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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : LAT361+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:48:37 AM UTC 2026

% Result   : Theorem 6.40s 3.66s
% Output   : Refutation 6.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   41
% Syntax   : Number of formulae    :  330 (  47 unt;  24 def)
%            Number of atoms       : 1704 ( 128 equ)
%            Maximal formula atoms :   23 (   5 avg)
%            Number of connectives : 2279 ( 905   ~;1093   |; 221   &)
%                                         (  24 <=>;  36  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   6 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   53 (  51 usr;  25 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   1 con; 0-5 aty)
%            Number of variables   :  165 (   0 sgn 164   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k6_waybel34(X0)) = k12_functor0(k5_waybel34(X0))
        & k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k7_waybel34(X0)) = k12_functor0(k4_waybel34(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_waybel34) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ~ v2_setfam_1(X0)
       => ( k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k6_waybel34(X0)) = k12_functor0(k5_waybel34(X0))
          & k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k7_waybel34(X0)) = k12_functor0(k4_waybel34(X0)) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f4,axiom,
    ! [X0,X1,X2] :
      ( ( l1_altcat_1(X0)
        & l1_altcat_1(X1)
        & l2_functor0(X2,X0,X1) )
     => ( v9_functor0(X2,X0,X1)
       => X2 = g2_functor0(X0,X1,u1_functor0(X0,X1,X2),u2_functor0(X0,X1,X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v9_functor0) ).

fof(f26,axiom,
    ! [X0] :
      ( l2_altcat_1(X0)
     => ( ( ~ v3_struct_0(X0)
          & v12_altcat_1(X0) )
       => ( ~ v3_struct_0(X0)
          & v1_altcat_2(X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_functor0) ).

fof(f29,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ~ v1_xboole_0(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_setfam_1) ).

fof(f45,axiom,
    ! [X0,X1,X2] :
      ( ( ~ v3_struct_0(X0)
        & l1_altcat_1(X0)
        & ~ v3_struct_0(X1)
        & l1_altcat_1(X1)
        & l2_functor0(X2,X0,X1) )
     => ( v9_functor0(k15_functor0(X0,X1,X2),X1,X0)
        & l2_functor0(k15_functor0(X0,X1,X2),X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k15_functor0) ).

fof(f52,axiom,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
     => ( ~ v3_struct_0(k4_waybel34(X0))
        & v2_altcat_1(k4_waybel34(X0))
        & v6_altcat_1(k4_waybel34(X0))
        & v11_altcat_1(k4_waybel34(X0))
        & v12_altcat_1(k4_waybel34(X0))
        & v2_yellow21(k4_waybel34(X0))
        & l2_altcat_1(k4_waybel34(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_waybel34) ).

fof(f53,axiom,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
     => ( ~ v3_struct_0(k5_waybel34(X0))
        & v2_altcat_1(k5_waybel34(X0))
        & v6_altcat_1(k5_waybel34(X0))
        & v11_altcat_1(k5_waybel34(X0))
        & v12_altcat_1(k5_waybel34(X0))
        & v2_yellow21(k5_waybel34(X0))
        & l2_altcat_1(k5_waybel34(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_waybel34) ).

fof(f54,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_waybel34) ).

fof(f59,axiom,
    ! [X0] :
      ( l2_altcat_1(X0)
     => l1_altcat_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_altcat_1) ).

fof(f65,axiom,
    ! [X0,X1] :
      ( ( ~ v3_struct_0(X0)
        & v2_altcat_1(X0)
        & v12_altcat_1(X0)
        & l2_altcat_1(X0)
        & ~ v3_struct_0(X1)
        & v12_altcat_1(X1)
        & l2_altcat_1(X1) )
     => ! [X2] :
          ( m2_functor0(X2,X0,X1)
         => l2_functor0(X2,X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_functor0) ).

fof(f97,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( ~ v3_struct_0(k4_waybel34(X0))
        & v2_altcat_1(k4_waybel34(X0))
        & v6_altcat_1(k4_waybel34(X0))
        & v9_altcat_1(k4_waybel34(X0))
        & v11_altcat_1(k4_waybel34(X0))
        & v12_altcat_1(k4_waybel34(X0))
        & v1_altcat_2(k4_waybel34(X0))
        & v2_yellow18(k4_waybel34(X0))
        & v3_yellow18(k4_waybel34(X0))
        & v4_yellow18(k4_waybel34(X0))
        & v1_yellow21(k4_waybel34(X0))
        & v2_yellow21(k4_waybel34(X0))
        & v3_yellow21(k4_waybel34(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_waybel34) ).

fof(f99,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( ~ v3_struct_0(k5_waybel34(X0))
        & v2_altcat_1(k5_waybel34(X0))
        & v6_altcat_1(k5_waybel34(X0))
        & v9_altcat_1(k5_waybel34(X0))
        & v11_altcat_1(k5_waybel34(X0))
        & v12_altcat_1(k5_waybel34(X0))
        & v1_altcat_2(k5_waybel34(X0))
        & v2_yellow18(k5_waybel34(X0))
        & v3_yellow18(k5_waybel34(X0))
        & v4_yellow18(k5_waybel34(X0))
        & v1_yellow21(k5_waybel34(X0))
        & v2_yellow21(k5_waybel34(X0))
        & v3_yellow21(k5_waybel34(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_waybel34) ).

fof(f101,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( v6_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v12_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc7_waybel34) ).

fof(f102,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( v6_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v8_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v9_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v11_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v12_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v14_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v16_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v21_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc8_waybel34) ).

fof(f126,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v2_altcat_1(X0)
        & v12_altcat_1(X0)
        & l2_altcat_1(X0) )
     => k12_functor0(X0) = k11_functor0(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k12_functor0) ).

fof(f129,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) = k7_waybel34(X0)
        & k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)) = k6_waybel34(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_waybel34) ).

fof(f131,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v2_altcat_1(X0)
        & v12_altcat_1(X0)
        & v1_altcat_2(X0)
        & l2_altcat_1(X0) )
     => ! [X1] :
          ( ( ~ v3_struct_0(X1)
            & v2_altcat_1(X1)
            & v12_altcat_1(X1)
            & v1_altcat_2(X1)
            & l2_altcat_1(X1) )
         => ! [X2] :
              ( ( v8_functor0(X2,X0,X1)
                & l2_functor0(X2,X0,X1) )
             => ( v21_functor0(X2,X0,X1)
               => ! [X3] :
                    ( ( v8_functor0(X3,X1,X0)
                      & l2_functor0(X3,X1,X0) )
                   => ( g2_functor0(X1,X0,u1_functor0(X1,X0,X3),u2_functor0(X1,X0,X3)) = k15_functor0(X0,X1,X2)
                     => k13_functor0(X1,X0,X1,X3,X2) = k12_functor0(X1) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_functor1) ).

fof(f141,plain,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( ~ v3_struct_0(k4_waybel34(X0))
        & v2_altcat_1(k4_waybel34(X0))
        & v6_altcat_1(k4_waybel34(X0))
        & v9_altcat_1(k4_waybel34(X0))
        & v11_altcat_1(k4_waybel34(X0))
        & v12_altcat_1(k4_waybel34(X0))
        & v1_altcat_2(k4_waybel34(X0))
        & v2_yellow18(k4_waybel34(X0))
        & v3_yellow18(k4_waybel34(X0))
        & v4_yellow18(k4_waybel34(X0))
        & v2_yellow21(k4_waybel34(X0))
        & v3_yellow21(k4_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f97]) ).

fof(f142,plain,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( ~ v3_struct_0(k5_waybel34(X0))
        & v2_altcat_1(k5_waybel34(X0))
        & v6_altcat_1(k5_waybel34(X0))
        & v9_altcat_1(k5_waybel34(X0))
        & v11_altcat_1(k5_waybel34(X0))
        & v12_altcat_1(k5_waybel34(X0))
        & v1_altcat_2(k5_waybel34(X0))
        & v2_yellow18(k5_waybel34(X0))
        & v3_yellow18(k5_waybel34(X0))
        & v4_yellow18(k5_waybel34(X0))
        & v2_yellow21(k5_waybel34(X0))
        & v3_yellow21(k5_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f99]) ).

fof(f146,plain,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( ~ v3_struct_0(k4_waybel34(X0))
        & v2_altcat_1(k4_waybel34(X0))
        & v6_altcat_1(k4_waybel34(X0))
        & v9_altcat_1(k4_waybel34(X0))
        & v11_altcat_1(k4_waybel34(X0))
        & v12_altcat_1(k4_waybel34(X0))
        & v1_altcat_2(k4_waybel34(X0))
        & v2_yellow18(k4_waybel34(X0))
        & v3_yellow18(k4_waybel34(X0))
        & v2_yellow21(k4_waybel34(X0))
        & v3_yellow21(k4_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f141]) ).

fof(f148,plain,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( ~ v3_struct_0(k5_waybel34(X0))
        & v2_altcat_1(k5_waybel34(X0))
        & v6_altcat_1(k5_waybel34(X0))
        & v9_altcat_1(k5_waybel34(X0))
        & v11_altcat_1(k5_waybel34(X0))
        & v12_altcat_1(k5_waybel34(X0))
        & v1_altcat_2(k5_waybel34(X0))
        & v2_yellow18(k5_waybel34(X0))
        & v3_yellow18(k5_waybel34(X0))
        & v2_yellow21(k5_waybel34(X0))
        & v3_yellow21(k5_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f142]) ).

fof(f149,plain,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( ~ v3_struct_0(k5_waybel34(X0))
        & v2_altcat_1(k5_waybel34(X0))
        & v6_altcat_1(k5_waybel34(X0))
        & v9_altcat_1(k5_waybel34(X0))
        & v11_altcat_1(k5_waybel34(X0))
        & v12_altcat_1(k5_waybel34(X0))
        & v1_altcat_2(k5_waybel34(X0))
        & v2_yellow18(k5_waybel34(X0))
        & v2_yellow21(k5_waybel34(X0))
        & v3_yellow21(k5_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f148]) ).

fof(f150,plain,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( ~ v3_struct_0(k4_waybel34(X0))
        & v2_altcat_1(k4_waybel34(X0))
        & v6_altcat_1(k4_waybel34(X0))
        & v9_altcat_1(k4_waybel34(X0))
        & v11_altcat_1(k4_waybel34(X0))
        & v12_altcat_1(k4_waybel34(X0))
        & v1_altcat_2(k4_waybel34(X0))
        & v2_yellow18(k4_waybel34(X0))
        & v2_yellow21(k4_waybel34(X0))
        & v3_yellow21(k4_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f146]) ).

fof(f153,plain,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( ~ v3_struct_0(k4_waybel34(X0))
        & v2_altcat_1(k4_waybel34(X0))
        & v6_altcat_1(k4_waybel34(X0))
        & v9_altcat_1(k4_waybel34(X0))
        & v11_altcat_1(k4_waybel34(X0))
        & v12_altcat_1(k4_waybel34(X0))
        & v1_altcat_2(k4_waybel34(X0))
        & v2_yellow21(k4_waybel34(X0))
        & v3_yellow21(k4_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f150]) ).

fof(f155,plain,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( ~ v3_struct_0(k5_waybel34(X0))
        & v2_altcat_1(k5_waybel34(X0))
        & v6_altcat_1(k5_waybel34(X0))
        & v9_altcat_1(k5_waybel34(X0))
        & v11_altcat_1(k5_waybel34(X0))
        & v12_altcat_1(k5_waybel34(X0))
        & v1_altcat_2(k5_waybel34(X0))
        & v2_yellow21(k5_waybel34(X0))
        & v3_yellow21(k5_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f149]) ).

fof(f159,plain,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( ~ v3_struct_0(k4_waybel34(X0))
        & v2_altcat_1(k4_waybel34(X0))
        & v6_altcat_1(k4_waybel34(X0))
        & v11_altcat_1(k4_waybel34(X0))
        & v12_altcat_1(k4_waybel34(X0))
        & v1_altcat_2(k4_waybel34(X0))
        & v2_yellow21(k4_waybel34(X0))
        & v3_yellow21(k4_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f153]) ).

fof(f160,plain,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( ~ v3_struct_0(k5_waybel34(X0))
        & v2_altcat_1(k5_waybel34(X0))
        & v6_altcat_1(k5_waybel34(X0))
        & v11_altcat_1(k5_waybel34(X0))
        & v12_altcat_1(k5_waybel34(X0))
        & v1_altcat_2(k5_waybel34(X0))
        & v2_yellow21(k5_waybel34(X0))
        & v3_yellow21(k5_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f155]) ).

