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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ALG217+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n020.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 32.73s 13.72s
% Output   : Refutation 80.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   35
%            Number of leaves      :   74
% Syntax   : Number of formulae    :  541 ( 113 unt;  55 def)
%            Number of atoms       : 6829 ( 105 equ)
%            Maximal formula atoms :   29 (  12 avg)
%            Number of connectives : 11480 (5192   ~;5791   |; 394   &)
%                                         (  59 <=>;  44  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   33 (  14 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   75 (  73 usr;  54 prp; 0-4 aty)
%            Number of functors    :   16 (  16 usr;   6 con; 0-4 aty)
%            Number of variables   :  488 (   0 sgn 474   !;  14   ?)

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

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

fof(f5328,axiom,
    np__0 = k1_xboole_0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_card_1) ).

fof(f24194,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/sandbox/benchmark/theBenchmark.p',rc1_rmod_2) ).

fof(f24212,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) )
         => ! [X3] :
              ( m1_rmod_2(X3,X1,X2)
             => ( r1_rlvect_1(X3,X0)
               => r1_rlvect_1(X2,X0) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_rmod_2) ).

fof(f24221,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/sandbox/benchmark/theBenchmark.p',t26_rmod_2) ).

fof(f24222,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)
             => r1_rlvect_1(X1,k1_rlvect_1(X2)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_rmod_2) ).

fof(f24227,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) )
         => m1_rmod_2(X1,X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_rmod_2) ).

fof(f24228,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/sandbox/benchmark/theBenchmark.p',t33_rmod_2) ).

fof(f24231,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/sandbox/benchmark/theBenchmark.p',t36_rmod_2) ).

fof(f24243,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/sandbox/benchmark/theBenchmark.p',t46_rmod_2) ).

fof(f24247,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/sandbox/benchmark/theBenchmark.p',t50_rmod_2) ).

fof(f24293,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/sandbox/benchmark/theBenchmark.p',dt_m1_rmod_2) ).

fof(f24297,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/sandbox/benchmark/theBenchmark.p',dt_k1_rmod_2) ).

fof(f24435,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/sandbox/benchmark/theBenchmark.p',t42_rmod_4) ).

fof(f24500,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/sandbox/benchmark/theBenchmark.p',dt_k1_rmod_5) ).

fof(f24511,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/sandbox/benchmark/theBenchmark.p',t9_rmod_5) ).

fof(f24513,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/sandbox/benchmark/theBenchmark.p',t11_rmod_5) ).

fof(f24514,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)],[f24513]) ).

fof(f24535,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,[],[f24500]) ).

fof(f24536,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,[],[f24535]) ).

fof(f24551,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,[],[f24511]) ).

fof(f24552,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,[],[f24551]) ).

fof(f24555,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,[],[f24514]) ).

fof(f24556,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,[],[f24555]) ).

fof(f24583,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,[],[f24435]) ).

fof(f24584,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,[],[f24583]) ).

fof(f24610,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,[],[f24228]) ).

fof(f24611,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,[],[f24610]) ).

fof(f24612,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,[],[f24194]) ).

fof(f24613,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,[],[f24612]) ).

fof(f24622,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,[],[f24293]) ).

fof(f24623,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,[],[f24622]) ).

fof(f24624,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,[],[f24231]) ).

fof(f24625,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,[],[f24624]) ).

fof(f24630,plain,
    ! [X0] :
      ( ! [X1] :
          ( m1_rmod_2(X1,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,[],[f24227]) ).

fof(f24631,plain,
    ! [X0] :
      ( ! [X1] :
          ( m1_rmod_2(X1,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,[],[f24630]) ).

fof(f24636,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( r1_rlvect_1(X1,k1_rlvect_1(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,[],[f24222]) ).

fof(f24637,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( r1_rlvect_1(X1,k1_rlvect_1(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,[],[f24636]) ).

fof(f24638,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,[],[f24221]) ).

fof(f24639,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,[],[f24638]) ).

fof(f24652,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ! [X3] :
              ( r1_rlvect_1(X2,X0)
              | ~ r1_rlvect_1(X3,X0)
              | ~ m1_rmod_2(X3,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) )
      | 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,[],[f24212]) ).

fof(f24653,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ! [X3] :
              ( r1_rlvect_1(X2,X0)
              | ~ r1_rlvect_1(X3,X0)
              | ~ m1_rmod_2(X3,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) )
      | 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,[],[f24652]) ).

fof(f24731,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,[],[f24297]) ).

fof(f24732,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,[],[f24731]) ).

fof(f24741,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,[],[f24247]) ).

fof(f24742,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,[],[f24741]) ).

fof(f24749,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,[],[f24243]) ).

fof(f24750,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,[],[f24749]) ).

fof(f24767,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,[],[f24552]) ).

fof(f24768,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,[],[f24767]) ).

fof(f24769,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(sK5(X0,X1,X2,X3),X1,X2,X3)
                    & k5_rmod_4(X1,X2,sK5(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,[sK5]),skolemize(X5,sK5(X0,X1,X2,X3))],[f24768]) ).

fof(f24770,plain,
    ( k1_rmod_2(sK6,sK7) != k1_rmod_5(sK6,sK7,k1_subset_1(u1_struct_0(sK7)))
    & ~ v3_struct_0(sK7)
    & v3_rlvect_1(sK7)
    & v4_rlvect_1(sK7)
    & v5_rlvect_1(sK7)
    & v6_rlvect_1(sK7)
    & v5_vectsp_2(sK7,sK6)
    & l1_vectsp_2(sK7,sK6)
    & ~ v3_struct_0(sK6)
    & v3_rlvect_1(sK6)
    & v4_rlvect_1(sK6)
    & v5_rlvect_1(sK6)
    & v6_rlvect_1(sK6)
    & v4_group_1(sK6)
    & v7_group_1(sK6)
    & v6_vectsp_1(sK6)
    & v7_vectsp_1(sK6)
    & v8_vectsp_1(sK6)
    & ~ v10_vectsp_1(sK6)
    & v2_vectsp_2(sK6)
    & l3_vectsp_1(sK6) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X0,sK6),skolemize(X1,sK7)],[f24556]) ).

fof(f24800,plain,
    ! [X0,X1] :
      ( ( m1_rmod_2(sK23(X0,X1),X0,X1)
        & ~ v3_struct_0(sK23(X0,X1))
        & v3_rlvect_1(sK23(X0,X1))
        & v4_rlvect_1(sK23(X0,X1))
        & v5_rlvect_1(sK23(X0,X1))
        & v6_rlvect_1(sK23(X0,X1))
        & v3_vectsp_2(sK23(X0,X1),X0)
        & v5_vectsp_2(sK23(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,[sK23]),skolemize(X2,sK23(X0,X1))],[f24613]) ).

fof(f24805,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( m1_rmod_2(X2,X0,X3)
                  | ( ~ r1_rlvect_1(X3,sK28(X1,X2,X3))
                    & r1_rlvect_1(X2,sK28(X1,X2,X3))
                    & m1_subset_1(sK28(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,[sK28]),skolemize(X4,sK28(X1,X2,X3))],[f24625]) ).

fof(f24831,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,[],[f24750]) ).

fof(f24839,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,[],[f24536]) ).

fof(f24840,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,[],[f24536]) ).

fof(f24854,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,sK5(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,[],[f24769]) ).

fof(f24855,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(sK5(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,[],[f24769]) ).

fof(f24858,plain,
    l3_vectsp_1(sK6),
    inference(cnf_transformation,[],[f24770]) ).

fof(f24859,plain,
    v2_vectsp_2(sK6),
    inference(cnf_transformation,[],[f24770]) ).

fof(f24860,plain,
    ~ v10_vectsp_1(sK6),
    inference(cnf_transformation,[],[f24770]) ).

fof(f24861,plain,
    v8_vectsp_1(sK6),
    inference(cnf_transformation,[],[f24770]) ).

fof(f24862,plain,
    v7_vectsp_1(sK6),
    inference(cnf_transformation,[],[f24770]) ).

fof(f24863,plain,
    v6_vectsp_1(sK6),
    inference(cnf_transformation,[],[f24770]) ).

fof(f24864,plain,
    v7_group_1(sK6),
    inference(cnf_transformation,[],[f24770]) ).

fof(f24865,plain,
    v4_group_1(sK6),
    inference(cnf_transformation,[],[f24770]) ).

fof(f24866,plain,
    v6_rlvect_1(sK6),
    inference(cnf_transformation,[],[f24770]) ).

fof(f24867,plain,
    v5_rlvect_1(sK6),
    inference(cnf_transformation,[],[f24770]) ).

fof(f24868,plain,
    v4_rlvect_1(sK6),
    inference(cnf_transformation,[],[f24770]) ).

fof(f24869,plain,
    v3_rlvect_1(sK6),
    inference(cnf_transformation,[],[f24770]) ).

fof(f24870,plain,
    ~ v3_struct_0(sK6),
    inference(cnf_transformation,[],[f24770]) ).

fof(f24871,plain,
    l1_vectsp_2(sK7,sK6),
    inference(cnf_transformation,[],[f24770]) ).

fof(f24872,plain,
    v5_vectsp_2(sK7,sK6),
    inference(cnf_transformation,[],[f24770]) ).

fof(f24873,plain,
    v6_rlvect_1(sK7),
    inference(cnf_transformation,[],[f24770]) ).

fof(f24874,plain,
    v5_rlvect_1(sK7),
    inference(cnf_transformation,[],[f24770]) ).

fof(f24875,plain,
    v4_rlvect_1(sK7),
    inference(cnf_transformation,[],[f24770]) ).

fof(f24876,plain,
    v3_rlvect_1(sK7),
    inference(cnf_transformation,[],[f24770]) ).

fof(f24877,plain,
    ~ v3_struct_0(sK7),
    inference(cnf_transformation,[],[f24770]) ).

fof(f24878,plain,
    k1_rmod_2(sK6,sK7) != k1_rmod_5(sK6,sK7,k1_subset_1(u1_struct_0(sK7))),
    inference(cnf_transformation,[],[f24770]) ).

fof(f24898,plain,
    ! [X0] : k1_xboole_0 = k1_subset_1(X0),
    inference(cnf_transformation,[],[f481]) ).

fof(f24923,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,[],[f24584]) ).

fof(f24957,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,[],[f24611]) ).

fof(f24965,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(sK23(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,[],[f24800]) ).

fof(f24987,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,[],[f24623]) ).

fof(f24988,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,[],[f24623]) ).

fof(f24989,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,[],[f24623]) ).

fof(f24990,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,[],[f24623]) ).

fof(f24991,plain,
    ! [X2,X0,X1] :
      ( v4_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,[],[f24623]) ).

fof(f24992,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,[],[f24623]) ).

fof(f24993,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,[],[f24623]) ).

fof(f24995,plain,
    ! [X2,X3,X0,X1] :
      ( ~ v8_vectsp_1(X0)
      | r1_rlvect_1(X2,sK28(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,[],[f24805]) ).

fof(f24996,plain,
    ! [X2,X3,X0,X1] :
      ( ~ v8_vectsp_1(X0)
      | ~ r1_rlvect_1(X3,sK28(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,[],[f24805]) ).

fof(f24999,plain,
    ! [X0,X1] :
      ( m1_rmod_2(X1,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(cnf_transformation,[],[f24631]) ).

fof(f25002,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)
      | r1_rlvect_1(X1,k1_rlvect_1(X2))
      | ~ l3_vectsp_1(X0) ),
    inference(cnf_transformation,[],[f24637]) ).

fof(f25003,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,[],[f24639]) ).

fof(f25010,plain,
    ! [X2,X3,X0,X1] :
      ( ~ v8_vectsp_1(X1)
      | ~ r1_rlvect_1(X3,X0)
      | ~ m1_rmod_2(X3,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)
      | 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)
      | r1_rlvect_1(X2,X0)
      | ~ l3_vectsp_1(X1) ),
    inference(cnf_transformation,[],[f24653]) ).

fof(f25012,plain,
    k1_xboole_0 = np__0,
    inference(cnf_transformation,[],[f5328]) ).

fof(f25032,plain,
    ! [X0] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)),
    inference(cnf_transformation,[],[f486]) ).

fof(f25116,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,[],[f24732]) ).

fof(f25117,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,[],[f24732]) ).

fof(f25123,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,[],[f24742]) ).

fof(f25127,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,[],[f24831]) ).

fof(f25131,plain,
    ! [X0] : k1_subset_1(X0) = np__0,
    inference(definition_unfolding,[],[f24898,f25012]) ).

fof(f25137,plain,
    k1_rmod_2(sK6,sK7) != k1_rmod_5(sK6,sK7,np__0),
    inference(definition_unfolding,[],[f24878,f25131]) ).

fof(f25147,plain,
    ! [X2,X0,X1] :
      ( ~ m2_rmod_4(X2,X0,X1,np__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,[],[f24923,f25131]) ).

fof(f25167,plain,
    ! [X0] : m1_subset_1(np__0,k1_zfmisc_1(X0)),
    inference(definition_unfolding,[],[f25032,f25012]) ).

fof(f25204,definition,
    sF39 = k1_rmod_2(sK6,sK7),
    introduced(definition,[new_symbols(definition,[sF39])],[function_definition]) ).

fof(f25205,plain,
    k1_rmod_2(sK6,sK7) = sF39,
    inference(reorient_equations,[],[f25204]) ).

fof(f25206,definition,
    sF40 = k1_rmod_5(sK6,sK7,np__0),
    introduced(definition,[new_symbols(definition,[sF40])],[function_definition]) ).

fof(f25207,plain,
    k1_rmod_5(sK6,sK7,np__0) = sF40,
    inference(reorient_equations,[],[f25206]) ).

fof(f25208,plain,
    sF39 != sF40,
    inference(definition_folding,[],[f25137,f25207,f25205]) ).

fof(f25231,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,[],[f24957,f24993]) ).

fof(f25263,definition,
    ( spl41_11
  <=> l3_vectsp_1(sK6) ),
    introduced(definition,[new_symbols(definition,[spl41_11])],[avatar_definition]) ).

fof(f25265,plain,
    ( l3_vectsp_1(sK6)
    | ~ spl41_11 ),
    inference(avatar_component_clause,[],[f25263]) ).

fof(f25266,plain,
    spl41_11,
    inference(avatar_split_clause,[],[f24858,f25263]) ).

fof(f25268,definition,
    ( spl41_12
  <=> v2_vectsp_2(sK6) ),
    introduced(definition,[new_symbols(definition,[spl41_12])],[avatar_definition]) ).

fof(f25270,plain,
    ( v2_vectsp_2(sK6)
    | ~ spl41_12 ),
    inference(avatar_component_clause,[],[f25268]) ).

fof(f25271,plain,
    spl41_12,
    inference(avatar_split_clause,[],[f24859,f25268]) ).

fof(f25273,definition,
    ( spl41_13
  <=> v10_vectsp_1(sK6) ),
    introduced(definition,[new_symbols(definition,[spl41_13])],[avatar_definition]) ).

fof(f25275,plain,
    ( ~ v10_vectsp_1(sK6)
    | spl41_13 ),
    inference(avatar_component_clause,[],[f25273]) ).

fof(f25276,plain,
    ~ spl41_13,
    inference(avatar_split_clause,[],[f24860,f25273]) ).

fof(f25278,definition,
    ( spl41_14
  <=> v8_vectsp_1(sK6) ),
    introduced(definition,[new_symbols(definition,[spl41_14])],[avatar_definition]) ).

fof(f25280,plain,
    ( v8_vectsp_1(sK6)
    | ~ spl41_14 ),
    inference(avatar_component_clause,[],[f25278]) ).

fof(f25281,plain,
    spl41_14,
    inference(avatar_split_clause,[],[f24861,f25278]) ).

fof(f25283,definition,
    ( spl41_15
  <=> v7_vectsp_1(sK6) ),
    introduced(definition,[new_symbols(definition,[spl41_15])],[avatar_definition]) ).

fof(f25285,plain,
    ( v7_vectsp_1(sK6)
    | ~ spl41_15 ),
    inference(avatar_component_clause,[],[f25283]) ).

fof(f25286,plain,
    spl41_15,
    inference(avatar_split_clause,[],[f24862,f25283]) ).

fof(f25288,definition,
    ( spl41_16
  <=> v6_vectsp_1(sK6) ),
    introduced(definition,[new_symbols(definition,[spl41_16])],[avatar_definition]) ).

fof(f25290,plain,
    ( v6_vectsp_1(sK6)
    | ~ spl41_16 ),
    inference(avatar_component_clause,[],[f25288]) ).

fof(f25291,plain,
    spl41_16,
    inference(avatar_split_clause,[],[f24863,f25288]) ).

fof(f25293,definition,
    ( spl41_17
  <=> v7_group_1(sK6) ),
    introduced(definition,[new_symbols(definition,[spl41_17])],[avatar_definition]) ).

fof(f25295,plain,
    ( v7_group_1(sK6)
    | ~ spl41_17 ),
    inference(avatar_component_clause,[],[f25293]) ).

fof(f25296,plain,
    spl41_17,
    inference(avatar_split_clause,[],[f24864,f25293]) ).

fof(f25298,definition,
    ( spl41_18
  <=> v4_group_1(sK6) ),
    introduced(definition,[new_symbols(definition,[spl41_18])],[avatar_definition]) ).

fof(f25300,plain,
    ( v4_group_1(sK6)
    | ~ spl41_18 ),
    inference(avatar_component_clause,[],[f25298]) ).

fof(f25301,plain,
    spl41_18,
    inference(avatar_split_clause,[],[f24865,f25298]) ).

fof(f25303,definition,
    ( spl41_19
  <=> v6_rlvect_1(sK6) ),
    introduced(definition,[new_symbols(definition,[spl41_19])],[avatar_definition]) ).

fof(f25305,plain,
    ( v6_rlvect_1(sK6)
    | ~ spl41_19 ),
    inference(avatar_component_clause,[],[f25303]) ).

fof(f25306,plain,
    spl41_19,
    inference(avatar_split_clause,[],[f24866,f25303]) ).

fof(f25308,definition,
    ( spl41_20
  <=> v5_rlvect_1(sK6) ),
    introduced(definition,[new_symbols(definition,[spl41_20])],[avatar_definition]) ).

fof(f25310,plain,
    ( v5_rlvect_1(sK6)
    | ~ spl41_20 ),
    inference(avatar_component_clause,[],[f25308]) ).

fof(f25311,plain,
    spl41_20,
    inference(avatar_split_clause,[],[f24867,f25308]) ).

fof(f25313,definition,
    ( spl41_21
  <=> v4_rlvect_1(sK6) ),
    introduced(definition,[new_symbols(definition,[spl41_21])],[avatar_definition]) ).

fof(f25315,plain,
    ( v4_rlvect_1(sK6)
    | ~ spl41_21 ),
    inference(avatar_component_clause,[],[f25313]) ).

fof(f25316,plain,
    spl41_21,
    inference(avatar_split_clause,[],[f24868,f25313]) ).

fof(f25318,definition,
    ( spl41_22
  <=> v3_rlvect_1(sK6) ),
    introduced(definition,[new_symbols(definition,[spl41_22])],[avatar_definition]) ).

fof(f25320,plain,
    ( v3_rlvect_1(sK6)
    | ~ spl41_22 ),
    inference(avatar_component_clause,[],[f25318]) ).

