f73324,f73273,f5961,f73326]) ).

fof(f73329,plain,
    ( ! [X0] :
        ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1240736861d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
        | ~ scratc873798558_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),X0)
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_df,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) )
    | ~ spl29_25
    | ~ spl29_1265 ),
    inference(resolution,[],[f73327,f7214]) ).

fof(f73393,plain,
    ( ! [X0] :
        ( ~ scratc873798558_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),X0)
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_df,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) )
    | ~ spl29_25
    | ~ spl29_163
    | ~ spl29_1265 ),
    inference(forward_subsumption_resolution,[],[f73329,f11496]) ).

fof(f73395,definition,
    ( spl29_1266
  <=> ! [X0] :
        ( ~ scratc873798558_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),X0)
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_df,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) ) ),
    introduced(definition,[new_symbols(definition,[spl29_1266])],[avatar_definition]) ).

fof(f73396,plain,
    ( ! [X0] :
        ( ~ scratc873798558_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),X0)
        | ~ pp(aa_fun171081125l_bool(scratc191532219all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_df,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) )
    | ~ spl29_1266 ),
    inference(avatar_component_clause,[],[f73395]) ).

fof(f73397,plain,
    ( spl29_1266
    | ~ spl29_25
    | ~ spl29_163
    | ~ spl29_1265 ),
    inference(avatar_split_clause,[],[f73393,f73326,f11495,f7212,f73395]) ).

fof(f73398,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_df,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
    | pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
    | ~ spl29_1266 ),
    inference(resolution,[],[f73396,f2114]) ).

fof(f73407,plain,
    ( pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
    | ~ spl29_99
    | ~ spl29_1266 ),
    inference(forward_subsumption_resolution,[],[f73398,f9420]) ).

fof(f73408,plain,
    ( $false
    | spl29_10
    | ~ spl29_99
    | ~ spl29_1266 ),
    inference(forward_subsumption_resolution,[],[f73407,f5742]) ).

fof(f73409,plain,
    ( spl29_10
    | ~ spl29_99
    | ~ spl29_1266 ),
    inference(avatar_contradiction_clause,[],[f73408]) ).

fof(f73435,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
    | spl29_17
    | spl29_45
    | ~ spl29_1084 ),
    inference(forward_subsumption_resolution,[],[f63605,f7997]) ).

fof(f73596,definition,
    ( spl29_1267
  <=> pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) ),
    introduced(definition,[new_symbols(definition,[spl29_1267])],[avatar_definition]) ).

fof(f73598,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
    | spl29_1267 ),
    inference(avatar_component_clause,[],[f73596]) ).

fof(f73599,plain,
    ( ~ spl29_1267
    | spl29_17
    | spl29_45
    | ~ spl29_1084 ),
    inference(avatar_split_clause,[],[f73435,f63588,f7992,f6902,f73596]) ).

fof(f73823,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bz,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
    | spl29_1267 ),
    inference(resolution,[],[f73598,f3014]) ).

fof(f75448,definition,
    ( spl29_1283
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bz,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) ),
    introduced(definition,[new_symbols(definition,[spl29_1283])],[avatar_definition]) ).

fof(f75450,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bz,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
    | spl29_1283 ),
    inference(avatar_component_clause,[],[f75448]) ).

fof(f75451,plain,
    ( ~ spl29_1283
    | spl29_1267 ),
    inference(avatar_split_clause,[],[f73823,f73596,f75448]) ).

fof(f76787,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc191532219all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bz,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
    | ~ spl29_8
    | spl29_1283 ),
    inference(resolution,[],[f75450,f4803]) ).

fof(f76834,plain,
    ( $false
    | ~ spl29_8
    | ~ spl29_80
    | spl29_1283 ),
    inference(forward_subsumption_resolution,[],[f76787,f9051]) ).

fof(f76835,plain,
    ( ~ spl29_8
    | ~ spl29_80
    | spl29_1283 ),
    inference(avatar_contradiction_clause,[],[f76834]) ).

cnf(s1,plain,
    ~ spl29_1,
    inference(sat_conversion,[],[f3815]) ).

cnf(s2,plain,
    ( spl29_1
    | spl29_2 ),
    inference(sat_conversion,[],[f3834]) ).

cnf(s3,plain,
    ( spl29_1
    | ~ spl29_2
    | spl29_3 ),
    inference(sat_conversion,[],[f3841]) ).

cnf(s4,plain,
    ( spl29_1
    | spl29_4 ),
    inference(sat_conversion,[],[f4729]) ).

cnf(s5,plain,
    ( spl29_1
    | ~ spl29_5 ),
    inference(sat_conversion,[],[f4734]) ).

cnf(s6,plain,
    ( spl29_5
    | ~ spl29_6 ),
    inference(sat_conversion,[],[f4777]) ).

cnf(s7,plain,
    ( spl29_6
    | spl29_7 ),
    inference(sat_conversion,[],[f4797]) ).

cnf(s8,plain,
    ( spl29_6
    | ~ spl29_7
    | spl29_8 ),
    inference(sat_conversion,[],[f4804]) ).

cnf(s9,plain,
    ( spl29_6
    | ~ spl29_9 ),
    inference(sat_conversion,[],[f5692]) ).

cnf(s10,plain,
    ( spl29_9
    | ~ spl29_10 ),
    inference(sat_conversion,[],[f5743]) ).

cnf(s11,plain,
    ( spl29_10
    | spl29_11 ),
    inference(sat_conversion,[],[f5763]) ).

cnf(s13,plain,
    ( spl29_10
    | ~ spl29_11
    | spl29_13 ),
    inference(sat_conversion,[],[f5775]) ).

cnf(s15,plain,
    ( spl29_10
    | spl29_15 ),
    inference(sat_conversion,[],[f5964]) ).

cnf(s16,plain,
    ( spl29_10
    | ~ spl29_16 ),
    inference(sat_conversion,[],[f6852]) ).

cnf(s17,plain,
    ( spl29_16
    | ~ spl29_17 ),
    inference(sat_conversion,[],[f6905]) ).

cnf(s20,plain,
    ( spl29_16
    | spl29_20 ),
    inference(sat_conversion,[],[f7065]) ).

cnf(s21,plain,
    ( ~ spl29_20
    | spl29_21 ),
    inference(sat_conversion,[],[f7110]) ).

cnf(s25,plain,
    ( spl29_16
    | spl29_25 ),
    inference(sat_conversion,[],[f7215]) ).

cnf(s43,plain,
    ( ~ spl29_21
    | spl29_43
    | ~ spl29_44 ),
    inference(sat_conversion,[],[f7975]) ).

cnf(s44,plain,
    ( spl29_44
    | ~ spl29_45 ),
    inference(sat_conversion,[],[f7995]) ).

