TSTP Solution File: LAT361+1 by Drodi---3.6.0

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%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : LAT361+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 20:25:59 EDT 2024

% Result   : Theorem 24.74s 3.54s
% Output   : CNFRefutation 24.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   41
% Syntax   : Number of formulae    :  192 (   8 unt;   0 def)
%            Number of atoms       :  895 (  41 equ)
%            Maximal formula atoms :   19 (   4 avg)
%            Number of connectives : 1117 ( 414   ~; 512   |; 141   &)
%                                         (  24 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   53 (  51 usr;  25 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   1 con; 0-5 aty)
%            Number of variables   :  120 ( 119   !;   1   ?)

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

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

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

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

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

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

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

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

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

fof(f55,axiom,
    ! [A] :
      ( ~ v2_setfam_1(A)
     => ( v9_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
        & v16_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
        & m2_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

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

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

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

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

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

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

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

fof(f139,plain,
    ? [A] :
      ( ~ v2_setfam_1(A)
      & ( k13_functor0(k5_waybel34(A),k4_waybel34(A),k5_waybel34(A),k7_waybel34(A),k6_waybel34(A)) != k12_functor0(k5_waybel34(A))
        | k13_functor0(k4_waybel34(A),k5_waybel34(A),k4_waybel34(A),k6_waybel34(A),k7_waybel34(A)) != k12_functor0(k4_waybel34(A)) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f140,plain,
    ( ~ v2_setfam_1(sk0_0)
    & ( k13_functor0(k5_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0),k7_waybel34(sk0_0),k6_waybel34(sk0_0)) != k12_functor0(k5_waybel34(sk0_0))
      | k13_functor0(k4_waybel34(sk0_0),k5_waybel34(sk0_0),k4_waybel34(sk0_0),k6_waybel34(sk0_0),k7_waybel34(sk0_0)) != k12_functor0(k4_waybel34(sk0_0)) ) ),
    inference(skolemization,[status(esa)],[f139]) ).

fof(f141,plain,
    ~ v2_setfam_1(sk0_0),
    inference(cnf_transformation,[status(esa)],[f140]) ).

fof(f142,plain,
    ( k13_functor0(k5_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0),k7_waybel34(sk0_0),k6_waybel34(sk0_0)) != k12_functor0(k5_waybel34(sk0_0))
    | k13_functor0(k4_waybel34(sk0_0),k5_waybel34(sk0_0),k4_waybel34(sk0_0),k6_waybel34(sk0_0),k7_waybel34(sk0_0)) != k12_functor0(k4_waybel34(sk0_0)) ),
    inference(cnf_transformation,[status(esa)],[f140]) ).

fof(f145,plain,
    ! [A,B,C] :
      ( ~ l1_altcat_1(A)
      | ~ l1_altcat_1(B)
      | ~ l2_functor0(C,A,B)
      | ~ v9_functor0(C,A,B)
      | C = g2_functor0(A,B,u1_functor0(A,B,C),u2_functor0(A,B,C)) ),
    inference(pre_NNF_transformation,[status(esa)],[f4]) ).

fof(f146,plain,
    ! [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)) ),
    inference(cnf_transformation,[status(esa)],[f145]) ).

fof(f222,plain,
    ! [A] :
      ( ~ l2_altcat_1(A)
      | v3_struct_0(A)
      | ~ v12_altcat_1(A)
      | ( ~ v3_struct_0(A)
        & v1_altcat_2(A) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f26]) ).

fof(f224,plain,
    ! [X0] :
      ( ~ l2_altcat_1(X0)
      | v3_struct_0(X0)
      | ~ v12_altcat_1(X0)
      | v1_altcat_2(X0) ),
    inference(cnf_transformation,[status(esa)],[f222]) ).

fof(f233,plain,
    ! [A] :
      ( v2_setfam_1(A)
      | ~ v1_xboole_0(A) ),
    inference(pre_NNF_transformation,[status(esa)],[f29]) ).

fof(f234,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | ~ v1_xboole_0(X0) ),
    inference(cnf_transformation,[status(esa)],[f233]) ).

fof(f290,plain,
    ! [A,B,C] :
      ( v3_struct_0(A)
      | ~ l1_altcat_1(A)
      | v3_struct_0(B)
      | ~ l1_altcat_1(B)
      | ~ l2_functor0(C,A,B)
      | ( v9_functor0(k15_functor0(A,B,C),B,A)
        & l2_functor0(k15_functor0(A,B,C),B,A) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f45]) ).

fof(f291,plain,
    ! [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) ),
    inference(cnf_transformation,[status(esa)],[f290]) ).

fof(f292,plain,
    ! [X0,X1,X2] :
      ( v3_struct_0(X0)
      | ~ l1_altcat_1(X0)
      | v3_struct_0(X1)
      | ~ l1_altcat_1(X1)
      | ~ l2_functor0(X2,X0,X1)
      | l2_functor0(k15_functor0(X0,X1,X2),X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f290]) ).

fof(f297,plain,
    ! [A] :
      ( v1_xboole_0(A)
      | ( ~ v3_struct_0(k4_waybel34(A))
        & v2_altcat_1(k4_waybel34(A))
        & v6_altcat_1(k4_waybel34(A))
        & v11_altcat_1(k4_waybel34(A))
        & v12_altcat_1(k4_waybel34(A))
        & v2_yellow21(k4_waybel34(A))
        & l2_altcat_1(k4_waybel34(A)) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f52]) ).

fof(f304,plain,
    ! [X0] :
      ( v1_xboole_0(X0)
      | l2_altcat_1(k4_waybel34(X0)) ),
    inference(cnf_transformation,[status(esa)],[f297]) ).

fof(f305,plain,
    ! [A] :
      ( v1_xboole_0(A)
      | ( ~ v3_struct_0(k5_waybel34(A))
        & v2_altcat_1(k5_waybel34(A))
        & v6_altcat_1(k5_waybel34(A))
        & v11_altcat_1(k5_waybel34(A))
        & v12_altcat_1(k5_waybel34(A))
        & v2_yellow21(k5_waybel34(A))
        & l2_altcat_1(k5_waybel34(A)) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f53]) ).