fof(f180,plain,
    ? [X0] :
      ( ( k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k6_waybel34(X0)) != k12_functor0(k5_waybel34(X0))
        | k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k7_waybel34(X0)) != k12_functor0(k4_waybel34(X0)) )
      & ~ v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f183,plain,
    ! [X0,X1,X2] :
      ( X2 = g2_functor0(X0,X1,u1_functor0(X0,X1,X2),u2_functor0(X0,X1,X2))
      | ~ v9_functor0(X2,X0,X1)
      | ~ l1_altcat_1(X0)
      | ~ l1_altcat_1(X1)
      | ~ l2_functor0(X2,X0,X1) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f184,plain,
    ! [X0,X1,X2] :
      ( X2 = g2_functor0(X0,X1,u1_functor0(X0,X1,X2),u2_functor0(X0,X1,X2))
      | ~ v9_functor0(X2,X0,X1)
      | ~ l1_altcat_1(X0)
      | ~ l1_altcat_1(X1)
      | ~ l2_functor0(X2,X0,X1) ),
    inference(flattening,[],[f183]) ).

fof(f203,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v1_altcat_2(X0) )
      | v3_struct_0(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f204,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v1_altcat_2(X0) )
      | v3_struct_0(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0) ),
    inference(flattening,[],[f203]) ).

fof(f208,plain,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f236,plain,
    ! [X0,X1,X2] :
      ( ( v9_functor0(k15_functor0(X0,X1,X2),X1,X0)
        & l2_functor0(k15_functor0(X0,X1,X2),X1,X0) )
      | v3_struct_0(X0)
      | ~ l1_altcat_1(X0)
      | v3_struct_0(X1)
      | ~ l1_altcat_1(X1)
      | ~ l2_functor0(X2,X0,X1) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f237,plain,
    ! [X0,X1,X2] :
      ( ( v9_functor0(k15_functor0(X0,X1,X2),X1,X0)
        & l2_functor0(k15_functor0(X0,X1,X2),X1,X0) )
      | v3_struct_0(X0)
      | ~ l1_altcat_1(X0)
      | v3_struct_0(X1)
      | ~ l1_altcat_1(X1)
      | ~ l2_functor0(X2,X0,X1) ),
    inference(flattening,[],[f236]) ).

fof(f241,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k4_waybel34(X0))
        & v2_altcat_1(k4_waybel34(X0))
        & v6_altcat_1(k4_waybel34(X0))
        & v11_altcat_1(k4_waybel34(X0))
        & v12_altcat_1(k4_waybel34(X0))
        & v2_yellow21(k4_waybel34(X0))
        & l2_altcat_1(k4_waybel34(X0)) )
      | v1_xboole_0(X0) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f242,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k5_waybel34(X0))
        & v2_altcat_1(k5_waybel34(X0))
        & v6_altcat_1(k5_waybel34(X0))
        & v11_altcat_1(k5_waybel34(X0))
        & v12_altcat_1(k5_waybel34(X0))
        & v2_yellow21(k5_waybel34(X0))
        & l2_altcat_1(k5_waybel34(X0)) )
      | v1_xboole_0(X0) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f243,plain,
    ! [X0] :
      ( ( v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) )
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f246,plain,
    ! [X0] :
      ( l1_altcat_1(X0)
      | ~ l2_altcat_1(X0) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f252,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( l2_functor0(X2,X0,X1)
          | ~ m2_functor0(X2,X0,X1) )
      | v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0)
      | v3_struct_0(X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f253,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( l2_functor0(X2,X0,X1)
          | ~ m2_functor0(X2,X0,X1) )
      | v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0)
      | v3_struct_0(X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1) ),
    inference(flattening,[],[f252]) ).

fof(f296,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k4_waybel34(X0))
        & v2_altcat_1(k4_waybel34(X0))
        & v6_altcat_1(k4_waybel34(X0))
        & v11_altcat_1(k4_waybel34(X0))
        & v12_altcat_1(k4_waybel34(X0))
        & v1_altcat_2(k4_waybel34(X0))
        & v2_yellow21(k4_waybel34(X0))
        & v3_yellow21(k4_waybel34(X0)) )
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f159]) ).

fof(f297,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k5_waybel34(X0))
        & v2_altcat_1(k5_waybel34(X0))
        & v6_altcat_1(k5_waybel34(X0))
        & v11_altcat_1(k5_waybel34(X0))
        & v12_altcat_1(k5_waybel34(X0))
        & v1_altcat_2(k5_waybel34(X0))
        & v2_yellow21(k5_waybel34(X0))
        & v3_yellow21(k5_waybel34(X0)) )
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f160]) ).

fof(f300,plain,
    ! [X0] :
      ( ( v6_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v12_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) )
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f101]) ).

fof(f301,plain,
    ! [X0] :
      ( ( v6_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v8_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v9_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v11_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v12_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v14_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v16_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
        & v21_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0)) )
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f102]) ).

fof(f327,plain,
    ! [X0] :
      ( k12_functor0(X0) = k11_functor0(X0)
      | v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0) ),
    inference(ennf_transformation,[],[f126]) ).

fof(f328,plain,
    ! [X0] :
      ( k12_functor0(X0) = k11_functor0(X0)
      | v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0) ),
    inference(flattening,[],[f327]) ).

fof(f329,plain,
    ! [X0] :
      ( ( k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) = k7_waybel34(X0)
        & k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)) = k6_waybel34(X0) )
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f129]) ).

fof(f331,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( k13_functor0(X1,X0,X1,X3,X2) = k12_functor0(X1)
                  | k15_functor0(X0,X1,X2) != g2_functor0(X1,X0,u1_functor0(X1,X0,X3),u2_functor0(X1,X0,X3))
                  | ~ v8_functor0(X3,X1,X0)
                  | ~ l2_functor0(X3,X1,X0) )
              | ~ v21_functor0(X2,X0,X1)
              | ~ v8_functor0(X2,X0,X1)
              | ~ l2_functor0(X2,X0,X1) )
          | v3_struct_0(X1)
          | ~ v2_altcat_1(X1)
          | ~ v12_altcat_1(X1)
          | ~ v1_altcat_2(X1)
          | ~ l2_altcat_1(X1) )
      | v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ v1_altcat_2(X0)
      | ~ l2_altcat_1(X0) ),
    inference(ennf_transformation,[],[f131]) ).

fof(f332,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( k13_functor0(X1,X0,X1,X3,X2) = k12_functor0(X1)
                  | k15_functor0(X0,X1,X2) != g2_functor0(X1,X0,u1_functor0(X1,X0,X3),u2_functor0(X1,X0,X3))
                  | ~ v8_functor0(X3,X1,X0)
                  | ~ l2_functor0(X3,X1,X0) )
              | ~ v21_functor0(X2,X0,X1)
              | ~ v8_functor0(X2,X0,X1)
              | ~ l2_functor0(X2,X0,X1) )
          | v3_struct_0(X1)
          | ~ v2_altcat_1(X1)
          | ~ v12_altcat_1(X1)
          | ~ v1_altcat_2(X1)
          | ~ l2_altcat_1(X1) )
      | v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ v1_altcat_2(X0)
      | ~ l2_altcat_1(X0) ),
    inference(flattening,[],[f331]) ).

fof(f342,plain,
    ( k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),k7_waybel34(sK0)) != k12_functor0(k4_waybel34(sK0))
    | k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),k6_waybel34(sK0)) != k12_functor0(k5_waybel34(sK0)) ),
    inference(cnf_transformation,[],[f180]) ).

fof(f343,plain,
    ~ v2_setfam_1(sK0),
    inference(cnf_transformation,[],[f180]) ).

fof(f345,plain,
    ! [X2,X0,X1] :
      ( ~ v9_functor0(X2,X0,X1)
      | ~ l1_altcat_1(X1)
      | ~ l1_altcat_1(X0)
      | ~ l2_functor0(X2,X0,X1)
      | g2_functor0(X0,X1,u1_functor0(X0,X1,X2),u2_functor0(X0,X1,X2)) = X2 ),
    inference(cnf_transformation,[],[f184]) ).

fof(f376,plain,
    ! [X0] :
      ( v1_altcat_2(X0)
      | ~ v12_altcat_1(X0)
      | v3_struct_0(X0)
      | ~ l2_altcat_1(X0) ),
    inference(cnf_transformation,[],[f204]) ).

fof(f383,plain,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f208]) ).

fof(f415,plain,
    ! [X2,X0,X1] :
      ( l2_functor0(k15_functor0(X0,X1,X2),X1,X0)
      | ~ l1_altcat_1(X1)
      | v3_struct_0(X1)
      | ~ l1_altcat_1(X0)
      | v3_struct_0(X0)
      | ~ l2_functor0(X2,X0,X1) ),
    inference(cnf_transformation,[],[f237]) ).

fof(f416,plain,
    ! [X2,X0,X1] :
      ( v9_functor0(k15_functor0(X0,X1,X2),X1,X0)
      | ~ l1_altcat_1(X1)
      | v3_struct_0(X1)
      | ~ l1_altcat_1(X0)
      | v3_struct_0(X0)
      | ~ l2_functor0(X2,X0,X1) ),
    inference(cnf_transformation,[],[f237]) ).

fof(f419,plain,
    ! [X0] :
      ( l2_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f241]) ).

fof(f421,plain,
    ! [X0] :
      ( v12_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f241]) ).

fof(f424,plain,
    ! [X0] :
      ( v2_altcat_1(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f241]) ).

fof(f425,plain,
    ! [X0] :
      ( ~ v3_struct_0(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f241]) ).

fof(f426,plain,
    ! [X0] :
      ( l2_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f242]) ).

fof(f428,plain,
    ! [X0] :
      ( v12_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f242]) ).

fof(f431,plain,
    ! [X0] :
      ( v2_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f242]) ).

fof(f432,plain,
    ! [X0] :
      ( ~ v3_struct_0(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f242]) ).

fof(f433,plain,
    ! [X0] :
      ( m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f243]) ).

fof(f440,plain,
    ! [X0] :
      ( l1_altcat_1(X0)
      | ~ l2_altcat_1(X0) ),
    inference(cnf_transformation,[],[f246]) ).

fof(f445,plain,
    ! [X2,X0,X1] :
      ( ~ m2_functor0(X2,X0,X1)
      | ~ v12_altcat_1(X1)
      | v3_struct_0(X1)
      | ~ l2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ v2_altcat_1(X0)
      | v3_struct_0(X0)
      | ~ l2_altcat_1(X1)
      | l2_functor0(X2,X0,X1) ),
    inference(cnf_transformation,[],[f253]) ).

fof(f493,plain,
    ! [X0] :
      ( v1_altcat_2(k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f296]) ).

fof(f494,plain,
    ! [X0] :
      ( v12_altcat_1(k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f296]) ).

fof(f497,plain,
    ! [X0] :
      ( v2_altcat_1(k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f296]) ).

fof(f498,plain,
    ! [X0] :
      ( ~ v3_struct_0(k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f296]) ).

fof(f507,plain,
    ! [X0] :
      ( v1_altcat_2(k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f297]) ).

fof(f508,plain,
    ! [X0] :
      ( v12_altcat_1(k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f297]) ).

fof(f511,plain,
    ! [X0] :
      ( v2_altcat_1(k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f297]) ).

fof(f512,plain,
    ! [X0] :
      ( ~ v3_struct_0(k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f297]) ).

fof(f515,plain,
    ! [X0] :
      ( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f300]) ).

fof(f521,plain,
    ! [X0] :
      ( v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f300]) ).

fof(f523,plain,
    ! [X0] :
      ( v21_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f301]) ).

fof(f529,plain,
    ! [X0] :
      ( v8_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f301]) ).

fof(f604,plain,
    ! [X0] :
      ( ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0)
      | v3_struct_0(X0)
      | k11_functor0(X0) = k12_functor0(X0) ),
    inference(cnf_transformation,[],[f328]) ).

fof(f608,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | k6_waybel34(X0) = k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)) ),
    inference(cnf_transformation,[],[f329]) ).

fof(f609,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | k7_waybel34(X0) = k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) ),
    inference(cnf_transformation,[],[f329]) ).

