TSTP Solution File: LAT376+1 by Beagle---0.9.51

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : LAT376+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n002.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 : Tue Aug 22 10:47:04 EDT 2023

% Result   : Theorem 40.54s 24.16s
% Output   : CNFRefutation 40.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   49
%            Number of leaves      :  126
% Syntax   : Number of formulae    :  325 ( 100 unt; 107 typ;   0 def)
%            Number of atoms       : 1014 (   3 equ)
%            Maximal formula atoms :   24 (   4 avg)
%            Number of connectives : 1307 ( 511   ~; 616   |; 143   &)
%                                         (   0 <=>;  37  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  171 (  93   >;  78   *;   0   +;   0  <<)
%            Number of predicates  :   58 (  56 usr;   1 prp; 0-6 aty)
%            Number of functors    :   51 (  51 usr;  14 con; 0-5 aty)
%            Number of variables   :   93 (;  93   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ m1_functor0 > r3_yellow20 > m3_pboole > v9_functor0 > v8_functor0 > v6_functor0 > v21_functor0 > v1_funct_2 > v16_functor0 > v14_functor0 > v12_functor0 > v11_functor0 > m2_relset_1 > m2_functor0 > m1_relset_1 > l2_functor0 > l1_functor0 > v3_altcat_2 > r2_hidden > r1_tarski > m1_subset_1 > m1_pboole > m1_altcat_2 > v9_altcat_1 > v6_altcat_1 > v5_membered > v4_yellow18 > v4_ordinal2 > v4_membered > v3_yellow21 > v3_yellow18 > v3_struct_0 > v3_membered > v2_yellow21 > v2_yellow18 > v2_setfam_1 > v2_membered > v2_funct_1 > v2_altcat_1 > v1_yellow21 > v1_xreal_0 > v1_xcmplx_0 > v1_xboole_0 > v1_relat_1 > v1_rat_1 > v1_membered > v1_int_1 > v1_funct_1 > v1_funcop_1 > v1_finset_1 > v1_altcat_2 > v12_altcat_1 > v11_altcat_1 > l2_altcat_1 > l1_struct_0 > l1_altcat_1 > g2_functor0 > u2_functor0 > u1_functor0 > k3_zfmisc_1 > k3_altcat_1 > k15_functor0 > g2_altcat_1 > k2_zfmisc_1 > k2_altcat_1 > #nlpp > u2_altcat_1 > u1_struct_0 > u1_altcat_1 > k9_waybel34 > k8_waybel34 > k7_waybel34 > k6_waybel34 > k5_waybel34 > k4_waybel34 > k1_zfmisc_1 > k1_xboole_0 > #skF_9 > #skF_7 > #skF_21 > #skF_6 > #skF_20 > #skF_18 > #skF_17 > #skF_24 > #skF_30 > #skF_15 > #skF_25 > #skF_19 > #skF_31 > #skF_3 > #skF_13 > #skF_16 > #skF_12 > #skF_8 > #skF_5 > #skF_28 > #skF_2 > #skF_10 > #skF_1 > #skF_26 > #skF_23 > #skF_14 > #skF_4 > #skF_11 > #skF_22 > #skF_29 > #skF_27

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(k4_waybel34,type,
    k4_waybel34: $i > $i ).

tff('#skF_9',type,
    '#skF_9': $i > $i ).

tff(u2_altcat_1,type,
    u2_altcat_1: $i > $i ).

tff(v6_altcat_1,type,
    v6_altcat_1: $i > $o ).

tff(m2_functor0,type,
    m2_functor0: ( $i * $i * $i ) > $o ).

tff('#skF_7',type,
    '#skF_7': $i > $i ).

tff(v3_altcat_2,type,
    v3_altcat_2: ( $i * $i ) > $o ).

tff(m2_relset_1,type,
    m2_relset_1: ( $i * $i * $i ) > $o ).

tff('#skF_21',type,
    '#skF_21': $i > $i ).

tff(m1_functor0,type,
    m1_functor0: ( $i * $i * $i * $i * $i * $i ) > $o ).

tff('#skF_6',type,
    '#skF_6': ( $i * $i ) > $i ).

tff('#skF_20',type,
    '#skF_20': $i ).

tff(v1_funct_1,type,
    v1_funct_1: $i > $o ).

tff(v2_funct_1,type,
    v2_funct_1: $i > $o ).

tff('#skF_18',type,
    '#skF_18': $i ).

tff(g2_altcat_1,type,
    g2_altcat_1: ( $i * $i * $i ) > $i ).

tff('#skF_17',type,
    '#skF_17': $i ).

tff('#skF_24',type,
    '#skF_24': $i > $i ).

tff(r2_hidden,type,
    r2_hidden: ( $i * $i ) > $o ).

tff(v11_functor0,type,
    v11_functor0: ( $i * $i * $i ) > $o ).

tff(v21_functor0,type,
    v21_functor0: ( $i * $i * $i ) > $o ).

tff('#skF_30',type,
    '#skF_30': ( $i * $i ) > $i ).

tff('#skF_15',type,
    '#skF_15': $i ).

tff('#skF_25',type,
    '#skF_25': $i ).

tff(l2_altcat_1,type,
    l2_altcat_1: $i > $o ).

tff(v1_int_1,type,
    v1_int_1: $i > $o ).

tff(k1_xboole_0,type,
    k1_xboole_0: $i ).

tff(u1_functor0,type,
    u1_functor0: ( $i * $i * $i ) > $i ).

tff(m1_pboole,type,
    m1_pboole: ( $i * $i ) > $o ).

tff(v16_functor0,type,
    v16_functor0: ( $i * $i * $i ) > $o ).

tff(k6_waybel34,type,
    k6_waybel34: $i > $i ).

tff(k5_waybel34,type,
    k5_waybel34: $i > $i ).

tff(k3_altcat_1,type,
    k3_altcat_1: ( $i * $i * $i ) > $i ).

tff('#skF_19',type,
    '#skF_19': $i ).

tff('#skF_31',type,
    '#skF_31': ( $i * $i ) > $i ).

tff(v6_functor0,type,
    v6_functor0: ( $i * $i * $i ) > $o ).

tff(k9_waybel34,type,
    k9_waybel34: $i > $i ).

tff('#skF_3',type,
    '#skF_3': ( $i * $i ) > $i ).

tff('#skF_13',type,
    '#skF_13': ( $i * $i ) > $i ).

tff(r1_tarski,type,
    r1_tarski: ( $i * $i ) > $o ).

tff(m1_relset_1,type,
    m1_relset_1: ( $i * $i * $i ) > $o ).

tff('#skF_16',type,
    '#skF_16': $i ).

tff(u2_functor0,type,
    u2_functor0: ( $i * $i * $i ) > $i ).

tff(v4_ordinal2,type,
    v4_ordinal2: $i > $o ).

tff(v4_yellow18,type,
    v4_yellow18: $i > $o ).

tff(l1_altcat_1,type,
    l1_altcat_1: $i > $o ).

tff(k7_waybel34,type,
    k7_waybel34: $i > $i ).

tff(v3_yellow18,type,
    v3_yellow18: $i > $o ).

tff('#skF_12',type,
    '#skF_12': ( $i * $i ) > $i ).

tff('#skF_8',type,
    '#skF_8': ( $i * $i * $i * $i * $i ) > $i ).

tff(k15_functor0,type,
    k15_functor0: ( $i * $i * $i ) > $i ).

tff('#skF_5',type,
    '#skF_5': $i ).

tff('#skF_28',type,
    '#skF_28': $i > $i ).

tff(v1_funct_2,type,
    v1_funct_2: ( $i * $i * $i ) > $o ).

tff(v8_functor0,type,
    v8_functor0: ( $i * $i * $i ) > $o ).

tff('#skF_2',type,
    '#skF_2': $i ).

tff(v3_membered,type,
    v3_membered: $i > $o ).

tff(v2_yellow18,type,
    v2_yellow18: $i > $o ).

tff('#skF_10',type,
    '#skF_10': ( $i * $i ) > $i ).

tff('#skF_1',type,
    '#skF_1': $i ).

tff(m3_pboole,type,
    m3_pboole: ( $i * $i * $i * $i ) > $o ).

tff(g2_functor0,type,
    g2_functor0: ( $i * $i * $i * $i ) > $i ).

tff(v1_xreal_0,type,
    v1_xreal_0: $i > $o ).

tff(v2_setfam_1,type,
    v2_setfam_1: $i > $o ).

tff(k2_altcat_1,type,
    k2_altcat_1: ( $i * $i ) > $i ).

tff(l2_functor0,type,
    l2_functor0: ( $i * $i * $i ) > $o ).

tff(k3_zfmisc_1,type,
    k3_zfmisc_1: ( $i * $i * $i ) > $i ).

tff(v5_membered,type,
    v5_membered: $i > $o ).

tff(k1_zfmisc_1,type,
    k1_zfmisc_1: $i > $i ).

tff(v9_functor0,type,
    v9_functor0: ( $i * $i * $i ) > $o ).

tff(l1_struct_0,type,
    l1_struct_0: $i > $o ).

tff(v14_functor0,type,
    v14_functor0: ( $i * $i * $i ) > $o ).

tff(v2_membered,type,
    v2_membered: $i > $o ).

tff(v1_membered,type,
    v1_membered: $i > $o ).

tff('#skF_26',type,
    '#skF_26': $i > $i ).

tff(v1_xcmplx_0,type,
    v1_xcmplx_0: $i > $o ).

tff('#skF_23',type,
    '#skF_23': ( $i * $i ) > $i ).

tff(v12_altcat_1,type,
    v12_altcat_1: $i > $o ).

tff('#skF_14',type,
    '#skF_14': ( $i * $i * $i ) > $i ).

tff(v1_relat_1,type,
    v1_relat_1: $i > $o ).

tff(k2_zfmisc_1,type,
    k2_zfmisc_1: ( $i * $i ) > $i ).

tff(l1_functor0,type,
    l1_functor0: ( $i * $i * $i ) > $o ).

tff('#skF_4',type,
    '#skF_4': $i ).

tff(v9_altcat_1,type,
    v9_altcat_1: $i > $o ).

tff('#skF_11',type,
    '#skF_11': $i > $i ).

tff('#skF_22',type,
    '#skF_22': $i ).

tff(v1_altcat_2,type,
    v1_altcat_2: $i > $o ).

tff(v2_altcat_1,type,
    v2_altcat_1: $i > $o ).

tff(r3_yellow20,type,
    r3_yellow20: ( $i * $i * $i * $i * $i ) > $o ).

tff(v12_functor0,type,
    v12_functor0: ( $i * $i * $i ) > $o ).

tff(v2_yellow21,type,
    v2_yellow21: $i > $o ).

tff('#skF_29',type,
    '#skF_29': $i ).

tff(v1_funcop_1,type,
    v1_funcop_1: $i > $o ).

tff(v11_altcat_1,type,
    v11_altcat_1: $i > $o ).

tff(m1_altcat_2,type,
    m1_altcat_2: ( $i * $i ) > $o ).

tff(v1_rat_1,type,
    v1_rat_1: $i > $o ).

tff('#skF_27',type,
    '#skF_27': ( $i * $i ) > $i ).

tff(v4_membered,type,
    v4_membered: $i > $o ).

tff(u1_struct_0,type,
    u1_struct_0: $i > $i ).

tff(v3_yellow21,type,
    v3_yellow21: $i > $o ).

tff(v1_xboole_0,type,
    v1_xboole_0: $i > $o ).

tff(k8_waybel34,type,
    k8_waybel34: $i > $i ).

tff(v1_finset_1,type,
    v1_finset_1: $i > $o ).

tff(u1_altcat_1,type,
    u1_altcat_1: $i > $i ).

tff(v3_struct_0,type,
    v3_struct_0: $i > $o ).

