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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : TOP046+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n005.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 02:34:05 PM UTC 2026

% Result   : Theorem 7.57s 2.03s
% Output   : Refutation 10.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   40
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  283 (  60 unt;  18 def)
%            Number of atoms       : 1388 ( 123 equ)
%            Maximal formula atoms :   17 (   4 avg)
%            Number of connectives : 1972 ( 867   ~; 971   |;  83   &)
%                                         (  14 <=>;  37  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   25 (  23 usr;  11 prp; 0-3 aty)
%            Number of functors    :   22 (  22 usr;  13 con; 0-4 aty)
%            Number of variables   :  325 (   0 sgn 308   !;  17   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & l1_struct_0(X0) )
     => ! [X1] :
          ( ( ~ v3_struct_0(X1)
            & l1_struct_0(X1) )
         => ! [X2] :
              ( ( ~ v3_struct_0(X2)
                & l1_waybel_0(X2,X0) )
             => ! [X3] :
                  ( ( ~ v3_struct_0(X3)
                    & l1_waybel_0(X3,X1) )
                 => ( ( g1_orders_2(u1_struct_0(X2),u1_orders_2(X2)) = g1_orders_2(u1_struct_0(X3),u1_orders_2(X3))
                      & u1_waybel_0(X0,X2) = u1_waybel_0(X1,X3) )
                   => ! [X4] :
                        ( r1_waybel_0(X0,X2,X4)
                       => r1_waybel_0(X1,X3,X4) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_waybel33) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( ~ v3_struct_0(X0)
          & l1_struct_0(X0) )
       => ! [X1] :
            ( ( ~ v3_struct_0(X1)
              & l1_struct_0(X1) )
           => ! [X2] :
                ( ( ~ v3_struct_0(X2)
                  & l1_waybel_0(X2,X0) )
               => ! [X3] :
                    ( ( ~ v3_struct_0(X3)
                      & l1_waybel_0(X3,X1) )
                   => ( ( g1_orders_2(u1_struct_0(X2),u1_orders_2(X2)) = g1_orders_2(u1_struct_0(X3),u1_orders_2(X3))
                        & u1_waybel_0(X0,X2) = u1_waybel_0(X1,X3) )
                     => ! [X4] :
                          ( r1_waybel_0(X0,X2,X4)
                         => r1_waybel_0(X1,X3,X4) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f11,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & l1_struct_0(X0) )
     => ! [X1] :
          ( ( ~ v3_struct_0(X1)
            & l1_waybel_0(X1,X0) )
         => ! [X2] :
              ( r1_waybel_0(X0,X1,X2)
            <=> ? [X3] :
                  ( m1_subset_1(X3,u1_struct_0(X1))
                  & ! [X4] :
                      ( m1_subset_1(X4,u1_struct_0(X1))
                     => ( r1_orders_2(X1,X3,X4)
                       => r2_hidden(k3_waybel_0(X0,X1,X4),X2) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_waybel_0) ).

fof(f12,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & l1_struct_0(X0) )
     => ! [X1] :
          ( ( ~ v3_struct_0(X1)
            & l1_waybel_0(X1,X0) )
         => ! [X2] :
              ( m1_subset_1(X2,u1_struct_0(X1))
             => k3_waybel_0(X0,X1,X2) = k1_waybel_0(X1,X0,u1_waybel_0(X0,X1),X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_waybel_0) ).

fof(f21,axiom,
    ! [X0] :
      ( l1_orders_2(X0)
     => l1_struct_0(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).

fof(f23,axiom,
    ! [X0] :
      ( l1_struct_0(X0)
     => ! [X1] :
          ( l1_waybel_0(X1,X0)
         => l1_orders_2(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_waybel_0) ).

fof(f27,axiom,
    ! [X0] :
      ( l1_orders_2(X0)
     => m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_orders_2) ).

fof(f29,axiom,
    ! [X0,X1] :
      ( ( l1_struct_0(X0)
        & l1_waybel_0(X1,X0) )
     => ( v1_funct_1(u1_waybel_0(X0,X1))
        & v1_funct_2(u1_waybel_0(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
        & m2_relset_1(u1_waybel_0(X0,X1),u1_struct_0(X1),u1_struct_0(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_waybel_0) ).

fof(f43,axiom,
    ! [X0,X1] :
      ( m1_relset_1(X1,X0,X0)
     => ! [X2,X3] :
          ( g1_orders_2(X0,X1) = g1_orders_2(X2,X3)
         => ( X0 = X2
            & X1 = X3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g1_orders_2) ).

fof(f61,axiom,
    ! [X0,X1,X2,X3] :
      ( ( ~ v3_struct_0(X0)
        & l1_struct_0(X0)
        & ~ v3_struct_0(X1)
        & l1_struct_0(X1)
        & v1_funct_1(X2)
        & v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
        & m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
        & m1_subset_1(X3,u1_struct_0(X0)) )
     => k1_waybel_0(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_waybel_0) ).

fof(f63,axiom,
    ! [X0,X1,X2] :
      ( m2_relset_1(X2,X0,X1)
    <=> m1_relset_1(X2,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).

fof(f66,axiom,
    ! [X0] :
      ( l1_orders_2(X0)
     => ! [X1] :
          ( l1_orders_2(X1)
         => ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
           => ! [X2] :
                ( m1_subset_1(X2,u1_struct_0(X0))
               => ! [X3] :
                    ( m1_subset_1(X3,u1_struct_0(X0))
                   => ! [X4] :
                        ( m1_subset_1(X4,u1_struct_0(X1))
                       => ! [X5] :
                            ( m1_subset_1(X5,u1_struct_0(X1))
                           => ( ( X2 = X4
                                & X3 = X5 )
                             => ( ( r1_orders_2(X0,X2,X3)
                                 => r1_orders_2(X1,X4,X5) )
                                & ( r2_orders_2(X0,X2,X3)
                                 => r2_orders_2(X1,X4,X5) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_yellow_0) ).

fof(f81,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ~ r1_waybel_0(X1,X3,X4)
                      & r1_waybel_0(X0,X2,X4) )
                  & g1_orders_2(u1_struct_0(X2),u1_orders_2(X2)) = g1_orders_2(u1_struct_0(X3),u1_orders_2(X3))
                  & u1_waybel_0(X0,X2) = u1_waybel_0(X1,X3)
                  & ~ v3_struct_0(X3)
                  & l1_waybel_0(X3,X1) )
              & ~ v3_struct_0(X2)
              & l1_waybel_0(X2,X0) )
          & ~ v3_struct_0(X1)
          & l1_struct_0(X1) )
      & ~ v3_struct_0(X0)
      & l1_struct_0(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f82,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ~ r1_waybel_0(X1,X3,X4)
                      & r1_waybel_0(X0,X2,X4) )
                  & g1_orders_2(u1_struct_0(X2),u1_orders_2(X2)) = g1_orders_2(u1_struct_0(X3),u1_orders_2(X3))
                  & u1_waybel_0(X0,X2) = u1_waybel_0(X1,X3)
                  & ~ v3_struct_0(X3)
                  & l1_waybel_0(X3,X1) )
              & ~ v3_struct_0(X2)
              & l1_waybel_0(X2,X0) )
          & ~ v3_struct_0(X1)
          & l1_struct_0(X1) )
      & ~ v3_struct_0(X0)
      & l1_struct_0(X0) ),
    inference(flattening,[],[f81]) ).

fof(f93,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( r1_waybel_0(X0,X1,X2)
            <=> ? [X3] :
                  ( m1_subset_1(X3,u1_struct_0(X1))
                  & ! [X4] :
                      ( r2_hidden(k3_waybel_0(X0,X1,X4),X2)
                      | ~ r1_orders_2(X1,X3,X4)
                      | ~ m1_subset_1(X4,u1_struct_0(X1)) ) ) )
          | v3_struct_0(X1)
          | ~ l1_waybel_0(X1,X0) )
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f94,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( r1_waybel_0(X0,X1,X2)
            <=> ? [X3] :
                  ( m1_subset_1(X3,u1_struct_0(X1))
                  & ! [X4] :
                      ( r2_hidden(k3_waybel_0(X0,X1,X4),X2)
                      | ~ r1_orders_2(X1,X3,X4)
                      | ~ m1_subset_1(X4,u1_struct_0(X1)) ) ) )
          | v3_struct_0(X1)
          | ~ l1_waybel_0(X1,X0) )
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0) ),
    inference(flattening,[],[f93]) ).

fof(f95,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( k3_waybel_0(X0,X1,X2) = k1_waybel_0(X1,X0,u1_waybel_0(X0,X1),X2)
              | ~ m1_subset_1(X2,u1_struct_0(X1)) )
          | v3_struct_0(X1)
          | ~ l1_waybel_0(X1,X0) )
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f96,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( k3_waybel_0(X0,X1,X2) = k1_waybel_0(X1,X0,u1_waybel_0(X0,X1),X2)
              | ~ m1_subset_1(X2,u1_struct_0(X1)) )
          | v3_struct_0(X1)
          | ~ l1_waybel_0(X1,X0) )
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0) ),
    inference(flattening,[],[f95]) ).

fof(f104,plain,
    ! [X0] :
      ( l1_struct_0(X0)
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f105,plain,
    ! [X0] :
      ( ! [X1] :
          ( l1_orders_2(X1)
          | ~ l1_waybel_0(X1,X0) )
      | ~ l1_struct_0(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f107,plain,
    ! [X0] :
      ( m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( ( v1_funct_1(u1_waybel_0(X0,X1))
        & v1_funct_2(u1_waybel_0(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
        & m2_relset_1(u1_waybel_0(X0,X1),u1_struct_0(X1),u1_struct_0(X0)) )
      | ~ l1_struct_0(X0)
      | ~ l1_waybel_0(X1,X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( ( v1_funct_1(u1_waybel_0(X0,X1))
        & v1_funct_2(u1_waybel_0(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
        & m2_relset_1(u1_waybel_0(X0,X1),u1_struct_0(X1),u1_struct_0(X0)) )
      | ~ l1_struct_0(X0)
      | ~ l1_waybel_0(X1,X0) ),
    inference(flattening,[],[f108]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( ! [X2,X3] :
          ( ( X0 = X2
            & X1 = X3 )
          | g1_orders_2(X0,X1) != g1_orders_2(X2,X3) )
      | ~ m1_relset_1(X1,X0,X0) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f128,plain,
    ! [X0,X1,X2,X3] :
      ( k1_waybel_0(X0,X1,X2,X3) = k1_funct_1(X2,X3)
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0)
      | v3_struct_0(X1)
      | ~ l1_struct_0(X1)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ m1_subset_1(X3,u1_struct_0(X0)) ),
    inference(ennf_transformation,[],[f61]) ).

fof(f129,plain,
    ! [X0,X1,X2,X3] :
      ( k1_waybel_0(X0,X1,X2,X3) = k1_funct_1(X2,X3)
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0)
      | v3_struct_0(X1)
      | ~ l1_struct_0(X1)
      | ~ v1_funct_1(X2)
      | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ m1_subset_1(X3,u1_struct_0(X0)) ),
    inference(flattening,[],[f128]) ).

fof(f133,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ! [X5] :
                          ( ( ( r1_orders_2(X1,X4,X5)
                              | ~ r1_orders_2(X0,X2,X3) )
                            & ( r2_orders_2(X1,X4,X5)
                              | ~ r2_orders_2(X0,X2,X3) ) )
                          | X2 != X4
                          | X3 != X5
                          | ~ m1_subset_1(X5,u1_struct_0(X1)) )
                      | ~ m1_subset_1(X4,u1_struct_0(X1)) )
                  | ~ m1_subset_1(X3,u1_struct_0(X0)) )
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
          | ~ l1_orders_2(X1) )
      | ~ l1_orders_2(X0) ),
    inference(ennf_transformation,[],[f66]) ).

fof(f134,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ! [X5] :
                          ( ( ( r1_orders_2(X1,X4,X5)
                              | ~ r1_orders_2(X0,X2,X3) )
                            & ( r2_orders_2(X1,X4,X5)
                              | ~ r2_orders_2(X0,X2,X3) ) )
                          | X2 != X4
                          | X3 != X5
                          | ~ m1_subset_1(X5,u1_struct_0(X1)) )
                      | ~ m1_subset_1(X4,u1_struct_0(X1)) )
                  | ~ m1_subset_1(X3,u1_struct_0(X0)) )
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
          | ~ l1_orders_2(X1) )
      | ~ l1_orders_2(X0) ),
    inference(flattening,[],[f133]) ).

fof(f144,plain,
    ( ~ r1_waybel_0(sK1,sK3,sK4)
    & r1_waybel_0(sK0,sK2,sK4)
    & g1_orders_2(u1_struct_0(sK2),u1_orders_2(sK2)) = g1_orders_2(u1_struct_0(sK3),u1_orders_2(sK3))
    & u1_waybel_0(sK0,sK2) = u1_waybel_0(sK1,sK3)
    & ~ v3_struct_0(sK3)
    & l1_waybel_0(sK3,sK1)
    & ~ v3_struct_0(sK2)
    & l1_waybel_0(sK2,sK0)
    & ~ v3_struct_0(sK1)
    & l1_struct_0(sK1)
    & ~ v3_struct_0(sK0)
    & l1_struct_0(sK0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f82]) ).

