TSTP Solution File: NUM736+4 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : NUM736+4 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 11:32:40 EDT 2023

% Result   : Theorem 28.94s 4.77s
% Output   : CNFRefutation 28.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   79 (   9 unt;   0 def)
%            Number of atoms       :  213 (   3 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  215 (  81   ~;  79   |;  26   &)
%                                         (  20 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;  13 con; 0-2 aty)
%            Number of variables   :  131 (   0 sgn;  94   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f31,axiom,
    ! [X3,X4] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X3),X4))
    <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X3)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X4))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X4)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X3)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__lessf) ).

fof(f32,axiom,
    ! [X3,X4] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X3),X4))
    <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X3)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X4))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X4)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X3)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__moref) ).

fof(f64,axiom,
    ! [X3] : scratc128556792d_n_ts(X3) = aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,X3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__n__ts) ).

fof(f77,axiom,
    ! [X3,X4] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X3),X4))
    <=> pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X4),X3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__iii) ).

fof(f78,axiom,
    ! [X3,X4] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X3),X4))
    <=> pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X3),X4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__d__29__ii) ).

fof(f196,axiom,
    ! [X3,X4] :
      ( pp(aa_fun171081125l_bool(scratc1668550563all_of(X3),X4))
    <=> ! [X11] :
          ( gg_TPTP_ind(X11)
         => ( scratc1458855606_is_of(X11,X3)
           => pp(aa_TPTP_ind_bool(X4,X11)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__all__of) ).

fof(f539,axiom,
    ! [X24] :
      ( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X24))
    <=> pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X24))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__140) ).

fof(f578,axiom,
    ! [X24,X25] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ne,X24),X25))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X24),X25))
       => pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X25),X24)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__179) ).

fof(f581,axiom,
    ! [X24,X25] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X24),X25))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X24),X25))
       => pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X25),X24)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__182) ).

fof(f841,conjecture,
    pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aTP_Lamm_ab)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

fof(f842,negated_conjecture,
    ~ pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aTP_Lamm_ab)),
    inference(negated_conjecture,[],[f841]) ).

fof(f843,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X0),X1))
    <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0)))) ),
    inference(rectify,[],[f31]) ).

fof(f844,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1))
    <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0)))) ),
    inference(rectify,[],[f32]) ).

fof(f866,plain,
    ! [X0] : scratc128556792d_n_ts(X0) = aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,X0)),
    inference(rectify,[],[f64]) ).

fof(f878,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X0),X1))
    <=> pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X1),X0))) ),
    inference(rectify,[],[f77]) ).

fof(f879,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1))
    <=> pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X0),X1))) ),
    inference(rectify,[],[f78]) ).

fof(f983,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1))
    <=> ! [X2] :
          ( gg_TPTP_ind(X2)
         => ( scratc1458855606_is_of(X2,X0)
           => pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
    inference(rectify,[],[f196]) ).

fof(f1185,plain,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
    <=> pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
    inference(rectify,[],[f539]) ).

fof(f1224,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ne,X0),X1))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1))
       => pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X1),X0)) ) ),
    inference(rectify,[],[f578]) ).

fof(f1227,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1))
       => pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X1),X0)) ) ),
    inference(rectify,[],[f581]) ).

fof(f1485,plain,
    ~ pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aTP_Lamm_ab)),
    inference(flattening,[],[f842]) ).

fof(f1502,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1))
    <=> ! [X2] :
          ( pp(aa_TPTP_ind_bool(X1,X2))
          | ~ scratc1458855606_is_of(X2,X0)
          | ~ gg_TPTP_ind(X2) ) ),
    inference(ennf_transformation,[],[f983]) ).

fof(f1503,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1))
    <=> ! [X2] :
          ( pp(aa_TPTP_ind_bool(X1,X2))
          | ~ scratc1458855606_is_of(X2,X0)
          | ~ gg_TPTP_ind(X2) ) ),
    inference(flattening,[],[f1502]) ).