tff(v1_yellow21,type,
    v1_yellow21: $i > $o ).

tff(m1_subset_1,type,
    m1_subset_1: ( $i * $i ) > $o ).

tff(f_35,negated_conjecture,
    ~ ! [A] :
        ( ~ v2_setfam_1(A)
       => r3_yellow20(k5_waybel34(A),k4_waybel34(A),k7_waybel34(A),k9_waybel34(A),k8_waybel34(A)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_waybel34) ).

tff(f_1122,axiom,
    ! [A] :
      ( ~ v2_setfam_1(A)
     => ( v6_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
        & v8_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
        & v9_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
        & v11_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
        & v12_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
        & v14_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
        & v16_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
        & v21_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_waybel34) ).

tff(f_349,axiom,
    ! [A] :
      ( ~ v2_setfam_1(A)
     => ~ v1_xboole_0(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_setfam_1) ).

tff(f_801,axiom,
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ( ~ v3_struct_0(k8_waybel34(A))
        & v2_altcat_1(k8_waybel34(A))
        & v6_altcat_1(k8_waybel34(A))
        & v3_altcat_2(k8_waybel34(A),k4_waybel34(A))
        & m1_altcat_2(k8_waybel34(A),k4_waybel34(A)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_waybel34) ).

tff(f_778,axiom,
    ! [A] :
      ( ~ v2_setfam_1(A)
     => ( v9_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
        & v16_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
        & m2_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_waybel34) ).

tff(f_751,axiom,
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ( ~ v3_struct_0(k4_waybel34(A))
        & v2_altcat_1(k4_waybel34(A))
        & v6_altcat_1(k4_waybel34(A))
        & v11_altcat_1(k4_waybel34(A))
        & v12_altcat_1(k4_waybel34(A))
        & v2_yellow21(k4_waybel34(A))
        & l2_altcat_1(k4_waybel34(A)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_waybel34) ).

tff(f_1372,axiom,
    ! [A] :
      ( ~ v2_setfam_1(A)
     => ( ( k15_functor0(k4_waybel34(A),k5_waybel34(A),k6_waybel34(A)) = k7_waybel34(A) )
        & ( k15_functor0(k5_waybel34(A),k4_waybel34(A),k7_waybel34(A)) = k6_waybel34(A) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_waybel34) ).

tff(f_1446,axiom,
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_altcat_1(A)
        & v11_altcat_1(A)
        & v12_altcat_1(A)
        & l2_altcat_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_altcat_1(B)
            & v11_altcat_1(B)
            & v12_altcat_1(B)
            & l2_altcat_1(B) )
         => ! [C] :
              ( ( v16_functor0(C,A,B)
                & m2_functor0(C,A,B) )
             => ( v21_functor0(C,A,B)
               => ! [D] :
                    ( ( ~ v3_struct_0(D)
                      & v2_altcat_1(D)
                      & v3_altcat_2(D,A)
                      & m1_altcat_2(D,A) )
                   => ! [E] :
                        ( ( ~ v3_struct_0(E)
                          & v2_altcat_1(E)
                          & v3_altcat_2(E,B)
                          & m1_altcat_2(E,B) )
                       => ( r3_yellow20(A,B,C,D,E)
                         => r3_yellow20(B,A,k15_functor0(A,B,C),E,D) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_yellow20) ).

tff(f_1451,axiom,
    ! [A] :
      ( ~ v2_setfam_1(A)
     => r3_yellow20(k4_waybel34(A),k5_waybel34(A),k6_waybel34(A),k8_waybel34(A),k9_waybel34(A)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t56_waybel34) ).

tff(f_1091,axiom,
    ! [A] :
      ( ~ v2_setfam_1(A)
     => ( ~ v3_struct_0(k5_waybel34(A))
        & v2_altcat_1(k5_waybel34(A))
        & v6_altcat_1(k5_waybel34(A))
        & v9_altcat_1(k5_waybel34(A))
        & v11_altcat_1(k5_waybel34(A))
        & v12_altcat_1(k5_waybel34(A))
        & v1_altcat_2(k5_waybel34(A))
        & v2_yellow18(k5_waybel34(A))
        & v3_yellow18(k5_waybel34(A))
        & v4_yellow18(k5_waybel34(A))
        & v1_yellow21(k5_waybel34(A))
        & v2_yellow21(k5_waybel34(A))
        & v3_yellow21(k5_waybel34(A)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_waybel34) ).

tff(f_769,axiom,
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ( ~ v3_struct_0(k5_waybel34(A))
        & v2_altcat_1(k5_waybel34(A))
        & v6_altcat_1(k5_waybel34(A))
        & v11_altcat_1(k5_waybel34(A))
        & v12_altcat_1(k5_waybel34(A))
        & v2_yellow21(k5_waybel34(A))
        & l2_altcat_1(k5_waybel34(A)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_waybel34) ).

tff(f_815,axiom,
    ! [A] :
      ( ~ v2_setfam_1(A)
     => ( ~ v3_struct_0(k9_waybel34(A))
        & v2_altcat_1(k9_waybel34(A))
        & v6_altcat_1(k9_waybel34(A))
        & v3_altcat_2(k9_waybel34(A),k5_waybel34(A))
        & m1_altcat_2(k9_waybel34(A),k5_waybel34(A)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_waybel34) ).

tff(f_839,axiom,
    ! [A] :
      ( l2_altcat_1(A)
     => ! [B] :
          ( m1_altcat_2(B,A)
         => l2_altcat_1(B) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_altcat_2) ).

tff(f_566,axiom,
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_altcat_1(A)
        & v11_altcat_1(A)
        & v12_altcat_1(A)
        & v2_yellow18(A)
        & l2_altcat_1(A) )
     => ! [B] :
          ( m1_altcat_2(B,A)
         => ( ( ~ v3_struct_0(B)
              & v2_altcat_1(B)
              & v3_altcat_2(B,A) )
           => ( ~ v3_struct_0(B)
              & v2_altcat_1(B)
              & v11_altcat_1(B)
              & v12_altcat_1(B)
              & v1_altcat_2(B)
              & v3_altcat_2(B,A)
              & v2_yellow18(B) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_yellow21) ).

tff(f_634,axiom,
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_altcat_1(A)
        & v11_altcat_1(A)
        & v12_altcat_1(A)
        & v1_yellow21(A)
        & l2_altcat_1(A) )
     => ! [B] :
          ( m1_altcat_2(B,A)
         => ( ( ~ v3_struct_0(B)
              & v2_altcat_1(B)
              & v3_altcat_2(B,A) )
           => ( ~ v3_struct_0(B)
              & v2_altcat_1(B)
              & v11_altcat_1(B)
              & v12_altcat_1(B)
              & v1_altcat_2(B)
              & v3_altcat_2(B,A)
              & v1_yellow21(B) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc8_yellow21) ).

tff(f_682,axiom,
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_altcat_1(A)
        & v11_altcat_1(A)
        & v12_altcat_1(A)
        & v2_yellow21(A)
        & l2_altcat_1(A) )
     => ! [B] :
          ( m1_altcat_2(B,A)
         => ( ( ~ v3_struct_0(B)
              & v2_altcat_1(B)
              & v3_altcat_2(B,A) )
           => ( ~ v3_struct_0(B)
              & v2_altcat_1(B)
              & v9_altcat_1(B)
              & v11_altcat_1(B)
              & v12_altcat_1(B)
              & v1_altcat_2(B)
              & v3_altcat_2(B,A)
              & v2_yellow18(B)
              & v3_yellow18(B)
              & v4_yellow18(B)
              & v1_yellow21(B)
              & v2_yellow21(B) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc9_yellow21) ).

tff(f_122,axiom,
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_altcat_1(A)
        & v11_altcat_1(A)
        & v12_altcat_1(A)
        & v3_yellow21(A)
        & l2_altcat_1(A) )
     => ! [B] :
          ( m1_altcat_2(B,A)
         => ( ( ~ v3_struct_0(B)
              & v2_altcat_1(B)
              & v3_altcat_2(B,A) )
           => ( ~ v3_struct_0(B)
              & v2_altcat_1(B)
              & v9_altcat_1(B)
              & v11_altcat_1(B)
              & v12_altcat_1(B)
              & v1_altcat_2(B)
              & v3_altcat_2(B,A)
              & v2_yellow18(B)
              & v3_yellow18(B)
              & v4_yellow18(B)
              & v1_yellow21(B)
              & v2_yellow21(B)
              & v3_yellow21(B) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc11_yellow21) ).

tff(f_383,axiom,
    ! [A] :
      ( l2_altcat_1(A)
     => ( ( ~ v3_struct_0(A)
          & v2_altcat_1(A)
          & v11_altcat_1(A)
          & v12_altcat_1(A)
          & v2_yellow21(A) )
       => ( ~ v3_struct_0(A)
          & v2_altcat_1(A)
          & v9_altcat_1(A)
          & v11_altcat_1(A)
          & v12_altcat_1(A)
          & v1_altcat_2(A)
          & v2_yellow18(A)
          & v3_yellow18(A)
          & v4_yellow18(A)
          & v1_yellow21(A) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_yellow21) ).

tff(f_432,axiom,
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v2_altcat_1(A)
        & v12_altcat_1(A)
        & l2_altcat_1(A)
        & ~ v3_struct_0(B)
        & v12_altcat_1(B)
        & l2_altcat_1(B) )
     => ! [C] :
          ( m2_functor0(C,A,B)
         => ( v16_functor0(C,A,B)
           => ( v6_functor0(C,A,B)
              & v8_functor0(C,A,B)
              & v11_functor0(C,A,B)
              & v12_functor0(C,A,B)
              & v14_functor0(C,A,B) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc4_functor2) ).

tff(c_4,plain,
    ~ v2_setfam_1('#skF_1'),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_498,plain,
    ! [A_201] :
      ( v21_functor0(k6_waybel34(A_201),k4_waybel34(A_201),k5_waybel34(A_201))
      | v2_setfam_1(A_201) ),
    inference(cnfTransformation,[status(thm)],[f_1122]) ).

tff(c_842,plain,
    ! [A_315] :
      ( ~ v1_xboole_0(A_315)
      | v2_setfam_1(A_315) ),
    inference(cnfTransformation,[status(thm)],[f_349]) ).

tff(c_850,plain,
    ~ v1_xboole_0('#skF_1'),
    inference(resolution,[status(thm)],[c_842,c_4]) ).

tff(c_336,plain,
    ! [A_119] :
      ( v3_altcat_2(k8_waybel34(A_119),k4_waybel34(A_119))
      | v1_xboole_0(A_119) ),
    inference(cnfTransformation,[status(thm)],[f_801]) ).

tff(c_322,plain,
    ! [A_117] :
      ( m2_functor0(k6_waybel34(A_117),k4_waybel34(A_117),k5_waybel34(A_117))
      | v2_setfam_1(A_117) ),
    inference(cnfTransformation,[status(thm)],[f_778]) ).

tff(c_340,plain,
    ! [A_119] :
      ( v2_altcat_1(k8_waybel34(A_119))
      | v1_xboole_0(A_119) ),
    inference(cnfTransformation,[status(thm)],[f_801]) ).

tff(c_296,plain,
    ! [A_115] :
      ( v2_yellow21(k4_waybel34(A_115))
      | v1_xboole_0(A_115) ),
    inference(cnfTransformation,[status(thm)],[f_751]) ).

tff(c_304,plain,
    ! [A_115] :
      ( v2_altcat_1(k4_waybel34(A_115))
      | v1_xboole_0(A_115) ),
    inference(cnfTransformation,[status(thm)],[f_751]) ).

tff(c_668,plain,
    ! [A_249] :
      ( ( k15_functor0(k4_waybel34(A_249),k5_waybel34(A_249),k6_waybel34(A_249)) = k7_waybel34(A_249) )
      | v2_setfam_1(A_249) ),
    inference(cnfTransformation,[status(thm)],[f_1372]) ).