fof(f611,plain,
    ! [X2,X3,X0,X1] :
      ( k15_functor0(X0,X1,X2) != g2_functor0(X1,X0,u1_functor0(X1,X0,X3),u2_functor0(X1,X0,X3))
      | ~ v1_altcat_2(X0)
      | ~ v12_altcat_1(X0)
      | ~ v2_altcat_1(X0)
      | v3_struct_0(X0)
      | ~ l2_altcat_1(X1)
      | ~ v1_altcat_2(X1)
      | ~ v12_altcat_1(X1)
      | ~ v2_altcat_1(X1)
      | v3_struct_0(X1)
      | ~ l2_functor0(X2,X0,X1)
      | ~ v8_functor0(X2,X0,X1)
      | ~ v21_functor0(X2,X0,X1)
      | ~ l2_functor0(X3,X1,X0)
      | ~ v8_functor0(X3,X1,X0)
      | ~ l2_altcat_1(X0)
      | k13_functor0(X1,X0,X1,X3,X2) = k12_functor0(X1) ),
    inference(cnf_transformation,[],[f332]) ).

fof(f620,definition,
    ( spl34_1
  <=> k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),k6_waybel34(sK0)) = k12_functor0(k5_waybel34(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl34_1])],[avatar_definition]) ).

fof(f622,plain,
    ( k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),k6_waybel34(sK0)) != k12_functor0(k5_waybel34(sK0))
    | spl34_1 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f624,definition,
    ( spl34_2
  <=> k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),k7_waybel34(sK0)) = k12_functor0(k4_waybel34(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl34_2])],[avatar_definition]) ).

fof(f626,plain,
    ( k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),k7_waybel34(sK0)) != k12_functor0(k4_waybel34(sK0))
    | spl34_2 ),
    inference(avatar_component_clause,[],[f624]) ).

fof(f627,plain,
    ( ~ spl34_1
    | ~ spl34_2 ),
    inference(avatar_split_clause,[],[f342,f624,f620]) ).

fof(f864,plain,
    k6_waybel34(sK0) = k15_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k7_waybel34(sK0)),
    inference(resolution,[],[f608,f343]) ).

fof(f866,plain,
    k7_waybel34(sK0) = k15_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k6_waybel34(sK0)),
    inference(resolution,[],[f609,f343]) ).

fof(f897,plain,
    ! [X0] :
      ( ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | k12_functor0(k4_waybel34(X0)) = k11_functor0(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(resolution,[],[f604,f424]) ).

fof(f899,plain,
    ! [X0] :
      ( ~ v12_altcat_1(k5_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | k12_functor0(k5_waybel34(X0)) = k11_functor0(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(resolution,[],[f604,f431]) ).

fof(f900,plain,
    ! [X0] :
      ( ~ l2_altcat_1(k5_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | k12_functor0(k5_waybel34(X0)) = k11_functor0(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(forward_subsumption_resolution,[],[f899,f428]) ).

fof(f902,plain,
    ! [X0] :
      ( ~ l2_altcat_1(k4_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | k12_functor0(k4_waybel34(X0)) = k11_functor0(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(forward_subsumption_resolution,[],[f897,f421]) ).

fof(f905,plain,
    ! [X0] :
      ( v3_struct_0(k5_waybel34(X0))
      | k12_functor0(k5_waybel34(X0)) = k11_functor0(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(forward_subsumption_resolution,[],[f900,f426]) ).

fof(f907,plain,
    ! [X0] :
      ( v3_struct_0(k4_waybel34(X0))
      | k12_functor0(k4_waybel34(X0)) = k11_functor0(k4_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(forward_subsumption_resolution,[],[f902,f419]) ).

fof(f910,plain,
    ! [X0] :
      ( v1_xboole_0(X0)
      | k12_functor0(k5_waybel34(X0)) = k11_functor0(k5_waybel34(X0)) ),
    inference(forward_subsumption_resolution,[],[f905,f432]) ).

fof(f911,plain,
    ! [X0] :
      ( v1_xboole_0(X0)
      | k12_functor0(k4_waybel34(X0)) = k11_functor0(k4_waybel34(X0)) ),
    inference(forward_subsumption_resolution,[],[f907,f425]) ).

fof(f979,plain,
    ( l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
    | ~ l1_altcat_1(k5_waybel34(sK0))
    | v3_struct_0(k5_waybel34(sK0))
    | ~ l1_altcat_1(k4_waybel34(sK0))
    | v3_struct_0(k4_waybel34(sK0))
    | ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0)) ),
    inference(superposition,[],[f415,f866]) ).

fof(f981,definition,
    ( spl34_3
  <=> l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl34_3])],[avatar_definition]) ).

fof(f982,plain,
    ( l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
    | ~ spl34_3 ),
    inference(avatar_component_clause,[],[f981]) ).

fof(f983,plain,
    ( ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
    | spl34_3 ),
    inference(avatar_component_clause,[],[f981]) ).

fof(f985,definition,
    ( spl34_4
  <=> v3_struct_0(k4_waybel34(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl34_4])],[avatar_definition]) ).

fof(f986,plain,
    ( ~ v3_struct_0(k4_waybel34(sK0))
    | spl34_4 ),
    inference(avatar_component_clause,[],[f985]) ).

fof(f987,plain,
    ( v3_struct_0(k4_waybel34(sK0))
    | ~ spl34_4 ),
    inference(avatar_component_clause,[],[f985]) ).

fof(f989,definition,
    ( spl34_5
  <=> l1_altcat_1(k4_waybel34(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl34_5])],[avatar_definition]) ).

fof(f990,plain,
    ( l1_altcat_1(k4_waybel34(sK0))
    | ~ spl34_5 ),
    inference(avatar_component_clause,[],[f989]) ).

fof(f991,plain,
    ( ~ l1_altcat_1(k4_waybel34(sK0))
    | spl34_5 ),
    inference(avatar_component_clause,[],[f989]) ).

fof(f993,definition,
    ( spl34_6
  <=> v3_struct_0(k5_waybel34(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl34_6])],[avatar_definition]) ).

fof(f994,plain,
    ( ~ v3_struct_0(k5_waybel34(sK0))
    | spl34_6 ),
    inference(avatar_component_clause,[],[f993]) ).

fof(f995,plain,
    ( v3_struct_0(k5_waybel34(sK0))
    | ~ spl34_6 ),
    inference(avatar_component_clause,[],[f993]) ).

fof(f997,definition,
    ( spl34_7
  <=> l1_altcat_1(k5_waybel34(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl34_7])],[avatar_definition]) ).

fof(f998,plain,
    ( l1_altcat_1(k5_waybel34(sK0))
    | ~ spl34_7 ),
    inference(avatar_component_clause,[],[f997]) ).

fof(f999,plain,
    ( ~ l1_altcat_1(k5_waybel34(sK0))
    | spl34_7 ),
    inference(avatar_component_clause,[],[f997]) ).

fof(f1001,definition,
    ( spl34_8
  <=> l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl34_8])],[avatar_definition]) ).

fof(f1003,plain,
    ( l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
    | ~ spl34_8 ),
    inference(avatar_component_clause,[],[f1001]) ).

fof(f1004,plain,
    ( ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | spl34_8 ),
    inference(avatar_split_clause,[],[f979,f1001,f997,f993,f989,f985,f981]) ).

fof(f1006,plain,
    ( ~ l2_altcat_1(k4_waybel34(sK0))
    | spl34_5 ),
    inference(resolution,[],[f991,f440]) ).

fof(f1007,plain,
    ( v1_xboole_0(sK0)
    | spl34_5 ),
    inference(resolution,[],[f1006,f419]) ).

fof(f1011,plain,
    ( v2_setfam_1(sK0)
    | spl34_5 ),
    inference(resolution,[],[f1007,f383]) ).

fof(f1012,plain,
    ( $false
    | spl34_5 ),
    inference(forward_subsumption_resolution,[],[f1011,f343]) ).

fof(f1013,plain,
    spl34_5,
    inference(avatar_contradiction_clause,[],[f1012]) ).

fof(f1014,plain,
    ( ~ l2_altcat_1(k5_waybel34(sK0))
    | spl34_7 ),
    inference(resolution,[],[f999,f440]) ).

fof(f1015,plain,
    ( v1_xboole_0(sK0)
    | spl34_7 ),
    inference(resolution,[],[f1014,f426]) ).

fof(f1019,plain,
    ( v2_setfam_1(sK0)
    | spl34_7 ),
    inference(resolution,[],[f1015,f383]) ).

fof(f1020,plain,
    ( $false
    | spl34_7 ),
    inference(forward_subsumption_resolution,[],[f1019,f343]) ).

fof(f1021,plain,
    spl34_7,
    inference(avatar_contradiction_clause,[],[f1020]) ).

fof(f1023,plain,
    ( v9_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
    | ~ l1_altcat_1(k4_waybel34(sK0))
    | v3_struct_0(k4_waybel34(sK0))
    | ~ l1_altcat_1(k5_waybel34(sK0))
    | v3_struct_0(k5_waybel34(sK0))
    | ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0)) ),
    inference(superposition,[],[f416,f864]) ).

fof(f1024,plain,
    ( v9_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
    | ~ l1_altcat_1(k5_waybel34(sK0))
    | v3_struct_0(k5_waybel34(sK0))
    | ~ l1_altcat_1(k4_waybel34(sK0))
    | v3_struct_0(k4_waybel34(sK0))
    | ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0)) ),
    inference(superposition,[],[f416,f866]) ).

fof(f1033,plain,
    ! [X0] :
      ( ~ v12_altcat_1(k5_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(resolution,[],[f445,f433]) ).

fof(f1041,plain,
    ! [X0] :
      ( v3_struct_0(k5_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f1033,f508]) ).

fof(f1044,plain,
    ! [X0] :
      ( ~ l2_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f1041,f512]) ).

fof(f1047,plain,
    ! [X0] :
      ( ~ l2_altcat_1(k4_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f1044,f494]) ).

fof(f1050,plain,
    ! [X0] :
      ( ~ l2_altcat_1(k4_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f1047,f497]) ).

fof(f1052,plain,
    ! [X0] :
      ( l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[],[f1050,f498]) ).

fof(f1220,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | k12_functor0(k5_waybel34(X0)) = k11_functor0(k5_waybel34(X0)) ),
    inference(resolution,[],[f910,f383]) ).

fof(f1343,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | k12_functor0(k4_waybel34(X0)) = k11_functor0(k4_waybel34(X0)) ),
    inference(resolution,[],[f911,f383]) ).

fof(f1466,plain,
    k12_functor0(k5_waybel34(sK0)) = k11_functor0(k5_waybel34(sK0)),
    inference(resolution,[],[f1220,f343]) ).

fof(f1478,definition,
    ( spl34_33
  <=> l2_altcat_1(k5_waybel34(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl34_33])],[avatar_definition]) ).

fof(f1479,plain,
    ( l2_altcat_1(k5_waybel34(sK0))
    | ~ spl34_33 ),
    inference(avatar_component_clause,[],[f1478]) ).

fof(f1480,plain,
    ( ~ l2_altcat_1(k5_waybel34(sK0))
    | spl34_33 ),
    inference(avatar_component_clause,[],[f1478]) ).

fof(f1482,definition,
    ( spl34_34
  <=> v2_altcat_1(k5_waybel34(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl34_34])],[avatar_definition]) ).

fof(f1483,plain,
    ( v2_altcat_1(k5_waybel34(sK0))
    | ~ spl34_34 ),
    inference(avatar_component_clause,[],[f1482]) ).

fof(f1484,plain,
    ( ~ v2_altcat_1(k5_waybel34(sK0))
    | spl34_34 ),
    inference(avatar_component_clause,[],[f1482]) ).

fof(f1486,definition,
    ( spl34_35
  <=> v12_altcat_1(k5_waybel34(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl34_35])],[avatar_definition]) ).

fof(f1487,plain,
    ( v12_altcat_1(k5_waybel34(sK0))
    | ~ spl34_35 ),
    inference(avatar_component_clause,[],[f1486]) ).

fof(f1488,plain,
    ( ~ v12_altcat_1(k5_waybel34(sK0))
    | spl34_35 ),
    inference(avatar_component_clause,[],[f1486]) ).

fof(f1499,plain,
    ( v1_xboole_0(sK0)
    | spl34_33 ),
    inference(resolution,[],[f1480,f426]) ).

fof(f1503,plain,
    ( v2_setfam_1(sK0)
    | spl34_33 ),
    inference(resolution,[],[f1499,f383]) ).