fof(f145,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( r1_waybel_0(X0,X1,X2)
                | ! [X3] :
                    ( ~ m1_subset_1(X3,u1_struct_0(X1))
                    | ? [X4] :
                        ( ~ r2_hidden(k3_waybel_0(X0,X1,X4),X2)
                        & r1_orders_2(X1,X3,X4)
                        & m1_subset_1(X4,u1_struct_0(X1)) ) ) )
              & ( ? [X3] :
                    ( m1_subset_1(X3,u1_struct_0(X1))
                    & ! [X4] :
                        ( r2_hidden(k3_waybel_0(X0,X1,X4),X2)
                        | ~ r1_orders_2(X1,X3,X4)
                        | ~ m1_subset_1(X4,u1_struct_0(X1)) ) )
                | ~ r1_waybel_0(X0,X1,X2) ) )
          | v3_struct_0(X1)
          | ~ l1_waybel_0(X1,X0) )
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0) ),
    inference(nnf_transformation,[],[f94]) ).

fof(f146,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( r1_waybel_0(X0,X1,X2)
                | ! [X3] :
                    ( ~ m1_subset_1(X3,u1_struct_0(X1))
                    | ? [X4] :
                        ( ~ r2_hidden(k3_waybel_0(X0,X1,X4),X2)
                        & r1_orders_2(X1,X3,X4)
                        & m1_subset_1(X4,u1_struct_0(X1)) ) ) )
              & ( ? [X5] :
                    ( m1_subset_1(X5,u1_struct_0(X1))
                    & ! [X6] :
                        ( r2_hidden(k3_waybel_0(X0,X1,X6),X2)
                        | ~ r1_orders_2(X1,X5,X6)
                        | ~ m1_subset_1(X6,u1_struct_0(X1)) ) )
                | ~ r1_waybel_0(X0,X1,X2) ) )
          | v3_struct_0(X1)
          | ~ l1_waybel_0(X1,X0) )
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0) ),
    inference(rectify,[],[f145]) ).

fof(f147,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( r1_waybel_0(X0,X1,X2)
                | ! [X3] :
                    ( ~ m1_subset_1(X3,u1_struct_0(X1))
                    | ( ~ r2_hidden(k3_waybel_0(X0,X1,sK5(X0,X1,X2,X3)),X2)
                      & r1_orders_2(X1,X3,sK5(X0,X1,X2,X3))
                      & m1_subset_1(sK5(X0,X1,X2,X3),u1_struct_0(X1)) ) ) )
              & ( ( m1_subset_1(sK6(X0,X1,X2),u1_struct_0(X1))
                  & ! [X6] :
                      ( r2_hidden(k3_waybel_0(X0,X1,X6),X2)
                      | ~ r1_orders_2(X1,sK6(X0,X1,X2),X6)
                      | ~ m1_subset_1(X6,u1_struct_0(X1)) ) )
                | ~ r1_waybel_0(X0,X1,X2) ) )
          | v3_struct_0(X1)
          | ~ l1_waybel_0(X1,X0) )
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X4,sK5(X0,X1,X2,X3)),skolemize(X5,sK6(X0,X1,X2))],[f146]) ).

fof(f170,plain,
    ! [X0,X1,X2] :
      ( ( m2_relset_1(X2,X0,X1)
        | ~ m1_relset_1(X2,X0,X1) )
      & ( m1_relset_1(X2,X0,X1)
        | ~ m2_relset_1(X2,X0,X1) ) ),
    inference(nnf_transformation,[],[f63]) ).

fof(f171,plain,
    l1_struct_0(sK0),
    inference(cnf_transformation,[],[f144]) ).

fof(f172,plain,
    ~ v3_struct_0(sK0),
    inference(cnf_transformation,[],[f144]) ).

fof(f173,plain,
    l1_struct_0(sK1),
    inference(cnf_transformation,[],[f144]) ).

fof(f174,plain,
    ~ v3_struct_0(sK1),
    inference(cnf_transformation,[],[f144]) ).

fof(f175,plain,
    l1_waybel_0(sK2,sK0),
    inference(cnf_transformation,[],[f144]) ).

fof(f176,plain,
    ~ v3_struct_0(sK2),
    inference(cnf_transformation,[],[f144]) ).

fof(f177,plain,
    l1_waybel_0(sK3,sK1),
    inference(cnf_transformation,[],[f144]) ).

fof(f178,plain,
    ~ v3_struct_0(sK3),
    inference(cnf_transformation,[],[f144]) ).

fof(f179,plain,
    u1_waybel_0(sK0,sK2) = u1_waybel_0(sK1,sK3),
    inference(cnf_transformation,[],[f144]) ).

fof(f180,plain,
    g1_orders_2(u1_struct_0(sK2),u1_orders_2(sK2)) = g1_orders_2(u1_struct_0(sK3),u1_orders_2(sK3)),
    inference(cnf_transformation,[],[f144]) ).

fof(f181,plain,
    r1_waybel_0(sK0,sK2,sK4),
    inference(cnf_transformation,[],[f144]) ).

fof(f182,plain,
    ~ r1_waybel_0(sK1,sK3,sK4),
    inference(cnf_transformation,[],[f144]) ).

fof(f192,plain,
    ! [X2,X0,X1,X6] :
      ( ~ r1_orders_2(X1,sK6(X0,X1,X2),X6)
      | r2_hidden(k3_waybel_0(X0,X1,X6),X2)
      | ~ m1_subset_1(X6,u1_struct_0(X1))
      | ~ r1_waybel_0(X0,X1,X2)
      | v3_struct_0(X1)
      | ~ l1_waybel_0(X1,X0)
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f193,plain,
    ! [X2,X0,X1] :
      ( m1_subset_1(sK6(X0,X1,X2),u1_struct_0(X1))
      | ~ r1_waybel_0(X0,X1,X2)
      | v3_struct_0(X1)
      | ~ l1_waybel_0(X1,X0)
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f194,plain,
    ! [X2,X3,X0,X1] :
      ( m1_subset_1(sK5(X0,X1,X2,X3),u1_struct_0(X1))
      | ~ m1_subset_1(X3,u1_struct_0(X1))
      | r1_waybel_0(X0,X1,X2)
      | v3_struct_0(X1)
      | ~ l1_waybel_0(X1,X0)
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f195,plain,
    ! [X2,X3,X0,X1] :
      ( r1_orders_2(X1,X3,sK5(X0,X1,X2,X3))
      | ~ m1_subset_1(X3,u1_struct_0(X1))
      | r1_waybel_0(X0,X1,X2)
      | v3_struct_0(X1)
      | ~ l1_waybel_0(X1,X0)
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f196,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r2_hidden(k3_waybel_0(X0,X1,sK5(X0,X1,X2,X3)),X2)
      | ~ m1_subset_1(X3,u1_struct_0(X1))
      | r1_waybel_0(X0,X1,X2)
      | v3_struct_0(X1)
      | ~ l1_waybel_0(X1,X0)
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f197,plain,
    ! [X2,X0,X1] :
      ( ~ m1_subset_1(X2,u1_struct_0(X1))
      | k3_waybel_0(X0,X1,X2) = k1_waybel_0(X1,X0,u1_waybel_0(X0,X1),X2)
      | v3_struct_0(X1)
      | ~ l1_waybel_0(X1,X0)
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f203,plain,
    ! [X0] :
      ( ~ l1_orders_2(X0)
      | l1_struct_0(X0) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f204,plain,
    ! [X0,X1] :
      ( ~ l1_waybel_0(X1,X0)
      | l1_orders_2(X1)
      | ~ l1_struct_0(X0) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f206,plain,
    ! [X0] :
      ( m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f207,plain,
    ! [X0,X1] :
      ( m2_relset_1(u1_waybel_0(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
      | ~ l1_struct_0(X0)
      | ~ l1_waybel_0(X1,X0) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f208,plain,
    ! [X0,X1] :
      ( v1_funct_2(u1_waybel_0(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
      | ~ l1_struct_0(X0)
      | ~ l1_waybel_0(X1,X0) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f209,plain,
    ! [X0,X1] :
      ( v1_funct_1(u1_waybel_0(X0,X1))
      | ~ l1_struct_0(X0)
      | ~ l1_waybel_0(X1,X0) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f229,plain,
    ! [X2,X3,X0,X1] :
      ( g1_orders_2(X0,X1) != g1_orders_2(X2,X3)
      | X0 = X2
      | ~ m1_relset_1(X1,X0,X0) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f267,plain,
    ! [X2,X3,X0,X1] :
      ( ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0)
      | v3_struct_0(X1)
      | ~ l1_struct_0(X1)
      | ~ v1_funct_1(X2)
      | k1_waybel_0(X0,X1,X2,X3) = k1_funct_1(X2,X3)
      | ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
      | ~ m1_subset_1(X3,u1_struct_0(X0)) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f269,plain,
    ! [X2,X0,X1] :
      ( ~ m2_relset_1(X2,X0,X1)
      | m1_relset_1(X2,X0,X1) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f274,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( r1_orders_2(X1,X4,X5)
      | ~ r1_orders_2(X0,X2,X3)
      | X2 != X4
      | X3 != X5
      | ~ m1_subset_1(X5,u1_struct_0(X1))
      | ~ m1_subset_1(X4,u1_struct_0(X1))
      | ~ m1_subset_1(X3,u1_struct_0(X0))
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
      | ~ l1_orders_2(X1)
      | ~ l1_orders_2(X0) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f282,plain,
    ! [X3,X0,X1,X4,X5] :
      ( r1_orders_2(X1,X4,X5)
      | ~ r1_orders_2(X0,X4,X3)
      | X3 != X5
      | ~ m1_subset_1(X5,u1_struct_0(X1))
      | ~ m1_subset_1(X4,u1_struct_0(X1))
      | ~ m1_subset_1(X3,u1_struct_0(X0))
      | ~ m1_subset_1(X4,u1_struct_0(X0))
      | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
      | ~ l1_orders_2(X1)
      | ~ l1_orders_2(X0) ),
    inference(equality_resolution,[],[f274]) ).

fof(f283,plain,
    ! [X0,X1,X4,X5] :
      ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
      | ~ r1_orders_2(X0,X4,X5)
      | ~ m1_subset_1(X5,u1_struct_0(X1))
      | ~ m1_subset_1(X4,u1_struct_0(X1))
      | ~ m1_subset_1(X5,u1_struct_0(X0))
      | ~ m1_subset_1(X4,u1_struct_0(X0))
      | r1_orders_2(X1,X4,X5)
      | ~ l1_orders_2(X1)
      | ~ l1_orders_2(X0) ),
    inference(equality_resolution,[],[f282]) ).

fof(f286,definition,
    sF29 = u1_struct_0(sK2),
    introduced(definition,[new_symbols(definition,[sF29])],[function_definition]) ).

fof(f287,plain,
    u1_struct_0(sK2) = sF29,
    inference(reorient_equations,[],[f286]) ).

fof(f288,definition,
    sF30 = u1_orders_2(sK2),
    introduced(definition,[new_symbols(definition,[sF30])],[function_definition]) ).

fof(f289,plain,
    u1_orders_2(sK2) = sF30,
    inference(reorient_equations,[],[f288]) ).

fof(f290,definition,
    sF31 = g1_orders_2(sF29,sF30),
    introduced(definition,[new_symbols(definition,[sF31])],[function_definition]) ).

fof(f291,plain,
    g1_orders_2(sF29,sF30) = sF31,
    inference(reorient_equations,[],[f290]) ).

fof(f292,definition,
    sF32 = u1_struct_0(sK3),
    introduced(definition,[new_symbols(definition,[sF32])],[function_definition]) ).

fof(f293,plain,
    u1_struct_0(sK3) = sF32,
    inference(reorient_equations,[],[f292]) ).

fof(f294,definition,
    sF33 = u1_orders_2(sK3),
    introduced(definition,[new_symbols(definition,[sF33])],[function_definition]) ).

fof(f295,plain,
    u1_orders_2(sK3) = sF33,
    inference(reorient_equations,[],[f294]) ).

fof(f296,definition,
    sF34 = g1_orders_2(sF32,sF33),
    introduced(definition,[new_symbols(definition,[sF34])],[function_definition]) ).

fof(f297,plain,
    g1_orders_2(sF32,sF33) = sF34,
    inference(reorient_equations,[],[f296]) ).

fof(f298,plain,
    sF31 = sF34,
    inference(definition_folding,[],[f180,f297,f295,f293,f291,f289,f287]) ).

fof(f299,definition,
    sF35 = u1_waybel_0(sK0,sK2),
    introduced(definition,[new_symbols(definition,[sF35])],[function_definition]) ).

fof(f300,plain,
    u1_waybel_0(sK0,sK2) = sF35,
    inference(reorient_equations,[],[f299]) ).

fof(f301,definition,
    sF36 = u1_waybel_0(sK1,sK3),
    introduced(definition,[new_symbols(definition,[sF36])],[function_definition]) ).

fof(f302,plain,
    u1_waybel_0(sK1,sK3) = sF36,
    inference(reorient_equations,[],[f301]) ).

fof(f303,plain,
    sF35 = sF36,
    inference(definition_folding,[],[f179,f302,f300]) ).

fof(f304,plain,
    sF31 = g1_orders_2(sF32,sF33),
    inference(forward_demodulation,[],[f297,f298]) ).