tff(c_6264,plain,
    ! [C_1330,D_1326,A_1328,E_1329,B_1327] :
      ( r3_yellow20(B_1327,A_1328,k15_functor0(A_1328,B_1327,C_1330),E_1329,D_1326)
      | ~ r3_yellow20(A_1328,B_1327,C_1330,D_1326,E_1329)
      | ~ m1_altcat_2(E_1329,B_1327)
      | ~ v3_altcat_2(E_1329,B_1327)
      | ~ v2_altcat_1(E_1329)
      | v3_struct_0(E_1329)
      | ~ m1_altcat_2(D_1326,A_1328)
      | ~ v3_altcat_2(D_1326,A_1328)
      | ~ v2_altcat_1(D_1326)
      | v3_struct_0(D_1326)
      | ~ v21_functor0(C_1330,A_1328,B_1327)
      | ~ m2_functor0(C_1330,A_1328,B_1327)
      | ~ v16_functor0(C_1330,A_1328,B_1327)
      | ~ l2_altcat_1(B_1327)
      | ~ v12_altcat_1(B_1327)
      | ~ v11_altcat_1(B_1327)
      | ~ v2_altcat_1(B_1327)
      | v3_struct_0(B_1327)
      | ~ l2_altcat_1(A_1328)
      | ~ v12_altcat_1(A_1328)
      | ~ v11_altcat_1(A_1328)
      | ~ v2_altcat_1(A_1328)
      | v3_struct_0(A_1328) ),
    inference(cnfTransformation,[status(thm)],[f_1446]) ).

tff(c_21202,plain,
    ! [A_2792,E_2793,D_2794] :
      ( r3_yellow20(k5_waybel34(A_2792),k4_waybel34(A_2792),k7_waybel34(A_2792),E_2793,D_2794)
      | ~ r3_yellow20(k4_waybel34(A_2792),k5_waybel34(A_2792),k6_waybel34(A_2792),D_2794,E_2793)
      | ~ m1_altcat_2(E_2793,k5_waybel34(A_2792))
      | ~ v3_altcat_2(E_2793,k5_waybel34(A_2792))
      | ~ v2_altcat_1(E_2793)
      | v3_struct_0(E_2793)
      | ~ m1_altcat_2(D_2794,k4_waybel34(A_2792))
      | ~ v3_altcat_2(D_2794,k4_waybel34(A_2792))
      | ~ v2_altcat_1(D_2794)
      | v3_struct_0(D_2794)
      | ~ v21_functor0(k6_waybel34(A_2792),k4_waybel34(A_2792),k5_waybel34(A_2792))
      | ~ m2_functor0(k6_waybel34(A_2792),k4_waybel34(A_2792),k5_waybel34(A_2792))
      | ~ v16_functor0(k6_waybel34(A_2792),k4_waybel34(A_2792),k5_waybel34(A_2792))
      | ~ l2_altcat_1(k5_waybel34(A_2792))
      | ~ v12_altcat_1(k5_waybel34(A_2792))
      | ~ v11_altcat_1(k5_waybel34(A_2792))
      | ~ v2_altcat_1(k5_waybel34(A_2792))
      | v3_struct_0(k5_waybel34(A_2792))
      | ~ l2_altcat_1(k4_waybel34(A_2792))
      | ~ v12_altcat_1(k4_waybel34(A_2792))
      | ~ v11_altcat_1(k4_waybel34(A_2792))
      | ~ v2_altcat_1(k4_waybel34(A_2792))
      | v3_struct_0(k4_waybel34(A_2792))
      | v2_setfam_1(A_2792) ),
    inference(superposition,[status(thm),theory(equality)],[c_668,c_6264]) ).

tff(c_2,plain,
    ~ r3_yellow20(k5_waybel34('#skF_1'),k4_waybel34('#skF_1'),k7_waybel34('#skF_1'),k9_waybel34('#skF_1'),k8_waybel34('#skF_1')),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_21205,plain,
    ( ~ r3_yellow20(k4_waybel34('#skF_1'),k5_waybel34('#skF_1'),k6_waybel34('#skF_1'),k8_waybel34('#skF_1'),k9_waybel34('#skF_1'))
    | ~ m1_altcat_2(k9_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ v3_altcat_2(k9_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ v2_altcat_1(k9_waybel34('#skF_1'))
    | v3_struct_0(k9_waybel34('#skF_1'))
    | ~ m1_altcat_2(k8_waybel34('#skF_1'),k4_waybel34('#skF_1'))
    | ~ v3_altcat_2(k8_waybel34('#skF_1'),k4_waybel34('#skF_1'))
    | ~ v2_altcat_1(k8_waybel34('#skF_1'))
    | v3_struct_0(k8_waybel34('#skF_1'))
    | ~ v21_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ m2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ v16_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ l2_altcat_1(k5_waybel34('#skF_1'))
    | ~ v12_altcat_1(k5_waybel34('#skF_1'))
    | ~ v11_altcat_1(k5_waybel34('#skF_1'))
    | ~ v2_altcat_1(k5_waybel34('#skF_1'))
    | v3_struct_0(k5_waybel34('#skF_1'))
    | ~ l2_altcat_1(k4_waybel34('#skF_1'))
    | ~ v12_altcat_1(k4_waybel34('#skF_1'))
    | ~ v11_altcat_1(k4_waybel34('#skF_1'))
    | ~ v2_altcat_1(k4_waybel34('#skF_1'))
    | v3_struct_0(k4_waybel34('#skF_1'))
    | v2_setfam_1('#skF_1') ),
    inference(resolution,[status(thm)],[c_21202,c_2]) ).

tff(c_21208,plain,
    ( ~ r3_yellow20(k4_waybel34('#skF_1'),k5_waybel34('#skF_1'),k6_waybel34('#skF_1'),k8_waybel34('#skF_1'),k9_waybel34('#skF_1'))
    | ~ m1_altcat_2(k9_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ v3_altcat_2(k9_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ v2_altcat_1(k9_waybel34('#skF_1'))
    | v3_struct_0(k9_waybel34('#skF_1'))
    | ~ m1_altcat_2(k8_waybel34('#skF_1'),k4_waybel34('#skF_1'))
    | ~ v3_altcat_2(k8_waybel34('#skF_1'),k4_waybel34('#skF_1'))
    | ~ v2_altcat_1(k8_waybel34('#skF_1'))
    | v3_struct_0(k8_waybel34('#skF_1'))
    | ~ v21_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ m2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ v16_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ l2_altcat_1(k5_waybel34('#skF_1'))
    | ~ v12_altcat_1(k5_waybel34('#skF_1'))
    | ~ v11_altcat_1(k5_waybel34('#skF_1'))
    | ~ v2_altcat_1(k5_waybel34('#skF_1'))
    | v3_struct_0(k5_waybel34('#skF_1'))
    | ~ l2_altcat_1(k4_waybel34('#skF_1'))
    | ~ v12_altcat_1(k4_waybel34('#skF_1'))
    | ~ v11_altcat_1(k4_waybel34('#skF_1'))
    | ~ v2_altcat_1(k4_waybel34('#skF_1'))
    | v3_struct_0(k4_waybel34('#skF_1')) ),
    inference(negUnitSimplification,[status(thm)],[c_4,c_21205]) ).

tff(c_21211,plain,
    ~ v2_altcat_1(k4_waybel34('#skF_1')),
    inference(splitLeft,[status(thm)],[c_21208]) ).

tff(c_21214,plain,
    v1_xboole_0('#skF_1'),
    inference(resolution,[status(thm)],[c_304,c_21211]) ).

tff(c_21221,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_850,c_21214]) ).

tff(c_21223,plain,
    v2_altcat_1(k4_waybel34('#skF_1')),
    inference(splitRight,[status(thm)],[c_21208]) ).

tff(c_300,plain,
    ! [A_115] :
      ( v11_altcat_1(k4_waybel34(A_115))
      | v1_xboole_0(A_115) ),
    inference(cnfTransformation,[status(thm)],[f_751]) ).

tff(c_682,plain,
    ! [A_290] :
      ( r3_yellow20(k4_waybel34(A_290),k5_waybel34(A_290),k6_waybel34(A_290),k8_waybel34(A_290),k9_waybel34(A_290))
      | v2_setfam_1(A_290) ),
    inference(cnfTransformation,[status(thm)],[f_1451]) ).

tff(c_21222,plain,
    ( ~ v11_altcat_1(k4_waybel34('#skF_1'))
    | ~ v12_altcat_1(k4_waybel34('#skF_1'))
    | ~ l2_altcat_1(k4_waybel34('#skF_1'))
    | ~ v2_altcat_1(k5_waybel34('#skF_1'))
    | ~ v11_altcat_1(k5_waybel34('#skF_1'))
    | ~ v12_altcat_1(k5_waybel34('#skF_1'))
    | ~ l2_altcat_1(k5_waybel34('#skF_1'))
    | ~ v16_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ m2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ v21_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ v2_altcat_1(k8_waybel34('#skF_1'))
    | ~ v3_altcat_2(k8_waybel34('#skF_1'),k4_waybel34('#skF_1'))
    | ~ m1_altcat_2(k8_waybel34('#skF_1'),k4_waybel34('#skF_1'))
    | ~ v2_altcat_1(k9_waybel34('#skF_1'))
    | ~ v3_altcat_2(k9_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ m1_altcat_2(k9_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ r3_yellow20(k4_waybel34('#skF_1'),k5_waybel34('#skF_1'),k6_waybel34('#skF_1'),k8_waybel34('#skF_1'),k9_waybel34('#skF_1'))
    | v3_struct_0(k4_waybel34('#skF_1'))
    | v3_struct_0(k5_waybel34('#skF_1'))
    | v3_struct_0(k8_waybel34('#skF_1'))
    | v3_struct_0(k9_waybel34('#skF_1')) ),
    inference(splitRight,[status(thm)],[c_21208]) ).

tff(c_21232,plain,
    ~ r3_yellow20(k4_waybel34('#skF_1'),k5_waybel34('#skF_1'),k6_waybel34('#skF_1'),k8_waybel34('#skF_1'),k9_waybel34('#skF_1')),
    inference(splitLeft,[status(thm)],[c_21222]) ).

tff(c_21235,plain,
    v2_setfam_1('#skF_1'),
    inference(resolution,[status(thm)],[c_682,c_21232]) ).

tff(c_21239,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4,c_21235]) ).

tff(c_21240,plain,
    ( ~ m1_altcat_2(k9_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ v3_altcat_2(k9_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ v2_altcat_1(k9_waybel34('#skF_1'))
    | ~ m1_altcat_2(k8_waybel34('#skF_1'),k4_waybel34('#skF_1'))
    | ~ v3_altcat_2(k8_waybel34('#skF_1'),k4_waybel34('#skF_1'))
    | ~ v2_altcat_1(k8_waybel34('#skF_1'))
    | ~ v21_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ m2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ v16_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ l2_altcat_1(k5_waybel34('#skF_1'))
    | ~ v12_altcat_1(k5_waybel34('#skF_1'))
    | ~ v11_altcat_1(k5_waybel34('#skF_1'))
    | ~ v2_altcat_1(k5_waybel34('#skF_1'))
    | ~ l2_altcat_1(k4_waybel34('#skF_1'))
    | ~ v12_altcat_1(k4_waybel34('#skF_1'))
    | ~ v11_altcat_1(k4_waybel34('#skF_1'))
    | v3_struct_0(k9_waybel34('#skF_1'))
    | v3_struct_0(k8_waybel34('#skF_1'))
    | v3_struct_0(k5_waybel34('#skF_1'))
    | v3_struct_0(k4_waybel34('#skF_1')) ),
    inference(splitRight,[status(thm)],[c_21222]) ).

