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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ALG217+3 : 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 09:19:22 AM UTC 2026

% Result   : Theorem 59.19s 9.97s
% Output   : Refutation 63.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  104
%            Number of leaves      :   68
% Syntax   : Number of formulae    :  653 ( 105 unt;  51 def)
%            Number of atoms       : 10643 ( 268 equ)
%            Maximal formula atoms :   42 (  16 avg)
%            Number of connectives : 18392 (8402   ~;9501   |; 392   &)
%                                         (  58 <=>;  39  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   44 (  18 avg)
%            Maximal term depth    :    8 (   1 avg)
%            Number of predicates  :   72 (  70 usr;  50 prp; 0-4 aty)
%            Number of functors    :   17 (  17 usr;   5 con; 0-4 aty)
%            Number of variables   :  638 (   0 sgn 619   !;  19   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f481,axiom,
    ! [X0] : k1_subset_1(X0) = k1_xboole_0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_subset_1) ).

fof(f486,axiom,
    ! [X0] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset_1) ).

fof(f9685,axiom,
    ! [X0,X1] :
      ( ( ~ v3_struct_0(X0)
        & v3_rlvect_1(X0)
        & v4_rlvect_1(X0)
        & v5_rlvect_1(X0)
        & v6_rlvect_1(X0)
        & v4_group_1(X0)
        & v6_vectsp_1(X0)
        & v7_vectsp_1(X0)
        & v8_vectsp_1(X0)
        & l3_vectsp_1(X0)
        & ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v5_vectsp_2(X1,X0)
        & l1_vectsp_2(X1,X0) )
     => ? [X2] :
          ( m1_rmod_2(X2,X0,X1)
          & ~ v3_struct_0(X2)
          & v3_rlvect_1(X2)
          & v4_rlvect_1(X2)
          & v5_rlvect_1(X2)
          & v6_rlvect_1(X2)
          & v3_vectsp_2(X2,X0)
          & v5_vectsp_2(X2,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_rmod_2) ).

fof(f9712,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v3_rlvect_1(X0)
        & v4_rlvect_1(X0)
        & v5_rlvect_1(X0)
        & v6_rlvect_1(X0)
        & v4_group_1(X0)
        & v6_vectsp_1(X0)
        & v7_vectsp_1(X0)
        & v8_vectsp_1(X0)
        & l3_vectsp_1(X0) )
     => ! [X1] :
          ( ( ~ v3_struct_0(X1)
            & v3_rlvect_1(X1)
            & v4_rlvect_1(X1)
            & v5_rlvect_1(X1)
            & v6_rlvect_1(X1)
            & v5_vectsp_2(X1,X0)
            & l1_vectsp_2(X1,X0) )
         => ! [X2] :
              ( m1_rmod_2(X2,X0,X1)
             => ! [X3] :
                  ( m1_rmod_2(X3,X0,X1)
                 => r1_rlvect_1(X3,k1_rlvect_1(X2)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_rmod_2) ).

fof(f9719,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v3_rlvect_1(X0)
        & v4_rlvect_1(X0)
        & v5_rlvect_1(X0)
        & v6_rlvect_1(X0)
        & v4_group_1(X0)
        & v6_vectsp_1(X0)
        & v7_vectsp_1(X0)
        & v8_vectsp_1(X0)
        & l3_vectsp_1(X0) )
     => ! [X1] :
          ( ( ~ v3_struct_0(X1)
            & v3_rlvect_1(X1)
            & v4_rlvect_1(X1)
            & v5_rlvect_1(X1)
            & v6_rlvect_1(X1)
            & v3_vectsp_2(X1,X0)
            & v5_vectsp_2(X1,X0)
            & l1_vectsp_2(X1,X0) )
         => ! [X2] :
              ( ( ~ v3_struct_0(X2)
                & v3_rlvect_1(X2)
                & v4_rlvect_1(X2)
                & v5_rlvect_1(X2)
                & v6_rlvect_1(X2)
                & v3_vectsp_2(X2,X0)
                & v5_vectsp_2(X2,X0)
                & l1_vectsp_2(X2,X0) )
             => ( ( m1_rmod_2(X2,X0,X1)
                  & m1_rmod_2(X1,X0,X2) )
               => X2 = X1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_rmod_2) ).

fof(f9722,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v3_rlvect_1(X0)
        & v4_rlvect_1(X0)
        & v5_rlvect_1(X0)
        & v6_rlvect_1(X0)
        & v4_group_1(X0)
        & v6_vectsp_1(X0)
        & v7_vectsp_1(X0)
        & v8_vectsp_1(X0)
        & l3_vectsp_1(X0) )
     => ! [X1] :
          ( ( ~ v3_struct_0(X1)
            & v3_rlvect_1(X1)
            & v4_rlvect_1(X1)
            & v5_rlvect_1(X1)
            & v6_rlvect_1(X1)
            & v5_vectsp_2(X1,X0)
            & l1_vectsp_2(X1,X0) )
         => ! [X2] :
              ( m1_rmod_2(X2,X0,X1)
             => ! [X3] :
                  ( m1_rmod_2(X3,X0,X1)
                 => ( ! [X4] :
                        ( m1_subset_1(X4,u1_struct_0(X1))
                       => ( r1_rlvect_1(X2,X4)
                         => r1_rlvect_1(X3,X4) ) )
                   => m1_rmod_2(X2,X0,X3) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_rmod_2) ).

fof(f9734,axiom,
    ! [X0,X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & l3_vectsp_1(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v3_rlvect_1(X2)
            & v4_rlvect_1(X2)
            & v5_rlvect_1(X2)
            & v6_rlvect_1(X2)
            & v5_vectsp_2(X2,X1)
            & l1_vectsp_2(X2,X1) )
         => ( r1_rlvect_1(k1_rmod_2(X1,X2),X0)
          <=> X0 = k1_rlvect_1(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_rmod_2) ).

fof(f9735,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v3_rlvect_1(X0)
        & v4_rlvect_1(X0)
        & v5_rlvect_1(X0)
        & v6_rlvect_1(X0)
        & v4_group_1(X0)
        & v6_vectsp_1(X0)
        & v7_vectsp_1(X0)
        & v8_vectsp_1(X0)
        & l3_vectsp_1(X0) )
     => ! [X1] :
          ( ( ~ v3_struct_0(X1)
            & v3_rlvect_1(X1)
            & v4_rlvect_1(X1)
            & v5_rlvect_1(X1)
            & v6_rlvect_1(X1)
            & v5_vectsp_2(X1,X0)
            & l1_vectsp_2(X1,X0) )
         => ! [X2] :
              ( m1_rmod_2(X2,X0,X1)
             => k1_rmod_2(X0,X2) = k1_rmod_2(X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t47_rmod_2) ).

fof(f9738,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v3_rlvect_1(X0)
        & v4_rlvect_1(X0)
        & v5_rlvect_1(X0)
        & v6_rlvect_1(X0)
        & v4_group_1(X0)
        & v6_vectsp_1(X0)
        & v7_vectsp_1(X0)
        & v8_vectsp_1(X0)
        & l3_vectsp_1(X0) )
     => ! [X1] :
          ( ( ~ v3_struct_0(X1)
            & v3_rlvect_1(X1)
            & v4_rlvect_1(X1)
            & v5_rlvect_1(X1)
            & v6_rlvect_1(X1)
            & v5_vectsp_2(X1,X0)
            & l1_vectsp_2(X1,X0) )
         => ! [X2] :
              ( m1_rmod_2(X2,X0,X1)
             => m1_rmod_2(k1_rmod_2(X0,X1),X0,X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t50_rmod_2) ).

fof(f9784,axiom,
    ! [X0,X1] :
      ( ( ~ v3_struct_0(X0)
        & v3_rlvect_1(X0)
        & v4_rlvect_1(X0)
        & v5_rlvect_1(X0)
        & v6_rlvect_1(X0)
        & v4_group_1(X0)
        & v6_vectsp_1(X0)
        & v7_vectsp_1(X0)
        & v8_vectsp_1(X0)
        & l3_vectsp_1(X0)
        & ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v5_vectsp_2(X1,X0)
        & l1_vectsp_2(X1,X0) )
     => ! [X2] :
          ( m1_rmod_2(X2,X0,X1)
         => ( ~ v3_struct_0(X2)
            & v3_rlvect_1(X2)
            & v4_rlvect_1(X2)
            & v5_rlvect_1(X2)
            & v6_rlvect_1(X2)
            & v5_vectsp_2(X2,X0)
            & l1_vectsp_2(X2,X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_rmod_2) ).

fof(f9788,axiom,
    ! [X0,X1] :
      ( ( ~ v3_struct_0(X0)
        & v3_rlvect_1(X0)
        & v4_rlvect_1(X0)
        & v5_rlvect_1(X0)
        & v6_rlvect_1(X0)
        & v4_group_1(X0)
        & v6_vectsp_1(X0)
        & v7_vectsp_1(X0)
        & v8_vectsp_1(X0)
        & l3_vectsp_1(X0)
        & ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v5_vectsp_2(X1,X0)
        & l1_vectsp_2(X1,X0) )
     => ( v3_vectsp_2(k1_rmod_2(X0,X1),X0)
        & m1_rmod_2(k1_rmod_2(X0,X1),X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_rmod_2) ).

fof(f9926,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v3_rlvect_1(X0)
        & v4_rlvect_1(X0)
        & v5_rlvect_1(X0)
        & v6_rlvect_1(X0)
        & v4_group_1(X0)
        & v6_vectsp_1(X0)
        & v7_vectsp_1(X0)
        & v8_vectsp_1(X0)
        & l3_vectsp_1(X0) )
     => ! [X1] :
          ( ( ~ v3_struct_0(X1)
            & v3_rlvect_1(X1)
            & v4_rlvect_1(X1)
            & v5_rlvect_1(X1)
            & v6_rlvect_1(X1)
            & v5_vectsp_2(X1,X0)
            & l1_vectsp_2(X1,X0) )
         => ! [X2] :
              ( m2_rmod_4(X2,X0,X1,k1_subset_1(u1_struct_0(X1)))
             => k5_rmod_4(X0,X1,X2) = k1_rlvect_1(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t42_rmod_4) ).

fof(f9989,axiom,
    ! [X0,X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v7_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & ~ v10_vectsp_1(X1)
        & v2_vectsp_2(X1)
        & l3_vectsp_1(X1)
        & ~ v3_struct_0(X2)
        & v3_rlvect_1(X2)
        & v4_rlvect_1(X2)
        & v5_rlvect_1(X2)
        & v6_rlvect_1(X2)
        & v5_vectsp_2(X2,X1)
        & l1_vectsp_2(X2,X1) )
     => ( r2_hidden(X0,a_2_0_rmod_5(X1,X2))
      <=> ? [X3] :
            ( m2_rmod_4(X3,X1,X2,k1_subset_1(u1_struct_0(X2)))
            & X0 = k5_rmod_4(X1,X2,X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_2_0_rmod_5) ).

fof(f9991,axiom,
    ! [X0,X1,X2] :
      ( ( ~ v3_struct_0(X0)
        & v3_rlvect_1(X0)
        & v4_rlvect_1(X0)
        & v5_rlvect_1(X0)
        & v6_rlvect_1(X0)
        & v4_group_1(X0)
        & v7_group_1(X0)
        & v6_vectsp_1(X0)
        & v7_vectsp_1(X0)
        & v8_vectsp_1(X0)
        & ~ v10_vectsp_1(X0)
        & v2_vectsp_2(X0)
        & l3_vectsp_1(X0)
        & ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v5_vectsp_2(X1,X0)
        & l1_vectsp_2(X1,X0)
        & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
     => ( v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0)
        & m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_rmod_5) ).

fof(f10002,axiom,
    ! [X0,X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v7_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & ~ v10_vectsp_1(X1)
        & v2_vectsp_2(X1)
        & l3_vectsp_1(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v3_rlvect_1(X2)
            & v4_rlvect_1(X2)
            & v5_rlvect_1(X2)
            & v6_rlvect_1(X2)
            & v5_vectsp_2(X2,X1)
            & l1_vectsp_2(X2,X1) )
         => ! [X3] :
              ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
             => ( r1_rlvect_1(k1_rmod_5(X1,X2,X3),X0)
              <=> ? [X4] :
                    ( m2_rmod_4(X4,X1,X2,X3)
                    & X0 = k5_rmod_4(X1,X2,X4) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_rmod_5) ).

fof(f10004,conjecture,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v3_rlvect_1(X0)
        & v4_rlvect_1(X0)
        & v5_rlvect_1(X0)
        & v6_rlvect_1(X0)
        & v4_group_1(X0)
        & v7_group_1(X0)
        & v6_vectsp_1(X0)
        & v7_vectsp_1(X0)
        & v8_vectsp_1(X0)
        & ~ v10_vectsp_1(X0)
        & v2_vectsp_2(X0)
        & l3_vectsp_1(X0) )
     => ! [X1] :
          ( ( ~ v3_struct_0(X1)
            & v3_rlvect_1(X1)
            & v4_rlvect_1(X1)
            & v5_rlvect_1(X1)
            & v6_rlvect_1(X1)
            & v5_vectsp_2(X1,X0)
            & l1_vectsp_2(X1,X0) )
         => k1_rmod_5(X0,X1,k1_subset_1(u1_struct_0(X1))) = k1_rmod_2(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_rmod_5) ).

fof(f10005,negated_conjecture,
    ~ ! [X0] :
        ( ( ~ v3_struct_0(X0)
          & v3_rlvect_1(X0)
          & v4_rlvect_1(X0)
          & v5_rlvect_1(X0)
          & v6_rlvect_1(X0)
          & v4_group_1(X0)
          & v7_group_1(X0)
          & v6_vectsp_1(X0)
          & v7_vectsp_1(X0)
          & v8_vectsp_1(X0)
          & ~ v10_vectsp_1(X0)
          & v2_vectsp_2(X0)
          & l3_vectsp_1(X0) )
       => ! [X1] :
            ( ( ~ v3_struct_0(X1)
              & v3_rlvect_1(X1)
              & v4_rlvect_1(X1)
              & v5_rlvect_1(X1)
              & v6_rlvect_1(X1)
              & v5_vectsp_2(X1,X0)
              & l1_vectsp_2(X1,X0) )
           => k1_rmod_5(X0,X1,k1_subset_1(u1_struct_0(X1))) = k1_rmod_2(X0,X1) ) ),
    inference(negated_conjecture,[status(cth)],[f10004]) ).

fof(f10030,plain,
    ! [X0,X1,X2] :
      ( ( r2_hidden(X0,a_2_0_rmod_5(X1,X2))
      <=> ? [X3] :
            ( m2_rmod_4(X3,X1,X2,k1_subset_1(u1_struct_0(X2)))
            & X0 = k5_rmod_4(X1,X2,X3) ) )
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v4_group_1(X1)
      | ~ v7_group_1(X1)
      | ~ v6_vectsp_1(X1)
      | ~ v7_vectsp_1(X1)
      | ~ v8_vectsp_1(X1)
      | v10_vectsp_1(X1)
      | ~ v2_vectsp_2(X1)
      | ~ l3_vectsp_1(X1)
      | v3_struct_0(X2)
      | ~ v3_rlvect_1(X2)
      | ~ v4_rlvect_1(X2)
      | ~ v5_rlvect_1(X2)
      | ~ v6_rlvect_1(X2)
      | ~ v5_vectsp_2(X2,X1)
      | ~ l1_vectsp_2(X2,X1) ),
    inference(ennf_transformation,[],[f9989]) ).

fof(f10031,plain,
    ! [X0,X1,X2] :
      ( ( r2_hidden(X0,a_2_0_rmod_5(X1,X2))
      <=> ? [X3] :
            ( m2_rmod_4(X3,X1,X2,k1_subset_1(u1_struct_0(X2)))
            & X0 = k5_rmod_4(X1,X2,X3) ) )
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v4_group_1(X1)
      | ~ v7_group_1(X1)
      | ~ v6_vectsp_1(X1)
      | ~ v7_vectsp_1(X1)
      | ~ v8_vectsp_1(X1)
      | v10_vectsp_1(X1)
      | ~ v2_vectsp_2(X1)
      | ~ l3_vectsp_1(X1)
      | v3_struct_0(X2)
      | ~ v3_rlvect_1(X2)
      | ~ v4_rlvect_1(X2)
      | ~ v5_rlvect_1(X2)
      | ~ v6_rlvect_1(X2)
      | ~ v5_vectsp_2(X2,X1)
      | ~ l1_vectsp_2(X2,X1) ),
    inference(flattening,[],[f10030]) ).

fof(f10034,plain,
    ! [X0,X1,X2] :
      ( ( v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0)
        & m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1) )
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v7_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | v10_vectsp_1(X0)
      | ~ v2_vectsp_2(X0)
      | ~ l3_vectsp_1(X0)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0)
      | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    inference(ennf_transformation,[],[f9991]) ).

fof(f10035,plain,
    ! [X0,X1,X2] :
      ( ( v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0)
        & m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1) )
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v7_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | v10_vectsp_1(X0)
      | ~ v2_vectsp_2(X0)
      | ~ l3_vectsp_1(X0)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0)
      | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    inference(flattening,[],[f10034]) ).

fof(f10050,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ! [X3] :
              ( ( r1_rlvect_1(k1_rmod_5(X1,X2,X3),X0)
              <=> ? [X4] :
                    ( m2_rmod_4(X4,X1,X2,X3)
                    & X0 = k5_rmod_4(X1,X2,X4) ) )
              | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) )
          | v3_struct_0(X2)
          | ~ v3_rlvect_1(X2)
          | ~ v4_rlvect_1(X2)
          | ~ v5_rlvect_1(X2)
          | ~ v6_rlvect_1(X2)
          | ~ v5_vectsp_2(X2,X1)
          | ~ l1_vectsp_2(X2,X1) )
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v4_group_1(X1)
      | ~ v7_group_1(X1)
      | ~ v6_vectsp_1(X1)
      | ~ v7_vectsp_1(X1)
      | ~ v8_vectsp_1(X1)
      | v10_vectsp_1(X1)
      | ~ v2_vectsp_2(X1)
      | ~ l3_vectsp_1(X1) ),
    inference(ennf_transformation,[],[f10002]) ).

fof(f10051,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ! [X3] :
              ( ( r1_rlvect_1(k1_rmod_5(X1,X2,X3),X0)
              <=> ? [X4] :
                    ( m2_rmod_4(X4,X1,X2,X3)
                    & X0 = k5_rmod_4(X1,X2,X4) ) )
              | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) )
          | v3_struct_0(X2)
          | ~ v3_rlvect_1(X2)
          | ~ v4_rlvect_1(X2)
          | ~ v5_rlvect_1(X2)
          | ~ v6_rlvect_1(X2)
          | ~ v5_vectsp_2(X2,X1)
          | ~ l1_vectsp_2(X2,X1) )
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v4_group_1(X1)
      | ~ v7_group_1(X1)
      | ~ v6_vectsp_1(X1)
      | ~ v7_vectsp_1(X1)
      | ~ v8_vectsp_1(X1)
      | v10_vectsp_1(X1)
      | ~ v2_vectsp_2(X1)
      | ~ l3_vectsp_1(X1) ),
    inference(flattening,[],[f10050]) ).

fof(f10054,plain,
    ? [X0] :
      ( ? [X1] :
          ( k1_rmod_2(X0,X1) != k1_rmod_5(X0,X1,k1_subset_1(u1_struct_0(X1)))
          & ~ v3_struct_0(X1)
          & v3_rlvect_1(X1)
          & v4_rlvect_1(X1)
          & v5_rlvect_1(X1)
          & v6_rlvect_1(X1)
          & v5_vectsp_2(X1,X0)
          & l1_vectsp_2(X1,X0) )
      & ~ v3_struct_0(X0)
      & v3_rlvect_1(X0)
      & v4_rlvect_1(X0)
      & v5_rlvect_1(X0)
      & v6_rlvect_1(X0)
      & v4_group_1(X0)
      & v7_group_1(X0)
      & v6_vectsp_1(X0)
      & v7_vectsp_1(X0)
      & v8_vectsp_1(X0)
      & ~ v10_vectsp_1(X0)
      & v2_vectsp_2(X0)
      & l3_vectsp_1(X0) ),
    inference(ennf_transformation,[],[f10005]) ).

fof(f10055,plain,
    ? [X0] :
      ( ? [X1] :
          ( k1_rmod_2(X0,X1) != k1_rmod_5(X0,X1,k1_subset_1(u1_struct_0(X1)))
          & ~ v3_struct_0(X1)
          & v3_rlvect_1(X1)
          & v4_rlvect_1(X1)
          & v5_rlvect_1(X1)
          & v6_rlvect_1(X1)
          & v5_vectsp_2(X1,X0)
          & l1_vectsp_2(X1,X0) )
      & ~ v3_struct_0(X0)
      & v3_rlvect_1(X0)
      & v4_rlvect_1(X0)
      & v5_rlvect_1(X0)
      & v6_rlvect_1(X0)
      & v4_group_1(X0)
      & v7_group_1(X0)
      & v6_vectsp_1(X0)
      & v7_vectsp_1(X0)
      & v8_vectsp_1(X0)
      & ~ v10_vectsp_1(X0)
      & v2_vectsp_2(X0)
      & l3_vectsp_1(X0) ),
    inference(flattening,[],[f10054]) ).

fof(f10064,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( k5_rmod_4(X0,X1,X2) = k1_rlvect_1(X1)
              | ~ m2_rmod_4(X2,X0,X1,k1_subset_1(u1_struct_0(X1))) )
          | v3_struct_0(X1)
          | ~ v3_rlvect_1(X1)
          | ~ v4_rlvect_1(X1)
          | ~ v5_rlvect_1(X1)
          | ~ v6_rlvect_1(X1)
          | ~ v5_vectsp_2(X1,X0)
          | ~ l1_vectsp_2(X1,X0) )
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ l3_vectsp_1(X0) ),
    inference(ennf_transformation,[],[f9926]) ).

fof(f10065,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( k5_rmod_4(X0,X1,X2) = k1_rlvect_1(X1)
              | ~ m2_rmod_4(X2,X0,X1,k1_subset_1(u1_struct_0(X1))) )
          | v3_struct_0(X1)
          | ~ v3_rlvect_1(X1)
          | ~ v4_rlvect_1(X1)
          | ~ v5_rlvect_1(X1)
          | ~ v6_rlvect_1(X1)
          | ~ v5_vectsp_2(X1,X0)
          | ~ l1_vectsp_2(X1,X0) )
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ l3_vectsp_1(X0) ),
    inference(flattening,[],[f10064]) ).

fof(f10101,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( X2 = X1
              | ~ m1_rmod_2(X2,X0,X1)
              | ~ m1_rmod_2(X1,X0,X2)
              | v3_struct_0(X2)
              | ~ v3_rlvect_1(X2)
              | ~ v4_rlvect_1(X2)
              | ~ v5_rlvect_1(X2)
              | ~ v6_rlvect_1(X2)
              | ~ v3_vectsp_2(X2,X0)
              | ~ v5_vectsp_2(X2,X0)
              | ~ l1_vectsp_2(X2,X0) )
          | v3_struct_0(X1)
          | ~ v3_rlvect_1(X1)
          | ~ v4_rlvect_1(X1)
          | ~ v5_rlvect_1(X1)
          | ~ v6_rlvect_1(X1)
          | ~ v3_vectsp_2(X1,X0)
          | ~ v5_vectsp_2(X1,X0)
          | ~ l1_vectsp_2(X1,X0) )
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ l3_vectsp_1(X0) ),
    inference(ennf_transformation,[],[f9719]) ).

fof(f10102,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( X2 = X1
              | ~ m1_rmod_2(X2,X0,X1)
              | ~ m1_rmod_2(X1,X0,X2)
              | v3_struct_0(X2)
              | ~ v3_rlvect_1(X2)
              | ~ v4_rlvect_1(X2)
              | ~ v5_rlvect_1(X2)
              | ~ v6_rlvect_1(X2)
              | ~ v3_vectsp_2(X2,X0)
              | ~ v5_vectsp_2(X2,X0)
              | ~ l1_vectsp_2(X2,X0) )
          | v3_struct_0(X1)
          | ~ v3_rlvect_1(X1)
          | ~ v4_rlvect_1(X1)
          | ~ v5_rlvect_1(X1)
          | ~ v6_rlvect_1(X1)
          | ~ v3_vectsp_2(X1,X0)
          | ~ v5_vectsp_2(X1,X0)
          | ~ l1_vectsp_2(X1,X0) )
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ l3_vectsp_1(X0) ),
    inference(flattening,[],[f10101]) ).

fof(f10103,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( m1_rmod_2(X2,X0,X1)
          & ~ v3_struct_0(X2)
          & v3_rlvect_1(X2)
          & v4_rlvect_1(X2)
          & v5_rlvect_1(X2)
          & v6_rlvect_1(X2)
          & v3_vectsp_2(X2,X0)
          & v5_vectsp_2(X2,X0) )
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ l3_vectsp_1(X0)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0) ),
    inference(ennf_transformation,[],[f9685]) ).

fof(f10104,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( m1_rmod_2(X2,X0,X1)
          & ~ v3_struct_0(X2)
          & v3_rlvect_1(X2)
          & v4_rlvect_1(X2)
          & v5_rlvect_1(X2)
          & v6_rlvect_1(X2)
          & v3_vectsp_2(X2,X0)
          & v5_vectsp_2(X2,X0) )
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ l3_vectsp_1(X0)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0) ),
    inference(flattening,[],[f10103]) ).

fof(f10113,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v3_rlvect_1(X2)
            & v4_rlvect_1(X2)
            & v5_rlvect_1(X2)
            & v6_rlvect_1(X2)
            & v5_vectsp_2(X2,X0)
            & l1_vectsp_2(X2,X0) )
          | ~ m1_rmod_2(X2,X0,X1) )
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ l3_vectsp_1(X0)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0) ),
    inference(ennf_transformation,[],[f9784]) ).

fof(f10114,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v3_rlvect_1(X2)
            & v4_rlvect_1(X2)
            & v5_rlvect_1(X2)
            & v6_rlvect_1(X2)
            & v5_vectsp_2(X2,X0)
            & l1_vectsp_2(X2,X0) )
          | ~ m1_rmod_2(X2,X0,X1) )
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ l3_vectsp_1(X0)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0) ),
    inference(flattening,[],[f10113]) ).

fof(f10115,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( m1_rmod_2(X2,X0,X3)
                  | ? [X4] :
                      ( ~ r1_rlvect_1(X3,X4)
                      & r1_rlvect_1(X2,X4)
                      & m1_subset_1(X4,u1_struct_0(X1)) )
                  | ~ m1_rmod_2(X3,X0,X1) )
              | ~ m1_rmod_2(X2,X0,X1) )
          | v3_struct_0(X1)
          | ~ v3_rlvect_1(X1)
          | ~ v4_rlvect_1(X1)
          | ~ v5_rlvect_1(X1)
          | ~ v6_rlvect_1(X1)
          | ~ v5_vectsp_2(X1,X0)
          | ~ l1_vectsp_2(X1,X0) )
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ l3_vectsp_1(X0) ),
    inference(ennf_transformation,[],[f9722]) ).

fof(f10116,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( m1_rmod_2(X2,X0,X3)
                  | ? [X4] :
                      ( ~ r1_rlvect_1(X3,X4)
                      & r1_rlvect_1(X2,X4)
                      & m1_subset_1(X4,u1_struct_0(X1)) )
                  | ~ m1_rmod_2(X3,X0,X1) )
              | ~ m1_rmod_2(X2,X0,X1) )
          | v3_struct_0(X1)
          | ~ v3_rlvect_1(X1)
          | ~ v4_rlvect_1(X1)
          | ~ v5_rlvect_1(X1)
          | ~ v6_rlvect_1(X1)
          | ~ v5_vectsp_2(X1,X0)
          | ~ l1_vectsp_2(X1,X0) )
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ l3_vectsp_1(X0) ),
    inference(flattening,[],[f10115]) ).

