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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LAT296+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:46:38 AM UTC 2026

% Result   : Theorem 14.86s 3.25s
% Output   : Refutation 15.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  233 (  43 unt;  14 def)
%            Number of atoms       : 1160 ( 104 equ)
%            Maximal formula atoms :   19 (   4 avg)
%            Number of connectives : 1598 ( 671   ~; 711   |; 160   &)
%                                         (  20 <=>;  36  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   34 (  32 usr;  15 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-3 aty)
%            Number of variables   :  179 (   0 sgn 171   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2328,axiom,
    ! [X0] :
      ( l3_lattices(X0)
     => ( ( ~ v3_struct_0(X0)
          & v17_lattices(X0) )
       => ( ~ v3_struct_0(X0)
          & v11_lattices(X0)
          & v13_lattices(X0)
          & v14_lattices(X0)
          & v15_lattices(X0)
          & v16_lattices(X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_lattices) ).

fof(f2397,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & l3_lattices(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,u1_struct_0(X0))
         => ( ( ~ v3_struct_0(X0)
              & v10_lattices(X0)
              & v11_lattices(X0)
              & v16_lattices(X0)
              & l3_lattices(X0) )
           => ! [X2] :
                ( m1_subset_1(X2,u1_struct_0(X0))
               => ( X2 = k7_lattices(X0,X1)
                <=> r2_lattices(X0,X2,X1) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d21_lattices) ).

fof(f2427,axiom,
    ! [X0,X1] :
      ( ( ~ v3_struct_0(X0)
        & l3_lattices(X0)
        & m1_subset_1(X1,u1_struct_0(X0)) )
     => m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_lattices) ).

fof(f2569,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0) )
     => ( ~ v3_struct_0(k1_lattice2(X0))
        & v3_lattices(k1_lattice2(X0))
        & v4_lattices(k1_lattice2(X0))
        & v5_lattices(k1_lattice2(X0))
        & v6_lattices(k1_lattice2(X0))
        & v7_lattices(k1_lattice2(X0))
        & v8_lattices(k1_lattice2(X0))
        & v9_lattices(k1_lattice2(X0))
        & v10_lattices(k1_lattice2(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_lattice2) ).

fof(f2597,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & l3_lattices(X0) )
     => ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
        & u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
        & u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_lattice2) ).

fof(f2646,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0) )
     => ( ( ~ v3_struct_0(X0)
          & v10_lattices(X0)
          & v11_lattices(X0)
          & l3_lattices(X0) )
      <=> ( ~ v3_struct_0(k1_lattice2(X0))
          & v10_lattices(k1_lattice2(X0))
          & v11_lattices(k1_lattice2(X0))
          & l3_lattices(k1_lattice2(X0)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t65_lattice2) ).

fof(f2669,axiom,
    ! [X0] :
      ( l3_lattices(X0)
     => ( v3_lattices(k1_lattice2(X0))
        & l3_lattices(k1_lattice2(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).

fof(f2922,axiom,
    ! [X0] :
      ( l3_lattices(X0)
     => ! [X1] :
          ( l3_lattices(X1)
         => ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
           => k1_lattice2(X0) = k1_lattice2(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_filter_2) ).

fof(f2923,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0) )
     => k1_lattice2(k1_lattice2(X0)) = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_filter_2) ).

fof(f2927,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & v15_lattices(X0)
        & v16_lattices(X0)
        & l3_lattices(X0) )
     => ! [X1] :
          ( ( ~ v3_struct_0(X1)
            & v10_lattices(X1)
            & v15_lattices(X1)
            & v16_lattices(X1)
            & l3_lattices(X1) )
         => ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
           => ! [X2] :
                ( m1_subset_1(X2,u1_struct_0(X0))
               => ! [X3] :
                    ( m1_subset_1(X3,u1_struct_0(X0))
                   => ! [X4] :
                        ( m1_subset_1(X4,u1_struct_0(X1))
                       => ! [X5] :
                            ( m1_subset_1(X5,u1_struct_0(X1))
                           => ( ( X2 = X4
                                & X3 = X5
                                & r2_lattices(X0,X2,X3) )
                             => r2_lattices(X1,X4,X5) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_filter_2) ).