fof(f25321,plain,
    spl41_22,
    inference(avatar_split_clause,[],[f24869,f25318]) ).

fof(f25323,definition,
    ( spl41_23
  <=> v3_struct_0(sK6) ),
    introduced(definition,[new_symbols(definition,[spl41_23])],[avatar_definition]) ).

fof(f25325,plain,
    ( ~ v3_struct_0(sK6)
    | spl41_23 ),
    inference(avatar_component_clause,[],[f25323]) ).

fof(f25326,plain,
    ~ spl41_23,
    inference(avatar_split_clause,[],[f24870,f25323]) ).

fof(f25328,definition,
    ( spl41_24
  <=> l1_vectsp_2(sK7,sK6) ),
    introduced(definition,[new_symbols(definition,[spl41_24])],[avatar_definition]) ).

fof(f25330,plain,
    ( l1_vectsp_2(sK7,sK6)
    | ~ spl41_24 ),
    inference(avatar_component_clause,[],[f25328]) ).

fof(f25331,plain,
    spl41_24,
    inference(avatar_split_clause,[],[f24871,f25328]) ).

fof(f25333,definition,
    ( spl41_25
  <=> v5_vectsp_2(sK7,sK6) ),
    introduced(definition,[new_symbols(definition,[spl41_25])],[avatar_definition]) ).

fof(f25335,plain,
    ( v5_vectsp_2(sK7,sK6)
    | ~ spl41_25 ),
    inference(avatar_component_clause,[],[f25333]) ).

fof(f25336,plain,
    spl41_25,
    inference(avatar_split_clause,[],[f24872,f25333]) ).

fof(f25338,definition,
    ( spl41_26
  <=> v6_rlvect_1(sK7) ),
    introduced(definition,[new_symbols(definition,[spl41_26])],[avatar_definition]) ).

fof(f25340,plain,
    ( v6_rlvect_1(sK7)
    | ~ spl41_26 ),
    inference(avatar_component_clause,[],[f25338]) ).

fof(f25341,plain,
    spl41_26,
    inference(avatar_split_clause,[],[f24873,f25338]) ).

fof(f25343,definition,
    ( spl41_27
  <=> v5_rlvect_1(sK7) ),
    introduced(definition,[new_symbols(definition,[spl41_27])],[avatar_definition]) ).

fof(f25345,plain,
    ( v5_rlvect_1(sK7)
    | ~ spl41_27 ),
    inference(avatar_component_clause,[],[f25343]) ).

fof(f25346,plain,
    spl41_27,
    inference(avatar_split_clause,[],[f24874,f25343]) ).

fof(f25348,definition,
    ( spl41_28
  <=> v4_rlvect_1(sK7) ),
    introduced(definition,[new_symbols(definition,[spl41_28])],[avatar_definition]) ).

fof(f25350,plain,
    ( v4_rlvect_1(sK7)
    | ~ spl41_28 ),
    inference(avatar_component_clause,[],[f25348]) ).

fof(f25351,plain,
    spl41_28,
    inference(avatar_split_clause,[],[f24875,f25348]) ).

fof(f25353,definition,
    ( spl41_29
  <=> v3_rlvect_1(sK7) ),
    introduced(definition,[new_symbols(definition,[spl41_29])],[avatar_definition]) ).

fof(f25355,plain,
    ( v3_rlvect_1(sK7)
    | ~ spl41_29 ),
    inference(avatar_component_clause,[],[f25353]) ).

fof(f25356,plain,
    spl41_29,
    inference(avatar_split_clause,[],[f24876,f25353]) ).

fof(f25358,definition,
    ( spl41_30
  <=> v3_struct_0(sK7) ),
    introduced(definition,[new_symbols(definition,[spl41_30])],[avatar_definition]) ).

fof(f25360,plain,
    ( ~ v3_struct_0(sK7)
    | spl41_30 ),
    inference(avatar_component_clause,[],[f25358]) ).

fof(f25361,plain,
    ~ spl41_30,
    inference(avatar_split_clause,[],[f24877,f25358]) ).

fof(f25363,definition,
    ( spl41_31
  <=> sF39 = sF40 ),
    introduced(definition,[new_symbols(definition,[spl41_31])],[avatar_definition]) ).

fof(f25365,plain,
    ( sF39 != sF40
    | spl41_31 ),
    inference(avatar_component_clause,[],[f25363]) ).

fof(f25366,plain,
    ~ spl41_31,
    inference(avatar_split_clause,[],[f25208,f25363]) ).

fof(f25368,definition,
    ( spl41_32
  <=> k1_rmod_2(sK6,sK7) = sF39 ),
    introduced(definition,[new_symbols(definition,[spl41_32])],[avatar_definition]) ).

fof(f25370,plain,
    ( k1_rmod_2(sK6,sK7) = sF39
    | ~ spl41_32 ),
    inference(avatar_component_clause,[],[f25368]) ).

fof(f25371,plain,
    spl41_32,
    inference(avatar_split_clause,[],[f25205,f25368]) ).

fof(f25373,definition,
    ( spl41_33
  <=> k1_rmod_5(sK6,sK7,np__0) = sF40 ),
    introduced(definition,[new_symbols(definition,[spl41_33])],[avatar_definition]) ).

fof(f25375,plain,
    ( k1_rmod_5(sK6,sK7,np__0) = sF40
    | ~ spl41_33 ),
    inference(avatar_component_clause,[],[f25373]) ).

fof(f25376,plain,
    spl41_33,
    inference(avatar_split_clause,[],[f25207,f25373]) ).

fof(f25379,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,[],[f25231,f24992]) ).

fof(f25380,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,[],[f25379,f24991]) ).

fof(f25381,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,[],[f25380,f24990]) ).

fof(f25382,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,[],[f25381,f24989]) ).

fof(f25383,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,[],[f25382,f24988]) ).

fof(f25384,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,[],[f25383,f24987]) ).

fof(f25410,plain,
    ( v3_vectsp_2(k1_rmod_2(sK6,sK7),sK6)
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30 ),
    inference(unit_resulting_resolution,[],[f25117,f25355,f25360,f25340,f25345,f25350,f25330,f25335,f25265,f25280,f25285,f25290,f25300,f25305,f25310,f25315,f25320,f25325]) ).

fof(f25413,plain,
    ( v3_vectsp_2(sF39,sK6)
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_32 ),
    inference(forward_demodulation,[],[f25410,f25370]) ).

fof(f25416,definition,
    ( spl41_35
  <=> v3_vectsp_2(sF39,sK6) ),
    introduced(definition,[new_symbols(definition,[spl41_35])],[avatar_definition]) ).

fof(f25418,plain,
    ( v3_vectsp_2(sF39,sK6)
    | ~ spl41_35 ),
    inference(avatar_component_clause,[],[f25416]) ).

fof(f25419,plain,
    ( spl41_35
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_32 ),
    inference(avatar_split_clause,[],[f25413,f25368,f25358,f25353,f25348,f25343,f25338,f25333,f25328,f25323,f25318,f25313,f25308,f25303,f25298,f25288,f25283,f25278,f25263,f25416]) ).

fof(f25427,plain,
    ( m1_rmod_2(k1_rmod_2(sK6,sK7),sK6,sK7)
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30 ),
    inference(unit_resulting_resolution,[],[f25116,f25355,f25360,f25340,f25345,f25350,f25330,f25335,f25265,f25280,f25285,f25290,f25300,f25305,f25310,f25315,f25320,f25325]) ).

fof(f25430,plain,
    ( m1_rmod_2(sF39,sK6,sK7)
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_32 ),
    inference(forward_demodulation,[],[f25427,f25370]) ).

fof(f25433,definition,
    ( spl41_36
  <=> m1_rmod_2(sF39,sK6,sK7) ),
    introduced(definition,[new_symbols(definition,[spl41_36])],[avatar_definition]) ).

fof(f25435,plain,
    ( m1_rmod_2(sF39,sK6,sK7)
    | ~ spl41_36 ),
    inference(avatar_component_clause,[],[f25433]) ).

fof(f25436,plain,
    ( spl41_36
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_32 ),
    inference(avatar_split_clause,[],[f25430,f25368,f25358,f25353,f25348,f25343,f25338,f25333,f25328,f25323,f25318,f25313,f25308,f25303,f25298,f25288,f25283,f25278,f25263,f25433]) ).

fof(f25473,definition,
    ( spl41_38
  <=> l1_vectsp_2(sF39,sK6) ),
    introduced(definition,[new_symbols(definition,[spl41_38])],[avatar_definition]) ).

fof(f25474,plain,
    ( l1_vectsp_2(sF39,sK6)
    | ~ spl41_38 ),
    inference(avatar_component_clause,[],[f25473]) ).

fof(f25475,plain,
    ( ~ l1_vectsp_2(sF39,sK6)
    | spl41_38 ),
    inference(avatar_component_clause,[],[f25473]) ).

fof(f25477,definition,
    ( spl41_39
  <=> v5_vectsp_2(sF39,sK6) ),
    introduced(definition,[new_symbols(definition,[spl41_39])],[avatar_definition]) ).

fof(f25478,plain,
    ( v5_vectsp_2(sF39,sK6)
    | ~ spl41_39 ),
    inference(avatar_component_clause,[],[f25477]) ).

fof(f25479,plain,
    ( ~ v5_vectsp_2(sF39,sK6)
    | spl41_39 ),
    inference(avatar_component_clause,[],[f25477]) ).

fof(f25481,definition,
    ( spl41_40
  <=> v6_rlvect_1(sF39) ),
    introduced(definition,[new_symbols(definition,[spl41_40])],[avatar_definition]) ).

fof(f25482,plain,
    ( v6_rlvect_1(sF39)
    | ~ spl41_40 ),
    inference(avatar_component_clause,[],[f25481]) ).

fof(f25483,plain,
    ( ~ v6_rlvect_1(sF39)
    | spl41_40 ),
    inference(avatar_component_clause,[],[f25481]) ).

fof(f25485,definition,
    ( spl41_41
  <=> v5_rlvect_1(sF39) ),
    introduced(definition,[new_symbols(definition,[spl41_41])],[avatar_definition]) ).

fof(f25486,plain,
    ( v5_rlvect_1(sF39)
    | ~ spl41_41 ),
    inference(avatar_component_clause,[],[f25485]) ).

fof(f25489,definition,
    ( spl41_42
  <=> v4_rlvect_1(sF39) ),
    introduced(definition,[new_symbols(definition,[spl41_42])],[avatar_definition]) ).

fof(f25490,plain,
    ( v4_rlvect_1(sF39)
    | ~ spl41_42 ),
    inference(avatar_component_clause,[],[f25489]) ).

fof(f25493,definition,
    ( spl41_43
  <=> v3_rlvect_1(sF39) ),
    introduced(definition,[new_symbols(definition,[spl41_43])],[avatar_definition]) ).

fof(f25494,plain,
    ( v3_rlvect_1(sF39)
    | ~ spl41_43 ),
    inference(avatar_component_clause,[],[f25493]) ).

fof(f25495,plain,
    ( ~ v3_rlvect_1(sF39)
    | spl41_43 ),
    inference(avatar_component_clause,[],[f25493]) ).

fof(f25497,definition,
    ( spl41_44
  <=> v3_struct_0(sF39) ),
    introduced(definition,[new_symbols(definition,[spl41_44])],[avatar_definition]) ).

fof(f25498,plain,
    ( ~ v3_struct_0(sF39)
    | spl41_44 ),
    inference(avatar_component_clause,[],[f25497]) ).

fof(f25499,plain,
    ( v3_struct_0(sF39)
    | ~ spl41_44 ),
    inference(avatar_component_clause,[],[f25497]) ).

fof(f25548,plain,
    ( ! [X0,X1] :
        ( ~ r1_rlvect_1(k1_rmod_2(sK6,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,sK6)
        | ~ l1_vectsp_2(X0,sK6)
        | v3_struct_0(sK6)
        | ~ v3_rlvect_1(sK6)
        | ~ v4_rlvect_1(sK6)
        | ~ v5_rlvect_1(sK6)
        | ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | k1_rlvect_1(X0) = X1
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14 ),
    inference(resolution,[],[f25127,f25280]) ).

fof(f25549,plain,
    ( ! [X0,X1] :
        ( ~ r1_rlvect_1(k1_rmod_2(sK6,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,sK6)
        | ~ l1_vectsp_2(X0,sK6)
        | ~ v3_rlvect_1(sK6)
        | ~ v4_rlvect_1(sK6)
        | ~ v5_rlvect_1(sK6)
        | ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | k1_rlvect_1(X0) = X1
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f25548,f25325]) ).

fof(f25550,plain,
    ( ! [X0,X1] :
        ( ~ r1_rlvect_1(k1_rmod_2(sK6,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,sK6)
        | ~ l1_vectsp_2(X0,sK6)
        | ~ v4_rlvect_1(sK6)
        | ~ v5_rlvect_1(sK6)
        | ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | k1_rlvect_1(X0) = X1
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f25549,f25320]) ).

fof(f25551,plain,
    ( ! [X0,X1] :
        ( ~ r1_rlvect_1(k1_rmod_2(sK6,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,sK6)
        | ~ l1_vectsp_2(X0,sK6)
        | ~ v5_rlvect_1(sK6)
        | ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | k1_rlvect_1(X0) = X1
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f25550,f25315]) ).

fof(f25552,plain,
    ( ! [X0,X1] :
        ( ~ r1_rlvect_1(k1_rmod_2(sK6,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,sK6)
        | ~ l1_vectsp_2(X0,sK6)
        | ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | k1_rlvect_1(X0) = X1
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f25551,f25310]) ).

fof(f25553,plain,
    ( ! [X0,X1] :
        ( ~ r1_rlvect_1(k1_rmod_2(sK6,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,sK6)
        | ~ l1_vectsp_2(X0,sK6)
        | ~ v4_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | k1_rlvect_1(X0) = X1
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f25552,f25305]) ).

fof(f25554,plain,
    ( ! [X0,X1] :
        ( ~ r1_rlvect_1(k1_rmod_2(sK6,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,sK6)
        | ~ l1_vectsp_2(X0,sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | k1_rlvect_1(X0) = X1
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f25553,f25300]) ).

fof(f25555,plain,
    ( ! [X0,X1] :
        ( ~ r1_rlvect_1(k1_rmod_2(sK6,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,sK6)
        | ~ l1_vectsp_2(X0,sK6)
        | ~ v7_vectsp_1(sK6)
        | k1_rlvect_1(X0) = X1
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f25554,f25290]) ).

fof(f25556,plain,
    ( ! [X0,X1] :
        ( ~ r1_rlvect_1(k1_rmod_2(sK6,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,sK6)
        | ~ l1_vectsp_2(X0,sK6)
        | k1_rlvect_1(X0) = X1
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f25555,f25285]) ).

fof(f25557,plain,
    ( ! [X0,X1] :
        ( ~ v5_vectsp_2(X0,sK6)
        | 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(sK6,X0),X1)
        | ~ l1_vectsp_2(X0,sK6)
        | k1_rlvect_1(X0) = X1 )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f25556,f25265]) ).

fof(f25558,plain,
    ( ! [X0] :
        ( v3_struct_0(sK7)
        | ~ v3_rlvect_1(sK7)
        | ~ v4_rlvect_1(sK7)
        | ~ v5_rlvect_1(sK7)
        | ~ v6_rlvect_1(sK7)
        | ~ r1_rlvect_1(k1_rmod_2(sK6,sK7),X0)
        | ~ l1_vectsp_2(sK7,sK6)
        | k1_rlvect_1(sK7) = X0 )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_25 ),
    inference(resolution,[],[f25557,f25335]) ).

fof(f25559,plain,
    ( ! [X0] :
        ( ~ v3_rlvect_1(sK7)
        | ~ v4_rlvect_1(sK7)
        | ~ v5_rlvect_1(sK7)
        | ~ v6_rlvect_1(sK7)
        | ~ r1_rlvect_1(k1_rmod_2(sK6,sK7),X0)
        | ~ l1_vectsp_2(sK7,sK6)
        | k1_rlvect_1(sK7) = X0 )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_25
    | spl41_30 ),
    inference(forward_subsumption_resolution,[],[f25558,f25360]) ).

fof(f25560,plain,
    ( ! [X0] :
        ( ~ v4_rlvect_1(sK7)
        | ~ v5_rlvect_1(sK7)
        | ~ v6_rlvect_1(sK7)
        | ~ r1_rlvect_1(k1_rmod_2(sK6,sK7),X0)
        | ~ l1_vectsp_2(sK7,sK6)
        | k1_rlvect_1(sK7) = X0 )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_25
    | ~ spl41_29
    | spl41_30 ),
    inference(forward_subsumption_resolution,[],[f25559,f25355]) ).

fof(f25561,plain,
    ( ! [X0] :
        ( ~ v5_rlvect_1(sK7)
        | ~ v6_rlvect_1(sK7)
        | ~ r1_rlvect_1(k1_rmod_2(sK6,sK7),X0)
        | ~ l1_vectsp_2(sK7,sK6)
        | k1_rlvect_1(sK7) = X0 )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_25
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30 ),
    inference(forward_subsumption_resolution,[],[f25560,f25350]) ).

fof(f25562,plain,
    ( ! [X0] :
        ( ~ v6_rlvect_1(sK7)
        | ~ r1_rlvect_1(k1_rmod_2(sK6,sK7),X0)
        | ~ l1_vectsp_2(sK7,sK6)
        | k1_rlvect_1(sK7) = X0 )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_25
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30 ),
    inference(forward_subsumption_resolution,[],[f25561,f25345]) ).

fof(f25563,plain,
    ( ! [X0] :
        ( ~ r1_rlvect_1(k1_rmod_2(sK6,sK7),X0)
        | ~ l1_vectsp_2(sK7,sK6)
        | k1_rlvect_1(sK7) = X0 )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30 ),
    inference(forward_subsumption_resolution,[],[f25562,f25340]) ).

fof(f25564,plain,
    ( ! [X0] :
        ( ~ r1_rlvect_1(k1_rmod_2(sK6,sK7),X0)
        | k1_rlvect_1(sK7) = X0 )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30 ),
    inference(forward_subsumption_resolution,[],[f25563,f25330]) ).

fof(f25565,plain,
    ( ! [X0] :
        ( ~ r1_rlvect_1(sF39,X0)
        | k1_rlvect_1(sK7) = X0 )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_32 ),
    inference(forward_demodulation,[],[f25564,f25370]) ).

fof(f25608,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK6,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,sK6)
        | ~ l1_vectsp_2(X1,sK6)
        | v3_struct_0(sK6)
        | ~ v3_rlvect_1(sK6)
        | ~ v4_rlvect_1(sK6)
        | ~ v5_rlvect_1(sK6)
        | ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | m1_rmod_2(k1_rmod_2(sK6,X1),sK6,X0)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14 ),
    inference(resolution,[],[f25123,f25280]) ).

fof(f25609,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK6,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,sK6)
        | ~ l1_vectsp_2(X1,sK6)
        | ~ v3_rlvect_1(sK6)
        | ~ v4_rlvect_1(sK6)
        | ~ v5_rlvect_1(sK6)
        | ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | m1_rmod_2(k1_rmod_2(sK6,X1),sK6,X0)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f25608,f25325]) ).

fof(f25612,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK6,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,sK6)
        | ~ l1_vectsp_2(X1,sK6)
        | ~ v4_rlvect_1(sK6)
        | ~ v5_rlvect_1(sK6)
        | ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | m1_rmod_2(k1_rmod_2(sK6,X1),sK6,X0)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f25609,f25320]) ).