fof(f10125,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( r1_rlvect_1(X3,k1_rlvect_1(X2))
                  | ~ m1_rmod_2(X3,X0,X1) )
              | ~ m1_rmod_2(X2,X0,X1) )
          | v3_struct_0(X1)
          | ~ v3_rlvect_1(X1)
          | ~ v4_rlvect_1(X1)
          | ~ v5_rlvect_1(X1)
          | ~ v6_rlvect_1(X1)
          | ~ v5_vectsp_2(X1,X0)
          | ~ l1_vectsp_2(X1,X0) )
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ l3_vectsp_1(X0) ),
    inference(ennf_transformation,[],[f9712]) ).

fof(f10126,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( r1_rlvect_1(X3,k1_rlvect_1(X2))
                  | ~ m1_rmod_2(X3,X0,X1) )
              | ~ m1_rmod_2(X2,X0,X1) )
          | v3_struct_0(X1)
          | ~ v3_rlvect_1(X1)
          | ~ v4_rlvect_1(X1)
          | ~ v5_rlvect_1(X1)
          | ~ v6_rlvect_1(X1)
          | ~ v5_vectsp_2(X1,X0)
          | ~ l1_vectsp_2(X1,X0) )
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ l3_vectsp_1(X0) ),
    inference(flattening,[],[f10125]) ).

fof(f10192,plain,
    ! [X0,X1] :
      ( ( v3_vectsp_2(k1_rmod_2(X0,X1),X0)
        & m1_rmod_2(k1_rmod_2(X0,X1),X0,X1) )
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ l3_vectsp_1(X0)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0) ),
    inference(ennf_transformation,[],[f9788]) ).

fof(f10193,plain,
    ! [X0,X1] :
      ( ( v3_vectsp_2(k1_rmod_2(X0,X1),X0)
        & m1_rmod_2(k1_rmod_2(X0,X1),X0,X1) )
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ l3_vectsp_1(X0)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0) ),
    inference(flattening,[],[f10192]) ).

fof(f10202,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( m1_rmod_2(k1_rmod_2(X0,X1),X0,X2)
              | ~ m1_rmod_2(X2,X0,X1) )
          | v3_struct_0(X1)
          | ~ v3_rlvect_1(X1)
          | ~ v4_rlvect_1(X1)
          | ~ v5_rlvect_1(X1)
          | ~ v6_rlvect_1(X1)
          | ~ v5_vectsp_2(X1,X0)
          | ~ l1_vectsp_2(X1,X0) )
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ l3_vectsp_1(X0) ),
    inference(ennf_transformation,[],[f9738]) ).

fof(f10203,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( m1_rmod_2(k1_rmod_2(X0,X1),X0,X2)
              | ~ m1_rmod_2(X2,X0,X1) )
          | v3_struct_0(X1)
          | ~ v3_rlvect_1(X1)
          | ~ v4_rlvect_1(X1)
          | ~ v5_rlvect_1(X1)
          | ~ v6_rlvect_1(X1)
          | ~ v5_vectsp_2(X1,X0)
          | ~ l1_vectsp_2(X1,X0) )
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ l3_vectsp_1(X0) ),
    inference(flattening,[],[f10202]) ).

fof(f10208,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( k1_rmod_2(X0,X2) = k1_rmod_2(X0,X1)
              | ~ m1_rmod_2(X2,X0,X1) )
          | v3_struct_0(X1)
          | ~ v3_rlvect_1(X1)
          | ~ v4_rlvect_1(X1)
          | ~ v5_rlvect_1(X1)
          | ~ v6_rlvect_1(X1)
          | ~ v5_vectsp_2(X1,X0)
          | ~ l1_vectsp_2(X1,X0) )
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ l3_vectsp_1(X0) ),
    inference(ennf_transformation,[],[f9735]) ).

fof(f10209,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( k1_rmod_2(X0,X2) = k1_rmod_2(X0,X1)
              | ~ m1_rmod_2(X2,X0,X1) )
          | v3_struct_0(X1)
          | ~ v3_rlvect_1(X1)
          | ~ v4_rlvect_1(X1)
          | ~ v5_rlvect_1(X1)
          | ~ v6_rlvect_1(X1)
          | ~ v5_vectsp_2(X1,X0)
          | ~ l1_vectsp_2(X1,X0) )
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ l3_vectsp_1(X0) ),
    inference(flattening,[],[f10208]) ).

fof(f10210,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( r1_rlvect_1(k1_rmod_2(X1,X2),X0)
          <=> X0 = k1_rlvect_1(X2) )
          | v3_struct_0(X2)
          | ~ v3_rlvect_1(X2)
          | ~ v4_rlvect_1(X2)
          | ~ v5_rlvect_1(X2)
          | ~ v6_rlvect_1(X2)
          | ~ v5_vectsp_2(X2,X1)
          | ~ l1_vectsp_2(X2,X1) )
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v4_group_1(X1)
      | ~ v6_vectsp_1(X1)
      | ~ v7_vectsp_1(X1)
      | ~ v8_vectsp_1(X1)
      | ~ l3_vectsp_1(X1) ),
    inference(ennf_transformation,[],[f9734]) ).

fof(f10211,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( r1_rlvect_1(k1_rmod_2(X1,X2),X0)
          <=> X0 = k1_rlvect_1(X2) )
          | v3_struct_0(X2)
          | ~ v3_rlvect_1(X2)
          | ~ v4_rlvect_1(X2)
          | ~ v5_rlvect_1(X2)
          | ~ v6_rlvect_1(X2)
          | ~ v5_vectsp_2(X2,X1)
          | ~ l1_vectsp_2(X2,X1) )
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v4_group_1(X1)
      | ~ v6_vectsp_1(X1)
      | ~ v7_vectsp_1(X1)
      | ~ v8_vectsp_1(X1)
      | ~ l3_vectsp_1(X1) ),
    inference(flattening,[],[f10210]) ).

fof(f10214,plain,
    ! [X0,X1,X2] :
      ( ( ( r2_hidden(X0,a_2_0_rmod_5(X1,X2))
          | ! [X3] :
              ( ~ m2_rmod_4(X3,X1,X2,k1_subset_1(u1_struct_0(X2)))
              | k5_rmod_4(X1,X2,X3) != X0 ) )
        & ( ? [X3] :
              ( m2_rmod_4(X3,X1,X2,k1_subset_1(u1_struct_0(X2)))
              & X0 = k5_rmod_4(X1,X2,X3) )
          | ~ r2_hidden(X0,a_2_0_rmod_5(X1,X2)) ) )
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v4_group_1(X1)
      | ~ v7_group_1(X1)
      | ~ v6_vectsp_1(X1)
      | ~ v7_vectsp_1(X1)
      | ~ v8_vectsp_1(X1)
      | v10_vectsp_1(X1)
      | ~ v2_vectsp_2(X1)
      | ~ l3_vectsp_1(X1)
      | v3_struct_0(X2)
      | ~ v3_rlvect_1(X2)
      | ~ v4_rlvect_1(X2)
      | ~ v5_rlvect_1(X2)
      | ~ v6_rlvect_1(X2)
      | ~ v5_vectsp_2(X2,X1)
      | ~ l1_vectsp_2(X2,X1) ),
    inference(nnf_transformation,[],[f10031]) ).

fof(f10215,plain,
    ! [X0,X1,X2] :
      ( ( ( r2_hidden(X0,a_2_0_rmod_5(X1,X2))
          | ! [X3] :
              ( ~ m2_rmod_4(X3,X1,X2,k1_subset_1(u1_struct_0(X2)))
              | k5_rmod_4(X1,X2,X3) != X0 ) )
        & ( ? [X4] :
              ( m2_rmod_4(X4,X1,X2,k1_subset_1(u1_struct_0(X2)))
              & k5_rmod_4(X1,X2,X4) = X0 )
          | ~ r2_hidden(X0,a_2_0_rmod_5(X1,X2)) ) )
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v4_group_1(X1)
      | ~ v7_group_1(X1)
      | ~ v6_vectsp_1(X1)
      | ~ v7_vectsp_1(X1)
      | ~ v8_vectsp_1(X1)
      | v10_vectsp_1(X1)
      | ~ v2_vectsp_2(X1)
      | ~ l3_vectsp_1(X1)
      | v3_struct_0(X2)
      | ~ v3_rlvect_1(X2)
      | ~ v4_rlvect_1(X2)
      | ~ v5_rlvect_1(X2)
      | ~ v6_rlvect_1(X2)
      | ~ v5_vectsp_2(X2,X1)
      | ~ l1_vectsp_2(X2,X1) ),
    inference(rectify,[],[f10214]) ).

fof(f10216,plain,
    ! [X0,X1,X2] :
      ( ( ( r2_hidden(X0,a_2_0_rmod_5(X1,X2))
          | ! [X3] :
              ( ~ m2_rmod_4(X3,X1,X2,k1_subset_1(u1_struct_0(X2)))
              | k5_rmod_4(X1,X2,X3) != X0 ) )
        & ( ( m2_rmod_4(sK0(X0,X1,X2),X1,X2,k1_subset_1(u1_struct_0(X2)))
            & k5_rmod_4(X1,X2,sK0(X0,X1,X2)) = X0 )
          | ~ r2_hidden(X0,a_2_0_rmod_5(X1,X2)) ) )
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v4_group_1(X1)
      | ~ v7_group_1(X1)
      | ~ v6_vectsp_1(X1)
      | ~ v7_vectsp_1(X1)
      | ~ v8_vectsp_1(X1)
      | v10_vectsp_1(X1)
      | ~ v2_vectsp_2(X1)
      | ~ l3_vectsp_1(X1)
      | v3_struct_0(X2)
      | ~ v3_rlvect_1(X2)
      | ~ v4_rlvect_1(X2)
      | ~ v5_rlvect_1(X2)
      | ~ v6_rlvect_1(X2)
      | ~ v5_vectsp_2(X2,X1)
      | ~ l1_vectsp_2(X2,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X4,sK0(X0,X1,X2))],[f10215]) ).

fof(f10224,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ! [X3] :
              ( ( ( r1_rlvect_1(k1_rmod_5(X1,X2,X3),X0)
                  | ! [X4] :
                      ( ~ m2_rmod_4(X4,X1,X2,X3)
                      | k5_rmod_4(X1,X2,X4) != X0 ) )
                & ( ? [X4] :
                      ( m2_rmod_4(X4,X1,X2,X3)
                      & X0 = k5_rmod_4(X1,X2,X4) )
                  | ~ r1_rlvect_1(k1_rmod_5(X1,X2,X3),X0) ) )
              | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) )
          | v3_struct_0(X2)
          | ~ v3_rlvect_1(X2)
          | ~ v4_rlvect_1(X2)
          | ~ v5_rlvect_1(X2)
          | ~ v6_rlvect_1(X2)
          | ~ v5_vectsp_2(X2,X1)
          | ~ l1_vectsp_2(X2,X1) )
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v4_group_1(X1)
      | ~ v7_group_1(X1)
      | ~ v6_vectsp_1(X1)
      | ~ v7_vectsp_1(X1)
      | ~ v8_vectsp_1(X1)
      | v10_vectsp_1(X1)
      | ~ v2_vectsp_2(X1)
      | ~ l3_vectsp_1(X1) ),
    inference(nnf_transformation,[],[f10051]) ).

fof(f10225,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ! [X3] :
              ( ( ( r1_rlvect_1(k1_rmod_5(X1,X2,X3),X0)
                  | ! [X4] :
                      ( ~ m2_rmod_4(X4,X1,X2,X3)
                      | k5_rmod_4(X1,X2,X4) != X0 ) )
                & ( ? [X5] :
                      ( m2_rmod_4(X5,X1,X2,X3)
                      & k5_rmod_4(X1,X2,X5) = X0 )
                  | ~ r1_rlvect_1(k1_rmod_5(X1,X2,X3),X0) ) )
              | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) )
          | v3_struct_0(X2)
          | ~ v3_rlvect_1(X2)
          | ~ v4_rlvect_1(X2)
          | ~ v5_rlvect_1(X2)
          | ~ v6_rlvect_1(X2)
          | ~ v5_vectsp_2(X2,X1)
          | ~ l1_vectsp_2(X2,X1) )
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v4_group_1(X1)
      | ~ v7_group_1(X1)
      | ~ v6_vectsp_1(X1)
      | ~ v7_vectsp_1(X1)
      | ~ v8_vectsp_1(X1)
      | v10_vectsp_1(X1)
      | ~ v2_vectsp_2(X1)
      | ~ l3_vectsp_1(X1) ),
    inference(rectify,[],[f10224]) ).

fof(f10226,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ! [X3] :
              ( ( ( r1_rlvect_1(k1_rmod_5(X1,X2,X3),X0)
                  | ! [X4] :
                      ( ~ m2_rmod_4(X4,X1,X2,X3)
                      | k5_rmod_4(X1,X2,X4) != X0 ) )
                & ( ( m2_rmod_4(sK3(X0,X1,X2,X3),X1,X2,X3)
                    & k5_rmod_4(X1,X2,sK3(X0,X1,X2,X3)) = X0 )
                  | ~ r1_rlvect_1(k1_rmod_5(X1,X2,X3),X0) ) )
              | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) )
          | v3_struct_0(X2)
          | ~ v3_rlvect_1(X2)
          | ~ v4_rlvect_1(X2)
          | ~ v5_rlvect_1(X2)
          | ~ v6_rlvect_1(X2)
          | ~ v5_vectsp_2(X2,X1)
          | ~ l1_vectsp_2(X2,X1) )
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v4_group_1(X1)
      | ~ v7_group_1(X1)
      | ~ v6_vectsp_1(X1)
      | ~ v7_vectsp_1(X1)
      | ~ v8_vectsp_1(X1)
      | v10_vectsp_1(X1)
      | ~ v2_vectsp_2(X1)
      | ~ l3_vectsp_1(X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X5,sK3(X0,X1,X2,X3))],[f10225]) ).

fof(f10227,plain,
    ( k1_rmod_2(sK4,sK5) != k1_rmod_5(sK4,sK5,k1_subset_1(u1_struct_0(sK5)))
    & ~ v3_struct_0(sK5)
    & v3_rlvect_1(sK5)
    & v4_rlvect_1(sK5)
    & v5_rlvect_1(sK5)
    & v6_rlvect_1(sK5)
    & v5_vectsp_2(sK5,sK4)
    & l1_vectsp_2(sK5,sK4)
    & ~ v3_struct_0(sK4)
    & v3_rlvect_1(sK4)
    & v4_rlvect_1(sK4)
    & v5_rlvect_1(sK4)
    & v6_rlvect_1(sK4)
    & v4_group_1(sK4)
    & v7_group_1(sK4)
    & v6_vectsp_1(sK4)
    & v7_vectsp_1(sK4)
    & v8_vectsp_1(sK4)
    & ~ v10_vectsp_1(sK4)
    & v2_vectsp_2(sK4)
    & l3_vectsp_1(sK4) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X0,sK4),skolemize(X1,sK5)],[f10055]) ).

fof(f10253,plain,
    ! [X0,X1] :
      ( ( m1_rmod_2(sK22(X0,X1),X0,X1)
        & ~ v3_struct_0(sK22(X0,X1))
        & v3_rlvect_1(sK22(X0,X1))
        & v4_rlvect_1(sK22(X0,X1))
        & v5_rlvect_1(sK22(X0,X1))
        & v6_rlvect_1(sK22(X0,X1))
        & v3_vectsp_2(sK22(X0,X1),X0)
        & v5_vectsp_2(sK22(X0,X1),X0) )
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ l3_vectsp_1(X0)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(X2,sK22(X0,X1))],[f10104]) ).

fof(f10258,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( m1_rmod_2(X2,X0,X3)
                  | ( ~ r1_rlvect_1(X3,sK27(X1,X2,X3))
                    & r1_rlvect_1(X2,sK27(X1,X2,X3))
                    & m1_subset_1(sK27(X1,X2,X3),u1_struct_0(X1)) )
                  | ~ m1_rmod_2(X3,X0,X1) )
              | ~ m1_rmod_2(X2,X0,X1) )
          | v3_struct_0(X1)
          | ~ v3_rlvect_1(X1)
          | ~ v4_rlvect_1(X1)
          | ~ v5_rlvect_1(X1)
          | ~ v6_rlvect_1(X1)
          | ~ v5_vectsp_2(X1,X0)
          | ~ l1_vectsp_2(X1,X0) )
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ l3_vectsp_1(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(X4,sK27(X1,X2,X3))],[f10116]) ).

fof(f10281,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ( r1_rlvect_1(k1_rmod_2(X1,X2),X0)
              | k1_rlvect_1(X2) != X0 )
            & ( X0 = k1_rlvect_1(X2)
              | ~ r1_rlvect_1(k1_rmod_2(X1,X2),X0) ) )
          | v3_struct_0(X2)
          | ~ v3_rlvect_1(X2)
          | ~ v4_rlvect_1(X2)
          | ~ v5_rlvect_1(X2)
          | ~ v6_rlvect_1(X2)
          | ~ v5_vectsp_2(X2,X1)
          | ~ l1_vectsp_2(X2,X1) )
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v4_group_1(X1)
      | ~ v6_vectsp_1(X1)
      | ~ v7_vectsp_1(X1)
      | ~ v8_vectsp_1(X1)
      | ~ l3_vectsp_1(X1) ),
    inference(nnf_transformation,[],[f10211]) ).

fof(f10283,plain,
    ! [X2,X0,X1] :
      ( ~ v2_vectsp_2(X1)
      | ~ r2_hidden(X0,a_2_0_rmod_5(X1,X2))
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v4_group_1(X1)
      | ~ v7_group_1(X1)
      | ~ v6_vectsp_1(X1)
      | ~ v7_vectsp_1(X1)
      | ~ v8_vectsp_1(X1)
      | v10_vectsp_1(X1)
      | k5_rmod_4(X1,X2,sK0(X0,X1,X2)) = X0
      | ~ l3_vectsp_1(X1)
      | v3_struct_0(X2)
      | ~ v3_rlvect_1(X2)
      | ~ v4_rlvect_1(X2)
      | ~ v5_rlvect_1(X2)
      | ~ v6_rlvect_1(X2)
      | ~ v5_vectsp_2(X2,X1)
      | ~ l1_vectsp_2(X2,X1) ),
    inference(cnf_transformation,[],[f10216]) ).

fof(f10284,plain,
    ! [X2,X0,X1] :
      ( m2_rmod_4(sK0(X0,X1,X2),X1,X2,k1_subset_1(u1_struct_0(X2)))
      | ~ r2_hidden(X0,a_2_0_rmod_5(X1,X2))
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v4_group_1(X1)
      | ~ v7_group_1(X1)
      | ~ v6_vectsp_1(X1)
      | ~ v7_vectsp_1(X1)
      | ~ v8_vectsp_1(X1)
      | v10_vectsp_1(X1)
      | ~ v2_vectsp_2(X1)
      | ~ l3_vectsp_1(X1)
      | v3_struct_0(X2)
      | ~ v3_rlvect_1(X2)
      | ~ v4_rlvect_1(X2)
      | ~ v5_rlvect_1(X2)
      | ~ v6_rlvect_1(X2)
      | ~ v5_vectsp_2(X2,X1)
      | ~ l1_vectsp_2(X2,X1) ),
    inference(cnf_transformation,[],[f10216]) ).

fof(f10285,plain,
    ! [X2,X3,X0,X1] :
      ( r2_hidden(X0,a_2_0_rmod_5(X1,X2))
      | ~ m2_rmod_4(X3,X1,X2,k1_subset_1(u1_struct_0(X2)))
      | k5_rmod_4(X1,X2,X3) != X0
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v4_group_1(X1)
      | ~ v7_group_1(X1)
      | ~ v6_vectsp_1(X1)
      | ~ v7_vectsp_1(X1)
      | ~ v8_vectsp_1(X1)
      | v10_vectsp_1(X1)
      | ~ v2_vectsp_2(X1)
      | ~ l3_vectsp_1(X1)
      | v3_struct_0(X2)
      | ~ v3_rlvect_1(X2)
      | ~ v4_rlvect_1(X2)
      | ~ v5_rlvect_1(X2)
      | ~ v6_rlvect_1(X2)
      | ~ v5_vectsp_2(X2,X1)
      | ~ l1_vectsp_2(X2,X1) ),
    inference(cnf_transformation,[],[f10216]) ).

fof(f10289,plain,
    ! [X2,X0,X1] :
      ( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v7_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | v10_vectsp_1(X0)
      | ~ v2_vectsp_2(X0)
      | ~ l3_vectsp_1(X0)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0)
      | m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1) ),
    inference(cnf_transformation,[],[f10035]) ).

fof(f10290,plain,
    ! [X2,X0,X1] :
      ( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v7_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | v10_vectsp_1(X0)
      | ~ v2_vectsp_2(X0)
      | ~ l3_vectsp_1(X0)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0)
      | v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0) ),
    inference(cnf_transformation,[],[f10035]) ).

fof(f10304,plain,
    ! [X2,X3,X0,X1] :
      ( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
      | ~ r1_rlvect_1(k1_rmod_5(X1,X2,X3),X0)
      | k5_rmod_4(X1,X2,sK3(X0,X1,X2,X3)) = X0
      | v3_struct_0(X2)
      | ~ v3_rlvect_1(X2)
      | ~ v4_rlvect_1(X2)
      | ~ v5_rlvect_1(X2)
      | ~ v6_rlvect_1(X2)
      | ~ v5_vectsp_2(X2,X1)
      | ~ l1_vectsp_2(X2,X1)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v4_group_1(X1)
      | ~ v7_group_1(X1)
      | ~ v6_vectsp_1(X1)
      | ~ v7_vectsp_1(X1)
      | ~ v8_vectsp_1(X1)
      | v10_vectsp_1(X1)
      | ~ v2_vectsp_2(X1)
      | ~ l3_vectsp_1(X1) ),
    inference(cnf_transformation,[],[f10226]) ).

fof(f10305,plain,
    ! [X2,X3,X0,X1] :
      ( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
      | ~ r1_rlvect_1(k1_rmod_5(X1,X2,X3),X0)
      | m2_rmod_4(sK3(X0,X1,X2,X3),X1,X2,X3)
      | v3_struct_0(X2)
      | ~ v3_rlvect_1(X2)
      | ~ v4_rlvect_1(X2)
      | ~ v5_rlvect_1(X2)
      | ~ v6_rlvect_1(X2)
      | ~ v5_vectsp_2(X2,X1)
      | ~ l1_vectsp_2(X2,X1)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v4_group_1(X1)
      | ~ v7_group_1(X1)
      | ~ v6_vectsp_1(X1)
      | ~ v7_vectsp_1(X1)
      | ~ v8_vectsp_1(X1)
      | v10_vectsp_1(X1)
      | ~ v2_vectsp_2(X1)
      | ~ l3_vectsp_1(X1) ),
    inference(cnf_transformation,[],[f10226]) ).

fof(f10308,plain,
    l3_vectsp_1(sK4),
    inference(cnf_transformation,[],[f10227]) ).

fof(f10309,plain,
    v2_vectsp_2(sK4),
    inference(cnf_transformation,[],[f10227]) ).

fof(f10310,plain,
    ~ v10_vectsp_1(sK4),
    inference(cnf_transformation,[],[f10227]) ).

fof(f10311,plain,
    v8_vectsp_1(sK4),
    inference(cnf_transformation,[],[f10227]) ).

fof(f10312,plain,
    v7_vectsp_1(sK4),
    inference(cnf_transformation,[],[f10227]) ).

fof(f10313,plain,
    v6_vectsp_1(sK4),
    inference(cnf_transformation,[],[f10227]) ).

fof(f10314,plain,
    v7_group_1(sK4),
    inference(cnf_transformation,[],[f10227]) ).

fof(f10315,plain,
    v4_group_1(sK4),
    inference(cnf_transformation,[],[f10227]) ).

fof(f10316,plain,
    v6_rlvect_1(sK4),
    inference(cnf_transformation,[],[f10227]) ).

fof(f10317,plain,
    v5_rlvect_1(sK4),
    inference(cnf_transformation,[],[f10227]) ).

fof(f10318,plain,
    v4_rlvect_1(sK4),
    inference(cnf_transformation,[],[f10227]) ).

fof(f10319,plain,
    v3_rlvect_1(sK4),
    inference(cnf_transformation,[],[f10227]) ).

fof(f10320,plain,
    ~ v3_struct_0(sK4),
    inference(cnf_transformation,[],[f10227]) ).

fof(f10321,plain,
    l1_vectsp_2(sK5,sK4),
    inference(cnf_transformation,[],[f10227]) ).

fof(f10322,plain,
    v5_vectsp_2(sK5,sK4),
    inference(cnf_transformation,[],[f10227]) ).

fof(f10323,plain,
    v6_rlvect_1(sK5),
    inference(cnf_transformation,[],[f10227]) ).

fof(f10324,plain,
    v5_rlvect_1(sK5),
    inference(cnf_transformation,[],[f10227]) ).

fof(f10325,plain,
    v4_rlvect_1(sK5),
    inference(cnf_transformation,[],[f10227]) ).

fof(f10326,plain,
    v3_rlvect_1(sK5),
    inference(cnf_transformation,[],[f10227]) ).

fof(f10327,plain,
    ~ v3_struct_0(sK5),
    inference(cnf_transformation,[],[f10227]) ).

fof(f10328,plain,
    k1_rmod_2(sK4,sK5) != k1_rmod_5(sK4,sK5,k1_subset_1(u1_struct_0(sK5))),
    inference(cnf_transformation,[],[f10227]) ).

fof(f10339,plain,
    ! [X2,X0,X1] :
      ( k1_rlvect_1(X1) = k5_rmod_4(X0,X1,X2)
      | ~ m2_rmod_4(X2,X0,X1,k1_subset_1(u1_struct_0(X1)))
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0)
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ l3_vectsp_1(X0) ),
    inference(cnf_transformation,[],[f10065]) ).

fof(f10348,plain,
    ! [X0] : k1_xboole_0 = k1_subset_1(X0),
    inference(cnf_transformation,[],[f481]) ).

fof(f10400,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | ~ m1_rmod_2(X2,X0,X1)
      | ~ m1_rmod_2(X1,X0,X2)
      | v3_struct_0(X2)
      | ~ v3_rlvect_1(X2)
      | ~ v4_rlvect_1(X2)
      | ~ v5_rlvect_1(X2)
      | ~ v6_rlvect_1(X2)
      | ~ v3_vectsp_2(X2,X0)
      | ~ v5_vectsp_2(X2,X0)
      | ~ l1_vectsp_2(X2,X0)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v3_vectsp_2(X1,X0)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0)
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ l3_vectsp_1(X0) ),
    inference(cnf_transformation,[],[f10102]) ).

fof(f10402,plain,
    ! [X0,X1] :
      ( v3_vectsp_2(sK22(X0,X1),X0)
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ l3_vectsp_1(X0)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0) ),
    inference(cnf_transformation,[],[f10253]) ).

fof(f10408,plain,
    ! [X0,X1] :
      ( ~ v8_vectsp_1(X0)
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | m1_rmod_2(sK22(X0,X1),X0,X1)
      | ~ l3_vectsp_1(X0)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0) ),
    inference(cnf_transformation,[],[f10253]) ).

fof(f10430,plain,
    ! [X2,X0,X1] :
      ( ~ v8_vectsp_1(X0)
      | ~ m1_rmod_2(X2,X0,X1)
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | l1_vectsp_2(X2,X0)
      | ~ l3_vectsp_1(X0)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0) ),
    inference(cnf_transformation,[],[f10114]) ).

fof(f10431,plain,
    ! [X2,X0,X1] :
      ( ~ v8_vectsp_1(X0)
      | ~ m1_rmod_2(X2,X0,X1)
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | v5_vectsp_2(X2,X0)
      | ~ l3_vectsp_1(X0)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0) ),
    inference(cnf_transformation,[],[f10114]) ).

fof(f10432,plain,
    ! [X2,X0,X1] :
      ( ~ v8_vectsp_1(X0)
      | ~ m1_rmod_2(X2,X0,X1)
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | v6_rlvect_1(X2)
      | ~ l3_vectsp_1(X0)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0) ),
    inference(cnf_transformation,[],[f10114]) ).