fof(f312,plain,
    ! [X0] :
      ( v1_xboole_0(X0)
      | l2_altcat_1(k5_waybel34(X0)) ),
    inference(cnf_transformation,[status(esa)],[f305]) ).

fof(f313,plain,
    ! [A] :
      ( v2_setfam_1(A)
      | ( v9_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
        & v16_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
        & m2_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A)) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f54]) ).

fof(f316,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ),
    inference(cnf_transformation,[status(esa)],[f313]) ).

fof(f317,plain,
    ! [A] :
      ( v2_setfam_1(A)
      | ( v9_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
        & v16_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
        & m2_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A)) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f55]) ).

fof(f318,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | v9_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0)) ),
    inference(cnf_transformation,[status(esa)],[f317]) ).

fof(f323,plain,
    ! [A] :
      ( ~ l2_altcat_1(A)
      | l1_altcat_1(A) ),
    inference(pre_NNF_transformation,[status(esa)],[f59]) ).

fof(f324,plain,
    ! [X0] :
      ( ~ l2_altcat_1(X0)
      | l1_altcat_1(X0) ),
    inference(cnf_transformation,[status(esa)],[f323]) ).

fof(f333,plain,
    ! [A,B] :
      ( v3_struct_0(A)
      | ~ v2_altcat_1(A)
      | ~ v12_altcat_1(A)
      | ~ l2_altcat_1(A)
      | v3_struct_0(B)
      | ~ v12_altcat_1(B)
      | ~ l2_altcat_1(B)
      | ! [C] :
          ( ~ m2_functor0(C,A,B)
          | l2_functor0(C,A,B) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f65]) ).

fof(f334,plain,
    ! [X0,X1,X2] :
      ( 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)
      | ~ m2_functor0(X2,X0,X1)
      | l2_functor0(X2,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f333]) ).

fof(f415,plain,
    ! [A] :
      ( v2_setfam_1(A)
      | ( ~ v3_struct_0(k4_waybel34(A))
        & v2_altcat_1(k4_waybel34(A))
        & v6_altcat_1(k4_waybel34(A))
        & v9_altcat_1(k4_waybel34(A))
        & v11_altcat_1(k4_waybel34(A))
        & v12_altcat_1(k4_waybel34(A))
        & v1_altcat_2(k4_waybel34(A))
        & v2_yellow18(k4_waybel34(A))
        & v3_yellow18(k4_waybel34(A))
        & v4_yellow18(k4_waybel34(A))
        & v1_yellow21(k4_waybel34(A))
        & v2_yellow21(k4_waybel34(A))
        & v3_yellow21(k4_waybel34(A)) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f97]) ).

fof(f416,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | ~ v3_struct_0(k4_waybel34(X0)) ),
    inference(cnf_transformation,[status(esa)],[f415]) ).

fof(f417,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | v2_altcat_1(k4_waybel34(X0)) ),
    inference(cnf_transformation,[status(esa)],[f415]) ).

fof(f421,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | v12_altcat_1(k4_waybel34(X0)) ),
    inference(cnf_transformation,[status(esa)],[f415]) ).

fof(f435,plain,
    ! [A] :
      ( v2_setfam_1(A)
      | ( ~ v3_struct_0(k5_waybel34(A))
        & v2_altcat_1(k5_waybel34(A))
        & v6_altcat_1(k5_waybel34(A))
        & v9_altcat_1(k5_waybel34(A))
        & v11_altcat_1(k5_waybel34(A))
        & v12_altcat_1(k5_waybel34(A))
        & v1_altcat_2(k5_waybel34(A))
        & v2_yellow18(k5_waybel34(A))
        & v3_yellow18(k5_waybel34(A))
        & v4_yellow18(k5_waybel34(A))
        & v1_yellow21(k5_waybel34(A))
        & v2_yellow21(k5_waybel34(A))
        & v3_yellow21(k5_waybel34(A)) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f99]) ).

fof(f436,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | ~ v3_struct_0(k5_waybel34(X0)) ),
    inference(cnf_transformation,[status(esa)],[f435]) ).

fof(f437,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | v2_altcat_1(k5_waybel34(X0)) ),
    inference(cnf_transformation,[status(esa)],[f435]) ).

fof(f441,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | v12_altcat_1(k5_waybel34(X0)) ),
    inference(cnf_transformation,[status(esa)],[f435]) ).

fof(f453,plain,
    ! [A] :
      ( v2_setfam_1(A)
      | ( v6_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
        & v8_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
        & v9_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
        & v11_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
        & v12_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
        & v14_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
        & v16_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
        & v21_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A)) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f101]) ).

fof(f455,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ),
    inference(cnf_transformation,[status(esa)],[f453]) ).

fof(f461,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ),
    inference(cnf_transformation,[status(esa)],[f453]) ).

fof(f462,plain,
    ! [A] :
      ( v2_setfam_1(A)
      | ( v6_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
        & v8_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
        & v9_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
        & v11_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
        & v12_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
        & v14_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
        & v16_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
        & v21_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A)) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f102]) ).

fof(f464,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | v8_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0)) ),
    inference(cnf_transformation,[status(esa)],[f462]) ).

fof(f470,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | v21_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0)) ),
    inference(cnf_transformation,[status(esa)],[f462]) ).

fof(f593,plain,
    ! [A] :
      ( v2_setfam_1(A)
      | ( k15_functor0(k4_waybel34(A),k5_waybel34(A),k6_waybel34(A)) = k7_waybel34(A)
        & k15_functor0(k5_waybel34(A),k4_waybel34(A),k7_waybel34(A)) = k6_waybel34(A) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f129]) ).

fof(f594,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) = k7_waybel34(X0) ),
    inference(cnf_transformation,[status(esa)],[f593]) ).

fof(f595,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)) = k6_waybel34(X0) ),
    inference(cnf_transformation,[status(esa)],[f593]) ).