fof(f25618,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK6,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,sK6)
        | ~ l1_vectsp_2(X1,sK6)
        | ~ v5_rlvect_1(sK6)
        | ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | m1_rmod_2(k1_rmod_2(sK6,X1),sK6,X0)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f25612,f25315]) ).

fof(f25619,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK6,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,sK6)
        | ~ l1_vectsp_2(X1,sK6)
        | ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | m1_rmod_2(k1_rmod_2(sK6,X1),sK6,X0)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f25618,f25310]) ).

fof(f25620,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK6,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,sK6)
        | ~ l1_vectsp_2(X1,sK6)
        | ~ v4_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | m1_rmod_2(k1_rmod_2(sK6,X1),sK6,X0)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f25619,f25305]) ).

fof(f25621,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK6,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,sK6)
        | ~ l1_vectsp_2(X1,sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | m1_rmod_2(k1_rmod_2(sK6,X1),sK6,X0)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f25620,f25300]) ).

fof(f25622,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK6,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,sK6)
        | ~ l1_vectsp_2(X1,sK6)
        | ~ v7_vectsp_1(sK6)
        | m1_rmod_2(k1_rmod_2(sK6,X1),sK6,X0)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f25621,f25290]) ).

fof(f25623,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK6,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,sK6)
        | ~ l1_vectsp_2(X1,sK6)
        | m1_rmod_2(k1_rmod_2(sK6,X1),sK6,X0)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f25622,f25285]) ).

fof(f25624,plain,
    ( ! [X0,X1] :
        ( ~ v5_vectsp_2(X1,sK6)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ m1_rmod_2(X0,sK6,X1)
        | ~ l1_vectsp_2(X1,sK6)
        | m1_rmod_2(k1_rmod_2(sK6,X1),sK6,X0) )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f25623,f25265]) ).

fof(f25839,plain,
    ( ! [X0] :
        ( v3_struct_0(sK6)
        | ~ v3_rlvect_1(sK6)
        | ~ v4_rlvect_1(sK6)
        | ~ v5_rlvect_1(sK6)
        | ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | m1_rmod_2(sK23(sK6,X0),sK6,X0)
        | ~ l3_vectsp_1(sK6)
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK6)
        | ~ l1_vectsp_2(X0,sK6) )
    | ~ spl41_14 ),
    inference(resolution,[],[f24965,f25280]) ).

fof(f25840,plain,
    ( ! [X0] :
        ( ~ v3_rlvect_1(sK6)
        | ~ v4_rlvect_1(sK6)
        | ~ v5_rlvect_1(sK6)
        | ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | m1_rmod_2(sK23(sK6,X0),sK6,X0)
        | ~ l3_vectsp_1(sK6)
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK6)
        | ~ l1_vectsp_2(X0,sK6) )
    | ~ spl41_14
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f25839,f25325]) ).

fof(f25846,plain,
    ( ! [X0] :
        ( ~ v4_rlvect_1(sK6)
        | ~ v5_rlvect_1(sK6)
        | ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | m1_rmod_2(sK23(sK6,X0),sK6,X0)
        | ~ l3_vectsp_1(sK6)
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK6)
        | ~ l1_vectsp_2(X0,sK6) )
    | ~ spl41_14
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f25840,f25320]) ).

fof(f25847,plain,
    ( ! [X0] :
        ( ~ v5_rlvect_1(sK6)
        | ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | m1_rmod_2(sK23(sK6,X0),sK6,X0)
        | ~ l3_vectsp_1(sK6)
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK6)
        | ~ l1_vectsp_2(X0,sK6) )
    | ~ spl41_14
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f25846,f25315]) ).

fof(f25848,plain,
    ( ! [X0] :
        ( ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | m1_rmod_2(sK23(sK6,X0),sK6,X0)
        | ~ l3_vectsp_1(sK6)
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK6)
        | ~ l1_vectsp_2(X0,sK6) )
    | ~ spl41_14
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f25847,f25310]) ).

fof(f25849,plain,
    ( ! [X0] :
        ( ~ v4_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | m1_rmod_2(sK23(sK6,X0),sK6,X0)
        | ~ l3_vectsp_1(sK6)
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK6)
        | ~ l1_vectsp_2(X0,sK6) )
    | ~ spl41_14
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f25848,f25305]) ).

fof(f25850,plain,
    ( ! [X0] :
        ( ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | m1_rmod_2(sK23(sK6,X0),sK6,X0)
        | ~ l3_vectsp_1(sK6)
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK6)
        | ~ l1_vectsp_2(X0,sK6) )
    | ~ spl41_14
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f25849,f25300]) ).

fof(f25851,plain,
    ( ! [X0] :
        ( ~ v7_vectsp_1(sK6)
        | m1_rmod_2(sK23(sK6,X0),sK6,X0)
        | ~ l3_vectsp_1(sK6)
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK6)
        | ~ l1_vectsp_2(X0,sK6) )
    | ~ spl41_14
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f25850,f25290]) ).

fof(f25852,plain,
    ( ! [X0] :
        ( m1_rmod_2(sK23(sK6,X0),sK6,X0)
        | ~ l3_vectsp_1(sK6)
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | ~ v5_vectsp_2(X0,sK6)
        | ~ l1_vectsp_2(X0,sK6) )
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f25851,f25285]) ).

fof(f25853,plain,
    ( ! [X0] :
        ( ~ v5_vectsp_2(X0,sK6)
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | ~ v6_rlvect_1(X0)
        | m1_rmod_2(sK23(sK6,X0),sK6,X0)
        | ~ l1_vectsp_2(X0,sK6) )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f25852,f25265]) ).

fof(f25874,plain,
    ( ~ v4_rlvect_1(sK6)
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_36
    | spl41_38 ),
    inference(unit_resulting_resolution,[],[f24987,f25320,f25340,f25345,f25350,f25355,f25360,f25265,f25325,f25285,f25290,f25300,f25305,f25310,f25330,f25335,f25475,f25435,f25280]) ).

fof(f25916,plain,
    ( $false
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_36
    | spl41_38 ),
    inference(forward_subsumption_resolution,[],[f25874,f25315]) ).

fof(f25917,plain,
    ( ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_36
    | spl41_38 ),
    inference(avatar_contradiction_clause,[],[f25916]) ).

fof(f25944,plain,
    ( ~ v4_rlvect_1(sK6)
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_36
    | spl41_39 ),
    inference(unit_resulting_resolution,[],[f24988,f25320,f25340,f25345,f25350,f25355,f25360,f25265,f25325,f25285,f25290,f25300,f25305,f25310,f25330,f25335,f25479,f25435,f25280]) ).

fof(f25986,plain,
    ( $false
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_36
    | spl41_39 ),
    inference(forward_subsumption_resolution,[],[f25944,f25315]) ).

fof(f25987,plain,
    ( ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_36
    | spl41_39 ),
    inference(avatar_contradiction_clause,[],[f25986]) ).

fof(f26003,plain,
    ( v3_struct_0(sF39)
    | ~ v3_rlvect_1(sF39)
    | ~ v4_rlvect_1(sF39)
    | ~ v5_rlvect_1(sF39)
    | ~ v6_rlvect_1(sF39)
    | m1_rmod_2(sK23(sK6,sF39),sK6,sF39)
    | ~ l1_vectsp_2(sF39,sK6)
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_39 ),
    inference(resolution,[],[f25478,f25853]) ).

fof(f26019,plain,
    ( ! [X0] :
        ( v3_struct_0(sK7)
        | ~ v3_rlvect_1(sK7)
        | ~ v4_rlvect_1(sK7)
        | ~ v5_rlvect_1(sK7)
        | ~ v6_rlvect_1(sK7)
        | ~ m1_rmod_2(X0,sK6,sK7)
        | ~ l1_vectsp_2(sK7,sK6)
        | m1_rmod_2(k1_rmod_2(sK6,sK7),sK6,X0) )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_25 ),
    inference(resolution,[],[f25624,f25335]) ).

fof(f26021,plain,
    ( ! [X0] :
        ( ~ v3_rlvect_1(sK7)
        | ~ v4_rlvect_1(sK7)
        | ~ v5_rlvect_1(sK7)
        | ~ v6_rlvect_1(sK7)
        | ~ m1_rmod_2(X0,sK6,sK7)
        | ~ l1_vectsp_2(sK7,sK6)
        | m1_rmod_2(k1_rmod_2(sK6,sK7),sK6,X0) )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_25
    | spl41_30 ),
    inference(forward_subsumption_resolution,[],[f26019,f25360]) ).

fof(f26024,plain,
    ( ! [X0] :
        ( ~ v4_rlvect_1(sK7)
        | ~ v5_rlvect_1(sK7)
        | ~ v6_rlvect_1(sK7)
        | ~ m1_rmod_2(X0,sK6,sK7)
        | ~ l1_vectsp_2(sK7,sK6)
        | m1_rmod_2(k1_rmod_2(sK6,sK7),sK6,X0) )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_25
    | ~ spl41_29
    | spl41_30 ),
    inference(forward_subsumption_resolution,[],[f26021,f25355]) ).

fof(f26025,plain,
    ( ! [X0] :
        ( ~ v5_rlvect_1(sK7)
        | ~ v6_rlvect_1(sK7)
        | ~ m1_rmod_2(X0,sK6,sK7)
        | ~ l1_vectsp_2(sK7,sK6)
        | m1_rmod_2(k1_rmod_2(sK6,sK7),sK6,X0) )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_25
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30 ),
    inference(forward_subsumption_resolution,[],[f26024,f25350]) ).

fof(f26026,plain,
    ( ! [X0] :
        ( ~ v6_rlvect_1(sK7)
        | ~ m1_rmod_2(X0,sK6,sK7)
        | ~ l1_vectsp_2(sK7,sK6)
        | m1_rmod_2(k1_rmod_2(sK6,sK7),sK6,X0) )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_25
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30 ),
    inference(forward_subsumption_resolution,[],[f26025,f25345]) ).

fof(f26027,plain,
    ( ! [X0] :
        ( ~ m1_rmod_2(X0,sK6,sK7)
        | ~ l1_vectsp_2(sK7,sK6)
        | m1_rmod_2(k1_rmod_2(sK6,sK7),sK6,X0) )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30 ),
    inference(forward_subsumption_resolution,[],[f26026,f25340]) ).

fof(f26028,plain,
    ( ! [X0] :
        ( ~ m1_rmod_2(X0,sK6,sK7)
        | m1_rmod_2(k1_rmod_2(sK6,sK7),sK6,X0) )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30 ),
    inference(forward_subsumption_resolution,[],[f26027,f25330]) ).

fof(f26029,plain,
    ( ! [X0] :
        ( m1_rmod_2(sF39,sK6,X0)
        | ~ m1_rmod_2(X0,sK6,sK7) )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_32 ),
    inference(forward_demodulation,[],[f26028,f25370]) ).

fof(f26035,plain,
    ( m1_rmod_2(k1_rmod_5(sK6,sK7,np__0),sK6,sK7)
    | ~ spl41_11
    | ~ spl41_12
    | spl41_13
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30 ),
    inference(unit_resulting_resolution,[],[f24839,f25325,f25355,f25360,f25340,f25345,f25350,f25330,f25335,f25265,f25270,f25275,f25280,f25285,f25290,f25295,f25300,f25305,f25310,f25315,f25320,f25167]) ).

fof(f26036,plain,
    ( v3_vectsp_2(k1_rmod_5(sK6,sK7,np__0),sK6)
    | ~ spl41_11
    | ~ spl41_12
    | spl41_13
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30 ),
    inference(unit_resulting_resolution,[],[f24840,f25325,f25355,f25360,f25340,f25345,f25350,f25330,f25335,f25265,f25270,f25275,f25280,f25285,f25290,f25295,f25300,f25305,f25310,f25315,f25320,f25167]) ).

fof(f26040,plain,
    ! [X2,X0,X1] :
      ( ~ v2_vectsp_2(X0)
      | k5_rmod_4(X0,X1,sK5(X2,X0,X1,np__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,np__0),X2)
      | ~ l3_vectsp_1(X0) ),
    inference(resolution,[],[f25167,f24854]) ).

fof(f26041,plain,
    ! [X2,X0,X1] :
      ( ~ v2_vectsp_2(X0)
      | m2_rmod_4(sK5(X2,X0,X1,np__0),X0,X1,np__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,np__0),X2)
      | ~ l3_vectsp_1(X0) ),
    inference(resolution,[],[f25167,f24855]) ).

fof(f26049,plain,
    ( m1_rmod_2(sF40,sK6,sK7)
    | ~ spl41_11
    | ~ spl41_12
    | spl41_13
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_33 ),
    inference(forward_demodulation,[],[f26035,f25375]) ).

fof(f26050,plain,
    ( v3_vectsp_2(sF40,sK6)
    | ~ spl41_11
    | ~ spl41_12
    | spl41_13
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_33 ),
    inference(forward_demodulation,[],[f26036,f25375]) ).

fof(f26057,definition,
    ( spl41_66
  <=> m1_rmod_2(sF40,sK6,sK7) ),
    introduced(definition,[new_symbols(definition,[spl41_66])],[avatar_definition]) ).

fof(f26059,plain,
    ( m1_rmod_2(sF40,sK6,sK7)
    | ~ spl41_66 ),
    inference(avatar_component_clause,[],[f26057]) ).

fof(f26060,plain,
    ( spl41_66
    | ~ spl41_11
    | ~ spl41_12
    | spl41_13
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_33 ),
    inference(avatar_split_clause,[],[f26049,f25373,f25358,f25353,f25348,f25343,f25338,f25333,f25328,f25323,f25318,f25313,f25308,f25303,f25298,f25293,f25288,f25283,f25278,f25273,f25268,f25263,f26057]) ).

fof(f26062,definition,
    ( spl41_67
  <=> v3_vectsp_2(sF40,sK6) ),
    introduced(definition,[new_symbols(definition,[spl41_67])],[avatar_definition]) ).

fof(f26064,plain,
    ( v3_vectsp_2(sF40,sK6)
    | ~ spl41_67 ),
    inference(avatar_component_clause,[],[f26062]) ).

fof(f26065,plain,
    ( spl41_67
    | ~ spl41_11
    | ~ spl41_12
    | spl41_13
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_33 ),
    inference(avatar_split_clause,[],[f26050,f25373,f25358,f25353,f25348,f25343,f25338,f25333,f25328,f25323,f25318,f25313,f25308,f25303,f25298,f25293,f25288,f25283,f25278,f25273,f25268,f25263,f26062]) ).

fof(f26066,plain,
    ( m1_rmod_2(sF39,sK6,sF40)
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_32
    | ~ spl41_66 ),
    inference(unit_resulting_resolution,[],[f26029,f26059]) ).

fof(f26074,plain,
    ( l1_vectsp_2(sF40,sK6)
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_66 ),
    inference(unit_resulting_resolution,[],[f24987,f25320,f25325,f25340,f25345,f25350,f25355,f25360,f25265,f25280,f25285,f25290,f25300,f25305,f25310,f25315,f25330,f25335,f26059]) ).

fof(f26075,plain,
    ( v5_vectsp_2(sF40,sK6)
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_66 ),
    inference(unit_resulting_resolution,[],[f24988,f25320,f25325,f25340,f25345,f25350,f25355,f25360,f25265,f25280,f25285,f25290,f25300,f25305,f25310,f25315,f25330,f25335,f26059]) ).

fof(f26106,definition,
    ( spl41_71
  <=> m1_rmod_2(sF39,sK6,sF40) ),
    introduced(definition,[new_symbols(definition,[spl41_71])],[avatar_definition]) ).

fof(f26108,plain,
    ( m1_rmod_2(sF39,sK6,sF40)
    | ~ spl41_71 ),
    inference(avatar_component_clause,[],[f26106]) ).

fof(f26109,plain,
    ( spl41_71
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_32
    | ~ spl41_66 ),
    inference(avatar_split_clause,[],[f26066,f26057,f25368,f25358,f25353,f25348,f25343,f25338,f25333,f25328,f25323,f25318,f25313,f25308,f25303,f25298,f25288,f25283,f25278,f25263,f26106]) ).

fof(f26115,definition,
    ( spl41_72
  <=> l1_vectsp_2(sF40,sK6) ),
    introduced(definition,[new_symbols(definition,[spl41_72])],[avatar_definition]) ).

fof(f26117,plain,
    ( l1_vectsp_2(sF40,sK6)
    | ~ spl41_72 ),
    inference(avatar_component_clause,[],[f26115]) ).

fof(f26118,plain,
    ( spl41_72
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_66 ),
    inference(avatar_split_clause,[],[f26074,f26057,f25358,f25353,f25348,f25343,f25338,f25333,f25328,f25323,f25318,f25313,f25308,f25303,f25298,f25288,f25283,f25278,f25263,f26115]) ).

fof(f26120,definition,
    ( spl41_73
  <=> v5_vectsp_2(sF40,sK6) ),
    introduced(definition,[new_symbols(definition,[spl41_73])],[avatar_definition]) ).

fof(f26122,plain,
    ( v5_vectsp_2(sF40,sK6)
    | ~ spl41_73 ),
    inference(avatar_component_clause,[],[f26120]) ).

fof(f26123,plain,
    ( spl41_73
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_66 ),
    inference(avatar_split_clause,[],[f26075,f26057,f25358,f25353,f25348,f25343,f25338,f25333,f25328,f25323,f25318,f25313,f25308,f25303,f25298,f25288,f25283,f25278,f25263,f26120]) ).

fof(f26163,definition,
    ( spl41_76
  <=> v6_rlvect_1(sF40) ),
    introduced(definition,[new_symbols(definition,[spl41_76])],[avatar_definition]) ).

fof(f26164,plain,
    ( v6_rlvect_1(sF40)
    | ~ spl41_76 ),
    inference(avatar_component_clause,[],[f26163]) ).

fof(f26165,plain,
    ( ~ v6_rlvect_1(sF40)
    | spl41_76 ),
    inference(avatar_component_clause,[],[f26163]) ).

fof(f26167,definition,
    ( spl41_77
  <=> v5_rlvect_1(sF40) ),
    introduced(definition,[new_symbols(definition,[spl41_77])],[avatar_definition]) ).

fof(f26168,plain,
    ( v5_rlvect_1(sF40)
    | ~ spl41_77 ),
    inference(avatar_component_clause,[],[f26167]) ).

fof(f26171,definition,
    ( spl41_78
  <=> v4_rlvect_1(sF40) ),
    introduced(definition,[new_symbols(definition,[spl41_78])],[avatar_definition]) ).

fof(f26172,plain,
    ( v4_rlvect_1(sF40)
    | ~ spl41_78 ),
    inference(avatar_component_clause,[],[f26171]) ).

fof(f26175,definition,
    ( spl41_79
  <=> v3_rlvect_1(sF40) ),
    introduced(definition,[new_symbols(definition,[spl41_79])],[avatar_definition]) ).

fof(f26176,plain,
    ( v3_rlvect_1(sF40)
    | ~ spl41_79 ),
    inference(avatar_component_clause,[],[f26175]) ).

fof(f26177,plain,
    ( ~ v3_rlvect_1(sF40)
    | spl41_79 ),
    inference(avatar_component_clause,[],[f26175]) ).