fof(f1576,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ne,X0),X1))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X1),X0))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1)) ) ),
    inference(ennf_transformation,[],[f1224]) ).

fof(f1579,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X1),X0))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1)) ) ),
    inference(ennf_transformation,[],[f1227]) ).

fof(f1707,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0)))) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X0),X1)) ) ),
    inference(nnf_transformation,[],[f843]) ).

fof(f1708,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0)))) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1)) ) ),
    inference(nnf_transformation,[],[f844]) ).

fof(f1722,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X0),X1))
        | ~ pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X1),X0))) )
      & ( pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X1),X0)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X0),X1)) ) ),
    inference(nnf_transformation,[],[f878]) ).

fof(f1723,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1))
        | ~ pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X0),X1))) )
      & ( pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X0),X1)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1)) ) ),
    inference(nnf_transformation,[],[f879]) ).

fof(f1797,plain,
    ! [X0,X1] :
      ( ( pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1))
        | ? [X2] :
            ( ~ pp(aa_TPTP_ind_bool(X1,X2))
            & scratc1458855606_is_of(X2,X0)
            & gg_TPTP_ind(X2) ) )
      & ( ! [X2] :
            ( pp(aa_TPTP_ind_bool(X1,X2))
            | ~ scratc1458855606_is_of(X2,X0)
            | ~ gg_TPTP_ind(X2) )
        | ~ pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1)) ) ),
    inference(nnf_transformation,[],[f1503]) ).

fof(f1798,plain,
    ! [X0,X1] :
      ( ( pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1))
        | ? [X2] :
            ( ~ pp(aa_TPTP_ind_bool(X1,X2))
            & scratc1458855606_is_of(X2,X0)
            & gg_TPTP_ind(X2) ) )
      & ( ! [X3] :
            ( pp(aa_TPTP_ind_bool(X1,X3))
            | ~ scratc1458855606_is_of(X3,X0)
            | ~ gg_TPTP_ind(X3) )
        | ~ pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1)) ) ),
    inference(rectify,[],[f1797]) ).

fof(f1799,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ pp(aa_TPTP_ind_bool(X1,X2))
          & scratc1458855606_is_of(X2,X0)
          & gg_TPTP_ind(X2) )
     => ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
        & scratc1458855606_is_of(sK12(X0,X1),X0)
        & gg_TPTP_ind(sK12(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1800,plain,
    ! [X0,X1] :
      ( ( pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1))
        | ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
          & scratc1458855606_is_of(sK12(X0,X1),X0)
          & gg_TPTP_ind(sK12(X0,X1)) ) )
      & ( ! [X3] :
            ( pp(aa_TPTP_ind_bool(X1,X3))
            | ~ scratc1458855606_is_of(X3,X0)
            | ~ gg_TPTP_ind(X3) )
        | ~ pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f1798,f1799]) ).

fof(f1967,plain,
    ! [X0] :
      ( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
        | ~ pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) )
      & ( pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
        | ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ) ),
    inference(nnf_transformation,[],[f1185]) ).

fof(f2021,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ne,X0),X1))
        | ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X1),X0))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1)) ) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X1),X0))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ne,X0),X1)) ) ),
    inference(nnf_transformation,[],[f1576]) ).

fof(f2022,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ne,X0),X1))
        | ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X1),X0))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1)) ) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X1),X0))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ne,X0),X1)) ) ),
    inference(flattening,[],[f2021]) ).

fof(f2027,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
        | ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X1),X0))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1)) ) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X1),X0))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
    inference(nnf_transformation,[],[f1579]) ).

fof(f2028,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
        | ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X1),X0))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1)) ) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X1),X0))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
    inference(flattening,[],[f2027]) ).

fof(f2377,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X0),X1))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0)))) ),
    inference(cnf_transformation,[],[f1707]) ).

fof(f2378,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0))))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1)) ),
    inference(cnf_transformation,[],[f1708]) ).