fof(f2928,conjecture,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & v17_lattices(X0)
        & l3_lattices(X0) )
     => ! [X1] :
          ( ( ~ v3_struct_0(X1)
            & v10_lattices(X1)
            & v17_lattices(X1)
            & l3_lattices(X1) )
         => ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
           => ! [X2] :
                ( m1_subset_1(X2,u1_struct_0(X0))
               => ! [X3] :
                    ( m1_subset_1(X3,u1_struct_0(X1))
                   => ( X2 = X3
                     => k7_lattices(X0,X2) = k7_lattices(X1,X3) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_filter_2) ).

fof(f2929,negated_conjecture,
    ~ ! [X0] :
        ( ( ~ v3_struct_0(X0)
          & v10_lattices(X0)
          & v17_lattices(X0)
          & l3_lattices(X0) )
       => ! [X1] :
            ( ( ~ v3_struct_0(X1)
              & v10_lattices(X1)
              & v17_lattices(X1)
              & l3_lattices(X1) )
           => ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
             => ! [X2] :
                  ( m1_subset_1(X2,u1_struct_0(X0))
                 => ! [X3] :
                      ( m1_subset_1(X3,u1_struct_0(X1))
                     => ( X2 = X3
                       => k7_lattices(X0,X2) = k7_lattices(X1,X3) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f2928]) ).

fof(f2950,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0) )
     => ( ~ v3_struct_0(k1_lattice2(X0))
        & v3_lattices(k1_lattice2(X0))
        & v5_lattices(k1_lattice2(X0))
        & v6_lattices(k1_lattice2(X0))
        & v7_lattices(k1_lattice2(X0))
        & v8_lattices(k1_lattice2(X0))
        & v9_lattices(k1_lattice2(X0))
        & v10_lattices(k1_lattice2(X0)) ) ),
    inference(pure_predicate_removal,[],[f2569]) ).

fof(f3071,plain,
    ! [X0] :
      ( ! [X1] :
          ( k1_lattice2(X0) = k1_lattice2(X1)
          | g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
          | ~ l3_lattices(X1) )
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f2922]) ).

fof(f3072,plain,
    ! [X0] :
      ( ! [X1] :
          ( k1_lattice2(X0) = k1_lattice2(X1)
          | g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
          | ~ l3_lattices(X1) )
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f3071]) ).

fof(f3073,plain,
    ! [X0] :
      ( k1_lattice2(k1_lattice2(X0)) = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f2923]) ).

fof(f3074,plain,
    ! [X0] :
      ( k1_lattice2(k1_lattice2(X0)) = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f3073]) ).

fof(f3081,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ! [X5] :
                          ( r2_lattices(X1,X4,X5)
                          | X2 != X4
                          | X3 != X5
                          | ~ r2_lattices(X0,X2,X3)
                          | ~ m1_subset_1(X5,u1_struct_0(X1)) )
                      | ~ m1_subset_1(X4,u1_struct_0(X1)) )
                  | ~ m1_subset_1(X3,u1_struct_0(X0)) )
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
          | v3_struct_0(X1)
          | ~ v10_lattices(X1)
          | ~ v15_lattices(X1)
          | ~ v16_lattices(X1)
          | ~ l3_lattices(X1) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v15_lattices(X0)
      | ~ v16_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f2927]) ).

fof(f3082,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ! [X5] :
                          ( r2_lattices(X1,X4,X5)
                          | X2 != X4
                          | X3 != X5
                          | ~ r2_lattices(X0,X2,X3)
                          | ~ m1_subset_1(X5,u1_struct_0(X1)) )
                      | ~ m1_subset_1(X4,u1_struct_0(X1)) )
                  | ~ m1_subset_1(X3,u1_struct_0(X0)) )
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
          | v3_struct_0(X1)
          | ~ v10_lattices(X1)
          | ~ v15_lattices(X1)
          | ~ v16_lattices(X1)
          | ~ l3_lattices(X1) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v15_lattices(X0)
      | ~ v16_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f3081]) ).

fof(f3083,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( k7_lattices(X0,X2) != k7_lattices(X1,X3)
                  & X2 = X3
                  & m1_subset_1(X3,u1_struct_0(X1)) )
              & m1_subset_1(X2,u1_struct_0(X0)) )
          & g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
          & ~ v3_struct_0(X1)
          & v10_lattices(X1)
          & v17_lattices(X1)
          & l3_lattices(X1) )
      & ~ v3_struct_0(X0)
      & v10_lattices(X0)
      & v17_lattices(X0)
      & l3_lattices(X0) ),
    inference(ennf_transformation,[],[f2929]) ).