fof(f26179,definition,
    ( spl41_80
  <=> v3_struct_0(sF40) ),
    introduced(definition,[new_symbols(definition,[spl41_80])],[avatar_definition]) ).

fof(f26180,plain,
    ( ~ v3_struct_0(sF40)
    | spl41_80 ),
    inference(avatar_component_clause,[],[f26179]) ).

fof(f26181,plain,
    ( v3_struct_0(sF40)
    | ~ spl41_80 ),
    inference(avatar_component_clause,[],[f26179]) ).

fof(f26324,plain,
    ( ! [X0,X1] :
        ( k5_rmod_4(sK6,X0,sK5(X1,sK6,X0,np__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,sK6)
        | ~ l1_vectsp_2(X0,sK6)
        | v3_struct_0(sK6)
        | ~ v3_rlvect_1(sK6)
        | ~ v4_rlvect_1(sK6)
        | ~ v5_rlvect_1(sK6)
        | ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v7_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | ~ v8_vectsp_1(sK6)
        | v10_vectsp_1(sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,X0,np__0),X1)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_12 ),
    inference(resolution,[],[f26040,f25270]) ).

fof(f26325,plain,
    ( ! [X0,X1] :
        ( k5_rmod_4(sK6,X0,sK5(X1,sK6,X0,np__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,sK6)
        | ~ l1_vectsp_2(X0,sK6)
        | ~ v3_rlvect_1(sK6)
        | ~ v4_rlvect_1(sK6)
        | ~ v5_rlvect_1(sK6)
        | ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v7_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | ~ v8_vectsp_1(sK6)
        | v10_vectsp_1(sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,X0,np__0),X1)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_12
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26324,f25325]) ).

fof(f26326,plain,
    ( ! [X0,X1] :
        ( k5_rmod_4(sK6,X0,sK5(X1,sK6,X0,np__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,sK6)
        | ~ l1_vectsp_2(X0,sK6)
        | ~ v4_rlvect_1(sK6)
        | ~ v5_rlvect_1(sK6)
        | ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v7_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | ~ v8_vectsp_1(sK6)
        | v10_vectsp_1(sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,X0,np__0),X1)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_12
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26325,f25320]) ).

fof(f26327,plain,
    ( ! [X0,X1] :
        ( k5_rmod_4(sK6,X0,sK5(X1,sK6,X0,np__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,sK6)
        | ~ l1_vectsp_2(X0,sK6)
        | ~ v5_rlvect_1(sK6)
        | ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v7_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | ~ v8_vectsp_1(sK6)
        | v10_vectsp_1(sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,X0,np__0),X1)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_12
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26326,f25315]) ).

fof(f26328,plain,
    ( ! [X0,X1] :
        ( k5_rmod_4(sK6,X0,sK5(X1,sK6,X0,np__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,sK6)
        | ~ l1_vectsp_2(X0,sK6)
        | ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v7_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | ~ v8_vectsp_1(sK6)
        | v10_vectsp_1(sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,X0,np__0),X1)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_12
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26327,f25310]) ).

fof(f26329,plain,
    ( ! [X0,X1] :
        ( k5_rmod_4(sK6,X0,sK5(X1,sK6,X0,np__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,sK6)
        | ~ l1_vectsp_2(X0,sK6)
        | ~ v4_group_1(sK6)
        | ~ v7_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | ~ v8_vectsp_1(sK6)
        | v10_vectsp_1(sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,X0,np__0),X1)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_12
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26328,f25305]) ).

fof(f26330,plain,
    ( ! [X0,X1] :
        ( k5_rmod_4(sK6,X0,sK5(X1,sK6,X0,np__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,sK6)
        | ~ l1_vectsp_2(X0,sK6)
        | ~ v7_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | ~ v8_vectsp_1(sK6)
        | v10_vectsp_1(sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,X0,np__0),X1)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_12
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26329,f25300]) ).

fof(f26331,plain,
    ( ! [X0,X1] :
        ( k5_rmod_4(sK6,X0,sK5(X1,sK6,X0,np__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,sK6)
        | ~ l1_vectsp_2(X0,sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | ~ v8_vectsp_1(sK6)
        | v10_vectsp_1(sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,X0,np__0),X1)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_12
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26330,f25295]) ).

fof(f26332,plain,
    ( ! [X0,X1] :
        ( k5_rmod_4(sK6,X0,sK5(X1,sK6,X0,np__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,sK6)
        | ~ l1_vectsp_2(X0,sK6)
        | ~ v7_vectsp_1(sK6)
        | ~ v8_vectsp_1(sK6)
        | v10_vectsp_1(sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,X0,np__0),X1)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_12
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26331,f25290]) ).

fof(f26333,plain,
    ( ! [X0,X1] :
        ( k5_rmod_4(sK6,X0,sK5(X1,sK6,X0,np__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,sK6)
        | ~ l1_vectsp_2(X0,sK6)
        | ~ v8_vectsp_1(sK6)
        | v10_vectsp_1(sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,X0,np__0),X1)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_12
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26332,f25285]) ).

fof(f26334,plain,
    ( ! [X0,X1] :
        ( k5_rmod_4(sK6,X0,sK5(X1,sK6,X0,np__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,sK6)
        | ~ l1_vectsp_2(X0,sK6)
        | v10_vectsp_1(sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,X0,np__0),X1)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_12
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26333,f25280]) ).

fof(f26335,plain,
    ( ! [X0,X1] :
        ( k5_rmod_4(sK6,X0,sK5(X1,sK6,X0,np__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,sK6)
        | ~ l1_vectsp_2(X0,sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,X0,np__0),X1)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_12
    | spl41_13
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26334,f25275]) ).

fof(f26336,plain,
    ( ! [X0,X1] :
        ( ~ v6_rlvect_1(X0)
        | v3_struct_0(X0)
        | ~ v3_rlvect_1(X0)
        | ~ v4_rlvect_1(X0)
        | ~ v5_rlvect_1(X0)
        | k5_rmod_4(sK6,X0,sK5(X1,sK6,X0,np__0)) = X1
        | ~ v5_vectsp_2(X0,sK6)
        | ~ l1_vectsp_2(X0,sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,X0,np__0),X1) )
    | ~ spl41_11
    | ~ spl41_12
    | spl41_13
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26335,f25265]) ).

fof(f26337,plain,
    ( ! [X0] :
        ( v3_struct_0(sK7)
        | ~ v3_rlvect_1(sK7)
        | ~ v4_rlvect_1(sK7)
        | ~ v5_rlvect_1(sK7)
        | k5_rmod_4(sK6,sK7,sK5(X0,sK6,sK7,np__0)) = X0
        | ~ v5_vectsp_2(sK7,sK6)
        | ~ l1_vectsp_2(sK7,sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,sK7,np__0),X0) )
    | ~ spl41_11
    | ~ spl41_12
    | spl41_13
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_26 ),
    inference(resolution,[],[f26336,f25340]) ).

fof(f26339,plain,
    ( ! [X0] :
        ( ~ v3_rlvect_1(sK7)
        | ~ v4_rlvect_1(sK7)
        | ~ v5_rlvect_1(sK7)
        | k5_rmod_4(sK6,sK7,sK5(X0,sK6,sK7,np__0)) = X0
        | ~ v5_vectsp_2(sK7,sK6)
        | ~ l1_vectsp_2(sK7,sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,sK7,np__0),X0) )
    | ~ spl41_11
    | ~ spl41_12
    | spl41_13
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_26
    | spl41_30 ),
    inference(forward_subsumption_resolution,[],[f26337,f25360]) ).

fof(f26340,plain,
    ( ! [X0] :
        ( ~ v4_rlvect_1(sK7)
        | ~ v5_rlvect_1(sK7)
        | k5_rmod_4(sK6,sK7,sK5(X0,sK6,sK7,np__0)) = X0
        | ~ v5_vectsp_2(sK7,sK6)
        | ~ l1_vectsp_2(sK7,sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,sK7,np__0),X0) )
    | ~ spl41_11
    | ~ spl41_12
    | spl41_13
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_26
    | ~ spl41_29
    | spl41_30 ),
    inference(forward_subsumption_resolution,[],[f26339,f25355]) ).

fof(f26341,plain,
    ( ! [X0] :
        ( ~ v5_rlvect_1(sK7)
        | k5_rmod_4(sK6,sK7,sK5(X0,sK6,sK7,np__0)) = X0
        | ~ v5_vectsp_2(sK7,sK6)
        | ~ l1_vectsp_2(sK7,sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,sK7,np__0),X0) )
    | ~ spl41_11
    | ~ spl41_12
    | spl41_13
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_26
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30 ),
    inference(forward_subsumption_resolution,[],[f26340,f25350]) ).

fof(f26342,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK6,sK7,sK5(X0,sK6,sK7,np__0)) = X0
        | ~ v5_vectsp_2(sK7,sK6)
        | ~ l1_vectsp_2(sK7,sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,sK7,np__0),X0) )
    | ~ spl41_11
    | ~ spl41_12
    | spl41_13
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30 ),
    inference(forward_subsumption_resolution,[],[f26341,f25345]) ).

fof(f26343,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK6,sK7,sK5(X0,sK6,sK7,np__0)) = X0
        | ~ l1_vectsp_2(sK7,sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,sK7,np__0),X0) )
    | ~ spl41_11
    | ~ spl41_12
    | spl41_13
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30 ),
    inference(forward_subsumption_resolution,[],[f26342,f25335]) ).

fof(f26344,plain,
    ( ! [X0] :
        ( k5_rmod_4(sK6,sK7,sK5(X0,sK6,sK7,np__0)) = X0
        | ~ r1_rlvect_1(k1_rmod_5(sK6,sK7,np__0),X0) )
    | ~ spl41_11
    | ~ spl41_12
    | spl41_13
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30 ),
    inference(forward_subsumption_resolution,[],[f26343,f25330]) ).

fof(f26345,plain,
    ( ! [X0] :
        ( ~ r1_rlvect_1(sF40,X0)
        | k5_rmod_4(sK6,sK7,sK5(X0,sK6,sK7,np__0)) = X0 )
    | ~ spl41_11
    | ~ spl41_12
    | spl41_13
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_33 ),
    inference(forward_demodulation,[],[f26344,f25375]) ).

fof(f26347,plain,
    ( ! [X0,X1] :
        ( m2_rmod_4(sK5(X0,sK6,X1,np__0),sK6,X1,np__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,sK6)
        | ~ l1_vectsp_2(X1,sK6)
        | v3_struct_0(sK6)
        | ~ v3_rlvect_1(sK6)
        | ~ v4_rlvect_1(sK6)
        | ~ v5_rlvect_1(sK6)
        | ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v7_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | ~ v8_vectsp_1(sK6)
        | v10_vectsp_1(sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,X1,np__0),X0)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_12 ),
    inference(resolution,[],[f26041,f25270]) ).

fof(f26348,plain,
    ( ! [X0,X1] :
        ( m2_rmod_4(sK5(X0,sK6,X1,np__0),sK6,X1,np__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,sK6)
        | ~ l1_vectsp_2(X1,sK6)
        | ~ v3_rlvect_1(sK6)
        | ~ v4_rlvect_1(sK6)
        | ~ v5_rlvect_1(sK6)
        | ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v7_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | ~ v8_vectsp_1(sK6)
        | v10_vectsp_1(sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,X1,np__0),X0)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_12
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26347,f25325]) ).

fof(f26349,plain,
    ( ! [X0,X1] :
        ( m2_rmod_4(sK5(X0,sK6,X1,np__0),sK6,X1,np__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,sK6)
        | ~ l1_vectsp_2(X1,sK6)
        | ~ v4_rlvect_1(sK6)
        | ~ v5_rlvect_1(sK6)
        | ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v7_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | ~ v8_vectsp_1(sK6)
        | v10_vectsp_1(sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,X1,np__0),X0)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_12
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26348,f25320]) ).

fof(f26350,plain,
    ( ! [X0,X1] :
        ( m2_rmod_4(sK5(X0,sK6,X1,np__0),sK6,X1,np__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,sK6)
        | ~ l1_vectsp_2(X1,sK6)
        | ~ v5_rlvect_1(sK6)
        | ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v7_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | ~ v8_vectsp_1(sK6)
        | v10_vectsp_1(sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,X1,np__0),X0)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_12
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26349,f25315]) ).

fof(f26351,plain,
    ( ! [X0,X1] :
        ( m2_rmod_4(sK5(X0,sK6,X1,np__0),sK6,X1,np__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,sK6)
        | ~ l1_vectsp_2(X1,sK6)
        | ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v7_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | ~ v8_vectsp_1(sK6)
        | v10_vectsp_1(sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,X1,np__0),X0)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_12
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26350,f25310]) ).

fof(f26352,plain,
    ( ! [X0,X1] :
        ( m2_rmod_4(sK5(X0,sK6,X1,np__0),sK6,X1,np__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,sK6)
        | ~ l1_vectsp_2(X1,sK6)
        | ~ v4_group_1(sK6)
        | ~ v7_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | ~ v8_vectsp_1(sK6)
        | v10_vectsp_1(sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,X1,np__0),X0)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_12
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26351,f25305]) ).

fof(f26353,plain,
    ( ! [X0,X1] :
        ( m2_rmod_4(sK5(X0,sK6,X1,np__0),sK6,X1,np__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,sK6)
        | ~ l1_vectsp_2(X1,sK6)
        | ~ v7_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | ~ v8_vectsp_1(sK6)
        | v10_vectsp_1(sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,X1,np__0),X0)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_12
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26352,f25300]) ).

fof(f26354,plain,
    ( ! [X0,X1] :
        ( m2_rmod_4(sK5(X0,sK6,X1,np__0),sK6,X1,np__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,sK6)
        | ~ l1_vectsp_2(X1,sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | ~ v8_vectsp_1(sK6)
        | v10_vectsp_1(sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,X1,np__0),X0)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_12
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26353,f25295]) ).

fof(f26355,plain,
    ( ! [X0,X1] :
        ( m2_rmod_4(sK5(X0,sK6,X1,np__0),sK6,X1,np__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,sK6)
        | ~ l1_vectsp_2(X1,sK6)
        | ~ v7_vectsp_1(sK6)
        | ~ v8_vectsp_1(sK6)
        | v10_vectsp_1(sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,X1,np__0),X0)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_12
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26354,f25290]) ).

fof(f26356,plain,
    ( ! [X0,X1] :
        ( m2_rmod_4(sK5(X0,sK6,X1,np__0),sK6,X1,np__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,sK6)
        | ~ l1_vectsp_2(X1,sK6)
        | ~ v8_vectsp_1(sK6)
        | v10_vectsp_1(sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,X1,np__0),X0)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_12
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26355,f25285]) ).

fof(f26357,plain,
    ( ! [X0,X1] :
        ( m2_rmod_4(sK5(X0,sK6,X1,np__0),sK6,X1,np__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,sK6)
        | ~ l1_vectsp_2(X1,sK6)
        | v10_vectsp_1(sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,X1,np__0),X0)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_12
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26356,f25280]) ).

fof(f26358,plain,
    ( ! [X0,X1] :
        ( m2_rmod_4(sK5(X0,sK6,X1,np__0),sK6,X1,np__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,sK6)
        | ~ l1_vectsp_2(X1,sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,X1,np__0),X0)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_12
    | spl41_13
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26357,f25275]) ).

fof(f26359,plain,
    ( ! [X0,X1] :
        ( ~ v6_rlvect_1(X1)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | m2_rmod_4(sK5(X0,sK6,X1,np__0),sK6,X1,np__0)
        | ~ v5_vectsp_2(X1,sK6)
        | ~ l1_vectsp_2(X1,sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,X1,np__0),X0) )
    | ~ spl41_11
    | ~ spl41_12
    | spl41_13
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26358,f25265]) ).

fof(f26396,plain,
    ( ! [X0] :
        ( v3_struct_0(sK7)
        | ~ v3_rlvect_1(sK7)
        | ~ v4_rlvect_1(sK7)
        | ~ v5_rlvect_1(sK7)
        | m2_rmod_4(sK5(X0,sK6,sK7,np__0),sK6,sK7,np__0)
        | ~ v5_vectsp_2(sK7,sK6)
        | ~ l1_vectsp_2(sK7,sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,sK7,np__0),X0) )
    | ~ spl41_11
    | ~ spl41_12
    | spl41_13
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_26 ),
    inference(resolution,[],[f26359,f25340]) ).

fof(f26398,plain,
    ( ! [X0] :
        ( ~ v3_rlvect_1(sK7)
        | ~ v4_rlvect_1(sK7)
        | ~ v5_rlvect_1(sK7)
        | m2_rmod_4(sK5(X0,sK6,sK7,np__0),sK6,sK7,np__0)
        | ~ v5_vectsp_2(sK7,sK6)
        | ~ l1_vectsp_2(sK7,sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,sK7,np__0),X0) )
    | ~ spl41_11
    | ~ spl41_12
    | spl41_13
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_26
    | spl41_30 ),
    inference(forward_subsumption_resolution,[],[f26396,f25360]) ).

fof(f26399,plain,
    ( ! [X0] :
        ( ~ v4_rlvect_1(sK7)
        | ~ v5_rlvect_1(sK7)
        | m2_rmod_4(sK5(X0,sK6,sK7,np__0),sK6,sK7,np__0)
        | ~ v5_vectsp_2(sK7,sK6)
        | ~ l1_vectsp_2(sK7,sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,sK7,np__0),X0) )
    | ~ spl41_11
    | ~ spl41_12
    | spl41_13
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_26
    | ~ spl41_29
    | spl41_30 ),
    inference(forward_subsumption_resolution,[],[f26398,f25355]) ).

fof(f26400,plain,
    ( ! [X0] :
        ( ~ v5_rlvect_1(sK7)
        | m2_rmod_4(sK5(X0,sK6,sK7,np__0),sK6,sK7,np__0)
        | ~ v5_vectsp_2(sK7,sK6)
        | ~ l1_vectsp_2(sK7,sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,sK7,np__0),X0) )
    | ~ spl41_11
    | ~ spl41_12
    | spl41_13
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_26
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30 ),
    inference(forward_subsumption_resolution,[],[f26399,f25350]) ).

fof(f26401,plain,
    ( ! [X0] :
        ( m2_rmod_4(sK5(X0,sK6,sK7,np__0),sK6,sK7,np__0)
        | ~ v5_vectsp_2(sK7,sK6)
        | ~ l1_vectsp_2(sK7,sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,sK7,np__0),X0) )
    | ~ spl41_11
    | ~ spl41_12
    | spl41_13
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30 ),
    inference(forward_subsumption_resolution,[],[f26400,f25345]) ).

fof(f26402,plain,
    ( ! [X0] :
        ( m2_rmod_4(sK5(X0,sK6,sK7,np__0),sK6,sK7,np__0)
        | ~ l1_vectsp_2(sK7,sK6)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,sK7,np__0),X0) )
    | ~ spl41_11
    | ~ spl41_12
    | spl41_13
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30 ),
    inference(forward_subsumption_resolution,[],[f26401,f25335]) ).

fof(f26403,plain,
    ( ! [X0] :
        ( m2_rmod_4(sK5(X0,sK6,sK7,np__0),sK6,sK7,np__0)
        | ~ r1_rlvect_1(k1_rmod_5(sK6,sK7,np__0),X0) )
    | ~ spl41_11
    | ~ spl41_12
    | spl41_13
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30 ),
    inference(forward_subsumption_resolution,[],[f26402,f25330]) ).