tff(c_21248,plain,
    ~ v11_altcat_1(k4_waybel34('#skF_1')),
    inference(splitLeft,[status(thm)],[c_21240]) ).

tff(c_21251,plain,
    v1_xboole_0('#skF_1'),
    inference(resolution,[status(thm)],[c_300,c_21248]) ).

tff(c_21258,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_850,c_21251]) ).

tff(c_21260,plain,
    v11_altcat_1(k4_waybel34('#skF_1')),
    inference(splitRight,[status(thm)],[c_21240]) ).

tff(c_298,plain,
    ! [A_115] :
      ( v12_altcat_1(k4_waybel34(A_115))
      | v1_xboole_0(A_115) ),
    inference(cnfTransformation,[status(thm)],[f_751]) ).

tff(c_488,plain,
    ! [A_197] :
      ( v2_altcat_1(k5_waybel34(A_197))
      | v2_setfam_1(A_197) ),
    inference(cnfTransformation,[status(thm)],[f_1091]) ).

tff(c_308,plain,
    ! [A_116] :
      ( l2_altcat_1(k5_waybel34(A_116))
      | v1_xboole_0(A_116) ),
    inference(cnfTransformation,[status(thm)],[f_769]) ).

tff(c_344,plain,
    ! [A_120] :
      ( m1_altcat_2(k9_waybel34(A_120),k5_waybel34(A_120))
      | v2_setfam_1(A_120) ),
    inference(cnfTransformation,[status(thm)],[f_815]) ).

tff(c_21259,plain,
    ( ~ v12_altcat_1(k4_waybel34('#skF_1'))
    | ~ l2_altcat_1(k4_waybel34('#skF_1'))
    | ~ v2_altcat_1(k5_waybel34('#skF_1'))
    | ~ v11_altcat_1(k5_waybel34('#skF_1'))
    | ~ v12_altcat_1(k5_waybel34('#skF_1'))
    | ~ l2_altcat_1(k5_waybel34('#skF_1'))
    | ~ v16_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ m2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ v21_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ v2_altcat_1(k8_waybel34('#skF_1'))
    | ~ v3_altcat_2(k8_waybel34('#skF_1'),k4_waybel34('#skF_1'))
    | ~ m1_altcat_2(k8_waybel34('#skF_1'),k4_waybel34('#skF_1'))
    | ~ v2_altcat_1(k9_waybel34('#skF_1'))
    | ~ v3_altcat_2(k9_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ m1_altcat_2(k9_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | v3_struct_0(k4_waybel34('#skF_1'))
    | v3_struct_0(k5_waybel34('#skF_1'))
    | v3_struct_0(k8_waybel34('#skF_1'))
    | v3_struct_0(k9_waybel34('#skF_1')) ),
    inference(splitRight,[status(thm)],[c_21240]) ).

tff(c_21268,plain,
    ~ m1_altcat_2(k9_waybel34('#skF_1'),k5_waybel34('#skF_1')),
    inference(splitLeft,[status(thm)],[c_21259]) ).

tff(c_21271,plain,
    v2_setfam_1('#skF_1'),
    inference(resolution,[status(thm)],[c_344,c_21268]) ).

tff(c_21275,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4,c_21271]) ).

tff(c_21277,plain,
    m1_altcat_2(k9_waybel34('#skF_1'),k5_waybel34('#skF_1')),
    inference(splitRight,[status(thm)],[c_21259]) ).

tff(c_364,plain,
    ! [B_129,A_127] :
      ( l2_altcat_1(B_129)
      | ~ m1_altcat_2(B_129,A_127)
      | ~ l2_altcat_1(A_127) ),
    inference(cnfTransformation,[status(thm)],[f_839]) ).

tff(c_21475,plain,
    ( l2_altcat_1(k9_waybel34('#skF_1'))
    | ~ l2_altcat_1(k5_waybel34('#skF_1')) ),
    inference(resolution,[status(thm)],[c_21277,c_364]) ).

tff(c_21476,plain,
    ~ l2_altcat_1(k5_waybel34('#skF_1')),
    inference(splitLeft,[status(thm)],[c_21475]) ).

tff(c_21479,plain,
    v1_xboole_0('#skF_1'),
    inference(resolution,[status(thm)],[c_308,c_21476]) ).

tff(c_21483,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_850,c_21479]) ).

tff(c_21485,plain,
    l2_altcat_1(k5_waybel34('#skF_1')),
    inference(splitRight,[status(thm)],[c_21475]) ).

tff(c_346,plain,
    ! [A_120] :
      ( v3_altcat_2(k9_waybel34(A_120),k5_waybel34(A_120))
      | v2_setfam_1(A_120) ),
    inference(cnfTransformation,[status(thm)],[f_815]) ).

tff(c_4322,plain,
    ! [B_1069,A_1070] :
      ( v11_altcat_1(B_1069)
      | ~ v3_altcat_2(B_1069,A_1070)
      | ~ v2_altcat_1(B_1069)
      | v3_struct_0(B_1069)
      | ~ m1_altcat_2(B_1069,A_1070)
      | ~ l2_altcat_1(A_1070)
      | ~ v2_yellow18(A_1070)
      | ~ v12_altcat_1(A_1070)
      | ~ v11_altcat_1(A_1070)
      | ~ v2_altcat_1(A_1070)
      | v3_struct_0(A_1070) ),
    inference(cnfTransformation,[status(thm)],[f_566]) ).

tff(c_4329,plain,
    ! [A_120] :
      ( v11_altcat_1(k9_waybel34(A_120))
      | ~ v2_altcat_1(k9_waybel34(A_120))
      | v3_struct_0(k9_waybel34(A_120))
      | ~ m1_altcat_2(k9_waybel34(A_120),k5_waybel34(A_120))
      | ~ l2_altcat_1(k5_waybel34(A_120))
      | ~ v2_yellow18(k5_waybel34(A_120))
      | ~ v12_altcat_1(k5_waybel34(A_120))
      | ~ v11_altcat_1(k5_waybel34(A_120))
      | ~ v2_altcat_1(k5_waybel34(A_120))
      | v3_struct_0(k5_waybel34(A_120))
      | v2_setfam_1(A_120) ),
    inference(resolution,[status(thm)],[c_346,c_4322]) ).

tff(c_21289,plain,
    ( v11_altcat_1(k9_waybel34('#skF_1'))
    | ~ v2_altcat_1(k9_waybel34('#skF_1'))
    | v3_struct_0(k9_waybel34('#skF_1'))
    | ~ l2_altcat_1(k5_waybel34('#skF_1'))
    | ~ v2_yellow18(k5_waybel34('#skF_1'))
    | ~ v12_altcat_1(k5_waybel34('#skF_1'))
    | ~ v11_altcat_1(k5_waybel34('#skF_1'))
    | ~ v2_altcat_1(k5_waybel34('#skF_1'))
    | v3_struct_0(k5_waybel34('#skF_1'))
    | v2_setfam_1('#skF_1') ),
    inference(resolution,[status(thm)],[c_21277,c_4329]) ).

tff(c_21391,plain,
    ( v11_altcat_1(k9_waybel34('#skF_1'))
    | ~ v2_altcat_1(k9_waybel34('#skF_1'))
    | v3_struct_0(k9_waybel34('#skF_1'))
    | ~ l2_altcat_1(k5_waybel34('#skF_1'))
    | ~ v2_yellow18(k5_waybel34('#skF_1'))
    | ~ v12_altcat_1(k5_waybel34('#skF_1'))
    | ~ v11_altcat_1(k5_waybel34('#skF_1'))
    | ~ v2_altcat_1(k5_waybel34('#skF_1'))
    | v3_struct_0(k5_waybel34('#skF_1')) ),
    inference(negUnitSimplification,[status(thm)],[c_4,c_21289]) ).

tff(c_21503,plain,
    ( v11_altcat_1(k9_waybel34('#skF_1'))
    | ~ v2_altcat_1(k9_waybel34('#skF_1'))
    | v3_struct_0(k9_waybel34('#skF_1'))
    | ~ v2_yellow18(k5_waybel34('#skF_1'))
    | ~ v12_altcat_1(k5_waybel34('#skF_1'))
    | ~ v11_altcat_1(k5_waybel34('#skF_1'))
    | ~ v2_altcat_1(k5_waybel34('#skF_1'))
    | v3_struct_0(k5_waybel34('#skF_1')) ),
    inference(demodulation,[status(thm),theory(equality)],[c_21485,c_21391]) ).

tff(c_21504,plain,
    ~ v2_altcat_1(k5_waybel34('#skF_1')),
    inference(splitLeft,[status(thm)],[c_21503]) ).

tff(c_21507,plain,
    v2_setfam_1('#skF_1'),
    inference(resolution,[status(thm)],[c_488,c_21504]) ).

tff(c_21514,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4,c_21507]) ).

tff(c_21516,plain,
    v2_altcat_1(k5_waybel34('#skF_1')),
    inference(splitRight,[status(thm)],[c_21503]) ).

tff(c_314,plain,
    ! [A_116] :
      ( v11_altcat_1(k5_waybel34(A_116))
      | v1_xboole_0(A_116) ),
    inference(cnfTransformation,[status(thm)],[f_769]) ).

tff(c_4353,plain,
    ! [B_1081,A_1082] :
      ( v11_altcat_1(B_1081)
      | ~ v3_altcat_2(B_1081,A_1082)
      | ~ v2_altcat_1(B_1081)
      | v3_struct_0(B_1081)
      | ~ m1_altcat_2(B_1081,A_1082)
      | ~ l2_altcat_1(A_1082)
      | ~ v1_yellow21(A_1082)
      | ~ v12_altcat_1(A_1082)
      | ~ v11_altcat_1(A_1082)
      | ~ v2_altcat_1(A_1082)
      | v3_struct_0(A_1082) ),
    inference(cnfTransformation,[status(thm)],[f_634]) ).

tff(c_4360,plain,
    ! [A_120] :
      ( v11_altcat_1(k9_waybel34(A_120))
      | ~ v2_altcat_1(k9_waybel34(A_120))
      | v3_struct_0(k9_waybel34(A_120))
      | ~ m1_altcat_2(k9_waybel34(A_120),k5_waybel34(A_120))
      | ~ l2_altcat_1(k5_waybel34(A_120))
      | ~ v1_yellow21(k5_waybel34(A_120))
      | ~ v12_altcat_1(k5_waybel34(A_120))
      | ~ v11_altcat_1(k5_waybel34(A_120))
      | ~ v2_altcat_1(k5_waybel34(A_120))
      | v3_struct_0(k5_waybel34(A_120))
      | v2_setfam_1(A_120) ),
    inference(resolution,[status(thm)],[c_346,c_4353]) ).

tff(c_21298,plain,
    ( v11_altcat_1(k9_waybel34('#skF_1'))
    | ~ v2_altcat_1(k9_waybel34('#skF_1'))
    | v3_struct_0(k9_waybel34('#skF_1'))
    | ~ l2_altcat_1(k5_waybel34('#skF_1'))
    | ~ v1_yellow21(k5_waybel34('#skF_1'))
    | ~ v12_altcat_1(k5_waybel34('#skF_1'))
    | ~ v11_altcat_1(k5_waybel34('#skF_1'))
    | ~ v2_altcat_1(k5_waybel34('#skF_1'))
    | v3_struct_0(k5_waybel34('#skF_1'))
    | v2_setfam_1('#skF_1') ),
    inference(resolution,[status(thm)],[c_21277,c_4360]) ).