fof(f10433,plain,
    ! [X2,X0,X1] :
      ( v5_rlvect_1(X2)
      | ~ m1_rmod_2(X2,X0,X1)
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ l3_vectsp_1(X0)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0) ),
    inference(cnf_transformation,[],[f10114]) ).

fof(f10434,plain,
    ! [X2,X0,X1] :
      ( ~ v8_vectsp_1(X0)
      | ~ m1_rmod_2(X2,X0,X1)
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | v4_rlvect_1(X2)
      | ~ l3_vectsp_1(X0)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0) ),
    inference(cnf_transformation,[],[f10114]) ).

fof(f10435,plain,
    ! [X2,X0,X1] :
      ( ~ v8_vectsp_1(X0)
      | ~ m1_rmod_2(X2,X0,X1)
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | v3_rlvect_1(X2)
      | ~ l3_vectsp_1(X0)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0) ),
    inference(cnf_transformation,[],[f10114]) ).

fof(f10436,plain,
    ! [X2,X0,X1] :
      ( ~ v8_vectsp_1(X0)
      | ~ m1_rmod_2(X2,X0,X1)
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v3_struct_0(X2)
      | ~ l3_vectsp_1(X0)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0) ),
    inference(cnf_transformation,[],[f10114]) ).

fof(f10438,plain,
    ! [X2,X3,X0,X1] :
      ( ~ v8_vectsp_1(X0)
      | r1_rlvect_1(X2,sK27(X1,X2,X3))
      | ~ m1_rmod_2(X3,X0,X1)
      | ~ m1_rmod_2(X2,X0,X1)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0)
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | m1_rmod_2(X2,X0,X3)
      | ~ l3_vectsp_1(X0) ),
    inference(cnf_transformation,[],[f10258]) ).

fof(f10439,plain,
    ! [X2,X3,X0,X1] :
      ( ~ v8_vectsp_1(X0)
      | ~ r1_rlvect_1(X3,sK27(X1,X2,X3))
      | ~ m1_rmod_2(X3,X0,X1)
      | ~ m1_rmod_2(X2,X0,X1)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0)
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | m1_rmod_2(X2,X0,X3)
      | ~ l3_vectsp_1(X0) ),
    inference(cnf_transformation,[],[f10258]) ).

fof(f10444,plain,
    ! [X2,X3,X0,X1] :
      ( ~ v8_vectsp_1(X0)
      | ~ m1_rmod_2(X3,X0,X1)
      | ~ m1_rmod_2(X2,X0,X1)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0)
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | r1_rlvect_1(X3,k1_rlvect_1(X2))
      | ~ l3_vectsp_1(X0) ),
    inference(cnf_transformation,[],[f10126]) ).

fof(f10470,plain,
    ! [X0] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)),
    inference(cnf_transformation,[],[f486]) ).

fof(f10520,plain,
    ! [X0,X1] :
      ( ~ v8_vectsp_1(X0)
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | m1_rmod_2(k1_rmod_2(X0,X1),X0,X1)
      | ~ l3_vectsp_1(X0)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0) ),
    inference(cnf_transformation,[],[f10193]) ).

fof(f10521,plain,
    ! [X0,X1] :
      ( ~ v8_vectsp_1(X0)
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | v3_vectsp_2(k1_rmod_2(X0,X1),X0)
      | ~ l3_vectsp_1(X0)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0) ),
    inference(cnf_transformation,[],[f10193]) ).

fof(f10527,plain,
    ! [X2,X0,X1] :
      ( ~ v8_vectsp_1(X0)
      | ~ m1_rmod_2(X2,X0,X1)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0)
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | m1_rmod_2(k1_rmod_2(X0,X1),X0,X2)
      | ~ l3_vectsp_1(X0) ),
    inference(cnf_transformation,[],[f10203]) ).

fof(f10530,plain,
    ! [X2,X0,X1] :
      ( ~ v8_vectsp_1(X0)
      | ~ m1_rmod_2(X2,X0,X1)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0)
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | k1_rmod_2(X0,X1) = k1_rmod_2(X0,X2)
      | ~ l3_vectsp_1(X0) ),
    inference(cnf_transformation,[],[f10209]) ).

fof(f10531,plain,
    ! [X2,X0,X1] :
      ( ~ v8_vectsp_1(X1)
      | ~ r1_rlvect_1(k1_rmod_2(X1,X2),X0)
      | v3_struct_0(X2)
      | ~ v3_rlvect_1(X2)
      | ~ v4_rlvect_1(X2)
      | ~ v5_rlvect_1(X2)
      | ~ v6_rlvect_1(X2)
      | ~ v5_vectsp_2(X2,X1)
      | ~ l1_vectsp_2(X2,X1)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v4_group_1(X1)
      | ~ v6_vectsp_1(X1)
      | ~ v7_vectsp_1(X1)
      | k1_rlvect_1(X2) = X0
      | ~ l3_vectsp_1(X1) ),
    inference(cnf_transformation,[],[f10281]) ).

fof(f10532,plain,
    ! [X2,X0,X1] :
      ( r1_rlvect_1(k1_rmod_2(X1,X2),X0)
      | k1_rlvect_1(X2) != X0
      | v3_struct_0(X2)
      | ~ v3_rlvect_1(X2)
      | ~ v4_rlvect_1(X2)
      | ~ v5_rlvect_1(X2)
      | ~ v6_rlvect_1(X2)
      | ~ v5_vectsp_2(X2,X1)
      | ~ l1_vectsp_2(X2,X1)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v4_group_1(X1)
      | ~ v6_vectsp_1(X1)
      | ~ v7_vectsp_1(X1)
      | ~ v8_vectsp_1(X1)
      | ~ l3_vectsp_1(X1) ),
    inference(cnf_transformation,[],[f10281]) ).

fof(f10535,plain,
    ! [X2,X3,X0,X1] :
      ( r2_hidden(X0,a_2_0_rmod_5(X1,X2))
      | ~ m2_rmod_4(X3,X1,X2,k1_xboole_0)
      | k5_rmod_4(X1,X2,X3) != X0
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v4_group_1(X1)
      | ~ v7_group_1(X1)
      | ~ v6_vectsp_1(X1)
      | ~ v7_vectsp_1(X1)
      | ~ v8_vectsp_1(X1)
      | v10_vectsp_1(X1)
      | ~ v2_vectsp_2(X1)
      | ~ l3_vectsp_1(X1)
      | v3_struct_0(X2)
      | ~ v3_rlvect_1(X2)
      | ~ v4_rlvect_1(X2)
      | ~ v5_rlvect_1(X2)
      | ~ v6_rlvect_1(X2)
      | ~ v5_vectsp_2(X2,X1)
      | ~ l1_vectsp_2(X2,X1) ),
    inference(definition_unfolding,[],[f10285,f10348]) ).

fof(f10536,plain,
    ! [X2,X0,X1] :
      ( ~ v2_vectsp_2(X1)
      | ~ r2_hidden(X0,a_2_0_rmod_5(X1,X2))
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v4_group_1(X1)
      | ~ v7_group_1(X1)
      | ~ v6_vectsp_1(X1)
      | ~ v7_vectsp_1(X1)
      | ~ v8_vectsp_1(X1)
      | v10_vectsp_1(X1)
      | m2_rmod_4(sK0(X0,X1,X2),X1,X2,k1_xboole_0)
      | ~ l3_vectsp_1(X1)
      | v3_struct_0(X2)
      | ~ v3_rlvect_1(X2)
      | ~ v4_rlvect_1(X2)
      | ~ v5_rlvect_1(X2)
      | ~ v6_rlvect_1(X2)
      | ~ v5_vectsp_2(X2,X1)
      | ~ l1_vectsp_2(X2,X1) ),
    inference(definition_unfolding,[],[f10284,f10348]) ).

fof(f10538,plain,
    k1_rmod_2(sK4,sK5) != k1_rmod_5(sK4,sK5,k1_xboole_0),
    inference(definition_unfolding,[],[f10328,f10348]) ).

fof(f10539,plain,
    ! [X2,X0,X1] :
      ( ~ m2_rmod_4(X2,X0,X1,k1_xboole_0)
      | k1_rlvect_1(X1) = k5_rmod_4(X0,X1,X2)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0)
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ l3_vectsp_1(X0) ),
    inference(definition_unfolding,[],[f10339,f10348]) ).

fof(f10548,plain,
    ! [X2,X3,X1] :
      ( r2_hidden(k5_rmod_4(X1,X2,X3),a_2_0_rmod_5(X1,X2))
      | ~ m2_rmod_4(X3,X1,X2,k1_xboole_0)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v4_group_1(X1)
      | ~ v7_group_1(X1)
      | ~ v6_vectsp_1(X1)
      | ~ v7_vectsp_1(X1)
      | ~ v8_vectsp_1(X1)
      | v10_vectsp_1(X1)
      | ~ v2_vectsp_2(X1)
      | ~ l3_vectsp_1(X1)
      | v3_struct_0(X2)
      | ~ v3_rlvect_1(X2)
      | ~ v4_rlvect_1(X2)
      | ~ v5_rlvect_1(X2)
      | ~ v6_rlvect_1(X2)
      | ~ v5_vectsp_2(X2,X1)
      | ~ l1_vectsp_2(X2,X1) ),
    inference(equality_resolution,[],[f10535]) ).

fof(f10567,plain,
    ! [X2,X1] :
      ( r1_rlvect_1(k1_rmod_2(X1,X2),k1_rlvect_1(X2))
      | v3_struct_0(X2)
      | ~ v3_rlvect_1(X2)
      | ~ v4_rlvect_1(X2)
      | ~ v5_rlvect_1(X2)
      | ~ v6_rlvect_1(X2)
      | ~ v5_vectsp_2(X2,X1)
      | ~ l1_vectsp_2(X2,X1)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v4_group_1(X1)
      | ~ v6_vectsp_1(X1)
      | ~ v7_vectsp_1(X1)
      | ~ v8_vectsp_1(X1)
      | ~ l3_vectsp_1(X1) ),
    inference(equality_resolution,[],[f10532]) ).

fof(f10569,definition,
    sF36 = k1_rmod_2(sK4,sK5),
    introduced(definition,[new_symbols(definition,[sF36])],[function_definition]) ).

fof(f10570,plain,
    k1_rmod_2(sK4,sK5) = sF36,
    inference(reorient_equations,[],[f10569]) ).

fof(f10571,definition,
    sF37 = k1_rmod_5(sK4,sK5,k1_xboole_0),
    introduced(definition,[new_symbols(definition,[sF37])],[function_definition]) ).

fof(f10572,plain,
    k1_rmod_5(sK4,sK5,k1_xboole_0) = sF37,
    inference(reorient_equations,[],[f10571]) ).

fof(f10573,plain,
    sF36 != sF37,
    inference(definition_folding,[],[f10538,f10572,f10570]) ).

fof(f10589,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | ~ m1_rmod_2(X2,X0,X1)
      | ~ m1_rmod_2(X1,X0,X2)
      | ~ v3_rlvect_1(X2)
      | ~ v4_rlvect_1(X2)
      | ~ v5_rlvect_1(X2)
      | ~ v6_rlvect_1(X2)
      | ~ v3_vectsp_2(X2,X0)
      | ~ v5_vectsp_2(X2,X0)
      | ~ l1_vectsp_2(X2,X0)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v3_vectsp_2(X1,X0)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0)
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ l3_vectsp_1(X0) ),
    inference(forward_subsumption_resolution,[],[f10400,f10436]) ).

fof(f10681,definition,
    ( spl38_22
  <=> l3_vectsp_1(sK4) ),
    introduced(definition,[new_symbols(definition,[spl38_22])],[avatar_definition]) ).

fof(f10683,plain,
    ( l3_vectsp_1(sK4)
    | ~ spl38_22 ),
    inference(avatar_component_clause,[],[f10681]) ).

fof(f10684,plain,
    spl38_22,
    inference(avatar_split_clause,[],[f10308,f10681]) ).

fof(f10686,definition,
    ( spl38_23
  <=> v2_vectsp_2(sK4) ),
    introduced(definition,[new_symbols(definition,[spl38_23])],[avatar_definition]) ).

fof(f10688,plain,
    ( v2_vectsp_2(sK4)
    | ~ spl38_23 ),
    inference(avatar_component_clause,[],[f10686]) ).

fof(f10689,plain,
    spl38_23,
    inference(avatar_split_clause,[],[f10309,f10686]) ).

fof(f10691,definition,
    ( spl38_24
  <=> v10_vectsp_1(sK4) ),
    introduced(definition,[new_symbols(definition,[spl38_24])],[avatar_definition]) ).

fof(f10693,plain,
    ( ~ v10_vectsp_1(sK4)
    | spl38_24 ),
    inference(avatar_component_clause,[],[f10691]) ).

fof(f10694,plain,
    ~ spl38_24,
    inference(avatar_split_clause,[],[f10310,f10691]) ).

fof(f10696,definition,
    ( spl38_25
  <=> v8_vectsp_1(sK4) ),
    introduced(definition,[new_symbols(definition,[spl38_25])],[avatar_definition]) ).

fof(f10698,plain,
    ( v8_vectsp_1(sK4)
    | ~ spl38_25 ),
    inference(avatar_component_clause,[],[f10696]) ).

fof(f10699,plain,
    spl38_25,
    inference(avatar_split_clause,[],[f10311,f10696]) ).

fof(f10701,definition,
    ( spl38_26
  <=> v7_vectsp_1(sK4) ),
    introduced(definition,[new_symbols(definition,[spl38_26])],[avatar_definition]) ).

fof(f10703,plain,
    ( v7_vectsp_1(sK4)
    | ~ spl38_26 ),
    inference(avatar_component_clause,[],[f10701]) ).

fof(f10704,plain,
    spl38_26,
    inference(avatar_split_clause,[],[f10312,f10701]) ).

fof(f10706,definition,
    ( spl38_27
  <=> v6_vectsp_1(sK4) ),
    introduced(definition,[new_symbols(definition,[spl38_27])],[avatar_definition]) ).

fof(f10708,plain,
    ( v6_vectsp_1(sK4)
    | ~ spl38_27 ),
    inference(avatar_component_clause,[],[f10706]) ).

fof(f10709,plain,
    spl38_27,
    inference(avatar_split_clause,[],[f10313,f10706]) ).

fof(f10711,definition,
    ( spl38_28
  <=> v7_group_1(sK4) ),
    introduced(definition,[new_symbols(definition,[spl38_28])],[avatar_definition]) ).

fof(f10713,plain,
    ( v7_group_1(sK4)
    | ~ spl38_28 ),
    inference(avatar_component_clause,[],[f10711]) ).

fof(f10714,plain,
    spl38_28,
    inference(avatar_split_clause,[],[f10314,f10711]) ).

fof(f10716,definition,
    ( spl38_29
  <=> v4_group_1(sK4) ),
    introduced(definition,[new_symbols(definition,[spl38_29])],[avatar_definition]) ).

fof(f10718,plain,
    ( v4_group_1(sK4)
    | ~ spl38_29 ),
    inference(avatar_component_clause,[],[f10716]) ).

fof(f10719,plain,
    spl38_29,
    inference(avatar_split_clause,[],[f10315,f10716]) ).

fof(f10721,definition,
    ( spl38_30
  <=> v6_rlvect_1(sK4) ),
    introduced(definition,[new_symbols(definition,[spl38_30])],[avatar_definition]) ).

fof(f10723,plain,
    ( v6_rlvect_1(sK4)
    | ~ spl38_30 ),
    inference(avatar_component_clause,[],[f10721]) ).

fof(f10724,plain,
    spl38_30,
    inference(avatar_split_clause,[],[f10316,f10721]) ).

fof(f10726,definition,
    ( spl38_31
  <=> v5_rlvect_1(sK4) ),
    introduced(definition,[new_symbols(definition,[spl38_31])],[avatar_definition]) ).

fof(f10728,plain,
    ( v5_rlvect_1(sK4)
    | ~ spl38_31 ),
    inference(avatar_component_clause,[],[f10726]) ).

fof(f10729,plain,
    spl38_31,
    inference(avatar_split_clause,[],[f10317,f10726]) ).

fof(f10731,definition,
    ( spl38_32
  <=> v4_rlvect_1(sK4) ),
    introduced(definition,[new_symbols(definition,[spl38_32])],[avatar_definition]) ).

fof(f10733,plain,
    ( v4_rlvect_1(sK4)
    | ~ spl38_32 ),
    inference(avatar_component_clause,[],[f10731]) ).

fof(f10734,plain,
    spl38_32,
    inference(avatar_split_clause,[],[f10318,f10731]) ).

fof(f10736,definition,
    ( spl38_33
  <=> v3_rlvect_1(sK4) ),
    introduced(definition,[new_symbols(definition,[spl38_33])],[avatar_definition]) ).

fof(f10738,plain,
    ( v3_rlvect_1(sK4)
    | ~ spl38_33 ),
    inference(avatar_component_clause,[],[f10736]) ).

fof(f10739,plain,
    spl38_33,
    inference(avatar_split_clause,[],[f10319,f10736]) ).

fof(f10741,definition,
    ( spl38_34
  <=> v3_struct_0(sK4) ),
    introduced(definition,[new_symbols(definition,[spl38_34])],[avatar_definition]) ).

fof(f10743,plain,
    ( ~ v3_struct_0(sK4)
    | spl38_34 ),
    inference(avatar_component_clause,[],[f10741]) ).

fof(f10744,plain,
    ~ spl38_34,
    inference(avatar_split_clause,[],[f10320,f10741]) ).

fof(f10746,definition,
    ( spl38_35
  <=> l1_vectsp_2(sK5,sK4) ),
    introduced(definition,[new_symbols(definition,[spl38_35])],[avatar_definition]) ).

fof(f10748,plain,
    ( l1_vectsp_2(sK5,sK4)
    | ~ spl38_35 ),
    inference(avatar_component_clause,[],[f10746]) ).

fof(f10749,plain,
    spl38_35,
    inference(avatar_split_clause,[],[f10321,f10746]) ).

fof(f10751,definition,
    ( spl38_36
  <=> v5_vectsp_2(sK5,sK4) ),
    introduced(definition,[new_symbols(definition,[spl38_36])],[avatar_definition]) ).

fof(f10753,plain,
    ( v5_vectsp_2(sK5,sK4)
    | ~ spl38_36 ),
    inference(avatar_component_clause,[],[f10751]) ).

fof(f10754,plain,
    spl38_36,
    inference(avatar_split_clause,[],[f10322,f10751]) ).

fof(f10756,definition,
    ( spl38_37
  <=> v6_rlvect_1(sK5) ),
    introduced(definition,[new_symbols(definition,[spl38_37])],[avatar_definition]) ).

fof(f10758,plain,
    ( v6_rlvect_1(sK5)
    | ~ spl38_37 ),
    inference(avatar_component_clause,[],[f10756]) ).

fof(f10759,plain,
    spl38_37,
    inference(avatar_split_clause,[],[f10323,f10756]) ).

fof(f10761,definition,
    ( spl38_38
  <=> v5_rlvect_1(sK5) ),
    introduced(definition,[new_symbols(definition,[spl38_38])],[avatar_definition]) ).

fof(f10763,plain,
    ( v5_rlvect_1(sK5)
    | ~ spl38_38 ),
    inference(avatar_component_clause,[],[f10761]) ).

fof(f10764,plain,
    spl38_38,
    inference(avatar_split_clause,[],[f10324,f10761]) ).

fof(f10766,definition,
    ( spl38_39
  <=> v4_rlvect_1(sK5) ),
    introduced(definition,[new_symbols(definition,[spl38_39])],[avatar_definition]) ).

fof(f10768,plain,
    ( v4_rlvect_1(sK5)
    | ~ spl38_39 ),
    inference(avatar_component_clause,[],[f10766]) ).

fof(f10769,plain,
    spl38_39,
    inference(avatar_split_clause,[],[f10325,f10766]) ).

fof(f10771,definition,
    ( spl38_40
  <=> v3_rlvect_1(sK5) ),
    introduced(definition,[new_symbols(definition,[spl38_40])],[avatar_definition]) ).

fof(f10773,plain,
    ( v3_rlvect_1(sK5)
    | ~ spl38_40 ),
    inference(avatar_component_clause,[],[f10771]) ).

fof(f10774,plain,
    spl38_40,
    inference(avatar_split_clause,[],[f10326,f10771]) ).

fof(f10776,definition,
    ( spl38_41
  <=> v3_struct_0(sK5) ),
    introduced(definition,[new_symbols(definition,[spl38_41])],[avatar_definition]) ).

fof(f10778,plain,
    ( ~ v3_struct_0(sK5)
    | spl38_41 ),
    inference(avatar_component_clause,[],[f10776]) ).

fof(f10779,plain,
    ~ spl38_41,
    inference(avatar_split_clause,[],[f10327,f10776]) ).

fof(f10781,definition,
    ( spl38_42
  <=> sF36 = sF37 ),
    introduced(definition,[new_symbols(definition,[spl38_42])],[avatar_definition]) ).

fof(f10783,plain,
    ( sF36 != sF37
    | spl38_42 ),
    inference(avatar_component_clause,[],[f10781]) ).

fof(f10784,plain,
    ~ spl38_42,
    inference(avatar_split_clause,[],[f10573,f10781]) ).

fof(f10786,definition,
    ( spl38_43
  <=> k1_rmod_2(sK4,sK5) = sF36 ),
    introduced(definition,[new_symbols(definition,[spl38_43])],[avatar_definition]) ).

fof(f10788,plain,
    ( k1_rmod_2(sK4,sK5) = sF36
    | ~ spl38_43 ),
    inference(avatar_component_clause,[],[f10786]) ).

fof(f10789,plain,
    spl38_43,
    inference(avatar_split_clause,[],[f10570,f10786]) ).

fof(f10791,definition,
    ( spl38_44
  <=> k1_rmod_5(sK4,sK5,k1_xboole_0) = sF37 ),
    introduced(definition,[new_symbols(definition,[spl38_44])],[avatar_definition]) ).

fof(f10793,plain,
    ( k1_rmod_5(sK4,sK5,k1_xboole_0) = sF37
    | ~ spl38_44 ),
    inference(avatar_component_clause,[],[f10791]) ).

fof(f10794,plain,
    spl38_44,
    inference(avatar_split_clause,[],[f10572,f10791]) ).

fof(f10795,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | ~ m1_rmod_2(X2,X0,X1)
      | ~ m1_rmod_2(X1,X0,X2)
      | ~ v4_rlvect_1(X2)
      | ~ v5_rlvect_1(X2)
      | ~ v6_rlvect_1(X2)
      | ~ v3_vectsp_2(X2,X0)
      | ~ v5_vectsp_2(X2,X0)
      | ~ l1_vectsp_2(X2,X0)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v3_vectsp_2(X1,X0)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0)
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ l3_vectsp_1(X0) ),
    inference(forward_subsumption_resolution,[],[f10589,f10435]) ).

fof(f10796,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | ~ m1_rmod_2(X2,X0,X1)
      | ~ m1_rmod_2(X1,X0,X2)
      | ~ v5_rlvect_1(X2)
      | ~ v6_rlvect_1(X2)
      | ~ v3_vectsp_2(X2,X0)
      | ~ v5_vectsp_2(X2,X0)
      | ~ l1_vectsp_2(X2,X0)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v3_vectsp_2(X1,X0)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0)
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ l3_vectsp_1(X0) ),
    inference(forward_subsumption_resolution,[],[f10795,f10434]) ).

fof(f10797,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | ~ m1_rmod_2(X2,X0,X1)
      | ~ m1_rmod_2(X1,X0,X2)
      | ~ v6_rlvect_1(X2)
      | ~ v3_vectsp_2(X2,X0)
      | ~ v5_vectsp_2(X2,X0)
      | ~ l1_vectsp_2(X2,X0)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v3_vectsp_2(X1,X0)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0)
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ l3_vectsp_1(X0) ),
    inference(forward_subsumption_resolution,[],[f10796,f10433]) ).

fof(f10798,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | ~ m1_rmod_2(X2,X0,X1)
      | ~ m1_rmod_2(X1,X0,X2)
      | ~ v3_vectsp_2(X2,X0)
      | ~ v5_vectsp_2(X2,X0)
      | ~ l1_vectsp_2(X2,X0)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v3_vectsp_2(X1,X0)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0)
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ l3_vectsp_1(X0) ),
    inference(forward_subsumption_resolution,[],[f10797,f10432]) ).

fof(f10799,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | ~ m1_rmod_2(X2,X0,X1)
      | ~ m1_rmod_2(X1,X0,X2)
      | ~ v3_vectsp_2(X2,X0)
      | ~ l1_vectsp_2(X2,X0)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v3_vectsp_2(X1,X0)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0)
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | ~ l3_vectsp_1(X0) ),
    inference(forward_subsumption_resolution,[],[f10798,f10431]) ).

fof(f10800,plain,
    ! [X2,X0,X1] :
      ( ~ v8_vectsp_1(X0)
      | ~ m1_rmod_2(X2,X0,X1)
      | ~ m1_rmod_2(X1,X0,X2)
      | ~ v3_vectsp_2(X2,X0)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v3_vectsp_2(X1,X0)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0)
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | X1 = X2
      | ~ l3_vectsp_1(X0) ),
    inference(forward_subsumption_resolution,[],[f10799,f10430]) ).

fof(f10826,plain,
    ( v3_vectsp_2(k1_rmod_2(sK4,sK5),sK4)
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(unit_resulting_resolution,[],[f10521,f10773,f10778,f10758,f10763,f10768,f10748,f10753,f10683,f10698,f10703,f10708,f10718,f10723,f10728,f10733,f10738,f10743]) ).

fof(f10829,plain,
    ( v3_vectsp_2(sF36,sK4)
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_43 ),
    inference(forward_demodulation,[],[f10826,f10788]) ).

fof(f10832,definition,
    ( spl38_46
  <=> v3_vectsp_2(sF36,sK4) ),
    introduced(definition,[new_symbols(definition,[spl38_46])],[avatar_definition]) ).

fof(f10834,plain,
    ( v3_vectsp_2(sF36,sK4)
    | ~ spl38_46 ),
    inference(avatar_component_clause,[],[f10832]) ).

fof(f10835,plain,
    ( spl38_46
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_43 ),
    inference(avatar_split_clause,[],[f10829,f10786,f10776,f10771,f10766,f10761,f10756,f10751,f10746,f10741,f10736,f10731,f10726,f10721,f10716,f10706,f10701,f10696,f10681,f10832]) ).

fof(f10843,plain,
    ( m1_rmod_2(k1_rmod_2(sK4,sK5),sK4,sK5)
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(unit_resulting_resolution,[],[f10520,f10773,f10778,f10758,f10763,f10768,f10748,f10753,f10683,f10698,f10703,f10708,f10718,f10723,f10728,f10733,f10738,f10743]) ).

fof(f10846,plain,
    ( m1_rmod_2(sF36,sK4,sK5)
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_43 ),
    inference(forward_demodulation,[],[f10843,f10788]) ).

fof(f10849,definition,
    ( spl38_47
  <=> m1_rmod_2(sF36,sK4,sK5) ),
    introduced(definition,[new_symbols(definition,[spl38_47])],[avatar_definition]) ).

fof(f10851,plain,
    ( m1_rmod_2(sF36,sK4,sK5)
    | ~ spl38_47 ),
    inference(avatar_component_clause,[],[f10849]) ).

fof(f10852,plain,
    ( spl38_47
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_43 ),
    inference(avatar_split_clause,[],[f10846,f10786,f10776,f10771,f10766,f10761,f10756,f10751,f10746,f10741,f10736,f10731,f10726,f10721,f10716,f10706,f10701,f10696,f10681,f10849]) ).

fof(f10866,plain,
    ( k1_rmod_2(sK4,sK5) = k1_rmod_2(sK4,sF36)
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47 ),
    inference(unit_resulting_resolution,[],[f10530,f10683,f10698,f10703,f10708,f10718,f10723,f10728,f10733,f10738,f10743,f10773,f10778,f10758,f10763,f10768,f10748,f10753,f10851]) ).