fof(f26404,plain,
    ( ! [X0] :
        ( ~ r1_rlvect_1(sF40,X0)
        | m2_rmod_4(sK5(X0,sK6,sK7,np__0),sK6,sK7,np__0) )
    | ~ spl41_11
    | ~ spl41_12
    | spl41_13
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_33 ),
    inference(forward_demodulation,[],[f26403,f25375]) ).

fof(f26559,plain,
    ( ! [X2,X0,X1] :
        ( ~ r1_rlvect_1(X0,X1)
        | ~ m1_rmod_2(X0,sK6,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,sK6)
        | ~ l1_vectsp_2(X2,sK6)
        | v3_struct_0(sK6)
        | ~ v3_rlvect_1(sK6)
        | ~ v4_rlvect_1(sK6)
        | ~ v5_rlvect_1(sK6)
        | ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | r1_rlvect_1(X2,X1)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14 ),
    inference(resolution,[],[f25010,f25280]) ).

fof(f26560,plain,
    ( ! [X2,X0,X1] :
        ( ~ r1_rlvect_1(X0,X1)
        | ~ m1_rmod_2(X0,sK6,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,sK6)
        | ~ l1_vectsp_2(X2,sK6)
        | ~ v3_rlvect_1(sK6)
        | ~ v4_rlvect_1(sK6)
        | ~ v5_rlvect_1(sK6)
        | ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | r1_rlvect_1(X2,X1)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26559,f25325]) ).

fof(f26561,plain,
    ( ! [X2,X0,X1] :
        ( ~ r1_rlvect_1(X0,X1)
        | ~ m1_rmod_2(X0,sK6,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,sK6)
        | ~ l1_vectsp_2(X2,sK6)
        | ~ v4_rlvect_1(sK6)
        | ~ v5_rlvect_1(sK6)
        | ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | r1_rlvect_1(X2,X1)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26560,f25320]) ).

fof(f26562,plain,
    ( ! [X2,X0,X1] :
        ( ~ r1_rlvect_1(X0,X1)
        | ~ m1_rmod_2(X0,sK6,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,sK6)
        | ~ l1_vectsp_2(X2,sK6)
        | ~ v5_rlvect_1(sK6)
        | ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | r1_rlvect_1(X2,X1)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26561,f25315]) ).

fof(f26563,plain,
    ( ! [X2,X0,X1] :
        ( ~ r1_rlvect_1(X0,X1)
        | ~ m1_rmod_2(X0,sK6,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,sK6)
        | ~ l1_vectsp_2(X2,sK6)
        | ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | r1_rlvect_1(X2,X1)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26562,f25310]) ).

fof(f26564,plain,
    ( ! [X2,X0,X1] :
        ( ~ r1_rlvect_1(X0,X1)
        | ~ m1_rmod_2(X0,sK6,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,sK6)
        | ~ l1_vectsp_2(X2,sK6)
        | ~ v4_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | r1_rlvect_1(X2,X1)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26563,f25305]) ).

fof(f26565,plain,
    ( ! [X2,X0,X1] :
        ( ~ r1_rlvect_1(X0,X1)
        | ~ m1_rmod_2(X0,sK6,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,sK6)
        | ~ l1_vectsp_2(X2,sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | r1_rlvect_1(X2,X1)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26564,f25300]) ).

fof(f26566,plain,
    ( ! [X2,X0,X1] :
        ( ~ r1_rlvect_1(X0,X1)
        | ~ m1_rmod_2(X0,sK6,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,sK6)
        | ~ l1_vectsp_2(X2,sK6)
        | ~ v7_vectsp_1(sK6)
        | r1_rlvect_1(X2,X1)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26565,f25290]) ).

fof(f26567,plain,
    ( ! [X2,X0,X1] :
        ( ~ r1_rlvect_1(X0,X1)
        | ~ m1_rmod_2(X0,sK6,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,sK6)
        | ~ l1_vectsp_2(X2,sK6)
        | r1_rlvect_1(X2,X1)
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26566,f25285]) ).

fof(f26568,plain,
    ( ! [X2,X0,X1] :
        ( ~ v5_vectsp_2(X2,sK6)
        | ~ m1_rmod_2(X0,sK6,X2)
        | v3_struct_0(X2)
        | ~ v3_rlvect_1(X2)
        | ~ v4_rlvect_1(X2)
        | ~ v5_rlvect_1(X2)
        | ~ v6_rlvect_1(X2)
        | ~ r1_rlvect_1(X0,X1)
        | ~ l1_vectsp_2(X2,sK6)
        | r1_rlvect_1(X2,X1) )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26567,f25265]) ).

fof(f26743,plain,
    ( v5_rlvect_1(sF39)
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_36 ),
    inference(unit_resulting_resolution,[],[f24990,f25320,f25325,f25340,f25345,f25350,f25355,f25360,f25265,f25280,f25285,f25290,f25300,f25305,f25310,f25315,f25330,f25335,f25435]) ).

fof(f26745,plain,
    ( v5_rlvect_1(sF40)
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_66 ),
    inference(unit_resulting_resolution,[],[f24990,f25320,f25325,f25340,f25345,f25350,f25355,f25360,f25265,f25280,f25285,f25290,f25300,f25305,f25310,f25315,f25330,f25335,f26059]) ).

fof(f26746,plain,
    ( spl41_41
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_36 ),
    inference(avatar_split_clause,[],[f26743,f25433,f25358,f25353,f25348,f25343,f25338,f25333,f25328,f25323,f25318,f25313,f25308,f25303,f25298,f25288,f25283,f25278,f25263,f25485]) ).

fof(f26747,plain,
    ( spl41_77
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_66 ),
    inference(avatar_split_clause,[],[f26745,f26057,f25358,f25353,f25348,f25343,f25338,f25333,f25328,f25323,f25318,f25313,f25308,f25303,f25298,f25288,f25283,f25278,f25263,f26167]) ).

fof(f26809,plain,
    ( v4_rlvect_1(sF39)
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_36 ),
    inference(unit_resulting_resolution,[],[f24991,f25320,f25325,f25340,f25345,f25350,f25355,f25360,f25265,f25280,f25285,f25290,f25300,f25305,f25310,f25315,f25330,f25335,f25435]) ).

fof(f26811,plain,
    ( v4_rlvect_1(sF40)
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_66 ),
    inference(unit_resulting_resolution,[],[f24991,f25320,f25325,f25340,f25345,f25350,f25355,f25360,f25265,f25280,f25285,f25290,f25300,f25305,f25310,f25315,f25330,f25335,f26059]) ).

fof(f26812,plain,
    ( spl41_42
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_36 ),
    inference(avatar_split_clause,[],[f26809,f25433,f25358,f25353,f25348,f25343,f25338,f25333,f25328,f25323,f25318,f25313,f25308,f25303,f25298,f25288,f25283,f25278,f25263,f25489]) ).

fof(f26813,plain,
    ( spl41_78
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_66 ),
    inference(avatar_split_clause,[],[f26811,f26057,f25358,f25353,f25348,f25343,f25338,f25333,f25328,f25323,f25318,f25313,f25308,f25303,f25298,f25288,f25283,f25278,f25263,f26171]) ).

fof(f26963,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK6,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,sK6)
        | ~ l1_vectsp_2(X1,sK6)
        | v3_struct_0(sK6)
        | ~ v3_rlvect_1(sK6)
        | ~ v4_rlvect_1(sK6)
        | ~ v5_rlvect_1(sK6)
        | ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | r1_rlvect_1(X1,k1_rlvect_1(X0))
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14 ),
    inference(resolution,[],[f25002,f25280]) ).

fof(f26964,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK6,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,sK6)
        | ~ l1_vectsp_2(X1,sK6)
        | ~ v3_rlvect_1(sK6)
        | ~ v4_rlvect_1(sK6)
        | ~ v5_rlvect_1(sK6)
        | ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | r1_rlvect_1(X1,k1_rlvect_1(X0))
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26963,f25325]) ).

fof(f26975,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK6,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,sK6)
        | ~ l1_vectsp_2(X1,sK6)
        | ~ v4_rlvect_1(sK6)
        | ~ v5_rlvect_1(sK6)
        | ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | r1_rlvect_1(X1,k1_rlvect_1(X0))
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26964,f25320]) ).

fof(f26976,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK6,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,sK6)
        | ~ l1_vectsp_2(X1,sK6)
        | ~ v5_rlvect_1(sK6)
        | ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | r1_rlvect_1(X1,k1_rlvect_1(X0))
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26975,f25315]) ).

fof(f26977,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK6,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,sK6)
        | ~ l1_vectsp_2(X1,sK6)
        | ~ v6_rlvect_1(sK6)
        | ~ v4_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | r1_rlvect_1(X1,k1_rlvect_1(X0))
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26976,f25310]) ).

fof(f26978,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK6,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,sK6)
        | ~ l1_vectsp_2(X1,sK6)
        | ~ v4_group_1(sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | r1_rlvect_1(X1,k1_rlvect_1(X0))
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26977,f25305]) ).

fof(f26979,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK6,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,sK6)
        | ~ l1_vectsp_2(X1,sK6)
        | ~ v6_vectsp_1(sK6)
        | ~ v7_vectsp_1(sK6)
        | r1_rlvect_1(X1,k1_rlvect_1(X0))
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26978,f25300]) ).

fof(f26980,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK6,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,sK6)
        | ~ l1_vectsp_2(X1,sK6)
        | ~ v7_vectsp_1(sK6)
        | r1_rlvect_1(X1,k1_rlvect_1(X0))
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26979,f25290]) ).

fof(f26981,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK6,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,sK6)
        | ~ l1_vectsp_2(X1,sK6)
        | r1_rlvect_1(X1,k1_rlvect_1(X0))
        | ~ l3_vectsp_1(sK6) )
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26980,f25285]) ).

fof(f26982,plain,
    ( ! [X0,X1] :
        ( ~ v5_vectsp_2(X1,sK6)
        | v3_struct_0(X1)
        | ~ v3_rlvect_1(X1)
        | ~ v4_rlvect_1(X1)
        | ~ v5_rlvect_1(X1)
        | ~ v6_rlvect_1(X1)
        | ~ m1_rmod_2(X0,sK6,X1)
        | ~ l1_vectsp_2(X1,sK6)
        | r1_rlvect_1(X1,k1_rlvect_1(X0)) )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23 ),
    inference(forward_subsumption_resolution,[],[f26981,f25265]) ).

fof(f27005,plain,
    ( ~ v3_rlvect_1(sK6)
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_36
    | spl41_40 ),
    inference(unit_resulting_resolution,[],[f24989,f25325,f25340,f25345,f25350,f25355,f25360,f25265,f25483,f25285,f25290,f25300,f25305,f25310,f25315,f25330,f25335,f25435,f25280]) ).

fof(f27024,plain,
    ( ~ v3_rlvect_1(sK6)
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_66
    | spl41_76 ),
    inference(unit_resulting_resolution,[],[f24989,f25325,f25340,f25345,f25350,f25355,f25360,f25265,f26165,f25285,f25290,f25300,f25305,f25310,f25315,f25330,f25335,f26059,f25280]) ).

fof(f27070,plain,
    ( $false
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_36
    | spl41_40 ),
    inference(forward_subsumption_resolution,[],[f27005,f25320]) ).

fof(f27071,plain,
    ( ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_36
    | spl41_40 ),
    inference(avatar_contradiction_clause,[],[f27070]) ).

fof(f27104,plain,
    ( $false
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_66
    | spl41_76 ),
    inference(forward_subsumption_resolution,[],[f27024,f25320]) ).

fof(f27105,plain,
    ( ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_66
    | spl41_76 ),
    inference(avatar_contradiction_clause,[],[f27104]) ).

fof(f27150,plain,
    ( ~ v3_rlvect_1(sK6)
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_36
    | spl41_43 ),
    inference(unit_resulting_resolution,[],[f24992,f25325,f25340,f25345,f25350,f25355,f25360,f25265,f25495,f25285,f25290,f25300,f25305,f25310,f25315,f25330,f25335,f25435,f25280]) ).

fof(f27169,plain,
    ( ~ v3_rlvect_1(sK6)
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_66
    | spl41_79 ),
    inference(unit_resulting_resolution,[],[f24992,f25325,f25340,f25345,f25350,f25355,f25360,f25265,f26177,f25285,f25290,f25300,f25305,f25310,f25315,f25330,f25335,f26059,f25280]) ).

fof(f27215,plain,
    ( $false
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_36
    | spl41_43 ),
    inference(forward_subsumption_resolution,[],[f27150,f25320]) ).

fof(f27216,plain,
    ( ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_36
    | spl41_43 ),
    inference(avatar_contradiction_clause,[],[f27215]) ).

fof(f27249,plain,
    ( $false
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_66
    | spl41_79 ),
    inference(forward_subsumption_resolution,[],[f27169,f25320]) ).

fof(f27250,plain,
    ( ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_66
    | spl41_79 ),
    inference(avatar_contradiction_clause,[],[f27249]) ).

fof(f27259,plain,
    ( v3_struct_0(sF39)
    | ~ v4_rlvect_1(sF39)
    | ~ v5_rlvect_1(sF39)
    | ~ v6_rlvect_1(sF39)
    | m1_rmod_2(sK23(sK6,sF39),sK6,sF39)
    | ~ l1_vectsp_2(sF39,sK6)
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_39
    | ~ spl41_43 ),
    inference(forward_subsumption_resolution,[],[f26003,f25494]) ).

fof(f27276,plain,
    ( v3_struct_0(sF39)
    | ~ v5_rlvect_1(sF39)
    | ~ v6_rlvect_1(sF39)
    | m1_rmod_2(sK23(sK6,sF39),sK6,sF39)
    | ~ l1_vectsp_2(sF39,sK6)
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_39
    | ~ spl41_42
    | ~ spl41_43 ),
    inference(forward_subsumption_resolution,[],[f27259,f25490]) ).

fof(f27293,plain,
    ( v3_struct_0(sF39)
    | ~ v6_rlvect_1(sF39)
    | m1_rmod_2(sK23(sK6,sF39),sK6,sF39)
    | ~ l1_vectsp_2(sF39,sK6)
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_39
    | ~ spl41_41
    | ~ spl41_42
    | ~ spl41_43 ),
    inference(forward_subsumption_resolution,[],[f27276,f25486]) ).

fof(f27310,plain,
    ( v3_struct_0(sF39)
    | m1_rmod_2(sK23(sK6,sF39),sK6,sF39)
    | ~ l1_vectsp_2(sF39,sK6)
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_39
    | ~ spl41_40
    | ~ spl41_41
    | ~ spl41_42
    | ~ spl41_43 ),
    inference(forward_subsumption_resolution,[],[f27293,f25482]) ).

fof(f27327,plain,
    ( v3_struct_0(sF39)
    | m1_rmod_2(sK23(sK6,sF39),sK6,sF39)
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_38
    | ~ spl41_39
    | ~ spl41_40
    | ~ spl41_41
    | ~ spl41_42
    | ~ spl41_43 ),
    inference(forward_subsumption_resolution,[],[f27310,f25474]) ).

fof(f27345,definition,
    ( spl41_107
  <=> m1_rmod_2(sK23(sK6,sF39),sK6,sF39) ),
    introduced(definition,[new_symbols(definition,[spl41_107])],[avatar_definition]) ).

fof(f27347,plain,
    ( m1_rmod_2(sK23(sK6,sF39),sK6,sF39)
    | ~ spl41_107 ),
    inference(avatar_component_clause,[],[f27345]) ).

fof(f27348,plain,
    ( spl41_107
    | spl41_44
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_38
    | ~ spl41_39
    | ~ spl41_40
    | ~ spl41_41
    | ~ spl41_42
    | ~ spl41_43 ),
    inference(avatar_split_clause,[],[f27327,f25493,f25489,f25485,f25481,f25477,f25473,f25323,f25318,f25313,f25308,f25303,f25298,f25288,f25283,f25278,f25263,f25497,f27345]) ).

fof(f27501,plain,
    ( ! [X0] :
        ( v3_struct_0(sF39)
        | ~ v3_rlvect_1(sF39)
        | ~ v4_rlvect_1(sF39)
        | ~ v5_rlvect_1(sF39)
        | ~ v6_rlvect_1(sF39)
        | ~ m1_rmod_2(X0,sK6,sF39)
        | ~ l1_vectsp_2(sF39,sK6)
        | r1_rlvect_1(sF39,k1_rlvect_1(X0)) )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_39 ),
    inference(resolution,[],[f26982,f25478]) ).

fof(f27657,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK6,sF39)
        | v3_struct_0(sF39)
        | ~ v3_rlvect_1(sF39)
        | ~ v4_rlvect_1(sF39)
        | ~ v5_rlvect_1(sF39)
        | ~ v6_rlvect_1(sF39)
        | ~ r1_rlvect_1(X0,X1)
        | ~ l1_vectsp_2(sF39,sK6)
        | r1_rlvect_1(sF39,X1) )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_39 ),
    inference(resolution,[],[f26568,f25478]) ).

fof(f27776,plain,
    ( ~ v3_rlvect_1(sK6)
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_36
    | ~ spl41_44 ),
    inference(unit_resulting_resolution,[],[f24993,f25325,f25340,f25345,f25350,f25355,f25360,f25265,f25499,f25285,f25290,f25300,f25305,f25310,f25315,f25330,f25335,f25435,f25280]) ).

fof(f27795,plain,
    ( ~ v3_rlvect_1(sK6)
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_66
    | ~ spl41_80 ),
    inference(unit_resulting_resolution,[],[f24993,f25325,f25340,f25345,f25350,f25355,f25360,f25265,f26181,f25285,f25290,f25300,f25305,f25310,f25315,f25330,f25335,f26059,f25280]) ).

fof(f27843,plain,
    ( $false
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_36
    | ~ spl41_44 ),
    inference(forward_subsumption_resolution,[],[f27776,f25320]) ).

fof(f27844,plain,
    ( ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_36
    | ~ spl41_44 ),
    inference(avatar_contradiction_clause,[],[f27843]) ).

fof(f27877,plain,
    ( $false
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_66
    | ~ spl41_80 ),
    inference(forward_subsumption_resolution,[],[f27795,f25320]) ).

fof(f27878,plain,
    ( ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_66
    | ~ spl41_80 ),
    inference(avatar_contradiction_clause,[],[f27877]) ).

fof(f27903,plain,
    ( ! [X0] :
        ( ~ v3_rlvect_1(sF39)
        | ~ v4_rlvect_1(sF39)
        | ~ v5_rlvect_1(sF39)
        | ~ v6_rlvect_1(sF39)
        | ~ m1_rmod_2(X0,sK6,sF39)
        | ~ l1_vectsp_2(sF39,sK6)
        | r1_rlvect_1(sF39,k1_rlvect_1(X0)) )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_39
    | spl41_44 ),
    inference(forward_subsumption_resolution,[],[f27501,f25498]) ).

fof(f27905,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK6,sF39)
        | ~ v3_rlvect_1(sF39)
        | ~ v4_rlvect_1(sF39)
        | ~ v5_rlvect_1(sF39)
        | ~ v6_rlvect_1(sF39)
        | ~ r1_rlvect_1(X0,X1)
        | ~ l1_vectsp_2(sF39,sK6)
        | r1_rlvect_1(sF39,X1) )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_39
    | spl41_44 ),
    inference(forward_subsumption_resolution,[],[f27657,f25498]) ).