fof(f305,plain,
    u1_waybel_0(sK1,sK3) = sF35,
    inference(forward_demodulation,[],[f302,f303]) ).

fof(f306,plain,
    ( v1_funct_2(sF35,u1_struct_0(sK2),u1_struct_0(sK0))
    | ~ l1_struct_0(sK0)
    | ~ l1_waybel_0(sK2,sK0) ),
    inference(superposition,[],[f208,f300]) ).

fof(f307,plain,
    ( v1_funct_2(sF35,u1_struct_0(sK3),u1_struct_0(sK1))
    | ~ l1_struct_0(sK1)
    | ~ l1_waybel_0(sK3,sK1) ),
    inference(superposition,[],[f208,f305]) ).

fof(f311,definition,
    ( spl37_1
  <=> l1_struct_0(sK3) ),
    introduced(definition,[new_symbols(definition,[spl37_1])],[avatar_definition]) ).

fof(f312,plain,
    ( l1_struct_0(sK3)
    | ~ spl37_1 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f313,plain,
    ( ~ l1_struct_0(sK3)
    | spl37_1 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f318,plain,
    ( v1_funct_2(sF35,u1_struct_0(sK3),u1_struct_0(sK1))
    | ~ l1_waybel_0(sK3,sK1) ),
    inference(forward_subsumption_resolution,[],[f307,f173]) ).

fof(f319,plain,
    ( v1_funct_2(sF35,u1_struct_0(sK2),u1_struct_0(sK0))
    | ~ l1_waybel_0(sK2,sK0) ),
    inference(forward_subsumption_resolution,[],[f306,f171]) ).

fof(f320,plain,
    v1_funct_2(sF35,u1_struct_0(sK3),u1_struct_0(sK1)),
    inference(forward_subsumption_resolution,[],[f318,f177]) ).

fof(f321,plain,
    v1_funct_2(sF35,u1_struct_0(sK2),u1_struct_0(sK0)),
    inference(forward_subsumption_resolution,[],[f319,f175]) ).

fof(f322,plain,
    v1_funct_2(sF35,sF32,u1_struct_0(sK1)),
    inference(forward_demodulation,[],[f320,f293]) ).

fof(f323,plain,
    v1_funct_2(sF35,sF29,u1_struct_0(sK0)),
    inference(forward_demodulation,[],[f321,f287]) ).

fof(f327,definition,
    ( spl37_3
  <=> l1_struct_0(sK2) ),
    introduced(definition,[new_symbols(definition,[spl37_3])],[avatar_definition]) ).

fof(f328,plain,
    ( l1_struct_0(sK2)
    | ~ spl37_3 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f329,plain,
    ( ~ l1_struct_0(sK2)
    | spl37_3 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f334,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X0,sF32)
      | k3_waybel_0(X1,sK3,X0) = k1_waybel_0(sK3,X1,u1_waybel_0(X1,sK3),X0)
      | v3_struct_0(sK3)
      | ~ l1_waybel_0(sK3,X1)
      | v3_struct_0(X1)
      | ~ l1_struct_0(X1) ),
    inference(superposition,[],[f197,f293]) ).

fof(f335,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X0,sF29)
      | k3_waybel_0(X1,sK2,X0) = k1_waybel_0(sK2,X1,u1_waybel_0(X1,sK2),X0)
      | v3_struct_0(sK2)
      | ~ l1_waybel_0(sK2,X1)
      | v3_struct_0(X1)
      | ~ l1_struct_0(X1) ),
    inference(superposition,[],[f197,f287]) ).

fof(f336,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X0,sF29)
      | k3_waybel_0(X1,sK2,X0) = k1_waybel_0(sK2,X1,u1_waybel_0(X1,sK2),X0)
      | ~ l1_waybel_0(sK2,X1)
      | v3_struct_0(X1)
      | ~ l1_struct_0(X1) ),
    inference(forward_subsumption_resolution,[],[f335,f176]) ).

fof(f337,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X0,sF32)
      | k3_waybel_0(X1,sK3,X0) = k1_waybel_0(sK3,X1,u1_waybel_0(X1,sK3),X0)
      | ~ l1_waybel_0(sK3,X1)
      | v3_struct_0(X1)
      | ~ l1_struct_0(X1) ),
    inference(forward_subsumption_resolution,[],[f334,f178]) ).

fof(f345,plain,
    ! [X2,X0,X1] :
      ( m1_subset_1(sK5(X0,sK3,X1,X2),sF32)
      | ~ m1_subset_1(X2,sF32)
      | r1_waybel_0(X0,sK3,X1)
      | v3_struct_0(sK3)
      | ~ l1_waybel_0(sK3,X0)
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0) ),
    inference(superposition,[],[f194,f293]) ).

fof(f349,plain,
    ! [X2,X0,X1] :
      ( m1_subset_1(sK5(X0,sK3,X1,X2),sF32)
      | ~ m1_subset_1(X2,sF32)
      | r1_waybel_0(X0,sK3,X1)
      | ~ l1_waybel_0(sK3,X0)
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0) ),
    inference(forward_subsumption_resolution,[],[f345,f178]) ).

fof(f357,plain,
    ! [X2,X0,X1] :
      ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK2),sF30)
      | ~ r1_orders_2(X0,X1,X2)
      | ~ m1_subset_1(X2,u1_struct_0(sK2))
      | ~ m1_subset_1(X1,u1_struct_0(sK2))
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | r1_orders_2(sK2,X1,X2)
      | ~ l1_orders_2(sK2)
      | ~ l1_orders_2(X0) ),
    inference(superposition,[],[f283,f289]) ).

fof(f360,plain,
    ! [X2,X0,X1] :
      ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(sF29,sF30)
      | ~ r1_orders_2(X0,X1,X2)
      | ~ m1_subset_1(X2,u1_struct_0(sK2))
      | ~ m1_subset_1(X1,u1_struct_0(sK2))
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | r1_orders_2(sK2,X1,X2)
      | ~ l1_orders_2(sK2)
      | ~ l1_orders_2(X0) ),
    inference(forward_demodulation,[],[f357,f287]) ).

fof(f368,plain,
    ! [X2,X0,X1] :
      ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != sF31
      | ~ r1_orders_2(X0,X1,X2)
      | ~ m1_subset_1(X2,u1_struct_0(sK2))
      | ~ m1_subset_1(X1,u1_struct_0(sK2))
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | r1_orders_2(sK2,X1,X2)
      | ~ l1_orders_2(sK2)
      | ~ l1_orders_2(X0) ),
    inference(forward_demodulation,[],[f360,f291]) ).

fof(f376,plain,
    ! [X2,X0,X1] :
      ( ~ m1_subset_1(X2,sF29)
      | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != sF31
      | ~ r1_orders_2(X0,X1,X2)
      | ~ m1_subset_1(X1,u1_struct_0(sK2))
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | r1_orders_2(sK2,X1,X2)
      | ~ l1_orders_2(sK2)
      | ~ l1_orders_2(X0) ),
    inference(forward_demodulation,[],[f368,f287]) ).

fof(f379,definition,
    ( spl37_5
  <=> l1_orders_2(sK2) ),
    introduced(definition,[new_symbols(definition,[spl37_5])],[avatar_definition]) ).

fof(f380,plain,
    ( l1_orders_2(sK2)
    | ~ spl37_5 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f381,plain,
    ( ~ l1_orders_2(sK2)
    | spl37_5 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f383,definition,
    ( spl37_6
  <=> ! [X2,X0,X1] :
        ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != sF31
        | ~ l1_orders_2(X0)
        | r1_orders_2(sK2,X1,X2)
        | ~ m1_subset_1(X1,u1_struct_0(X0))
        | ~ m1_subset_1(X2,u1_struct_0(X0))
        | ~ m1_subset_1(X1,sF29)
        | ~ m1_subset_1(X2,sF29)
        | ~ r1_orders_2(X0,X1,X2) ) ),
    introduced(definition,[new_symbols(definition,[spl37_6])],[avatar_definition]) ).

fof(f384,plain,
    ( ! [X2,X0,X1] :
        ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != sF31
        | ~ l1_orders_2(X0)
        | r1_orders_2(sK2,X1,X2)
        | ~ m1_subset_1(X1,u1_struct_0(X0))
        | ~ m1_subset_1(X2,u1_struct_0(X0))
        | ~ m1_subset_1(X1,sF29)
        | ~ m1_subset_1(X2,sF29)
        | ~ r1_orders_2(X0,X1,X2) )
    | ~ spl37_6 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f387,definition,
    ( spl37_7
  <=> l1_orders_2(sK3) ),
    introduced(definition,[new_symbols(definition,[spl37_7])],[avatar_definition]) ).

fof(f388,plain,
    ( l1_orders_2(sK3)
    | ~ spl37_7 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f389,plain,
    ( ~ l1_orders_2(sK3)
    | spl37_7 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f404,plain,
    ! [X2,X0,X1] :
      ( ~ m1_subset_1(X1,sF29)
      | ~ m1_subset_1(X2,sF29)
      | g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != sF31
      | ~ r1_orders_2(X0,X1,X2)
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | r1_orders_2(sK2,X1,X2)
      | ~ l1_orders_2(sK2)
      | ~ l1_orders_2(X0) ),
    inference(forward_demodulation,[],[f376,f287]) ).

fof(f408,plain,
    ( ~ spl37_5
    | spl37_6 ),
    inference(avatar_split_clause,[],[f404,f383,f379]) ).

fof(f428,plain,
    ( l1_orders_2(sK3)
    | ~ l1_struct_0(sK1) ),
    inference(resolution,[],[f204,f177]) ).

fof(f429,plain,
    ( ~ l1_struct_0(sK1)
    | spl37_7 ),
    inference(forward_subsumption_resolution,[],[f428,f389]) ).

fof(f430,plain,
    ( $false
    | spl37_7 ),
    inference(forward_subsumption_resolution,[],[f429,f173]) ).

fof(f431,plain,
    spl37_7,
    inference(avatar_contradiction_clause,[],[f430]) ).

fof(f458,plain,
    ( l1_orders_2(sK2)
    | ~ l1_struct_0(sK0) ),
    inference(resolution,[],[f175,f204]) ).

fof(f459,plain,
    ( ~ l1_struct_0(sK0)
    | spl37_5 ),
    inference(forward_subsumption_resolution,[],[f458,f381]) ).

fof(f460,plain,
    ( $false
    | spl37_5 ),
    inference(forward_subsumption_resolution,[],[f459,f171]) ).

fof(f461,plain,
    spl37_5,
    inference(avatar_contradiction_clause,[],[f460]) ).

fof(f480,plain,
    ! [X0,X1] :
      ( m1_subset_1(sK6(X0,sK2,X1),sF29)
      | ~ r1_waybel_0(X0,sK2,X1)
      | v3_struct_0(sK2)
      | ~ l1_waybel_0(sK2,X0)
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0) ),
    inference(superposition,[],[f193,f287]) ).

fof(f482,plain,
    ! [X0,X1] :
      ( m1_subset_1(sK6(X0,sK2,X1),sF29)
      | ~ r1_waybel_0(X0,sK2,X1)
      | ~ l1_waybel_0(sK2,X0)
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0) ),
    inference(forward_subsumption_resolution,[],[f480,f176]) ).

fof(f505,plain,
    ( ! [X0,X1] :
        ( sF31 != g1_orders_2(sF32,u1_orders_2(sK3))
        | ~ l1_orders_2(sK3)
        | r1_orders_2(sK2,X0,X1)
        | ~ m1_subset_1(X0,sF32)
        | ~ m1_subset_1(X1,sF32)
        | ~ m1_subset_1(X0,sF29)
        | ~ m1_subset_1(X1,sF29)
        | ~ r1_orders_2(sK3,X0,X1) )
    | ~ spl37_6 ),
    inference(superposition,[],[f384,f293]) ).

fof(f511,plain,
    ( ! [X0,X1] :
        ( sF31 != g1_orders_2(sF32,u1_orders_2(sK3))
        | r1_orders_2(sK2,X0,X1)
        | ~ m1_subset_1(X0,sF32)
        | ~ m1_subset_1(X1,sF32)
        | ~ m1_subset_1(X0,sF29)
        | ~ m1_subset_1(X1,sF29)
        | ~ r1_orders_2(sK3,X0,X1) )
    | ~ spl37_6
    | ~ spl37_7 ),
    inference(forward_subsumption_resolution,[],[f505,f388]) ).

fof(f513,plain,
    ( ! [X0,X1] :
        ( sF31 != g1_orders_2(sF32,sF33)
        | r1_orders_2(sK2,X0,X1)
        | ~ m1_subset_1(X0,sF32)
        | ~ m1_subset_1(X1,sF32)
        | ~ m1_subset_1(X0,sF29)
        | ~ m1_subset_1(X1,sF29)
        | ~ r1_orders_2(sK3,X0,X1) )
    | ~ spl37_6
    | ~ spl37_7 ),
    inference(forward_demodulation,[],[f511,f295]) ).

fof(f515,plain,
    ( ! [X0,X1] :
        ( ~ r1_orders_2(sK3,X0,X1)
        | ~ m1_subset_1(X0,sF32)
        | ~ m1_subset_1(X1,sF32)
        | ~ m1_subset_1(X0,sF29)
        | ~ m1_subset_1(X1,sF29)
        | r1_orders_2(sK2,X0,X1) )
    | ~ spl37_6
    | ~ spl37_7 ),
    inference(forward_subsumption_resolution,[],[f513,f304]) ).