cnf(s64,plain,
    ( ~ spl29_3
    | spl29_65 ),
    inference(sat_conversion,[],[f8663]) ).

cnf(s79,plain,
    ( ~ spl29_3
    | spl29_80 ),
    inference(sat_conversion,[],[f9052]) ).

cnf(s86,plain,
    ( ~ spl29_25
    | spl29_87 ),
    inference(sat_conversion,[],[f9146]) ).

cnf(s100,plain,
    ( ~ spl29_8
    | spl29_99 ),
    inference(sat_conversion,[],[f9421]) ).

cnf(s103,plain,
    ( ~ spl29_13
    | spl29_102 ),
    inference(sat_conversion,[],[f9472]) ).

cnf(s149,plain,
    ( spl29_17
    | spl29_149 ),
    inference(sat_conversion,[],[f10781]) ).

cnf(s181,plain,
    ( ~ spl29_43
    | spl29_163
    | ~ spl29_179 ),
    inference(sat_conversion,[],[f12201]) ).

cnf(s182,plain,
    ( ~ spl29_8
    | ~ spl29_65
    | spl29_179 ),
    inference(sat_conversion,[],[f12311]) ).

cnf(s555,plain,
    ( ~ spl29_13
    | ~ spl29_149
    | spl29_555 ),
    inference(sat_conversion,[],[f30856]) ).

cnf(s556,plain,
    ( ~ spl29_102
    | ~ spl29_555
    | spl29_556 ),
    inference(sat_conversion,[],[f30924]) ).

cnf(s557,plain,
    ( ~ spl29_556
    | spl29_557 ),
    inference(sat_conversion,[],[f30945]) ).

cnf(s1207,plain,
    ( ~ spl29_13
    | ~ spl29_87
    | spl29_1084 ),
    inference(sat_conversion,[],[f63590]) ).

cnf(s1393,plain,
    ( ~ spl29_4
    | ~ spl29_557
    | spl29_1263 ),
    inference(sat_conversion,[],[f73252]) ).

cnf(s1394,plain,
    ( ~ spl29_2
    | ~ spl29_1263
    | spl29_1264 ),
    inference(sat_conversion,[],[f73275]) ).

cnf(s1395,plain,
    ( ~ spl29_15
    | ~ spl29_1264
    | spl29_1265 ),
    inference(sat_conversion,[],[f73328]) ).

cnf(s1396,plain,
    ( ~ spl29_25
    | ~ spl29_163
    | ~ spl29_1265
    | spl29_1266 ),
    inference(sat_conversion,[],[f73397]) ).

cnf(s1398,plain,
    ( spl29_10
    | ~ spl29_99
    | ~ spl29_1266 ),
    inference(sat_conversion,[],[f73409]) ).

cnf(s1419,plain,
    ( spl29_17
    | spl29_45
    | ~ spl29_1084
    | ~ spl29_1267 ),
    inference(sat_conversion,[],[f73599]) ).

cnf(s1443,plain,
    ( spl29_1267
    | ~ spl29_1283 ),
    inference(sat_conversion,[],[f75451]) ).

cnf(s1457,plain,
    ( ~ spl29_8
    | ~ spl29_80
    | spl29_1283 ),
    inference(sat_conversion,[],[f76835]) ).

cnf(s1463,plain,
    ~ spl29_5,
    inference(rat,[],[s5,s1]) ).

cnf(s1464,plain,
    spl29_4,
    inference(rat,[],[s4,s1]) ).

cnf(s1465,plain,
    spl29_2,
    inference(rat,[],[s2,s1]) ).

cnf(s1476,plain,
    ~ spl29_6,
    inference(rat,[],[s6,s1463]) ).

cnf(s1485,plain,
    spl29_3,
    inference(rat,[],[s3,s1,s1465]) ).

cnf(s1496,plain,
    ~ spl29_9,
    inference(rat,[],[s9,s1476]) ).

cnf(s1497,plain,
    spl29_7,
    inference(rat,[],[s7,s1476]) ).

cnf(s1520,plain,
    spl29_80,
    inference(rat,[],[s79,s1485]) ).

cnf(s1533,plain,
    spl29_65,
    inference(rat,[],[s64,s1485]) ).

cnf(s1559,plain,
    ~ spl29_10,
    inference(rat,[],[s10,s1496]) ).

cnf(s1560,plain,
    spl29_8,
    inference(rat,[],[s8,s1476,s1497]) ).

cnf(s1636,plain,
    ~ spl29_16,
    inference(rat,[],[s16,s1559]) ).

cnf(s1637,plain,
    spl29_15,
    inference(rat,[],[s15,s1559]) ).

cnf(s1638,plain,
    spl29_11,
    inference(rat,[],[s11,s1559]) ).

cnf(s1639,plain,
    spl29_1283,
    inference(rat,[],[s1457,s1520,s1560]) ).

cnf(s1654,plain,
    spl29_179,
    inference(rat,[],[s182,s1533,s1560]) ).

cnf(s1673,plain,
    spl29_99,
    inference(rat,[],[s100,s1560]) ).

cnf(s1729,plain,
    spl29_25,
    inference(rat,[],[s25,s1636]) ).

cnf(s1730,plain,
    spl29_20,
    inference(rat,[],[s20,s1636]) ).

cnf(s1731,plain,
    ~ spl29_17,
    inference(rat,[],[s17,s1636]) ).

cnf(s1736,plain,
    spl29_13,
    inference(rat,[],[s13,s1559,s1638]) ).

cnf(s1737,plain,
    spl29_1267,
    inference(rat,[],[s1443,s1639]) ).

cnf(s1764,plain,
    ~ spl29_1266,
    inference(rat,[],[s1398,s1559,s1673]) ).

cnf(s1819,plain,
    spl29_87,
    inference(rat,[],[s86,s1729]) ).

cnf(s1826,plain,
    spl29_21,
    inference(rat,[],[s21,s1730]) ).

cnf(s1834,plain,
    spl29_149,
    inference(rat,[],[s149,s1731]) ).

cnf(s1867,plain,
    spl29_102,
    inference(rat,[],[s103,s1736]) ).

cnf(s1897,plain,
    spl29_1084,
    inference(rat,[],[s1207,s1736,s1819]) ).

cnf(s1916,plain,
    spl29_555,
    inference(rat,[],[s555,s1736,s1834]) ).

cnf(s1957,plain,
    spl29_45,
    inference(rat,[],[s1419,s1737,s1731,s1897]) ).

cnf(s1975,plain,
    spl29_556,
    inference(rat,[],[s556,s1867,s1916]) ).

cnf(s1996,plain,
    spl29_44,
    inference(rat,[],[s44,s1957]) ).

cnf(s2008,plain,
    spl29_557,
    inference(rat,[],[s557,s1975]) ).