fof(f10870,plain,
    ( sF36 = k1_rmod_2(sK4,sF36)
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_43
    | ~ spl38_47 ),
    inference(forward_demodulation,[],[f10866,f10788]) ).

fof(f10873,definition,
    ( spl38_49
  <=> sF36 = k1_rmod_2(sK4,sF36) ),
    introduced(definition,[new_symbols(definition,[spl38_49])],[avatar_definition]) ).

fof(f10875,plain,
    ( sF36 = k1_rmod_2(sK4,sF36)
    | ~ spl38_49 ),
    inference(avatar_component_clause,[],[f10873]) ).

fof(f10876,plain,
    ( spl38_49
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_43
    | ~ spl38_47 ),
    inference(avatar_split_clause,[],[f10870,f10849,f10786,f10776,f10771,f10766,f10761,f10756,f10751,f10746,f10741,f10736,f10731,f10726,f10721,f10716,f10706,f10701,f10696,f10681,f10873]) ).

fof(f10884,plain,
    ( r1_rlvect_1(sF36,k1_rlvect_1(sF36))
    | v3_struct_0(sF36)
    | ~ v3_rlvect_1(sF36)
    | ~ v4_rlvect_1(sF36)
    | ~ v5_rlvect_1(sF36)
    | ~ v6_rlvect_1(sF36)
    | ~ v5_vectsp_2(sF36,sK4)
    | ~ l1_vectsp_2(sF36,sK4)
    | v3_struct_0(sK4)
    | ~ v3_rlvect_1(sK4)
    | ~ v4_rlvect_1(sK4)
    | ~ v5_rlvect_1(sK4)
    | ~ v6_rlvect_1(sK4)
    | ~ v4_group_1(sK4)
    | ~ v6_vectsp_1(sK4)
    | ~ v7_vectsp_1(sK4)
    | ~ v8_vectsp_1(sK4)
    | ~ l3_vectsp_1(sK4)
    | ~ spl38_49 ),
    inference(superposition,[],[f10567,f10875]) ).

fof(f10885,plain,
    ( r1_rlvect_1(sF36,k1_rlvect_1(sF36))
    | v3_struct_0(sF36)
    | ~ v3_rlvect_1(sF36)
    | ~ v4_rlvect_1(sF36)
    | ~ v5_rlvect_1(sF36)
    | ~ v6_rlvect_1(sF36)
    | ~ v5_vectsp_2(sF36,sK4)
    | ~ l1_vectsp_2(sF36,sK4)
    | ~ v3_rlvect_1(sK4)
    | ~ v4_rlvect_1(sK4)
    | ~ v5_rlvect_1(sK4)
    | ~ v6_rlvect_1(sK4)
    | ~ v4_group_1(sK4)
    | ~ v6_vectsp_1(sK4)
    | ~ v7_vectsp_1(sK4)
    | ~ v8_vectsp_1(sK4)
    | ~ l3_vectsp_1(sK4)
    | spl38_34
    | ~ spl38_49 ),
    inference(forward_subsumption_resolution,[],[f10884,f10743]) ).

fof(f10886,plain,
    ( r1_rlvect_1(sF36,k1_rlvect_1(sF36))
    | v3_struct_0(sF36)
    | ~ v3_rlvect_1(sF36)
    | ~ v4_rlvect_1(sF36)
    | ~ v5_rlvect_1(sF36)
    | ~ v6_rlvect_1(sF36)
    | ~ v5_vectsp_2(sF36,sK4)
    | ~ l1_vectsp_2(sF36,sK4)
    | ~ v4_rlvect_1(sK4)
    | ~ v5_rlvect_1(sK4)
    | ~ v6_rlvect_1(sK4)
    | ~ v4_group_1(sK4)
    | ~ v6_vectsp_1(sK4)
    | ~ v7_vectsp_1(sK4)
    | ~ v8_vectsp_1(sK4)
    | ~ l3_vectsp_1(sK4)
    | ~ spl38_33
    | spl38_34
    | ~ spl38_49 ),
    inference(forward_subsumption_resolution,[],[f10885,f10738]) ).

fof(f10887,plain,
    ( r1_rlvect_1(sF36,k1_rlvect_1(sF36))
    | v3_struct_0(sF36)
    | ~ v3_rlvect_1(sF36)
    | ~ v4_rlvect_1(sF36)
    | ~ v5_rlvect_1(sF36)
    | ~ v6_rlvect_1(sF36)
    | ~ v5_vectsp_2(sF36,sK4)
    | ~ l1_vectsp_2(sF36,sK4)
    | ~ v5_rlvect_1(sK4)
    | ~ v6_rlvect_1(sK4)
    | ~ v4_group_1(sK4)
    | ~ v6_vectsp_1(sK4)
    | ~ v7_vectsp_1(sK4)
    | ~ v8_vectsp_1(sK4)
    | ~ l3_vectsp_1(sK4)
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_49 ),
    inference(forward_subsumption_resolution,[],[f10886,f10733]) ).

fof(f10888,plain,
    ( r1_rlvect_1(sF36,k1_rlvect_1(sF36))
    | v3_struct_0(sF36)
    | ~ v3_rlvect_1(sF36)
    | ~ v4_rlvect_1(sF36)
    | ~ v5_rlvect_1(sF36)
    | ~ v6_rlvect_1(sF36)
    | ~ v5_vectsp_2(sF36,sK4)
    | ~ l1_vectsp_2(sF36,sK4)
    | ~ v6_rlvect_1(sK4)
    | ~ v4_group_1(sK4)
    | ~ v6_vectsp_1(sK4)
    | ~ v7_vectsp_1(sK4)
    | ~ v8_vectsp_1(sK4)
    | ~ l3_vectsp_1(sK4)
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_49 ),
    inference(forward_subsumption_resolution,[],[f10887,f10728]) ).

fof(f10889,plain,
    ( r1_rlvect_1(sF36,k1_rlvect_1(sF36))
    | v3_struct_0(sF36)
    | ~ v3_rlvect_1(sF36)
    | ~ v4_rlvect_1(sF36)
    | ~ v5_rlvect_1(sF36)
    | ~ v6_rlvect_1(sF36)
    | ~ v5_vectsp_2(sF36,sK4)
    | ~ l1_vectsp_2(sF36,sK4)
    | ~ v4_group_1(sK4)
    | ~ v6_vectsp_1(sK4)
    | ~ v7_vectsp_1(sK4)
    | ~ v8_vectsp_1(sK4)
    | ~ l3_vectsp_1(sK4)
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_49 ),
    inference(forward_subsumption_resolution,[],[f10888,f10723]) ).

fof(f10890,plain,
    ( r1_rlvect_1(sF36,k1_rlvect_1(sF36))
    | v3_struct_0(sF36)
    | ~ v3_rlvect_1(sF36)
    | ~ v4_rlvect_1(sF36)
    | ~ v5_rlvect_1(sF36)
    | ~ v6_rlvect_1(sF36)
    | ~ v5_vectsp_2(sF36,sK4)
    | ~ l1_vectsp_2(sF36,sK4)
    | ~ v6_vectsp_1(sK4)
    | ~ v7_vectsp_1(sK4)
    | ~ v8_vectsp_1(sK4)
    | ~ l3_vectsp_1(sK4)
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_49 ),
    inference(forward_subsumption_resolution,[],[f10889,f10718]) ).

fof(f10891,plain,
    ( r1_rlvect_1(sF36,k1_rlvect_1(sF36))
    | v3_struct_0(sF36)
    | ~ v3_rlvect_1(sF36)
    | ~ v4_rlvect_1(sF36)
    | ~ v5_rlvect_1(sF36)
    | ~ v6_rlvect_1(sF36)
    | ~ v5_vectsp_2(sF36,sK4)
    | ~ l1_vectsp_2(sF36,sK4)
    | ~ v7_vectsp_1(sK4)
    | ~ v8_vectsp_1(sK4)
    | ~ l3_vectsp_1(sK4)
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_49 ),
    inference(forward_subsumption_resolution,[],[f10890,f10708]) ).

fof(f10892,plain,
    ( r1_rlvect_1(sF36,k1_rlvect_1(sF36))
    | v3_struct_0(sF36)
    | ~ v3_rlvect_1(sF36)
    | ~ v4_rlvect_1(sF36)
    | ~ v5_rlvect_1(sF36)
    | ~ v6_rlvect_1(sF36)
    | ~ v5_vectsp_2(sF36,sK4)
    | ~ l1_vectsp_2(sF36,sK4)
    | ~ v8_vectsp_1(sK4)
    | ~ l3_vectsp_1(sK4)
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_49 ),
    inference(forward_subsumption_resolution,[],[f10891,f10703]) ).

fof(f10893,plain,
    ( r1_rlvect_1(sF36,k1_rlvect_1(sF36))
    | v3_struct_0(sF36)
    | ~ v3_rlvect_1(sF36)
    | ~ v4_rlvect_1(sF36)
    | ~ v5_rlvect_1(sF36)
    | ~ v6_rlvect_1(sF36)
    | ~ v5_vectsp_2(sF36,sK4)
    | ~ l1_vectsp_2(sF36,sK4)
    | ~ l3_vectsp_1(sK4)
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_49 ),
    inference(forward_subsumption_resolution,[],[f10892,f10698]) ).

fof(f10894,plain,
    ( r1_rlvect_1(sF36,k1_rlvect_1(sF36))
    | v3_struct_0(sF36)
    | ~ v3_rlvect_1(sF36)
    | ~ v4_rlvect_1(sF36)
    | ~ v5_rlvect_1(sF36)
    | ~ v6_rlvect_1(sF36)
    | ~ v5_vectsp_2(sF36,sK4)
    | ~ l1_vectsp_2(sF36,sK4)
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_49 ),
    inference(forward_subsumption_resolution,[],[f10893,f10683]) ).

fof(f10896,definition,
    ( spl38_50
  <=> l1_vectsp_2(sF36,sK4) ),
    introduced(definition,[new_symbols(definition,[spl38_50])],[avatar_definition]) ).

fof(f10897,plain,
    ( l1_vectsp_2(sF36,sK4)
    | ~ spl38_50 ),
    inference(avatar_component_clause,[],[f10896]) ).

fof(f10898,plain,
    ( ~ l1_vectsp_2(sF36,sK4)
    | spl38_50 ),
    inference(avatar_component_clause,[],[f10896]) ).

fof(f10900,definition,
    ( spl38_51
  <=> v5_vectsp_2(sF36,sK4) ),
    introduced(definition,[new_symbols(definition,[spl38_51])],[avatar_definition]) ).

fof(f10901,plain,
    ( v5_vectsp_2(sF36,sK4)
    | ~ spl38_51 ),
    inference(avatar_component_clause,[],[f10900]) ).

fof(f10902,plain,
    ( ~ v5_vectsp_2(sF36,sK4)
    | spl38_51 ),
    inference(avatar_component_clause,[],[f10900]) ).

fof(f10904,definition,
    ( spl38_52
  <=> v6_rlvect_1(sF36) ),
    introduced(definition,[new_symbols(definition,[spl38_52])],[avatar_definition]) ).

fof(f10905,plain,
    ( v6_rlvect_1(sF36)
    | ~ spl38_52 ),
    inference(avatar_component_clause,[],[f10904]) ).

fof(f10906,plain,
    ( ~ v6_rlvect_1(sF36)
    | spl38_52 ),
    inference(avatar_component_clause,[],[f10904]) ).

fof(f10908,definition,
    ( spl38_53
  <=> v5_rlvect_1(sF36) ),
    introduced(definition,[new_symbols(definition,[spl38_53])],[avatar_definition]) ).

fof(f10909,plain,
    ( v5_rlvect_1(sF36)
    | ~ spl38_53 ),
    inference(avatar_component_clause,[],[f10908]) ).

fof(f10912,definition,
    ( spl38_54
  <=> v4_rlvect_1(sF36) ),
    introduced(definition,[new_symbols(definition,[spl38_54])],[avatar_definition]) ).

fof(f10913,plain,
    ( v4_rlvect_1(sF36)
    | ~ spl38_54 ),
    inference(avatar_component_clause,[],[f10912]) ).

fof(f10914,plain,
    ( ~ v4_rlvect_1(sF36)
    | spl38_54 ),
    inference(avatar_component_clause,[],[f10912]) ).

fof(f10916,definition,
    ( spl38_55
  <=> v3_rlvect_1(sF36) ),
    introduced(definition,[new_symbols(definition,[spl38_55])],[avatar_definition]) ).

fof(f10917,plain,
    ( v3_rlvect_1(sF36)
    | ~ spl38_55 ),
    inference(avatar_component_clause,[],[f10916]) ).

fof(f10918,plain,
    ( ~ v3_rlvect_1(sF36)
    | spl38_55 ),
    inference(avatar_component_clause,[],[f10916]) ).

fof(f10920,definition,
    ( spl38_56
  <=> v3_struct_0(sF36) ),
    introduced(definition,[new_symbols(definition,[spl38_56])],[avatar_definition]) ).

fof(f10921,plain,
    ( ~ v3_struct_0(sF36)
    | spl38_56 ),
    inference(avatar_component_clause,[],[f10920]) ).

fof(f10922,plain,
    ( v3_struct_0(sF36)
    | ~ spl38_56 ),
    inference(avatar_component_clause,[],[f10920]) ).

fof(f10924,definition,
    ( spl38_57
  <=> r1_rlvect_1(sF36,k1_rlvect_1(sF36)) ),
    introduced(definition,[new_symbols(definition,[spl38_57])],[avatar_definition]) ).

fof(f10926,plain,
    ( r1_rlvect_1(sF36,k1_rlvect_1(sF36))
    | ~ spl38_57 ),
    inference(avatar_component_clause,[],[f10924]) ).

fof(f10927,plain,
    ( ~ spl38_50
    | ~ spl38_51
    | ~ spl38_52
    | ~ spl38_53
    | ~ spl38_54
    | ~ spl38_55
    | spl38_56
    | spl38_57
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_49 ),
    inference(avatar_split_clause,[],[f10894,f10873,f10741,f10736,f10731,f10726,f10721,f10716,f10706,f10701,f10696,f10681,f10924,f10920,f10916,f10912,f10908,f10904,f10900,f10896]) ).

fof(f10964,plain,
    ( ! [X0,X1] :
        ( ~ r1_rlvect_1(k1_rmod_2(sK4,X0),X1)
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK4)
        | ~ l1_vectsp_2(X0,sK4)
        | v3_struct_0(sK4)
        | ~ v3_rlvect_1(sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | k1_rlvect_1(X0) = X1
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_25 ),
    inference(resolution,[],[f10531,f10698]) ).

fof(f10965,plain,
    ( ! [X0,X1] :
        ( ~ r1_rlvect_1(k1_rmod_2(sK4,X0),X1)
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK4)
        | ~ l1_vectsp_2(X0,sK4)
        | ~ v3_rlvect_1(sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | k1_rlvect_1(X0) = X1
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_25
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f10964,f10743]) ).

fof(f10966,plain,
    ( ! [X0,X1] :
        ( ~ r1_rlvect_1(k1_rmod_2(sK4,X0),X1)
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK4)
        | ~ l1_vectsp_2(X0,sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | k1_rlvect_1(X0) = X1
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_25
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f10965,f10738]) ).

fof(f10967,plain,
    ( ! [X0,X1] :
        ( ~ r1_rlvect_1(k1_rmod_2(sK4,X0),X1)
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK4)
        | ~ l1_vectsp_2(X0,sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | k1_rlvect_1(X0) = X1
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_25
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f10966,f10733]) ).

fof(f10968,plain,
    ( ! [X0,X1] :
        ( ~ r1_rlvect_1(k1_rmod_2(sK4,X0),X1)
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK4)
        | ~ l1_vectsp_2(X0,sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | k1_rlvect_1(X0) = X1
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_25
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f10967,f10728]) ).

fof(f10969,plain,
    ( ! [X0,X1] :
        ( ~ r1_rlvect_1(k1_rmod_2(sK4,X0),X1)
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK4)
        | ~ l1_vectsp_2(X0,sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | k1_rlvect_1(X0) = X1
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_25
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f10968,f10723]) ).

fof(f10970,plain,
    ( ! [X0,X1] :
        ( ~ r1_rlvect_1(k1_rmod_2(sK4,X0),X1)
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK4)
        | ~ l1_vectsp_2(X0,sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | k1_rlvect_1(X0) = X1
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_25
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f10969,f10718]) ).

fof(f10971,plain,
    ( ! [X0,X1] :
        ( ~ r1_rlvect_1(k1_rmod_2(sK4,X0),X1)
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK4)
        | ~ l1_vectsp_2(X0,sK4)
        | ~ v7_vectsp_1(sK4)
        | k1_rlvect_1(X0) = X1
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_25
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f10970,f10708]) ).

fof(f10972,plain,
    ( ! [X0,X1] :
        ( ~ r1_rlvect_1(k1_rmod_2(sK4,X0),X1)
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK4)
        | ~ l1_vectsp_2(X0,sK4)
        | k1_rlvect_1(X0) = X1
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f10971,f10703]) ).

fof(f10973,plain,
    ( ! [X0,X1] :
        ( ~ v5_vectsp_2(X0,sK4)
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ r1_rlvect_1(k1_rmod_2(sK4,X0),X1)
        | ~ l1_vectsp_2(X0,sK4)
        | k1_rlvect_1(X0) = X1 )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f10972,f10683]) ).

fof(f10974,plain,
    ( ! [X0] :
        ( v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ r1_rlvect_1(k1_rmod_2(sK4,sK5),X0)
        | ~ l1_vectsp_2(sK5,sK4)
        | k1_rlvect_1(sK5) = X0 )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_36 ),
    inference(resolution,[],[f10973,f10753]) ).

fof(f10975,plain,
    ( ! [X0] :
        ( ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ r1_rlvect_1(k1_rmod_2(sK4,sK5),X0)
        | ~ l1_vectsp_2(sK5,sK4)
        | k1_rlvect_1(sK5) = X0 )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_36
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f10974,f10778]) ).

fof(f10976,plain,
    ( ! [X0] :
        ( ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ r1_rlvect_1(k1_rmod_2(sK4,sK5),X0)
        | ~ l1_vectsp_2(sK5,sK4)
        | k1_rlvect_1(sK5) = X0 )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_36
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f10975,f10773]) ).

fof(f10977,plain,
    ( ! [X0] :
        ( ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ r1_rlvect_1(k1_rmod_2(sK4,sK5),X0)
        | ~ l1_vectsp_2(sK5,sK4)
        | k1_rlvect_1(sK5) = X0 )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_36
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f10976,f10768]) ).

fof(f10978,plain,
    ( ! [X0] :
        ( ~ v6_rlvect_1(sK5)
        | ~ r1_rlvect_1(k1_rmod_2(sK4,sK5),X0)
        | ~ l1_vectsp_2(sK5,sK4)
        | k1_rlvect_1(sK5) = X0 )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_36
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f10977,f10763]) ).

fof(f10979,plain,
    ( ! [X0] :
        ( ~ r1_rlvect_1(k1_rmod_2(sK4,sK5),X0)
        | ~ l1_vectsp_2(sK5,sK4)
        | k1_rlvect_1(sK5) = X0 )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f10978,f10758]) ).

fof(f10980,plain,
    ( ! [X0] :
        ( ~ r1_rlvect_1(k1_rmod_2(sK4,sK5),X0)
        | k1_rlvect_1(sK5) = X0 )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f10979,f10748]) ).

fof(f10981,plain,
    ( ! [X0] :
        ( ~ r1_rlvect_1(sF36,X0)
        | k1_rlvect_1(sK5) = X0 )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_43 ),
    inference(forward_demodulation,[],[f10980,f10788]) ).

fof(f10984,plain,
    ( m1_rmod_2(k1_rmod_2(sK4,sK5),sK4,sF36)
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47 ),
    inference(unit_resulting_resolution,[],[f10527,f10683,f10698,f10703,f10708,f10718,f10723,f10728,f10733,f10738,f10743,f10773,f10778,f10758,f10763,f10768,f10748,f10753,f10851]) ).

fof(f10986,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK4,X1)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4)
        | v3_struct_0(sK4)
        | ~ v3_rlvect_1(sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | m1_rmod_2(k1_rmod_2(sK4,X1),sK4,X0)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_25 ),
    inference(resolution,[],[f10527,f10698]) ).

fof(f10987,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK4,X1)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4)
        | ~ v3_rlvect_1(sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | m1_rmod_2(k1_rmod_2(sK4,X1),sK4,X0)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_25
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f10986,f10743]) ).

fof(f10988,plain,
    ( m1_rmod_2(sF36,sK4,sF36)
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_43
    | ~ spl38_47 ),
    inference(forward_demodulation,[],[f10984,f10788]) ).

fof(f10990,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK4,X1)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | m1_rmod_2(k1_rmod_2(sK4,X1),sK4,X0)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_25
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f10987,f10738]) ).

fof(f10992,definition,
    ( spl38_58
  <=> m1_rmod_2(sF36,sK4,sF36) ),
    introduced(definition,[new_symbols(definition,[spl38_58])],[avatar_definition]) ).

fof(f10994,plain,
    ( m1_rmod_2(sF36,sK4,sF36)
    | ~ spl38_58 ),
    inference(avatar_component_clause,[],[f10992]) ).

fof(f10995,plain,
    ( spl38_58
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_43
    | ~ spl38_47 ),
    inference(avatar_split_clause,[],[f10988,f10849,f10786,f10776,f10771,f10766,f10761,f10756,f10751,f10746,f10741,f10736,f10731,f10726,f10721,f10716,f10706,f10701,f10696,f10681,f10992]) ).

fof(f10996,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK4,X1)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | m1_rmod_2(k1_rmod_2(sK4,X1),sK4,X0)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_25
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f10990,f10733]) ).

fof(f10997,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK4,X1)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | m1_rmod_2(k1_rmod_2(sK4,X1),sK4,X0)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_25
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f10996,f10728]) ).

fof(f10998,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK4,X1)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | m1_rmod_2(k1_rmod_2(sK4,X1),sK4,X0)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_25
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f10997,f10723]) ).

fof(f10999,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK4,X1)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | m1_rmod_2(k1_rmod_2(sK4,X1),sK4,X0)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_25
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f10998,f10718]) ).

fof(f11000,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK4,X1)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4)
        | ~ v7_vectsp_1(sK4)
        | m1_rmod_2(k1_rmod_2(sK4,X1),sK4,X0)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_25
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f10999,f10708]) ).

fof(f11001,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK4,X1)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4)
        | m1_rmod_2(k1_rmod_2(sK4,X1),sK4,X0)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f11000,f10703]) ).

fof(f11002,plain,
    ( ! [X0,X1] :
        ( ~ v5_vectsp_2(X1,sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ m1_rmod_2(X0,sK4,X1)
        | ~ l1_vectsp_2(X1,sK4)
        | m1_rmod_2(k1_rmod_2(sK4,X1),sK4,X0) )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f11001,f10683]) ).

fof(f11120,plain,
    ( ~ v4_rlvect_1(sK4)
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47
    | spl38_50 ),
    inference(unit_resulting_resolution,[],[f10430,f10738,f10758,f10763,f10768,f10773,f10778,f10683,f10743,f10703,f10708,f10718,f10723,f10728,f10748,f10753,f10898,f10851,f10698]) ).

fof(f11162,plain,
    ( $false
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47
    | spl38_50 ),
    inference(forward_subsumption_resolution,[],[f11120,f10733]) ).

fof(f11163,plain,
    ( ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47
    | spl38_50 ),
    inference(avatar_contradiction_clause,[],[f11162]) ).

fof(f11186,plain,
    ( ! [X0,X1] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,X1))
        | v3_struct_0(sK4)
        | ~ v3_rlvect_1(sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | m2_rmod_4(sK0(X0,sK4,X1),sK4,X1,k1_xboole_0)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4) )
    | ~ spl38_23 ),
    inference(resolution,[],[f10536,f10688]) ).

fof(f11187,plain,
    ( ! [X0,X1] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,X1))
        | ~ v3_rlvect_1(sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | m2_rmod_4(sK0(X0,sK4,X1),sK4,X1,k1_xboole_0)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4) )
    | ~ spl38_23
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f11186,f10743]) ).

fof(f11188,plain,
    ( ! [X0,X1] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,X1))
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | m2_rmod_4(sK0(X0,sK4,X1),sK4,X1,k1_xboole_0)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4) )
    | ~ spl38_23
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f11187,f10738]) ).

fof(f11189,plain,
    ( ! [X0,X1] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,X1))
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | m2_rmod_4(sK0(X0,sK4,X1),sK4,X1,k1_xboole_0)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4) )
    | ~ spl38_23
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f11188,f10733]) ).

fof(f11190,plain,
    ( ! [X0,X1] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,X1))
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | m2_rmod_4(sK0(X0,sK4,X1),sK4,X1,k1_xboole_0)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4) )
    | ~ spl38_23
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f11189,f10728]) ).

fof(f11191,plain,
    ( ! [X0,X1] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,X1))
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | m2_rmod_4(sK0(X0,sK4,X1),sK4,X1,k1_xboole_0)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4) )
    | ~ spl38_23
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f11190,f10723]) ).

fof(f11192,plain,
    ( ! [X0,X1] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,X1))
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | m2_rmod_4(sK0(X0,sK4,X1),sK4,X1,k1_xboole_0)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4) )
    | ~ spl38_23
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f11191,f10718]) ).

fof(f11193,plain,
    ( ! [X0,X1] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,X1))
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | m2_rmod_4(sK0(X0,sK4,X1),sK4,X1,k1_xboole_0)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4) )
    | ~ spl38_23
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f11192,f10713]) ).

fof(f11194,plain,
    ( ! [X0,X1] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,X1))
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | m2_rmod_4(sK0(X0,sK4,X1),sK4,X1,k1_xboole_0)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4) )
    | ~ spl38_23
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f11193,f10708]) ).

fof(f11195,plain,
    ( ! [X0,X1] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,X1))
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | m2_rmod_4(sK0(X0,sK4,X1),sK4,X1,k1_xboole_0)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4) )
    | ~ spl38_23
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f11194,f10703]) ).

fof(f11196,plain,
    ( ! [X0,X1] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,X1))
        | v10_vectsp_1(sK4)
        | m2_rmod_4(sK0(X0,sK4,X1),sK4,X1,k1_xboole_0)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4) )
    | ~ spl38_23
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f11195,f10698]) ).

fof(f11197,plain,
    ( ! [X0,X1] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,X1))
        | m2_rmod_4(sK0(X0,sK4,X1),sK4,X1,k1_xboole_0)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4) )
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f11196,f10693]) ).

fof(f11198,plain,
    ( ! [X0,X1] :
        ( ~ v5_vectsp_2(X1,sK4)
        | m2_rmod_4(sK0(X0,sK4,X1),sK4,X1,k1_xboole_0)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ r2_hidden(X0,a_2_0_rmod_5(sK4,X1))
        | ~ l1_vectsp_2(X1,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f11197,f10683]) ).

fof(f11199,plain,
    ( ! [X0] :
        ( m2_rmod_4(sK0(X0,sK4,sK5),sK4,sK5,k1_xboole_0)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ r2_hidden(X0,a_2_0_rmod_5(sK4,sK5))
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_36 ),
    inference(resolution,[],[f11198,f10753]) ).

fof(f11200,plain,
    ( ! [X0] :
        ( m2_rmod_4(sK0(X0,sK4,sK5),sK4,sK5,k1_xboole_0)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ r2_hidden(X0,a_2_0_rmod_5(sK4,sK5))
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_36
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11199,f10778]) ).

fof(f11201,plain,
    ( ! [X0] :
        ( m2_rmod_4(sK0(X0,sK4,sK5),sK4,sK5,k1_xboole_0)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ r2_hidden(X0,a_2_0_rmod_5(sK4,sK5))
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_36
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11200,f10773]) ).

fof(f11202,plain,
    ( ! [X0] :
        ( m2_rmod_4(sK0(X0,sK4,sK5),sK4,sK5,k1_xboole_0)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ r2_hidden(X0,a_2_0_rmod_5(sK4,sK5))
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_36
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11201,f10768]) ).