fof(f518,plain,
    ( m2_relset_1(sF35,u1_struct_0(sK2),u1_struct_0(sK0))
    | ~ l1_struct_0(sK0)
    | ~ l1_waybel_0(sK2,sK0) ),
    inference(superposition,[],[f207,f300]) ).

fof(f519,plain,
    ( m2_relset_1(sF35,u1_struct_0(sK3),u1_struct_0(sK1))
    | ~ l1_struct_0(sK1)
    | ~ l1_waybel_0(sK3,sK1) ),
    inference(superposition,[],[f207,f305]) ).

fof(f524,plain,
    ( m2_relset_1(sF35,u1_struct_0(sK3),u1_struct_0(sK1))
    | ~ l1_waybel_0(sK3,sK1) ),
    inference(forward_subsumption_resolution,[],[f519,f173]) ).

fof(f525,plain,
    ( m2_relset_1(sF35,u1_struct_0(sK2),u1_struct_0(sK0))
    | ~ l1_waybel_0(sK2,sK0) ),
    inference(forward_subsumption_resolution,[],[f518,f171]) ).

fof(f526,plain,
    m2_relset_1(sF35,u1_struct_0(sK3),u1_struct_0(sK1)),
    inference(forward_subsumption_resolution,[],[f524,f177]) ).

fof(f527,plain,
    m2_relset_1(sF35,u1_struct_0(sK2),u1_struct_0(sK0)),
    inference(forward_subsumption_resolution,[],[f525,f175]) ).

fof(f528,plain,
    m2_relset_1(sF35,sF32,u1_struct_0(sK1)),
    inference(forward_demodulation,[],[f526,f293]) ).

fof(f529,plain,
    m2_relset_1(sF35,sF29,u1_struct_0(sK0)),
    inference(forward_demodulation,[],[f527,f287]) ).

fof(f531,plain,
    ( v1_funct_1(sF35)
    | ~ l1_struct_0(sK1)
    | ~ l1_waybel_0(sK3,sK1) ),
    inference(superposition,[],[f209,f305]) ).

fof(f532,plain,
    ( v1_funct_1(sF35)
    | ~ l1_waybel_0(sK3,sK1) ),
    inference(forward_subsumption_resolution,[],[f531,f173]) ).

fof(f534,plain,
    v1_funct_1(sF35),
    inference(forward_subsumption_resolution,[],[f532,f177]) ).

fof(f576,plain,
    ! [X2,X0,X1] :
      ( ~ v1_funct_2(X0,sF32,u1_struct_0(X1))
      | v3_struct_0(sK3)
      | ~ l1_struct_0(sK3)
      | v3_struct_0(X1)
      | ~ l1_struct_0(X1)
      | ~ v1_funct_1(X0)
      | k1_waybel_0(sK3,X1,X0,X2) = k1_funct_1(X0,X2)
      | ~ m1_relset_1(X0,sF32,u1_struct_0(X1))
      | ~ m1_subset_1(X2,sF32) ),
    inference(superposition,[],[f267,f293]) ).

fof(f577,plain,
    ! [X2,X0,X1] :
      ( ~ v1_funct_2(X0,sF29,u1_struct_0(X1))
      | v3_struct_0(sK2)
      | ~ l1_struct_0(sK2)
      | v3_struct_0(X1)
      | ~ l1_struct_0(X1)
      | ~ v1_funct_1(X0)
      | k1_funct_1(X0,X2) = k1_waybel_0(sK2,X1,X0,X2)
      | ~ m1_relset_1(X0,sF29,u1_struct_0(X1))
      | ~ m1_subset_1(X2,sF29) ),
    inference(superposition,[],[f267,f287]) ).

fof(f603,plain,
    ( ! [X2,X0,X1] :
        ( ~ m1_subset_1(X0,sF32)
        | ~ m1_subset_1(sK5(X1,sK3,X2,X0),sF32)
        | ~ m1_subset_1(X0,sF29)
        | ~ m1_subset_1(sK5(X1,sK3,X2,X0),sF29)
        | r1_orders_2(sK2,X0,sK5(X1,sK3,X2,X0))
        | ~ m1_subset_1(X0,u1_struct_0(sK3))
        | r1_waybel_0(X1,sK3,X2)
        | v3_struct_0(sK3)
        | ~ l1_waybel_0(sK3,X1)
        | v3_struct_0(X1)
        | ~ l1_struct_0(X1) )
    | ~ spl37_6
    | ~ spl37_7 ),
    inference(resolution,[],[f515,f195]) ).

fof(f605,plain,
    ( ! [X2,X0,X1] :
        ( ~ m1_subset_1(X0,sF32)
        | ~ m1_subset_1(X0,sF29)
        | ~ m1_subset_1(sK5(X1,sK3,X2,X0),sF29)
        | r1_orders_2(sK2,X0,sK5(X1,sK3,X2,X0))
        | ~ m1_subset_1(X0,u1_struct_0(sK3))
        | r1_waybel_0(X1,sK3,X2)
        | v3_struct_0(sK3)
        | ~ l1_waybel_0(sK3,X1)
        | v3_struct_0(X1)
        | ~ l1_struct_0(X1) )
    | ~ spl37_6
    | ~ spl37_7 ),
    inference(forward_subsumption_resolution,[],[f603,f349]) ).

fof(f607,plain,
    ( ! [X2,X0,X1] :
        ( ~ m1_subset_1(X0,sF32)
        | ~ m1_subset_1(X0,sF29)
        | ~ m1_subset_1(sK5(X1,sK3,X2,X0),sF29)
        | r1_orders_2(sK2,X0,sK5(X1,sK3,X2,X0))
        | ~ m1_subset_1(X0,u1_struct_0(sK3))
        | r1_waybel_0(X1,sK3,X2)
        | ~ l1_waybel_0(sK3,X1)
        | v3_struct_0(X1)
        | ~ l1_struct_0(X1) )
    | ~ spl37_6
    | ~ spl37_7 ),
    inference(forward_subsumption_resolution,[],[f605,f178]) ).

fof(f608,plain,
    ( ! [X2,X0,X1] :
        ( ~ m1_subset_1(X0,sF32)
        | ~ m1_subset_1(X0,sF32)
        | ~ m1_subset_1(X0,sF29)
        | ~ m1_subset_1(sK5(X1,sK3,X2,X0),sF29)
        | r1_orders_2(sK2,X0,sK5(X1,sK3,X2,X0))
        | r1_waybel_0(X1,sK3,X2)
        | ~ l1_waybel_0(sK3,X1)
        | v3_struct_0(X1)
        | ~ l1_struct_0(X1) )
    | ~ spl37_6
    | ~ spl37_7 ),
    inference(forward_demodulation,[],[f607,f293]) ).

fof(f609,plain,
    ( ! [X2,X0,X1] :
        ( r1_orders_2(sK2,X0,sK5(X1,sK3,X2,X0))
        | ~ m1_subset_1(X0,sF29)
        | ~ m1_subset_1(sK5(X1,sK3,X2,X0),sF29)
        | ~ m1_subset_1(X0,sF32)
        | r1_waybel_0(X1,sK3,X2)
        | ~ l1_waybel_0(sK3,X1)
        | v3_struct_0(X1)
        | ~ l1_struct_0(X1) )
    | ~ spl37_6
    | ~ spl37_7 ),
    inference(duplicate_literal_removal,[],[f608]) ).

fof(f611,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ m1_subset_1(sK6(X0,sK2,X1),sF29)
        | ~ m1_subset_1(sK5(X2,sK3,X3,sK6(X0,sK2,X1)),sF29)
        | ~ m1_subset_1(sK6(X0,sK2,X1),sF32)
        | r1_waybel_0(X2,sK3,X3)
        | ~ l1_waybel_0(sK3,X2)
        | v3_struct_0(X2)
        | ~ l1_struct_0(X2)
        | r2_hidden(k3_waybel_0(X0,sK2,sK5(X2,sK3,X3,sK6(X0,sK2,X1))),X1)
        | ~ m1_subset_1(sK5(X2,sK3,X3,sK6(X0,sK2,X1)),u1_struct_0(sK2))
        | ~ r1_waybel_0(X0,sK2,X1)
        | v3_struct_0(sK2)
        | ~ l1_waybel_0(sK2,X0)
        | v3_struct_0(X0)
        | ~ l1_struct_0(X0) )
    | ~ spl37_6
    | ~ spl37_7 ),
    inference(resolution,[],[f609,f192]) ).

fof(f613,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ m1_subset_1(sK6(X0,sK2,X1),sF29)
        | ~ m1_subset_1(sK5(X2,sK3,X3,sK6(X0,sK2,X1)),sF29)
        | ~ m1_subset_1(sK6(X0,sK2,X1),sF32)
        | r1_waybel_0(X2,sK3,X3)
        | ~ l1_waybel_0(sK3,X2)
        | v3_struct_0(X2)
        | ~ l1_struct_0(X2)
        | r2_hidden(k3_waybel_0(X0,sK2,sK5(X2,sK3,X3,sK6(X0,sK2,X1))),X1)
        | ~ m1_subset_1(sK5(X2,sK3,X3,sK6(X0,sK2,X1)),u1_struct_0(sK2))
        | ~ r1_waybel_0(X0,sK2,X1)
        | ~ l1_waybel_0(sK2,X0)
        | v3_struct_0(X0)
        | ~ l1_struct_0(X0) )
    | ~ spl37_6
    | ~ spl37_7 ),
    inference(forward_subsumption_resolution,[],[f611,f176]) ).

fof(f615,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ m1_subset_1(sK5(X2,sK3,X3,sK6(X0,sK2,X1)),sF29)
        | ~ m1_subset_1(sK6(X0,sK2,X1),sF32)
        | r1_waybel_0(X2,sK3,X3)
        | ~ l1_waybel_0(sK3,X2)
        | v3_struct_0(X2)
        | ~ l1_struct_0(X2)
        | r2_hidden(k3_waybel_0(X0,sK2,sK5(X2,sK3,X3,sK6(X0,sK2,X1))),X1)
        | ~ m1_subset_1(sK5(X2,sK3,X3,sK6(X0,sK2,X1)),u1_struct_0(sK2))
        | ~ r1_waybel_0(X0,sK2,X1)
        | ~ l1_waybel_0(sK2,X0)
        | v3_struct_0(X0)
        | ~ l1_struct_0(X0) )
    | ~ spl37_6
    | ~ spl37_7 ),
    inference(forward_subsumption_resolution,[],[f613,f482]) ).

fof(f616,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ m1_subset_1(sK5(X2,sK3,X3,sK6(X0,sK2,X1)),sF29)
        | ~ m1_subset_1(sK5(X2,sK3,X3,sK6(X0,sK2,X1)),sF29)
        | ~ m1_subset_1(sK6(X0,sK2,X1),sF32)
        | r1_waybel_0(X2,sK3,X3)
        | ~ l1_waybel_0(sK3,X2)
        | v3_struct_0(X2)
        | ~ l1_struct_0(X2)
        | r2_hidden(k3_waybel_0(X0,sK2,sK5(X2,sK3,X3,sK6(X0,sK2,X1))),X1)
        | ~ r1_waybel_0(X0,sK2,X1)
        | ~ l1_waybel_0(sK2,X0)
        | v3_struct_0(X0)
        | ~ l1_struct_0(X0) )
    | ~ spl37_6
    | ~ spl37_7 ),
    inference(forward_demodulation,[],[f615,f287]) ).

fof(f617,plain,
    ( ! [X2,X3,X0,X1] :
        ( r2_hidden(k3_waybel_0(X0,sK2,sK5(X2,sK3,X3,sK6(X0,sK2,X1))),X1)
        | ~ m1_subset_1(sK6(X0,sK2,X1),sF32)
        | r1_waybel_0(X2,sK3,X3)
        | ~ l1_waybel_0(sK3,X2)
        | v3_struct_0(X2)
        | ~ l1_struct_0(X2)
        | ~ m1_subset_1(sK5(X2,sK3,X3,sK6(X0,sK2,X1)),sF29)
        | ~ r1_waybel_0(X0,sK2,X1)
        | ~ l1_waybel_0(sK2,X0)
        | v3_struct_0(X0)
        | ~ l1_struct_0(X0) )
    | ~ spl37_6
    | ~ spl37_7 ),
    inference(duplicate_literal_removal,[],[f616]) ).

fof(f660,definition,
    ( spl37_11
  <=> m1_relset_1(sF35,sF29,u1_struct_0(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl37_11])],[avatar_definition]) ).

fof(f661,plain,
    ( m1_relset_1(sF35,sF29,u1_struct_0(sK0))
    | ~ spl37_11 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f662,plain,
    ( ~ m1_relset_1(sF35,sF29,u1_struct_0(sK0))
    | spl37_11 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f672,definition,
    ( spl37_14
  <=> m1_relset_1(sF35,sF32,u1_struct_0(sK1)) ),
    introduced(definition,[new_symbols(definition,[spl37_14])],[avatar_definition]) ).