fof(f2415,plain,
    ! [X0] : scratc128556792d_n_ts(X0) = aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,X0)),
    inference(cnf_transformation,[],[f866]) ).

fof(f2438,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X0),X1))
      | ~ pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X1),X0))) ),
    inference(cnf_transformation,[],[f1722]) ).

fof(f2439,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X0),X1)))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1)) ),
    inference(cnf_transformation,[],[f1723]) ).

fof(f2628,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1))
      | ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1))) ),
    inference(cnf_transformation,[],[f1800]) ).

fof(f3142,plain,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
      | ~ pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
    inference(cnf_transformation,[],[f1967]) ).

fof(f3230,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X1),X0))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ne,X0),X1)) ),
    inference(cnf_transformation,[],[f2022]) ).

fof(f3240,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
      | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1)) ),
    inference(cnf_transformation,[],[f2028]) ).

fof(f3241,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X1),X0)) ),
    inference(cnf_transformation,[],[f2028]) ).

fof(f3853,plain,
    ~ pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aTP_Lamm_ab)),
    inference(cnf_transformation,[],[f1485]) ).

fof(f3860,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X0),X1))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0)))) ),
    inference(definition_unfolding,[],[f2377,f2415,f2415]) ).

fof(f3863,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0))))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1)) ),
    inference(definition_unfolding,[],[f2378,f2415,f2415]) ).

cnf(c_79,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0))))
    | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X0),X1)) ),
    inference(cnf_transformation,[],[f3860]) ).

cnf(c_82,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1))
    | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0)))) ),
    inference(cnf_transformation,[],[f3863]) ).

cnf(c_136,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X0),X1)))
    | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X1),X0)) ),
    inference(cnf_transformation,[],[f2438]) ).

cnf(c_139,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1))
    | pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X0),X1))) ),
    inference(cnf_transformation,[],[f2439]) ).

cnf(c_306,plain,
    ( ~ pp(aa_TPTP_ind_bool(X0,sK12(X1,X0)))
    | pp(aa_fun171081125l_bool(scratc1668550563all_of(X1),X0)) ),
    inference(cnf_transformation,[],[f2628]) ).

cnf(c_821,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
    | pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
    inference(cnf_transformation,[],[f3142]) ).

cnf(c_912,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1))
    | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ne,X0),X1))
    | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X1),X0)) ),
    inference(cnf_transformation,[],[f3230]) ).

cnf(c_919,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X0),X1))
    | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X1),X0)) ),
    inference(cnf_transformation,[],[f3241]) ).

cnf(c_920,plain,
    ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1))
    | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
    inference(cnf_transformation,[],[f3240]) ).

cnf(c_1532,negated_conjecture,
    ~ pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aTP_Lamm_ab)),
    inference(cnf_transformation,[],[f3853]) ).

cnf(c_2797,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1))
    | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X1),X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_912,c_139,c_136]) ).

cnf(c_4216,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1))
    | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X1),X0)) ),
    inference(prop_impl_just,[status(thm)],[c_2797]) ).

cnf(c_16301,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0_14),X1_14))
    | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X1_14),X0_14)) ),
    inference(subtyping,[status(esa)],[c_4216]) ).

cnf(c_16869,plain,
    ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0_14),X1_14))
    | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0_14),X1_14)) ),
    inference(subtyping,[status(esa)],[c_920]) ).

cnf(c_16870,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X0_14),X1_14))
    | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X1_14),X0_14)) ),
    inference(subtyping,[status(esa)],[c_919]) ).

cnf(c_16950,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0_14)))
    | pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0_14)) ),
    inference(subtyping,[status(esa)],[c_821]) ).

cnf(c_17452,plain,
    ( ~ pp(aa_TPTP_ind_bool(X0_19,sK12(X1_19,X0_19)))
    | pp(aa_fun171081125l_bool(scratc1668550563all_of(X1_19),X0_19)) ),
    inference(subtyping,[status(esa)],[c_306]) ).