tff(c_21400,plain,
    ( v11_altcat_1(k9_waybel34('#skF_1'))
    | ~ v2_altcat_1(k9_waybel34('#skF_1'))
    | v3_struct_0(k9_waybel34('#skF_1'))
    | ~ l2_altcat_1(k5_waybel34('#skF_1'))
    | ~ v1_yellow21(k5_waybel34('#skF_1'))
    | ~ v12_altcat_1(k5_waybel34('#skF_1'))
    | ~ v11_altcat_1(k5_waybel34('#skF_1'))
    | ~ v2_altcat_1(k5_waybel34('#skF_1'))
    | v3_struct_0(k5_waybel34('#skF_1')) ),
    inference(negUnitSimplification,[status(thm)],[c_4,c_21298]) ).

tff(c_21524,plain,
    ( v11_altcat_1(k9_waybel34('#skF_1'))
    | ~ v2_altcat_1(k9_waybel34('#skF_1'))
    | v3_struct_0(k9_waybel34('#skF_1'))
    | ~ v1_yellow21(k5_waybel34('#skF_1'))
    | ~ v12_altcat_1(k5_waybel34('#skF_1'))
    | ~ v11_altcat_1(k5_waybel34('#skF_1'))
    | v3_struct_0(k5_waybel34('#skF_1')) ),
    inference(demodulation,[status(thm),theory(equality)],[c_21516,c_21485,c_21400]) ).

tff(c_21525,plain,
    ~ v11_altcat_1(k5_waybel34('#skF_1')),
    inference(splitLeft,[status(thm)],[c_21524]) ).

tff(c_21528,plain,
    v1_xboole_0('#skF_1'),
    inference(resolution,[status(thm)],[c_314,c_21525]) ).

tff(c_21535,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_850,c_21528]) ).

tff(c_21537,plain,
    v11_altcat_1(k5_waybel34('#skF_1')),
    inference(splitRight,[status(thm)],[c_21524]) ).

tff(c_312,plain,
    ! [A_116] :
      ( v12_altcat_1(k5_waybel34(A_116))
      | v1_xboole_0(A_116) ),
    inference(cnfTransformation,[status(thm)],[f_769]) ).

tff(c_4140,plain,
    ! [B_1007,A_1008] :
      ( v12_altcat_1(B_1007)
      | ~ v3_altcat_2(B_1007,A_1008)
      | ~ v2_altcat_1(B_1007)
      | v3_struct_0(B_1007)
      | ~ m1_altcat_2(B_1007,A_1008)
      | ~ l2_altcat_1(A_1008)
      | ~ v2_yellow21(A_1008)
      | ~ v12_altcat_1(A_1008)
      | ~ v11_altcat_1(A_1008)
      | ~ v2_altcat_1(A_1008)
      | v3_struct_0(A_1008) ),
    inference(cnfTransformation,[status(thm)],[f_682]) ).

tff(c_4147,plain,
    ! [A_120] :
      ( v12_altcat_1(k9_waybel34(A_120))
      | ~ v2_altcat_1(k9_waybel34(A_120))
      | v3_struct_0(k9_waybel34(A_120))
      | ~ m1_altcat_2(k9_waybel34(A_120),k5_waybel34(A_120))
      | ~ l2_altcat_1(k5_waybel34(A_120))
      | ~ v2_yellow21(k5_waybel34(A_120))
      | ~ v12_altcat_1(k5_waybel34(A_120))
      | ~ v11_altcat_1(k5_waybel34(A_120))
      | ~ v2_altcat_1(k5_waybel34(A_120))
      | v3_struct_0(k5_waybel34(A_120))
      | v2_setfam_1(A_120) ),
    inference(resolution,[status(thm)],[c_346,c_4140]) ).

tff(c_21307,plain,
    ( v12_altcat_1(k9_waybel34('#skF_1'))
    | ~ v2_altcat_1(k9_waybel34('#skF_1'))
    | v3_struct_0(k9_waybel34('#skF_1'))
    | ~ l2_altcat_1(k5_waybel34('#skF_1'))
    | ~ v2_yellow21(k5_waybel34('#skF_1'))
    | ~ v12_altcat_1(k5_waybel34('#skF_1'))
    | ~ v11_altcat_1(k5_waybel34('#skF_1'))
    | ~ v2_altcat_1(k5_waybel34('#skF_1'))
    | v3_struct_0(k5_waybel34('#skF_1'))
    | v2_setfam_1('#skF_1') ),
    inference(resolution,[status(thm)],[c_21277,c_4147]) ).

tff(c_21409,plain,
    ( v12_altcat_1(k9_waybel34('#skF_1'))
    | ~ v2_altcat_1(k9_waybel34('#skF_1'))
    | v3_struct_0(k9_waybel34('#skF_1'))
    | ~ l2_altcat_1(k5_waybel34('#skF_1'))
    | ~ v2_yellow21(k5_waybel34('#skF_1'))
    | ~ v12_altcat_1(k5_waybel34('#skF_1'))
    | ~ v11_altcat_1(k5_waybel34('#skF_1'))
    | ~ v2_altcat_1(k5_waybel34('#skF_1'))
    | v3_struct_0(k5_waybel34('#skF_1')) ),
    inference(negUnitSimplification,[status(thm)],[c_4,c_21307]) ).

tff(c_21546,plain,
    ( v12_altcat_1(k9_waybel34('#skF_1'))
    | ~ v2_altcat_1(k9_waybel34('#skF_1'))
    | v3_struct_0(k9_waybel34('#skF_1'))
    | ~ v2_yellow21(k5_waybel34('#skF_1'))
    | ~ v12_altcat_1(k5_waybel34('#skF_1'))
    | v3_struct_0(k5_waybel34('#skF_1')) ),
    inference(demodulation,[status(thm),theory(equality)],[c_21516,c_21537,c_21485,c_21409]) ).

tff(c_21547,plain,
    ~ v12_altcat_1(k5_waybel34('#skF_1')),
    inference(splitLeft,[status(thm)],[c_21546]) ).

tff(c_21550,plain,
    v1_xboole_0('#skF_1'),
    inference(resolution,[status(thm)],[c_312,c_21547]) ).

tff(c_21557,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_850,c_21550]) ).

tff(c_21559,plain,
    v12_altcat_1(k5_waybel34('#skF_1')),
    inference(splitRight,[status(thm)],[c_21546]) ).

tff(c_466,plain,
    ! [A_197] :
      ( v3_yellow21(k5_waybel34(A_197))
      | v2_setfam_1(A_197) ),
    inference(cnfTransformation,[status(thm)],[f_1091]) ).

tff(c_350,plain,
    ! [A_120] :
      ( v2_altcat_1(k9_waybel34(A_120))
      | v2_setfam_1(A_120) ),
    inference(cnfTransformation,[status(thm)],[f_815]) ).

tff(c_21558,plain,
    ( ~ v2_yellow21(k5_waybel34('#skF_1'))
    | ~ v2_altcat_1(k9_waybel34('#skF_1'))
    | v3_struct_0(k5_waybel34('#skF_1'))
    | v3_struct_0(k9_waybel34('#skF_1'))
    | v12_altcat_1(k9_waybel34('#skF_1')) ),
    inference(splitRight,[status(thm)],[c_21546]) ).

tff(c_21562,plain,
    ~ v2_altcat_1(k9_waybel34('#skF_1')),
    inference(splitLeft,[status(thm)],[c_21558]) ).

tff(c_21570,plain,
    v2_setfam_1('#skF_1'),
    inference(resolution,[status(thm)],[c_350,c_21562]) ).

tff(c_21574,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4,c_21570]) ).

tff(c_21576,plain,
    v2_altcat_1(k9_waybel34('#skF_1')),
    inference(splitRight,[status(thm)],[c_21558]) ).

tff(c_4403,plain,
    ! [B_1100,A_1101] :
      ( v2_yellow21(B_1100)
      | ~ v3_altcat_2(B_1100,A_1101)
      | ~ v2_altcat_1(B_1100)
      | v3_struct_0(B_1100)
      | ~ m1_altcat_2(B_1100,A_1101)
      | ~ l2_altcat_1(A_1101)
      | ~ v3_yellow21(A_1101)
      | ~ v12_altcat_1(A_1101)
      | ~ v11_altcat_1(A_1101)
      | ~ v2_altcat_1(A_1101)
      | v3_struct_0(A_1101) ),
    inference(cnfTransformation,[status(thm)],[f_122]) ).

tff(c_4410,plain,
    ! [A_120] :
      ( v2_yellow21(k9_waybel34(A_120))
      | ~ v2_altcat_1(k9_waybel34(A_120))
      | v3_struct_0(k9_waybel34(A_120))
      | ~ m1_altcat_2(k9_waybel34(A_120),k5_waybel34(A_120))
      | ~ l2_altcat_1(k5_waybel34(A_120))
      | ~ v3_yellow21(k5_waybel34(A_120))
      | ~ v12_altcat_1(k5_waybel34(A_120))
      | ~ v11_altcat_1(k5_waybel34(A_120))
      | ~ v2_altcat_1(k5_waybel34(A_120))
      | v3_struct_0(k5_waybel34(A_120))
      | v2_setfam_1(A_120) ),
    inference(resolution,[status(thm)],[c_346,c_4403]) ).

tff(c_21370,plain,
    ( v2_yellow21(k9_waybel34('#skF_1'))
    | ~ v2_altcat_1(k9_waybel34('#skF_1'))
    | v3_struct_0(k9_waybel34('#skF_1'))
    | ~ l2_altcat_1(k5_waybel34('#skF_1'))
    | ~ v3_yellow21(k5_waybel34('#skF_1'))
    | ~ v12_altcat_1(k5_waybel34('#skF_1'))
    | ~ v11_altcat_1(k5_waybel34('#skF_1'))
    | ~ v2_altcat_1(k5_waybel34('#skF_1'))
    | v3_struct_0(k5_waybel34('#skF_1'))
    | v2_setfam_1('#skF_1') ),
    inference(resolution,[status(thm)],[c_21277,c_4410]) ).

tff(c_21472,plain,
    ( v2_yellow21(k9_waybel34('#skF_1'))
    | ~ v2_altcat_1(k9_waybel34('#skF_1'))
    | v3_struct_0(k9_waybel34('#skF_1'))
    | ~ l2_altcat_1(k5_waybel34('#skF_1'))
    | ~ v3_yellow21(k5_waybel34('#skF_1'))
    | ~ v12_altcat_1(k5_waybel34('#skF_1'))
    | ~ v11_altcat_1(k5_waybel34('#skF_1'))
    | ~ v2_altcat_1(k5_waybel34('#skF_1'))
    | v3_struct_0(k5_waybel34('#skF_1')) ),
    inference(negUnitSimplification,[status(thm)],[c_4,c_21370]) ).

tff(c_22743,plain,
    ( v2_yellow21(k9_waybel34('#skF_1'))
    | v3_struct_0(k9_waybel34('#skF_1'))
    | ~ v3_yellow21(k5_waybel34('#skF_1'))
    | v3_struct_0(k5_waybel34('#skF_1')) ),
    inference(demodulation,[status(thm),theory(equality)],[c_21516,c_21537,c_21559,c_21485,c_21576,c_21472]) ).

tff(c_22744,plain,
    ~ v3_yellow21(k5_waybel34('#skF_1')),
    inference(splitLeft,[status(thm)],[c_22743]) ).

tff(c_22747,plain,
    v2_setfam_1('#skF_1'),
    inference(resolution,[status(thm)],[c_466,c_22744]) ).

tff(c_22751,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4,c_22747]) ).

tff(c_22753,plain,
    v3_yellow21(k5_waybel34('#skF_1')),
    inference(splitRight,[status(thm)],[c_22743]) ).

tff(c_4519,plain,
    ! [B_1145,A_1146] :
      ( v9_altcat_1(B_1145)
      | ~ v3_altcat_2(B_1145,A_1146)
      | ~ v2_altcat_1(B_1145)
      | v3_struct_0(B_1145)
      | ~ m1_altcat_2(B_1145,A_1146)
      | ~ l2_altcat_1(A_1146)
      | ~ v3_yellow21(A_1146)
      | ~ v12_altcat_1(A_1146)
      | ~ v11_altcat_1(A_1146)
      | ~ v2_altcat_1(A_1146)
      | v3_struct_0(A_1146) ),
    inference(cnfTransformation,[status(thm)],[f_122]) ).