fof(f27922,plain,
    ( ! [X0] :
        ( ~ v4_rlvect_1(sF39)
        | ~ v5_rlvect_1(sF39)
        | ~ v6_rlvect_1(sF39)
        | ~ m1_rmod_2(X0,sK6,sF39)
        | ~ l1_vectsp_2(sF39,sK6)
        | r1_rlvect_1(sF39,k1_rlvect_1(X0)) )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_39
    | ~ spl41_43
    | spl41_44 ),
    inference(forward_subsumption_resolution,[],[f27903,f25494]) ).

fof(f27924,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK6,sF39)
        | ~ v4_rlvect_1(sF39)
        | ~ v5_rlvect_1(sF39)
        | ~ v6_rlvect_1(sF39)
        | ~ r1_rlvect_1(X0,X1)
        | ~ l1_vectsp_2(sF39,sK6)
        | r1_rlvect_1(sF39,X1) )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_39
    | ~ spl41_43
    | spl41_44 ),
    inference(forward_subsumption_resolution,[],[f27905,f25494]) ).

fof(f27941,plain,
    ( ! [X0] :
        ( ~ v5_rlvect_1(sF39)
        | ~ v6_rlvect_1(sF39)
        | ~ m1_rmod_2(X0,sK6,sF39)
        | ~ l1_vectsp_2(sF39,sK6)
        | r1_rlvect_1(sF39,k1_rlvect_1(X0)) )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_39
    | ~ spl41_42
    | ~ spl41_43
    | spl41_44 ),
    inference(forward_subsumption_resolution,[],[f27922,f25490]) ).

fof(f27943,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK6,sF39)
        | ~ v5_rlvect_1(sF39)
        | ~ v6_rlvect_1(sF39)
        | ~ r1_rlvect_1(X0,X1)
        | ~ l1_vectsp_2(sF39,sK6)
        | r1_rlvect_1(sF39,X1) )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_39
    | ~ spl41_42
    | ~ spl41_43
    | spl41_44 ),
    inference(forward_subsumption_resolution,[],[f27924,f25490]) ).

fof(f27960,plain,
    ( ! [X0] :
        ( ~ v6_rlvect_1(sF39)
        | ~ m1_rmod_2(X0,sK6,sF39)
        | ~ l1_vectsp_2(sF39,sK6)
        | r1_rlvect_1(sF39,k1_rlvect_1(X0)) )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_39
    | ~ spl41_41
    | ~ spl41_42
    | ~ spl41_43
    | spl41_44 ),
    inference(forward_subsumption_resolution,[],[f27941,f25486]) ).

fof(f27962,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK6,sF39)
        | ~ v6_rlvect_1(sF39)
        | ~ r1_rlvect_1(X0,X1)
        | ~ l1_vectsp_2(sF39,sK6)
        | r1_rlvect_1(sF39,X1) )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_39
    | ~ spl41_41
    | ~ spl41_42
    | ~ spl41_43
    | spl41_44 ),
    inference(forward_subsumption_resolution,[],[f27943,f25486]) ).

fof(f27979,plain,
    ( ! [X0] :
        ( ~ m1_rmod_2(X0,sK6,sF39)
        | ~ l1_vectsp_2(sF39,sK6)
        | r1_rlvect_1(sF39,k1_rlvect_1(X0)) )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_39
    | ~ spl41_40
    | ~ spl41_41
    | ~ spl41_42
    | ~ spl41_43
    | spl41_44 ),
    inference(forward_subsumption_resolution,[],[f27960,f25482]) ).

fof(f27981,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK6,sF39)
        | ~ r1_rlvect_1(X0,X1)
        | ~ l1_vectsp_2(sF39,sK6)
        | r1_rlvect_1(sF39,X1) )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_39
    | ~ spl41_40
    | ~ spl41_41
    | ~ spl41_42
    | ~ spl41_43
    | spl41_44 ),
    inference(forward_subsumption_resolution,[],[f27962,f25482]) ).

fof(f27998,plain,
    ( ! [X0] :
        ( r1_rlvect_1(sF39,k1_rlvect_1(X0))
        | ~ m1_rmod_2(X0,sK6,sF39) )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_38
    | ~ spl41_39
    | ~ spl41_40
    | ~ spl41_41
    | ~ spl41_42
    | ~ spl41_43
    | spl41_44 ),
    inference(forward_subsumption_resolution,[],[f27979,f25474]) ).

fof(f28000,plain,
    ( ! [X0,X1] :
        ( ~ m1_rmod_2(X0,sK6,sF39)
        | ~ r1_rlvect_1(X0,X1)
        | r1_rlvect_1(sF39,X1) )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_38
    | ~ spl41_39
    | ~ spl41_40
    | ~ spl41_41
    | ~ spl41_42
    | ~ spl41_43
    | spl41_44 ),
    inference(forward_subsumption_resolution,[],[f27981,f25474]) ).

fof(f28133,plain,
    ( ~ m1_rmod_2(sF40,sK6,sF39)
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | spl41_31
    | ~ spl41_35
    | ~ spl41_38
    | ~ spl41_39
    | ~ spl41_40
    | ~ spl41_41
    | ~ spl41_42
    | ~ spl41_43
    | spl41_44
    | ~ spl41_67
    | ~ spl41_71 ),
    inference(unit_resulting_resolution,[],[f25384,f25265,f25486,f25285,f25290,f25300,f25305,f25310,f25315,f25320,f25325,f25490,f25494,f25280,f25482,f25365,f25474,f25478,f25418,f26064,f26108,f25498]) ).

fof(f28262,definition,
    ( spl41_152
  <=> m1_rmod_2(sF40,sK6,sF39) ),
    introduced(definition,[new_symbols(definition,[spl41_152])],[avatar_definition]) ).

fof(f28264,plain,
    ( ~ m1_rmod_2(sF40,sK6,sF39)
    | spl41_152 ),
    inference(avatar_component_clause,[],[f28262]) ).

fof(f28265,plain,
    ( ~ spl41_152
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | spl41_31
    | ~ spl41_35
    | ~ spl41_38
    | ~ spl41_39
    | ~ spl41_40
    | ~ spl41_41
    | ~ spl41_42
    | ~ spl41_43
    | spl41_44
    | ~ spl41_67
    | ~ spl41_71 ),
    inference(avatar_split_clause,[],[f28133,f26106,f26062,f25497,f25493,f25489,f25485,f25481,f25477,f25473,f25416,f25363,f25323,f25318,f25313,f25308,f25303,f25298,f25288,f25283,f25278,f25263,f28262]) ).

fof(f28335,plain,
    ( m1_rmod_2(sF40,sK6,sF40)
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_72
    | ~ spl41_73
    | ~ spl41_76
    | ~ spl41_77
    | ~ spl41_78
    | ~ spl41_79
    | spl41_80 ),
    inference(unit_resulting_resolution,[],[f24999,f25265,f25280,f25285,f25290,f25300,f25305,f25310,f25315,f25320,f25325,f26117,f26122,f26164,f26168,f26172,f26176,f26180]) ).

fof(f28412,definition,
    ( spl41_166
  <=> m1_rmod_2(sF40,sK6,sF40) ),
    introduced(definition,[new_symbols(definition,[spl41_166])],[avatar_definition]) ).

fof(f28414,plain,
    ( m1_rmod_2(sF40,sK6,sF40)
    | ~ spl41_166 ),
    inference(avatar_component_clause,[],[f28412]) ).

fof(f28415,plain,
    ( spl41_166
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_72
    | ~ spl41_73
    | ~ spl41_76
    | ~ spl41_77
    | ~ spl41_78
    | ~ spl41_79
    | spl41_80 ),
    inference(avatar_split_clause,[],[f28335,f26179,f26175,f26171,f26167,f26163,f26120,f26115,f25323,f25318,f25313,f25308,f25303,f25298,f25288,f25283,f25278,f25263,f28412]) ).

fof(f30904,plain,
    ( ! [X0] :
        ( ~ m1_rmod_2(X0,sK6,sF39)
        | k1_rlvect_1(X0) = k1_rlvect_1(sK7) )
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_32
    | ~ spl41_38
    | ~ spl41_39
    | ~ spl41_40
    | ~ spl41_41
    | ~ spl41_42
    | ~ spl41_43
    | spl41_44 ),
    inference(resolution,[],[f27998,f25565]) ).

fof(f31267,plain,
    ( ~ r1_rlvect_1(sF39,sK28(sF40,sF40,sF39))
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_71
    | ~ spl41_72
    | ~ spl41_73
    | ~ spl41_76
    | ~ spl41_77
    | ~ spl41_78
    | ~ spl41_79
    | spl41_80
    | spl41_152
    | ~ spl41_166 ),
    inference(unit_resulting_resolution,[],[f24996,f25265,f25280,f25285,f25290,f25300,f25305,f25310,f25315,f25320,f25325,f26176,f26180,f26164,f26168,f26172,f26117,f26122,f28414,f26108,f28264]) ).

fof(f31282,definition,
    ( spl41_302
  <=> r1_rlvect_1(sF39,sK28(sF40,sF40,sF39)) ),
    introduced(definition,[new_symbols(definition,[spl41_302])],[avatar_definition]) ).

fof(f31284,plain,
    ( ~ r1_rlvect_1(sF39,sK28(sF40,sF40,sF39))
    | spl41_302 ),
    inference(avatar_component_clause,[],[f31282]) ).

fof(f31285,plain,
    ( ~ spl41_302
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_71
    | ~ spl41_72
    | ~ spl41_73
    | ~ spl41_76
    | ~ spl41_77
    | ~ spl41_78
    | ~ spl41_79
    | spl41_80
    | spl41_152
    | ~ spl41_166 ),
    inference(avatar_split_clause,[],[f31267,f28412,f28262,f26179,f26175,f26171,f26167,f26163,f26120,f26115,f26106,f25323,f25318,f25313,f25308,f25303,f25298,f25288,f25283,f25278,f25263,f31282]) ).

fof(f32987,plain,
    ( ~ r1_rlvect_1(sK23(sK6,sF39),sK28(sF40,sF40,sF39))
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_38
    | ~ spl41_39
    | ~ spl41_40
    | ~ spl41_41
    | ~ spl41_42
    | ~ spl41_43
    | spl41_44
    | ~ spl41_107
    | spl41_302 ),
    inference(unit_resulting_resolution,[],[f28000,f31284,f27347]) ).

fof(f33024,plain,
    ( r1_rlvect_1(sK23(sK6,sF39),k1_rlvect_1(sK23(sK6,sF39)))
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_38
    | ~ spl41_39
    | ~ spl41_40
    | ~ spl41_41
    | ~ spl41_42
    | ~ spl41_43
    | spl41_44
    | ~ spl41_107 ),
    inference(unit_resulting_resolution,[],[f25003,f25265,f25280,f25285,f25290,f25300,f25305,f25310,f25315,f25320,f25325,f25494,f25498,f25482,f25486,f25490,f25474,f25478,f27347,f27347]) ).

fof(f33053,plain,
    ( k1_rlvect_1(sK7) = k1_rlvect_1(sK23(sK6,sF39))
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_32
    | ~ spl41_38
    | ~ spl41_39
    | ~ spl41_40
    | ~ spl41_41
    | ~ spl41_42
    | ~ spl41_43
    | spl41_44
    | ~ spl41_107 ),
    inference(resolution,[],[f27347,f30904]) ).

fof(f33063,definition,
    ( spl41_373
  <=> k1_rlvect_1(sK7) = k1_rlvect_1(sK23(sK6,sF39)) ),
    introduced(definition,[new_symbols(definition,[spl41_373])],[avatar_definition]) ).

fof(f33066,plain,
    ( spl41_373
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_32
    | ~ spl41_38
    | ~ spl41_39
    | ~ spl41_40
    | ~ spl41_41
    | ~ spl41_42
    | ~ spl41_43
    | spl41_44
    | ~ spl41_107 ),
    inference(avatar_split_clause,[],[f33053,f27345,f25497,f25493,f25489,f25485,f25481,f25477,f25473,f25368,f25358,f25353,f25348,f25343,f25338,f25333,f25328,f25323,f25318,f25313,f25308,f25303,f25298,f25288,f25283,f25278,f25263,f33063]) ).

fof(f33093,definition,
    ( spl41_379
  <=> r1_rlvect_1(sK23(sK6,sF39),sK28(sF40,sF40,sF39)) ),
    introduced(definition,[new_symbols(definition,[spl41_379])],[avatar_definition]) ).

fof(f33096,plain,
    ( ~ spl41_379
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_38
    | ~ spl41_39
    | ~ spl41_40
    | ~ spl41_41
    | ~ spl41_42
    | ~ spl41_43
    | spl41_44
    | ~ spl41_107
    | spl41_302 ),
    inference(avatar_split_clause,[],[f32987,f31282,f27345,f25497,f25493,f25489,f25485,f25481,f25477,f25473,f25323,f25318,f25313,f25308,f25303,f25298,f25288,f25283,f25278,f25263,f33093]) ).

fof(f33125,definition,
    ( spl41_383
  <=> r1_rlvect_1(sK23(sK6,sF39),k1_rlvect_1(sK23(sK6,sF39))) ),
    introduced(definition,[new_symbols(definition,[spl41_383])],[avatar_definition]) ).

fof(f33128,plain,
    ( spl41_383
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_38
    | ~ spl41_39
    | ~ spl41_40
    | ~ spl41_41
    | ~ spl41_42
    | ~ spl41_43
    | spl41_44
    | ~ spl41_107 ),
    inference(avatar_split_clause,[],[f33024,f27345,f25497,f25493,f25489,f25485,f25481,f25477,f25473,f25323,f25318,f25313,f25308,f25303,f25298,f25288,f25283,f25278,f25263,f33125]) ).

fof(f33433,plain,
    ( r1_rlvect_1(sF40,sK28(sF40,sF40,sF39))
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_71
    | ~ spl41_72
    | ~ spl41_73
    | ~ spl41_76
    | ~ spl41_77
    | ~ spl41_78
    | ~ spl41_79
    | spl41_80
    | spl41_152
    | ~ spl41_166 ),
    inference(unit_resulting_resolution,[],[f24995,f25265,f26180,f25285,f25290,f25300,f25305,f25310,f25315,f25320,f25325,f26172,f26176,f26164,f26168,f26117,f26122,f28264,f28414,f26108,f25280]) ).

fof(f33447,definition,
    ( spl41_398
  <=> r1_rlvect_1(sF40,sK28(sF40,sF40,sF39)) ),
    introduced(definition,[new_symbols(definition,[spl41_398])],[avatar_definition]) ).

fof(f33449,plain,
    ( r1_rlvect_1(sF40,sK28(sF40,sF40,sF39))
    | ~ spl41_398 ),
    inference(avatar_component_clause,[],[f33447]) ).

fof(f33450,plain,
    ( spl41_398
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_71
    | ~ spl41_72
    | ~ spl41_73
    | ~ spl41_76
    | ~ spl41_77
    | ~ spl41_78
    | ~ spl41_79
    | spl41_80
    | spl41_152
    | ~ spl41_166 ),
    inference(avatar_split_clause,[],[f33433,f28412,f28262,f26179,f26175,f26171,f26167,f26163,f26120,f26115,f26106,f25323,f25318,f25313,f25308,f25303,f25298,f25288,f25283,f25278,f25263,f33447]) ).

fof(f33510,plain,
    ( m2_rmod_4(sK5(sK28(sF40,sF40,sF39),sK6,sK7,np__0),sK6,sK7,np__0)
    | ~ spl41_11
    | ~ spl41_12
    | spl41_13
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_33
    | ~ spl41_398 ),
    inference(resolution,[],[f33449,f26404]) ).

fof(f33511,plain,
    ( sK28(sF40,sF40,sF39) = k5_rmod_4(sK6,sK7,sK5(sK28(sF40,sF40,sF39),sK6,sK7,np__0))
    | ~ spl41_11
    | ~ spl41_12
    | spl41_13
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_33
    | ~ spl41_398 ),
    inference(resolution,[],[f33449,f26345]) ).

fof(f33513,definition,
    ( spl41_402
  <=> sK28(sF40,sF40,sF39) = k5_rmod_4(sK6,sK7,sK5(sK28(sF40,sF40,sF39),sK6,sK7,np__0)) ),
    introduced(definition,[new_symbols(definition,[spl41_402])],[avatar_definition]) ).

fof(f33516,plain,
    ( spl41_402
    | ~ spl41_11
    | ~ spl41_12
    | spl41_13
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_33
    | ~ spl41_398 ),
    inference(avatar_split_clause,[],[f33511,f33447,f25373,f25358,f25353,f25348,f25343,f25338,f25333,f25328,f25323,f25318,f25313,f25308,f25303,f25298,f25293,f25288,f25283,f25278,f25273,f25268,f25263,f33513]) ).

fof(f33518,definition,
    ( spl41_403
  <=> m2_rmod_4(sK5(sK28(sF40,sF40,sF39),sK6,sK7,np__0),sK6,sK7,np__0) ),
    introduced(definition,[new_symbols(definition,[spl41_403])],[avatar_definition]) ).

fof(f33520,plain,
    ( m2_rmod_4(sK5(sK28(sF40,sF40,sF39),sK6,sK7,np__0),sK6,sK7,np__0)
    | ~ spl41_403 ),
    inference(avatar_component_clause,[],[f33518]) ).

fof(f33521,plain,
    ( spl41_403
    | ~ spl41_11
    | ~ spl41_12
    | spl41_13
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_33
    | ~ spl41_398 ),
    inference(avatar_split_clause,[],[f33510,f33447,f25373,f25358,f25353,f25348,f25343,f25338,f25333,f25328,f25323,f25318,f25313,f25308,f25303,f25298,f25293,f25288,f25283,f25278,f25273,f25268,f25263,f33518]) ).

fof(f33543,plain,
    ( k1_rlvect_1(sK7) = k5_rmod_4(sK6,sK7,sK5(sK28(sF40,sF40,sF39),sK6,sK7,np__0))
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_403 ),
    inference(unit_resulting_resolution,[],[f25147,f25265,f25280,f25285,f25290,f25300,f25305,f25310,f25315,f25320,f25325,f25355,f25360,f25340,f25345,f25350,f25330,f25335,f33520]) ).

fof(f33578,definition,
    ( spl41_406
  <=> k1_rlvect_1(sK7) = k5_rmod_4(sK6,sK7,sK5(sK28(sF40,sF40,sF39),sK6,sK7,np__0)) ),
    introduced(definition,[new_symbols(definition,[spl41_406])],[avatar_definition]) ).

fof(f33581,plain,
    ( spl41_406
    | ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_403 ),
    inference(avatar_split_clause,[],[f33543,f33518,f25358,f25353,f25348,f25343,f25338,f25333,f25328,f25323,f25318,f25313,f25308,f25303,f25298,f25288,f25283,f25278,f25263,f33578]) ).

fof(f33639,plain,
    ( k1_rlvect_1(sK7) != k1_rlvect_1(sK23(sK6,sF39))
    | sK28(sF40,sF40,sF39) != k5_rmod_4(sK6,sK7,sK5(sK28(sF40,sF40,sF39),sK6,sK7,np__0))
    | k1_rlvect_1(sK7) != k5_rmod_4(sK6,sK7,sK5(sK28(sF40,sF40,sF39),sK6,sK7,np__0))
    | r1_rlvect_1(sK23(sK6,sF39),sK28(sF40,sF40,sF39))
    | ~ r1_rlvect_1(sK23(sK6,sF39),k1_rlvect_1(sK23(sK6,sF39))) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

cnf(s14,plain,
    spl41_11,
    inference(sat_conversion,[],[f25266]) ).