fof(f598,plain,
    ! [A] :
      ( v3_struct_0(A)
      | ~ v2_altcat_1(A)
      | ~ v12_altcat_1(A)
      | ~ v1_altcat_2(A)
      | ~ l2_altcat_1(A)
      | ! [B] :
          ( v3_struct_0(B)
          | ~ v2_altcat_1(B)
          | ~ v12_altcat_1(B)
          | ~ v1_altcat_2(B)
          | ~ l2_altcat_1(B)
          | ! [C] :
              ( ~ v8_functor0(C,A,B)
              | ~ l2_functor0(C,A,B)
              | ~ v21_functor0(C,A,B)
              | ! [D] :
                  ( ~ v8_functor0(D,B,A)
                  | ~ l2_functor0(D,B,A)
                  | g2_functor0(B,A,u1_functor0(B,A,D),u2_functor0(B,A,D)) != k15_functor0(A,B,C)
                  | k13_functor0(B,A,B,D,C) = k12_functor0(B) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f131]) ).

fof(f599,plain,
    ! [X0,X1,X2,X3] :
      ( v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ v1_altcat_2(X0)
      | ~ l2_altcat_1(X0)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ v1_altcat_2(X1)
      | ~ l2_altcat_1(X1)
      | ~ v8_functor0(X2,X0,X1)
      | ~ l2_functor0(X2,X0,X1)
      | ~ v21_functor0(X2,X0,X1)
      | ~ 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) ),
    inference(cnf_transformation,[status(esa)],[f598]) ).

fof(f620,plain,
    ( spl0_0
  <=> k13_functor0(k5_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0),k7_waybel34(sk0_0),k6_waybel34(sk0_0)) = k12_functor0(k5_waybel34(sk0_0)) ),
    introduced(split_symbol_definition) ).

fof(f622,plain,
    ( k13_functor0(k5_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0),k7_waybel34(sk0_0),k6_waybel34(sk0_0)) != k12_functor0(k5_waybel34(sk0_0))
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f620]) ).

fof(f623,plain,
    ( spl0_1
  <=> k13_functor0(k4_waybel34(sk0_0),k5_waybel34(sk0_0),k4_waybel34(sk0_0),k6_waybel34(sk0_0),k7_waybel34(sk0_0)) = k12_functor0(k4_waybel34(sk0_0)) ),
    introduced(split_symbol_definition) ).

fof(f625,plain,
    ( k13_functor0(k4_waybel34(sk0_0),k5_waybel34(sk0_0),k4_waybel34(sk0_0),k6_waybel34(sk0_0),k7_waybel34(sk0_0)) != k12_functor0(k4_waybel34(sk0_0))
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f623]) ).

fof(f626,plain,
    ( ~ spl0_0
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f142,f620,f623]) ).

fof(f1575,plain,
    ! [X0] :
      ( v3_struct_0(k4_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_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,[status(thm)],[f334,f316]) ).

fof(f1576,plain,
    ! [X0] :
      ( ~ v2_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_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,[status(thm)],[f1575,f416]) ).

fof(f1627,plain,
    ! [X0] :
      ( ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_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,[status(thm)],[f1576,f417]) ).

fof(f2302,plain,
    ! [X0] :
      ( v3_struct_0(k4_waybel34(X0))
      | ~ l1_altcat_1(k4_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | ~ l1_altcat_1(k5_waybel34(X0))
      | ~ l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | l2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(paramodulation,[status(thm)],[f594,f292]) ).

fof(f2303,plain,
    ! [X0] :
      ( ~ l1_altcat_1(k4_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | ~ l1_altcat_1(k5_waybel34(X0))
      | ~ l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | l2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2302,f416]) ).

fof(f2305,plain,
    ! [X0] :
      ( ~ l1_altcat_1(k4_waybel34(X0))
      | ~ l1_altcat_1(k5_waybel34(X0))
      | ~ l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | l2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2303,f436]) ).

fof(f2306,plain,
    ! [X0] :
      ( ~ l1_altcat_1(k4_waybel34(X0))
      | ~ l1_altcat_1(k5_waybel34(X0))
      | l2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | v2_setfam_1(X0)
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(resolution,[status(thm)],[f2305,f1627]) ).

fof(f2307,plain,
    ! [X0] :
      ( ~ l1_altcat_1(k4_waybel34(X0))
      | ~ l1_altcat_1(k5_waybel34(X0))
      | l2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | v2_setfam_1(X0)
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0)) ),
    inference(duplicate_literals_removal,[status(esa)],[f2306]) ).

fof(f2308,plain,
    ! [X0] :
      ( ~ l1_altcat_1(k5_waybel34(X0))
      | l2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | v2_setfam_1(X0)
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2307,f324]) ).

fof(f2309,plain,
    ! [X0] :
      ( l2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | v2_setfam_1(X0)
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2308,f324]) ).

fof(f2324,plain,
    ! [X0,X1,X2,X3] :
      ( v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ v1_altcat_2(X1)
      | ~ l2_altcat_1(X1)
      | ~ v8_functor0(X2,X0,X1)
      | ~ l2_functor0(X2,X0,X1)
      | ~ v21_functor0(X2,X0,X1)
      | ~ 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) ),
    inference(forward_subsumption_resolution,[status(thm)],[f599,f224]) ).

fof(f2325,plain,
    ! [X0,X1,X2] :
      ( v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ v1_altcat_2(X1)
      | ~ l2_altcat_1(X1)
      | ~ v8_functor0(X2,X0,X1)
      | ~ l2_functor0(X2,X0,X1)
      | ~ v21_functor0(X2,X0,X1)
      | ~ v8_functor0(k15_functor0(X0,X1,X2),X1,X0)
      | ~ l2_functor0(k15_functor0(X0,X1,X2),X1,X0)
      | k13_functor0(X1,X0,X1,k15_functor0(X0,X1,X2),X2) = k12_functor0(X1)
      | ~ l1_altcat_1(X1)
      | ~ l1_altcat_1(X0)
      | ~ l2_functor0(k15_functor0(X0,X1,X2),X1,X0)
      | ~ v9_functor0(k15_functor0(X0,X1,X2),X1,X0) ),
    inference(resolution,[status(thm)],[f2324,f146]) ).