fof(f11203,plain,
    ( ! [X0] :
        ( m2_rmod_4(sK0(X0,sK4,sK5),sK4,sK5,k1_xboole_0)
        | ~ v6_rlvect_1(sK5)
        | ~ r2_hidden(X0,a_2_0_rmod_5(sK4,sK5))
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_36
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11202,f10763]) ).

fof(f11204,plain,
    ( ! [X0] :
        ( m2_rmod_4(sK0(X0,sK4,sK5),sK4,sK5,k1_xboole_0)
        | ~ r2_hidden(X0,a_2_0_rmod_5(sK4,sK5))
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11203,f10758]) ).

fof(f11205,plain,
    ( ! [X0] :
        ( m2_rmod_4(sK0(X0,sK4,sK5),sK4,sK5,k1_xboole_0)
        | ~ r2_hidden(X0,a_2_0_rmod_5(sK4,sK5)) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11204,f10748]) ).

fof(f11206,plain,
    ( ! [X0] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,sK5))
        | k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(X0,sK4,sK5))
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4)
        | v3_struct_0(sK4)
        | ~ v3_rlvect_1(sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(resolution,[],[f11205,f10539]) ).

fof(f11207,plain,
    ( ! [X0] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,sK5))
        | k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(X0,sK4,sK5))
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4)
        | v3_struct_0(sK4)
        | ~ v3_rlvect_1(sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11206,f10778]) ).

fof(f11208,plain,
    ( ! [X0] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,sK5))
        | k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(X0,sK4,sK5))
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4)
        | v3_struct_0(sK4)
        | ~ v3_rlvect_1(sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11207,f10773]) ).

fof(f11209,plain,
    ( ! [X0] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,sK5))
        | k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(X0,sK4,sK5))
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4)
        | v3_struct_0(sK4)
        | ~ v3_rlvect_1(sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11208,f10768]) ).

fof(f11210,plain,
    ( ! [X0] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,sK5))
        | k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(X0,sK4,sK5))
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4)
        | v3_struct_0(sK4)
        | ~ v3_rlvect_1(sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11209,f10763]) ).

fof(f11211,plain,
    ( ! [X0] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,sK5))
        | k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(X0,sK4,sK5))
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4)
        | v3_struct_0(sK4)
        | ~ v3_rlvect_1(sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11210,f10758]) ).

fof(f11212,plain,
    ( ! [X0] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,sK5))
        | k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(X0,sK4,sK5))
        | ~ l1_vectsp_2(sK5,sK4)
        | v3_struct_0(sK4)
        | ~ v3_rlvect_1(sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11211,f10753]) ).

fof(f11213,plain,
    ( ! [X0] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,sK5))
        | k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(X0,sK4,sK5))
        | v3_struct_0(sK4)
        | ~ v3_rlvect_1(sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11212,f10748]) ).

fof(f11214,plain,
    ( ! [X0] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,sK5))
        | k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(X0,sK4,sK5))
        | ~ v3_rlvect_1(sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11213,f10743]) ).

fof(f11215,plain,
    ( ! [X0] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,sK5))
        | k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(X0,sK4,sK5))
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11214,f10738]) ).

fof(f11216,plain,
    ( ! [X0] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,sK5))
        | k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(X0,sK4,sK5))
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11215,f10733]) ).

fof(f11217,plain,
    ( ! [X0] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,sK5))
        | k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(X0,sK4,sK5))
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11216,f10728]) ).

fof(f11218,plain,
    ( ! [X0] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,sK5))
        | k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(X0,sK4,sK5))
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11217,f10723]) ).

fof(f11219,plain,
    ( ! [X0] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,sK5))
        | k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(X0,sK4,sK5))
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11218,f10718]) ).

fof(f11220,plain,
    ( ! [X0] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,sK5))
        | k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(X0,sK4,sK5))
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11219,f10708]) ).

fof(f11221,plain,
    ( ! [X0] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,sK5))
        | k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(X0,sK4,sK5))
        | ~ v8_vectsp_1(sK4)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11220,f10703]) ).

fof(f11222,plain,
    ( ! [X0] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,sK5))
        | k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(X0,sK4,sK5))
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11221,f10698]) ).

fof(f11223,plain,
    ( ! [X0] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,sK5))
        | k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(X0,sK4,sK5)) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11222,f10683]) ).

fof(f11255,plain,
    ( ~ v4_rlvect_1(sK4)
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47
    | spl38_51 ),
    inference(unit_resulting_resolution,[],[f10431,f10738,f10758,f10763,f10768,f10773,f10778,f10683,f10743,f10703,f10708,f10718,f10723,f10728,f10748,f10753,f10902,f10851,f10698]) ).

fof(f11297,plain,
    ( $false
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47
    | spl38_51 ),
    inference(forward_subsumption_resolution,[],[f11255,f10733]) ).

fof(f11298,plain,
    ( ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47
    | spl38_51 ),
    inference(avatar_contradiction_clause,[],[f11297]) ).

fof(f11355,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | v3_struct_0(sK4)
        | ~ v3_rlvect_1(sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(resolution,[],[f11223,f10548]) ).

fof(f11356,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v3_rlvect_1(sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11355,f10743]) ).

fof(f11357,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11356,f10738]) ).

fof(f11358,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11357,f10733]) ).

fof(f11359,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11358,f10728]) ).

fof(f11360,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11359,f10723]) ).

fof(f11361,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11360,f10718]) ).

fof(f11362,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11361,f10713]) ).

fof(f11363,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11362,f10708]) ).

fof(f11364,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11363,f10703]) ).

fof(f11365,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | v10_vectsp_1(sK4)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11364,f10698]) ).

fof(f11366,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11365,f10693]) ).

fof(f11367,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11366,f10688]) ).

fof(f11368,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11367,f10683]) ).

fof(f11369,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11368,f10778]) ).

fof(f11370,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11369,f10773]) ).

fof(f11371,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11370,f10768]) ).

fof(f11372,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11371,f10763]) ).

fof(f11373,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11372,f10758]) ).

fof(f11374,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11373,f10753]) ).

fof(f11375,plain,
    ( ! [X0] :
        ( ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5)) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11374,f10748]) ).

fof(f11386,plain,
    ( ! [X0] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,sK5))
        | k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK0(X0,sK4,sK5)),sK4,sK5)) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(resolution,[],[f11375,f11205]) ).

fof(f11390,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK4,X1)
        | ~ m1_rmod_2(X1,sK4,X0)
        | ~ v3_vectsp_2(X0,sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v3_vectsp_2(X1,sK4)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4)
        | v3_struct_0(sK4)
        | ~ v3_rlvect_1(sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | X0 = X1
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_25 ),
    inference(resolution,[],[f10800,f10698]) ).

fof(f11391,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK4,X1)
        | ~ m1_rmod_2(X1,sK4,X0)
        | ~ v3_vectsp_2(X0,sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v3_vectsp_2(X1,sK4)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4)
        | ~ v3_rlvect_1(sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | X0 = X1
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_25
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f11390,f10743]) ).

fof(f11392,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK4,X1)
        | ~ m1_rmod_2(X1,sK4,X0)
        | ~ v3_vectsp_2(X0,sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v3_vectsp_2(X1,sK4)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | X0 = X1
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_25
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f11391,f10738]) ).

fof(f11393,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK4,X1)
        | ~ m1_rmod_2(X1,sK4,X0)
        | ~ v3_vectsp_2(X0,sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v3_vectsp_2(X1,sK4)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | X0 = X1
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_25
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f11392,f10733]) ).

fof(f11394,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK4,X1)
        | ~ m1_rmod_2(X1,sK4,X0)
        | ~ v3_vectsp_2(X0,sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v3_vectsp_2(X1,sK4)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | X0 = X1
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_25
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f11393,f10728]) ).

fof(f11395,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK4,X1)
        | ~ m1_rmod_2(X1,sK4,X0)
        | ~ v3_vectsp_2(X0,sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v3_vectsp_2(X1,sK4)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | X0 = X1
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_25
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f11394,f10723]) ).

fof(f11396,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK4,X1)
        | ~ m1_rmod_2(X1,sK4,X0)
        | ~ v3_vectsp_2(X0,sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v3_vectsp_2(X1,sK4)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | X0 = X1
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_25
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f11395,f10718]) ).

fof(f11397,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK4,X1)
        | ~ m1_rmod_2(X1,sK4,X0)
        | ~ v3_vectsp_2(X0,sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v3_vectsp_2(X1,sK4)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4)
        | ~ v7_vectsp_1(sK4)
        | X0 = X1
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_25
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f11396,f10708]) ).

fof(f11398,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK4,X1)
        | ~ m1_rmod_2(X1,sK4,X0)
        | ~ v3_vectsp_2(X0,sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v3_vectsp_2(X1,sK4)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4)
        | X0 = X1
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f11397,f10703]) ).

fof(f11399,plain,
    ( ! [X0,X1] :
        ( ~ v5_vectsp_2(X1,sK4)
        | ~ m1_rmod_2(X1,sK4,X0)
        | ~ v3_vectsp_2(X0,sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v3_vectsp_2(X1,sK4)
        | ~ m1_rmod_2(X0,sK4,X1)
        | ~ l1_vectsp_2(X1,sK4)
        | X0 = X1 )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f11398,f10683]) ).

fof(f11412,plain,
    ( v5_rlvect_1(sF36)
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47 ),
    inference(unit_resulting_resolution,[],[f10433,f10738,f10743,f10758,f10763,f10768,f10773,f10778,f10683,f10698,f10703,f10708,f10718,f10723,f10728,f10733,f10748,f10753,f10851]) ).

fof(f11414,plain,
    ( spl38_53
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47 ),
    inference(avatar_split_clause,[],[f11412,f10849,f10776,f10771,f10766,f10761,f10756,f10751,f10746,f10741,f10736,f10731,f10726,f10721,f10716,f10706,f10701,f10696,f10681,f10908]) ).

fof(f11416,plain,
    ( ! [X0] :
        ( v3_struct_0(sK4)
        | ~ v3_rlvect_1(sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | m1_rmod_2(sK22(sK4,X0),sK4,X0)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK4)
        | ~ l1_vectsp_2(X0,sK4) )
    | ~ spl38_25 ),
    inference(resolution,[],[f10408,f10698]) ).

fof(f11417,plain,
    ( ! [X0] :
        ( ~ v3_rlvect_1(sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | m1_rmod_2(sK22(sK4,X0),sK4,X0)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK4)
        | ~ l1_vectsp_2(X0,sK4) )
    | ~ spl38_25
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f11416,f10743]) ).

fof(f11423,plain,
    ( ! [X0] :
        ( ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | m1_rmod_2(sK22(sK4,X0),sK4,X0)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK4)
        | ~ l1_vectsp_2(X0,sK4) )
    | ~ spl38_25
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f11417,f10738]) ).

fof(f11424,plain,
    ( ! [X0] :
        ( ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | m1_rmod_2(sK22(sK4,X0),sK4,X0)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK4)
        | ~ l1_vectsp_2(X0,sK4) )
    | ~ spl38_25
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f11423,f10733]) ).

fof(f11425,plain,
    ( ! [X0] :
        ( ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | m1_rmod_2(sK22(sK4,X0),sK4,X0)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK4)
        | ~ l1_vectsp_2(X0,sK4) )
    | ~ spl38_25
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f11424,f10728]) ).

fof(f11426,plain,
    ( ! [X0] :
        ( ~ v4_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | m1_rmod_2(sK22(sK4,X0),sK4,X0)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK4)
        | ~ l1_vectsp_2(X0,sK4) )
    | ~ spl38_25
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f11425,f10723]) ).

fof(f11427,plain,
    ( ! [X0] :
        ( ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | m1_rmod_2(sK22(sK4,X0),sK4,X0)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK4)
        | ~ l1_vectsp_2(X0,sK4) )
    | ~ spl38_25
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f11426,f10718]) ).

fof(f11428,plain,
    ( ! [X0] :
        ( ~ v7_vectsp_1(sK4)
        | m1_rmod_2(sK22(sK4,X0),sK4,X0)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK4)
        | ~ l1_vectsp_2(X0,sK4) )
    | ~ spl38_25
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f11427,f10708]) ).

fof(f11429,plain,
    ( ! [X0] :
        ( m1_rmod_2(sK22(sK4,X0),sK4,X0)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK4)
        | ~ l1_vectsp_2(X0,sK4) )
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f11428,f10703]) ).

fof(f11430,plain,
    ( ! [X0] :
        ( ~ v5_vectsp_2(X0,sK4)
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | m1_rmod_2(sK22(sK4,X0),sK4,X0)
        | ~ l1_vectsp_2(X0,sK4) )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f11429,f10683]) ).

fof(f11433,plain,
    ( v3_struct_0(sF36)
    | ~ v3_rlvect_1(sF36)
    | ~ v4_rlvect_1(sF36)
    | ~ v5_rlvect_1(sF36)
    | ~ v6_rlvect_1(sF36)
    | m1_rmod_2(sK22(sK4,sF36),sK4,sF36)
    | ~ l1_vectsp_2(sF36,sK4)
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_51 ),
    inference(resolution,[],[f11430,f10901]) ).

fof(f11452,plain,
    ( ~ v3_rlvect_1(sK4)
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47
    | spl38_52 ),
    inference(unit_resulting_resolution,[],[f10432,f10743,f10758,f10763,f10768,f10773,f10778,f10683,f10906,f10703,f10708,f10718,f10723,f10728,f10733,f10748,f10753,f10851,f10698]) ).

fof(f11494,plain,
    ( $false
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47
    | spl38_52 ),
    inference(forward_subsumption_resolution,[],[f11452,f10738]) ).

fof(f11495,plain,
    ( ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47
    | spl38_52 ),
    inference(avatar_contradiction_clause,[],[f11494]) ).

fof(f11522,plain,
    ( ~ v3_rlvect_1(sK4)
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47
    | spl38_54 ),
    inference(unit_resulting_resolution,[],[f10434,f10743,f10758,f10763,f10768,f10773,f10778,f10683,f10914,f10703,f10708,f10718,f10723,f10728,f10733,f10748,f10753,f10851,f10698]) ).

fof(f11564,plain,
    ( $false
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47
    | spl38_54 ),
    inference(forward_subsumption_resolution,[],[f11522,f10738]) ).

fof(f11565,plain,
    ( ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47
    | spl38_54 ),
    inference(avatar_contradiction_clause,[],[f11564]) ).

fof(f11592,plain,
    ( ~ v3_rlvect_1(sK4)
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47
    | spl38_55 ),
    inference(unit_resulting_resolution,[],[f10435,f10743,f10758,f10763,f10768,f10773,f10778,f10683,f10918,f10703,f10708,f10718,f10723,f10728,f10733,f10748,f10753,f10851,f10698]) ).

fof(f11634,plain,
    ( $false
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47
    | spl38_55 ),
    inference(forward_subsumption_resolution,[],[f11592,f10738]) ).

fof(f11635,plain,
    ( ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47
    | spl38_55 ),
    inference(avatar_contradiction_clause,[],[f11634]) ).

fof(f11653,plain,
    ( v3_struct_0(sF36)
    | ~ v4_rlvect_1(sF36)
    | ~ v5_rlvect_1(sF36)
    | ~ v6_rlvect_1(sF36)
    | m1_rmod_2(sK22(sK4,sF36),sK4,sF36)
    | ~ l1_vectsp_2(sF36,sK4)
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_51
    | ~ spl38_55 ),
    inference(forward_subsumption_resolution,[],[f11433,f10917]) ).

fof(f11663,plain,
    ( v3_struct_0(sF36)
    | ~ v5_rlvect_1(sF36)
    | ~ v6_rlvect_1(sF36)
    | m1_rmod_2(sK22(sK4,sF36),sK4,sF36)
    | ~ l1_vectsp_2(sF36,sK4)
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_51
    | ~ spl38_54
    | ~ spl38_55 ),
    inference(forward_subsumption_resolution,[],[f11653,f10913]) ).

fof(f11673,plain,
    ( v3_struct_0(sF36)
    | ~ v6_rlvect_1(sF36)
    | m1_rmod_2(sK22(sK4,sF36),sK4,sF36)
    | ~ l1_vectsp_2(sF36,sK4)
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_51
    | ~ spl38_53
    | ~ spl38_54
    | ~ spl38_55 ),
    inference(forward_subsumption_resolution,[],[f11663,f10909]) ).

fof(f11683,plain,
    ( v3_struct_0(sF36)
    | m1_rmod_2(sK22(sK4,sF36),sK4,sF36)
    | ~ l1_vectsp_2(sF36,sK4)
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_51
    | ~ spl38_52
    | ~ spl38_53
    | ~ spl38_54
    | ~ spl38_55 ),
    inference(forward_subsumption_resolution,[],[f11673,f10905]) ).

fof(f11693,plain,
    ( v3_struct_0(sF36)
    | m1_rmod_2(sK22(sK4,sF36),sK4,sF36)
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_50
    | ~ spl38_51
    | ~ spl38_52
    | ~ spl38_53
    | ~ spl38_54
    | ~ spl38_55 ),
    inference(forward_subsumption_resolution,[],[f11683,f10897]) ).

fof(f11714,definition,
    ( spl38_68
  <=> m1_rmod_2(sK22(sK4,sF36),sK4,sF36) ),
    introduced(definition,[new_symbols(definition,[spl38_68])],[avatar_definition]) ).

fof(f11716,plain,
    ( m1_rmod_2(sK22(sK4,sF36),sK4,sF36)
    | ~ spl38_68 ),
    inference(avatar_component_clause,[],[f11714]) ).

fof(f11717,plain,
    ( spl38_68
    | spl38_56
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_50
    | ~ spl38_51
    | ~ spl38_52
    | ~ spl38_53
    | ~ spl38_54
    | ~ spl38_55 ),
    inference(avatar_split_clause,[],[f11693,f10916,f10912,f10908,f10904,f10900,f10896,f10741,f10736,f10731,f10726,f10721,f10716,f10706,f10701,f10696,f10681,f10920,f11714]) ).

fof(f11735,plain,
    ( k1_rlvect_1(sK5) = k1_rlvect_1(sF36)
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_43
    | ~ spl38_57 ),
    inference(resolution,[],[f10926,f10981]) ).

fof(f11737,definition,
    ( spl38_73
  <=> k1_rlvect_1(sK5) = k1_rlvect_1(sF36) ),
    introduced(definition,[new_symbols(definition,[spl38_73])],[avatar_definition]) ).

fof(f11739,plain,
    ( k1_rlvect_1(sK5) = k1_rlvect_1(sF36)
    | ~ spl38_73 ),
    inference(avatar_component_clause,[],[f11737]) ).

fof(f11740,plain,
    ( spl38_73
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_43
    | ~ spl38_57 ),
    inference(avatar_split_clause,[],[f11735,f10924,f10786,f10776,f10771,f10766,f10761,f10756,f10751,f10746,f10741,f10736,f10731,f10726,f10721,f10716,f10706,f10701,f10696,f10681,f11737]) ).

fof(f11766,plain,
    ( ! [X0] :
        ( v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ m1_rmod_2(X0,sK4,sK5)
        | ~ l1_vectsp_2(sK5,sK4)
        | m1_rmod_2(k1_rmod_2(sK4,sK5),sK4,X0) )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_36 ),
    inference(resolution,[],[f11002,f10753]) ).

fof(f11767,plain,
    ( ! [X0] :
        ( v3_struct_0(sF36)
        | ~ v3_rlvect_1(sF36)
        | ~ v4_rlvect_1(sF36)
        | ~ v5_rlvect_1(sF36)
        | ~ v6_rlvect_1(sF36)
        | ~ m1_rmod_2(X0,sK4,sF36)
        | ~ l1_vectsp_2(sF36,sK4)
        | m1_rmod_2(k1_rmod_2(sK4,sF36),sK4,X0) )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_51 ),
    inference(resolution,[],[f11002,f10901]) ).

fof(f11768,plain,
    ( ! [X0] :
        ( ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ m1_rmod_2(X0,sK4,sK5)
        | ~ l1_vectsp_2(sK5,sK4)
        | m1_rmod_2(k1_rmod_2(sK4,sK5),sK4,X0) )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_36
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11766,f10778]) ).

fof(f11771,plain,
    ( ! [X0] :
        ( ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ m1_rmod_2(X0,sK4,sK5)
        | ~ l1_vectsp_2(sK5,sK4)
        | m1_rmod_2(k1_rmod_2(sK4,sK5),sK4,X0) )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_36
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11768,f10773]) ).

fof(f11772,plain,
    ( ! [X0] :
        ( ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ m1_rmod_2(X0,sK4,sK5)
        | ~ l1_vectsp_2(sK5,sK4)
        | m1_rmod_2(k1_rmod_2(sK4,sK5),sK4,X0) )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_36
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11771,f10768]) ).

fof(f11773,plain,
    ( ! [X0] :
        ( ~ v6_rlvect_1(sK5)
        | ~ m1_rmod_2(X0,sK4,sK5)
        | ~ l1_vectsp_2(sK5,sK4)
        | m1_rmod_2(k1_rmod_2(sK4,sK5),sK4,X0) )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_36
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11772,f10763]) ).

fof(f11774,plain,
    ( ! [X0] :
        ( ~ m1_rmod_2(X0,sK4,sK5)
        | ~ l1_vectsp_2(sK5,sK4)
        | m1_rmod_2(k1_rmod_2(sK4,sK5),sK4,X0) )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11773,f10758]) ).

fof(f11775,plain,
    ( ! [X0] :
        ( ~ m1_rmod_2(X0,sK4,sK5)
        | m1_rmod_2(k1_rmod_2(sK4,sK5),sK4,X0) )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f11774,f10748]) ).

fof(f11776,plain,
    ( ! [X0] :
        ( ~ m1_rmod_2(X0,sK4,sK5)
        | m1_rmod_2(sF36,sK4,X0) )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_43 ),
    inference(forward_demodulation,[],[f11775,f10788]) ).

fof(f12005,plain,
    ( ~ v3_rlvect_1(sK4)
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47
    | ~ spl38_56 ),
    inference(unit_resulting_resolution,[],[f10436,f10743,f10758,f10763,f10768,f10773,f10778,f10683,f10922,f10703,f10708,f10718,f10723,f10728,f10733,f10748,f10753,f10851,f10698]) ).

fof(f12048,plain,
    ( $false
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47
    | ~ spl38_56 ),
    inference(forward_subsumption_resolution,[],[f12005,f10738]) ).

fof(f12049,plain,
    ( ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47
    | ~ spl38_56 ),
    inference(avatar_contradiction_clause,[],[f12048]) ).

fof(f12058,plain,
    ( ! [X0] :
        ( ~ v3_rlvect_1(sF36)
        | ~ v4_rlvect_1(sF36)
        | ~ v5_rlvect_1(sF36)
        | ~ v6_rlvect_1(sF36)
        | ~ m1_rmod_2(X0,sK4,sF36)
        | ~ l1_vectsp_2(sF36,sK4)
        | m1_rmod_2(k1_rmod_2(sK4,sF36),sK4,X0) )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_51
    | spl38_56 ),
    inference(forward_subsumption_resolution,[],[f11767,f10921]) ).

fof(f12065,plain,
    ( ! [X0] :
        ( ~ v4_rlvect_1(sF36)
        | ~ v5_rlvect_1(sF36)
        | ~ v6_rlvect_1(sF36)
        | ~ m1_rmod_2(X0,sK4,sF36)
        | ~ l1_vectsp_2(sF36,sK4)
        | m1_rmod_2(k1_rmod_2(sK4,sF36),sK4,X0) )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_51
    | ~ spl38_55
    | spl38_56 ),
    inference(forward_subsumption_resolution,[],[f12058,f10917]) ).

fof(f12072,plain,
    ( ! [X0] :
        ( ~ v5_rlvect_1(sF36)
        | ~ v6_rlvect_1(sF36)
        | ~ m1_rmod_2(X0,sK4,sF36)
        | ~ l1_vectsp_2(sF36,sK4)
        | m1_rmod_2(k1_rmod_2(sK4,sF36),sK4,X0) )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_51
    | ~ spl38_54
    | ~ spl38_55
    | spl38_56 ),
    inference(forward_subsumption_resolution,[],[f12065,f10913]) ).

fof(f12079,plain,
    ( ! [X0] :
        ( ~ v6_rlvect_1(sF36)
        | ~ m1_rmod_2(X0,sK4,sF36)
        | ~ l1_vectsp_2(sF36,sK4)
        | m1_rmod_2(k1_rmod_2(sK4,sF36),sK4,X0) )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_51
    | ~ spl38_53
    | ~ spl38_54
    | ~ spl38_55
    | spl38_56 ),
    inference(forward_subsumption_resolution,[],[f12072,f10909]) ).

fof(f12086,plain,
    ( ! [X0] :
        ( ~ m1_rmod_2(X0,sK4,sF36)
        | ~ l1_vectsp_2(sF36,sK4)
        | m1_rmod_2(k1_rmod_2(sK4,sF36),sK4,X0) )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_51
    | ~ spl38_52
    | ~ spl38_53
    | ~ spl38_54
    | ~ spl38_55
    | spl38_56 ),
    inference(forward_subsumption_resolution,[],[f12079,f10905]) ).

fof(f12093,plain,
    ( ! [X0] :
        ( ~ m1_rmod_2(X0,sK4,sF36)
        | m1_rmod_2(k1_rmod_2(sK4,sF36),sK4,X0) )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_50
    | ~ spl38_51
    | ~ spl38_52
    | ~ spl38_53
    | ~ spl38_54
    | ~ spl38_55
    | spl38_56 ),
    inference(forward_subsumption_resolution,[],[f12086,f10897]) ).

fof(f12100,plain,
    ( ! [X0] :
        ( ~ m1_rmod_2(X0,sK4,sF36)
        | m1_rmod_2(sF36,sK4,X0) )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_49
    | ~ spl38_50
    | ~ spl38_51
    | ~ spl38_52
    | ~ spl38_53
    | ~ spl38_54
    | ~ spl38_55
    | spl38_56 ),
    inference(forward_demodulation,[],[f12093,f10875]) ).

fof(f12111,plain,
    ( v3_vectsp_2(sK22(sK4,sF36),sK4)
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_50
    | ~ spl38_51
    | ~ spl38_52
    | ~ spl38_53
    | ~ spl38_54
    | ~ spl38_55
    | spl38_56 ),
    inference(unit_resulting_resolution,[],[f10402,f10708,f10718,f10723,f10728,f10733,f10738,f10743,f10683,f10698,f10703,f10897,f10901,f10905,f10909,f10913,f10917,f10921]) ).

fof(f12162,definition,
    ( spl38_81
  <=> v3_vectsp_2(sK22(sK4,sF36),sK4) ),
    introduced(definition,[new_symbols(definition,[spl38_81])],[avatar_definition]) ).

fof(f12164,plain,
    ( v3_vectsp_2(sK22(sK4,sF36),sK4)
    | ~ spl38_81 ),
    inference(avatar_component_clause,[],[f12162]) ).

fof(f12165,plain,
    ( spl38_81
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_50
    | ~ spl38_51
    | ~ spl38_52
    | ~ spl38_53
    | ~ spl38_54
    | ~ spl38_55
    | spl38_56 ),
    inference(avatar_split_clause,[],[f12111,f10920,f10916,f10912,f10908,f10904,f10900,f10896,f10741,f10736,f10731,f10726,f10721,f10716,f10706,f10701,f10696,f10681,f12162]) ).

fof(f12267,plain,
    ( m1_rmod_2(k1_rmod_5(sK4,sK5,k1_xboole_0),sK4,sK5)
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(unit_resulting_resolution,[],[f10289,f10743,f10773,f10778,f10758,f10763,f10768,f10748,f10753,f10683,f10688,f10693,f10698,f10703,f10708,f10713,f10718,f10723,f10728,f10733,f10738,f10470]) ).

fof(f12269,plain,
    ( v3_vectsp_2(k1_rmod_5(sK4,sK5,k1_xboole_0),sK4)
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(unit_resulting_resolution,[],[f10290,f10743,f10773,f10778,f10758,f10763,f10768,f10748,f10753,f10683,f10688,f10693,f10698,f10703,f10708,f10713,f10718,f10723,f10728,f10733,f10738,f10470]) ).