fof(f673,plain,
    ( m1_relset_1(sF35,sF32,u1_struct_0(sK1))
    | ~ spl37_14 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f674,plain,
    ( ~ m1_relset_1(sF35,sF32,u1_struct_0(sK1))
    | spl37_14 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f705,plain,
    ( m2_relset_1(u1_orders_2(sK3),sF32,sF32)
    | ~ l1_orders_2(sK3) ),
    inference(superposition,[],[f206,f293]) ).

fof(f708,plain,
    ( m2_relset_1(u1_orders_2(sK3),sF32,sF32)
    | ~ spl37_7 ),
    inference(forward_subsumption_resolution,[],[f705,f388]) ).

fof(f712,plain,
    ( m2_relset_1(sF33,sF32,sF32)
    | ~ spl37_7 ),
    inference(forward_demodulation,[],[f708,f295]) ).

fof(f716,plain,
    m1_relset_1(sF35,sF32,u1_struct_0(sK1)),
    inference(resolution,[],[f269,f528]) ).

fof(f717,plain,
    m1_relset_1(sF35,sF29,u1_struct_0(sK0)),
    inference(resolution,[],[f269,f529]) ).

fof(f719,plain,
    ( m1_relset_1(sF33,sF32,sF32)
    | ~ spl37_7 ),
    inference(resolution,[],[f269,f712]) ).

fof(f720,plain,
    ( $false
    | spl37_11 ),
    inference(forward_subsumption_resolution,[],[f717,f662]) ).

fof(f721,plain,
    spl37_11,
    inference(avatar_contradiction_clause,[],[f720]) ).

fof(f722,plain,
    ( $false
    | spl37_14 ),
    inference(forward_subsumption_resolution,[],[f716,f674]) ).

fof(f723,plain,
    spl37_14,
    inference(avatar_contradiction_clause,[],[f722]) ).

fof(f756,plain,
    ! [X0,X1] :
      ( g1_orders_2(X0,X1) != sF31
      | sF32 = X0
      | ~ m1_relset_1(sF33,sF32,sF32) ),
    inference(superposition,[],[f229,f304]) ).

fof(f762,plain,
    ( ! [X0,X1] :
        ( g1_orders_2(X0,X1) != sF31
        | sF32 = X0 )
    | ~ spl37_7 ),
    inference(forward_subsumption_resolution,[],[f756,f719]) ).

fof(f763,plain,
    ( sF31 != sF31
    | sF29 = sF32
    | ~ spl37_7 ),
    inference(superposition,[],[f762,f291]) ).

fof(f764,plain,
    ( sF29 = sF32
    | ~ spl37_7 ),
    inference(trivial_inequality_removal,[],[f763]) ).

fof(f766,plain,
    ( v1_funct_2(sF35,sF29,u1_struct_0(sK1))
    | ~ spl37_7 ),
    inference(superposition,[],[f322,f764]) ).

fof(f767,plain,
    ( ! [X0,X1] :
        ( ~ m1_subset_1(X0,sF29)
        | k3_waybel_0(X1,sK3,X0) = k1_waybel_0(sK3,X1,u1_waybel_0(X1,sK3),X0)
        | ~ l1_waybel_0(sK3,X1)
        | v3_struct_0(X1)
        | ~ l1_struct_0(X1) )
    | ~ spl37_7 ),
    inference(superposition,[],[f337,f764]) ).

fof(f768,plain,
    ( ! [X2,X0,X1] :
        ( m1_subset_1(sK5(X0,sK3,X1,X2),sF29)
        | ~ m1_subset_1(X2,sF29)
        | r1_waybel_0(X0,sK3,X1)
        | ~ l1_waybel_0(sK3,X0)
        | v3_struct_0(X0)
        | ~ l1_struct_0(X0) )
    | ~ spl37_7 ),
    inference(superposition,[],[f349,f764]) ).

fof(f771,plain,
    ( m1_relset_1(sF35,sF29,u1_struct_0(sK1))
    | ~ spl37_7
    | ~ spl37_14 ),
    inference(superposition,[],[f673,f764]) ).

fof(f780,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ m1_subset_1(X0,sF29)
        | r1_waybel_0(X1,sK3,X2)
        | ~ l1_waybel_0(sK3,X1)
        | v3_struct_0(X1)
        | ~ l1_struct_0(X1)
        | k3_waybel_0(X3,sK2,sK5(X1,sK3,X2,X0)) = k1_waybel_0(sK2,X3,u1_waybel_0(X3,sK2),sK5(X1,sK3,X2,X0))
        | ~ l1_waybel_0(sK2,X3)
        | v3_struct_0(X3)
        | ~ l1_struct_0(X3) )
    | ~ spl37_7 ),
    inference(resolution,[],[f768,f336]) ).

fof(f911,plain,
    ( l1_struct_0(sK2)
    | ~ spl37_5 ),
    inference(resolution,[],[f203,f380]) ).

fof(f912,plain,
    ( l1_struct_0(sK3)
    | ~ spl37_7 ),
    inference(resolution,[],[f203,f388]) ).

fof(f913,plain,
    ( $false
    | spl37_1
    | ~ spl37_7 ),
    inference(forward_subsumption_resolution,[],[f912,f313]) ).

fof(f914,plain,
    ( spl37_1
    | ~ spl37_7 ),
    inference(avatar_contradiction_clause,[],[f913]) ).

fof(f915,plain,
    ( $false
    | spl37_3
    | ~ spl37_5 ),
    inference(forward_subsumption_resolution,[],[f911,f329]) ).

fof(f916,plain,
    ( spl37_3
    | ~ spl37_5 ),
    inference(avatar_contradiction_clause,[],[f915]) ).

fof(f921,plain,
    ! [X2,X0,X1] :
      ( ~ v1_funct_2(X0,sF29,u1_struct_0(X1))
      | ~ l1_struct_0(sK2)
      | v3_struct_0(X1)
      | ~ l1_struct_0(X1)
      | ~ v1_funct_1(X0)
      | k1_funct_1(X0,X2) = k1_waybel_0(sK2,X1,X0,X2)
      | ~ m1_relset_1(X0,sF29,u1_struct_0(X1))
      | ~ m1_subset_1(X2,sF29) ),
    inference(forward_subsumption_resolution,[],[f577,f176]) ).

fof(f937,plain,
    ! [X2,X0,X1] :
      ( ~ v1_funct_2(X0,sF32,u1_struct_0(X1))
      | ~ l1_struct_0(sK3)
      | v3_struct_0(X1)
      | ~ l1_struct_0(X1)
      | ~ v1_funct_1(X0)
      | k1_waybel_0(sK3,X1,X0,X2) = k1_funct_1(X0,X2)
      | ~ m1_relset_1(X0,sF32,u1_struct_0(X1))
      | ~ m1_subset_1(X2,sF32) ),
    inference(forward_subsumption_resolution,[],[f576,f178]) ).

fof(f951,plain,
    ( ! [X2,X0,X1] :
        ( ~ v1_funct_2(X0,sF29,u1_struct_0(X1))
        | v3_struct_0(X1)
        | ~ l1_struct_0(X1)
        | ~ v1_funct_1(X0)
        | k1_funct_1(X0,X2) = k1_waybel_0(sK2,X1,X0,X2)
        | ~ m1_relset_1(X0,sF29,u1_struct_0(X1))
        | ~ m1_subset_1(X2,sF29) )
    | ~ spl37_3 ),
    inference(forward_subsumption_resolution,[],[f921,f328]) ).

fof(f986,plain,
    ( ! [X2,X0,X1] :
        ( ~ v1_funct_2(X0,sF32,u1_struct_0(X1))
        | v3_struct_0(X1)
        | ~ l1_struct_0(X1)
        | ~ v1_funct_1(X0)
        | k1_waybel_0(sK3,X1,X0,X2) = k1_funct_1(X0,X2)
        | ~ m1_relset_1(X0,sF32,u1_struct_0(X1))
        | ~ m1_subset_1(X2,sF32) )
    | ~ spl37_1 ),
    inference(forward_subsumption_resolution,[],[f937,f312]) ).

fof(f1014,plain,
    ( ! [X2,X0,X1] :
        ( ~ v1_funct_2(X0,sF29,u1_struct_0(X1))
        | v3_struct_0(X1)
        | ~ l1_struct_0(X1)
        | ~ v1_funct_1(X0)
        | k1_waybel_0(sK3,X1,X0,X2) = k1_funct_1(X0,X2)
        | ~ m1_relset_1(X0,sF32,u1_struct_0(X1))
        | ~ m1_subset_1(X2,sF32) )
    | ~ spl37_1
    | ~ spl37_7 ),
    inference(forward_demodulation,[],[f986,f764]) ).

fof(f1055,plain,
    ( ! [X2,X0,X1] :
        ( ~ m1_relset_1(X0,sF29,u1_struct_0(X1))
        | ~ v1_funct_2(X0,sF29,u1_struct_0(X1))
        | v3_struct_0(X1)
        | ~ l1_struct_0(X1)
        | ~ v1_funct_1(X0)
        | k1_waybel_0(sK3,X1,X0,X2) = k1_funct_1(X0,X2)
        | ~ m1_subset_1(X2,sF32) )
    | ~ spl37_1
    | ~ spl37_7 ),
    inference(forward_demodulation,[],[f1014,f764]) ).

fof(f1063,plain,
    ( ! [X2,X0,X1] :
        ( ~ v1_funct_2(X0,sF29,u1_struct_0(X1))
        | ~ m1_relset_1(X0,sF29,u1_struct_0(X1))
        | ~ m1_subset_1(X2,sF29)
        | v3_struct_0(X1)
        | ~ l1_struct_0(X1)
        | ~ v1_funct_1(X0)
        | k1_waybel_0(sK3,X1,X0,X2) = k1_funct_1(X0,X2) )
    | ~ spl37_1
    | ~ spl37_7 ),
    inference(forward_demodulation,[],[f1055,f764]) ).

fof(f1082,definition,
    ( spl37_33
  <=> m1_subset_1(sK6(sK0,sK2,sK4),sF29) ),
    introduced(definition,[new_symbols(definition,[spl37_33])],[avatar_definition]) ).

fof(f1083,plain,
    ( m1_subset_1(sK6(sK0,sK2,sK4),sF29)
    | ~ spl37_33 ),
    inference(avatar_component_clause,[],[f1082]) ).

fof(f1084,plain,
    ( ~ m1_subset_1(sK6(sK0,sK2,sK4),sF29)
    | spl37_33 ),
    inference(avatar_component_clause,[],[f1082]) ).

fof(f1105,plain,
    ( ~ r1_waybel_0(sK0,sK2,sK4)
    | ~ l1_waybel_0(sK2,sK0)
    | v3_struct_0(sK0)
    | ~ l1_struct_0(sK0)
    | spl37_33 ),
    inference(resolution,[],[f1084,f482]) ).

fof(f1106,plain,
    ( ~ l1_waybel_0(sK2,sK0)
    | v3_struct_0(sK0)
    | ~ l1_struct_0(sK0)
    | spl37_33 ),
    inference(forward_subsumption_resolution,[],[f1105,f181]) ).

fof(f1107,plain,
    ( v3_struct_0(sK0)
    | ~ l1_struct_0(sK0)
    | spl37_33 ),
    inference(forward_subsumption_resolution,[],[f1106,f175]) ).

fof(f1108,plain,
    ( ~ l1_struct_0(sK0)
    | spl37_33 ),
    inference(forward_subsumption_resolution,[],[f1107,f172]) ).

fof(f1109,plain,
    ( $false
    | spl37_33 ),
    inference(forward_subsumption_resolution,[],[f1108,f171]) ).

fof(f1110,plain,
    spl37_33,
    inference(avatar_contradiction_clause,[],[f1109]) ).

fof(f1144,plain,
    ( ! [X0] :
        ( ~ m1_relset_1(sF35,sF29,u1_struct_0(sK1))
        | ~ m1_subset_1(X0,sF29)
        | v3_struct_0(sK1)
        | ~ l1_struct_0(sK1)
        | ~ v1_funct_1(sF35)
        | k1_funct_1(sF35,X0) = k1_waybel_0(sK3,sK1,sF35,X0) )
    | ~ spl37_1
    | ~ spl37_7 ),
    inference(resolution,[],[f1063,f766]) ).

fof(f1150,plain,
    ( ! [X0] :
        ( ~ m1_subset_1(X0,sF29)
        | v3_struct_0(sK1)
        | ~ l1_struct_0(sK1)
        | ~ v1_funct_1(sF35)
        | k1_funct_1(sF35,X0) = k1_waybel_0(sK3,sK1,sF35,X0) )
    | ~ spl37_1
    | ~ spl37_7
    | ~ spl37_14 ),
    inference(forward_subsumption_resolution,[],[f1144,f771]) ).

fof(f1155,plain,
    ( ! [X0] :
        ( ~ m1_subset_1(X0,sF29)
        | ~ l1_struct_0(sK1)
        | ~ v1_funct_1(sF35)
        | k1_funct_1(sF35,X0) = k1_waybel_0(sK3,sK1,sF35,X0) )
    | ~ spl37_1
    | ~ spl37_7
    | ~ spl37_14 ),
    inference(forward_subsumption_resolution,[],[f1150,f174]) ).

fof(f1159,plain,
    ( ! [X0] :
        ( ~ m1_subset_1(X0,sF29)
        | ~ v1_funct_1(sF35)
        | k1_funct_1(sF35,X0) = k1_waybel_0(sK3,sK1,sF35,X0) )
    | ~ spl37_1
    | ~ spl37_7
    | ~ spl37_14 ),
    inference(forward_subsumption_resolution,[],[f1155,f173]) ).