fof(f2326,plain,
    ! [X0,X1,X2] :
      ( v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ v1_altcat_2(X1)
      | ~ l2_altcat_1(X1)
      | ~ v8_functor0(X2,X0,X1)
      | ~ l2_functor0(X2,X0,X1)
      | ~ v21_functor0(X2,X0,X1)
      | ~ v8_functor0(k15_functor0(X0,X1,X2),X1,X0)
      | ~ l2_functor0(k15_functor0(X0,X1,X2),X1,X0)
      | k13_functor0(X1,X0,X1,k15_functor0(X0,X1,X2),X2) = k12_functor0(X1)
      | ~ l1_altcat_1(X1)
      | ~ l1_altcat_1(X0)
      | ~ v9_functor0(k15_functor0(X0,X1,X2),X1,X0) ),
    inference(duplicate_literals_removal,[status(esa)],[f2325]) ).

fof(f2327,plain,
    ! [X0,X1,X2] :
      ( v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1)
      | ~ v8_functor0(X2,X0,X1)
      | ~ l2_functor0(X2,X0,X1)
      | ~ v21_functor0(X2,X0,X1)
      | ~ v8_functor0(k15_functor0(X0,X1,X2),X1,X0)
      | ~ l2_functor0(k15_functor0(X0,X1,X2),X1,X0)
      | k13_functor0(X1,X0,X1,k15_functor0(X0,X1,X2),X2) = k12_functor0(X1)
      | ~ l1_altcat_1(X1)
      | ~ l1_altcat_1(X0)
      | ~ v9_functor0(k15_functor0(X0,X1,X2),X1,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2326,f224]) ).

fof(f4564,plain,
    ! [X0,X1,X2] :
      ( v3_struct_0(X0)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0)
      | v3_struct_0(X1)
      | ~ v2_altcat_1(X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1)
      | ~ v8_functor0(X2,X0,X1)
      | ~ l2_functor0(X2,X0,X1)
      | ~ v21_functor0(X2,X0,X1)
      | ~ v8_functor0(k15_functor0(X0,X1,X2),X1,X0)
      | k13_functor0(X1,X0,X1,k15_functor0(X0,X1,X2),X2) = k12_functor0(X1)
      | ~ l1_altcat_1(X1)
      | ~ l1_altcat_1(X0)
      | ~ v9_functor0(k15_functor0(X0,X1,X2),X1,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2327,f292]) ).

fof(f4565,plain,
    ! [X0] :
      ( v3_struct_0(k5_waybel34(X0))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | ~ v8_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | ~ l2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | ~ v21_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | ~ v8_functor0(k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)),k4_waybel34(X0),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))
      | ~ l1_altcat_1(k4_waybel34(X0))
      | ~ l1_altcat_1(k5_waybel34(X0))
      | ~ v9_functor0(k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(paramodulation,[status(thm)],[f595,f4564]) ).

fof(f4566,plain,
    ! [X0] :
      ( ~ v2_altcat_1(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | ~ v8_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | ~ l2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | ~ v21_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | ~ v8_functor0(k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)),k4_waybel34(X0),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))
      | ~ l1_altcat_1(k4_waybel34(X0))
      | ~ l1_altcat_1(k5_waybel34(X0))
      | ~ v9_functor0(k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4565,f436]) ).

fof(f4567,plain,
    ! [X0] :
      ( v3_struct_0(k4_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | ~ v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | ~ l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | ~ v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | ~ v8_functor0(k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)),k5_waybel34(X0),k4_waybel34(X0))
      | k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k6_waybel34(X0)) = k12_functor0(k5_waybel34(X0))
      | ~ l1_altcat_1(k5_waybel34(X0))
      | ~ l1_altcat_1(k4_waybel34(X0))
      | ~ v9_functor0(k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)),k5_waybel34(X0),k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(paramodulation,[status(thm)],[f594,f4564]) ).

fof(f4568,plain,
    ! [X0] :
      ( ~ v2_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | ~ v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | ~ l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | ~ v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | ~ v8_functor0(k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)),k5_waybel34(X0),k4_waybel34(X0))
      | k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k6_waybel34(X0)) = k12_functor0(k5_waybel34(X0))
      | ~ l1_altcat_1(k5_waybel34(X0))
      | ~ l1_altcat_1(k4_waybel34(X0))
      | ~ v9_functor0(k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)),k5_waybel34(X0),k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4567,f416]) ).

fof(f4569,plain,
    ! [X0] :
      ( ~ v12_altcat_1(k5_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | v3_struct_0(k4_waybel34(X0))
      | ~ v2_altcat_1(k4_waybel34(X0))
      | ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | ~ v8_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | ~ l2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | ~ v21_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
      | ~ v8_functor0(k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)),k4_waybel34(X0),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))
      | ~ l1_altcat_1(k4_waybel34(X0))
      | ~ l1_altcat_1(k5_waybel34(X0))
      | ~ v9_functor0(k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4566,f437]) ).

fof(f4570,plain,
    ! [X0] :
      ( ~ v12_altcat_1(k4_waybel34(X0))
      | ~ l2_altcat_1(k4_waybel34(X0))
      | v3_struct_0(k5_waybel34(X0))
      | ~ v2_altcat_1(k5_waybel34(X0))
      | ~ v12_altcat_1(k5_waybel34(X0))
      | ~ l2_altcat_1(k5_waybel34(X0))
      | ~ v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | ~ l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | ~ v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | ~ v8_functor0(k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)),k5_waybel34(X0),k4_waybel34(X0))
      | k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k6_waybel34(X0)) = k12_functor0(k5_waybel34(X0))
      | ~ l1_altcat_1(k5_waybel34(X0))
      | ~ l1_altcat_1(k4_waybel34(X0))
      | ~ v9_functor0(k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)),k5_waybel34(X0),k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4568,f417]) ).

fof(f4571,plain,
    ( spl0_21
  <=> v12_altcat_1(k4_waybel34(sk0_0)) ),
    introduced(split_symbol_definition) ).

fof(f4573,plain,
    ( ~ v12_altcat_1(k4_waybel34(sk0_0))
    | spl0_21 ),
    inference(component_clause,[status(thm)],[f4571]) ).

fof(f4574,plain,
    ( spl0_22
  <=> l2_altcat_1(k4_waybel34(sk0_0)) ),
    introduced(split_symbol_definition) ).