fof(f12275,plain,
    ! [X2,X0,X1] :
      ( ~ v2_vectsp_2(X0)
      | k5_rmod_4(X0,X1,sK3(X2,X0,X1,k1_xboole_0)) = X2
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0)
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v7_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | v10_vectsp_1(X0)
      | ~ r1_rlvect_1(k1_rmod_5(X0,X1,k1_xboole_0),X2)
      | ~ l3_vectsp_1(X0) ),
    inference(resolution,[],[f10470,f10304]) ).

fof(f12276,plain,
    ! [X2,X0,X1] :
      ( ~ v2_vectsp_2(X0)
      | m2_rmod_4(sK3(X2,X0,X1,k1_xboole_0),X0,X1,k1_xboole_0)
      | v3_struct_0(X1)
      | ~ v3_rlvect_1(X1)
      | ~ v4_rlvect_1(X1)
      | ~ v5_rlvect_1(X1)
      | ~ v6_rlvect_1(X1)
      | ~ v5_vectsp_2(X1,X0)
      | ~ l1_vectsp_2(X1,X0)
      | v3_struct_0(X0)
      | ~ v3_rlvect_1(X0)
      | ~ v4_rlvect_1(X0)
      | ~ v5_rlvect_1(X0)
      | ~ v6_rlvect_1(X0)
      | ~ v4_group_1(X0)
      | ~ v7_group_1(X0)
      | ~ v6_vectsp_1(X0)
      | ~ v7_vectsp_1(X0)
      | ~ v8_vectsp_1(X0)
      | v10_vectsp_1(X0)
      | ~ r1_rlvect_1(k1_rmod_5(X0,X1,k1_xboole_0),X2)
      | ~ l3_vectsp_1(X0) ),
    inference(resolution,[],[f10470,f10305]) ).

fof(f12284,plain,
    ( m1_rmod_2(sF37,sK4,sK5)
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_44 ),
    inference(forward_demodulation,[],[f12267,f10793]) ).

fof(f12290,plain,
    ( v3_vectsp_2(sF37,sK4)
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_44 ),
    inference(forward_demodulation,[],[f12269,f10793]) ).

fof(f12307,definition,
    ( spl38_90
  <=> m1_rmod_2(sF37,sK4,sK5) ),
    introduced(definition,[new_symbols(definition,[spl38_90])],[avatar_definition]) ).

fof(f12309,plain,
    ( m1_rmod_2(sF37,sK4,sK5)
    | ~ spl38_90 ),
    inference(avatar_component_clause,[],[f12307]) ).

fof(f12310,plain,
    ( spl38_90
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_44 ),
    inference(avatar_split_clause,[],[f12284,f10791,f10776,f10771,f10766,f10761,f10756,f10751,f10746,f10741,f10736,f10731,f10726,f10721,f10716,f10711,f10706,f10701,f10696,f10691,f10686,f10681,f12307]) ).

fof(f12312,definition,
    ( spl38_91
  <=> v3_vectsp_2(sF37,sK4) ),
    introduced(definition,[new_symbols(definition,[spl38_91])],[avatar_definition]) ).

fof(f12314,plain,
    ( v3_vectsp_2(sF37,sK4)
    | ~ spl38_91 ),
    inference(avatar_component_clause,[],[f12312]) ).

fof(f12315,plain,
    ( spl38_91
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_44 ),
    inference(avatar_split_clause,[],[f12290,f10791,f10776,f10771,f10766,f10761,f10756,f10751,f10746,f10741,f10736,f10731,f10726,f10721,f10716,f10711,f10706,f10701,f10696,f10691,f10686,f10681,f12312]) ).

fof(f12375,plain,
    ( m1_rmod_2(sF36,sK4,sF37)
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_43
    | ~ spl38_90 ),
    inference(resolution,[],[f12309,f11776]) ).

fof(f12389,definition,
    ( spl38_94
  <=> m1_rmod_2(sF36,sK4,sF37) ),
    introduced(definition,[new_symbols(definition,[spl38_94])],[avatar_definition]) ).

fof(f12391,plain,
    ( m1_rmod_2(sF36,sK4,sF37)
    | ~ spl38_94 ),
    inference(avatar_component_clause,[],[f12389]) ).

fof(f12392,plain,
    ( spl38_94
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_43
    | ~ spl38_90 ),
    inference(avatar_split_clause,[],[f12375,f12307,f10786,f10776,f10771,f10766,f10761,f10756,f10751,f10746,f10741,f10736,f10731,f10726,f10721,f10716,f10706,f10701,f10696,f10681,f12389]) ).

fof(f12628,plain,
    ( ~ m1_rmod_2(sF37,sK4,sF36)
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | spl38_42
    | ~ spl38_46
    | ~ spl38_50
    | ~ spl38_51
    | ~ spl38_52
    | ~ spl38_53
    | ~ spl38_54
    | ~ spl38_55
    | spl38_56
    | ~ spl38_91
    | ~ spl38_94 ),
    inference(unit_resulting_resolution,[],[f10800,f10683,f10913,f10703,f10708,f10718,f10723,f10728,f10733,f10738,f10743,f10917,f10921,f10698,f10905,f10909,f10783,f10897,f10901,f10834,f12314,f12391]) ).

fof(f12630,definition,
    ( spl38_111
  <=> m1_rmod_2(sF37,sK4,sF36) ),
    introduced(definition,[new_symbols(definition,[spl38_111])],[avatar_definition]) ).

fof(f12632,plain,
    ( ~ m1_rmod_2(sF37,sK4,sF36)
    | spl38_111 ),
    inference(avatar_component_clause,[],[f12630]) ).

fof(f12633,plain,
    ( ~ spl38_111
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | spl38_42
    | ~ spl38_46
    | ~ spl38_50
    | ~ spl38_51
    | ~ spl38_52
    | ~ spl38_53
    | ~ spl38_54
    | ~ spl38_55
    | spl38_56
    | ~ spl38_91
    | ~ spl38_94 ),
    inference(avatar_split_clause,[],[f12628,f12389,f12312,f10920,f10916,f10912,f10908,f10904,f10900,f10896,f10832,f10781,f10741,f10736,f10731,f10726,f10721,f10716,f10706,f10701,f10696,f10681,f12630]) ).

fof(f13060,plain,
    ( ! [X0,X1] :
        ( m2_rmod_4(sK3(X0,sK4,X1,k1_xboole_0),sK4,X1,k1_xboole_0)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4)
        | v3_struct_0(sK4)
        | ~ v3_rlvect_1(sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,X1,k1_xboole_0),X0)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_23 ),
    inference(resolution,[],[f12276,f10688]) ).

fof(f13061,plain,
    ( ! [X0,X1] :
        ( m2_rmod_4(sK3(X0,sK4,X1,k1_xboole_0),sK4,X1,k1_xboole_0)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4)
        | ~ v3_rlvect_1(sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,X1,k1_xboole_0),X0)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_23
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f13060,f10743]) ).

fof(f13062,plain,
    ( ! [X0,X1] :
        ( m2_rmod_4(sK3(X0,sK4,X1,k1_xboole_0),sK4,X1,k1_xboole_0)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,X1,k1_xboole_0),X0)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_23
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f13061,f10738]) ).

fof(f13063,plain,
    ( ! [X0,X1] :
        ( m2_rmod_4(sK3(X0,sK4,X1,k1_xboole_0),sK4,X1,k1_xboole_0)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,X1,k1_xboole_0),X0)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_23
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f13062,f10733]) ).

fof(f13064,plain,
    ( ! [X0,X1] :
        ( m2_rmod_4(sK3(X0,sK4,X1,k1_xboole_0),sK4,X1,k1_xboole_0)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,X1,k1_xboole_0),X0)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_23
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f13063,f10728]) ).

fof(f13065,plain,
    ( ! [X0,X1] :
        ( m2_rmod_4(sK3(X0,sK4,X1,k1_xboole_0),sK4,X1,k1_xboole_0)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,X1,k1_xboole_0),X0)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_23
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f13064,f10723]) ).

fof(f13066,plain,
    ( ! [X0,X1] :
        ( m2_rmod_4(sK3(X0,sK4,X1,k1_xboole_0),sK4,X1,k1_xboole_0)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,X1,k1_xboole_0),X0)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_23
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f13065,f10718]) ).

fof(f13067,plain,
    ( ! [X0,X1] :
        ( m2_rmod_4(sK3(X0,sK4,X1,k1_xboole_0),sK4,X1,k1_xboole_0)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,X1,k1_xboole_0),X0)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_23
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f13066,f10713]) ).

fof(f13068,plain,
    ( ! [X0,X1] :
        ( m2_rmod_4(sK3(X0,sK4,X1,k1_xboole_0),sK4,X1,k1_xboole_0)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,X1,k1_xboole_0),X0)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_23
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f13067,f10708]) ).

fof(f13069,plain,
    ( ! [X0,X1] :
        ( m2_rmod_4(sK3(X0,sK4,X1,k1_xboole_0),sK4,X1,k1_xboole_0)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,X1,k1_xboole_0),X0)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_23
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f13068,f10703]) ).

fof(f13070,plain,
    ( ! [X0,X1] :
        ( m2_rmod_4(sK3(X0,sK4,X1,k1_xboole_0),sK4,X1,k1_xboole_0)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4)
        | v10_vectsp_1(sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,X1,k1_xboole_0),X0)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_23
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f13069,f10698]) ).

fof(f13071,plain,
    ( ! [X0,X1] :
        ( m2_rmod_4(sK3(X0,sK4,X1,k1_xboole_0),sK4,X1,k1_xboole_0)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,X1,k1_xboole_0),X0)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f13070,f10693]) ).

fof(f13072,plain,
    ( ! [X0,X1] :
        ( m2_rmod_4(sK3(X0,sK4,X1,k1_xboole_0),sK4,X1,k1_xboole_0)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,X1,k1_xboole_0),X0) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f13071,f10683]) ).

fof(f13232,plain,
    ( ! [X0,X1] :
        ( k5_rmod_4(sK4,X0,sK3(X1,sK4,X0,k1_xboole_0)) = X1
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK4)
        | ~ l1_vectsp_2(X0,sK4)
        | v3_struct_0(sK4)
        | ~ v3_rlvect_1(sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,X0,k1_xboole_0),X1)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_23 ),
    inference(resolution,[],[f12275,f10688]) ).

fof(f13233,plain,
    ( ! [X0,X1] :
        ( k5_rmod_4(sK4,X0,sK3(X1,sK4,X0,k1_xboole_0)) = X1
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK4)
        | ~ l1_vectsp_2(X0,sK4)
        | ~ v3_rlvect_1(sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,X0,k1_xboole_0),X1)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_23
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f13232,f10743]) ).

fof(f13234,plain,
    ( ! [X0,X1] :
        ( k5_rmod_4(sK4,X0,sK3(X1,sK4,X0,k1_xboole_0)) = X1
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK4)
        | ~ l1_vectsp_2(X0,sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,X0,k1_xboole_0),X1)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_23
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f13233,f10738]) ).

fof(f13235,plain,
    ( ! [X0,X1] :
        ( k5_rmod_4(sK4,X0,sK3(X1,sK4,X0,k1_xboole_0)) = X1
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK4)
        | ~ l1_vectsp_2(X0,sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,X0,k1_xboole_0),X1)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_23
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f13234,f10733]) ).

fof(f13236,plain,
    ( ! [X0,X1] :
        ( k5_rmod_4(sK4,X0,sK3(X1,sK4,X0,k1_xboole_0)) = X1
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK4)
        | ~ l1_vectsp_2(X0,sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,X0,k1_xboole_0),X1)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_23
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f13235,f10728]) ).

fof(f13237,plain,
    ( ! [X0,X1] :
        ( k5_rmod_4(sK4,X0,sK3(X1,sK4,X0,k1_xboole_0)) = X1
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK4)
        | ~ l1_vectsp_2(X0,sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,X0,k1_xboole_0),X1)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_23
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f13236,f10723]) ).

fof(f13238,plain,
    ( ! [X0,X1] :
        ( k5_rmod_4(sK4,X0,sK3(X1,sK4,X0,k1_xboole_0)) = X1
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK4)
        | ~ l1_vectsp_2(X0,sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,X0,k1_xboole_0),X1)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_23
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f13237,f10718]) ).

fof(f13239,plain,
    ( ! [X0,X1] :
        ( k5_rmod_4(sK4,X0,sK3(X1,sK4,X0,k1_xboole_0)) = X1
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK4)
        | ~ l1_vectsp_2(X0,sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,X0,k1_xboole_0),X1)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_23
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f13238,f10713]) ).

fof(f13240,plain,
    ( ! [X0,X1] :
        ( k5_rmod_4(sK4,X0,sK3(X1,sK4,X0,k1_xboole_0)) = X1
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK4)
        | ~ l1_vectsp_2(X0,sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,X0,k1_xboole_0),X1)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_23
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f13239,f10708]) ).

fof(f13241,plain,
    ( ! [X0,X1] :
        ( k5_rmod_4(sK4,X0,sK3(X1,sK4,X0,k1_xboole_0)) = X1
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK4)
        | ~ l1_vectsp_2(X0,sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,X0,k1_xboole_0),X1)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_23
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f13240,f10703]) ).

fof(f13242,plain,
    ( ! [X0,X1] :
        ( k5_rmod_4(sK4,X0,sK3(X1,sK4,X0,k1_xboole_0)) = X1
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK4)
        | ~ l1_vectsp_2(X0,sK4)
        | v10_vectsp_1(sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,X0,k1_xboole_0),X1)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_23
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f13241,f10698]) ).

fof(f13243,plain,
    ( ! [X0,X1] :
        ( k5_rmod_4(sK4,X0,sK3(X1,sK4,X0,k1_xboole_0)) = X1
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK4)
        | ~ l1_vectsp_2(X0,sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,X0,k1_xboole_0),X1)
        | ~ l3_vectsp_1(sK4) )
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f13242,f10693]) ).

fof(f13244,plain,
    ( ! [X0,X1] :
        ( ~ v5_vectsp_2(X0,sK4)
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | k5_rmod_4(sK4,X0,sK3(X1,sK4,X0,k1_xboole_0)) = X1
        | ~ l1_vectsp_2(X0,sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,X0,k1_xboole_0),X1) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f13243,f10683]) ).

fof(f13245,plain,
    ( ! [X0] :
        ( v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)) = X0
        | ~ l1_vectsp_2(sK5,sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,sK5,k1_xboole_0),X0) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_36 ),
    inference(resolution,[],[f13244,f10753]) ).

fof(f13250,plain,
    ( ! [X0] :
        ( ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)) = X0
        | ~ l1_vectsp_2(sK5,sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,sK5,k1_xboole_0),X0) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_36
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f13245,f10778]) ).

fof(f13253,plain,
    ( ! [X0] :
        ( ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)) = X0
        | ~ l1_vectsp_2(sK5,sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,sK5,k1_xboole_0),X0) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_36
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f13250,f10773]) ).

fof(f13256,plain,
    ( ! [X0] :
        ( ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)) = X0
        | ~ l1_vectsp_2(sK5,sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,sK5,k1_xboole_0),X0) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_36
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f13253,f10768]) ).

fof(f13259,plain,
    ( ! [X0] :
        ( ~ v6_rlvect_1(sK5)
        | k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)) = X0
        | ~ l1_vectsp_2(sK5,sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,sK5,k1_xboole_0),X0) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_36
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f13256,f10763]) ).

fof(f13262,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)) = X0
        | ~ l1_vectsp_2(sK5,sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,sK5,k1_xboole_0),X0) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f13259,f10758]) ).

fof(f13265,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)) = X0
        | ~ r1_rlvect_1(k1_rmod_5(sK4,sK5,k1_xboole_0),X0) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f13262,f10748]) ).

fof(f13266,plain,
    ( ! [X0] :
        ( ~ r1_rlvect_1(sF37,X0)
        | k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)) = X0 )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_44 ),
    inference(forward_demodulation,[],[f13265,f10793]) ).

fof(f14120,plain,
    ( ! [X0,X1] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,X1))
        | v3_struct_0(sK4)
        | ~ v3_rlvect_1(sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | k5_rmod_4(sK4,X1,sK0(X0,sK4,X1)) = X0
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4) )
    | ~ spl38_23 ),
    inference(resolution,[],[f10283,f10688]) ).

fof(f14121,plain,
    ( ! [X0,X1] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,X1))
        | ~ v3_rlvect_1(sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | k5_rmod_4(sK4,X1,sK0(X0,sK4,X1)) = X0
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4) )
    | ~ spl38_23
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f14120,f10743]) ).

fof(f14123,plain,
    ( ! [X0,X1] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,X1))
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | k5_rmod_4(sK4,X1,sK0(X0,sK4,X1)) = X0
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4) )
    | ~ spl38_23
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f14121,f10738]) ).

fof(f14129,plain,
    ( ! [X0,X1] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,X1))
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | k5_rmod_4(sK4,X1,sK0(X0,sK4,X1)) = X0
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4) )
    | ~ spl38_23
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f14123,f10733]) ).

fof(f14130,plain,
    ( ! [X0,X1] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,X1))
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | k5_rmod_4(sK4,X1,sK0(X0,sK4,X1)) = X0
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4) )
    | ~ spl38_23
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f14129,f10728]) ).

fof(f14131,plain,
    ( ! [X0,X1] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,X1))
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | k5_rmod_4(sK4,X1,sK0(X0,sK4,X1)) = X0
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4) )
    | ~ spl38_23
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f14130,f10723]) ).

fof(f14132,plain,
    ( ! [X0,X1] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,X1))
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | k5_rmod_4(sK4,X1,sK0(X0,sK4,X1)) = X0
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4) )
    | ~ spl38_23
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f14131,f10718]) ).

fof(f14133,plain,
    ( ! [X0,X1] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,X1))
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | k5_rmod_4(sK4,X1,sK0(X0,sK4,X1)) = X0
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4) )
    | ~ spl38_23
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f14132,f10713]) ).

fof(f14134,plain,
    ( ! [X0,X1] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,X1))
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | k5_rmod_4(sK4,X1,sK0(X0,sK4,X1)) = X0
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4) )
    | ~ spl38_23
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f14133,f10708]) ).

fof(f14135,plain,
    ( ! [X0,X1] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,X1))
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | k5_rmod_4(sK4,X1,sK0(X0,sK4,X1)) = X0
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4) )
    | ~ spl38_23
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f14134,f10703]) ).

fof(f14136,plain,
    ( ! [X0,X1] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,X1))
        | v10_vectsp_1(sK4)
        | k5_rmod_4(sK4,X1,sK0(X0,sK4,X1)) = X0
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4) )
    | ~ spl38_23
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f14135,f10698]) ).

fof(f14137,plain,
    ( ! [X0,X1] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,X1))
        | k5_rmod_4(sK4,X1,sK0(X0,sK4,X1)) = X0
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ v5_vectsp_2(X1,sK4)
        | ~ l1_vectsp_2(X1,sK4) )
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f14136,f10693]) ).

fof(f14138,plain,
    ( ! [X0,X1] :
        ( ~ v5_vectsp_2(X1,sK4)
        | k5_rmod_4(sK4,X1,sK0(X0,sK4,X1)) = X0
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ r2_hidden(X0,a_2_0_rmod_5(sK4,X1))
        | ~ l1_vectsp_2(X1,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34 ),
    inference(forward_subsumption_resolution,[],[f14137,f10683]) ).

fof(f14141,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,sK0(X0,sK4,sK5)) = X0
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ r2_hidden(X0,a_2_0_rmod_5(sK4,sK5))
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_36 ),
    inference(resolution,[],[f14138,f10753]) ).

fof(f14146,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,sK0(X0,sK4,sK5)) = X0
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ r2_hidden(X0,a_2_0_rmod_5(sK4,sK5))
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_36
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f14141,f10778]) ).

fof(f14150,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,sK0(X0,sK4,sK5)) = X0
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ r2_hidden(X0,a_2_0_rmod_5(sK4,sK5))
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_36
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f14146,f10773]) ).

fof(f14153,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,sK0(X0,sK4,sK5)) = X0
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ r2_hidden(X0,a_2_0_rmod_5(sK4,sK5))
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_36
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f14150,f10768]) ).

fof(f14156,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,sK0(X0,sK4,sK5)) = X0
        | ~ v6_rlvect_1(sK5)
        | ~ r2_hidden(X0,a_2_0_rmod_5(sK4,sK5))
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_36
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f14153,f10763]) ).

fof(f14159,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,sK0(X0,sK4,sK5)) = X0
        | ~ r2_hidden(X0,a_2_0_rmod_5(sK4,sK5))
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f14156,f10758]) ).

fof(f14162,plain,
    ( ! [X0] :
        ( ~ r2_hidden(X0,a_2_0_rmod_5(sK4,sK5))
        | k5_rmod_4(sK4,sK5,sK0(X0,sK4,sK5)) = X0 )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f14159,f10748]) ).

fof(f14165,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,X0) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | v3_struct_0(sK4)
        | ~ v3_rlvect_1(sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(resolution,[],[f14162,f10548]) ).

fof(f14169,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,X0) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v3_rlvect_1(sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f14165,f10743]) ).

fof(f14171,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,X0) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f14169,f10738]) ).

fof(f14172,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,X0) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f14171,f10733]) ).

fof(f14173,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,X0) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f14172,f10728]) ).

fof(f14174,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,X0) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f14173,f10723]) ).

fof(f14175,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,X0) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f14174,f10718]) ).

fof(f14176,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,X0) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f14175,f10713]) ).

fof(f14177,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,X0) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f14176,f10708]) ).

fof(f14178,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,X0) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f14177,f10703]) ).

fof(f14179,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,X0) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | v10_vectsp_1(sK4)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f14178,f10698]) ).

fof(f14180,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,X0) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f14179,f10693]) ).

fof(f14181,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,X0) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f14180,f10688]) ).

fof(f14182,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,X0) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f14181,f10683]) ).

fof(f14183,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,X0) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f14182,f10778]) ).

fof(f14184,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,X0) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f14183,f10773]) ).

fof(f14185,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,X0) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f14184,f10768]) ).

fof(f14186,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,X0) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f14185,f10763]) ).

fof(f14187,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,X0) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f14186,f10758]) ).

fof(f14188,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,X0) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f14187,f10753]) ).

fof(f14189,plain,
    ( ! [X0] :
        ( ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | k5_rmod_4(sK4,sK5,X0) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5)) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f14188,f10748]) ).

fof(f14259,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)),sK4,sK5))
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,sK5,k1_xboole_0),X0) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(resolution,[],[f14189,f13072]) ).

fof(f14262,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)),sK4,sK5))
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,sK5,k1_xboole_0),X0) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f14259,f10778]) ).

fof(f14268,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)),sK4,sK5))
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,sK5,k1_xboole_0),X0) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f14262,f10773]) ).

fof(f14270,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)),sK4,sK5))
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,sK5,k1_xboole_0),X0) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f14268,f10768]) ).

fof(f14272,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)),sK4,sK5))
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,sK5,k1_xboole_0),X0) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f14270,f10763]) ).

fof(f14274,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)),sK4,sK5))
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,sK5,k1_xboole_0),X0) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f14272,f10758]) ).

fof(f14276,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)),sK4,sK5))
        | ~ l1_vectsp_2(sK5,sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,sK5,k1_xboole_0),X0) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f14274,f10753]) ).

fof(f14278,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)),sK4,sK5))
        | ~ r1_rlvect_1(k1_rmod_5(sK4,sK5,k1_xboole_0),X0) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f14276,f10748]) ).

fof(f14280,plain,
    ( ! [X0] :
        ( ~ r1_rlvect_1(sF37,X0)
        | k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)),sK4,sK5)) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_44 ),
    inference(forward_demodulation,[],[f14278,f10793]) ).

fof(f15400,plain,
    ( ~ r1_rlvect_1(sF36,sK27(sK5,sF37,sF36))
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47
    | ~ spl38_90
    | spl38_111 ),
    inference(unit_resulting_resolution,[],[f10439,f10683,f10698,f10703,f10708,f10718,f10723,f10728,f10733,f10738,f10743,f10773,f10778,f10758,f10763,f10768,f10748,f10753,f12309,f10851,f12632]) ).

fof(f15411,definition,
    ( spl38_202
  <=> r1_rlvect_1(sF36,sK27(sK5,sF37,sF36)) ),
    introduced(definition,[new_symbols(definition,[spl38_202])],[avatar_definition]) ).

fof(f15414,plain,
    ( ~ spl38_202
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47
    | ~ spl38_90
    | spl38_111 ),
    inference(avatar_split_clause,[],[f15400,f12630,f12307,f10849,f10776,f10771,f10766,f10761,f10756,f10751,f10746,f10741,f10736,f10731,f10726,f10721,f10716,f10706,f10701,f10696,f10681,f15411]) ).

fof(f18767,plain,
    ( ! [X0] :
        ( ~ m1_rmod_2(sF36,sK4,X0)
        | ~ v3_vectsp_2(X0,sK4)
        | v3_struct_0(sF36)
        | ~ v3_rlvect_1(sF36)
        | ~ v4_rlvect_1(sF36)
        | ~ v5_rlvect_1(sF36)
        | ~ v6_rlvect_1(sF36)
        | ~ v3_vectsp_2(sF36,sK4)
        | ~ m1_rmod_2(X0,sK4,sF36)
        | ~ l1_vectsp_2(sF36,sK4)
        | sF36 = X0 )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_51 ),
    inference(resolution,[],[f11399,f10901]) ).

fof(f18770,plain,
    ( ! [X0] :
        ( ~ v3_vectsp_2(X0,sK4)
        | v3_struct_0(sF36)
        | ~ v3_rlvect_1(sF36)
        | ~ v4_rlvect_1(sF36)
        | ~ v5_rlvect_1(sF36)
        | ~ v6_rlvect_1(sF36)
        | ~ v3_vectsp_2(sF36,sK4)
        | ~ m1_rmod_2(X0,sK4,sF36)
        | ~ l1_vectsp_2(sF36,sK4)
        | sF36 = X0 )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_49
    | ~ spl38_50
    | ~ spl38_51
    | ~ spl38_52
    | ~ spl38_53
    | ~ spl38_54
    | ~ spl38_55
    | spl38_56 ),
    inference(forward_subsumption_resolution,[],[f18767,f12100]) ).

fof(f18772,plain,
    ( ! [X0] :
        ( ~ v3_vectsp_2(X0,sK4)
        | ~ v3_rlvect_1(sF36)
        | ~ v4_rlvect_1(sF36)
        | ~ v5_rlvect_1(sF36)
        | ~ v6_rlvect_1(sF36)
        | ~ v3_vectsp_2(sF36,sK4)
        | ~ m1_rmod_2(X0,sK4,sF36)
        | ~ l1_vectsp_2(sF36,sK4)
        | sF36 = X0 )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_49
    | ~ spl38_50
    | ~ spl38_51
    | ~ spl38_52
    | ~ spl38_53
    | ~ spl38_54
    | ~ spl38_55
    | spl38_56 ),
    inference(forward_subsumption_resolution,[],[f18770,f10921]) ).

fof(f18774,plain,
    ( ! [X0] :
        ( ~ v3_vectsp_2(X0,sK4)
        | ~ v4_rlvect_1(sF36)
        | ~ v5_rlvect_1(sF36)
        | ~ v6_rlvect_1(sF36)
        | ~ v3_vectsp_2(sF36,sK4)
        | ~ m1_rmod_2(X0,sK4,sF36)
        | ~ l1_vectsp_2(sF36,sK4)
        | sF36 = X0 )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_49
    | ~ spl38_50
    | ~ spl38_51
    | ~ spl38_52
    | ~ spl38_53
    | ~ spl38_54
    | ~ spl38_55
    | spl38_56 ),
    inference(forward_subsumption_resolution,[],[f18772,f10917]) ).