tff(c_4526,plain,
    ! [A_120] :
      ( v9_altcat_1(k9_waybel34(A_120))
      | ~ v2_altcat_1(k9_waybel34(A_120))
      | v3_struct_0(k9_waybel34(A_120))
      | ~ m1_altcat_2(k9_waybel34(A_120),k5_waybel34(A_120))
      | ~ l2_altcat_1(k5_waybel34(A_120))
      | ~ v3_yellow21(k5_waybel34(A_120))
      | ~ v12_altcat_1(k5_waybel34(A_120))
      | ~ v11_altcat_1(k5_waybel34(A_120))
      | ~ v2_altcat_1(k5_waybel34(A_120))
      | v3_struct_0(k5_waybel34(A_120))
      | v2_setfam_1(A_120) ),
    inference(resolution,[status(thm)],[c_346,c_4519]) ).

tff(c_21340,plain,
    ( v9_altcat_1(k9_waybel34('#skF_1'))
    | ~ v2_altcat_1(k9_waybel34('#skF_1'))
    | v3_struct_0(k9_waybel34('#skF_1'))
    | ~ l2_altcat_1(k5_waybel34('#skF_1'))
    | ~ v3_yellow21(k5_waybel34('#skF_1'))
    | ~ v12_altcat_1(k5_waybel34('#skF_1'))
    | ~ v11_altcat_1(k5_waybel34('#skF_1'))
    | ~ v2_altcat_1(k5_waybel34('#skF_1'))
    | v3_struct_0(k5_waybel34('#skF_1'))
    | v2_setfam_1('#skF_1') ),
    inference(resolution,[status(thm)],[c_21277,c_4526]) ).

tff(c_21442,plain,
    ( v9_altcat_1(k9_waybel34('#skF_1'))
    | ~ v2_altcat_1(k9_waybel34('#skF_1'))
    | v3_struct_0(k9_waybel34('#skF_1'))
    | ~ l2_altcat_1(k5_waybel34('#skF_1'))
    | ~ v3_yellow21(k5_waybel34('#skF_1'))
    | ~ v12_altcat_1(k5_waybel34('#skF_1'))
    | ~ v11_altcat_1(k5_waybel34('#skF_1'))
    | ~ v2_altcat_1(k5_waybel34('#skF_1'))
    | v3_struct_0(k5_waybel34('#skF_1')) ),
    inference(negUnitSimplification,[status(thm)],[c_4,c_21340]) ).

tff(c_26755,plain,
    ( v9_altcat_1(k9_waybel34('#skF_1'))
    | v3_struct_0(k9_waybel34('#skF_1'))
    | v3_struct_0(k5_waybel34('#skF_1')) ),
    inference(demodulation,[status(thm),theory(equality)],[c_21516,c_21537,c_21559,c_22753,c_21485,c_21576,c_21442]) ).

tff(c_26756,plain,
    v3_struct_0(k5_waybel34('#skF_1')),
    inference(splitLeft,[status(thm)],[c_26755]) ).

tff(c_490,plain,
    ! [A_197] :
      ( ~ v3_struct_0(k5_waybel34(A_197))
      | v2_setfam_1(A_197) ),
    inference(cnfTransformation,[status(thm)],[f_1091]) ).

tff(c_26759,plain,
    v2_setfam_1('#skF_1'),
    inference(resolution,[status(thm)],[c_26756,c_490]) ).

tff(c_26766,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4,c_26759]) ).

tff(c_26768,plain,
    ~ v3_struct_0(k5_waybel34('#skF_1')),
    inference(splitRight,[status(thm)],[c_26755]) ).

tff(c_468,plain,
    ! [A_197] :
      ( v2_yellow21(k5_waybel34(A_197))
      | v2_setfam_1(A_197) ),
    inference(cnfTransformation,[status(thm)],[f_1091]) ).

tff(c_21575,plain,
    ( ~ v2_yellow21(k5_waybel34('#skF_1'))
    | v12_altcat_1(k9_waybel34('#skF_1'))
    | v3_struct_0(k9_waybel34('#skF_1'))
    | v3_struct_0(k5_waybel34('#skF_1')) ),
    inference(splitRight,[status(thm)],[c_21558]) ).

tff(c_21577,plain,
    ~ v2_yellow21(k5_waybel34('#skF_1')),
    inference(splitLeft,[status(thm)],[c_21575]) ).

tff(c_21583,plain,
    v2_setfam_1('#skF_1'),
    inference(resolution,[status(thm)],[c_468,c_21577]) ).

tff(c_21590,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4,c_21583]) ).

tff(c_21592,plain,
    v2_yellow21(k5_waybel34('#skF_1')),
    inference(splitRight,[status(thm)],[c_21575]) ).

tff(c_4217,plain,
    ! [B_1022,A_1023] :
      ( v4_yellow18(B_1022)
      | ~ v3_altcat_2(B_1022,A_1023)
      | ~ v2_altcat_1(B_1022)
      | v3_struct_0(B_1022)
      | ~ m1_altcat_2(B_1022,A_1023)
      | ~ l2_altcat_1(A_1023)
      | ~ v2_yellow21(A_1023)
      | ~ v12_altcat_1(A_1023)
      | ~ v11_altcat_1(A_1023)
      | ~ v2_altcat_1(A_1023)
      | v3_struct_0(A_1023) ),
    inference(cnfTransformation,[status(thm)],[f_682]) ).

tff(c_4224,plain,
    ! [A_120] :
      ( v4_yellow18(k9_waybel34(A_120))
      | ~ v2_altcat_1(k9_waybel34(A_120))
      | v3_struct_0(k9_waybel34(A_120))
      | ~ m1_altcat_2(k9_waybel34(A_120),k5_waybel34(A_120))
      | ~ l2_altcat_1(k5_waybel34(A_120))
      | ~ v2_yellow21(k5_waybel34(A_120))
      | ~ v12_altcat_1(k5_waybel34(A_120))
      | ~ v11_altcat_1(k5_waybel34(A_120))
      | ~ v2_altcat_1(k5_waybel34(A_120))
      | v3_struct_0(k5_waybel34(A_120))
      | v2_setfam_1(A_120) ),
    inference(resolution,[status(thm)],[c_346,c_4217]) ).

tff(c_21295,plain,
    ( v4_yellow18(k9_waybel34('#skF_1'))
    | ~ v2_altcat_1(k9_waybel34('#skF_1'))
    | v3_struct_0(k9_waybel34('#skF_1'))
    | ~ l2_altcat_1(k5_waybel34('#skF_1'))
    | ~ v2_yellow21(k5_waybel34('#skF_1'))
    | ~ v12_altcat_1(k5_waybel34('#skF_1'))
    | ~ v11_altcat_1(k5_waybel34('#skF_1'))
    | ~ v2_altcat_1(k5_waybel34('#skF_1'))
    | v3_struct_0(k5_waybel34('#skF_1'))
    | v2_setfam_1('#skF_1') ),
    inference(resolution,[status(thm)],[c_21277,c_4224]) ).

tff(c_21397,plain,
    ( v4_yellow18(k9_waybel34('#skF_1'))
    | ~ v2_altcat_1(k9_waybel34('#skF_1'))
    | v3_struct_0(k9_waybel34('#skF_1'))
    | ~ l2_altcat_1(k5_waybel34('#skF_1'))
    | ~ v2_yellow21(k5_waybel34('#skF_1'))
    | ~ v12_altcat_1(k5_waybel34('#skF_1'))
    | ~ v11_altcat_1(k5_waybel34('#skF_1'))
    | ~ v2_altcat_1(k5_waybel34('#skF_1'))
    | v3_struct_0(k5_waybel34('#skF_1')) ),
    inference(negUnitSimplification,[status(thm)],[c_4,c_21295]) ).

tff(c_36509,plain,
    ( v4_yellow18(k9_waybel34('#skF_1'))
    | v3_struct_0(k9_waybel34('#skF_1'))
    | v3_struct_0(k5_waybel34('#skF_1')) ),
    inference(demodulation,[status(thm),theory(equality)],[c_21516,c_21537,c_21559,c_21592,c_21485,c_21576,c_21397]) ).

tff(c_36510,plain,
    ( v4_yellow18(k9_waybel34('#skF_1'))
    | v3_struct_0(k9_waybel34('#skF_1')) ),
    inference(negUnitSimplification,[status(thm)],[c_26768,c_36509]) ).

tff(c_36511,plain,
    v3_struct_0(k9_waybel34('#skF_1')),
    inference(splitLeft,[status(thm)],[c_36510]) ).

tff(c_352,plain,
    ! [A_120] :
      ( ~ v3_struct_0(k9_waybel34(A_120))
      | v2_setfam_1(A_120) ),
    inference(cnfTransformation,[status(thm)],[f_815]) ).

tff(c_36514,plain,
    v2_setfam_1('#skF_1'),
    inference(resolution,[status(thm)],[c_36511,c_352]) ).

tff(c_36518,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4,c_36514]) ).

tff(c_36520,plain,
    ~ v3_struct_0(k9_waybel34('#skF_1')),
    inference(splitRight,[status(thm)],[c_36510]) ).

tff(c_21276,plain,
    ( ~ v3_altcat_2(k9_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ v2_altcat_1(k9_waybel34('#skF_1'))
    | ~ m1_altcat_2(k8_waybel34('#skF_1'),k4_waybel34('#skF_1'))
    | ~ v3_altcat_2(k8_waybel34('#skF_1'),k4_waybel34('#skF_1'))
    | ~ v2_altcat_1(k8_waybel34('#skF_1'))
    | ~ v21_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ m2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ v16_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ l2_altcat_1(k5_waybel34('#skF_1'))
    | ~ v12_altcat_1(k5_waybel34('#skF_1'))
    | ~ v11_altcat_1(k5_waybel34('#skF_1'))
    | ~ v2_altcat_1(k5_waybel34('#skF_1'))
    | ~ l2_altcat_1(k4_waybel34('#skF_1'))
    | ~ v12_altcat_1(k4_waybel34('#skF_1'))
    | v3_struct_0(k9_waybel34('#skF_1'))
    | v3_struct_0(k8_waybel34('#skF_1'))
    | v3_struct_0(k5_waybel34('#skF_1'))
    | v3_struct_0(k4_waybel34('#skF_1')) ),
    inference(splitRight,[status(thm)],[c_21259]) ).

tff(c_45394,plain,
    ( ~ v3_altcat_2(k9_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ m1_altcat_2(k8_waybel34('#skF_1'),k4_waybel34('#skF_1'))
    | ~ v3_altcat_2(k8_waybel34('#skF_1'),k4_waybel34('#skF_1'))
    | ~ v2_altcat_1(k8_waybel34('#skF_1'))
    | ~ v21_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ m2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ v16_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ l2_altcat_1(k4_waybel34('#skF_1'))
    | ~ v12_altcat_1(k4_waybel34('#skF_1'))
    | v3_struct_0(k9_waybel34('#skF_1'))
    | v3_struct_0(k8_waybel34('#skF_1'))
    | v3_struct_0(k5_waybel34('#skF_1'))
    | v3_struct_0(k4_waybel34('#skF_1')) ),
    inference(demodulation,[status(thm),theory(equality)],[c_21516,c_21537,c_21559,c_21485,c_21576,c_21276]) ).