cnf(s15,plain,
    spl41_12,
    inference(sat_conversion,[],[f25271]) ).

cnf(s16,plain,
    ~ spl41_13,
    inference(sat_conversion,[],[f25276]) ).

cnf(s17,plain,
    spl41_14,
    inference(sat_conversion,[],[f25281]) ).

cnf(s18,plain,
    spl41_15,
    inference(sat_conversion,[],[f25286]) ).

cnf(s19,plain,
    spl41_16,
    inference(sat_conversion,[],[f25291]) ).

cnf(s20,plain,
    spl41_17,
    inference(sat_conversion,[],[f25296]) ).

cnf(s21,plain,
    spl41_18,
    inference(sat_conversion,[],[f25301]) ).

cnf(s22,plain,
    spl41_19,
    inference(sat_conversion,[],[f25306]) ).

cnf(s23,plain,
    spl41_20,
    inference(sat_conversion,[],[f25311]) ).

cnf(s24,plain,
    spl41_21,
    inference(sat_conversion,[],[f25316]) ).

cnf(s25,plain,
    spl41_22,
    inference(sat_conversion,[],[f25321]) ).

cnf(s26,plain,
    ~ spl41_23,
    inference(sat_conversion,[],[f25326]) ).

cnf(s27,plain,
    spl41_24,
    inference(sat_conversion,[],[f25331]) ).

cnf(s28,plain,
    spl41_25,
    inference(sat_conversion,[],[f25336]) ).

cnf(s29,plain,
    spl41_26,
    inference(sat_conversion,[],[f25341]) ).

cnf(s30,plain,
    spl41_27,
    inference(sat_conversion,[],[f25346]) ).

cnf(s31,plain,
    spl41_28,
    inference(sat_conversion,[],[f25351]) ).

cnf(s32,plain,
    spl41_29,
    inference(sat_conversion,[],[f25356]) ).

cnf(s33,plain,
    ~ spl41_30,
    inference(sat_conversion,[],[f25361]) ).

cnf(s34,plain,
    ~ spl41_31,
    inference(sat_conversion,[],[f25366]) ).

cnf(s35,plain,
    spl41_32,
    inference(sat_conversion,[],[f25371]) ).

cnf(s36,plain,
    spl41_33,
    inference(sat_conversion,[],[f25376]) ).

cnf(s39,plain,
    ( ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_32
    | spl41_35 ),
    inference(sat_conversion,[],[f25419]) ).

cnf(s40,plain,
    ( ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_32
    | spl41_36 ),
    inference(sat_conversion,[],[f25436]) ).

cnf(s74,plain,
    ( ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_36
    | spl41_38 ),
    inference(sat_conversion,[],[f25917]) ).

cnf(s94,plain,
    ( ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_36
    | spl41_39 ),
    inference(sat_conversion,[],[f25987]) ).

cnf(s96,plain,
    ( ~ spl41_11
    | ~ spl41_12
    | spl41_13
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_33
    | spl41_66 ),
    inference(sat_conversion,[],[f26060]) ).

cnf(s97,plain,
    ( ~ spl41_11
    | ~ spl41_12
    | spl41_13
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_33
    | spl41_67 ),
    inference(sat_conversion,[],[f26065]) ).

cnf(s101,plain,
    ( ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_32
    | ~ spl41_66
    | spl41_71 ),
    inference(sat_conversion,[],[f26109]) ).

cnf(s105,plain,
    ( ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_66
    | spl41_72 ),
    inference(sat_conversion,[],[f26118]) ).

cnf(s106,plain,
    ( ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_66
    | spl41_73 ),
    inference(sat_conversion,[],[f26123]) ).

cnf(s146,plain,
    ( ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_36
    | spl41_41 ),
    inference(sat_conversion,[],[f26746]) ).

cnf(s147,plain,
    ( ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_66
    | spl41_77 ),
    inference(sat_conversion,[],[f26747]) ).

cnf(s149,plain,
    ( ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_36
    | spl41_42 ),
    inference(sat_conversion,[],[f26812]) ).

cnf(s150,plain,
    ( ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_66
    | spl41_78 ),
    inference(sat_conversion,[],[f26813]) ).

cnf(s177,plain,
    ( ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_36
    | spl41_40 ),
    inference(sat_conversion,[],[f27071]) ).

cnf(s194,plain,
    ( ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_66
    | spl41_76 ),
    inference(sat_conversion,[],[f27105]) ).

cnf(s217,plain,
    ( ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_36
    | spl41_43 ),
    inference(sat_conversion,[],[f27216]) ).

cnf(s234,plain,
    ( ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_66
    | spl41_79 ),
    inference(sat_conversion,[],[f27250]) ).

cnf(s235,plain,
    ( ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_38
    | ~ spl41_39
    | ~ spl41_40
    | ~ spl41_41
    | ~ spl41_42
    | ~ spl41_43
    | spl41_44
    | spl41_107 ),
    inference(sat_conversion,[],[f27348]) ).

cnf(s286,plain,
    ( ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_36
    | ~ spl41_44 ),
    inference(sat_conversion,[],[f27844]) ).

cnf(s303,plain,
    ( ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_66
    | ~ spl41_80 ),
    inference(sat_conversion,[],[f27878]) ).

cnf(s331,plain,
    ( ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | spl41_31
    | ~ spl41_35
    | ~ spl41_38
    | ~ spl41_39
    | ~ spl41_40
    | ~ spl41_41
    | ~ spl41_42
    | ~ spl41_43
    | spl41_44
    | ~ spl41_67
    | ~ spl41_71
    | ~ spl41_152 ),
    inference(sat_conversion,[],[f28265]) ).

cnf(s363,plain,
    ( ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_72
    | ~ spl41_73
    | ~ spl41_76
    | ~ spl41_77
    | ~ spl41_78
    | ~ spl41_79
    | spl41_80
    | spl41_166 ),
    inference(sat_conversion,[],[f28415]) ).

cnf(s577,plain,
    ( ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_71
    | ~ spl41_72
    | ~ spl41_73
    | ~ spl41_76
    | ~ spl41_77
    | ~ spl41_78
    | ~ spl41_79
    | spl41_80
    | spl41_152
    | ~ spl41_166
    | ~ spl41_302 ),
    inference(sat_conversion,[],[f31285]) ).

cnf(s708,plain,
    ( ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_32
    | ~ spl41_38
    | ~ spl41_39
    | ~ spl41_40
    | ~ spl41_41
    | ~ spl41_42
    | ~ spl41_43
    | spl41_44
    | ~ spl41_107
    | spl41_373 ),
    inference(sat_conversion,[],[f33066]) ).

cnf(s716,plain,
    ( ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_38
    | ~ spl41_39
    | ~ spl41_40
    | ~ spl41_41
    | ~ spl41_42
    | ~ spl41_43
    | spl41_44
    | ~ spl41_107
    | spl41_302
    | ~ spl41_379 ),
    inference(sat_conversion,[],[f33096]) ).

cnf(s728,plain,
    ( ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_38
    | ~ spl41_39
    | ~ spl41_40
    | ~ spl41_41
    | ~ spl41_42
    | ~ spl41_43
    | spl41_44
    | ~ spl41_107
    | spl41_383 ),
    inference(sat_conversion,[],[f33128]) ).

cnf(s777,plain,
    ( ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_71
    | ~ spl41_72
    | ~ spl41_73
    | ~ spl41_76
    | ~ spl41_77
    | ~ spl41_78
    | ~ spl41_79
    | spl41_80
    | spl41_152
    | ~ spl41_166
    | spl41_398 ),
    inference(sat_conversion,[],[f33450]) ).

cnf(s785,plain,
    ( ~ spl41_11
    | ~ spl41_12
    | spl41_13
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_33
    | ~ spl41_398
    | spl41_402 ),
    inference(sat_conversion,[],[f33516]) ).

cnf(s786,plain,
    ( ~ spl41_11
    | ~ spl41_12
    | spl41_13
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_17
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_33
    | ~ spl41_398
    | spl41_403 ),
    inference(sat_conversion,[],[f33521]) ).

cnf(s794,plain,
    ( ~ spl41_11
    | ~ spl41_14
    | ~ spl41_15
    | ~ spl41_16
    | ~ spl41_18
    | ~ spl41_19
    | ~ spl41_20
    | ~ spl41_21
    | ~ spl41_22
    | spl41_23
    | ~ spl41_24
    | ~ spl41_25
    | ~ spl41_26
    | ~ spl41_27
    | ~ spl41_28
    | ~ spl41_29
    | spl41_30
    | ~ spl41_403
    | spl41_406 ),
    inference(sat_conversion,[],[f33581]) ).

cnf(s808,plain,
    ( ~ spl41_373
    | spl41_379
    | ~ spl41_383
    | ~ spl41_402
    | ~ spl41_406 ),
    inference(sat_conversion,[],[f33639]) ).

cnf(s821,plain,
    spl41_67,
    inference(rat,[],[s97,s15,s36,s33,s32,s31,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21,s20,s19,s18,s17,s16,s14]) ).

cnf(s822,plain,
    spl41_66,
    inference(rat,[],[s96,s15,s36,s33,s32,s31,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21,s20,s19,s18,s17,s16,s14]) ).

cnf(s831,plain,
    spl41_36,
    inference(rat,[],[s40,s17,s35,s33,s32,s31,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21,s19,s18,s14]) ).

cnf(s832,plain,
    spl41_35,
    inference(rat,[],[s39,s17,s35,s33,s32,s31,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21,s19,s18,s14]) ).

cnf(s837,plain,
    ~ spl41_80,
    inference(rat,[],[s303,s14,s17,s33,s32,s31,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21,s19,s18,s822]) ).

cnf(s838,plain,
    spl41_79,
    inference(rat,[],[s234,s14,s17,s33,s32,s31,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21,s19,s18,s822]) ).

cnf(s839,plain,
    spl41_76,
    inference(rat,[],[s194,s14,s17,s33,s32,s31,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21,s19,s18,s822]) ).

cnf(s841,plain,
    spl41_78,
    inference(rat,[],[s150,s14,s17,s33,s32,s31,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21,s19,s18,s822]) ).

cnf(s842,plain,
    spl41_77,
    inference(rat,[],[s147,s14,s17,s33,s32,s31,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21,s19,s18,s822]) ).

cnf(s845,plain,
    spl41_73,
    inference(rat,[],[s106,s14,s17,s33,s32,s31,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21,s19,s18,s822]) ).

cnf(s846,plain,
    spl41_72,
    inference(rat,[],[s105,s14,s17,s33,s32,s31,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21,s19,s18,s822]) ).

cnf(s847,plain,
    spl41_71,
    inference(rat,[],[s101,s14,s17,s35,s33,s32,s31,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21,s19,s18,s822]) ).

cnf(s860,plain,
    ~ spl41_44,
    inference(rat,[],[s286,s14,s17,s33,s32,s31,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21,s19,s18,s831]) ).

cnf(s861,plain,
    spl41_43,
    inference(rat,[],[s217,s14,s17,s33,s32,s31,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21,s19,s18,s831]) ).

cnf(s862,plain,
    spl41_40,
    inference(rat,[],[s177,s14,s17,s33,s32,s31,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21,s19,s18,s831]) ).

cnf(s864,plain,
    spl41_42,
    inference(rat,[],[s149,s14,s17,s33,s32,s31,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21,s19,s18,s831]) ).

cnf(s865,plain,
    spl41_41,
    inference(rat,[],[s146,s14,s17,s33,s32,s31,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21,s19,s18,s831]) ).

cnf(s866,plain,
    spl41_39,
    inference(rat,[],[s94,s14,s17,s33,s32,s31,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21,s19,s18,s831]) ).

cnf(s867,plain,
    spl41_38,
    inference(rat,[],[s74,s14,s17,s33,s32,s31,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21,s19,s18,s831]) ).

cnf(s884,plain,
    spl41_166,
    inference(rat,[],[s363,s845,s837,s838,s841,s842,s839,s14,s17,s26,s25,s24,s23,s22,s21,s19,s18,s846]) ).

cnf(s936,plain,
    spl41_107,
    inference(rat,[],[s235,s866,s860,s861,s864,s865,s862,s14,s17,s26,s25,s24,s23,s22,s21,s19,s18,s867]) ).

cnf(s943,plain,
    ~ spl41_152,
    inference(rat,[],[s331,s832,s847,s821,s860,s861,s864,s865,s862,s866,s14,s17,s34,s26,s25,s24,s23,s22,s21,s19,s18,s867]) ).

cnf(s1003,plain,
    spl41_383,
    inference(rat,[],[s728,s867,s866,s860,s861,s864,s865,s862,s14,s17,s26,s25,s24,s23,s22,s21,s19,s18,s936]) ).

cnf(s1006,plain,
    spl41_373,
    inference(rat,[],[s708,s867,s866,s860,s861,s864,s865,s862,s14,s17,s35,s33,s32,s31,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21,s19,s18,s936]) ).

cnf(s1024,plain,
    spl41_398,
    inference(rat,[],[s777,s847,s884,s846,s837,s838,s841,s842,s839,s845,s14,s17,s26,s25,s24,s23,s22,s21,s19,s18,s943]) ).

cnf(s1025,plain,
    ~ spl41_302,
    inference(rat,[],[s577,s847,s884,s846,s837,s838,s841,s842,s839,s845,s14,s17,s26,s25,s24,s23,s22,s21,s19,s18,s943]) ).

cnf(s1085,plain,
    spl41_403,
    inference(rat,[],[s786,s14,s15,s36,s33,s32,s31,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21,s20,s19,s18,s17,s16,s1024]) ).

cnf(s1086,plain,
    spl41_402,
    inference(rat,[],[s785,s14,s15,s36,s33,s32,s31,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21,s20,s19,s18,s17,s16,s1024]) ).

cnf(s1089,plain,
    ~ spl41_379,
    inference(rat,[],[s716,s936,s867,s866,s860,s861,s864,s865,s862,s14,s17,s26,s25,s24,s23,s22,s21,s19,s18,s1025]) ).

cnf(s1111,plain,
    spl41_406,
    inference(rat,[],[s794,s14,s17,s33,s32,s31,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21,s19,s18,s1085]) ).

cnf(s1119,plain,
    $false,
    inference(rat,[],[s808,s1111,s1006,s1003,s1086,s1089]) ).