fof(f1162,plain,
    ( ! [X0] :
        ( ~ m1_subset_1(X0,sF29)
        | k1_funct_1(sF35,X0) = k1_waybel_0(sK3,sK1,sF35,X0) )
    | ~ spl37_1
    | ~ spl37_7
    | ~ spl37_14 ),
    inference(forward_subsumption_resolution,[],[f1159,f534]) ).

fof(f1241,plain,
    ( ! [X0] :
        ( v3_struct_0(sK0)
        | ~ l1_struct_0(sK0)
        | ~ v1_funct_1(sF35)
        | k1_funct_1(sF35,X0) = k1_waybel_0(sK2,sK0,sF35,X0)
        | ~ m1_relset_1(sF35,sF29,u1_struct_0(sK0))
        | ~ m1_subset_1(X0,sF29) )
    | ~ spl37_3 ),
    inference(resolution,[],[f951,f323]) ).

fof(f1249,plain,
    ( ! [X0] :
        ( ~ l1_struct_0(sK0)
        | ~ v1_funct_1(sF35)
        | k1_funct_1(sF35,X0) = k1_waybel_0(sK2,sK0,sF35,X0)
        | ~ m1_relset_1(sF35,sF29,u1_struct_0(sK0))
        | ~ m1_subset_1(X0,sF29) )
    | ~ spl37_3 ),
    inference(forward_subsumption_resolution,[],[f1241,f172]) ).

fof(f1254,plain,
    ( ! [X0] :
        ( ~ v1_funct_1(sF35)
        | k1_funct_1(sF35,X0) = k1_waybel_0(sK2,sK0,sF35,X0)
        | ~ m1_relset_1(sF35,sF29,u1_struct_0(sK0))
        | ~ m1_subset_1(X0,sF29) )
    | ~ spl37_3 ),
    inference(forward_subsumption_resolution,[],[f1249,f171]) ).

fof(f1258,plain,
    ( ! [X0] :
        ( k1_funct_1(sF35,X0) = k1_waybel_0(sK2,sK0,sF35,X0)
        | ~ m1_relset_1(sF35,sF29,u1_struct_0(sK0))
        | ~ m1_subset_1(X0,sF29) )
    | ~ spl37_3 ),
    inference(forward_subsumption_resolution,[],[f1254,f534]) ).

fof(f1261,plain,
    ( ! [X0] :
        ( ~ m1_subset_1(X0,sF29)
        | k1_funct_1(sF35,X0) = k1_waybel_0(sK2,sK0,sF35,X0) )
    | ~ spl37_3
    | ~ spl37_11 ),
    inference(forward_subsumption_resolution,[],[f1258,f661]) ).

fof(f1415,plain,
    ( ! [X2,X0,X1] :
        ( ~ l1_waybel_0(sK3,X0)
        | r1_waybel_0(X0,sK3,X1)
        | v3_struct_0(X0)
        | ~ l1_struct_0(X0)
        | k3_waybel_0(X2,sK2,sK5(X0,sK3,X1,sK6(sK0,sK2,sK4))) = k1_waybel_0(sK2,X2,u1_waybel_0(X2,sK2),sK5(X0,sK3,X1,sK6(sK0,sK2,sK4)))
        | ~ l1_waybel_0(sK2,X2)
        | v3_struct_0(X2)
        | ~ l1_struct_0(X2) )
    | ~ spl37_7
    | ~ spl37_33 ),
    inference(resolution,[],[f780,f1083]) ).

fof(f1657,definition,
    ( spl37_46
  <=> m1_subset_1(sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4)),sF29) ),
    introduced(definition,[new_symbols(definition,[spl37_46])],[avatar_definition]) ).

fof(f1658,plain,
    ( m1_subset_1(sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4)),sF29)
    | ~ spl37_46 ),
    inference(avatar_component_clause,[],[f1657]) ).

fof(f1659,plain,
    ( ~ m1_subset_1(sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4)),sF29)
    | spl37_46 ),
    inference(avatar_component_clause,[],[f1657]) ).

fof(f2127,plain,
    ( ! [X0,X1] :
        ( r1_waybel_0(sK1,sK3,X0)
        | v3_struct_0(sK1)
        | ~ l1_struct_0(sK1)
        | k3_waybel_0(X1,sK2,sK5(sK1,sK3,X0,sK6(sK0,sK2,sK4))) = k1_waybel_0(sK2,X1,u1_waybel_0(X1,sK2),sK5(sK1,sK3,X0,sK6(sK0,sK2,sK4)))
        | ~ l1_waybel_0(sK2,X1)
        | v3_struct_0(X1)
        | ~ l1_struct_0(X1) )
    | ~ spl37_7
    | ~ spl37_33 ),
    inference(resolution,[],[f1415,f177]) ).

fof(f2128,plain,
    ( ! [X0,X1] :
        ( r1_waybel_0(sK1,sK3,X0)
        | ~ l1_struct_0(sK1)
        | k3_waybel_0(X1,sK2,sK5(sK1,sK3,X0,sK6(sK0,sK2,sK4))) = k1_waybel_0(sK2,X1,u1_waybel_0(X1,sK2),sK5(sK1,sK3,X0,sK6(sK0,sK2,sK4)))
        | ~ l1_waybel_0(sK2,X1)
        | v3_struct_0(X1)
        | ~ l1_struct_0(X1) )
    | ~ spl37_7
    | ~ spl37_33 ),
    inference(forward_subsumption_resolution,[],[f2127,f174]) ).

fof(f2129,plain,
    ( ! [X0,X1] :
        ( ~ l1_waybel_0(sK2,X1)
        | k3_waybel_0(X1,sK2,sK5(sK1,sK3,X0,sK6(sK0,sK2,sK4))) = k1_waybel_0(sK2,X1,u1_waybel_0(X1,sK2),sK5(sK1,sK3,X0,sK6(sK0,sK2,sK4)))
        | r1_waybel_0(sK1,sK3,X0)
        | v3_struct_0(X1)
        | ~ l1_struct_0(X1) )
    | ~ spl37_7
    | ~ spl37_33 ),
    inference(forward_subsumption_resolution,[],[f2128,f173]) ).

fof(f2130,plain,
    ( ! [X0] :
        ( k3_waybel_0(sK0,sK2,sK5(sK1,sK3,X0,sK6(sK0,sK2,sK4))) = k1_waybel_0(sK2,sK0,u1_waybel_0(sK0,sK2),sK5(sK1,sK3,X0,sK6(sK0,sK2,sK4)))
        | r1_waybel_0(sK1,sK3,X0)
        | v3_struct_0(sK0)
        | ~ l1_struct_0(sK0) )
    | ~ spl37_7
    | ~ spl37_33 ),
    inference(resolution,[],[f2129,f175]) ).

fof(f2131,plain,
    ( ! [X0] :
        ( k3_waybel_0(sK0,sK2,sK5(sK1,sK3,X0,sK6(sK0,sK2,sK4))) = k1_waybel_0(sK2,sK0,u1_waybel_0(sK0,sK2),sK5(sK1,sK3,X0,sK6(sK0,sK2,sK4)))
        | r1_waybel_0(sK1,sK3,X0)
        | ~ l1_struct_0(sK0) )
    | ~ spl37_7
    | ~ spl37_33 ),
    inference(forward_subsumption_resolution,[],[f2130,f172]) ).

fof(f2132,plain,
    ( ! [X0] :
        ( k3_waybel_0(sK0,sK2,sK5(sK1,sK3,X0,sK6(sK0,sK2,sK4))) = k1_waybel_0(sK2,sK0,u1_waybel_0(sK0,sK2),sK5(sK1,sK3,X0,sK6(sK0,sK2,sK4)))
        | r1_waybel_0(sK1,sK3,X0) )
    | ~ spl37_7
    | ~ spl37_33 ),
    inference(forward_subsumption_resolution,[],[f2131,f171]) ).

fof(f2133,plain,
    ( ! [X0] :
        ( r1_waybel_0(sK1,sK3,X0)
        | k3_waybel_0(sK0,sK2,sK5(sK1,sK3,X0,sK6(sK0,sK2,sK4))) = k1_waybel_0(sK2,sK0,sF35,sK5(sK1,sK3,X0,sK6(sK0,sK2,sK4))) )
    | ~ spl37_7
    | ~ spl37_33 ),
    inference(forward_demodulation,[],[f2132,f300]) ).

fof(f2134,plain,
    ( k3_waybel_0(sK0,sK2,sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4))) = k1_waybel_0(sK2,sK0,sF35,sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4)))
    | ~ spl37_7
    | ~ spl37_33 ),
    inference(resolution,[],[f2133,f182]) ).

fof(f2199,plain,
    ( ~ m1_subset_1(sK6(sK0,sK2,sK4),sF29)
    | r1_waybel_0(sK1,sK3,sK4)
    | ~ l1_waybel_0(sK3,sK1)
    | v3_struct_0(sK1)
    | ~ l1_struct_0(sK1)
    | ~ spl37_7
    | spl37_46 ),
    inference(resolution,[],[f1659,f768]) ).

fof(f2200,plain,
    ( r1_waybel_0(sK1,sK3,sK4)
    | ~ l1_waybel_0(sK3,sK1)
    | v3_struct_0(sK1)
    | ~ l1_struct_0(sK1)
    | ~ spl37_7
    | ~ spl37_33
    | spl37_46 ),
    inference(forward_subsumption_resolution,[],[f2199,f1083]) ).

fof(f2201,plain,
    ( ~ l1_waybel_0(sK3,sK1)
    | v3_struct_0(sK1)
    | ~ l1_struct_0(sK1)
    | ~ spl37_7
    | ~ spl37_33
    | spl37_46 ),
    inference(forward_subsumption_resolution,[],[f2200,f182]) ).

fof(f2202,plain,
    ( v3_struct_0(sK1)
    | ~ l1_struct_0(sK1)
    | ~ spl37_7
    | ~ spl37_33
    | spl37_46 ),
    inference(forward_subsumption_resolution,[],[f2201,f177]) ).

fof(f2203,plain,
    ( ~ l1_struct_0(sK1)
    | ~ spl37_7
    | ~ spl37_33
    | spl37_46 ),
    inference(forward_subsumption_resolution,[],[f2202,f174]) ).

fof(f2204,plain,
    ( $false
    | ~ spl37_7
    | ~ spl37_33
    | spl37_46 ),
    inference(forward_subsumption_resolution,[],[f2203,f173]) ).

fof(f2205,plain,
    ( ~ spl37_7
    | ~ spl37_33
    | spl37_46 ),
    inference(avatar_contradiction_clause,[],[f2204]) ).

fof(f2209,plain,
    ( ! [X0] :
        ( ~ l1_waybel_0(sK3,X0)
        | k3_waybel_0(X0,sK3,sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4))) = k1_waybel_0(sK3,X0,u1_waybel_0(X0,sK3),sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4)))
        | v3_struct_0(X0)
        | ~ l1_struct_0(X0) )
    | ~ spl37_7
    | ~ spl37_46 ),
    inference(resolution,[],[f1658,f767]) ).

fof(f2216,plain,
    ( k1_funct_1(sF35,sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4))) = k1_waybel_0(sK3,sK1,sF35,sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4)))
    | ~ spl37_1
    | ~ spl37_7
    | ~ spl37_14
    | ~ spl37_46 ),
    inference(resolution,[],[f1658,f1162]) ).

fof(f2220,plain,
    ( k1_waybel_0(sK2,sK0,sF35,sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4))) = k1_funct_1(sF35,sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4)))
    | ~ spl37_3
    | ~ spl37_11
    | ~ spl37_46 ),
    inference(resolution,[],[f1658,f1261]) ).

fof(f2224,plain,
    ( k3_waybel_0(sK0,sK2,sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4))) = k1_funct_1(sF35,sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4)))
    | ~ spl37_3
    | ~ spl37_7
    | ~ spl37_11
    | ~ spl37_33
    | ~ spl37_46 ),
    inference(forward_demodulation,[],[f2220,f2134]) ).

fof(f2228,plain,
    ( r2_hidden(k1_funct_1(sF35,sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4))),sK4)
    | ~ m1_subset_1(sK6(sK0,sK2,sK4),sF32)
    | r1_waybel_0(sK1,sK3,sK4)
    | ~ l1_waybel_0(sK3,sK1)
    | v3_struct_0(sK1)
    | ~ l1_struct_0(sK1)
    | ~ m1_subset_1(sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4)),sF29)
    | ~ r1_waybel_0(sK0,sK2,sK4)
    | ~ l1_waybel_0(sK2,sK0)
    | v3_struct_0(sK0)
    | ~ l1_struct_0(sK0)
    | ~ spl37_3
    | ~ spl37_6
    | ~ spl37_7
    | ~ spl37_11
    | ~ spl37_33
    | ~ spl37_46 ),
    inference(superposition,[],[f617,f2224]) ).