cnf(s2028,plain,
    spl29_43,
    inference(rat,[],[s43,s1826,s1996]) ).

cnf(s2040,plain,
    spl29_1263,
    inference(rat,[],[s1393,s1464,s2008]) ).

cnf(s2064,plain,
    spl29_163,
    inference(rat,[],[s181,s1654,s2028]) ).

cnf(s2076,plain,
    spl29_1264,
    inference(rat,[],[s1394,s1465,s2040]) ).

cnf(s2098,plain,
    ~ spl29_1265,
    inference(rat,[],[s1396,s1764,s1729,s2064]) ).

cnf(s2127,plain,
    $false,
    inference(rat,[],[s1395,s1637,s2098,s2076]) ).

fof(f76839,plain,
    $false,
    inference(avatar_sat_refutation,[],[s2127]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM742+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n016.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sun Sep 27 21:20:02 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40  Running first-order theorem proving
% 0.10/0.40  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
% 11.90/2.69  % (2999057)Detected formulas, will run a generic FOF schedule.
% 11.90/2.69  % (2999115)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2540503665:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.90/2.69  % (2999115)Refutation not found, incomplete strategy
% 11.90/2.69  % (2999115)------------------------------
% 11.90/2.69  % (2999115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.90/2.69  % (2999115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.90/2.69  % (2999115)CaDiCaL version: 2.1.3
% 11.90/2.69  % (2999115)Termination reason: Refutation not found, incomplete strategy
% 11.90/2.69  % (2999115)Time elapsed: 0.002 s
% 11.90/2.69  % (2999115)Peak memory usage: 88 MB
% 11.90/2.69  % (2999115)Instructions burned: 4 (million)
% 11.90/2.69  % (2999113)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=2724012965:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.90/2.69  % (2999112)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=1279613670:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.90/2.69  % (2999111)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=4149045669:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.90/2.69  % (2999114)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1879122678:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.90/2.69  % (2999114)Refutation not found, incomplete strategy
% 11.90/2.69  % (2999114)------------------------------
% 11.90/2.69  % (2999114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.90/2.69  % (2999114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.90/2.69  % (2999114)CaDiCaL version: 2.1.3
% 11.90/2.69  % (2999114)Termination reason: Refutation not found, incomplete strategy
% 11.90/2.69  % (2999114)Time elapsed: 0.004 s
% 11.90/2.69  % (2999114)Peak memory usage: 88 MB
% 11.90/2.69  % (2999114)Instructions burned: 4 (million)
% 11.90/2.69  % (2999117)dis-21_1_sil=8000:lcm=predicate:random_seed=2331118897: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)
% 11.90/2.69  % (2999116)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=664851449:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.90/2.69  % (2999117)Instruction limit reached! 
% 11.90/2.69  % (2999117)------------------------------
% 11.90/2.69  % (2999117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.90/2.69  % (2999117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.90/2.69  % (2999117)CaDiCaL version: 2.1.3
% 11.90/2.69  % (2999117)Termination reason: Instruction limit
% 11.90/2.69  % (2999117)Termination phase: Saturation
% 11.90/2.69  % (2999117)Time elapsed: 0.063 s
% 11.90/2.69  % (2999117)Peak memory usage: 90 MB
% 11.90/2.69  % (2999117)Instructions burned: 129 (million)
% 11.90/2.69  % (2999116)Instruction limit reached! 
% 11.90/2.69  % (2999116)------------------------------
% 11.90/2.69  % (2999116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.90/2.69  % (2999116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.90/2.69  % (2999116)CaDiCaL version: 2.1.3
% 11.90/2.69  % (2999116)Termination reason: Instruction limit
% 11.90/2.69  % (2999116)Termination phase: Saturation
% 11.90/2.69  % (2999116)Time elapsed: 0.074 s
% 11.90/2.69  % (2999116)Peak memory usage: 91 MB
% 11.90/2.69  % (2999116)Instructions burned: 140 (million)
% 11.90/2.69  % (2999115)------------------------------
% 11.90/2.69  % (2999115)------------------------------
% 11.90/2.69  % (2999125)lrs+10_1_sil=8000:sp=occurrence:random_seed=725285488:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.90/2.69  % (2999125)Refutation not found, incomplete strategy
% 11.90/2.69  % (2999125)------------------------------
% 11.90/2.69  % (2999125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.90/2.69  % (2999125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.90/2.69  % (2999125)CaDiCaL version: 2.1.3
% 11.90/2.69  % (2999125)Termination reason: Refutation not found, incomplete strategy
% 11.90/2.69  % (2999125)Time elapsed: 0.004 s
% 11.90/2.69  % (2999125)Peak memory usage: 89 MB
% 21.61/3.92  % (2999125)Instructions burned: 4 (million)
% 21.61/3.92  % (2999127)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3112470560:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 21.61/3.92  % (2999126)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4046906212:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 21.61/3.92  % (2999127)Refutation not found, incomplete strategy
% 21.61/3.92  % (2999127)------------------------------
% 21.61/3.92  % (2999127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.61/3.92  % (2999127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.61/3.92  % (2999127)CaDiCaL version: 2.1.3
% 21.61/3.92  % (2999127)Termination reason: Refutation not found, incomplete strategy
% 21.61/3.92  % (2999127)Time elapsed: 0.003 s
% 21.61/3.92  % (2999127)Peak memory usage: 89 MB
% 21.61/3.92  % (2999127)Instructions burned: 6 (million)
% 21.61/3.92  % (2999114)------------------------------
% 21.61/3.92  % (2999114)------------------------------
% 21.61/3.92  % (2999126)Refutation not found, incomplete strategy
% 21.61/3.92  % (2999126)------------------------------
% 21.61/3.92  % (2999126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.61/3.92  % (2999126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.61/3.92  % (2999126)CaDiCaL version: 2.1.3
% 21.61/3.92  % (2999126)Termination reason: Refutation not found, incomplete strategy
% 21.61/3.92  % (2999126)Time elapsed: 0.007 s
% 21.61/3.92  % (2999126)Peak memory usage: 89 MB
% 21.61/3.92  % (2999126)Instructions burned: 14 (million)
% 21.61/3.92  % (2999127)------------------------------
% 21.61/3.92  % (2999127)------------------------------
% 21.61/3.92  % (2999131)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=2456883746:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 21.61/3.92  % (2999125)------------------------------