tff(c_45395,plain,
    ( ~ v3_altcat_2(k9_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ m1_altcat_2(k8_waybel34('#skF_1'),k4_waybel34('#skF_1'))
    | ~ v3_altcat_2(k8_waybel34('#skF_1'),k4_waybel34('#skF_1'))
    | ~ v2_altcat_1(k8_waybel34('#skF_1'))
    | ~ v21_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ m2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ v16_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ l2_altcat_1(k4_waybel34('#skF_1'))
    | ~ v12_altcat_1(k4_waybel34('#skF_1'))
    | v3_struct_0(k8_waybel34('#skF_1'))
    | v3_struct_0(k4_waybel34('#skF_1')) ),
    inference(negUnitSimplification,[status(thm)],[c_26768,c_36520,c_45394]) ).

tff(c_45396,plain,
    ~ v12_altcat_1(k4_waybel34('#skF_1')),
    inference(splitLeft,[status(thm)],[c_45395]) ).

tff(c_45399,plain,
    v1_xboole_0('#skF_1'),
    inference(resolution,[status(thm)],[c_298,c_45396]) ).

tff(c_45406,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_850,c_45399]) ).

tff(c_45408,plain,
    v12_altcat_1(k4_waybel34('#skF_1')),
    inference(splitRight,[status(thm)],[c_45395]) ).

tff(c_294,plain,
    ! [A_115] :
      ( l2_altcat_1(k4_waybel34(A_115))
      | v1_xboole_0(A_115) ),
    inference(cnfTransformation,[status(thm)],[f_751]) ).

tff(c_45407,plain,
    ( ~ l2_altcat_1(k4_waybel34('#skF_1'))
    | ~ v16_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ m2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ v21_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ v2_altcat_1(k8_waybel34('#skF_1'))
    | ~ v3_altcat_2(k8_waybel34('#skF_1'),k4_waybel34('#skF_1'))
    | ~ m1_altcat_2(k8_waybel34('#skF_1'),k4_waybel34('#skF_1'))
    | ~ v3_altcat_2(k9_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | v3_struct_0(k4_waybel34('#skF_1'))
    | v3_struct_0(k8_waybel34('#skF_1')) ),
    inference(splitRight,[status(thm)],[c_45395]) ).

tff(c_45895,plain,
    ~ v3_altcat_2(k9_waybel34('#skF_1'),k5_waybel34('#skF_1')),
    inference(splitLeft,[status(thm)],[c_45407]) ).

tff(c_45898,plain,
    v2_setfam_1('#skF_1'),
    inference(resolution,[status(thm)],[c_346,c_45895]) ).

tff(c_45902,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4,c_45898]) ).

tff(c_45903,plain,
    ( ~ m1_altcat_2(k8_waybel34('#skF_1'),k4_waybel34('#skF_1'))
    | ~ v3_altcat_2(k8_waybel34('#skF_1'),k4_waybel34('#skF_1'))
    | ~ v2_altcat_1(k8_waybel34('#skF_1'))
    | ~ v21_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ m2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ v16_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ l2_altcat_1(k4_waybel34('#skF_1'))
    | v3_struct_0(k8_waybel34('#skF_1'))
    | v3_struct_0(k4_waybel34('#skF_1')) ),
    inference(splitRight,[status(thm)],[c_45407]) ).

tff(c_47728,plain,
    ~ l2_altcat_1(k4_waybel34('#skF_1')),
    inference(splitLeft,[status(thm)],[c_45903]) ).

tff(c_47731,plain,
    v1_xboole_0('#skF_1'),
    inference(resolution,[status(thm)],[c_294,c_47728]) ).

tff(c_47735,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_850,c_47731]) ).

tff(c_47737,plain,
    l2_altcat_1(k4_waybel34('#skF_1')),
    inference(splitRight,[status(thm)],[c_45903]) ).

tff(c_334,plain,
    ! [A_119] :
      ( m1_altcat_2(k8_waybel34(A_119),k4_waybel34(A_119))
      | v1_xboole_0(A_119) ),
    inference(cnfTransformation,[status(thm)],[f_801]) ).

tff(c_47736,plain,
    ( ~ v16_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ m2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ v21_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ v2_altcat_1(k8_waybel34('#skF_1'))
    | ~ v3_altcat_2(k8_waybel34('#skF_1'),k4_waybel34('#skF_1'))
    | ~ m1_altcat_2(k8_waybel34('#skF_1'),k4_waybel34('#skF_1'))
    | v3_struct_0(k4_waybel34('#skF_1'))
    | v3_struct_0(k8_waybel34('#skF_1')) ),
    inference(splitRight,[status(thm)],[c_45903]) ).

tff(c_48904,plain,
    ~ m1_altcat_2(k8_waybel34('#skF_1'),k4_waybel34('#skF_1')),
    inference(splitLeft,[status(thm)],[c_47736]) ).

tff(c_48907,plain,
    v1_xboole_0('#skF_1'),
    inference(resolution,[status(thm)],[c_334,c_48904]) ).

tff(c_48911,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_850,c_48907]) ).

tff(c_48913,plain,
    m1_altcat_2(k8_waybel34('#skF_1'),k4_waybel34('#skF_1')),
    inference(splitRight,[status(thm)],[c_47736]) ).

tff(c_4264,plain,
    ! [B_1049,A_1050] :
      ( v11_altcat_1(B_1049)
      | ~ v3_altcat_2(B_1049,A_1050)
      | ~ v2_altcat_1(B_1049)
      | v3_struct_0(B_1049)
      | ~ m1_altcat_2(B_1049,A_1050)
      | ~ l2_altcat_1(A_1050)
      | ~ v2_yellow21(A_1050)
      | ~ v12_altcat_1(A_1050)
      | ~ v11_altcat_1(A_1050)
      | ~ v2_altcat_1(A_1050)
      | v3_struct_0(A_1050) ),
    inference(cnfTransformation,[status(thm)],[f_682]) ).

tff(c_4272,plain,
    ! [A_119] :
      ( v11_altcat_1(k8_waybel34(A_119))
      | ~ v2_altcat_1(k8_waybel34(A_119))
      | v3_struct_0(k8_waybel34(A_119))
      | ~ m1_altcat_2(k8_waybel34(A_119),k4_waybel34(A_119))
      | ~ l2_altcat_1(k4_waybel34(A_119))
      | ~ v2_yellow21(k4_waybel34(A_119))
      | ~ v12_altcat_1(k4_waybel34(A_119))
      | ~ v11_altcat_1(k4_waybel34(A_119))
      | ~ v2_altcat_1(k4_waybel34(A_119))
      | v3_struct_0(k4_waybel34(A_119))
      | v1_xboole_0(A_119) ),
    inference(resolution,[status(thm)],[c_336,c_4264]) ).

tff(c_48916,plain,
    ( v11_altcat_1(k8_waybel34('#skF_1'))
    | ~ v2_altcat_1(k8_waybel34('#skF_1'))
    | v3_struct_0(k8_waybel34('#skF_1'))
    | ~ l2_altcat_1(k4_waybel34('#skF_1'))
    | ~ v2_yellow21(k4_waybel34('#skF_1'))
    | ~ v12_altcat_1(k4_waybel34('#skF_1'))
    | ~ v11_altcat_1(k4_waybel34('#skF_1'))
    | ~ v2_altcat_1(k4_waybel34('#skF_1'))
    | v3_struct_0(k4_waybel34('#skF_1'))
    | v1_xboole_0('#skF_1') ),
    inference(resolution,[status(thm)],[c_48913,c_4272]) ).

tff(c_48976,plain,
    ( v11_altcat_1(k8_waybel34('#skF_1'))
    | ~ v2_altcat_1(k8_waybel34('#skF_1'))
    | v3_struct_0(k8_waybel34('#skF_1'))
    | ~ v2_yellow21(k4_waybel34('#skF_1'))
    | v3_struct_0(k4_waybel34('#skF_1'))
    | v1_xboole_0('#skF_1') ),
    inference(demodulation,[status(thm),theory(equality)],[c_21223,c_21260,c_45408,c_47737,c_48916]) ).

tff(c_48977,plain,
    ( v11_altcat_1(k8_waybel34('#skF_1'))
    | ~ v2_altcat_1(k8_waybel34('#skF_1'))
    | v3_struct_0(k8_waybel34('#skF_1'))
    | ~ v2_yellow21(k4_waybel34('#skF_1'))
    | v3_struct_0(k4_waybel34('#skF_1')) ),
    inference(negUnitSimplification,[status(thm)],[c_850,c_48976]) ).

tff(c_49055,plain,
    ~ v2_yellow21(k4_waybel34('#skF_1')),
    inference(splitLeft,[status(thm)],[c_48977]) ).

tff(c_49070,plain,
    v1_xboole_0('#skF_1'),
    inference(resolution,[status(thm)],[c_296,c_49055]) ).

tff(c_49077,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_850,c_49070]) ).

tff(c_49078,plain,
    ( ~ v2_altcat_1(k8_waybel34('#skF_1'))
    | v3_struct_0(k4_waybel34('#skF_1'))
    | v3_struct_0(k8_waybel34('#skF_1'))
    | v11_altcat_1(k8_waybel34('#skF_1')) ),
    inference(splitRight,[status(thm)],[c_48977]) ).

tff(c_49080,plain,
    ~ v2_altcat_1(k8_waybel34('#skF_1')),
    inference(splitLeft,[status(thm)],[c_49078]) ).

tff(c_49084,plain,
    v1_xboole_0('#skF_1'),
    inference(resolution,[status(thm)],[c_340,c_49080]) ).

tff(c_49088,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_850,c_49084]) ).

tff(c_49089,plain,
    ( v11_altcat_1(k8_waybel34('#skF_1'))
    | v3_struct_0(k8_waybel34('#skF_1'))
    | v3_struct_0(k4_waybel34('#skF_1')) ),
    inference(splitRight,[status(thm)],[c_49078]) ).

tff(c_49091,plain,
    v3_struct_0(k4_waybel34('#skF_1')),
    inference(splitLeft,[status(thm)],[c_49089]) ).

tff(c_306,plain,
    ! [A_115] :
      ( ~ v3_struct_0(k4_waybel34(A_115))
      | v1_xboole_0(A_115) ),
    inference(cnfTransformation,[status(thm)],[f_751]) ).

tff(c_49094,plain,
    v1_xboole_0('#skF_1'),
    inference(resolution,[status(thm)],[c_49091,c_306]) ).

tff(c_49101,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_850,c_49094]) ).

tff(c_49103,plain,
    ~ v3_struct_0(k4_waybel34('#skF_1')),
    inference(splitRight,[status(thm)],[c_49089]) ).

tff(c_500,plain,
    ! [A_201] :
      ( v16_functor0(k6_waybel34(A_201),k4_waybel34(A_201),k5_waybel34(A_201))
      | v2_setfam_1(A_201) ),
    inference(cnfTransformation,[status(thm)],[f_1122]) ).

tff(c_49079,plain,
    v2_yellow21(k4_waybel34('#skF_1')),
    inference(splitRight,[status(thm)],[c_48977]) ).

tff(c_150,plain,
    ! [A_66] :
      ( v1_yellow21(A_66)
      | ~ v2_yellow21(A_66)
      | ~ v12_altcat_1(A_66)
      | ~ v11_altcat_1(A_66)
      | ~ v2_altcat_1(A_66)
      | v3_struct_0(A_66)
      | ~ l2_altcat_1(A_66) ),
    inference(cnfTransformation,[status(thm)],[f_383]) ).

tff(c_49106,plain,
    ( v1_yellow21(k4_waybel34('#skF_1'))
    | ~ v2_yellow21(k4_waybel34('#skF_1'))
    | ~ v12_altcat_1(k4_waybel34('#skF_1'))
    | ~ v11_altcat_1(k4_waybel34('#skF_1'))
    | ~ v2_altcat_1(k4_waybel34('#skF_1'))
    | ~ l2_altcat_1(k4_waybel34('#skF_1')) ),
    inference(resolution,[status(thm)],[c_150,c_49103]) ).