fof(f2231,plain,
    ( r2_hidden(k1_funct_1(sF35,sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4))),sK4)
    | ~ m1_subset_1(sK6(sK0,sK2,sK4),sF32)
    | ~ l1_waybel_0(sK3,sK1)
    | v3_struct_0(sK1)
    | ~ l1_struct_0(sK1)
    | ~ m1_subset_1(sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4)),sF29)
    | ~ r1_waybel_0(sK0,sK2,sK4)
    | ~ l1_waybel_0(sK2,sK0)
    | v3_struct_0(sK0)
    | ~ l1_struct_0(sK0)
    | ~ spl37_3
    | ~ spl37_6
    | ~ spl37_7
    | ~ spl37_11
    | ~ spl37_33
    | ~ spl37_46 ),
    inference(forward_subsumption_resolution,[],[f2228,f182]) ).

fof(f2235,plain,
    ( r2_hidden(k1_funct_1(sF35,sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4))),sK4)
    | ~ m1_subset_1(sK6(sK0,sK2,sK4),sF32)
    | v3_struct_0(sK1)
    | ~ l1_struct_0(sK1)
    | ~ m1_subset_1(sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4)),sF29)
    | ~ r1_waybel_0(sK0,sK2,sK4)
    | ~ l1_waybel_0(sK2,sK0)
    | v3_struct_0(sK0)
    | ~ l1_struct_0(sK0)
    | ~ spl37_3
    | ~ spl37_6
    | ~ spl37_7
    | ~ spl37_11
    | ~ spl37_33
    | ~ spl37_46 ),
    inference(forward_subsumption_resolution,[],[f2231,f177]) ).

fof(f2239,plain,
    ( r2_hidden(k1_funct_1(sF35,sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4))),sK4)
    | ~ m1_subset_1(sK6(sK0,sK2,sK4),sF32)
    | ~ l1_struct_0(sK1)
    | ~ m1_subset_1(sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4)),sF29)
    | ~ r1_waybel_0(sK0,sK2,sK4)
    | ~ l1_waybel_0(sK2,sK0)
    | v3_struct_0(sK0)
    | ~ l1_struct_0(sK0)
    | ~ spl37_3
    | ~ spl37_6
    | ~ spl37_7
    | ~ spl37_11
    | ~ spl37_33
    | ~ spl37_46 ),
    inference(forward_subsumption_resolution,[],[f2235,f174]) ).

fof(f2243,plain,
    ( r2_hidden(k1_funct_1(sF35,sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4))),sK4)
    | ~ m1_subset_1(sK6(sK0,sK2,sK4),sF32)
    | ~ m1_subset_1(sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4)),sF29)
    | ~ r1_waybel_0(sK0,sK2,sK4)
    | ~ l1_waybel_0(sK2,sK0)
    | v3_struct_0(sK0)
    | ~ l1_struct_0(sK0)
    | ~ spl37_3
    | ~ spl37_6
    | ~ spl37_7
    | ~ spl37_11
    | ~ spl37_33
    | ~ spl37_46 ),
    inference(forward_subsumption_resolution,[],[f2239,f173]) ).

fof(f2247,plain,
    ( r2_hidden(k1_funct_1(sF35,sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4))),sK4)
    | ~ m1_subset_1(sK6(sK0,sK2,sK4),sF32)
    | ~ r1_waybel_0(sK0,sK2,sK4)
    | ~ l1_waybel_0(sK2,sK0)
    | v3_struct_0(sK0)
    | ~ l1_struct_0(sK0)
    | ~ spl37_3
    | ~ spl37_6
    | ~ spl37_7
    | ~ spl37_11
    | ~ spl37_33
    | ~ spl37_46 ),
    inference(forward_subsumption_resolution,[],[f2243,f1658]) ).

fof(f2251,plain,
    ( r2_hidden(k1_funct_1(sF35,sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4))),sK4)
    | ~ m1_subset_1(sK6(sK0,sK2,sK4),sF32)
    | ~ l1_waybel_0(sK2,sK0)
    | v3_struct_0(sK0)
    | ~ l1_struct_0(sK0)
    | ~ spl37_3
    | ~ spl37_6
    | ~ spl37_7
    | ~ spl37_11
    | ~ spl37_33
    | ~ spl37_46 ),
    inference(forward_subsumption_resolution,[],[f2247,f181]) ).

fof(f2254,plain,
    ( r2_hidden(k1_funct_1(sF35,sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4))),sK4)
    | ~ m1_subset_1(sK6(sK0,sK2,sK4),sF32)
    | v3_struct_0(sK0)
    | ~ l1_struct_0(sK0)
    | ~ spl37_3
    | ~ spl37_6
    | ~ spl37_7
    | ~ spl37_11
    | ~ spl37_33
    | ~ spl37_46 ),
    inference(forward_subsumption_resolution,[],[f2251,f175]) ).

fof(f2257,plain,
    ( r2_hidden(k1_funct_1(sF35,sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4))),sK4)
    | ~ m1_subset_1(sK6(sK0,sK2,sK4),sF32)
    | ~ l1_struct_0(sK0)
    | ~ spl37_3
    | ~ spl37_6
    | ~ spl37_7
    | ~ spl37_11
    | ~ spl37_33
    | ~ spl37_46 ),
    inference(forward_subsumption_resolution,[],[f2254,f172]) ).

fof(f2260,plain,
    ( r2_hidden(k1_funct_1(sF35,sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4))),sK4)
    | ~ m1_subset_1(sK6(sK0,sK2,sK4),sF32)
    | ~ spl37_3
    | ~ spl37_6
    | ~ spl37_7
    | ~ spl37_11
    | ~ spl37_33
    | ~ spl37_46 ),
    inference(forward_subsumption_resolution,[],[f2257,f171]) ).

fof(f2266,definition,
    ( spl37_58
  <=> r2_hidden(k1_funct_1(sF35,sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4))),sK4) ),
    introduced(definition,[new_symbols(definition,[spl37_58])],[avatar_definition]) ).

fof(f2268,plain,
    ( r2_hidden(k1_funct_1(sF35,sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4))),sK4)
    | ~ spl37_58 ),
    inference(avatar_component_clause,[],[f2266]) ).

fof(f2270,plain,
    ( ~ m1_subset_1(sK6(sK0,sK2,sK4),sF29)
    | r2_hidden(k1_funct_1(sF35,sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4))),sK4)
    | ~ spl37_3
    | ~ spl37_6
    | ~ spl37_7
    | ~ spl37_11
    | ~ spl37_33
    | ~ spl37_46 ),
    inference(forward_demodulation,[],[f2260,f764]) ).

fof(f2271,plain,
    ( r2_hidden(k1_funct_1(sF35,sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4))),sK4)
    | ~ spl37_3
    | ~ spl37_6
    | ~ spl37_7
    | ~ spl37_11
    | ~ spl37_33
    | ~ spl37_46 ),
    inference(forward_subsumption_resolution,[],[f2270,f1083]) ).

fof(f2272,plain,
    ( spl37_58
    | ~ spl37_3
    | ~ spl37_6
    | ~ spl37_7
    | ~ spl37_11
    | ~ spl37_33
    | ~ spl37_46 ),
    inference(avatar_split_clause,[],[f2271,f1657,f1082,f660,f387,f383,f327,f2266]) ).

fof(f2324,plain,
    ( k3_waybel_0(sK1,sK3,sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4))) = k1_waybel_0(sK3,sK1,u1_waybel_0(sK1,sK3),sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4)))
    | v3_struct_0(sK1)
    | ~ l1_struct_0(sK1)
    | ~ spl37_7
    | ~ spl37_46 ),
    inference(resolution,[],[f2209,f177]) ).

fof(f2325,plain,
    ( k3_waybel_0(sK1,sK3,sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4))) = k1_waybel_0(sK3,sK1,u1_waybel_0(sK1,sK3),sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4)))
    | ~ l1_struct_0(sK1)
    | ~ spl37_7
    | ~ spl37_46 ),
    inference(forward_subsumption_resolution,[],[f2324,f174]) ).

fof(f2326,plain,
    ( k3_waybel_0(sK1,sK3,sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4))) = k1_waybel_0(sK3,sK1,u1_waybel_0(sK1,sK3),sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4)))
    | ~ spl37_7
    | ~ spl37_46 ),
    inference(forward_subsumption_resolution,[],[f2325,f173]) ).

fof(f2327,plain,
    ( k1_waybel_0(sK3,sK1,sF35,sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4))) = k3_waybel_0(sK1,sK3,sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4)))
    | ~ spl37_7
    | ~ spl37_46 ),
    inference(forward_demodulation,[],[f2326,f305]) ).

fof(f2328,plain,
    ( k1_funct_1(sF35,sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4))) = k3_waybel_0(sK1,sK3,sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4)))
    | ~ spl37_1
    | ~ spl37_7
    | ~ spl37_14
    | ~ spl37_46 ),
    inference(forward_demodulation,[],[f2327,f2216]) ).

fof(f2329,plain,
    ( ~ r2_hidden(k1_funct_1(sF35,sK5(sK1,sK3,sK4,sK6(sK0,sK2,sK4))),sK4)
    | ~ m1_subset_1(sK6(sK0,sK2,sK4),u1_struct_0(sK3))
    | r1_waybel_0(sK1,sK3,sK4)
    | v3_struct_0(sK3)
    | ~ l1_waybel_0(sK3,sK1)
    | v3_struct_0(sK1)
    | ~ l1_struct_0(sK1)
    | ~ spl37_1
    | ~ spl37_7
    | ~ spl37_14
    | ~ spl37_46 ),
    inference(superposition,[],[f196,f2328]) ).

fof(f2331,plain,
    ( ~ m1_subset_1(sK6(sK0,sK2,sK4),u1_struct_0(sK3))
    | r1_waybel_0(sK1,sK3,sK4)
    | v3_struct_0(sK3)
    | ~ l1_waybel_0(sK3,sK1)
    | v3_struct_0(sK1)
    | ~ l1_struct_0(sK1)
    | ~ spl37_1
    | ~ spl37_7
    | ~ spl37_14
    | ~ spl37_46
    | ~ spl37_58 ),
    inference(forward_subsumption_resolution,[],[f2329,f2268]) ).

fof(f2332,plain,
    ( ~ m1_subset_1(sK6(sK0,sK2,sK4),u1_struct_0(sK3))
    | v3_struct_0(sK3)
    | ~ l1_waybel_0(sK3,sK1)
    | v3_struct_0(sK1)
    | ~ l1_struct_0(sK1)
    | ~ spl37_1
    | ~ spl37_7
    | ~ spl37_14
    | ~ spl37_46
    | ~ spl37_58 ),
    inference(forward_subsumption_resolution,[],[f2331,f182]) ).

fof(f2333,plain,
    ( ~ m1_subset_1(sK6(sK0,sK2,sK4),u1_struct_0(sK3))
    | ~ l1_waybel_0(sK3,sK1)
    | v3_struct_0(sK1)
    | ~ l1_struct_0(sK1)
    | ~ spl37_1
    | ~ spl37_7
    | ~ spl37_14
    | ~ spl37_46
    | ~ spl37_58 ),
    inference(forward_subsumption_resolution,[],[f2332,f178]) ).

fof(f2334,plain,
    ( ~ m1_subset_1(sK6(sK0,sK2,sK4),u1_struct_0(sK3))
    | v3_struct_0(sK1)
    | ~ l1_struct_0(sK1)
    | ~ spl37_1
    | ~ spl37_7
    | ~ spl37_14
    | ~ spl37_46
    | ~ spl37_58 ),
    inference(forward_subsumption_resolution,[],[f2333,f177]) ).

fof(f2335,plain,
    ( ~ m1_subset_1(sK6(sK0,sK2,sK4),u1_struct_0(sK3))
    | ~ l1_struct_0(sK1)
    | ~ spl37_1
    | ~ spl37_7
    | ~ spl37_14
    | ~ spl37_46
    | ~ spl37_58 ),
    inference(forward_subsumption_resolution,[],[f2334,f174]) ).

fof(f2336,plain,
    ( ~ m1_subset_1(sK6(sK0,sK2,sK4),u1_struct_0(sK3))
    | ~ spl37_1
    | ~ spl37_7
    | ~ spl37_14
    | ~ spl37_46
    | ~ spl37_58 ),
    inference(forward_subsumption_resolution,[],[f2335,f173]) ).

fof(f2337,plain,
    ( ~ m1_subset_1(sK6(sK0,sK2,sK4),sF32)
    | ~ spl37_1
    | ~ spl37_7
    | ~ spl37_14
    | ~ spl37_46
    | ~ spl37_58 ),
    inference(forward_demodulation,[],[f2336,f293]) ).

fof(f2338,plain,
    ( ~ m1_subset_1(sK6(sK0,sK2,sK4),sF29)
    | ~ spl37_1
    | ~ spl37_7
    | ~ spl37_14
    | ~ spl37_46
    | ~ spl37_58 ),
    inference(forward_demodulation,[],[f2337,f764]) ).

fof(f2339,plain,
    ( $false
    | ~ spl37_1
    | ~ spl37_7
    | ~ spl37_14
    | ~ spl37_33
    | ~ spl37_46
    | ~ spl37_58 ),
    inference(forward_subsumption_resolution,[],[f2338,f1083]) ).

fof(f2340,plain,
    ( ~ spl37_1
    | ~ spl37_7
    | ~ spl37_14
    | ~ spl37_33
    | ~ spl37_46
    | ~ spl37_58 ),
    inference(avatar_contradiction_clause,[],[f2339]) ).