fof(f1504,plain,
    ( $false
    | spl34_33 ),
    inference(forward_subsumption_resolution,[],[f1503,f343]) ).

fof(f1505,plain,
    spl34_33,
    inference(avatar_contradiction_clause,[],[f1504]) ).

fof(f1512,plain,
    ( v2_setfam_1(sK0)
    | spl34_34 ),
    inference(resolution,[],[f1484,f511]) ).

fof(f1514,plain,
    ( $false
    | spl34_34 ),
    inference(forward_subsumption_resolution,[],[f1512,f343]) ).

fof(f1515,plain,
    spl34_34,
    inference(avatar_contradiction_clause,[],[f1514]) ).

fof(f1517,plain,
    ( v2_setfam_1(sK0)
    | spl34_35 ),
    inference(resolution,[],[f1488,f508]) ).

fof(f1519,plain,
    ( $false
    | spl34_35 ),
    inference(forward_subsumption_resolution,[],[f1517,f343]) ).

fof(f1520,plain,
    spl34_35,
    inference(avatar_contradiction_clause,[],[f1519]) ).

fof(f1521,plain,
    ( v2_setfam_1(sK0)
    | ~ spl34_6 ),
    inference(resolution,[],[f995,f512]) ).

fof(f1523,plain,
    ( $false
    | ~ spl34_6 ),
    inference(forward_subsumption_resolution,[],[f1521,f343]) ).

fof(f1524,plain,
    ~ spl34_6,
    inference(avatar_contradiction_clause,[],[f1523]) ).

fof(f1602,plain,
    k12_functor0(k4_waybel34(sK0)) = k11_functor0(k4_waybel34(sK0)),
    inference(resolution,[],[f1343,f343]) ).

fof(f1614,definition,
    ( spl34_44
  <=> l2_altcat_1(k4_waybel34(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl34_44])],[avatar_definition]) ).

fof(f1615,plain,
    ( l2_altcat_1(k4_waybel34(sK0))
    | ~ spl34_44 ),
    inference(avatar_component_clause,[],[f1614]) ).

fof(f1616,plain,
    ( ~ l2_altcat_1(k4_waybel34(sK0))
    | spl34_44 ),
    inference(avatar_component_clause,[],[f1614]) ).

fof(f1618,definition,
    ( spl34_45
  <=> v2_altcat_1(k4_waybel34(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl34_45])],[avatar_definition]) ).

fof(f1619,plain,
    ( v2_altcat_1(k4_waybel34(sK0))
    | ~ spl34_45 ),
    inference(avatar_component_clause,[],[f1618]) ).

fof(f1620,plain,
    ( ~ v2_altcat_1(k4_waybel34(sK0))
    | spl34_45 ),
    inference(avatar_component_clause,[],[f1618]) ).

fof(f1622,definition,
    ( spl34_46
  <=> v12_altcat_1(k4_waybel34(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl34_46])],[avatar_definition]) ).

fof(f1623,plain,
    ( v12_altcat_1(k4_waybel34(sK0))
    | ~ spl34_46 ),
    inference(avatar_component_clause,[],[f1622]) ).

fof(f1624,plain,
    ( ~ v12_altcat_1(k4_waybel34(sK0))
    | spl34_46 ),
    inference(avatar_component_clause,[],[f1622]) ).

fof(f1635,plain,
    ( v1_xboole_0(sK0)
    | spl34_44 ),
    inference(resolution,[],[f1616,f419]) ).

fof(f1639,plain,
    ( v2_setfam_1(sK0)
    | spl34_44 ),
    inference(resolution,[],[f1635,f383]) ).

fof(f1640,plain,
    ( $false
    | spl34_44 ),
    inference(forward_subsumption_resolution,[],[f1639,f343]) ).

fof(f1641,plain,
    spl34_44,
    inference(avatar_contradiction_clause,[],[f1640]) ).

fof(f1642,plain,
    ( v2_setfam_1(sK0)
    | spl34_45 ),
    inference(resolution,[],[f1620,f497]) ).

fof(f1644,plain,
    ( $false
    | spl34_45 ),
    inference(forward_subsumption_resolution,[],[f1642,f343]) ).

fof(f1645,plain,
    spl34_45,
    inference(avatar_contradiction_clause,[],[f1644]) ).

fof(f1647,plain,
    ( v2_setfam_1(sK0)
    | spl34_46 ),
    inference(resolution,[],[f1624,f494]) ).

fof(f1649,plain,
    ( $false
    | spl34_46 ),
    inference(forward_subsumption_resolution,[],[f1647,f343]) ).

fof(f1650,plain,
    spl34_46,
    inference(avatar_contradiction_clause,[],[f1649]) ).

fof(f1657,plain,
    ( v2_setfam_1(sK0)
    | ~ spl34_4 ),
    inference(resolution,[],[f987,f498]) ).

fof(f1659,plain,
    ( $false
    | ~ spl34_4 ),
    inference(forward_subsumption_resolution,[],[f1657,f343]) ).

fof(f1660,plain,
    ~ spl34_4,
    inference(avatar_contradiction_clause,[],[f1659]) ).

fof(f2364,plain,
    ( ~ l2_altcat_1(k5_waybel34(sK0))
    | ~ l2_altcat_1(k4_waybel34(sK0))
    | v2_setfam_1(sK0)
    | spl34_3 ),
    inference(resolution,[],[f1052,f983]) ).

fof(f2367,plain,
    ( ~ l2_altcat_1(k4_waybel34(sK0))
    | v2_setfam_1(sK0)
    | spl34_3
    | ~ spl34_33 ),
    inference(forward_subsumption_resolution,[],[f2364,f1479]) ).

fof(f2369,plain,
    ( v2_setfam_1(sK0)
    | spl34_3
    | ~ spl34_33
    | ~ spl34_44 ),
    inference(forward_subsumption_resolution,[],[f2367,f1615]) ).

fof(f2372,plain,
    ( $false
    | spl34_3
    | ~ spl34_33
    | ~ spl34_44 ),
    inference(forward_subsumption_resolution,[],[f2369,f343]) ).

fof(f2373,plain,
    ( spl34_3
    | ~ spl34_33
    | ~ spl34_44 ),
    inference(avatar_contradiction_clause,[],[f2372]) ).

fof(f2374,plain,
    ( v9_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
    | v3_struct_0(k4_waybel34(sK0))
    | ~ l1_altcat_1(k5_waybel34(sK0))
    | v3_struct_0(k5_waybel34(sK0))
    | ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
    | ~ spl34_5 ),
    inference(forward_subsumption_resolution,[],[f1023,f990]) ).

fof(f2375,plain,
    ( v9_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
    | v3_struct_0(k5_waybel34(sK0))
    | ~ l1_altcat_1(k4_waybel34(sK0))
    | v3_struct_0(k4_waybel34(sK0))
    | ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
    | ~ spl34_7 ),
    inference(forward_subsumption_resolution,[],[f1024,f998]) ).

fof(f2376,plain,
    ( v9_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
    | ~ l1_altcat_1(k5_waybel34(sK0))
    | v3_struct_0(k5_waybel34(sK0))
    | ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
    | spl34_4
    | ~ spl34_5 ),
    inference(forward_subsumption_resolution,[],[f2374,f986]) ).

fof(f2377,plain,
    ( v9_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
    | ~ l1_altcat_1(k4_waybel34(sK0))
    | v3_struct_0(k4_waybel34(sK0))
    | ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
    | spl34_6
    | ~ spl34_7 ),
    inference(forward_subsumption_resolution,[],[f2375,f994]) ).

fof(f2378,plain,
    ( v9_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
    | v3_struct_0(k5_waybel34(sK0))
    | ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
    | spl34_4
    | ~ spl34_5
    | ~ spl34_7 ),
    inference(forward_subsumption_resolution,[],[f2376,f998]) ).

fof(f2379,plain,
    ( v9_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
    | v3_struct_0(k4_waybel34(sK0))
    | ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7 ),
    inference(forward_subsumption_resolution,[],[f2377,f990]) ).

fof(f2380,plain,
    ( v9_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
    | ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7 ),
    inference(forward_subsumption_resolution,[],[f2378,f994]) ).

fof(f2381,plain,
    ( v9_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
    | ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7 ),
    inference(forward_subsumption_resolution,[],[f2379,f986]) ).

fof(f2382,plain,
    ( v9_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8 ),
    inference(forward_subsumption_resolution,[],[f2380,f1003]) ).

fof(f2383,plain,
    ( v9_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
    | ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7 ),
    inference(forward_subsumption_resolution,[],[f2381,f982]) ).

fof(f2384,plain,
    ( ~ l1_altcat_1(k5_waybel34(sK0))
    | ~ l1_altcat_1(k4_waybel34(sK0))
    | ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
    | k6_waybel34(sK0) = g2_functor0(k4_waybel34(sK0),k5_waybel34(sK0),u1_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k6_waybel34(sK0)),u2_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k6_waybel34(sK0)))
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8 ),
    inference(resolution,[],[f2382,f345]) ).

fof(f2385,plain,
    ( ~ l1_altcat_1(k4_waybel34(sK0))
    | ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
    | k6_waybel34(sK0) = g2_functor0(k4_waybel34(sK0),k5_waybel34(sK0),u1_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k6_waybel34(sK0)),u2_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k6_waybel34(sK0)))
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8 ),
    inference(forward_subsumption_resolution,[],[f2384,f998]) ).

fof(f2386,plain,
    ( ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
    | k6_waybel34(sK0) = g2_functor0(k4_waybel34(sK0),k5_waybel34(sK0),u1_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k6_waybel34(sK0)),u2_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k6_waybel34(sK0)))
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8 ),
    inference(forward_subsumption_resolution,[],[f2385,f990]) ).

fof(f2387,plain,
    ( k6_waybel34(sK0) = g2_functor0(k4_waybel34(sK0),k5_waybel34(sK0),u1_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k6_waybel34(sK0)),u2_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k6_waybel34(sK0)))
    | ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8 ),
    inference(forward_subsumption_resolution,[],[f2386,f982]) ).

fof(f2388,plain,
    ( ~ l1_altcat_1(k4_waybel34(sK0))
    | ~ l1_altcat_1(k5_waybel34(sK0))
    | ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
    | k7_waybel34(sK0) = g2_functor0(k5_waybel34(sK0),k4_waybel34(sK0),u1_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k7_waybel34(sK0)),u2_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k7_waybel34(sK0)))
    | ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7 ),
    inference(resolution,[],[f2383,f345]) ).

fof(f2389,plain,
    ( ~ l1_altcat_1(k5_waybel34(sK0))
    | ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
    | k7_waybel34(sK0) = g2_functor0(k5_waybel34(sK0),k4_waybel34(sK0),u1_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k7_waybel34(sK0)),u2_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k7_waybel34(sK0)))
    | ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7 ),
    inference(forward_subsumption_resolution,[],[f2388,f990]) ).

fof(f2390,plain,
    ( ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
    | k7_waybel34(sK0) = g2_functor0(k5_waybel34(sK0),k4_waybel34(sK0),u1_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k7_waybel34(sK0)),u2_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k7_waybel34(sK0)))
    | ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7 ),
    inference(forward_subsumption_resolution,[],[f2389,f998]) ).

fof(f2391,plain,
    ( k7_waybel34(sK0) = g2_functor0(k5_waybel34(sK0),k4_waybel34(sK0),u1_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k7_waybel34(sK0)),u2_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k7_waybel34(sK0)))
    | ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8 ),
    inference(forward_subsumption_resolution,[],[f2390,f1003]) ).

fof(f2392,plain,
    ( ! [X0] :
        ( k6_waybel34(sK0) != k15_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0)
        | ~ v1_altcat_2(k5_waybel34(sK0))
        | ~ v12_altcat_1(k5_waybel34(sK0))
        | ~ v2_altcat_1(k5_waybel34(sK0))
        | v3_struct_0(k5_waybel34(sK0))
        | ~ l2_altcat_1(k4_waybel34(sK0))
        | ~ v1_altcat_2(k4_waybel34(sK0))
        | ~ v12_altcat_1(k4_waybel34(sK0))
        | ~ v2_altcat_1(k4_waybel34(sK0))
        | v3_struct_0(k4_waybel34(sK0))
        | ~ l2_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v8_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v21_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ l2_altcat_1(k5_waybel34(sK0))
        | k12_functor0(k4_waybel34(sK0)) = k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),X0) )
    | ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8 ),
    inference(superposition,[],[f611,f2387]) ).