fof(f4575,plain,
    ( l2_altcat_1(k4_waybel34(sk0_0))
    | ~ spl0_22 ),
    inference(component_clause,[status(thm)],[f4574]) ).

fof(f4576,plain,
    ( ~ l2_altcat_1(k4_waybel34(sk0_0))
    | spl0_22 ),
    inference(component_clause,[status(thm)],[f4574]) ).

fof(f4577,plain,
    ( spl0_23
  <=> v3_struct_0(k5_waybel34(sk0_0)) ),
    introduced(split_symbol_definition) ).

fof(f4578,plain,
    ( v3_struct_0(k5_waybel34(sk0_0))
    | ~ spl0_23 ),
    inference(component_clause,[status(thm)],[f4577]) ).

fof(f4580,plain,
    ( spl0_24
  <=> v2_altcat_1(k5_waybel34(sk0_0)) ),
    introduced(split_symbol_definition) ).

fof(f4582,plain,
    ( ~ v2_altcat_1(k5_waybel34(sk0_0))
    | spl0_24 ),
    inference(component_clause,[status(thm)],[f4580]) ).

fof(f4583,plain,
    ( spl0_25
  <=> v12_altcat_1(k5_waybel34(sk0_0)) ),
    introduced(split_symbol_definition) ).

fof(f4585,plain,
    ( ~ v12_altcat_1(k5_waybel34(sk0_0))
    | spl0_25 ),
    inference(component_clause,[status(thm)],[f4583]) ).

fof(f4586,plain,
    ( spl0_26
  <=> l2_altcat_1(k5_waybel34(sk0_0)) ),
    introduced(split_symbol_definition) ).

fof(f4587,plain,
    ( l2_altcat_1(k5_waybel34(sk0_0))
    | ~ spl0_26 ),
    inference(component_clause,[status(thm)],[f4586]) ).

fof(f4588,plain,
    ( ~ l2_altcat_1(k5_waybel34(sk0_0))
    | spl0_26 ),
    inference(component_clause,[status(thm)],[f4586]) ).

fof(f4589,plain,
    ( spl0_27
  <=> v8_functor0(k6_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0)) ),
    introduced(split_symbol_definition) ).

fof(f4591,plain,
    ( ~ v8_functor0(k6_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0))
    | spl0_27 ),
    inference(component_clause,[status(thm)],[f4589]) ).

fof(f4592,plain,
    ( spl0_28
  <=> l2_functor0(k6_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0)) ),
    introduced(split_symbol_definition) ).

fof(f4594,plain,
    ( ~ l2_functor0(k6_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0))
    | spl0_28 ),
    inference(component_clause,[status(thm)],[f4592]) ).

fof(f4595,plain,
    ( spl0_29
  <=> v21_functor0(k6_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0)) ),
    introduced(split_symbol_definition) ).

fof(f4597,plain,
    ( ~ v21_functor0(k6_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0))
    | spl0_29 ),
    inference(component_clause,[status(thm)],[f4595]) ).

fof(f4598,plain,
    ( spl0_30
  <=> v8_functor0(k15_functor0(k4_waybel34(sk0_0),k5_waybel34(sk0_0),k6_waybel34(sk0_0)),k5_waybel34(sk0_0),k4_waybel34(sk0_0)) ),
    introduced(split_symbol_definition) ).

fof(f4600,plain,
    ( ~ v8_functor0(k15_functor0(k4_waybel34(sk0_0),k5_waybel34(sk0_0),k6_waybel34(sk0_0)),k5_waybel34(sk0_0),k4_waybel34(sk0_0))
    | spl0_30 ),
    inference(component_clause,[status(thm)],[f4598]) ).

fof(f4601,plain,
    ( spl0_31
  <=> l1_altcat_1(k5_waybel34(sk0_0)) ),
    introduced(split_symbol_definition) ).

fof(f4603,plain,
    ( ~ l1_altcat_1(k5_waybel34(sk0_0))
    | spl0_31 ),
    inference(component_clause,[status(thm)],[f4601]) ).

fof(f4604,plain,
    ( spl0_32
  <=> l1_altcat_1(k4_waybel34(sk0_0)) ),
    introduced(split_symbol_definition) ).

fof(f4606,plain,
    ( ~ l1_altcat_1(k4_waybel34(sk0_0))
    | spl0_32 ),
    inference(component_clause,[status(thm)],[f4604]) ).

fof(f4607,plain,
    ( spl0_33
  <=> v9_functor0(k15_functor0(k4_waybel34(sk0_0),k5_waybel34(sk0_0),k6_waybel34(sk0_0)),k5_waybel34(sk0_0),k4_waybel34(sk0_0)) ),
    introduced(split_symbol_definition) ).

fof(f4609,plain,
    ( ~ v9_functor0(k15_functor0(k4_waybel34(sk0_0),k5_waybel34(sk0_0),k6_waybel34(sk0_0)),k5_waybel34(sk0_0),k4_waybel34(sk0_0))
    | spl0_33 ),
    inference(component_clause,[status(thm)],[f4607]) ).

fof(f4610,plain,
    ( spl0_34
  <=> v2_setfam_1(sk0_0) ),
    introduced(split_symbol_definition) ).

fof(f4611,plain,
    ( v2_setfam_1(sk0_0)
    | ~ spl0_34 ),
    inference(component_clause,[status(thm)],[f4610]) ).

fof(f4613,plain,
    ( ~ v12_altcat_1(k4_waybel34(sk0_0))
    | ~ l2_altcat_1(k4_waybel34(sk0_0))
    | v3_struct_0(k5_waybel34(sk0_0))
    | ~ v2_altcat_1(k5_waybel34(sk0_0))
    | ~ v12_altcat_1(k5_waybel34(sk0_0))
    | ~ l2_altcat_1(k5_waybel34(sk0_0))
    | ~ v8_functor0(k6_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0))
    | ~ l2_functor0(k6_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0))
    | ~ v21_functor0(k6_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0))
    | ~ v8_functor0(k15_functor0(k4_waybel34(sk0_0),k5_waybel34(sk0_0),k6_waybel34(sk0_0)),k5_waybel34(sk0_0),k4_waybel34(sk0_0))
    | ~ l1_altcat_1(k5_waybel34(sk0_0))
    | ~ l1_altcat_1(k4_waybel34(sk0_0))
    | ~ v9_functor0(k15_functor0(k4_waybel34(sk0_0),k5_waybel34(sk0_0),k6_waybel34(sk0_0)),k5_waybel34(sk0_0),k4_waybel34(sk0_0))
    | v2_setfam_1(sk0_0)
    | spl0_0 ),
    inference(resolution,[status(thm)],[f4570,f622]) ).