cnf(s7,plain,
    ( ~ spl37_5
    | spl37_6 ),
    inference(sat_conversion,[],[f408]) ).

cnf(s11,plain,
    spl37_7,
    inference(sat_conversion,[],[f431]) ).

cnf(s12,plain,
    spl37_5,
    inference(sat_conversion,[],[f461]) ).

cnf(s15,plain,
    spl37_11,
    inference(sat_conversion,[],[f721]) ).

cnf(s16,plain,
    spl37_14,
    inference(sat_conversion,[],[f723]) ).

cnf(s18,plain,
    ( spl37_1
    | ~ spl37_7 ),
    inference(sat_conversion,[],[f914]) ).

cnf(s19,plain,
    ( spl37_3
    | ~ spl37_5 ),
    inference(sat_conversion,[],[f916]) ).

cnf(s34,plain,
    spl37_33,
    inference(sat_conversion,[],[f1110]) ).

cnf(s57,plain,
    ( ~ spl37_7
    | ~ spl37_33
    | spl37_46 ),
    inference(sat_conversion,[],[f2205]) ).

cnf(s59,plain,
    ( ~ spl37_3
    | ~ spl37_6
    | ~ spl37_7
    | ~ spl37_11
    | ~ spl37_33
    | ~ spl37_46
    | spl37_58 ),
    inference(sat_conversion,[],[f2272]) ).

cnf(s60,plain,
    ( ~ spl37_1
    | ~ spl37_7
    | ~ spl37_14
    | ~ spl37_33
    | ~ spl37_46
    | ~ spl37_58 ),
    inference(sat_conversion,[],[f2340]) ).

cnf(s69,plain,
    spl37_3,
    inference(rat,[],[s19,s12]) ).

cnf(s75,plain,
    spl37_46,
    inference(rat,[],[s57,s34,s11]) ).

cnf(s77,plain,
    spl37_1,
    inference(rat,[],[s18,s11]) ).

cnf(s79,plain,
    ~ spl37_58,
    inference(rat,[],[s60,s75,s11,s34,s16,s77]) ).

cnf(s83,plain,
    ~ spl37_6,
    inference(rat,[],[s59,s11,s75,s34,s15,s69,s79]) ).

cnf(s88,plain,
    $false,
    inference(rat,[],[s7,s83,s12]) ).

fof(f2341,plain,
    $false,
    inference(avatar_sat_refutation,[],[s88]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : TOP046+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20  % Computer : n005.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Mon Sep 28 19:05:47 UTC 2026
% 0.09/0.21  % CPUTime  : 
% 0.09/0.21  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24  Running first-order theorem proving
% 0.09/0.24  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.57/2.03  % (1046369)Detected formulas, will run a generic FOF schedule.
% 7.57/2.03  % (1046601)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1984370470:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.57/2.03  % (1046601)Refutation not found, incomplete strategy
% 7.57/2.03  % (1046601)------------------------------
% 7.57/2.03  % (1046601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/2.03  % (1046601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/2.03  % (1046601)CaDiCaL version: 2.1.3
% 7.57/2.03  % (1046601)Termination reason: Refutation not found, incomplete strategy
% 7.57/2.03  % (1046601)Time elapsed: 0.001 s
% 7.57/2.03  % (1046601)Peak memory usage: 88 MB
% 7.57/2.03  % (1046601)Instructions burned: 1 (million)
% 7.57/2.03  % (1046600)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=192060055:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.57/2.03  % (1046607)dis-21_1_sil=8000:lcm=predicate:random_seed=3646487998:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 7.57/2.03  % (1046596)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=449159449:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.57/2.03  % (1046603)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2530569293:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.57/2.03  % (1046605)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3314309018:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.57/2.03  % (1046597)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3873471962:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.57/2.03  % (1046603)Instruction limit reached! 
% 7.57/2.03  % (1046603)------------------------------
% 7.57/2.03  % (1046603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/2.03  % (1046603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/2.03  % (1046603)CaDiCaL version: 2.1.3
% 7.57/2.03  % (1046603)Termination reason: Instruction limit
% 7.57/2.03  % (1046603)Termination phase: Saturation
% 7.57/2.03  % (1046603)Time elapsed: 0.070 s
% 7.57/2.03  % (1046603)Peak memory usage: 88 MB
% 7.57/2.03  % (1046603)Instructions burned: 120 (million)
% 7.57/2.03  % (1046607)Instruction limit reached! 
% 7.57/2.03  % (1046607)------------------------------
% 7.57/2.03  % (1046607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/2.03  % (1046607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/2.03  % (1046607)CaDiCaL version: 2.1.3
% 7.57/2.03  % (1046607)Termination reason: Instruction limit
% 7.57/2.03  % (1046607)Termination phase: Saturation
% 7.57/2.03  % (1046607)Time elapsed: 0.070 s
% 7.57/2.03  % (1046607)Peak memory usage: 91 MB
% 7.57/2.03  % (1046607)Instructions burned: 129 (million)
% 7.57/2.03  % (1046605)Instruction limit reached! 
% 7.57/2.03  % (1046605)------------------------------
% 7.57/2.03  % (1046605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/2.03  % (1046605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/2.03  % (1046605)CaDiCaL version: 2.1.3
% 7.57/2.03  % (1046605)Termination reason: Instruction limit
% 7.57/2.03  % (1046605)Termination phase: Saturation
% 7.57/2.03  % (1046605)Time elapsed: 0.102 s
% 7.57/2.03  % (1046605)Peak memory usage: 90 MB
% 7.57/2.03  % (1046605)Instructions burned: 139 (million)
% 7.57/2.03  % (1046601)------------------------------
% 7.57/2.03  % (1046601)------------------------------
% 7.57/2.03  % (1046735)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=4285559708:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 7.57/2.03  % (1046715)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1295422844:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.57/2.03  % (1046713)lrs+10_1_sil=8000:sp=occurrence:random_seed=1188852842:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.57/2.03  % (1046715)Refutation not found, incomplete strategy
% 7.57/2.03  % (1046715)------------------------------
% 7.57/2.03  % (1046715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/2.03  % (1046715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/2.03  % (1046715)CaDiCaL version: 2.1.3
% 7.57/2.03  % (1046715)Termination reason: Refutation not found, incomplete strategy
% 7.57/2.03  % (1046715)Time elapsed: 0.006 s
% 7.57/2.03  % (1046715)Peak memory usage: 89 MB
% 7.57/2.03  % (1046715)Instructions burned: 7 (million)
% 7.57/2.03  % (1046731)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1913189306:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.57/2.03  % (1046735)Instruction limit reached! 
% 7.57/2.03  % (1046735)------------------------------
% 7.57/2.03  % (1046735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/2.03  % (1046735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/2.03  % (1046735)CaDiCaL version: 2.1.3
% 7.57/2.03  % (1046735)Termination reason: Instruction limit
% 7.57/2.03  % (1046735)Termination phase: Saturation
% 7.57/2.03  % (1046735)Time elapsed: 0.077 s
% 7.57/2.03  % (1046735)Peak memory usage: 93 MB
% 7.57/2.03  % (1046735)Instructions burned: 249 (million)
% 7.57/2.03  % (1046818)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3926102910:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 7.57/2.03  % (1046818)Refutation not found, incomplete strategy
% 7.57/2.03  % (1046818)------------------------------
% 7.57/2.03  % (1046818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/2.03  % (1046818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/2.03  % (1046818)CaDiCaL version: 2.1.3
% 7.57/2.03  % (1046818)Termination reason: Refutation not found, incomplete strategy
% 7.57/2.03  % (1046818)Time elapsed: 0.007 s
% 7.57/2.03  % (1046818)Peak memory usage: 88 MB
% 7.57/2.03  % (1046818)Instructions burned: 19 (million)
% 7.57/2.03  % (1046713)Instruction limit reached! 
% 7.57/2.03  % (1046713)------------------------------
% 7.57/2.03  % (1046713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/2.03  % (1046713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/2.03  % (1046713)CaDiCaL version: 2.1.3
% 7.57/2.03  % (1046713)Termination reason: Instruction limit
% 7.57/2.03  % (1046713)Termination phase: Saturation
% 7.57/2.03  % (1046713)Time elapsed: 0.179 s
% 7.57/2.03  % (1046713)Peak memory usage: 93 MB
% 7.57/2.03  % (1046713)Instructions burned: 286 (million)
% 7.57/2.03  % (1046731)Instruction limit reached! 
% 7.57/2.03  % (1046731)------------------------------
% 7.57/2.03  % (1046731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/2.03  % (1046731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/2.03  % (1046731)CaDiCaL version: 2.1.3
% 7.57/2.03  % (1046731)Termination reason: Instruction limit
% 7.57/2.03  % (1046731)Termination phase: Saturation
% 7.57/2.03  % (1046731)Time elapsed: 0.191 s
% 7.57/2.03  % (1046731)Peak memory usage: 90 MB
% 7.57/2.03  % (1046731)Instructions burned: 325 (million)
% 7.57/2.03  % (1046715)------------------------------
% 7.57/2.03  % (1046715)------------------------------
% 7.57/2.03  % (1046869)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1742767021:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 7.57/2.03  % (1046818)------------------------------
% 7.57/2.03  % (1046818)------------------------------
% 7.57/2.03  % (1046898)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3770840975:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 7.57/2.03  % (1046905)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1982858349:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 7.57/2.03  % (1046898)Instruction limit reached! 
% 7.57/2.03  % (1046898)------------------------------
% 7.57/2.03  % (1046898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/2.03  % (1046898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/2.03  % (1046898)CaDiCaL version: 2.1.3
% 7.57/2.03  % (1046898)Termination reason: Instruction limit
% 7.57/2.03  % (1046898)Termination phase: Saturation
% 7.57/2.03  % (1046898)Time elapsed: 0.077 s
% 7.57/2.03  % (1046898)Peak memory usage: 91 MB
% 7.57/2.03  % (1046898)Instructions burned: 114 (million)
% 7.57/2.03  % (1046905)Instruction limit reached! 
% 7.57/2.03  % (1046905)------------------------------
% 7.57/2.03  % (1046905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/2.03  % (1046905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/2.03  % (1046905)CaDiCaL version: 2.1.3
% 7.57/2.03  % (1046905)Termination reason: Instruction limit
% 7.57/2.03  % (1046905)Termination phase: Saturation
% 7.57/2.03  % (1046905)Time elapsed: 0.069 s
% 7.57/2.03  % (1046905)Peak memory usage: 89 MB
% 7.57/2.03  % (1046905)Instructions burned: 128 (million)
% 7.57/2.03  % (1046941)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1868946984:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 7.57/2.03  % (1046941)Instruction limit reached! 
% 7.57/2.03  % (1046941)------------------------------
% 7.57/2.03  % (1046941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/2.03  % (1046941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/2.03  % (1046941)CaDiCaL version: 2.1.3
% 7.57/2.03  % (1046941)Termination reason: Instruction limit
% 7.57/2.03  % (1046941)Termination phase: Saturation
% 7.57/2.03  % (1046941)Time elapsed: 0.070 s
% 7.57/2.03  % (1046941)Peak memory usage: 89 MB
% 7.57/2.03  % (1046941)Instructions burned: 115 (million)
% 7.57/2.03  % (1046970)lrs+10_1_sil=8000:sp=occurrence:random_seed=2233757113:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 7.57/2.03  % (1046972)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4097786381:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 7.57/2.03  % (1046972)Refutation not found, incomplete strategy
% 7.57/2.03  % (1046972)------------------------------
% 7.57/2.03  % (1046972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/2.03  % (1046972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/2.03  % (1046972)CaDiCaL version: 2.1.3
% 7.57/2.03  % (1046972)Termination reason: Refutation not found, incomplete strategy
% 7.57/2.03  % (1046972)Time elapsed: 0.043 s
% 7.57/2.03  % (1046972)Peak memory usage: 89 MB
% 7.57/2.03  % (1046972)Instructions burned: 69 (million)
% 7.57/2.03  % (1046973)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2877196444:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 7.57/2.03  % (1046596)First to succeed.
% 7.57/2.03  % (1046596)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1046369"
% 7.57/2.03  % (1046597)Also succeeded, but the first one will report.
% 7.57/2.03  % (1046972)------------------------------
% 7.57/2.03  % (1046972)------------------------------
% 7.57/2.03  % (1047005)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3248801746:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 7.57/2.03  % (1046596)Refutation found. Thanks to Tanya!
% 7.57/2.03  % SZS status Theorem for theBenchmark
% 7.57/2.03  % SZS output start Proof for theBenchmark
% See solution above
% 10.18/2.23  % (1046596)------------------------------
% 10.18/2.23  % (1046596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.18/2.23  % (1046596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.18/2.23  % (1046596)CaDiCaL version: 2.1.3
% 10.18/2.23  % (1046596)Termination reason: Refutation
% 10.18/2.23  % (1046596)Time elapsed: 0.946 s
% 10.18/2.23  % (1046596)Peak memory usage: 133 MB
% 10.18/2.23  % (1046596)Instructions burned: 1421 (million)
% 10.18/2.23  % (1046596)------------------------------
% 10.18/2.23  % (1046596)------------------------------
% 10.18/2.23  % (1046369)Success in time 1.352 s
% 10.18/2.23  % Vampire exiting
%------------------------------------------------------------------------------