fof(f2393,plain,
    ( ! [X0] :
        ( k6_waybel34(sK0) != k15_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0)
        | ~ v12_altcat_1(k5_waybel34(sK0))
        | ~ v2_altcat_1(k5_waybel34(sK0))
        | v3_struct_0(k5_waybel34(sK0))
        | ~ l2_altcat_1(k4_waybel34(sK0))
        | ~ v1_altcat_2(k4_waybel34(sK0))
        | ~ v12_altcat_1(k4_waybel34(sK0))
        | ~ v2_altcat_1(k4_waybel34(sK0))
        | v3_struct_0(k4_waybel34(sK0))
        | ~ l2_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v8_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v21_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ l2_altcat_1(k5_waybel34(sK0))
        | k12_functor0(k4_waybel34(sK0)) = k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),X0) )
    | ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8 ),
    inference(forward_subsumption_resolution,[],[f2392,f376]) ).

fof(f2394,plain,
    ( ! [X0] :
        ( k6_waybel34(sK0) != k15_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0)
        | ~ v2_altcat_1(k5_waybel34(sK0))
        | v3_struct_0(k5_waybel34(sK0))
        | ~ l2_altcat_1(k4_waybel34(sK0))
        | ~ v1_altcat_2(k4_waybel34(sK0))
        | ~ v12_altcat_1(k4_waybel34(sK0))
        | ~ v2_altcat_1(k4_waybel34(sK0))
        | v3_struct_0(k4_waybel34(sK0))
        | ~ l2_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v8_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v21_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ l2_altcat_1(k5_waybel34(sK0))
        | k12_functor0(k4_waybel34(sK0)) = k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),X0) )
    | ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8
    | ~ spl34_35 ),
    inference(forward_subsumption_resolution,[],[f2393,f1487]) ).

fof(f2395,plain,
    ( ! [X0] :
        ( k6_waybel34(sK0) != k15_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0)
        | v3_struct_0(k5_waybel34(sK0))
        | ~ l2_altcat_1(k4_waybel34(sK0))
        | ~ v1_altcat_2(k4_waybel34(sK0))
        | ~ v12_altcat_1(k4_waybel34(sK0))
        | ~ v2_altcat_1(k4_waybel34(sK0))
        | v3_struct_0(k4_waybel34(sK0))
        | ~ l2_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v8_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v21_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ l2_altcat_1(k5_waybel34(sK0))
        | k12_functor0(k4_waybel34(sK0)) = k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),X0) )
    | ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8
    | ~ spl34_34
    | ~ spl34_35 ),
    inference(forward_subsumption_resolution,[],[f2394,f1483]) ).

fof(f2396,plain,
    ( ! [X0] :
        ( k6_waybel34(sK0) != k15_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0)
        | ~ l2_altcat_1(k4_waybel34(sK0))
        | ~ v1_altcat_2(k4_waybel34(sK0))
        | ~ v12_altcat_1(k4_waybel34(sK0))
        | ~ v2_altcat_1(k4_waybel34(sK0))
        | v3_struct_0(k4_waybel34(sK0))
        | ~ l2_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v8_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v21_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ l2_altcat_1(k5_waybel34(sK0))
        | k12_functor0(k4_waybel34(sK0)) = k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),X0) )
    | ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8
    | ~ spl34_34
    | ~ spl34_35 ),
    inference(forward_subsumption_resolution,[],[f2395,f994]) ).

fof(f2397,plain,
    ( ! [X0] :
        ( k6_waybel34(sK0) != k15_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0)
        | ~ v1_altcat_2(k4_waybel34(sK0))
        | ~ v12_altcat_1(k4_waybel34(sK0))
        | ~ v2_altcat_1(k4_waybel34(sK0))
        | v3_struct_0(k4_waybel34(sK0))
        | ~ l2_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v8_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v21_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ l2_altcat_1(k5_waybel34(sK0))
        | k12_functor0(k4_waybel34(sK0)) = k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),X0) )
    | ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8
    | ~ spl34_34
    | ~ spl34_35
    | ~ spl34_44 ),
    inference(forward_subsumption_resolution,[],[f2396,f1615]) ).

fof(f2398,plain,
    ( ! [X0] :
        ( k6_waybel34(sK0) != k15_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0)
        | ~ v1_altcat_2(k4_waybel34(sK0))
        | ~ v2_altcat_1(k4_waybel34(sK0))
        | v3_struct_0(k4_waybel34(sK0))
        | ~ l2_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v8_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v21_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ l2_altcat_1(k5_waybel34(sK0))
        | k12_functor0(k4_waybel34(sK0)) = k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),X0) )
    | ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8
    | ~ spl34_34
    | ~ spl34_35
    | ~ spl34_44
    | ~ spl34_46 ),
    inference(forward_subsumption_resolution,[],[f2397,f1623]) ).

fof(f2399,plain,
    ( ! [X0] :
        ( k6_waybel34(sK0) != k15_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0)
        | ~ v1_altcat_2(k4_waybel34(sK0))
        | v3_struct_0(k4_waybel34(sK0))
        | ~ l2_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v8_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v21_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ l2_altcat_1(k5_waybel34(sK0))
        | k12_functor0(k4_waybel34(sK0)) = k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),X0) )
    | ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8
    | ~ spl34_34
    | ~ spl34_35
    | ~ spl34_44
    | ~ spl34_45
    | ~ spl34_46 ),
    inference(forward_subsumption_resolution,[],[f2398,f1619]) ).

fof(f2400,plain,
    ( ! [X0] :
        ( k6_waybel34(sK0) != k15_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0)
        | ~ v1_altcat_2(k4_waybel34(sK0))
        | ~ l2_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v8_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v21_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ l2_altcat_1(k5_waybel34(sK0))
        | k12_functor0(k4_waybel34(sK0)) = k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),X0) )
    | ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8
    | ~ spl34_34
    | ~ spl34_35
    | ~ spl34_44
    | ~ spl34_45
    | ~ spl34_46 ),
    inference(forward_subsumption_resolution,[],[f2399,f986]) ).

fof(f2401,plain,
    ( ! [X0] :
        ( k6_waybel34(sK0) != k15_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0)
        | ~ v1_altcat_2(k4_waybel34(sK0))
        | ~ l2_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v8_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v21_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ l2_altcat_1(k5_waybel34(sK0))
        | k12_functor0(k4_waybel34(sK0)) = k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),X0) )
    | ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8
    | ~ spl34_34
    | ~ spl34_35
    | ~ spl34_44
    | ~ spl34_45
    | ~ spl34_46 ),
    inference(forward_subsumption_resolution,[],[f2400,f982]) ).

fof(f2402,plain,
    ( ! [X0] :
        ( k6_waybel34(sK0) != k15_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0)
        | ~ v1_altcat_2(k4_waybel34(sK0))
        | ~ l2_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v8_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v21_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
        | k12_functor0(k4_waybel34(sK0)) = k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),X0) )
    | ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8
    | ~ spl34_33
    | ~ spl34_34
    | ~ spl34_35
    | ~ spl34_44
    | ~ spl34_45
    | ~ spl34_46 ),
    inference(forward_subsumption_resolution,[],[f2401,f1479]) ).

fof(f2403,plain,
    ( ! [X0] :
        ( k11_functor0(k4_waybel34(sK0)) = k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),X0)
        | k6_waybel34(sK0) != k15_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0)
        | ~ v1_altcat_2(k4_waybel34(sK0))
        | ~ l2_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v8_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v21_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0)) )
    | ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8
    | ~ spl34_33
    | ~ spl34_34
    | ~ spl34_35
    | ~ spl34_44
    | ~ spl34_45
    | ~ spl34_46 ),
    inference(forward_demodulation,[],[f2402,f1602]) ).

fof(f2405,definition,
    ( spl34_63
  <=> v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl34_63])],[avatar_definition]) ).

fof(f2406,plain,
    ( v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
    | ~ spl34_63 ),
    inference(avatar_component_clause,[],[f2405]) ).

fof(f2407,plain,
    ( ~ v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
    | spl34_63 ),
    inference(avatar_component_clause,[],[f2405]) ).

fof(f2409,definition,
    ( spl34_64
  <=> v1_altcat_2(k4_waybel34(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl34_64])],[avatar_definition]) ).

fof(f2410,plain,
    ( v1_altcat_2(k4_waybel34(sK0))
    | ~ spl34_64 ),
    inference(avatar_component_clause,[],[f2409]) ).

fof(f2411,plain,
    ( ~ v1_altcat_2(k4_waybel34(sK0))
    | spl34_64 ),
    inference(avatar_component_clause,[],[f2409]) ).

fof(f2413,definition,
    ( spl34_65
  <=> ! [X0] :
        ( k11_functor0(k4_waybel34(sK0)) = k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),X0)
        | ~ v21_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v8_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ l2_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | k6_waybel34(sK0) != k15_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0) ) ),
    introduced(definition,[new_symbols(definition,[spl34_65])],[avatar_definition]) ).

fof(f2414,plain,
    ( ! [X0] :
        ( k6_waybel34(sK0) != k15_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0)
        | ~ v21_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v8_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ l2_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
        | k11_functor0(k4_waybel34(sK0)) = k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),X0) )
    | ~ spl34_65 ),
    inference(avatar_component_clause,[],[f2413]) ).

fof(f2415,plain,
    ( ~ spl34_63
    | ~ spl34_64
    | spl34_65
    | ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8
    | ~ spl34_33
    | ~ spl34_34
    | ~ spl34_35
    | ~ spl34_44
    | ~ spl34_45
    | ~ spl34_46 ),
    inference(avatar_split_clause,[],[f2403,f1622,f1618,f1614,f1486,f1482,f1478,f1001,f997,f993,f989,f985,f981,f2413,f2409,f2405]) ).

fof(f2416,plain,
    ( v2_setfam_1(sK0)
    | spl34_63 ),
    inference(resolution,[],[f2407,f521]) ).

fof(f2419,plain,
    ( $false
    | spl34_63 ),
    inference(forward_subsumption_resolution,[],[f2416,f343]) ).

fof(f2420,plain,
    spl34_63,
    inference(avatar_contradiction_clause,[],[f2419]) ).

fof(f2427,plain,
    ( v2_setfam_1(sK0)
    | spl34_64 ),
    inference(resolution,[],[f2411,f493]) ).

fof(f2430,plain,
    ( $false
    | spl34_64 ),
    inference(forward_subsumption_resolution,[],[f2427,f343]) ).

fof(f2431,plain,
    spl34_64,
    inference(avatar_contradiction_clause,[],[f2430]) ).

fof(f2443,plain,
    ( ! [X0] :
        ( k7_waybel34(sK0) != k15_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0)
        | ~ v1_altcat_2(k4_waybel34(sK0))
        | ~ v12_altcat_1(k4_waybel34(sK0))
        | ~ v2_altcat_1(k4_waybel34(sK0))
        | v3_struct_0(k4_waybel34(sK0))
        | ~ l2_altcat_1(k5_waybel34(sK0))
        | ~ v1_altcat_2(k5_waybel34(sK0))
        | ~ v12_altcat_1(k5_waybel34(sK0))
        | ~ v2_altcat_1(k5_waybel34(sK0))
        | v3_struct_0(k5_waybel34(sK0))
        | ~ l2_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v8_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v21_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ l2_altcat_1(k4_waybel34(sK0))
        | k12_functor0(k5_waybel34(sK0)) = k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),X0) )
    | ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8 ),
    inference(superposition,[],[f611,f2391]) ).

fof(f2444,plain,
    ( ! [X0] :
        ( k7_waybel34(sK0) != k15_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0)
        | ~ v12_altcat_1(k4_waybel34(sK0))
        | ~ v2_altcat_1(k4_waybel34(sK0))
        | v3_struct_0(k4_waybel34(sK0))
        | ~ l2_altcat_1(k5_waybel34(sK0))
        | ~ v1_altcat_2(k5_waybel34(sK0))
        | ~ v12_altcat_1(k5_waybel34(sK0))
        | ~ v2_altcat_1(k5_waybel34(sK0))
        | v3_struct_0(k5_waybel34(sK0))
        | ~ l2_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v8_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v21_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ l2_altcat_1(k4_waybel34(sK0))
        | k12_functor0(k5_waybel34(sK0)) = k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),X0) )
    | ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8
    | ~ spl34_64 ),
    inference(forward_subsumption_resolution,[],[f2443,f2410]) ).