% 21.61/3.92  % (2999125)------------------------------
% 21.61/3.92  % (2999126)------------------------------
% 21.61/3.92  % (2999126)------------------------------
% 21.61/3.92  % (2999132)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3067502773:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 21.61/3.92  % (2999132)Refutation not found, incomplete strategy
% 21.61/3.92  % (2999132)------------------------------
% 21.61/3.92  % (2999132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.61/3.92  % (2999132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.61/3.92  % (2999132)CaDiCaL version: 2.1.3
% 21.61/3.92  % (2999132)Termination reason: Refutation not found, incomplete strategy
% 21.61/3.92  % (2999132)Time elapsed: 0.007 s
% 21.61/3.92  % (2999132)Peak memory usage: 89 MB
% 21.61/3.92  % (2999132)Instructions burned: 9 (million)
% 21.61/3.92  % (2999131)Instruction limit reached! 
% 21.61/3.92  % (2999131)------------------------------
% 21.61/3.92  % (2999131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.61/3.92  % (2999131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.61/3.92  % (2999131)CaDiCaL version: 2.1.3
% 21.61/3.92  % (2999131)Termination reason: Instruction limit
% 21.61/3.92  % (2999131)Termination phase: Saturation
% 21.61/3.92  % (2999131)Time elapsed: 0.140 s
% 21.61/3.92  % (2999131)Peak memory usage: 93 MB
% 21.61/3.92  % (2999131)Instructions burned: 248 (million)
% 21.61/3.92  % (2999134)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4159954810:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 21.61/3.92  % (2999135)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1870532132:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 21.61/3.92  % (2999135)Instruction limit reached! 
% 21.61/3.92  % (2999135)------------------------------
% 21.61/3.92  % (2999135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.61/3.92  % (2999135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.61/3.92  % (2999135)CaDiCaL version: 2.1.3
% 21.61/3.92  % (2999135)Termination reason: Instruction limit
% 21.61/3.92  % (2999135)Termination phase: Saturation
% 21.61/3.92  % (2999135)Time elapsed: 0.056 s
% 21.61/3.92  % (2999135)Peak memory usage: 90 MB
% 21.61/3.92  % (2999135)Instructions burned: 114 (million)
% 21.61/3.92  % (2999137)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1876048335:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 50.19/7.94  % (2999137)Instruction limit reached! 
% 50.19/7.94  % (2999137)------------------------------
% 50.19/7.94  % (2999137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.19/7.94  % (2999137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.19/7.94  % (2999137)CaDiCaL version: 2.1.3
% 50.19/7.94  % (2999137)Termination reason: Instruction limit
% 50.19/7.94  % (2999137)Termination phase: Saturation
% 50.19/7.94  % (2999137)Time elapsed: 0.057 s
% 50.19/7.94  % (2999137)Peak memory usage: 90 MB
% 50.19/7.94  % (2999137)Instructions burned: 127 (million)
% 50.19/7.94  % (2999132)------------------------------
% 50.19/7.94  % (2999132)------------------------------
% 50.19/7.94  % (2999140)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=499071543:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 50.19/7.94  % (2999142)lrs+10_1_sil=8000:sp=occurrence:random_seed=1484542511:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 50.19/7.94  % (2999140)Instruction limit reached! 
% 50.19/7.94  % (2999140)------------------------------
% 50.19/7.94  % (2999140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.19/7.94  % (2999140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.19/7.94  % (2999140)CaDiCaL version: 2.1.3
% 50.19/7.94  % (2999140)Termination reason: Instruction limit
% 50.19/7.94  % (2999140)Termination phase: Saturation
% 50.19/7.94  % (2999140)Time elapsed: 0.061 s
% 50.19/7.94  % (2999140)Peak memory usage: 90 MB
% 50.19/7.94  % (2999140)Instructions burned: 115 (million)
% 50.19/7.94  % (2999143)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=474738151:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 50.19/7.94  % (2999143)Refutation not found, incomplete strategy
% 50.19/7.94  % (2999143)------------------------------
% 50.19/7.94  % (2999143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.19/7.94  % (2999143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.19/7.94  % (2999143)CaDiCaL version: 2.1.3
% 50.19/7.94  % (2999143)Termination reason: Refutation not found, incomplete strategy
% 50.19/7.94  % (2999143)Time elapsed: 0.065 s
% 50.19/7.94  % (2999143)Peak memory usage: 92 MB
% 50.19/7.94  % (2999143)Instructions burned: 131 (million)
% 50.19/7.94  % (2999146)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4143803382:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 50.19/7.94  % (2999143)------------------------------
% 50.19/7.94  % (2999143)------------------------------
% 50.19/7.94  % (2999149)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=477350814:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 50.19/7.94  % (2999142)Instruction limit reached! 
% 50.19/7.94  % (2999142)------------------------------
% 50.19/7.94  % (2999142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.19/7.94  % (2999142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.19/7.94  % (2999142)CaDiCaL version: 2.1.3
% 50.19/7.94  % (2999142)Termination reason: Instruction limit
% 50.19/7.94  % (2999142)Termination phase: Saturation
% 50.19/7.94  % (2999142)Time elapsed: 0.530 s
% 50.19/7.94  % (2999142)Peak memory usage: 100 MB
% 50.19/7.94  % (2999142)Instructions burned: 908 (million)
% 50.19/7.94  % (2999149)Instruction limit reached! 
% 50.19/7.94  % (2999149)------------------------------
% 50.19/7.94  % (2999149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.19/7.94  % (2999149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.19/7.94  % (2999149)CaDiCaL version: 2.1.3
% 50.19/7.94  % (2999149)Termination reason: Instruction limit
% 50.19/7.94  % (2999149)Termination phase: Saturation
% 50.19/7.94  % (2999149)Time elapsed: 0.068 s
% 50.19/7.94  % (2999149)Peak memory usage: 92 MB
% 50.19/7.94  % (2999149)Instructions burned: 134 (million)
% 50.19/7.94  % (2999151)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=208332488:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 50.19/7.94  % (2999151)Refutation not found, incomplete strategy
% 50.19/7.94  % (2999151)------------------------------
% 50.19/7.94  % (2999151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.19/7.94  % (2999151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.19/7.94  % (2999151)CaDiCaL version: 2.1.3
% 50.19/7.94  % (2999151)Termination reason: Refutation not found, incomplete strategy
% 79.54/12.05  % (2999151)Time elapsed: 0.018 s
% 79.54/12.05  % (2999151)Peak memory usage: 89 MB