fof(f4614,plain,
    ( ~ spl0_21
    | ~ spl0_22
    | spl0_23
    | ~ spl0_24
    | ~ spl0_25
    | ~ spl0_26
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_29
    | ~ spl0_30
    | ~ spl0_31
    | ~ spl0_32
    | ~ spl0_33
    | spl0_34
    | spl0_0 ),
    inference(split_clause,[status(thm)],[f4613,f4571,f4574,f4577,f4580,f4583,f4586,f4589,f4592,f4595,f4598,f4601,f4604,f4607,f4610,f620]) ).

fof(f4672,plain,
    ( spl0_35
  <=> v3_struct_0(k4_waybel34(sk0_0)) ),
    introduced(split_symbol_definition) ).

fof(f4673,plain,
    ( v3_struct_0(k4_waybel34(sk0_0))
    | ~ spl0_35 ),
    inference(component_clause,[status(thm)],[f4672]) ).

fof(f4677,plain,
    ( spl0_36
  <=> v9_functor0(k7_waybel34(sk0_0),k5_waybel34(sk0_0),k4_waybel34(sk0_0)) ),
    introduced(split_symbol_definition) ).

fof(f4679,plain,
    ( ~ v9_functor0(k7_waybel34(sk0_0),k5_waybel34(sk0_0),k4_waybel34(sk0_0))
    | spl0_36 ),
    inference(component_clause,[status(thm)],[f4677]) ).

fof(f4680,plain,
    ( ~ v9_functor0(k7_waybel34(sk0_0),k5_waybel34(sk0_0),k4_waybel34(sk0_0))
    | v2_setfam_1(sk0_0)
    | spl0_33 ),
    inference(paramodulation,[status(thm)],[f594,f4609]) ).

fof(f4681,plain,
    ( ~ spl0_36
    | spl0_34
    | spl0_33 ),
    inference(split_clause,[status(thm)],[f4680,f4677,f4610,f4607]) ).

fof(f4682,plain,
    ( v1_xboole_0(sk0_0)
    | spl0_26 ),
    inference(resolution,[status(thm)],[f4588,f312]) ).

fof(f4684,plain,
    ( v2_setfam_1(sk0_0)
    | spl0_25 ),
    inference(resolution,[status(thm)],[f4585,f441]) ).

fof(f4685,plain,
    ( $false
    | spl0_25 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4684,f141]) ).

fof(f4686,plain,
    spl0_25,
    inference(contradiction_clause,[status(thm)],[f4685]) ).

fof(f4688,plain,
    ( v2_setfam_1(sk0_0)
    | spl0_24 ),
    inference(resolution,[status(thm)],[f4582,f437]) ).

fof(f4689,plain,
    ( $false
    | spl0_24 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4688,f141]) ).

fof(f4690,plain,
    spl0_24,
    inference(contradiction_clause,[status(thm)],[f4689]) ).

fof(f4691,plain,
    ( v1_xboole_0(sk0_0)
    | spl0_22 ),
    inference(resolution,[status(thm)],[f4576,f304]) ).

fof(f4692,plain,
    ( spl0_37
  <=> v2_altcat_1(k4_waybel34(sk0_0)) ),
    introduced(split_symbol_definition) ).

fof(f4694,plain,
    ( ~ v2_altcat_1(k4_waybel34(sk0_0))
    | spl0_37 ),
    inference(component_clause,[status(thm)],[f4692]) ).

fof(f4695,plain,
    ( spl0_38
  <=> v8_functor0(k7_waybel34(sk0_0),k5_waybel34(sk0_0),k4_waybel34(sk0_0)) ),
    introduced(split_symbol_definition) ).

fof(f4697,plain,
    ( ~ v8_functor0(k7_waybel34(sk0_0),k5_waybel34(sk0_0),k4_waybel34(sk0_0))
    | spl0_38 ),
    inference(component_clause,[status(thm)],[f4695]) ).

fof(f4698,plain,
    ( spl0_39
  <=> l2_functor0(k7_waybel34(sk0_0),k5_waybel34(sk0_0),k4_waybel34(sk0_0)) ),
    introduced(split_symbol_definition) ).

fof(f4700,plain,
    ( ~ l2_functor0(k7_waybel34(sk0_0),k5_waybel34(sk0_0),k4_waybel34(sk0_0))
    | spl0_39 ),
    inference(component_clause,[status(thm)],[f4698]) ).

fof(f4701,plain,
    ( spl0_40
  <=> v21_functor0(k7_waybel34(sk0_0),k5_waybel34(sk0_0),k4_waybel34(sk0_0)) ),
    introduced(split_symbol_definition) ).

fof(f4703,plain,
    ( ~ v21_functor0(k7_waybel34(sk0_0),k5_waybel34(sk0_0),k4_waybel34(sk0_0))
    | spl0_40 ),
    inference(component_clause,[status(thm)],[f4701]) ).

fof(f4704,plain,
    ( spl0_41
  <=> v8_functor0(k15_functor0(k5_waybel34(sk0_0),k4_waybel34(sk0_0),k7_waybel34(sk0_0)),k4_waybel34(sk0_0),k5_waybel34(sk0_0)) ),
    introduced(split_symbol_definition) ).

fof(f4706,plain,
    ( ~ v8_functor0(k15_functor0(k5_waybel34(sk0_0),k4_waybel34(sk0_0),k7_waybel34(sk0_0)),k4_waybel34(sk0_0),k5_waybel34(sk0_0))
    | spl0_41 ),
    inference(component_clause,[status(thm)],[f4704]) ).

fof(f4707,plain,
    ( spl0_42
  <=> v9_functor0(k15_functor0(k5_waybel34(sk0_0),k4_waybel34(sk0_0),k7_waybel34(sk0_0)),k4_waybel34(sk0_0),k5_waybel34(sk0_0)) ),
    introduced(split_symbol_definition) ).