fof(f2445,plain,
    ( ! [X0] :
        ( k7_waybel34(sK0) != k15_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0)
        | ~ v2_altcat_1(k4_waybel34(sK0))
        | v3_struct_0(k4_waybel34(sK0))
        | ~ l2_altcat_1(k5_waybel34(sK0))
        | ~ v1_altcat_2(k5_waybel34(sK0))
        | ~ v12_altcat_1(k5_waybel34(sK0))
        | ~ v2_altcat_1(k5_waybel34(sK0))
        | v3_struct_0(k5_waybel34(sK0))
        | ~ l2_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v8_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v21_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ l2_altcat_1(k4_waybel34(sK0))
        | k12_functor0(k5_waybel34(sK0)) = k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),X0) )
    | ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8
    | ~ spl34_46
    | ~ spl34_64 ),
    inference(forward_subsumption_resolution,[],[f2444,f1623]) ).

fof(f2446,plain,
    ( ! [X0] :
        ( k7_waybel34(sK0) != k15_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0)
        | v3_struct_0(k4_waybel34(sK0))
        | ~ l2_altcat_1(k5_waybel34(sK0))
        | ~ v1_altcat_2(k5_waybel34(sK0))
        | ~ v12_altcat_1(k5_waybel34(sK0))
        | ~ v2_altcat_1(k5_waybel34(sK0))
        | v3_struct_0(k5_waybel34(sK0))
        | ~ l2_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v8_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v21_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ l2_altcat_1(k4_waybel34(sK0))
        | k12_functor0(k5_waybel34(sK0)) = k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),X0) )
    | ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8
    | ~ spl34_45
    | ~ spl34_46
    | ~ spl34_64 ),
    inference(forward_subsumption_resolution,[],[f2445,f1619]) ).

fof(f2447,plain,
    ( ! [X0] :
        ( k7_waybel34(sK0) != k15_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0)
        | ~ l2_altcat_1(k5_waybel34(sK0))
        | ~ v1_altcat_2(k5_waybel34(sK0))
        | ~ v12_altcat_1(k5_waybel34(sK0))
        | ~ v2_altcat_1(k5_waybel34(sK0))
        | v3_struct_0(k5_waybel34(sK0))
        | ~ l2_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v8_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v21_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ l2_altcat_1(k4_waybel34(sK0))
        | k12_functor0(k5_waybel34(sK0)) = k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),X0) )
    | ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8
    | ~ spl34_45
    | ~ spl34_46
    | ~ spl34_64 ),
    inference(forward_subsumption_resolution,[],[f2446,f986]) ).

fof(f2448,plain,
    ( ! [X0] :
        ( k7_waybel34(sK0) != k15_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0)
        | ~ v1_altcat_2(k5_waybel34(sK0))
        | ~ v12_altcat_1(k5_waybel34(sK0))
        | ~ v2_altcat_1(k5_waybel34(sK0))
        | v3_struct_0(k5_waybel34(sK0))
        | ~ l2_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v8_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v21_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ l2_altcat_1(k4_waybel34(sK0))
        | k12_functor0(k5_waybel34(sK0)) = k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),X0) )
    | ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8
    | ~ spl34_33
    | ~ spl34_45
    | ~ spl34_46
    | ~ spl34_64 ),
    inference(forward_subsumption_resolution,[],[f2447,f1479]) ).

fof(f2449,plain,
    ( ! [X0] :
        ( k7_waybel34(sK0) != k15_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0)
        | ~ v1_altcat_2(k5_waybel34(sK0))
        | ~ v2_altcat_1(k5_waybel34(sK0))
        | v3_struct_0(k5_waybel34(sK0))
        | ~ l2_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v8_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v21_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ l2_altcat_1(k4_waybel34(sK0))
        | k12_functor0(k5_waybel34(sK0)) = k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),X0) )
    | ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8
    | ~ spl34_33
    | ~ spl34_35
    | ~ spl34_45
    | ~ spl34_46
    | ~ spl34_64 ),
    inference(forward_subsumption_resolution,[],[f2448,f1487]) ).

fof(f2450,plain,
    ( ! [X0] :
        ( k7_waybel34(sK0) != k15_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0)
        | ~ v1_altcat_2(k5_waybel34(sK0))
        | v3_struct_0(k5_waybel34(sK0))
        | ~ l2_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v8_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v21_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ l2_altcat_1(k4_waybel34(sK0))
        | k12_functor0(k5_waybel34(sK0)) = k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),X0) )
    | ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8
    | ~ spl34_33
    | ~ spl34_34
    | ~ spl34_35
    | ~ spl34_45
    | ~ spl34_46
    | ~ spl34_64 ),
    inference(forward_subsumption_resolution,[],[f2449,f1483]) ).

fof(f2451,plain,
    ( ! [X0] :
        ( k7_waybel34(sK0) != k15_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0)
        | ~ v1_altcat_2(k5_waybel34(sK0))
        | ~ l2_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v8_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v21_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ l2_altcat_1(k4_waybel34(sK0))
        | k12_functor0(k5_waybel34(sK0)) = k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),X0) )
    | ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8
    | ~ spl34_33
    | ~ spl34_34
    | ~ spl34_35
    | ~ spl34_45
    | ~ spl34_46
    | ~ spl34_64 ),
    inference(forward_subsumption_resolution,[],[f2450,f994]) ).

fof(f2452,plain,
    ( ! [X0] :
        ( k7_waybel34(sK0) != k15_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0)
        | ~ v1_altcat_2(k5_waybel34(sK0))
        | ~ l2_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v8_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v21_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
        | ~ l2_altcat_1(k4_waybel34(sK0))
        | k12_functor0(k5_waybel34(sK0)) = k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),X0) )
    | ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8
    | ~ spl34_33
    | ~ spl34_34
    | ~ spl34_35
    | ~ spl34_45
    | ~ spl34_46
    | ~ spl34_64 ),
    inference(forward_subsumption_resolution,[],[f2451,f1003]) ).

fof(f2453,plain,
    ( ! [X0] :
        ( k7_waybel34(sK0) != k15_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0)
        | ~ v1_altcat_2(k5_waybel34(sK0))
        | ~ l2_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v8_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v21_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
        | k12_functor0(k5_waybel34(sK0)) = k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),X0) )
    | ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8
    | ~ spl34_33
    | ~ spl34_34
    | ~ spl34_35
    | ~ spl34_44
    | ~ spl34_45
    | ~ spl34_46
    | ~ spl34_64 ),
    inference(forward_subsumption_resolution,[],[f2452,f1615]) ).

fof(f2454,plain,
    ( ! [X0] :
        ( k11_functor0(k5_waybel34(sK0)) = k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),X0)
        | k7_waybel34(sK0) != k15_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0)
        | ~ v1_altcat_2(k5_waybel34(sK0))
        | ~ l2_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v8_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v21_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0)) )
    | ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8
    | ~ spl34_33
    | ~ spl34_34
    | ~ spl34_35
    | ~ spl34_44
    | ~ spl34_45
    | ~ spl34_46
    | ~ spl34_64 ),
    inference(forward_demodulation,[],[f2453,f1466]) ).

fof(f2456,definition,
    ( spl34_66
  <=> v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl34_66])],[avatar_definition]) ).

fof(f2457,plain,
    ( v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
    | ~ spl34_66 ),
    inference(avatar_component_clause,[],[f2456]) ).

fof(f2458,plain,
    ( ~ v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
    | spl34_66 ),
    inference(avatar_component_clause,[],[f2456]) ).

fof(f2460,definition,
    ( spl34_67
  <=> v1_altcat_2(k5_waybel34(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl34_67])],[avatar_definition]) ).

fof(f2462,plain,
    ( ~ v1_altcat_2(k5_waybel34(sK0))
    | spl34_67 ),
    inference(avatar_component_clause,[],[f2460]) ).

fof(f2464,definition,
    ( spl34_68
  <=> ! [X0] :
        ( k11_functor0(k5_waybel34(sK0)) = k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),X0)
        | ~ v21_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v8_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ l2_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | k7_waybel34(sK0) != k15_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0) ) ),
    introduced(definition,[new_symbols(definition,[spl34_68])],[avatar_definition]) ).

fof(f2465,plain,
    ( ! [X0] :
        ( k7_waybel34(sK0) != k15_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0)
        | ~ v21_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ v8_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | ~ l2_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
        | k11_functor0(k5_waybel34(sK0)) = k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),X0) )
    | ~ spl34_68 ),
    inference(avatar_component_clause,[],[f2464]) ).

fof(f2466,plain,
    ( ~ spl34_66
    | ~ spl34_67
    | spl34_68
    | ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8
    | ~ spl34_33
    | ~ spl34_34
    | ~ spl34_35
    | ~ spl34_44
    | ~ spl34_45
    | ~ spl34_46
    | ~ spl34_64 ),
    inference(avatar_split_clause,[],[f2454,f2409,f1622,f1618,f1614,f1486,f1482,f1478,f1001,f997,f993,f989,f985,f981,f2464,f2460,f2456]) ).

fof(f2467,plain,
    ( v2_setfam_1(sK0)
    | spl34_66 ),
    inference(resolution,[],[f2458,f529]) ).

fof(f2470,plain,
    ( $false
    | spl34_66 ),
    inference(forward_subsumption_resolution,[],[f2467,f343]) ).

fof(f2471,plain,
    spl34_66,
    inference(avatar_contradiction_clause,[],[f2470]) ).

fof(f2502,plain,
    ( v2_setfam_1(sK0)
    | spl34_67 ),
    inference(resolution,[],[f2462,f507]) ).

fof(f2505,plain,
    ( $false
    | spl34_67 ),
    inference(forward_subsumption_resolution,[],[f2502,f343]) ).

fof(f2506,plain,
    spl34_67,
    inference(avatar_contradiction_clause,[],[f2505]) ).

fof(f2534,plain,
    ( k6_waybel34(sK0) != k6_waybel34(sK0)
    | ~ v21_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
    | ~ v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
    | ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
    | k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),k7_waybel34(sK0)) = k11_functor0(k4_waybel34(sK0))
    | ~ spl34_65 ),
    inference(superposition,[],[f2414,f864]) ).

fof(f2535,plain,
    ( ~ v21_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
    | ~ v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
    | ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
    | k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),k7_waybel34(sK0)) = k11_functor0(k4_waybel34(sK0))
    | ~ spl34_65 ),
    inference(trivial_inequality_removal,[],[f2534]) ).

fof(f2536,plain,
    ( ~ v21_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
    | ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
    | k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),k7_waybel34(sK0)) = k11_functor0(k4_waybel34(sK0))
    | ~ spl34_65
    | ~ spl34_66 ),
    inference(forward_subsumption_resolution,[],[f2535,f2457]) ).

fof(f2537,plain,
    ( ~ v21_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
    | k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),k7_waybel34(sK0)) = k11_functor0(k4_waybel34(sK0))
    | ~ spl34_8
    | ~ spl34_65
    | ~ spl34_66 ),
    inference(forward_subsumption_resolution,[],[f2536,f1003]) ).

fof(f2539,definition,
    ( spl34_75
  <=> k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),k7_waybel34(sK0)) = k11_functor0(k4_waybel34(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl34_75])],[avatar_definition]) ).

fof(f2541,plain,
    ( k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),k7_waybel34(sK0)) = k11_functor0(k4_waybel34(sK0))
    | ~ spl34_75 ),
    inference(avatar_component_clause,[],[f2539]) ).

fof(f2543,definition,
    ( spl34_76
  <=> v21_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl34_76])],[avatar_definition]) ).

fof(f2545,plain,
    ( ~ v21_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
    | spl34_76 ),
    inference(avatar_component_clause,[],[f2543]) ).

fof(f2546,plain,
    ( spl34_75
    | ~ spl34_76
    | ~ spl34_8
    | ~ spl34_65
    | ~ spl34_66 ),
    inference(avatar_split_clause,[],[f2537,f2456,f2413,f1001,f2543,f2539]) ).

fof(f2547,plain,
    ( k7_waybel34(sK0) != k7_waybel34(sK0)
    | ~ v21_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
    | ~ v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
    | ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
    | k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),k6_waybel34(sK0)) = k11_functor0(k5_waybel34(sK0))
    | ~ spl34_68 ),
    inference(superposition,[],[f2465,f866]) ).