% 79.54/12.05  % (2999151)Instructions burned: 32 (million)
% 79.54/12.05  % (2999152)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2140430025:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 79.54/12.05  % (2999151)------------------------------
% 79.54/12.05  % (2999151)------------------------------
% 79.54/12.05  % (2999155)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=656374090:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 79.54/12.05  % (2999155)Refutation not found, incomplete strategy
% 79.54/12.05  % (2999155)------------------------------
% 79.54/12.05  % (2999155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.54/12.05  % (2999155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.54/12.05  % (2999155)CaDiCaL version: 2.1.3
% 79.54/12.05  % (2999155)Termination reason: Refutation not found, incomplete strategy
% 79.54/12.05  % (2999155)Time elapsed: 0.010 s
% 79.54/12.05  % (2999155)Peak memory usage: 89 MB
% 79.54/12.05  % (2999155)Instructions burned: 18 (million)
% 79.54/12.05  % (2999134)Instruction limit reached! 
% 79.54/12.05  % (2999134)------------------------------
% 79.54/12.05  % (2999134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.54/12.05  % (2999134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.54/12.05  % (2999134)CaDiCaL version: 2.1.3
% 79.54/12.05  % (2999134)Termination reason: Instruction limit
% 79.54/12.05  % (2999134)Termination phase: Saturation
% 79.54/12.05  % (2999134)Time elapsed: 1.469 s
% 79.54/12.05  % (2999134)Peak memory usage: 146 MB
% 79.54/12.05  % (2999134)Instructions burned: 2351 (million)
% 79.54/12.05  % (2999155)------------------------------
% 79.54/12.05  % (2999155)------------------------------
% 79.54/12.05  % (2999157)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3942640361:i=134:gtgl=5:slsql=off:gtg=exists_sym_2976 on theBenchmark for (2976ds/134Mi)
% 79.54/12.05  % (2999157)Instruction limit reached! 
% 79.54/12.05  % (2999157)------------------------------
% 79.54/12.05  % (2999157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.54/12.05  % (2999157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.54/12.05  % (2999157)CaDiCaL version: 2.1.3
% 79.54/12.05  % (2999157)Termination reason: Instruction limit
% 79.54/12.05  % (2999157)Termination phase: Saturation
% 79.54/12.05  % (2999157)Time elapsed: 0.063 s
% 79.54/12.05  % (2999157)Peak memory usage: 92 MB
% 79.54/12.05  % (2999157)Instructions burned: 136 (million)
% 79.54/12.05  % (2999158)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2390994833:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/141Mi)
% 79.54/12.05  % (2999158)Refutation not found, incomplete strategy
% 79.54/12.05  % (2999158)------------------------------
% 79.54/12.05  % (2999158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.54/12.05  % (2999158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.54/12.05  % (2999158)CaDiCaL version: 2.1.3
% 79.54/12.05  % (2999158)Termination reason: Refutation not found, incomplete strategy
% 79.54/12.05  % (2999158)Time elapsed: 0.004 s
% 79.54/12.05  % (2999158)Peak memory usage: 89 MB
% 79.54/12.05  % (2999158)Instructions burned: 4 (million)
% 79.54/12.05  % (2999160)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=311264340:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2974 on theBenchmark for (2974ds/431Mi)
% 79.54/12.05  % (2999160)Refutation not found, incomplete strategy
% 79.54/12.05  % (2999160)------------------------------
% 79.54/12.05  % (2999160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.54/12.05  % (2999160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.54/12.05  % (2999160)CaDiCaL version: 2.1.3
% 79.54/12.05  % (2999160)Termination reason: Refutation not found, incomplete strategy
% 79.54/12.05  % (2999160)Time elapsed: 0.006 s
% 79.54/12.05  % (2999160)Peak memory usage: 89 MB
% 79.54/12.05  % (2999160)Instructions burned: 8 (million)
% 79.54/12.05  % (2999158)------------------------------
% 79.54/12.05  % (2999158)------------------------------
% 79.54/12.05  % (2999160)------------------------------
% 79.54/12.05  % (2999160)------------------------------
% 79.54/12.05  % (2999163)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=3511716127:i=6060:aac=none:ins=25_2970 on theBenchmark for (2970ds/6060Mi)
% 94.37/14.15  % (2999164)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=3453160088:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2970 on theBenchmark for (2970ds/150Mi)
% 94.37/14.15  % (2999164)Instruction limit reached! 
% 94.37/14.15  % (2999164)------------------------------
% 94.37/14.15  % (2999164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 94.37/14.15  % (2999164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.37/14.15  % (2999164)CaDiCaL version: 2.1.3
% 94.37/14.15  % (2999164)Termination reason: Instruction limit
% 94.37/14.15  % (2999164)Termination phase: Saturation
% 94.37/14.15  % (2999164)Time elapsed: 0.070 s
% 94.37/14.15  % (2999164)Peak memory usage: 91 MB
% 94.37/14.15  % (2999164)Instructions burned: 150 (million)
% 94.37/14.15  % (2999168)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3941642027:i=14155:bd=all_2967 on theBenchmark for (2967ds/14155Mi)
% 94.37/14.15  % (2999146)Instruction limit reached! 
% 94.37/14.15  % (2999146)------------------------------
% 94.37/14.15  % (2999146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 94.37/14.15  % (2999146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.37/14.15  % (2999146)CaDiCaL version: 2.1.3
% 94.37/14.15  % (2999146)Termination reason: Instruction limit
% 94.37/14.15  % (2999146)Termination phase: Saturation
% 94.37/14.15  % (2999146)Time elapsed: 3.317 s
% 94.37/14.15  % (2999146)Peak memory usage: 161 MB
% 94.37/14.15  % (2999146)Instructions burned: 5203 (million)
% 94.37/14.15  % (2999170)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2959987011:i=667:av=off:fsr=off_2953 on theBenchmark for (2953ds/667Mi)
% 94.37/14.15  % (2999170)Instruction limit reached! 
% 94.37/14.15  % (2999170)------------------------------
% 94.37/14.15  % (2999170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 94.37/14.15  % (2999170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.37/14.15  % (2999170)CaDiCaL version: 2.1.3
% 94.37/14.15  % (2999170)Termination reason: Instruction limit
% 94.37/14.15  % (2999170)Termination phase: Saturation
% 94.37/14.15  % (2999170)Time elapsed: 0.313 s
% 94.37/14.15  % (2999170)Peak memory usage: 99 MB
% 94.37/14.15  % (2999170)Instructions burned: 669 (million)
% 94.37/14.15  % (2999172)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2718767559:s2a=on:i=185:s2at=1.8:fdi=4_2948 on theBenchmark for (2948ds/185Mi)
% 94.37/14.15  % (2999172)Instruction limit reached! 
% 94.37/14.15  % (2999172)------------------------------