fof(f4709,plain,
    ( ~ v9_functor0(k15_functor0(k5_waybel34(sk0_0),k4_waybel34(sk0_0),k7_waybel34(sk0_0)),k4_waybel34(sk0_0),k5_waybel34(sk0_0))
    | spl0_42 ),
    inference(component_clause,[status(thm)],[f4707]) ).

fof(f4710,plain,
    ( ~ v12_altcat_1(k5_waybel34(sk0_0))
    | ~ l2_altcat_1(k5_waybel34(sk0_0))
    | v3_struct_0(k4_waybel34(sk0_0))
    | ~ v2_altcat_1(k4_waybel34(sk0_0))
    | ~ v12_altcat_1(k4_waybel34(sk0_0))
    | ~ l2_altcat_1(k4_waybel34(sk0_0))
    | ~ v8_functor0(k7_waybel34(sk0_0),k5_waybel34(sk0_0),k4_waybel34(sk0_0))
    | ~ l2_functor0(k7_waybel34(sk0_0),k5_waybel34(sk0_0),k4_waybel34(sk0_0))
    | ~ v21_functor0(k7_waybel34(sk0_0),k5_waybel34(sk0_0),k4_waybel34(sk0_0))
    | ~ v8_functor0(k15_functor0(k5_waybel34(sk0_0),k4_waybel34(sk0_0),k7_waybel34(sk0_0)),k4_waybel34(sk0_0),k5_waybel34(sk0_0))
    | ~ l1_altcat_1(k4_waybel34(sk0_0))
    | ~ l1_altcat_1(k5_waybel34(sk0_0))
    | ~ v9_functor0(k15_functor0(k5_waybel34(sk0_0),k4_waybel34(sk0_0),k7_waybel34(sk0_0)),k4_waybel34(sk0_0),k5_waybel34(sk0_0))
    | v2_setfam_1(sk0_0)
    | spl0_1 ),
    inference(resolution,[status(thm)],[f625,f4569]) ).

fof(f4711,plain,
    ( ~ spl0_25
    | ~ spl0_26
    | spl0_35
    | ~ spl0_37
    | ~ spl0_21
    | ~ spl0_22
    | ~ spl0_38
    | ~ spl0_39
    | ~ spl0_40
    | ~ spl0_41
    | ~ spl0_32
    | ~ spl0_31
    | ~ spl0_42
    | spl0_34
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f4710,f4583,f4586,f4672,f4692,f4571,f4574,f4695,f4698,f4701,f4704,f4604,f4601,f4707,f4610,f623]) ).

fof(f4713,plain,
    ( v2_setfam_1(sk0_0)
    | spl0_21 ),
    inference(resolution,[status(thm)],[f4573,f421]) ).

fof(f4714,plain,
    ( $false
    | spl0_21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4713,f141]) ).

fof(f4715,plain,
    spl0_21,
    inference(contradiction_clause,[status(thm)],[f4714]) ).

fof(f4770,plain,
    ( v2_setfam_1(sk0_0)
    | spl0_37 ),
    inference(resolution,[status(thm)],[f4694,f417]) ).

fof(f4771,plain,
    ( $false
    | spl0_37 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4770,f141]) ).

fof(f4772,plain,
    spl0_37,
    inference(contradiction_clause,[status(thm)],[f4771]) ).

fof(f4828,plain,
    ( v2_setfam_1(sk0_0)
    | spl0_36 ),
    inference(resolution,[status(thm)],[f4679,f318]) ).

fof(f4829,plain,
    ( $false
    | spl0_36 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4828,f141]) ).

fof(f4830,plain,
    spl0_36,
    inference(contradiction_clause,[status(thm)],[f4829]) ).

fof(f4831,plain,
    ( $false
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4611,f141]) ).

fof(f4832,plain,
    ~ spl0_34,
    inference(contradiction_clause,[status(thm)],[f4831]) ).

fof(f4833,plain,
    ( v2_setfam_1(sk0_0)
    | spl0_27 ),
    inference(resolution,[status(thm)],[f4591,f455]) ).

fof(f4834,plain,
    ( spl0_34
    | spl0_27 ),
    inference(split_clause,[status(thm)],[f4833,f4610,f4589]) ).

fof(f4837,plain,
    ( ~ v8_functor0(k7_waybel34(sk0_0),k5_waybel34(sk0_0),k4_waybel34(sk0_0))
    | v2_setfam_1(sk0_0)
    | spl0_30 ),
    inference(paramodulation,[status(thm)],[f594,f4600]) ).

fof(f4838,plain,
    ( ~ spl0_38
    | spl0_34
    | spl0_30 ),
    inference(split_clause,[status(thm)],[f4837,f4695,f4610,f4598]) ).

fof(f4841,plain,
    ( ~ v12_altcat_1(k4_waybel34(sk0_0))
    | ~ l2_altcat_1(k4_waybel34(sk0_0))
    | v3_struct_0(k5_waybel34(sk0_0))
    | ~ v12_altcat_1(k5_waybel34(sk0_0))
    | ~ l2_altcat_1(k5_waybel34(sk0_0))
    | v2_setfam_1(sk0_0)
    | spl0_28 ),
    inference(resolution,[status(thm)],[f4594,f1627]) ).

fof(f4842,plain,
    ( ~ spl0_21
    | ~ spl0_22
    | spl0_23
    | ~ spl0_25
    | ~ spl0_26
    | spl0_34
    | spl0_28 ),
    inference(split_clause,[status(thm)],[f4841,f4571,f4574,f4577,f4583,f4586,f4610,f4592]) ).

fof(f4843,plain,
    ( v2_setfam_1(sk0_0)
    | ~ v12_altcat_1(k4_waybel34(sk0_0))
    | ~ l2_altcat_1(k4_waybel34(sk0_0))
    | v3_struct_0(k5_waybel34(sk0_0))
    | ~ v12_altcat_1(k5_waybel34(sk0_0))
    | ~ l2_altcat_1(k5_waybel34(sk0_0))
    | spl0_39 ),
    inference(resolution,[status(thm)],[f4700,f2309]) ).