fof(f33640,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1119]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : ALG217+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.28  % Computer : n020.cluster.edu
% 0.23/0.28  % Model    : x86_64 x86_64
% 0.23/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.28  % Memory   : 8046.5625MB
% 0.23/0.28  % OS       : Linux 6.8.0-71-generic
% 0.23/0.28  % CPULimit : 300
% 0.23/0.28  % WCLimit  : 300
% 0.23/0.28  % DateTime : Mon Sep 28 19:46:39 UTC 2026
% 0.23/0.28  % CPUTime  : 
% 0.23/0.28  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.33  Running first-order theorem proving
% 0.23/0.33  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.29/5.98  % (469239)Detected formulas, will run a generic FOF schedule.
% 24.29/5.98  % (469246)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=2650824924:i=141193_2981 on theBenchmark for (2981ds/141193Mi)
% 24.29/5.98  % (469252)dis-21_1_sil=8000:lcm=predicate:random_seed=3881875463:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2981 on theBenchmark for (2981ds/129Mi)
% 24.29/5.98  % (469248)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=4246905492:i=141695:sd=1:nm=32:gsp=on:ss=included_2981 on theBenchmark for (2981ds/141695Mi)
% 24.29/5.98  % (469247)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=3376098641:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2981 on theBenchmark for (2981ds/134677Mi)
% 24.29/5.98  % (469250)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1598000383:i=119:av=off:ss=axioms_2981 on theBenchmark for (2981ds/119Mi)
% 24.29/5.98  % (469249)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4223126373:i=109:sd=1:ins=1:gsp=on:ss=axioms_2981 on theBenchmark for (2981ds/109Mi)
% 24.29/5.98  % (469251)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4129218712:s2a=on:i=139:gtg=position_2981 on theBenchmark for (2981ds/139Mi)
% 24.29/5.98  % (469252)Instruction limit reached! 
% 24.29/5.98  % (469252)------------------------------
% 24.29/5.98  % (469252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.29/5.98  % (469252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.29/5.98  % (469252)CaDiCaL version: 2.1.3
% 24.29/5.98  % (469252)Termination reason: Instruction limit
% 24.29/5.98  % (469252)Termination phase: SInE selection
% 24.29/5.98  % (469252)Time elapsed: 0.128 s
% 24.29/5.98  % (469252)Peak memory usage: 119 MB
% 24.29/5.98  % (469252)Instructions burned: 129 (million)
% 24.29/5.98  % (469249)Instruction limit reached! 
% 24.29/5.98  % (469249)------------------------------
% 24.29/5.98  % (469249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.29/5.98  % (469249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.29/5.98  % (469249)CaDiCaL version: 2.1.3
% 24.29/5.98  % (469249)Termination reason: Instruction limit
% 24.29/5.98  % (469249)Termination phase: SInE selection
% 24.29/5.98  % (469249)Time elapsed: 0.113 s
% 24.29/5.98  % (469249)Peak memory usage: 118 MB
% 24.29/5.98  % (469249)Instructions burned: 109 (million)
% 24.29/5.98  % (469250)Instruction limit reached! 
% 24.29/5.98  % (469250)------------------------------
% 24.29/5.98  % (469250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.29/5.98  % (469250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.29/5.98  % (469250)CaDiCaL version: 2.1.3
% 24.29/5.98  % (469250)Termination reason: Instruction limit
% 24.29/5.98  % (469250)Termination phase: SInE selection
% 24.29/5.98  % (469250)Time elapsed: 0.123 s
% 24.29/5.98  % (469250)Peak memory usage: 118 MB
% 24.29/5.98  % (469250)Instructions burned: 119 (million)
% 24.29/5.98  % (469251)Instruction limit reached! 
% 24.29/5.98  % (469251)------------------------------
% 24.29/5.98  % (469251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.29/5.98  % (469251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.29/5.98  % (469251)CaDiCaL version: 2.1.3
% 24.29/5.98  % (469251)Termination reason: Instruction limit
% 24.29/5.98  % (469251)Termination phase: Property scanning
% 24.29/5.98  % (469251)Time elapsed: 0.115 s
% 24.29/5.98  % (469251)Peak memory usage: 118 MB
% 24.29/5.98  % (469251)Instructions burned: 139 (million)
% 24.29/5.98  % (469260)lrs+10_1_sil=8000:sp=occurrence:random_seed=2987490236:i=285:sd=3:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/285Mi)
% 24.29/5.98  % (469261)lrs+10_1_sil=32000:urr=on:br=off:random_seed=291617062:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/157Mi)
% 24.29/5.98  % (469262)lrs+1011_1_sil=32000:sp=occurrence:random_seed=996853:i=325:sd=1:ss=axioms:sgt=32_2977 on theBenchmark for (2977ds/325Mi)
% 24.29/5.98  % (469263)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=2149333848:s2a=on:i=248:s2at=1.23:gtg=position_2977 on theBenchmark for (2977ds/248Mi)
% 24.29/5.98  % (469260)Instruction limit reached! 
% 24.29/5.98  % (469260)------------------------------
% 38.02/7.79  % (469260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.02/7.79  % (469260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.02/7.79  % (469260)CaDiCaL version: 2.1.3
% 38.02/7.79  % (469260)Termination reason: Instruction limit
% 38.02/7.79  % (469260)Termination phase: Saturation
% 38.02/7.79  % (469260)Time elapsed: 0.195 s
% 38.02/7.79  % (469260)Peak memory usage: 125 MB
% 38.02/7.79  % (469260)Instructions burned: 285 (million)
% 38.02/7.79  % (469261)Instruction limit reached! 
% 38.02/7.79  % (469261)------------------------------
% 38.02/7.79  % (469261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.02/7.79  % (469261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.02/7.79  % (469261)CaDiCaL version: 2.1.3
% 38.02/7.79  % (469261)Termination reason: Instruction limit
% 38.02/7.79  % (469261)Termination phase: Property scanning
% 38.02/7.79  % (469261)Time elapsed: 0.132 s
% 38.02/7.79  % (469261)Peak memory usage: 118 MB
% 38.02/7.79  % (469261)Instructions burned: 158 (million)
% 38.02/7.79  % (469263)Instruction limit reached! 
% 38.02/7.79  % (469263)------------------------------
% 38.02/7.79  % (469263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.02/7.79  % (469263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.02/7.79  % (469263)CaDiCaL version: 2.1.3
% 38.02/7.79  % (469263)Termination reason: Instruction limit
% 38.02/7.79  % (469263)Termination phase: Property scanning
% 38.02/7.79  % (469263)Time elapsed: 0.205 s
% 38.02/7.79  % (469263)Peak memory usage: 119 MB
% 38.02/7.79  % (469263)Instructions burned: 249 (million)
% 38.02/7.79  % (469268)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2330922000:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2974 on theBenchmark for (2974ds/294Mi)
% 38.02/7.79  % (469262)Instruction limit reached! 
% 38.02/7.79  % (469262)------------------------------
% 38.02/7.79  % (469262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.02/7.79  % (469262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.02/7.79  % (469262)CaDiCaL version: 2.1.3
% 38.02/7.79  % (469262)Termination reason: Instruction limit
% 38.02/7.79  % (469262)Termination phase: Saturation
% 38.02/7.79  % (469262)Time elapsed: 0.322 s
% 38.02/7.79  % (469262)Peak memory usage: 124 MB
% 38.02/7.79  % (469262)Instructions burned: 326 (million)
% 38.02/7.79  % (469269)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3049083605:i=2350_2973 on theBenchmark for (2973ds/2350Mi)
% 38.02/7.79  % (469270)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3906034200:cts=off:i=113:fsr=off:ss=included:sgt=4_2972 on theBenchmark for (2972ds/113Mi)
% 38.02/7.79  % (469268)Instruction limit reached! 
% 38.02/7.79  % (469268)------------------------------
% 38.02/7.79  % (469268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.02/7.79  % (469268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.02/7.79  % (469268)CaDiCaL version: 2.1.3
% 38.02/7.79  % (469268)Termination reason: Instruction limit
% 38.02/7.79  % (469268)Termination phase: Preprocessing 3
% 38.02/7.79  % (469268)Time elapsed: 0.196 s
% 38.02/7.79  % (469268)Peak memory usage: 124 MB
% 38.02/7.79  % (469268)Instructions burned: 296 (million)
% 38.02/7.79  % (469272)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1420136402:i=127:av=off:fsr=off:sup=off_2971 on theBenchmark for (2971ds/127Mi)
% 38.02/7.79  % (469270)Instruction limit reached! 
% 38.02/7.79  % (469270)------------------------------
% 38.02/7.79  % (469270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.02/7.79  % (469270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.02/7.79  % (469270)CaDiCaL version: 2.1.3
% 38.02/7.79  % (469270)Termination reason: Instruction limit
% 38.02/7.79  % (469270)Termination phase: SInE selection
% 38.02/7.79  % (469270)Time elapsed: 0.127 s
% 38.02/7.79  % (469270)Peak memory usage: 118 MB
% 38.02/7.79  % (469270)Instructions burned: 113 (million)
% 38.02/7.79  % (469272)Instruction limit reached! 
% 38.02/7.79  % (469272)------------------------------
% 38.02/7.79  % (469272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.02/7.79  % (469272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.02/7.79  % (469272)CaDiCaL version: 2.1.3
% 38.02/7.79  % (469272)Termination reason: Instruction limit
% 38.02/7.79  % (469272)Termination phase: Preprocessing 1
% 38.02/7.79  % (469272)Time elapsed: 0.128 s
% 76.23/13.10  % (469272)Peak memory usage: 120 MB
% 76.23/13.10  % (469272)Instructions burned: 127 (million)
% 76.23/13.10  % (469275)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1542280626:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2970 on theBenchmark for (2970ds/114Mi)
% 76.23/13.10  % (469275)Instruction limit reached! 
% 76.23/13.10  % (469275)------------------------------
% 76.23/13.10  % (469275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.23/13.10  % (469275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.23/13.10  % (469275)CaDiCaL version: 2.1.3
% 76.23/13.10  % (469275)Termination reason: Instruction limit
% 76.23/13.10  % (469275)Termination phase: Property scanning
% 76.23/13.10  % (469275)Time elapsed: 0.053 s
% 76.23/13.10  % (469275)Peak memory usage: 118 MB
% 76.23/13.10  % (469275)Instructions burned: 115 (million)
% 76.23/13.10  % (469277)lrs+10_1_sil=8000:sp=occurrence:random_seed=331805864:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2969 on theBenchmark for (2969ds/907Mi)
% 76.23/13.10  % (469278)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3490427192:i=437:sd=1:aac=none:ss=included_2968 on theBenchmark for (2968ds/437Mi)
% 76.23/13.10  % (469280)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=618642393:i=5202:ss=axioms:sgt=16_2967 on theBenchmark for (2967ds/5202Mi)
% 76.23/13.10  % (469278)Refutation not found, incomplete strategy
% 76.23/13.10  % (469278)------------------------------
% 76.23/13.10  % (469278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.23/13.10  % (469278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.23/13.10  % (469278)CaDiCaL version: 2.1.3
% 76.23/13.10  % (469278)Termination reason: Refutation not found, incomplete strategy
% 76.23/13.10  % (469278)Time elapsed: 0.205 s
% 76.23/13.10  % (469278)Peak memory usage: 123 MB
% 76.23/13.10  % (469278)Instructions burned: 175 (million)
% 76.23/13.10  % (469278)------------------------------
% 76.23/13.10  % (469278)------------------------------
% 76.23/13.10  % (469277)Instruction limit reached! 
% 76.23/13.10  % (469277)------------------------------
% 76.23/13.10  % (469277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.23/13.10  % (469277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.23/13.10  % (469277)CaDiCaL version: 2.1.3
% 76.23/13.10  % (469277)Termination reason: Instruction limit
% 76.23/13.10  % (469277)Termination phase: Property scanning
% 76.23/13.10  % (469277)Time elapsed: 0.885 s
% 76.23/13.10  % (469277)Peak memory usage: 142 MB
% 76.23/13.10  % (469277)Instructions burned: 908 (million)
% 76.23/13.10  % (469284)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4252378854:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2958 on theBenchmark for (2958ds/134Mi)
% 76.23/13.10  % (469286)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=180086381:st=8:i=592:sd=3:ep=RST:ss=axioms_2957 on theBenchmark for (2957ds/592Mi)
% 76.23/13.10  % (469284)Instruction limit reached! 
% 76.23/13.10  % (469284)------------------------------
% 76.23/13.10  % (469284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.23/13.10  % (469284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.23/13.10  % (469284)CaDiCaL version: 2.1.3
% 76.23/13.10  % (469284)Termination reason: Instruction limit
% 76.23/13.10  % (469284)Termination phase: SInE selection
% 76.23/13.10  % (469284)Time elapsed: 0.148 s
% 76.23/13.10  % (469284)Peak memory usage: 118 MB
% 76.23/13.10  % (469284)Instructions burned: 135 (million)
% 76.23/13.10  % (469289)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=445556059:st=3:i=13193:sd=3:ss=axioms_2954 on theBenchmark for (2954ds/13193Mi)
% 76.23/13.10  % (469269)Instruction limit reached! 
% 76.23/13.10  % (469269)------------------------------
% 76.23/13.10  % (469269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.23/13.10  % (469269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.23/13.10  % (469269)CaDiCaL version: 2.1.3
% 76.23/13.10  % (469269)Termination reason: Instruction limit
% 76.23/13.10  % (469269)Termination phase: Function definition elimination
% 76.23/13.10  % (469269)Time elapsed: 2.207 s
% 76.23/13.10  % (469269)Peak memory usage: 186 MB
% 76.23/13.10  % (469269)Instructions burned: 2351 (million)
% 76.23/13.10  % (469286)Instruction limit reached! 
% 76.23/13.10  % (469286)------------------------------
% 76.23/13.10  % (469286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.23/13.10  % (469286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.73/13.72  % (469286)CaDiCaL version: 2.1.3
% 32.73/13.72  % (469286)Termination reason: Instruction limit
% 32.73/13.72  % (469286)Termination phase: Preprocessing 3
% 32.73/13.72  % (469286)Time elapsed: 0.663 s
% 32.73/13.72  % (469286)Peak memory usage: 140 MB
% 32.73/13.72  % (469286)Instructions burned: 592 (million)
% 32.73/13.72  % (469291)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=4092949713:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2949 on theBenchmark for (2949ds/125Mi)
% 32.73/13.72  % (469291)Instruction limit reached! 
% 32.73/13.72  % (469291)------------------------------
% 32.73/13.72  % (469291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.73/13.72  % (469291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.73/13.72  % (469291)CaDiCaL version: 2.1.3
% 32.73/13.72  % (469291)Termination reason: Instruction limit
% 32.73/13.72  % (469291)Termination phase: Property scanning
% 32.73/13.72  % (469291)Time elapsed: 0.096 s
% 32.73/13.72  % (469291)Peak memory usage: 118 MB
% 32.73/13.72  % (469291)Instructions burned: 126 (million)
% 32.73/13.72  % (469292)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3958398609:i=134:gtgl=5:slsql=off:gtg=exists_sym_2947 on theBenchmark for (2947ds/134Mi)
% 32.73/13.72  % (469292)Instruction limit reached! 
% 32.73/13.72  % (469292)------------------------------
% 32.73/13.72  % (469292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.73/13.72  % (469292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.73/13.72  % (469292)CaDiCaL version: 2.1.3
% 32.73/13.72  % (469292)Termination reason: Instruction limit
% 32.73/13.72  % (469292)Termination phase: Property scanning
% 32.73/13.72  % (469292)Time elapsed: 0.112 s
% 32.73/13.72  % (469292)Peak memory usage: 119 MB
% 32.73/13.72  % (469292)Instructions burned: 135 (million)
% 32.73/13.72  % (469296)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2910324368:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2945 on theBenchmark for (2945ds/141Mi)
% 32.73/13.72  % (469298)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=875713605:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2943 on theBenchmark for (2943ds/431Mi)
% 32.73/13.72  % (469296)Instruction limit reached! 
% 32.73/13.72  % (469296)------------------------------
% 32.73/13.72  % (469296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.73/13.72  % (469296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.73/13.72  % (469296)CaDiCaL version: 2.1.3
% 32.73/13.72  % (469296)Termination reason: Instruction limit
% 32.73/13.72  % (469296)Termination phase: NewCNF
% 32.73/13.72  % (469296)Time elapsed: 0.179 s
% 32.73/13.72  % (469296)Peak memory usage: 120 MB
% 32.73/13.72  % (469296)Instructions burned: 141 (million)
% 32.73/13.72  % (469298)Refutation not found, incomplete strategy
% 32.73/13.72  % (469298)------------------------------
% 32.73/13.72  % (469298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.73/13.72  % (469298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.73/13.72  % (469298)CaDiCaL version: 2.1.3
% 32.73/13.72  % (469298)Termination reason: Refutation not found, incomplete strategy
% 32.73/13.72  % (469298)Time elapsed: 0.186 s
% 32.73/13.72  % (469298)Peak memory usage: 124 MB
% 32.73/13.72  % (469298)Instructions burned: 159 (million)
% 32.73/13.72  % (469301)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=4245428033:i=6060:aac=none:ins=25_2940 on theBenchmark for (2940ds/6060Mi)
% 32.73/13.72  % (469298)------------------------------
% 32.73/13.72  % (469298)------------------------------
% 32.73/13.72  % (469303)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=4259582759:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2934 on theBenchmark for (2934ds/150Mi)
% 32.73/13.72  % (469303)Instruction limit reached! 
% 32.73/13.72  % (469303)------------------------------
% 32.73/13.72  % (469303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.73/13.72  % (469303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.73/13.72  % (469303)CaDiCaL version: 2.1.3
% 32.73/13.72  % (469303)Termination reason: Instruction limit
% 32.73/13.72  % (469303)Termination phase: Preprocessing 1
% 32.73/13.72  % (469303)Time elapsed: 0.185 s
% 32.73/13.72  % (469303)Peak memory usage: 120 MB
% 32.73/13.72  % (469303)Instructions burned: 150 (million)
% 32.73/13.72  % (469305)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1152139875:i=14155:bd=all_2929 on theBenchmark for (2929ds/14155Mi)
% 32.73/13.72  % (469280)Instruction limit reached! 
% 32.73/13.72  % (469280)------------------------------
% 32.73/13.72  % (469280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.73/13.72  % (469280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.73/13.72  % (469280)CaDiCaL version: 2.1.3
% 32.73/13.72  % (469280)Termination reason: Instruction limit
% 32.73/13.72  % (469280)Termination phase: Saturation
% 32.73/13.72  % (469280)Time elapsed: 4.664 s
% 32.73/13.72  % (469280)Peak memory usage: 252 MB
% 32.73/13.72  % (469280)Instructions burned: 5203 (million)
% 32.73/13.72  % (469307)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3321265682:i=667:av=off:fsr=off_2917 on theBenchmark for (2917ds/667Mi)
% 32.73/13.72  % (469307)Instruction limit reached! 
% 32.73/13.72  % (469307)------------------------------
% 32.73/13.72  % (469307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.73/13.72  % (469307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.73/13.72  % (469307)CaDiCaL version: 2.1.3
% 32.73/13.72  % (469307)Termination reason: Instruction limit
% 32.73/13.72  % (469307)Termination phase: NewCNF
% 32.73/13.72  % (469307)Time elapsed: 0.724 s
% 32.73/13.72  % (469307)Peak memory usage: 159 MB
% 32.73/13.72  % (469307)Instructions burned: 667 (million)
% 32.73/13.72  % (469309)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=162609450:s2a=on:i=185:s2at=1.8:fdi=4_2906 on theBenchmark for (2906ds/185Mi)
% 32.73/13.72  % (469309)Instruction limit reached! 
% 32.73/13.72  % (469309)------------------------------
% 32.73/13.72  % (469309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.73/13.72  % (469309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.73/13.72  % (469309)CaDiCaL version: 2.1.3
% 32.73/13.72  % (469309)Termination reason: Instruction limit
% 32.73/13.72  % (469309)Termination phase: SInE selection
% 32.73/13.72  % (469309)Time elapsed: 0.131 s
% 32.73/13.72  % (469309)Peak memory usage: 118 MB
% 32.73/13.72  % (469309)Instructions burned: 185 (million)
% 32.73/13.72  % (469333)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1950571589:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2903 on theBenchmark for (2903ds/193Mi)
% 32.73/13.72  % (469333)Instruction limit reached! 
% 32.73/13.72  % (469333)------------------------------
% 32.73/13.72  % (469333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.73/13.72  % (469333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.73/13.72  % (469333)CaDiCaL version: 2.1.3
% 32.73/13.72  % (469333)Termination reason: Instruction limit
% 32.73/13.72  % (469333)Termination phase: SInE selection
% 32.73/13.72  % (469333)Time elapsed: 0.154 s
% 32.73/13.72  % (469333)Peak memory usage: 119 MB
% 32.73/13.72  % (469333)Instructions burned: 193 (million)
% 32.73/13.72  % (469352)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2008457671:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2900 on theBenchmark for (2900ds/4850Mi)
% 32.73/13.72  % (469301)Instruction limit reached! 
% 32.73/13.72  % (469301)------------------------------
% 32.73/13.72  % (469301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.73/13.72  % (469301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.73/13.72  % (469301)CaDiCaL version: 2.1.3
% 32.73/13.72  % (469301)Termination reason: Instruction limit
% 32.73/13.72  % (469301)Termination phase: Property scanning
% 32.73/13.72  % (469301)Time elapsed: 4.142 s
% 32.73/13.72  % (469301)Peak memory usage: 202 MB
% 32.73/13.72  % (469301)Instructions burned: 6063 (million)
% 32.73/13.72  % (469354)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=4247683708:i=12111:sd=1:ss=included_2895 on theBenchmark for (2895ds/12111Mi)
% 32.73/13.72  % (469352)Instruction limit reached! 
% 32.73/13.72  % (469352)------------------------------
% 32.73/13.72  % (469352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.73/13.72  % (469352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.73/13.72  % (469352)CaDiCaL version: 2.1.3
% 32.73/13.72  % (469352)Termination reason: Instruction limit
% 32.73/13.72  % (469352)Termination phase: Property scanning
% 32.73/13.72  % (469352)Time elapsed: 2.174 s
% 32.73/13.72  % (469352)Peak memory usage: 175 MB
% 32.73/13.72  % (469352)Instructions burned: 4851 (million)
% 32.73/13.72  % (469354)First to succeed.
% 32.73/13.72  % (469354)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-469239"
% 32.73/13.72  % (469470)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2103790773:i=319:kws=precedence:fsr=off_2876 on theBenchmark for (2876ds/319Mi)
% 32.73/13.72  % (469470)Instruction limit reached! 
% 32.73/13.72  % (469470)------------------------------
% 32.73/13.72  % (469470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.73/13.72  % (469470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.73/13.72  % (469470)CaDiCaL version: 2.1.3
% 32.73/13.72  % (469470)Termination reason: Instruction limit
% 32.73/13.72  % (469470)Termination phase: Preprocessing 2
% 32.73/13.72  % (469470)Time elapsed: 0.266 s
% 32.73/13.72  % (469470)Peak memory usage: 141 MB
% 32.73/13.72  % (469470)Instructions burned: 319 (million)
% 32.73/13.72  % (469354)Refutation found. Thanks to Tanya!
% 32.73/13.72  % SZS status Theorem for theBenchmark
% 32.73/13.72  % SZS output start Proof for theBenchmark
% See solution above
% 80.65/13.87  % (469354)------------------------------
% 80.65/13.87  % (469354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.65/13.87  % (469354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.65/13.87  % (469354)CaDiCaL version: 2.1.3
% 80.65/13.87  % (469354)Termination reason: Refutation
% 80.65/13.87  % (469354)Time elapsed: 1.924 s
% 80.65/13.87  % (469354)Peak memory usage: 180 MB
% 80.65/13.87  % (469354)Instructions burned: 2825 (million)
% 80.65/13.87  % (469354)------------------------------
% 80.65/13.87  % (469354)------------------------------
% 80.65/13.87  % (469239)Success in time 12.93 s
% 80.65/13.87  % Vampire exiting
%------------------------------------------------------------------------------