fof(f2548,plain,
    ( ~ v21_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
    | ~ v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
    | ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
    | k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),k6_waybel34(sK0)) = k11_functor0(k5_waybel34(sK0))
    | ~ spl34_68 ),
    inference(trivial_inequality_removal,[],[f2547]) ).

fof(f2549,plain,
    ( ~ v21_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
    | ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
    | k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),k6_waybel34(sK0)) = k11_functor0(k5_waybel34(sK0))
    | ~ spl34_63
    | ~ spl34_68 ),
    inference(forward_subsumption_resolution,[],[f2548,f2406]) ).

fof(f2550,plain,
    ( ~ v21_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
    | k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),k6_waybel34(sK0)) = k11_functor0(k5_waybel34(sK0))
    | ~ spl34_3
    | ~ spl34_63
    | ~ spl34_68 ),
    inference(forward_subsumption_resolution,[],[f2549,f982]) ).

fof(f2552,definition,
    ( spl34_77
  <=> k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),k6_waybel34(sK0)) = k11_functor0(k5_waybel34(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl34_77])],[avatar_definition]) ).

fof(f2554,plain,
    ( k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),k6_waybel34(sK0)) = k11_functor0(k5_waybel34(sK0))
    | ~ spl34_77 ),
    inference(avatar_component_clause,[],[f2552]) ).

fof(f2556,definition,
    ( spl34_78
  <=> v21_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl34_78])],[avatar_definition]) ).

fof(f2558,plain,
    ( ~ v21_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
    | spl34_78 ),
    inference(avatar_component_clause,[],[f2556]) ).

fof(f2559,plain,
    ( spl34_77
    | ~ spl34_78
    | ~ spl34_3
    | ~ spl34_63
    | ~ spl34_68 ),
    inference(avatar_split_clause,[],[f2550,f2464,f2405,f981,f2556,f2552]) ).

fof(f2560,plain,
    ( v2_setfam_1(sK0)
    | spl34_76 ),
    inference(resolution,[],[f2545,f523]) ).

fof(f2561,plain,
    ( $false
    | spl34_76 ),
    inference(forward_subsumption_resolution,[],[f2560,f343]) ).

fof(f2562,plain,
    spl34_76,
    inference(avatar_contradiction_clause,[],[f2561]) ).

fof(f2582,plain,
    ( v2_setfam_1(sK0)
    | spl34_78 ),
    inference(resolution,[],[f2558,f515]) ).

fof(f2583,plain,
    ( $false
    | spl34_78 ),
    inference(forward_subsumption_resolution,[],[f2582,f343]) ).

fof(f2584,plain,
    spl34_78,
    inference(avatar_contradiction_clause,[],[f2583]) ).

fof(f2781,plain,
    ( k12_functor0(k5_waybel34(sK0)) != k11_functor0(k5_waybel34(sK0))
    | spl34_1
    | ~ spl34_77 ),
    inference(superposition,[],[f622,f2554]) ).

fof(f2812,plain,
    ( $false
    | spl34_1
    | ~ spl34_77 ),
    inference(forward_subsumption_resolution,[],[f2781,f1466]) ).

fof(f2813,plain,
    ( spl34_1
    | ~ spl34_77 ),
    inference(avatar_contradiction_clause,[],[f2812]) ).

fof(f2849,plain,
    ( k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),k7_waybel34(sK0)) != k11_functor0(k4_waybel34(sK0))
    | spl34_2 ),
    inference(forward_demodulation,[],[f626,f1602]) ).

fof(f2850,plain,
    ( $false
    | spl34_2
    | ~ spl34_75 ),
    inference(forward_subsumption_resolution,[],[f2849,f2541]) ).

fof(f2851,plain,
    ( spl34_2
    | ~ spl34_75 ),
    inference(avatar_contradiction_clause,[],[f2850]) ).

cnf(s1,plain,
    ( ~ spl34_1
    | ~ spl34_2 ),
    inference(sat_conversion,[],[f627]) ).

cnf(s2,plain,
    ( ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | spl34_8 ),
    inference(sat_conversion,[],[f1004]) ).

cnf(s4,plain,
    spl34_5,
    inference(sat_conversion,[],[f1013]) ).

cnf(s5,plain,
    spl34_7,
    inference(sat_conversion,[],[f1021]) ).

cnf(s32,plain,
    spl34_33,
    inference(sat_conversion,[],[f1505]) ).

cnf(s33,plain,
    spl34_34,
    inference(sat_conversion,[],[f1515]) ).

cnf(s34,plain,
    spl34_35,
    inference(sat_conversion,[],[f1520]) ).

cnf(s35,plain,
    ~ spl34_6,
    inference(sat_conversion,[],[f1524]) ).

cnf(s44,plain,
    spl34_44,
    inference(sat_conversion,[],[f1641]) ).

cnf(s45,plain,
    spl34_45,
    inference(sat_conversion,[],[f1645]) ).

cnf(s46,plain,
    spl34_46,
    inference(sat_conversion,[],[f1650]) ).

cnf(s47,plain,
    ~ spl34_4,
    inference(sat_conversion,[],[f1660]) ).

cnf(s62,plain,
    ( spl34_3
    | ~ spl34_33
    | ~ spl34_44 ),
    inference(sat_conversion,[],[f2373]) ).

cnf(s63,plain,
    ( ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8
    | ~ spl34_33
    | ~ spl34_34
    | ~ spl34_35
    | ~ spl34_44
    | ~ spl34_45
    | ~ spl34_46
    | ~ spl34_63
    | ~ spl34_64
    | spl34_65 ),
    inference(sat_conversion,[],[f2415]) ).

cnf(s64,plain,
    spl34_63,
    inference(sat_conversion,[],[f2420]) ).

cnf(s65,plain,
    spl34_64,
    inference(sat_conversion,[],[f2431]) ).

cnf(s67,plain,
    ( ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8
    | ~ spl34_33
    | ~ spl34_34
    | ~ spl34_35
    | ~ spl34_44
    | ~ spl34_45
    | ~ spl34_46
    | ~ spl34_64
    | ~ spl34_66
    | ~ spl34_67
    | spl34_68 ),
    inference(sat_conversion,[],[f2466]) ).

cnf(s68,plain,
    spl34_66,
    inference(sat_conversion,[],[f2471]) ).

cnf(s70,plain,
    spl34_67,
    inference(sat_conversion,[],[f2506]) ).

cnf(s73,plain,
    ( ~ spl34_8
    | ~ spl34_65
    | ~ spl34_66
    | spl34_75
    | ~ spl34_76 ),
    inference(sat_conversion,[],[f2546]) ).

cnf(s74,plain,
    ( ~ spl34_3
    | ~ spl34_63
    | ~ spl34_68
    | spl34_77
    | ~ spl34_78 ),
    inference(sat_conversion,[],[f2559]) ).

cnf(s75,plain,
    spl34_76,
    inference(sat_conversion,[],[f2562]) ).

cnf(s79,plain,
    spl34_78,
    inference(sat_conversion,[],[f2584]) ).

cnf(s94,plain,
    ( spl34_1
    | ~ spl34_77 ),
    inference(sat_conversion,[],[f2813]) ).

cnf(s97,plain,
    ( spl34_2
    | ~ spl34_75 ),
    inference(sat_conversion,[],[f2851]) ).

cnf(s100,plain,
    ( ~ spl34_3
    | ~ spl34_63
    | ~ spl34_68
    | spl34_77 ),
    inference(rat,[],[s74,s79]) ).

cnf(s101,plain,
    ( ~ spl34_8
    | ~ spl34_65
    | ~ spl34_66
    | spl34_75 ),
    inference(rat,[],[s73,s75]) ).

cnf(s104,plain,
    ( ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8
    | ~ spl34_33
    | ~ spl34_34
    | ~ spl34_35
    | ~ spl34_44
    | ~ spl34_45
    | ~ spl34_46
    | ~ spl34_64
    | spl34_68 ),
    inference(rat,[],[s67,s70,s68]) ).

cnf(s105,plain,
    ( ~ spl34_3
    | spl34_4
    | ~ spl34_5
    | spl34_6
    | ~ spl34_7
    | ~ spl34_8
    | ~ spl34_33
    | ~ spl34_34
    | ~ spl34_35
    | ~ spl34_44
    | ~ spl34_45
    | ~ spl34_46
    | spl34_65 ),
    inference(rat,[],[s63,s65,s64]) ).

cnf(s120,plain,
    spl34_3,
    inference(rat,[],[s62,s44,s32]) ).

cnf(s131,plain,
    spl34_8,
    inference(rat,[],[s2,s5,s35,s4,s47,s120]) ).

cnf(s132,plain,
    spl34_68,
    inference(rat,[],[s104,s4,s65,s46,s45,s44,s34,s33,s32,s5,s120,s35,s47,s131]) ).

cnf(s133,plain,
    spl34_65,
    inference(rat,[],[s105,s4,s46,s45,s44,s34,s33,s32,s5,s120,s35,s47,s131]) ).

cnf(s134,plain,
    spl34_77,
    inference(rat,[],[s100,s120,s64,s132]) ).

cnf(s135,plain,
    spl34_75,
    inference(rat,[],[s101,s131,s68,s133]) ).

cnf(s136,plain,
    spl34_1,
    inference(rat,[],[s94,s134]) ).

cnf(s137,plain,
    spl34_2,
    inference(rat,[],[s97,s135]) ).

cnf(s140,plain,
    $false,
    inference(rat,[],[s1,s137,s136]) ).