fof(f4844,plain,
    ( spl0_34
    | ~ spl0_21
    | ~ spl0_22
    | spl0_23
    | ~ spl0_25
    | ~ spl0_26
    | spl0_39 ),
    inference(split_clause,[status(thm)],[f4843,f4610,f4571,f4574,f4577,f4583,f4586,f4698]) ).

fof(f4847,plain,
    ( v2_setfam_1(sk0_0)
    | spl0_38 ),
    inference(resolution,[status(thm)],[f4697,f464]) ).

fof(f4848,plain,
    ( spl0_34
    | spl0_38 ),
    inference(split_clause,[status(thm)],[f4847,f4610,f4695]) ).

fof(f4858,plain,
    ( v2_setfam_1(sk0_0)
    | spl0_26 ),
    inference(resolution,[status(thm)],[f4682,f234]) ).

fof(f4859,plain,
    ( spl0_34
    | spl0_26 ),
    inference(split_clause,[status(thm)],[f4858,f4610,f4586]) ).

fof(f4861,plain,
    ( v2_setfam_1(sk0_0)
    | ~ spl0_23 ),
    inference(resolution,[status(thm)],[f4578,f436]) ).

fof(f4862,plain,
    ( spl0_34
    | ~ spl0_23 ),
    inference(split_clause,[status(thm)],[f4861,f4610,f4577]) ).

fof(f4863,plain,
    ( l1_altcat_1(k5_waybel34(sk0_0))
    | ~ spl0_26 ),
    inference(resolution,[status(thm)],[f4587,f324]) ).

fof(f4864,plain,
    ( $false
    | spl0_31
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4863,f4603]) ).

fof(f4865,plain,
    ( spl0_31
    | ~ spl0_26 ),
    inference(contradiction_clause,[status(thm)],[f4864]) ).

fof(f4876,plain,
    ( v2_setfam_1(sk0_0)
    | spl0_22 ),
    inference(resolution,[status(thm)],[f4691,f234]) ).

fof(f4877,plain,
    ( spl0_34
    | spl0_22 ),
    inference(split_clause,[status(thm)],[f4876,f4610,f4574]) ).

fof(f4879,plain,
    ( v2_setfam_1(sk0_0)
    | ~ spl0_35 ),
    inference(resolution,[status(thm)],[f4673,f416]) ).

fof(f4880,plain,
    ( spl0_34
    | ~ spl0_35 ),
    inference(split_clause,[status(thm)],[f4879,f4610,f4672]) ).

fof(f4881,plain,
    ( v2_setfam_1(sk0_0)
    | spl0_29 ),
    inference(resolution,[status(thm)],[f4597,f461]) ).

fof(f4882,plain,
    ( spl0_34
    | spl0_29 ),
    inference(split_clause,[status(thm)],[f4881,f4610,f4595]) ).

fof(f4883,plain,
    ( v3_struct_0(k5_waybel34(sk0_0))
    | ~ l1_altcat_1(k5_waybel34(sk0_0))
    | v3_struct_0(k4_waybel34(sk0_0))
    | ~ l1_altcat_1(k4_waybel34(sk0_0))
    | ~ l2_functor0(k7_waybel34(sk0_0),k5_waybel34(sk0_0),k4_waybel34(sk0_0))
    | spl0_42 ),
    inference(resolution,[status(thm)],[f4709,f291]) ).

fof(f4884,plain,
    ( spl0_23
    | ~ spl0_31
    | spl0_35
    | ~ spl0_32
    | ~ spl0_39
    | spl0_42 ),
    inference(split_clause,[status(thm)],[f4883,f4577,f4601,f4672,f4604,f4698,f4707]) ).

fof(f4890,plain,
    ( ~ v8_functor0(k6_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0))
    | v2_setfam_1(sk0_0)
    | spl0_41 ),
    inference(paramodulation,[status(thm)],[f595,f4706]) ).

fof(f4891,plain,
    ( ~ spl0_27
    | spl0_34
    | spl0_41 ),
    inference(split_clause,[status(thm)],[f4890,f4589,f4610,f4704]) ).

fof(f4908,plain,
    ( l1_altcat_1(k4_waybel34(sk0_0))
    | ~ spl0_22 ),
    inference(resolution,[status(thm)],[f4575,f324]) ).

fof(f4909,plain,
    ( $false
    | spl0_32
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4908,f4606]) ).

fof(f4910,plain,
    ( spl0_32
    | ~ spl0_22 ),
    inference(contradiction_clause,[status(thm)],[f4909]) ).

fof(f5508,plain,
    ( v2_setfam_1(sk0_0)
    | spl0_40 ),
    inference(resolution,[status(thm)],[f4703,f470]) ).

fof(f5509,plain,
    ( spl0_34
    | spl0_40 ),
    inference(split_clause,[status(thm)],[f5508,f4610,f4701]) ).

fof(f5510,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f626,f4614,f4681,f4686,f4690,f4711,f4715,f4772,f4830,f4832,f4834,f4838,f4842,f4844,f4848,f4859,f4862,f4865,f4877,f4880,f4882,f4884,f4891,f4910,f5509]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13  % Problem  : LAT361+1 : TPTP v8.1.2. Released v3.4.0.
% 0.05/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.34  % Computer : n019.cluster.edu
% 0.10/0.34  % Model    : x86_64 x86_64
% 0.10/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34  % Memory   : 8042.1875MB
% 0.10/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34  % CPULimit : 300
% 0.10/0.34  % WCLimit  : 300
% 0.10/0.34  % DateTime : Mon Apr 29 19:59:59 EDT 2024
% 0.10/0.34  % CPUTime  : 
% 0.10/0.35  % Drodi V3.6.0
% 24.74/3.54  % Refutation found
% 24.74/3.54  % SZS status Theorem for theBenchmark: Theorem is valid
% 24.74/3.54  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 25.50/3.61  % Elapsed time: 3.256414 seconds
% 25.50/3.61  % CPU time: 25.562791 seconds
% 25.50/3.61  % Total memory used: 233.218 MB
% 25.50/3.61  % Net memory used: 229.900 MB
%------------------------------------------------------------------------------