% 94.37/14.15  % (2999172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 94.37/14.15  % (2999172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.37/14.15  % (2999172)CaDiCaL version: 2.1.3
% 94.37/14.15  % (2999172)Termination reason: Instruction limit
% 94.37/14.15  % (2999172)Termination phase: Saturation
% 94.37/14.15  % (2999172)Time elapsed: 0.079 s
% 94.37/14.15  % (2999172)Peak memory usage: 91 MB
% 94.37/14.15  % (2999172)Instructions burned: 188 (million)
% 94.37/14.15  % (2999174)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=4286666283:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2946 on theBenchmark for (2946ds/193Mi)
% 94.37/14.15  % (2999174)Refutation not found, incomplete strategy
% 94.37/14.15  % (2999174)------------------------------
% 94.37/14.15  % (2999174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 94.37/14.15  % (2999174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.37/14.15  % (2999174)CaDiCaL version: 2.1.3
% 94.37/14.15  % (2999174)Termination reason: Refutation not found, incomplete strategy
% 94.37/14.15  % (2999174)Time elapsed: 0.007 s
% 94.37/14.15  % (2999174)Peak memory usage: 89 MB
% 94.37/14.15  % (2999174)Instructions burned: 8 (million)
% 94.37/14.15  % (2999174)------------------------------
% 94.37/14.15  % (2999174)------------------------------
% 94.37/14.15  % (2999176)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1297887098:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2942 on theBenchmark for (2942ds/4850Mi)
% 94.37/14.15  % (2999163)Instruction limit reached! 
% 94.37/14.15  % (2999163)------------------------------
% 114.93/17.13  % (2999163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 114.93/17.13  % (2999163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 114.93/17.13  % (2999163)CaDiCaL version: 2.1.3
% 114.93/17.13  % (2999163)Termination reason: Instruction limit
% 114.93/17.13  % (2999163)Termination phase: Saturation
% 114.93/17.13  % (2999163)Time elapsed: 4.012 s
% 114.93/17.13  % (2999163)Peak memory usage: 173 MB
% 114.93/17.13  % (2999163)Instructions burned: 6062 (million)
% 114.93/17.13  % (2999178)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3004338543:i=12111:sd=1:ss=included_2928 on theBenchmark for (2928ds/12111Mi)
% 114.93/17.13  % (2999176)Instruction limit reached! 
% 114.93/17.13  % (2999176)------------------------------
% 114.93/17.13  % (2999176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 114.93/17.13  % (2999176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 114.93/17.13  % (2999176)CaDiCaL version: 2.1.3
% 114.93/17.13  % (2999176)Termination reason: Instruction limit
% 114.93/17.13  % (2999176)Termination phase: Saturation
% 114.93/17.13  % (2999176)Time elapsed: 3.121 s
% 114.93/17.13  % (2999176)Peak memory usage: 153 MB
% 114.93/17.13  % (2999176)Instructions burned: 4851 (million)
% 114.93/17.13  % (2999180)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1373443905:i=319:kws=precedence:fsr=off_2909 on theBenchmark for (2909ds/319Mi)
% 114.93/17.13  % (2999180)Instruction limit reached! 
% 114.93/17.13  % (2999180)------------------------------
% 114.93/17.13  % (2999180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 114.93/17.13  % (2999180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 114.93/17.13  % (2999180)CaDiCaL version: 2.1.3
% 114.93/17.13  % (2999180)Termination reason: Instruction limit
% 114.93/17.13  % (2999180)Termination phase: Saturation
% 114.93/17.13  % (2999180)Time elapsed: 0.163 s
% 114.93/17.13  % (2999180)Peak memory usage: 93 MB
% 114.93/17.13  % (2999180)Instructions burned: 319 (million)
% 114.93/17.13  % (2999182)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=941620885:i=2064:ep=RST_2905 on theBenchmark for (2905ds/2064Mi)
% 114.93/17.13  % (2999182)Refutation not found, incomplete strategy
% 114.93/17.13  % (2999182)------------------------------
% 114.93/17.13  % (2999182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 114.93/17.13  % (2999182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 114.93/17.13  % (2999182)CaDiCaL version: 2.1.3
% 114.93/17.13  % (2999182)Termination reason: Refutation not found, incomplete strategy
% 114.93/17.13  % (2999182)Time elapsed: 0.052 s
% 114.93/17.13  % (2999182)Peak memory usage: 91 MB
% 114.93/17.13  % (2999182)Instructions burned: 114 (million)
% 114.93/17.13  % (2999182)------------------------------
% 114.93/17.13  % (2999182)------------------------------
% 114.93/17.13  % (2999184)dis-1011_128_sil=32000:random_seed=1724171895:i=3706:ep=RST:av=off_2901 on theBenchmark for (2901ds/3706Mi)
% 114.93/17.13  % (2999152)Instruction limit reached! 
% 114.93/17.13  % (2999152)------------------------------
% 114.93/17.13  % (2999152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 114.93/17.13  % (2999152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 114.93/17.13  % (2999152)CaDiCaL version: 2.1.3
% 114.93/17.13  % (2999152)Termination reason: Instruction limit
% 114.93/17.13  % (2999152)Termination phase: Saturation
% 114.93/17.13  % (2999152)Time elapsed: 8.727 s
% 114.93/17.13  % (2999152)Peak memory usage: 223 MB
% 114.93/17.13  % (2999152)Instructions burned: 13193 (million)
% 114.93/17.13  % (2999186)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=3850772320:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2893 on theBenchmark for (2893ds/757Mi)
% 114.93/17.13  % (2999186)Refutation not found, incomplete strategy
% 114.93/17.13  % (2999186)------------------------------
% 114.93/17.13  % (2999186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 114.93/17.13  % (2999186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 114.93/17.13  % (2999186)CaDiCaL version: 2.1.3
% 114.93/17.13  % (2999186)Termination reason: Refutation not found, incomplete strategy
% 114.93/17.13  % (2999186)Time elapsed: 0.009 s
% 114.93/17.13  % (2999186)Peak memory usage: 89 MB
% 114.93/17.13  % (2999186)Instructions burned: 14 (million)
% 114.93/17.13  % (2999186)------------------------------
% 114.93/17.13  % (2999186)------------------------------
% 114.93/17.13  % (2999188)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=800178473:i=13913:ss=axioms:sgt=8_2889 on theBenchmark for (2889ds/13913Mi)
% 110.73/19.13  % (2999168)Instruction limit reached! 
% 110.73/19.13  % (2999168)------------------------------
% 110.73/19.13  % (2999168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.73/19.13  % (2999168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.73/19.13  % (2999168)CaDiCaL version: 2.1.3
% 110.73/19.13  % (2999168)Termination reason: Instruction limit
% 110.73/19.13  % (2999168)Termination phase: Saturation
% 110.73/19.13  % (2999168)Time elapsed: 7.921 s
% 110.73/19.13  % (2999168)Peak memory usage: 219 MB