fof(f2852,plain,
    $false,
    inference(avatar_sat_refutation,[],[s140]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LAT361+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36  % Computer : n002.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Sun Sep 27 15:03:52 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40  Running first-order model finding
% 0.10/0.40  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.47/2.70  % (3607032)Will run a generic schedule for satisfiability detection.
% 15.47/2.70  % (3607037)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=788088363_2999 on theBenchmark for (2999ds/0Mi)
% 15.47/2.70  % (3607038)% WARNING: option uhcvi not known.
% 15.47/2.70  % (3607038)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1309580417:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.47/2.70  % (3607039)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=993409417:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.47/2.70  % (3607040)dis+10_1_sil=32000:sp=arity:random_seed=266492122:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.47/2.70  % (3607041)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1833586992:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.47/2.70  % (3607043)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2698072435:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.47/2.70  % (3607042)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1994387533:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.47/2.70  % TRYING [1]
% 15.47/2.70  % TRYING [2]
% 15.47/2.70  % TRYING [3]
% 15.47/2.70  % (3607040)Instruction limit reached! 
% 15.47/2.70  % (3607040)------------------------------
% 15.47/2.70  % (3607040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.47/2.70  % (3607040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.47/2.70  % (3607040)CaDiCaL version: 2.1.3
% 15.47/2.70  % (3607040)Termination reason: Instruction limit
% 15.47/2.70  % (3607040)Termination phase: Saturation
% 15.47/2.70  % (3607040)Time elapsed: 0.065 s
% 15.47/2.70  % (3607040)Peak memory usage: 13 MB
% 15.47/2.70  % (3607040)Instructions burned: 103 (million)
% 15.47/2.70  % (3607041)Instruction limit reached! 
% 15.47/2.70  % (3607041)------------------------------
% 15.47/2.70  % (3607041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.47/2.70  % (3607041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.47/2.70  % (3607041)CaDiCaL version: 2.1.3
% 15.47/2.70  % (3607041)Termination reason: Instruction limit
% 15.47/2.70  % (3607041)Termination phase: Saturation
% 15.47/2.70  % (3607041)Time elapsed: 0.071 s
% 15.47/2.70  % (3607041)Peak memory usage: 13 MB
% 15.47/2.70  % (3607041)Instructions burned: 116 (million)
% 15.47/2.70  % (3607042)Instruction limit reached! 
% 15.47/2.70  % (3607042)------------------------------
% 15.47/2.70  % (3607042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.47/2.70  % (3607042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.47/2.70  % (3607042)CaDiCaL version: 2.1.3
% 15.47/2.70  % (3607042)Termination reason: Instruction limit
% 15.47/2.70  % (3607042)Termination phase: Saturation
% 15.47/2.70  % (3607042)Time elapsed: 0.076 s
% 15.47/2.70  % (3607042)Peak memory usage: 14 MB
% 15.47/2.70  % (3607042)Instructions burned: 133 (million)
% 15.47/2.70  % (3607051)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=21906134:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 15.47/2.70  % (3607052)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4119626572:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.47/2.70  % TRYING [4]
% 15.47/2.70  % (3607043)Instruction limit reached! 
% 15.47/2.70  % (3607043)------------------------------
% 15.47/2.70  % (3607043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.47/2.70  % (3607043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.47/2.70  % (3607043)CaDiCaL version: 2.1.3
% 15.47/2.70  % (3607043)Termination reason: Instruction limit
% 15.47/2.70  % (3607043)Termination phase: Saturation
% 15.47/2.70  % (3607043)Time elapsed: 0.094 s
% 15.47/2.70  % (3607043)Peak memory usage: 15 MB
% 15.47/2.70  % (3607043)Instructions burned: 160 (million)
% 15.47/2.70  % (3607053)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=4080632616:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.47/2.70  % TRYING [1]
% 15.47/2.70  % TRYING [2]
% 15.47/2.70  % TRYING [3]
% 15.47/2.70  % (3607056)ott-21_1_sil=16000:fs=off:random_seed=2036030427:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.47/2.70  % (3607052)Instruction limit reached! 
% 15.47/2.70  % (3607052)------------------------------
% 15.47/2.70  % (3607052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.47/2.70  % (3607052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.40/3.66  % (3607052)CaDiCaL version: 2.1.3
% 6.40/3.66  % (3607052)Termination reason: Instruction limit
% 6.40/3.66  % (3607052)Termination phase: Saturation
% 6.40/3.66  % (3607052)Time elapsed: 0.079 s
% 6.40/3.66  % (3607052)Peak memory usage: 13 MB
% 6.40/3.66  % (3607052)Instructions burned: 132 (million)
% 6.40/3.66  % (3607059)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3596889097:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 6.40/3.66  % (3607056)Instruction limit reached! 
% 6.40/3.66  % (3607056)------------------------------
% 6.40/3.66  % (3607056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.40/3.66  % (3607056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.40/3.66  % (3607056)CaDiCaL version: 2.1.3
% 6.40/3.66  % (3607056)Termination reason: Instruction limit
% 6.40/3.66  % (3607056)Termination phase: Saturation
% 6.40/3.66  % (3607056)Time elapsed: 0.093 s
% 6.40/3.66  % (3607056)Peak memory usage: 13 MB
% 6.40/3.66  % (3607056)Instructions burned: 182 (million)
% 6.40/3.66  % (3607061)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2802963281:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.40/3.66  % TRYING [1]
% 6.40/3.66  % TRYING [2]
% 6.40/3.66  % TRYING [3]
% 6.40/3.66  % (3607051)Instruction limit reached! 
% 6.40/3.66  % (3607051)------------------------------
% 6.40/3.66  % (3607051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.40/3.66  % (3607051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.40/3.66  % (3607051)CaDiCaL version: 2.1.3
% 6.40/3.66  % (3607051)Termination reason: Instruction limit
% 6.40/3.66  % (3607051)Termination phase: Finite model building SAT solving
% 6.40/3.66  % (3607051)Time elapsed: 0.293 s
% 6.40/3.66  % (3607051)Peak memory usage: 34 MB
% 6.40/3.66  % (3607051)Instructions burned: 714 (million)
% 6.40/3.66  % (3607063)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=329477618:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 6.40/3.66  % (3607059)Instruction limit reached! 
% 6.40/3.66  % (3607059)------------------------------
% 6.40/3.66  % (3607059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.40/3.66  % (3607059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.40/3.66  % (3607059)CaDiCaL version: 2.1.3
% 6.40/3.66  % (3607059)Termination reason: Instruction limit
% 6.40/3.66  % (3607059)Termination phase: Saturation
% 6.40/3.66  % (3607059)Time elapsed: 0.305 s
% 6.40/3.66  % (3607059)Peak memory usage: 15 MB
% 6.40/3.66  % (3607059)Instructions burned: 478 (million)
% 6.40/3.66  % (3607053)Instruction limit reached! 
% 6.40/3.66  % (3607053)------------------------------
% 6.40/3.66  % (3607053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.40/3.66  % (3607053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.40/3.66  % (3607053)CaDiCaL version: 2.1.3
% 6.40/3.66  % (3607053)Termination reason: Instruction limit
% 6.40/3.66  % (3607053)Termination phase: Saturation
% 6.40/3.66  % (3607053)Time elapsed: 0.411 s
% 6.40/3.66  % (3607053)Peak memory usage: 20 MB
% 6.40/3.66  % (3607053)Instructions burned: 684 (million)
% 6.40/3.66  % (3607065)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1124972456:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 6.40/3.66  % (3607066)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3695610224:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 6.40/3.66  % (3607061)Instruction limit reached! 
% 6.40/3.66  % (3607061)------------------------------
% 6.40/3.66  % (3607061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.40/3.66  % (3607061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.40/3.66  % (3607061)CaDiCaL version: 2.1.3
% 6.40/3.66  % (3607061)Termination reason: Instruction limit
% 6.40/3.66  % (3607061)Termination phase: Finite model building SAT solving
% 6.40/3.66  % (3607061)Time elapsed: 0.328 s
% 6.40/3.66  % (3607061)Peak memory usage: 28 MB
% 6.40/3.66  % (3607061)Instructions burned: 868 (million)
% 6.40/3.66  % (3607069)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=502032470:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 6.40/3.66  % TRYING [5]
% 6.40/3.66  % (3607066)Instruction limit reached! 
% 6.40/3.66  % (3607066)------------------------------
% 6.40/3.66  % (3607066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.40/3.66  % (3607066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.40/3.66  % (3607066)CaDiCaL version: 2.1.3
% 6.40/3.66  % (3607066)Termination reason: Instruction limit
% 6.40/3.66  % (3607066)Termination phase: Saturation
% 6.40/3.66  % (3607066)Time elapsed: 0.374 s
% 6.40/3.66  % (3607066)Peak memory usage: 24 MB
% 6.40/3.66  % (3607066)Instructions burned: 692 (million)
% 6.40/3.66  % (3607071)fmb+10_1_sil=64000:random_seed=1316564731:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 6.40/3.66  % (3607065)Instruction limit reached! 
% 6.40/3.66  % (3607065)------------------------------
% 6.40/3.66  % (3607065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.40/3.66  % (3607065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.40/3.66  % (3607065)CaDiCaL version: 2.1.3
% 6.40/3.66  % (3607065)Termination reason: Instruction limit
% 6.40/3.66  % (3607065)Termination phase: Finite model building constraint generation
% 6.40/3.66  % (3607065)Time elapsed: 0.408 s
% 6.40/3.66  % (3607065)Peak memory usage: 108 MB
% 6.40/3.66  % (3607065)Instructions burned: 889 (million)
% 6.40/3.66  % TRYING [1]
% 6.40/3.66  % TRYING [2]
% 6.40/3.66  % (3607073)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=186373006:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 6.40/3.66  % TRYING [20]
% 6.40/3.66  % TRYING [3]
% 6.40/3.66  % (3607063)Instruction limit reached! 
% 6.40/3.66  % (3607063)------------------------------
% 6.40/3.66  % (3607063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.40/3.66  % (3607063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.40/3.66  % (3607063)CaDiCaL version: 2.1.3
% 6.40/3.66  % (3607063)Termination reason: Instruction limit
% 6.40/3.66  % (3607063)Termination phase: Saturation
% 6.40/3.66  % (3607063)Time elapsed: 0.654 s
% 6.40/3.66  % (3607063)Peak memory usage: 29 MB
% 6.40/3.66  % (3607063)Instructions burned: 1180 (million)
% 6.40/3.66  % (3607069)Instruction limit reached! 
% 6.40/3.66  % (3607069)------------------------------
% 6.40/3.66  % (3607069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.40/3.66  % (3607069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.40/3.66  % (3607069)CaDiCaL version: 2.1.3
% 6.40/3.66  % (3607069)Termination reason: Instruction limit
% 6.40/3.66  % (3607069)Termination phase: Saturation
% 6.40/3.66  % (3607069)Time elapsed: 0.485 s
% 6.40/3.66  % (3607069)Peak memory usage: 22 MB
% 6.40/3.66  % (3607069)Instructions burned: 880 (million)
% 6.40/3.66  % (3607075)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2949751765:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 6.40/3.66  % (3607076)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=876629661:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 6.40/3.66  % TRYING [8]
% 6.40/3.66  % (3607075)Instruction limit reached! 
% 6.40/3.66  % (3607075)------------------------------
% 6.40/3.66  % (3607075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.40/3.66  % (3607075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.40/3.66  % (3607075)CaDiCaL version: 2.1.3
% 6.40/3.66  % (3607075)Termination reason: Instruction limit
% 6.40/3.66  % (3607075)Termination phase: Finite model building constraint generation
% 6.40/3.66  % (3607075)Time elapsed: 0.311 s
% 6.40/3.66  % (3607075)Peak memory usage: 43 MB
% 6.40/3.66  % (3607075)Instructions burned: 922 (million)
% 6.40/3.66  % (3607079)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1404661144:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 6.40/3.66  % (3607079)Instruction limit reached! 
% 6.40/3.66  % (3607079)------------------------------
% 6.40/3.66  % (3607079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.40/3.66  % (3607079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.40/3.66  % (3607079)CaDiCaL version: 2.1.3
% 6.40/3.66  % (3607079)Termination reason: Instruction limit
% 6.40/3.66  % (3607079)Termination phase: Saturation
% 6.40/3.66  % (3607079)Time elapsed: 0.784 s
% 6.40/3.66  % (3607079)Peak memory usage: 27 MB
% 6.40/3.66  % (3607079)Instructions burned: 1474 (million)
% 6.40/3.66  % (3607081)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4077437417:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 6.40/3.66  % (3607081)Cannot represent all propositional literals internally
% 6.40/3.66  % (3607081)Refutation not found, incomplete strategy
% 6.40/3.66  % (3607081)------------------------------
% 6.40/3.66  % (3607081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.40/3.66  % (3607081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.40/3.66  % (3607081)CaDiCaL version: 2.1.3
% 6.40/3.66  % (3607081)Termination reason: Refutation not found, incomplete strategy
% 6.40/3.66  % (3607081)Time elapsed: 0.027 s
% 6.40/3.66  % (3607081)Peak memory usage: 11 MB
% 6.40/3.66  % (3607081)Instructions burned: 56 (million)
% 6.40/3.66  % (3607081)------------------------------
% 6.40/3.66  % (3607081)------------------------------
% 6.40/3.66  % (3607083)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=62888205:fmbsr=2.30978:i=2174_2977 on theBenchmark for (2977ds/2174Mi)
% 6.40/3.66  % TRYING [16]
% 6.40/3.66  % (3607083)Instruction limit reached! 
% 6.40/3.66  % (3607083)------------------------------
% 6.40/3.66  % (3607083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.40/3.66  % (3607083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.40/3.66  % (3607083)CaDiCaL version: 2.1.3
% 6.40/3.66  % (3607083)Termination reason: Instruction limit
% 6.40/3.66  % (3607083)Termination phase: Finite model building constraint generation
% 6.40/3.66  % (3607083)Time elapsed: 0.775 s
% 6.40/3.66  % (3607083)Peak memory usage: 109 MB
% 6.40/3.66  % (3607083)Instructions burned: 2175 (million)
% 6.40/3.66  % (3607085)ott-2_1_sil=16000:newcnf=on:random_seed=3834551729:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2969 on theBenchmark for (2969ds/869Mi)
% 6.40/3.66  % (3607085) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3607032-3607085"...
% 6.40/3.66  % (3607085)...printing done.
% 6.40/3.66  % (3607085)Refutation found. Thanks to Tanya!
% 6.40/3.66  % SZS status Theorem for theBenchmark
% 6.40/3.66  % SZS output start Proof for theBenchmark
% See solution above
% 6.40/3.66  % (3607085)------------------------------
% 6.40/3.66  % (3607085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.40/3.66  % (3607085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.40/3.66  % (3607085)CaDiCaL version: 2.1.3
% 6.40/3.66  % (3607085)Termination reason: Refutation
% 6.40/3.66  % (3607085)Time elapsed: 0.070 s
% 6.40/3.66  % (3607085)Peak memory usage: 14 MB
% 6.40/3.66  % (3607085)Instructions burned: 107 (million)
% 6.40/3.66  % (3607032)Success in time 3.251 s
% 6.40/3.66  % Vampire exiting
%------------------------------------------------------------------------------