fof(f18776,plain,
    ( ! [X0] :
        ( ~ v3_vectsp_2(X0,sK4)
        | ~ v5_rlvect_1(sF36)
        | ~ v6_rlvect_1(sF36)
        | ~ v3_vectsp_2(sF36,sK4)
        | ~ m1_rmod_2(X0,sK4,sF36)
        | ~ l1_vectsp_2(sF36,sK4)
        | sF36 = X0 )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_49
    | ~ spl38_50
    | ~ spl38_51
    | ~ spl38_52
    | ~ spl38_53
    | ~ spl38_54
    | ~ spl38_55
    | spl38_56 ),
    inference(forward_subsumption_resolution,[],[f18774,f10913]) ).

fof(f18778,plain,
    ( ! [X0] :
        ( ~ v3_vectsp_2(X0,sK4)
        | ~ v6_rlvect_1(sF36)
        | ~ v3_vectsp_2(sF36,sK4)
        | ~ m1_rmod_2(X0,sK4,sF36)
        | ~ l1_vectsp_2(sF36,sK4)
        | sF36 = X0 )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_49
    | ~ spl38_50
    | ~ spl38_51
    | ~ spl38_52
    | ~ spl38_53
    | ~ spl38_54
    | ~ spl38_55
    | spl38_56 ),
    inference(forward_subsumption_resolution,[],[f18776,f10909]) ).

fof(f18780,plain,
    ( ! [X0] :
        ( ~ v3_vectsp_2(X0,sK4)
        | ~ v3_vectsp_2(sF36,sK4)
        | ~ m1_rmod_2(X0,sK4,sF36)
        | ~ l1_vectsp_2(sF36,sK4)
        | sF36 = X0 )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_49
    | ~ spl38_50
    | ~ spl38_51
    | ~ spl38_52
    | ~ spl38_53
    | ~ spl38_54
    | ~ spl38_55
    | spl38_56 ),
    inference(forward_subsumption_resolution,[],[f18778,f10905]) ).

fof(f18782,plain,
    ( ! [X0] :
        ( ~ v3_vectsp_2(X0,sK4)
        | ~ m1_rmod_2(X0,sK4,sF36)
        | ~ l1_vectsp_2(sF36,sK4)
        | sF36 = X0 )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_46
    | ~ spl38_49
    | ~ spl38_50
    | ~ spl38_51
    | ~ spl38_52
    | ~ spl38_53
    | ~ spl38_54
    | ~ spl38_55
    | spl38_56 ),
    inference(forward_subsumption_resolution,[],[f18780,f10834]) ).

fof(f18783,plain,
    ( ! [X0] :
        ( ~ m1_rmod_2(X0,sK4,sF36)
        | ~ v3_vectsp_2(X0,sK4)
        | sF36 = X0 )
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_46
    | ~ spl38_49
    | ~ spl38_50
    | ~ spl38_51
    | ~ spl38_52
    | ~ spl38_53
    | ~ spl38_54
    | ~ spl38_55
    | spl38_56 ),
    inference(forward_subsumption_resolution,[],[f18782,f10897]) ).

fof(f19396,plain,
    ( r1_rlvect_1(sK22(sK4,sF36),k1_rlvect_1(sF36))
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_50
    | ~ spl38_51
    | ~ spl38_52
    | ~ spl38_53
    | ~ spl38_54
    | ~ spl38_55
    | spl38_56
    | ~ spl38_58
    | ~ spl38_68 ),
    inference(unit_resulting_resolution,[],[f10444,f10683,f10698,f10703,f10708,f10718,f10723,f10728,f10733,f10738,f10743,f10917,f10921,f10905,f10909,f10913,f10897,f10901,f10994,f11716]) ).

fof(f19438,plain,
    ( ~ v3_vectsp_2(sK22(sK4,sF36),sK4)
    | sF36 = sK22(sK4,sF36)
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_46
    | ~ spl38_49
    | ~ spl38_50
    | ~ spl38_51
    | ~ spl38_52
    | ~ spl38_53
    | ~ spl38_54
    | ~ spl38_55
    | spl38_56
    | ~ spl38_68 ),
    inference(resolution,[],[f11716,f18783]) ).

fof(f19439,plain,
    ( sF36 = sK22(sK4,sF36)
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_46
    | ~ spl38_49
    | ~ spl38_50
    | ~ spl38_51
    | ~ spl38_52
    | ~ spl38_53
    | ~ spl38_54
    | ~ spl38_55
    | spl38_56
    | ~ spl38_68
    | ~ spl38_81 ),
    inference(forward_subsumption_resolution,[],[f19438,f12164]) ).

fof(f19448,definition,
    ( spl38_371
  <=> r1_rlvect_1(sK22(sK4,sF36),k1_rlvect_1(sK5)) ),
    introduced(definition,[new_symbols(definition,[spl38_371])],[avatar_definition]) ).

fof(f19521,plain,
    ( r1_rlvect_1(sK22(sK4,sF36),k1_rlvect_1(sK5))
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_50
    | ~ spl38_51
    | ~ spl38_52
    | ~ spl38_53
    | ~ spl38_54
    | ~ spl38_55
    | spl38_56
    | ~ spl38_58
    | ~ spl38_68
    | ~ spl38_73 ),
    inference(forward_demodulation,[],[f19396,f11739]) ).

fof(f19558,definition,
    ( spl38_387
  <=> sF36 = sK22(sK4,sF36) ),
    introduced(definition,[new_symbols(definition,[spl38_387])],[avatar_definition]) ).

fof(f19561,plain,
    ( spl38_387
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_46
    | ~ spl38_49
    | ~ spl38_50
    | ~ spl38_51
    | ~ spl38_52
    | ~ spl38_53
    | ~ spl38_54
    | ~ spl38_55
    | spl38_56
    | ~ spl38_68
    | ~ spl38_81 ),
    inference(avatar_split_clause,[],[f19439,f12162,f11714,f10920,f10916,f10912,f10908,f10904,f10900,f10896,f10873,f10832,f10741,f10736,f10731,f10726,f10721,f10716,f10706,f10701,f10696,f10681,f19558]) ).

fof(f19579,plain,
    ( spl38_371
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_50
    | ~ spl38_51
    | ~ spl38_52
    | ~ spl38_53
    | ~ spl38_54
    | ~ spl38_55
    | spl38_56
    | ~ spl38_58
    | ~ spl38_68
    | ~ spl38_73 ),
    inference(avatar_split_clause,[],[f19521,f11737,f11714,f10992,f10920,f10916,f10912,f10908,f10904,f10900,f10896,f10741,f10736,f10731,f10726,f10721,f10716,f10706,f10701,f10696,f10681,f19448]) ).

fof(f19771,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5)),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | v3_struct_0(sK4)
        | ~ v3_rlvect_1(sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(resolution,[],[f11386,f10548]) ).

fof(f19779,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5)),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v3_rlvect_1(sK4)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f19771,f10743]) ).

fof(f19783,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5)),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v4_rlvect_1(sK4)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f19779,f10738]) ).

fof(f19784,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5)),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v5_rlvect_1(sK4)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f19783,f10733]) ).

fof(f19785,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5)),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v6_rlvect_1(sK4)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f19784,f10728]) ).

fof(f19786,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5)),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v4_group_1(sK4)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f19785,f10723]) ).

fof(f19787,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5)),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v7_group_1(sK4)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f19786,f10718]) ).

fof(f19788,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5)),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v6_vectsp_1(sK4)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f19787,f10713]) ).

fof(f19789,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5)),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v7_vectsp_1(sK4)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f19788,f10708]) ).

fof(f19790,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5)),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v8_vectsp_1(sK4)
        | v10_vectsp_1(sK4)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f19789,f10703]) ).

fof(f19791,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5)),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | v10_vectsp_1(sK4)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f19790,f10698]) ).

fof(f19792,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5)),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v2_vectsp_2(sK4)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f19791,f10693]) ).

fof(f19793,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5)),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ l3_vectsp_1(sK4)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f19792,f10688]) ).

fof(f19794,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5)),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f19793,f10683]) ).

fof(f19795,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5)),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f19794,f10778]) ).

fof(f19796,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5)),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f19795,f10773]) ).

fof(f19797,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5)),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f19796,f10768]) ).

fof(f19798,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5)),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f19797,f10763]) ).

fof(f19799,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5)),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f19798,f10758]) ).

fof(f19800,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5)),sK4,sK5))
        | ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | ~ l1_vectsp_2(sK5,sK4) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f19799,f10753]) ).

fof(f19801,plain,
    ( ! [X0] :
        ( ~ m2_rmod_4(X0,sK4,sK5,k1_xboole_0)
        | k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,X0),sK4,sK5)),sK4,sK5)) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f19800,f10748]) ).

fof(f19810,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)),sK4,sK5)),sK4,sK5))
        | v3_struct_0(sK5)
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,sK5,k1_xboole_0),X0) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(resolution,[],[f19801,f13072]) ).

fof(f19815,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)),sK4,sK5)),sK4,sK5))
        | ~ v3_rlvect_1(sK5)
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,sK5,k1_xboole_0),X0) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f19810,f10778]) ).

fof(f19824,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)),sK4,sK5)),sK4,sK5))
        | ~ v4_rlvect_1(sK5)
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,sK5,k1_xboole_0),X0) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f19815,f10773]) ).

fof(f19830,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)),sK4,sK5)),sK4,sK5))
        | ~ v5_rlvect_1(sK5)
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,sK5,k1_xboole_0),X0) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f19824,f10768]) ).

fof(f19832,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)),sK4,sK5)),sK4,sK5))
        | ~ v6_rlvect_1(sK5)
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,sK5,k1_xboole_0),X0) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f19830,f10763]) ).

fof(f19834,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)),sK4,sK5)),sK4,sK5))
        | ~ v5_vectsp_2(sK5,sK4)
        | ~ l1_vectsp_2(sK5,sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,sK5,k1_xboole_0),X0) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f19832,f10758]) ).

fof(f19836,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)),sK4,sK5)),sK4,sK5))
        | ~ l1_vectsp_2(sK5,sK4)
        | ~ r1_rlvect_1(k1_rmod_5(sK4,sK5,k1_xboole_0),X0) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f19834,f10753]) ).

fof(f19838,plain,
    ( ! [X0] :
        ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)),sK4,sK5)),sK4,sK5))
        | ~ r1_rlvect_1(k1_rmod_5(sK4,sK5,k1_xboole_0),X0) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41 ),
    inference(forward_subsumption_resolution,[],[f19836,f10748]) ).

fof(f19840,plain,
    ( ! [X0] :
        ( ~ r1_rlvect_1(sF37,X0)
        | k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK3(X0,sK4,sK5,k1_xboole_0)),sK4,sK5)),sK4,sK5)) )
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_44 ),
    inference(forward_demodulation,[],[f19838,f10793]) ).

fof(f21204,plain,
    ( r1_rlvect_1(sF37,sK27(sK5,sF37,sF36))
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47
    | ~ spl38_90
    | spl38_111 ),
    inference(unit_resulting_resolution,[],[f10438,f10683,f10778,f10703,f10708,f10718,f10723,f10728,f10733,f10738,f10743,f10768,f10773,f10758,f10763,f10748,f10753,f12632,f12309,f10851,f10698]) ).

fof(f21214,definition,
    ( spl38_444
  <=> r1_rlvect_1(sF37,sK27(sK5,sF37,sF36)) ),
    introduced(definition,[new_symbols(definition,[spl38_444])],[avatar_definition]) ).

fof(f21216,plain,
    ( r1_rlvect_1(sF37,sK27(sK5,sF37,sF36))
    | ~ spl38_444 ),
    inference(avatar_component_clause,[],[f21214]) ).

fof(f21217,plain,
    ( spl38_444
    | ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47
    | ~ spl38_90
    | spl38_111 ),
    inference(avatar_split_clause,[],[f21204,f12630,f12307,f10849,f10776,f10771,f10766,f10761,f10756,f10751,f10746,f10741,f10736,f10731,f10726,f10721,f10716,f10706,f10701,f10696,f10681,f21214]) ).

fof(f21248,plain,
    ( sK27(sK5,sF37,sF36) = k5_rmod_4(sK4,sK5,sK3(sK27(sK5,sF37,sF36),sK4,sK5,k1_xboole_0))
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_44
    | ~ spl38_444 ),
    inference(resolution,[],[f21216,f13266]) ).

fof(f21251,plain,
    ( k5_rmod_4(sK4,sK5,sK3(sK27(sK5,sF37,sF36),sK4,sK5,k1_xboole_0)) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK3(sK27(sK5,sF37,sF36),sK4,sK5,k1_xboole_0)),sK4,sK5))
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_44
    | ~ spl38_444 ),
    inference(resolution,[],[f21216,f14280]) ).

fof(f21254,plain,
    ( k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK3(sK27(sK5,sF37,sF36),sK4,sK5,k1_xboole_0)),sK4,sK5)),sK4,sK5))
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_44
    | ~ spl38_444 ),
    inference(resolution,[],[f21216,f19840]) ).

fof(f21256,definition,
    ( spl38_446
  <=> k1_rlvect_1(sK5) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK3(sK27(sK5,sF37,sF36),sK4,sK5,k1_xboole_0)),sK4,sK5)),sK4,sK5)) ),
    introduced(definition,[new_symbols(definition,[spl38_446])],[avatar_definition]) ).

fof(f21259,plain,
    ( spl38_446
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_44
    | ~ spl38_444 ),
    inference(avatar_split_clause,[],[f21254,f21214,f10791,f10776,f10771,f10766,f10761,f10756,f10751,f10746,f10741,f10736,f10731,f10726,f10721,f10716,f10711,f10706,f10701,f10696,f10691,f10686,f10681,f21256]) ).

fof(f21271,definition,
    ( spl38_449
  <=> k5_rmod_4(sK4,sK5,sK3(sK27(sK5,sF37,sF36),sK4,sK5,k1_xboole_0)) = k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK3(sK27(sK5,sF37,sF36),sK4,sK5,k1_xboole_0)),sK4,sK5)) ),
    introduced(definition,[new_symbols(definition,[spl38_449])],[avatar_definition]) ).

fof(f21274,plain,
    ( spl38_449
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_44
    | ~ spl38_444 ),
    inference(avatar_split_clause,[],[f21251,f21214,f10791,f10776,f10771,f10766,f10761,f10756,f10751,f10746,f10741,f10736,f10731,f10726,f10721,f10716,f10711,f10706,f10701,f10696,f10691,f10686,f10681,f21271]) ).

fof(f21286,definition,
    ( spl38_452
  <=> sK27(sK5,sF37,sF36) = k5_rmod_4(sK4,sK5,sK3(sK27(sK5,sF37,sF36),sK4,sK5,k1_xboole_0)) ),
    introduced(definition,[new_symbols(definition,[spl38_452])],[avatar_definition]) ).

fof(f21289,plain,
    ( spl38_452
    | ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_44
    | ~ spl38_444 ),
    inference(avatar_split_clause,[],[f21248,f21214,f10791,f10776,f10771,f10766,f10761,f10756,f10751,f10746,f10741,f10736,f10731,f10726,f10721,f10716,f10711,f10706,f10701,f10696,f10691,f10686,f10681,f21286]) ).

fof(f21296,plain,
    ( sF36 != sK22(sK4,sF36)
    | sK27(sK5,sF37,sF36) != k5_rmod_4(sK4,sK5,sK3(sK27(sK5,sF37,sF36),sK4,sK5,k1_xboole_0))
    | k5_rmod_4(sK4,sK5,sK3(sK27(sK5,sF37,sF36),sK4,sK5,k1_xboole_0)) != k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK3(sK27(sK5,sF37,sF36),sK4,sK5,k1_xboole_0)),sK4,sK5))
    | k1_rlvect_1(sK5) != k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK0(k5_rmod_4(sK4,sK5,sK3(sK27(sK5,sF37,sF36),sK4,sK5,k1_xboole_0)),sK4,sK5)),sK4,sK5))
    | r1_rlvect_1(sF36,sK27(sK5,sF37,sF36))
    | ~ r1_rlvect_1(sK22(sK4,sF36),k1_rlvect_1(sK5)) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

cnf(s25,plain,
    spl38_22,
    inference(sat_conversion,[],[f10684]) ).

cnf(s26,plain,
    spl38_23,
    inference(sat_conversion,[],[f10689]) ).

cnf(s27,plain,
    ~ spl38_24,
    inference(sat_conversion,[],[f10694]) ).

cnf(s28,plain,
    spl38_25,
    inference(sat_conversion,[],[f10699]) ).

cnf(s29,plain,
    spl38_26,
    inference(sat_conversion,[],[f10704]) ).

cnf(s30,plain,
    spl38_27,
    inference(sat_conversion,[],[f10709]) ).

cnf(s31,plain,
    spl38_28,
    inference(sat_conversion,[],[f10714]) ).

cnf(s32,plain,
    spl38_29,
    inference(sat_conversion,[],[f10719]) ).

cnf(s33,plain,
    spl38_30,
    inference(sat_conversion,[],[f10724]) ).

cnf(s34,plain,
    spl38_31,
    inference(sat_conversion,[],[f10729]) ).

cnf(s35,plain,
    spl38_32,
    inference(sat_conversion,[],[f10734]) ).

cnf(s36,plain,
    spl38_33,
    inference(sat_conversion,[],[f10739]) ).

cnf(s37,plain,
    ~ spl38_34,
    inference(sat_conversion,[],[f10744]) ).

cnf(s38,plain,
    spl38_35,
    inference(sat_conversion,[],[f10749]) ).

cnf(s39,plain,
    spl38_36,
    inference(sat_conversion,[],[f10754]) ).

cnf(s40,plain,
    spl38_37,
    inference(sat_conversion,[],[f10759]) ).

cnf(s41,plain,
    spl38_38,
    inference(sat_conversion,[],[f10764]) ).

cnf(s42,plain,
    spl38_39,
    inference(sat_conversion,[],[f10769]) ).

cnf(s43,plain,
    spl38_40,
    inference(sat_conversion,[],[f10774]) ).

cnf(s44,plain,
    ~ spl38_41,
    inference(sat_conversion,[],[f10779]) ).

cnf(s45,plain,
    ~ spl38_42,
    inference(sat_conversion,[],[f10784]) ).

cnf(s46,plain,
    spl38_43,
    inference(sat_conversion,[],[f10789]) ).

cnf(s47,plain,
    spl38_44,
    inference(sat_conversion,[],[f10794]) ).

cnf(s50,plain,
    ( ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_43
    | spl38_46 ),
    inference(sat_conversion,[],[f10835]) ).

cnf(s51,plain,
    ( ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_43
    | spl38_47 ),
    inference(sat_conversion,[],[f10852]) ).

cnf(s53,plain,
    ( ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_43
    | ~ spl38_47
    | spl38_49 ),
    inference(sat_conversion,[],[f10876]) ).

cnf(s54,plain,
    ( ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_49
    | ~ spl38_50
    | ~ spl38_51
    | ~ spl38_52
    | ~ spl38_53
    | ~ spl38_54
    | ~ spl38_55
    | spl38_56
    | spl38_57 ),
    inference(sat_conversion,[],[f10927]) ).

cnf(s55,plain,
    ( ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_43
    | ~ spl38_47
    | spl38_58 ),
    inference(sat_conversion,[],[f10995]) ).

cnf(s79,plain,
    ( ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47
    | spl38_50 ),
    inference(sat_conversion,[],[f11163]) ).

cnf(s99,plain,
    ( ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47
    | spl38_51 ),
    inference(sat_conversion,[],[f11298]) ).

cnf(s101,plain,
    ( ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47
    | spl38_53 ),
    inference(sat_conversion,[],[f11414]) ).

cnf(s122,plain,
    ( ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47
    | spl38_52 ),
    inference(sat_conversion,[],[f11495]) ).

cnf(s142,plain,
    ( ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47
    | spl38_54 ),
    inference(sat_conversion,[],[f11565]) ).

cnf(s162,plain,
    ( ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47
    | spl38_55 ),
    inference(sat_conversion,[],[f11635]) ).

cnf(s166,plain,
    ( ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_50
    | ~ spl38_51
    | ~ spl38_52
    | ~ spl38_53
    | ~ spl38_54
    | ~ spl38_55
    | spl38_56
    | spl38_68 ),
    inference(sat_conversion,[],[f11717]) ).

cnf(s171,plain,
    ( ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_43
    | ~ spl38_57
    | spl38_73 ),
    inference(sat_conversion,[],[f11740]) ).

cnf(s198,plain,
    ( ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47
    | ~ spl38_56 ),
    inference(sat_conversion,[],[f12049]) ).

cnf(s202,plain,
    ( ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_50
    | ~ spl38_51
    | ~ spl38_52
    | ~ spl38_53
    | ~ spl38_54
    | ~ spl38_55
    | spl38_56
    | spl38_81 ),
    inference(sat_conversion,[],[f12165]) ).

cnf(s214,plain,
    ( ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_44
    | spl38_90 ),
    inference(sat_conversion,[],[f12310]) ).

cnf(s215,plain,
    ( ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_44
    | spl38_91 ),
    inference(sat_conversion,[],[f12315]) ).

cnf(s218,plain,
    ( ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_43
    | ~ spl38_90
    | spl38_94 ),
    inference(sat_conversion,[],[f12392]) ).

cnf(s274,plain,
    ( ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | spl38_42
    | ~ spl38_46
    | ~ spl38_50
    | ~ spl38_51
    | ~ spl38_52
    | ~ spl38_53
    | ~ spl38_54
    | ~ spl38_55
    | spl38_56
    | ~ spl38_91
    | ~ spl38_94
    | ~ spl38_111 ),
    inference(sat_conversion,[],[f12633]) ).

cnf(s434,plain,
    ( ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47
    | ~ spl38_90
    | spl38_111
    | ~ spl38_202 ),
    inference(sat_conversion,[],[f15414]) ).

cnf(s852,plain,
    ( ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_46
    | ~ spl38_49
    | ~ spl38_50
    | ~ spl38_51
    | ~ spl38_52
    | ~ spl38_53
    | ~ spl38_54
    | ~ spl38_55
    | spl38_56
    | ~ spl38_68
    | ~ spl38_81
    | spl38_387 ),
    inference(sat_conversion,[],[f19561]) ).

cnf(s869,plain,
    ( ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_50
    | ~ spl38_51
    | ~ spl38_52
    | ~ spl38_53
    | ~ spl38_54
    | ~ spl38_55
    | spl38_56
    | ~ spl38_58
    | ~ spl38_68
    | ~ spl38_73
    | spl38_371 ),
    inference(sat_conversion,[],[f19579]) ).

cnf(s975,plain,
    ( ~ spl38_22
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_47
    | ~ spl38_90
    | spl38_111
    | spl38_444 ),
    inference(sat_conversion,[],[f21217]) ).

cnf(s977,plain,
    ( ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_44
    | ~ spl38_444
    | spl38_446 ),
    inference(sat_conversion,[],[f21259]) ).

cnf(s980,plain,
    ( ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_44
    | ~ spl38_444
    | spl38_449 ),
    inference(sat_conversion,[],[f21274]) ).

cnf(s983,plain,
    ( ~ spl38_22
    | ~ spl38_23
    | spl38_24
    | ~ spl38_25
    | ~ spl38_26
    | ~ spl38_27
    | ~ spl38_28
    | ~ spl38_29
    | ~ spl38_30
    | ~ spl38_31
    | ~ spl38_32
    | ~ spl38_33
    | spl38_34
    | ~ spl38_35
    | ~ spl38_36
    | ~ spl38_37
    | ~ spl38_38
    | ~ spl38_39
    | ~ spl38_40
    | spl38_41
    | ~ spl38_44
    | ~ spl38_444
    | spl38_452 ),
    inference(sat_conversion,[],[f21289]) ).

cnf(s995,plain,
    ( spl38_202
    | ~ spl38_371
    | ~ spl38_387
    | ~ spl38_446
    | ~ spl38_449
    | ~ spl38_452 ),
    inference(sat_conversion,[],[f21296]) ).

cnf(s1005,plain,
    spl38_91,
    inference(rat,[],[s215,s26,s47,s44,s43,s42,s41,s40,s39,s38,s37,s36,s35,s34,s33,s32,s31,s30,s29,s28,s27,s25]) ).

cnf(s1006,plain,
    spl38_90,
    inference(rat,[],[s214,s26,s47,s44,s43,s42,s41,s40,s39,s38,s37,s36,s35,s34,s33,s32,s31,s30,s29,s28,s27,s25]) ).

cnf(s1016,plain,
    spl38_47,
    inference(rat,[],[s51,s28,s46,s44,s43,s42,s41,s40,s39,s38,s37,s36,s35,s34,s33,s32,s30,s29,s25]) ).

cnf(s1017,plain,
    spl38_46,
    inference(rat,[],[s50,s28,s46,s44,s43,s42,s41,s40,s39,s38,s37,s36,s35,s34,s33,s32,s30,s29,s25]) ).

cnf(s1038,plain,
    spl38_94,
    inference(rat,[],[s218,s25,s28,s46,s44,s43,s42,s41,s40,s39,s38,s37,s36,s35,s34,s33,s32,s30,s29,s1006]) ).

cnf(s1048,plain,
    ~ spl38_56,
    inference(rat,[],[s198,s25,s28,s44,s43,s42,s41,s40,s39,s38,s37,s36,s35,s34,s33,s32,s30,s29,s1016]) ).

cnf(s1050,plain,
    spl38_55,
    inference(rat,[],[s162,s25,s28,s44,s43,s42,s41,s40,s39,s38,s37,s36,s35,s34,s33,s32,s30,s29,s1016]) ).

cnf(s1051,plain,
    spl38_54,
    inference(rat,[],[s142,s25,s28,s44,s43,s42,s41,s40,s39,s38,s37,s36,s35,s34,s33,s32,s30,s29,s1016]) ).

cnf(s1052,plain,
    spl38_52,
    inference(rat,[],[s122,s25,s28,s44,s43,s42,s41,s40,s39,s38,s37,s36,s35,s34,s33,s32,s30,s29,s1016]) ).

cnf(s1053,plain,
    spl38_53,
    inference(rat,[],[s101,s25,s28,s44,s43,s42,s41,s40,s39,s38,s37,s36,s35,s34,s33,s32,s30,s29,s1016]) ).

cnf(s1054,plain,
    spl38_51,
    inference(rat,[],[s99,s25,s28,s44,s43,s42,s41,s40,s39,s38,s37,s36,s35,s34,s33,s32,s30,s29,s1016]) ).

cnf(s1055,plain,
    spl38_50,
    inference(rat,[],[s79,s25,s28,s44,s43,s42,s41,s40,s39,s38,s37,s36,s35,s34,s33,s32,s30,s29,s1016]) ).

cnf(s1057,plain,
    spl38_58,
    inference(rat,[],[s55,s25,s28,s46,s44,s43,s42,s41,s40,s39,s38,s37,s36,s35,s34,s33,s32,s30,s29,s1016]) ).

cnf(s1058,plain,
    spl38_49,
    inference(rat,[],[s53,s25,s28,s46,s44,s43,s42,s41,s40,s39,s38,s37,s36,s35,s34,s33,s32,s30,s29,s1016]) ).

cnf(s1108,plain,
    spl38_81,
    inference(rat,[],[s202,s1054,s1048,s1050,s1051,s1053,s1052,s25,s28,s37,s36,s35,s34,s33,s32,s30,s29,s1055]) ).

cnf(s1110,plain,
    spl38_68,
    inference(rat,[],[s166,s1054,s1048,s1050,s1051,s1053,s1052,s25,s28,s37,s36,s35,s34,s33,s32,s30,s29,s1055]) ).

cnf(s1120,plain,
    ~ spl38_111,
    inference(rat,[],[s274,s1017,s1038,s1005,s1048,s1050,s1051,s1053,s1052,s1054,s25,s28,s45,s37,s36,s35,s34,s33,s32,s30,s29,s1055]) ).

cnf(s1140,plain,
    spl38_57,
    inference(rat,[],[s54,s1055,s1048,s1050,s1051,s1053,s1052,s1054,s25,s28,s37,s36,s35,s34,s33,s32,s30,s29,s1058]) ).

cnf(s1207,plain,
    spl38_387,
    inference(rat,[],[s852,s1058,s1108,s1017,s1048,s1050,s1051,s1053,s1052,s1054,s1055,s25,s28,s37,s36,s35,s34,s33,s32,s30,s29,s1110]) ).