% 110.73/19.13  % (2999168)Instructions burned: 14156 (million)
% 110.73/19.13  % (2999190)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=3367395092:i=9925:aac=none_2886 on theBenchmark for (2886ds/9925Mi)
% 110.73/19.13  % (2999188)Refutation not found, incomplete strategy
% 110.73/19.13  % (2999188)------------------------------
% 110.73/19.13  % (2999188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.73/19.13  % (2999188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.73/19.13  % (2999188)CaDiCaL version: 2.1.3
% 110.73/19.13  % (2999188)Termination reason: Refutation not found, incomplete strategy
% 110.73/19.13  % (2999188)Time elapsed: 0.589 s
% 110.73/19.13  % (2999188)Peak memory usage: 130 MB
% 110.73/19.13  % (2999188)Instructions burned: 881 (million)
% 110.73/19.13  % (2999188)------------------------------
% 110.73/19.13  % (2999188)------------------------------
% 110.73/19.13  % (2999184)Instruction limit reached! 
% 110.73/19.13  % (2999184)------------------------------
% 110.73/19.13  % (2999184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.73/19.13  % (2999184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.73/19.13  % (2999184)CaDiCaL version: 2.1.3
% 110.73/19.13  % (2999184)Termination reason: Instruction limit
% 110.73/19.13  % (2999184)Termination phase: Saturation
% 110.73/19.13  % (2999184)Time elapsed: 2.147 s
% 110.73/19.13  % (2999184)Peak memory usage: 113 MB
% 110.73/19.13  % (2999184)Instructions burned: 3707 (million)
% 110.73/19.13  % (2999192)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=3074728714:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2879 on theBenchmark for (2879ds/2479Mi)
% 110.73/19.13  % (2999192)Refutation not found, incomplete strategy
% 110.73/19.13  % (2999192)------------------------------
% 110.73/19.13  % (2999192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.73/19.13  % (2999192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.73/19.13  % (2999192)CaDiCaL version: 2.1.3
% 110.73/19.13  % (2999192)Termination reason: Refutation not found, incomplete strategy
% 110.73/19.13  % (2999192)Time elapsed: 0.006 s
% 110.73/19.13  % (2999192)Peak memory usage: 89 MB
% 110.73/19.13  % (2999192)Instructions burned: 7 (million)
% 110.73/19.13  % (2999193)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=1070462325:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2878 on theBenchmark for (2878ds/440Mi)
% 110.73/19.13  % (2999192)------------------------------
% 110.73/19.13  % (2999192)------------------------------
% 110.73/19.13  % (2999193)Instruction limit reached! 
% 110.73/19.13  % (2999193)------------------------------
% 110.73/19.13  % (2999193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.73/19.13  % (2999193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.73/19.13  % (2999193)CaDiCaL version: 2.1.3
% 110.73/19.13  % (2999193)Termination reason: Instruction limit
% 110.73/19.13  % (2999193)Termination phase: Saturation
% 110.73/19.13  % (2999193)Time elapsed: 0.164 s
% 110.73/19.13  % (2999193)Peak memory usage: 90 MB
% 110.73/19.13  % (2999193)Instructions burned: 442 (million)
% 110.73/19.13  % (2999197)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=784139381:cts=off:i=3034:av=off:er=known:fsd=on_2874 on theBenchmark for (2874ds/3034Mi)
% 110.73/19.13  % (2999196)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=1600219924:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2874 on theBenchmark for (2874ds/11145Mi)
% 110.73/19.13  % (2999196)Refutation not found, incomplete strategy
% 110.73/19.13  % (2999196)------------------------------
% 110.73/19.13  % (2999196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.73/19.13  % (2999196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.73/19.13  % (2999196)CaDiCaL version: 2.1.3
% 110.73/19.13  % (2999196)Termination reason: Refutation not found, incomplete strategy
% 110.73/19.13  % (2999196)Time elapsed: 0.618 s
% 110.73/19.13  % (2999196)Peak memory usage: 130 MB
% 110.73/19.13  % (2999196)Instructions burned: 927 (million)
% 110.73/19.13  % (2999196)------------------------------
% 110.73/19.13  % (2999196)------------------------------
% 110.73/19.13  % (2999341)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=3544366868:st=2:s2a=on:i=524:s2at=2:ss=axioms_2864 on theBenchmark for (2864ds/524Mi)
% 110.73/19.13  % (2999341)Instruction limit reached! 
% 110.73/19.13  % (2999341)------------------------------
% 110.73/19.13  % (2999341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.73/19.13  % (2999341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.73/19.13  % (2999341)CaDiCaL version: 2.1.3
% 110.73/19.13  % (2999341)Termination reason: Instruction limit
% 110.73/19.13  % (2999341)Termination phase: Saturation
% 110.73/19.13  % (2999341)Time elapsed: 0.289 s
% 110.73/19.13  % (2999341)Peak memory usage: 94 MB
% 110.73/19.13  % (2999341)Instructions burned: 525 (million)
% 110.73/19.13  % (2999430)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=3026909548:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2859 on theBenchmark for (2859ds/1016Mi)
% 110.73/19.13  % (2999430)Refutation not found, incomplete strategy
% 110.73/19.13  % (2999430)------------------------------
% 110.73/19.13  % (2999430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.73/19.13  % (2999430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.73/19.13  % (2999430)CaDiCaL version: 2.1.3
% 110.73/19.13  % (2999430)Termination reason: Refutation not found, incomplete strategy
% 110.73/19.13  % (2999430)Time elapsed: 0.007 s
% 110.73/19.13  % (2999430)Peak memory usage: 89 MB
% 110.73/19.13  % (2999430)Instructions burned: 4 (million)
% 110.73/19.13  % (2999178)Instruction limit reached! 
% 110.73/19.13  % (2999178)------------------------------
% 110.73/19.13  % (2999178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.73/19.13  % (2999178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.73/19.13  % (2999178)CaDiCaL version: 2.1.3
% 110.73/19.13  % (2999178)Termination reason: Instruction limit
% 110.73/19.13  % (2999178)Termination phase: Saturation
% 110.73/19.13  % (2999178)Time elapsed: 7.203 s
% 110.73/19.13  % (2999178)Peak memory usage: 239 MB
% 110.73/19.13  % (2999178)Instructions burned: 12111 (million)
% 110.73/19.13  % (2999430)------------------------------
% 110.73/19.13  % (2999430)------------------------------
% 110.73/19.13  % (2999197)Instruction limit reached! 
% 110.73/19.13  % (2999197)------------------------------
% 110.73/19.13  % (2999197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.73/19.13  % (2999197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.73/19.13  % (2999197)CaDiCaL version: 2.1.3
% 110.73/19.13  % (2999197)Termination reason: Instruction limit