tff(c_49115,plain,
    v1_yellow21(k4_waybel34('#skF_1')),
    inference(demodulation,[status(thm),theory(equality)],[c_47737,c_21223,c_21260,c_45408,c_49079,c_49106]) ).

tff(c_49090,plain,
    v2_altcat_1(k8_waybel34('#skF_1')),
    inference(splitRight,[status(thm)],[c_49078]) ).

tff(c_4361,plain,
    ! [A_119] :
      ( v11_altcat_1(k8_waybel34(A_119))
      | ~ v2_altcat_1(k8_waybel34(A_119))
      | v3_struct_0(k8_waybel34(A_119))
      | ~ m1_altcat_2(k8_waybel34(A_119),k4_waybel34(A_119))
      | ~ l2_altcat_1(k4_waybel34(A_119))
      | ~ v1_yellow21(k4_waybel34(A_119))
      | ~ v12_altcat_1(k4_waybel34(A_119))
      | ~ v11_altcat_1(k4_waybel34(A_119))
      | ~ v2_altcat_1(k4_waybel34(A_119))
      | v3_struct_0(k4_waybel34(A_119))
      | v1_xboole_0(A_119) ),
    inference(resolution,[status(thm)],[c_336,c_4353]) ).

tff(c_48922,plain,
    ( v11_altcat_1(k8_waybel34('#skF_1'))
    | ~ v2_altcat_1(k8_waybel34('#skF_1'))
    | v3_struct_0(k8_waybel34('#skF_1'))
    | ~ l2_altcat_1(k4_waybel34('#skF_1'))
    | ~ v1_yellow21(k4_waybel34('#skF_1'))
    | ~ v12_altcat_1(k4_waybel34('#skF_1'))
    | ~ v11_altcat_1(k4_waybel34('#skF_1'))
    | ~ v2_altcat_1(k4_waybel34('#skF_1'))
    | v3_struct_0(k4_waybel34('#skF_1'))
    | v1_xboole_0('#skF_1') ),
    inference(resolution,[status(thm)],[c_48913,c_4361]) ).

tff(c_48984,plain,
    ( v11_altcat_1(k8_waybel34('#skF_1'))
    | ~ v2_altcat_1(k8_waybel34('#skF_1'))
    | v3_struct_0(k8_waybel34('#skF_1'))
    | ~ v1_yellow21(k4_waybel34('#skF_1'))
    | v3_struct_0(k4_waybel34('#skF_1'))
    | v1_xboole_0('#skF_1') ),
    inference(demodulation,[status(thm),theory(equality)],[c_21223,c_21260,c_45408,c_47737,c_48922]) ).

tff(c_48985,plain,
    ( v11_altcat_1(k8_waybel34('#skF_1'))
    | ~ v2_altcat_1(k8_waybel34('#skF_1'))
    | v3_struct_0(k8_waybel34('#skF_1'))
    | ~ v1_yellow21(k4_waybel34('#skF_1'))
    | v3_struct_0(k4_waybel34('#skF_1')) ),
    inference(negUnitSimplification,[status(thm)],[c_850,c_48984]) ).

tff(c_49135,plain,
    ( v11_altcat_1(k8_waybel34('#skF_1'))
    | v3_struct_0(k8_waybel34('#skF_1'))
    | v3_struct_0(k4_waybel34('#skF_1')) ),
    inference(demodulation,[status(thm),theory(equality)],[c_49115,c_49090,c_48985]) ).

tff(c_49136,plain,
    ( v11_altcat_1(k8_waybel34('#skF_1'))
    | v3_struct_0(k8_waybel34('#skF_1')) ),
    inference(negUnitSimplification,[status(thm)],[c_49103,c_49135]) ).

tff(c_49137,plain,
    v3_struct_0(k8_waybel34('#skF_1')),
    inference(splitLeft,[status(thm)],[c_49136]) ).

tff(c_342,plain,
    ! [A_119] :
      ( ~ v3_struct_0(k8_waybel34(A_119))
      | v1_xboole_0(A_119) ),
    inference(cnfTransformation,[status(thm)],[f_801]) ).

tff(c_49140,plain,
    v1_xboole_0('#skF_1'),
    inference(resolution,[status(thm)],[c_49137,c_342]) ).

tff(c_49144,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_850,c_49140]) ).

tff(c_49146,plain,
    ~ v3_struct_0(k8_waybel34('#skF_1')),
    inference(splitRight,[status(thm)],[c_49136]) ).

tff(c_48912,plain,
    ( ~ v3_altcat_2(k8_waybel34('#skF_1'),k4_waybel34('#skF_1'))
    | ~ v2_altcat_1(k8_waybel34('#skF_1'))
    | ~ v21_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ m2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ v16_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | v3_struct_0(k8_waybel34('#skF_1'))
    | v3_struct_0(k4_waybel34('#skF_1')) ),
    inference(splitRight,[status(thm)],[c_47736]) ).

tff(c_49418,plain,
    ( ~ v3_altcat_2(k8_waybel34('#skF_1'),k4_waybel34('#skF_1'))
    | ~ v21_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ m2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ v16_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | v3_struct_0(k8_waybel34('#skF_1'))
    | v3_struct_0(k4_waybel34('#skF_1')) ),
    inference(demodulation,[status(thm),theory(equality)],[c_49090,c_48912]) ).

tff(c_49419,plain,
    ( ~ v3_altcat_2(k8_waybel34('#skF_1'),k4_waybel34('#skF_1'))
    | ~ v21_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ m2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ v16_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1')) ),
    inference(negUnitSimplification,[status(thm)],[c_49103,c_49146,c_49418]) ).

tff(c_49420,plain,
    ~ v16_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1')),
    inference(splitLeft,[status(thm)],[c_49419]) ).

tff(c_49426,plain,
    v2_setfam_1('#skF_1'),
    inference(resolution,[status(thm)],[c_500,c_49420]) ).

tff(c_49434,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4,c_49426]) ).

tff(c_49436,plain,
    v16_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1')),
    inference(splitRight,[status(thm)],[c_49419]) ).

tff(c_178,plain,
    ! [C_75,A_72,B_73] :
      ( v11_functor0(C_75,A_72,B_73)
      | ~ v16_functor0(C_75,A_72,B_73)
      | ~ m2_functor0(C_75,A_72,B_73)
      | ~ l2_altcat_1(B_73)
      | ~ v12_altcat_1(B_73)
      | v3_struct_0(B_73)
      | ~ l2_altcat_1(A_72)
      | ~ v12_altcat_1(A_72)
      | ~ v2_altcat_1(A_72)
      | v3_struct_0(A_72) ),
    inference(cnfTransformation,[status(thm)],[f_432]) ).

tff(c_49439,plain,
    ( v11_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ m2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ l2_altcat_1(k5_waybel34('#skF_1'))
    | ~ v12_altcat_1(k5_waybel34('#skF_1'))
    | v3_struct_0(k5_waybel34('#skF_1'))
    | ~ l2_altcat_1(k4_waybel34('#skF_1'))
    | ~ v12_altcat_1(k4_waybel34('#skF_1'))
    | ~ v2_altcat_1(k4_waybel34('#skF_1'))
    | v3_struct_0(k4_waybel34('#skF_1')) ),
    inference(resolution,[status(thm)],[c_49436,c_178]) ).

tff(c_49445,plain,
    ( v11_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ m2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | v3_struct_0(k5_waybel34('#skF_1'))
    | v3_struct_0(k4_waybel34('#skF_1')) ),
    inference(demodulation,[status(thm),theory(equality)],[c_21223,c_45408,c_47737,c_21559,c_21485,c_49439]) ).

tff(c_49446,plain,
    ( v11_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ m2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1')) ),
    inference(negUnitSimplification,[status(thm)],[c_49103,c_26768,c_49445]) ).

tff(c_49451,plain,
    ~ m2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1')),
    inference(splitLeft,[status(thm)],[c_49446]) ).

tff(c_49454,plain,
    v2_setfam_1('#skF_1'),
    inference(resolution,[status(thm)],[c_322,c_49451]) ).

tff(c_49458,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4,c_49454]) ).

tff(c_49460,plain,
    m2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1')),
    inference(splitRight,[status(thm)],[c_49446]) ).

tff(c_49435,plain,
    ( ~ m2_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ v21_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ v3_altcat_2(k8_waybel34('#skF_1'),k4_waybel34('#skF_1')) ),
    inference(splitRight,[status(thm)],[c_49419]) ).

tff(c_49497,plain,
    ( ~ v21_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1'))
    | ~ v3_altcat_2(k8_waybel34('#skF_1'),k4_waybel34('#skF_1')) ),
    inference(demodulation,[status(thm),theory(equality)],[c_49460,c_49435]) ).

tff(c_49498,plain,
    ~ v3_altcat_2(k8_waybel34('#skF_1'),k4_waybel34('#skF_1')),
    inference(splitLeft,[status(thm)],[c_49497]) ).

tff(c_49501,plain,
    v1_xboole_0('#skF_1'),
    inference(resolution,[status(thm)],[c_336,c_49498]) ).

tff(c_49505,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_850,c_49501]) ).

tff(c_49506,plain,
    ~ v21_functor0(k6_waybel34('#skF_1'),k4_waybel34('#skF_1'),k5_waybel34('#skF_1')),
    inference(splitRight,[status(thm)],[c_49497]) ).

tff(c_49734,plain,
    v2_setfam_1('#skF_1'),
    inference(resolution,[status(thm)],[c_498,c_49506]) ).

tff(c_49738,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4,c_49734]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : LAT376+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.15  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36  % Computer : n002.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu Aug  3 12:45:46 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 40.54/24.16  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 40.54/24.19  
% 40.54/24.19  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 40.80/24.24  
% 40.80/24.24  Inference rules
% 40.80/24.24  ----------------------
% 40.80/24.24  #Ref     : 21
% 40.80/24.24  #Sup     : 11162
% 40.80/24.24  #Fact    : 0
% 40.80/24.24  #Define  : 0
% 40.80/24.24  #Split   : 98
% 40.80/24.24  #Chain   : 0
% 40.80/24.24  #Close   : 0
% 40.80/24.24  
% 40.80/24.24  Ordering : KBO
% 40.80/24.24  
% 40.80/24.24  Simplification rules
% 40.80/24.24  ----------------------
% 40.80/24.24  #Subsume      : 7571
% 40.80/24.24  #Demod        : 1943
% 40.80/24.24  #Tautology    : 830
% 40.80/24.24  #SimpNegUnit  : 5984
% 40.80/24.24  #BackRed      : 5472
% 40.80/24.24  
% 40.80/24.24  #Partial instantiations: 0
% 40.80/24.24  #Strategies tried      : 1
% 40.80/24.24  
% 40.80/24.24  Timing (in seconds)
% 40.80/24.24  ----------------------
% 40.80/24.25  Preprocessing        : 0.95
% 40.80/24.25  Parsing              : 0.50
% 40.80/24.25  CNF conversion       : 0.09
% 40.80/24.25  Main loop            : 22.19
% 40.80/24.25  Inferencing          : 7.33
% 40.80/24.25  Reduction            : 6.81
% 40.80/24.25  Demodulation         : 4.80
% 40.80/24.25  BG Simplification    : 0.14
% 40.80/24.25  Subsumption          : 6.87
% 40.80/24.25  Abstraction          : 0.18
% 40.80/24.25  MUC search           : 0.00
% 40.80/24.25  Cooper               : 0.00
% 40.80/24.25  Total                : 23.23
% 40.80/24.25  Index Insertion      : 0.00
% 40.80/24.25  Index Deletion       : 0.00
% 40.80/24.25  Index Matching       : 0.00
% 40.80/24.25  BG Taut test         : 0.00
%------------------------------------------------------------------------------