cnf(c_17635,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0_14),X1_14))
    | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0_14))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1_14))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1_14))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0_14)))) ),
    inference(subtyping,[status(esa)],[c_82]) ).

cnf(c_17638,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0_14))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1_14))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1_14))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0_14))))
    | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X0_14),X1_14)) ),
    inference(subtyping,[status(esa)],[c_79]) ).

cnf(c_31427,plain,
    ( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
    | pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aTP_Lamm_ab)) ),
    inference(instantiation,[status(thm)],[c_17452]) ).

cnf(c_32865,plain,
    ( ~ pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
    | pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
    inference(instantiation,[status(thm)],[c_16950]) ).

cnf(c_38847,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
    | pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))) ),
    inference(instantiation,[status(thm)],[c_17452]) ).

cnf(c_41797,plain,
    ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
    | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))) ),
    inference(instantiation,[status(thm)],[c_16869]) ).

cnf(c_41798,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
    | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))) ),
    inference(instantiation,[status(thm)],[c_16870]) ).

cnf(c_44483,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))))
    | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
    inference(instantiation,[status(thm)],[c_17638]) ).

cnf(c_47530,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
    | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))) ),
    inference(instantiation,[status(thm)],[c_16301]) ).

cnf(c_48425,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
    | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,sK12(aTP_Lamm_a,aTP_Lamm_ab))))) ),
    inference(instantiation,[status(thm)],[c_17635]) ).

cnf(c_48426,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_48425,c_47530,c_44483,c_41798,c_41797,c_38847,c_32865,c_31427,c_1532]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM736+4 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.15/0.35  % Computer : n016.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Fri Aug 25 12:47:10 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 28.94/4.77  % SZS status Started for theBenchmark.p
% 28.94/4.77  % SZS status Theorem for theBenchmark.p
% 28.94/4.77  
% 28.94/4.77  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 28.94/4.77  
% 28.94/4.77  ------  iProver source info
% 28.94/4.77  
% 28.94/4.77  git: date: 2023-05-31 18:12:56 +0000
% 28.94/4.77  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 28.94/4.77  git: non_committed_changes: false
% 28.94/4.77  git: last_make_outside_of_git: false
% 28.94/4.77  
% 28.94/4.77  ------ Parsing...
% 28.94/4.77  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 28.94/4.77  
% 28.94/4.77  ------ Preprocessing... sup_sim: 78  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e 
% 28.94/4.77  
% 28.94/4.77  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 28.94/4.77  
% 28.94/4.77  ------ Preprocessing... sf_s  rm: 1 0s  sf_e 
% 28.94/4.77  ------ Proving...
% 28.94/4.77  ------ Problem Properties 
% 28.94/4.77  
% 28.94/4.77  
% 28.94/4.77  clauses                                 1470
% 28.94/4.77  conjectures                             1
% 28.94/4.77  EPR                                     18
% 28.94/4.77  Horn                                    1287
% 28.94/4.77  unary                                   286
% 28.94/4.77  binary                                  1023
% 28.94/4.77  lits                                    2906
% 28.94/4.77  lits eq                                 130
% 28.94/4.77  fd_pure                                 0
% 28.94/4.77  fd_pseudo                               0
% 28.94/4.77  fd_cond                                 4
% 28.94/4.77  fd_pseudo_cond                          9
% 28.94/4.77  AC symbols                              0
% 28.94/4.77  
% 28.94/4.77  ------ Input Options Time Limit: Unbounded
% 28.94/4.77  
% 28.94/4.77  
% 28.94/4.77  ------ 
% 28.94/4.77  Current options:
% 28.94/4.77  ------ 
% 28.94/4.77  
% 28.94/4.77  
% 28.94/4.77  
% 28.94/4.77  
% 28.94/4.77  ------ Proving...
% 28.94/4.77  
% 28.94/4.77  
% 28.94/4.77  % SZS status Theorem for theBenchmark.p
% 28.94/4.77  
% 28.94/4.77  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 28.94/4.77  
% 28.94/4.78  
%------------------------------------------------------------------------------