% 110.73/19.13  % (2999197)Termination phase: Saturation
% 110.73/19.13  % (2999197)Time elapsed: 1.919 s
% 110.73/19.13  % (2999197)Peak memory usage: 152 MB
% 110.73/19.13  % (2999197)Instructions burned: 3034 (million)
% 110.73/19.13  % (2999464)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=3458808140:i=5781:kws=precedence:bd=all:rawr=on_2853 on theBenchmark for (2853ds/5781Mi)
% 110.73/19.13  % (2999463)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=1704598469:i=14123:bd=preordered:ins=4_2854 on theBenchmark for (2854ds/14123Mi)
% 110.73/19.13  % (2999465)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=3278759565:i=2448:gtgl=5:bd=preordered:gtg=all_2853 on theBenchmark for (2853ds/2448Mi)
% 110.73/19.13  % (2999465)Instruction limit reached! 
% 110.73/19.13  % (2999465)------------------------------
% 110.73/19.13  % (2999465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.73/19.13  % (2999465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.73/19.13  % (2999465)CaDiCaL version: 2.1.3
% 110.73/19.13  % (2999465)Termination reason: Instruction limit
% 110.73/19.13  % (2999465)Termination phase: Saturation
% 110.73/19.13  % (2999465)Time elapsed: 1.379 s
% 110.73/19.13  % (2999465)Peak memory usage: 148 MB
% 110.73/19.13  % (2999465)Instructions burned: 2448 (million)
% 110.73/19.13  % (2999464)Instruction limit reached! 
% 110.73/19.13  % (2999464)------------------------------
% 110.73/19.13  % (2999464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.73/19.13  % (2999464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.73/19.13  % (2999464)CaDiCaL version: 2.1.3
% 110.73/19.13  % (2999464)Termination reason: Instruction limit
% 110.73/19.13  % (2999464)Termination phase: Saturation
% 110.73/19.13  % (2999464)Time elapsed: 1.548 s
% 110.73/19.13  % (2999464)Peak memory usage: 124 MB
% 110.73/19.13  % (2999464)Instructions burned: 5785 (million)
% 110.73/19.13  % (2999469)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=2760967429:i=3223:kws=precedence:fgj=on:av=off_2837 on theBenchmark for (2837ds/3223Mi)
% 110.73/19.13  % (2999470)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=2337340757:st=5.6:i=2033:sd=3:ss=axioms_2837 on theBenchmark for (2837ds/2033Mi)
% 110.73/19.13  % (2999470)Refutation not found, incomplete strategy
% 110.73/19.13  % (2999470)------------------------------
% 110.73/19.13  % (2999470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.73/19.13  % (2999470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.73/19.13  % (2999470)CaDiCaL version: 2.1.3
% 110.73/19.13  % (2999470)Termination reason: Refutation not found, incomplete strategy
% 110.73/19.13  % (2999470)Time elapsed: 0.383 s
% 110.73/19.13  % (2999470)Peak memory usage: 134 MB
% 110.73/19.13  % (2999470)Instructions burned: 975 (million)
% 110.73/19.13  % (2999470)------------------------------
% 110.73/19.13  % (2999470)------------------------------
% 110.73/19.13  % (2999473)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=2625229837:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2830 on theBenchmark for (2830ds/2055Mi)
% 110.73/19.13  % (2999190)Instruction limit reached! 
% 110.73/19.13  % (2999190)------------------------------
% 110.73/19.13  % (2999190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.73/19.13  % (2999190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.73/19.13  % (2999190)CaDiCaL version: 2.1.3
% 110.73/19.13  % (2999190)Termination reason: Instruction limit
% 110.73/19.13  % (2999190)Termination phase: Saturation
% 110.73/19.13  % (2999190)Time elapsed: 5.871 s
% 110.73/19.13  % (2999190)Peak memory usage: 211 MB
% 110.73/19.13  % (2999190)Instructions burned: 9926 (million)
% 110.73/19.13  % (2999473)Refutation not found, incomplete strategy
% 110.73/19.13  % (2999473)------------------------------
% 110.73/19.13  % (2999473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.73/19.13  % (2999473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.73/19.13  % (2999473)CaDiCaL version: 2.1.3
% 110.73/19.13  % (2999473)Termination reason: Refutation not found, incomplete strategy
% 110.73/19.13  % (2999473)Time elapsed: 0.357 s
% 110.73/19.13  % (2999473)Peak memory usage: 130 MB
% 110.73/19.13  % (2999473)Instructions burned: 892 (million)
% 110.73/19.13  % (2999475)dis+1010_1_ncem=casc2026/models/loop7.pt:sil=64000:tgt=full:npcc=on:fde=unused:sp=const_frequency:spb=goal:acc=on:random_seed=4019545906:i=21611:sd=3:ss=axioms_2826 on theBenchmark for (2826ds/21611Mi)
% 110.73/19.13  % (2999473)------------------------------
% 110.73/19.13  % (2999473)------------------------------
% 110.73/19.13  % (2999475)Refutation not found, incomplete strategy
% 110.73/19.13  % (2999475)------------------------------
% 110.73/19.13  % (2999475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.73/19.13  % (2999475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.73/19.13  % (2999475)CaDiCaL version: 2.1.3
% 110.73/19.13  % (2999475)Termination reason: Refutation not found, incomplete strategy
% 110.73/19.13  % (2999475)Time elapsed: 0.362 s
% 110.73/19.13  % (2999475)Peak memory usage: 129 MB
% 110.73/19.13  % (2999475)Instructions burned: 923 (million)
% 110.73/19.13  % (2999477)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=1794100014:i=4835:sd=13:ss=axioms:sgt=23_2822 on theBenchmark for (2822ds/4835Mi)
% 110.73/19.13  % (2999113)First to succeed.
% 110.73/19.13  % (2999113)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2999057"
% 110.73/19.13  % (2999475)------------------------------
% 110.73/19.13  % (2999475)------------------------------
% 110.73/19.13  % (2999479)lrs+10_1_to=lpo:sil=32000:plsq=on:plsqc=1:bsd=on:plsqr=64,1:sp=reverse_frequency:bsr=unit_only:plsql=on:fd=off:slsqc=4:newcnf=on:slsq=on:random_seed=2204612952:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2819 on theBenchmark for (2819ds/797Mi)
% 110.73/19.13  % (2999113)Refutation found. Thanks to Tanya!
% 110.73/19.13  % SZS status Theorem for theBenchmark
% 110.73/19.13  % SZS output start Proof for theBenchmark
% See solution above
% 129.72/19.33  % (2999113)------------------------------
% 129.72/19.33  % (2999113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.72/19.33  % (2999113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.72/19.33  % (2999113)CaDiCaL version: 2.1.3
% 129.72/19.33  % (2999113)Termination reason: Refutation
% 129.72/19.33  % (2999113)Time elapsed: 17.730 s
% 129.72/19.33  % (2999113)Peak memory usage: 375 MB
% 129.72/19.33  % (2999113)Instructions burned: 28937 (million)
% 129.72/19.33  % (2999113)------------------------------
% 129.72/19.33  % (2999113)------------------------------
% 129.72/19.33  % (2999057)Success in time 18.291 s
% 129.72/19.33  % Vampire exiting
%------------------------------------------------------------------------------