cnf(s1234,plain,
    spl38_444,
    inference(rat,[],[s975,s1016,s1006,s25,s28,s44,s43,s42,s41,s40,s39,s38,s37,s36,s35,s34,s33,s32,s30,s29,s1120]) ).

cnf(s1235,plain,
    ~ spl38_202,
    inference(rat,[],[s434,s1016,s1006,s25,s28,s44,s43,s42,s41,s40,s39,s38,s37,s36,s35,s34,s33,s32,s30,s29,s1120]) ).

cnf(s1239,plain,
    spl38_73,
    inference(rat,[],[s171,s25,s28,s46,s44,s43,s42,s41,s40,s39,s38,s37,s36,s35,s34,s33,s32,s30,s29,s1140]) ).

cnf(s1278,plain,
    spl38_452,
    inference(rat,[],[s983,s25,s26,s47,s44,s43,s42,s41,s40,s39,s38,s37,s36,s35,s34,s33,s32,s31,s30,s29,s28,s27,s1234]) ).

cnf(s1281,plain,
    spl38_449,
    inference(rat,[],[s980,s25,s26,s47,s44,s43,s42,s41,s40,s39,s38,s37,s36,s35,s34,s33,s32,s31,s30,s29,s28,s27,s1234]) ).

cnf(s1284,plain,
    spl38_446,
    inference(rat,[],[s977,s25,s26,s47,s44,s43,s42,s41,s40,s39,s38,s37,s36,s35,s34,s33,s32,s31,s30,s29,s28,s27,s1234]) ).

cnf(s1286,plain,
    ~ spl38_371,
    inference(rat,[],[s995,s1278,s1281,s1284,s1207,s1235]) ).

cnf(s1295,plain,
    $false,
    inference(rat,[],[s869,s1110,s1055,s1054,s1057,s1048,s1050,s1051,s1053,s1052,s25,s28,s37,s36,s35,s34,s33,s32,s30,s29,s1286,s1239]) ).

fof(f21297,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1295]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ALG217+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20  % Computer : n005.cluster.edu
% 0.08/0.20  % Model    : x86_64 x86_64
% 0.08/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20  % Memory   : 8046.5625MB
% 0.08/0.20  % OS       : Linux 6.8.0-71-generic
% 0.08/0.20  % CPULimit : 300
% 0.08/0.20  % WCLimit  : 300
% 0.08/0.20  % DateTime : Mon Sep 28 19:45:34 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23  Running first-order theorem proving
% 0.08/0.23  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
% 11.56/2.70  % (1086539)Detected formulas, will run a generic FOF schedule.
% 11.56/2.70  % (1086548)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4207992219:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 11.56/2.70  % (1086547)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1113512531:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 11.56/2.70  % (1086545)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=1804951009:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 11.56/2.70  % (1086546)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=3597839533:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 11.56/2.70  % (1086550)dis-21_1_sil=8000:lcm=predicate:random_seed=1453656869:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2995 on theBenchmark for (2995ds/129Mi)
% 11.56/2.70  % (1086544)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=3794738123:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 11.56/2.70  % (1086549)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1139824870:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 11.56/2.70  % (1086548)Instruction limit reached! 
% 11.56/2.70  % (1086548)------------------------------
% 11.56/2.70  % (1086548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.70  % (1086548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.70  % (1086548)CaDiCaL version: 2.1.3
% 11.56/2.70  % (1086548)Termination reason: Instruction limit
% 11.56/2.70  % (1086548)Termination phase: Property scanning
% 11.56/2.70  % (1086548)Time elapsed: 0.056 s
% 11.56/2.70  % (1086548)Peak memory usage: 101 MB
% 11.56/2.70  % (1086548)Instructions burned: 120 (million)
% 11.56/2.70  % (1086547)Instruction limit reached! 
% 11.56/2.70  % (1086547)------------------------------
% 11.56/2.70  % (1086547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.70  % (1086547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.70  % (1086547)CaDiCaL version: 2.1.3
% 11.56/2.70  % (1086547)Termination reason: Instruction limit
% 11.56/2.70  % (1086547)Termination phase: Saturation
% 11.56/2.70  % (1086547)Time elapsed: 0.069 s
% 11.56/2.70  % (1086547)Peak memory usage: 101 MB
% 11.56/2.70  % (1086547)Instructions burned: 109 (million)
% 11.56/2.70  % (1086549)Instruction limit reached! 
% 11.56/2.70  % (1086549)------------------------------
% 11.56/2.70  % (1086549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.70  % (1086549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.70  % (1086549)CaDiCaL version: 2.1.3
% 11.56/2.70  % (1086549)Termination reason: Instruction limit
% 11.56/2.70  % (1086549)Termination phase: SInE selection
% 11.56/2.70  % (1086549)Time elapsed: 0.066 s
% 11.56/2.70  % (1086549)Peak memory usage: 97 MB
% 11.56/2.70  % (1086549)Instructions burned: 139 (million)
% 11.56/2.70  % (1086550)Instruction limit reached! 
% 11.56/2.70  % (1086550)------------------------------
% 11.56/2.70  % (1086550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.70  % (1086550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.70  % (1086550)CaDiCaL version: 2.1.3
% 11.56/2.70  % (1086550)Termination reason: Instruction limit
% 11.56/2.70  % (1086550)Termination phase: Unused predicate definition removal
% 11.56/2.70  % (1086550)Time elapsed: 0.096 s
% 11.56/2.70  % (1086550)Peak memory usage: 98 MB
% 11.56/2.70  % (1086550)Instructions burned: 129 (million)
% 11.56/2.70  % (1086558)lrs+10_1_sil=8000:sp=occurrence:random_seed=3616052270:i=285:sd=3:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/285Mi)
% 11.56/2.70  % (1086558)Instruction limit reached! 
% 11.56/2.70  % (1086558)------------------------------
% 11.56/2.70  % (1086558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.56/2.70  % (1086558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.56/2.70  % (1086558)CaDiCaL version: 2.1.3
% 11.56/2.70  % (1086558)Termination reason: Instruction limit
% 11.56/2.70  % (1086558)Termination phase: Saturation
% 11.56/2.70  % (1086558)Time elapsed: 0.096 s
% 11.56/2.70  % (1086558)Peak memory usage: 104 MB
% 18.02/3.61  % (1086558)Instructions burned: 285 (million)
% 18.02/3.61  % (1086559)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1958262763:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 18.02/3.61  % (1086560)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3158618109:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 18.02/3.61  % (1086561)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=4142381652:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 18.02/3.61  % (1086559)Instruction limit reached! 
% 18.02/3.61  % (1086559)------------------------------
% 18.02/3.61  % (1086559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.02/3.61  % (1086559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.02/3.61  % (1086559)CaDiCaL version: 2.1.3
% 18.02/3.61  % (1086559)Termination reason: Instruction limit
% 18.02/3.61  % (1086559)Termination phase: SInE selection
% 18.02/3.61  % (1086559)Time elapsed: 0.082 s
% 18.02/3.61  % (1086559)Peak memory usage: 97 MB
% 18.02/3.61  % (1086559)Instructions burned: 158 (million)
% 18.02/3.61  % (1086563)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2822451425:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 18.02/3.61  % (1086561)Instruction limit reached! 
% 18.02/3.61  % (1086561)------------------------------
% 18.02/3.61  % (1086561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.02/3.61  % (1086561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.02/3.61  % (1086561)CaDiCaL version: 2.1.3
% 18.02/3.61  % (1086561)Termination reason: Instruction limit
% 18.02/3.61  % (1086561)Termination phase: Preprocessing 1
% 18.02/3.61  % (1086561)Time elapsed: 0.140 s
% 18.02/3.61  % (1086561)Peak memory usage: 98 MB
% 18.02/3.61  % (1086561)Instructions burned: 250 (million)
% 18.02/3.61  % (1086560)Instruction limit reached! 
% 18.02/3.61  % (1086560)------------------------------
% 18.02/3.61  % (1086560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.02/3.61  % (1086560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.02/3.61  % (1086560)CaDiCaL version: 2.1.3
% 18.02/3.61  % (1086560)Termination reason: Instruction limit
% 18.02/3.61  % (1086560)Termination phase: Saturation
% 18.02/3.61  % (1086560)Time elapsed: 0.172 s
% 18.02/3.61  % (1086560)Peak memory usage: 102 MB
% 18.02/3.61  % (1086560)Instructions burned: 328 (million)
% 18.02/3.61  % (1086563)Instruction limit reached! 
% 18.02/3.61  % (1086563)------------------------------
% 18.02/3.61  % (1086563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.02/3.61  % (1086563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.02/3.61  % (1086563)CaDiCaL version: 2.1.3
% 18.02/3.61  % (1086563)Termination reason: Instruction limit
% 18.02/3.61  % (1086563)Termination phase: Saturation
% 18.02/3.61  % (1086563)Time elapsed: 0.097 s
% 18.02/3.61  % (1086563)Peak memory usage: 105 MB
% 18.02/3.61  % (1086563)Instructions burned: 295 (million)
% 18.02/3.61  % (1086568)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4041676183:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 18.02/3.61  % (1086571)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1897718244:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 18.02/3.61  % (1086571)Instruction limit reached! 
% 18.02/3.61  % (1086571)------------------------------
% 18.02/3.61  % (1086571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.02/3.61  % (1086571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.02/3.61  % (1086571)CaDiCaL version: 2.1.3
% 18.02/3.61  % (1086571)Termination reason: Instruction limit
% 18.02/3.61  % (1086571)Termination phase: Initialization
% 18.02/3.61  % (1086571)Time elapsed: 0.027 s
% 18.02/3.61  % (1086571)Peak memory usage: 97 MB
% 18.02/3.61  % (1086571)Instructions burned: 118 (million)
% 18.02/3.61  % (1086570)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=560050173:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 18.02/3.61  % (1086569)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3853969934:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 18.02/3.61  % (1086575)lrs+10_1_sil=8000:sp=occurrence:random_seed=2399887753:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 48.16/7.87  % (1086569)Instruction limit reached! 
% 48.16/7.87  % (1086569)------------------------------
% 48.16/7.87  % (1086569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.16/7.87  % (1086569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.16/7.87  % (1086569)CaDiCaL version: 2.1.3
% 48.16/7.87  % (1086569)Termination reason: Instruction limit
% 48.16/7.87  % (1086569)Termination phase: Preprocessing 3
% 48.16/7.87  % (1086569)Time elapsed: 0.092 s
% 48.16/7.87  % (1086569)Peak memory usage: 100 MB
% 48.16/7.87  % (1086569)Instructions burned: 113 (million)
% 48.16/7.87  % (1086570)Instruction limit reached! 
% 48.16/7.87  % (1086570)------------------------------
% 48.16/7.87  % (1086570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.16/7.87  % (1086570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.16/7.87  % (1086570)CaDiCaL version: 2.1.3
% 48.16/7.87  % (1086570)Termination reason: Instruction limit
% 48.16/7.87  % (1086570)Termination phase: Naming
% 48.16/7.87  % (1086570)Time elapsed: 0.101 s
% 48.16/7.87  % (1086570)Peak memory usage: 106 MB
% 48.16/7.87  % (1086570)Instructions burned: 128 (million)
% 48.16/7.87  % (1086578)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=426803414:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 48.16/7.87  % (1086579)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1735736254:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 48.16/7.87  % (1086578)Refutation not found, incomplete strategy
% 48.16/7.87  % (1086578)------------------------------
% 48.16/7.87  % (1086578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.16/7.87  % (1086578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.16/7.87  % (1086578)CaDiCaL version: 2.1.3
% 48.16/7.87  % (1086578)Termination reason: Refutation not found, incomplete strategy
% 48.16/7.87  % (1086578)Time elapsed: 0.057 s
% 48.16/7.87  % (1086578)Peak memory usage: 102 MB
% 48.16/7.87  % (1086578)Instructions burned: 78 (million)
% 48.16/7.87  % (1086575)Instruction limit reached! 
% 48.16/7.87  % (1086575)------------------------------
% 48.16/7.87  % (1086575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.16/7.87  % (1086575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.16/7.87  % (1086575)CaDiCaL version: 2.1.3
% 48.16/7.87  % (1086575)Termination reason: Instruction limit
% 48.16/7.87  % (1086575)Termination phase: Saturation
% 48.16/7.87  % (1086575)Time elapsed: 0.290 s
% 48.16/7.87  % (1086575)Peak memory usage: 115 MB
% 48.16/7.87  % (1086575)Instructions burned: 907 (million)
% 48.16/7.87  % (1086582)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=640940772:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 48.16/7.87  % (1086578)------------------------------
% 48.16/7.87  % (1086578)------------------------------
% 48.16/7.87  % (1086582)Instruction limit reached! 
% 48.16/7.87  % (1086582)------------------------------
% 48.16/7.87  % (1086582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.16/7.87  % (1086582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.16/7.87  % (1086582)CaDiCaL version: 2.1.3
% 48.16/7.87  % (1086582)Termination reason: Instruction limit
% 48.16/7.87  % (1086582)Termination phase: Saturation
% 48.16/7.87  % (1086582)Time elapsed: 0.051 s
% 48.16/7.87  % (1086582)Peak memory usage: 103 MB
% 48.16/7.87  % (1086582)Instructions burned: 134 (million)
% 48.16/7.87  % (1086584)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1915372412:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 48.16/7.87  % (1086585)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1900328546:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 48.16/7.87  % (1086584)Instruction limit reached! 
% 48.16/7.87  % (1086584)------------------------------
% 48.16/7.87  % (1086584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.16/7.87  % (1086584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.16/7.87  % (1086584)CaDiCaL version: 2.1.3
% 48.16/7.87  % (1086584)Termination reason: Instruction limit
% 48.16/7.87  % (1086584)Termination phase: Property scanning
% 48.16/7.87  % (1086584)Time elapsed: 0.203 s
% 48.16/7.87  % (1086584)Peak memory usage: 113 MB
% 48.16/7.87  % (1086584)Instructions burned: 596 (million)
% 48.16/7.87  % (1086588)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1574401542:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/125Mi)
% 59.68/9.66  % (1086588)Instruction limit reached! 
% 59.68/9.66  % (1086588)------------------------------
% 59.68/9.66  % (1086588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.68/9.66  % (1086588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.68/9.66  % (1086588)CaDiCaL version: 2.1.3
% 59.68/9.66  % (1086588)Termination reason: Instruction limit
% 59.68/9.66  % (1086588)Termination phase: SInE selection
% 59.68/9.66  % (1086588)Time elapsed: 0.031 s
% 59.68/9.66  % (1086588)Peak memory usage: 97 MB
% 59.68/9.66  % (1086588)Instructions burned: 125 (million)
% 59.68/9.66  % (1086590)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3863586620:i=134:gtgl=5:slsql=off:gtg=exists_sym_2979 on theBenchmark for (2979ds/134Mi)
% 59.68/9.66  % (1086590)Instruction limit reached! 
% 59.68/9.66  % (1086590)------------------------------
% 59.68/9.66  % (1086590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.68/9.66  % (1086590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.68/9.66  % (1086590)CaDiCaL version: 2.1.3
% 59.68/9.66  % (1086590)Termination reason: Instruction limit
% 59.68/9.66  % (1086590)Termination phase: Initialization
% 59.68/9.66  % (1086590)Time elapsed: 0.033 s
% 59.68/9.66  % (1086590)Peak memory usage: 97 MB
% 59.68/9.66  % (1086590)Instructions burned: 134 (million)
% 59.68/9.66  % (1086592)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=980093686:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 59.68/9.66  % (1086592)Refutation not found, incomplete strategy
% 59.68/9.66  % (1086592)------------------------------
% 59.68/9.66  % (1086592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.68/9.66  % (1086592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.68/9.66  % (1086592)CaDiCaL version: 2.1.3
% 59.68/9.66  % (1086592)Termination reason: Refutation not found, incomplete strategy
% 59.68/9.66  % (1086592)Time elapsed: 0.029 s
% 59.68/9.66  % (1086592)Peak memory usage: 101 MB
% 59.68/9.66  % (1086592)Instructions burned: 60 (million)
% 59.68/9.66  % (1086592)------------------------------
% 59.68/9.66  % (1086592)------------------------------
% 59.68/9.66  % (1086594)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4038391886:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2975 on theBenchmark for (2975ds/431Mi)
% 59.68/9.66  % (1086594)Refutation not found, incomplete strategy
% 59.68/9.66  % (1086594)------------------------------
% 59.68/9.66  % (1086594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.68/9.66  % (1086594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.68/9.66  % (1086594)CaDiCaL version: 2.1.3
% 59.68/9.66  % (1086594)Termination reason: Refutation not found, incomplete strategy
% 59.68/9.66  % (1086594)Time elapsed: 0.032 s
% 59.68/9.66  % (1086594)Peak memory usage: 101 MB
% 59.68/9.66  % (1086594)Instructions burned: 65 (million)
% 59.68/9.66  % (1086568)Instruction limit reached! 
% 59.68/9.66  % (1086568)------------------------------
% 59.68/9.66  % (1086568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.68/9.66  % (1086568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.68/9.66  % (1086568)CaDiCaL version: 2.1.3
% 59.68/9.66  % (1086568)Termination reason: Instruction limit
% 59.68/9.66  % (1086568)Termination phase: Saturation
% 59.68/9.66  % (1086568)Time elapsed: 1.644 s
% 59.68/9.66  % (1086568)Peak memory usage: 272 MB
% 59.68/9.66  % (1086568)Instructions burned: 2350 (million)
% 59.68/9.66  % (1086594)------------------------------
% 59.68/9.66  % (1086594)------------------------------
% 59.68/9.66  % (1086596)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=3886092615:i=6060:aac=none:ins=25_2973 on theBenchmark for (2973ds/6060Mi)
% 59.68/9.66  % (1086597)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=4193727183:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2972 on theBenchmark for (2972ds/150Mi)
% 59.68/9.66  % (1086597)Instruction limit reached! 
% 59.68/9.66  % (1086597)------------------------------
% 59.68/9.66  % (1086597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.19/9.96  % (1086597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.19/9.96  % (1086597)CaDiCaL version: 2.1.3
% 59.19/9.96  % (1086597)Termination reason: Instruction limit
% 59.19/9.96  % (1086597)Termination phase: Preprocessing 2
% 59.19/9.96  % (1086597)Time elapsed: 0.073 s
% 59.19/9.96  % (1086597)Peak memory usage: 102 MB
% 59.19/9.96  % (1086597)Instructions burned: 150 (million)
% 59.19/9.96  % (1086600)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1428770391:i=14155:bd=all_2970 on theBenchmark for (2970ds/14155Mi)
% 59.19/9.96  % (1086579)Instruction limit reached! 
% 59.19/9.96  % (1086579)------------------------------
% 59.19/9.96  % (1086579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.19/9.96  % (1086579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.19/9.96  % (1086579)CaDiCaL version: 2.1.3
% 59.19/9.96  % (1086579)Termination reason: Instruction limit
% 59.19/9.96  % (1086579)Termination phase: Saturation
% 59.19/9.96  % (1086579)Time elapsed: 3.441 s
% 59.19/9.96  % (1086579)Peak memory usage: 361 MB
% 59.19/9.96  % (1086579)Instructions burned: 5204 (million)
% 59.19/9.96  % (1086602)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2434622987:i=667:av=off:fsr=off_2951 on theBenchmark for (2951ds/667Mi)
% 59.19/9.96  % (1086602)Instruction limit reached! 
% 59.19/9.96  % (1086602)------------------------------
% 59.19/9.96  % (1086602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.19/9.96  % (1086602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.19/9.96  % (1086602)CaDiCaL version: 2.1.3
% 59.19/9.96  % (1086602)Termination reason: Instruction limit
% 59.19/9.96  % (1086602)Termination phase: Property scanning
% 59.19/9.96  % (1086602)Time elapsed: 0.444 s
% 59.19/9.96  % (1086602)Peak memory usage: 121 MB
% 59.19/9.96  % (1086602)Instructions burned: 667 (million)
% 59.19/9.96  % (1086604)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=1336438349:s2a=on:i=185:s2at=1.8:fdi=4_2946 on theBenchmark for (2946ds/185Mi)
% 59.19/9.96  % (1086604)Instruction limit reached! 
% 59.19/9.96  % (1086604)------------------------------
% 59.19/9.96  % (1086604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.19/9.96  % (1086604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.19/9.96  % (1086604)CaDiCaL version: 2.1.3
% 59.19/9.96  % (1086604)Termination reason: Instruction limit
% 59.19/9.96  % (1086604)Termination phase: Preprocessing 2
% 59.19/9.96  % (1086604)Time elapsed: 0.144 s
% 59.19/9.96  % (1086604)Peak memory usage: 104 MB
% 59.19/9.96  % (1086604)Instructions burned: 186 (million)
% 59.19/9.96  % (1086606)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3132286698:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2943 on theBenchmark for (2943ds/193Mi)
% 59.19/9.96  % (1086606)Instruction limit reached! 
% 59.19/9.96  % (1086606)------------------------------
% 59.19/9.96  % (1086606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.19/9.96  % (1086606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.19/9.96  % (1086606)CaDiCaL version: 2.1.3
% 59.19/9.96  % (1086606)Termination reason: Instruction limit
% 59.19/9.96  % (1086606)Termination phase: Property scanning
% 59.19/9.96  % (1086606)Time elapsed: 0.141 s
% 59.19/9.96  % (1086606)Peak memory usage: 101 MB
% 59.19/9.96  % (1086606)Instructions burned: 194 (million)
% 59.19/9.96  % (1086608)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2212009512:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2940 on theBenchmark for (2940ds/4850Mi)
% 59.19/9.96  % (1086596)Instruction limit reached! 
% 59.19/9.96  % (1086596)------------------------------
% 59.19/9.96  % (1086596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.19/9.96  % (1086596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.19/9.96  % (1086596)CaDiCaL version: 2.1.3
% 59.19/9.96  % (1086596)Termination reason: Instruction limit
% 59.19/9.96  % (1086596)Termination phase: Saturation
% 59.19/9.96  % (1086596)Time elapsed: 4.176 s
% 59.19/9.96  % (1086596)Peak memory usage: 385 MB
% 59.19/9.96  % (1086596)Instructions burned: 6062 (million)
% 59.19/9.96  % (1086610)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3359426416:i=12111:sd=1:ss=included_2929 on theBenchmark for (2929ds/12111Mi)
% 59.19/9.96  % (1086600)Instruction limit reached! 
% 59.19/9.96  % (1086600)------------------------------
% 59.19/9.96  % (1086600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.19/9.96  % (1086600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.19/9.96  % (1086600)CaDiCaL version: 2.1.3
% 59.19/9.96  % (1086600)Termination reason: Instruction limit
% 59.19/9.96  % (1086600)Termination phase: Saturation
% 59.19/9.96  % (1086600)Time elapsed: 4.624 s
% 59.19/9.96  % (1086600)Peak memory usage: 425 MB
% 59.19/9.96  % (1086600)Instructions burned: 14159 (million)
% 59.19/9.96  % (1086612)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1002946246:i=319:kws=precedence:fsr=off_2922 on theBenchmark for (2922ds/319Mi)
% 59.19/9.96  % (1086612)Instruction limit reached! 
% 59.19/9.96  % (1086612)------------------------------
% 59.19/9.96  % (1086612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.19/9.96  % (1086612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.19/9.96  % (1086612)CaDiCaL version: 2.1.3
% 59.19/9.96  % (1086612)Termination reason: Instruction limit
% 59.19/9.96  % (1086612)Termination phase: Preprocessing 3
% 59.19/9.96  % (1086612)Time elapsed: 0.122 s
% 59.19/9.96  % (1086612)Peak memory usage: 114 MB
% 59.19/9.96  % (1086612)Instructions burned: 319 (million)
% 59.19/9.96  % (1086614)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3603908355:i=2064:ep=RST_2920 on theBenchmark for (2920ds/2064Mi)
% 59.19/9.96  % (1086608)Instruction limit reached! 
% 59.19/9.96  % (1086608)------------------------------
% 59.19/9.96  % (1086608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.19/9.96  % (1086608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.19/9.96  % (1086608)CaDiCaL version: 2.1.3
% 59.19/9.96  % (1086608)Termination reason: Instruction limit
% 59.19/9.96  % (1086608)Termination phase: Saturation
% 59.19/9.96  % (1086608)Time elapsed: 2.261 s
% 59.19/9.96  % (1086608)Peak memory usage: 142 MB
% 59.19/9.96  % (1086608)Instructions burned: 4851 (million)
% 59.19/9.96  % (1086616)dis-1011_128_sil=32000:random_seed=3319645713:i=3706:ep=RST:av=off_2916 on theBenchmark for (2916ds/3706Mi)
% 59.19/9.96  % (1086585)Instruction limit reached! 
% 59.19/9.96  % (1086585)------------------------------
% 59.19/9.96  % (1086585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.19/9.96  % (1086585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.19/9.96  % (1086585)CaDiCaL version: 2.1.3
% 59.19/9.96  % (1086585)Termination reason: Instruction limit
% 59.19/9.96  % (1086585)Termination phase: Saturation
% 59.19/9.96  % (1086585)Time elapsed: 6.720 s
% 59.19/9.96  % (1086585)Peak memory usage: 243 MB
% 59.19/9.96  % (1086585)Instructions burned: 13195 (million)
% 59.19/9.96  % (1086614)Instruction limit reached! 
% 59.19/9.96  % (1086614)------------------------------
% 59.19/9.96  % (1086614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.19/9.96  % (1086614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.19/9.96  % (1086614)CaDiCaL version: 2.1.3
% 59.19/9.96  % (1086614)Termination reason: Instruction limit
% 59.19/9.96  % (1086614)Termination phase: Saturation
% 59.19/9.96  % (1086614)Time elapsed: 0.563 s
% 59.19/9.96  % (1086614)Peak memory usage: 151 MB
% 59.19/9.96  % (1086614)Instructions burned: 2067 (million)
% 59.19/9.96  % (1086618)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=184909894:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2914 on theBenchmark for (2914ds/757Mi)
% 59.19/9.96  % (1086619)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1266952894:i=13913:ss=axioms:sgt=8_2914 on theBenchmark for (2914ds/13913Mi)
% 59.19/9.96  % (1086618)Refutation not found, incomplete strategy
% 59.19/9.96  % (1086618)------------------------------
% 59.19/9.96  % (1086618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.19/9.96  % (1086618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.19/9.96  % (1086618)CaDiCaL version: 2.1.3
% 59.19/9.96  % (1086618)Termination reason: Refutation not found, incomplete strategy
% 59.19/9.96  % (1086618)Time elapsed: 0.103 s
% 59.19/9.96  % (1086618)Peak memory usage: 104 MB
% 59.19/9.96  % (1086618)Instructions burned: 158 (million)
% 59.19/9.96  % (1086610)First to succeed.
% 59.19/9.96  % (1086610)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1086539"
% 59.19/9.96  % (1086618)------------------------------
% 59.19/9.97  % (1086618)------------------------------
% 59.19/9.97  % (1086622)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=2791039317:i=9925:aac=none_2909 on theBenchmark for (2909ds/9925Mi)
% 59.19/9.97  % (1086610)Refutation found. Thanks to Tanya!
% 59.19/9.97  % SZS status Theorem for theBenchmark
% 59.19/9.97  % SZS output start Proof for theBenchmark
% See solution above
% 63.54/10.20  % (1086610)------------------------------
% 63.54/10.20  % (1086610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.54/10.20  % (1086610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.54/10.20  % (1086610)CaDiCaL version: 2.1.3
% 63.54/10.20  % (1086610)Termination reason: Refutation
% 63.54/10.20  % (1086610)Time elapsed: 1.760 s
% 63.54/10.20  % (1086610)Peak memory usage: 158 MB
% 63.54/10.20  % (1086610)Instructions burned: 2643 (million)
% 63.54/10.20  % (1086610)------------------------------
% 63.54/10.20  % (1086610)------------------------------
% 63.54/10.20  % (1086539)Success in time 9.292 s
% 63.54/10.20  % Vampire exiting
%------------------------------------------------------------------------------