fof(f3084,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( k7_lattices(X0,X2) != k7_lattices(X1,X3)
                  & X2 = X3
                  & m1_subset_1(X3,u1_struct_0(X1)) )
              & m1_subset_1(X2,u1_struct_0(X0)) )
          & g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
          & ~ v3_struct_0(X1)
          & v10_lattices(X1)
          & v17_lattices(X1)
          & l3_lattices(X1) )
      & ~ v3_struct_0(X0)
      & v10_lattices(X0)
      & v17_lattices(X0)
      & l3_lattices(X0) ),
    inference(flattening,[],[f3083]) ).

fof(f3169,plain,
    ! [X0] :
      ( ( ( ~ v3_struct_0(X0)
          & v10_lattices(X0)
          & v11_lattices(X0)
          & l3_lattices(X0) )
      <=> ( ~ v3_struct_0(k1_lattice2(X0))
          & v10_lattices(k1_lattice2(X0))
          & v11_lattices(k1_lattice2(X0))
          & l3_lattices(k1_lattice2(X0)) ) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f2646]) ).

fof(f3170,plain,
    ! [X0] :
      ( ( ( ~ v3_struct_0(X0)
          & v10_lattices(X0)
          & v11_lattices(X0)
          & l3_lattices(X0) )
      <=> ( ~ v3_struct_0(k1_lattice2(X0))
          & v10_lattices(k1_lattice2(X0))
          & v11_lattices(k1_lattice2(X0))
          & l3_lattices(k1_lattice2(X0)) ) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f3169]) ).

fof(f3201,plain,
    ! [X0] :
      ( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
        & u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
        & u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
      | v3_struct_0(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f2597]) ).

fof(f3202,plain,
    ! [X0] :
      ( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
        & u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
        & u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
      | v3_struct_0(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f3201]) ).

fof(f3213,plain,
    ! [X0] :
      ( ( v3_lattices(k1_lattice2(X0))
        & l3_lattices(k1_lattice2(X0)) )
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f2669]) ).

fof(f3216,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k1_lattice2(X0))
        & v3_lattices(k1_lattice2(X0))
        & v5_lattices(k1_lattice2(X0))
        & v6_lattices(k1_lattice2(X0))
        & v7_lattices(k1_lattice2(X0))
        & v8_lattices(k1_lattice2(X0))
        & v9_lattices(k1_lattice2(X0))
        & v10_lattices(k1_lattice2(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f2950]) ).

fof(f3217,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k1_lattice2(X0))
        & v3_lattices(k1_lattice2(X0))
        & v5_lattices(k1_lattice2(X0))
        & v6_lattices(k1_lattice2(X0))
        & v7_lattices(k1_lattice2(X0))
        & v8_lattices(k1_lattice2(X0))
        & v9_lattices(k1_lattice2(X0))
        & v10_lattices(k1_lattice2(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f3216]) ).

fof(f3403,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v11_lattices(X0)
        & v13_lattices(X0)
        & v14_lattices(X0)
        & v15_lattices(X0)
        & v16_lattices(X0) )
      | v3_struct_0(X0)
      | ~ v17_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f2328]) ).

fof(f3404,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v11_lattices(X0)
        & v13_lattices(X0)
        & v14_lattices(X0)
        & v15_lattices(X0)
        & v16_lattices(X0) )
      | v3_struct_0(X0)
      | ~ v17_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f3403]) ).

fof(f3405,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( X2 = k7_lattices(X0,X1)
              <=> r2_lattices(X0,X2,X1) )
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | v3_struct_0(X0)
          | ~ v10_lattices(X0)
          | ~ v11_lattices(X0)
          | ~ v16_lattices(X0)
          | ~ l3_lattices(X0)
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | v3_struct_0(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f2397]) ).

fof(f3406,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( X2 = k7_lattices(X0,X1)
              <=> r2_lattices(X0,X2,X1) )
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | v3_struct_0(X0)
          | ~ v10_lattices(X0)
          | ~ v11_lattices(X0)
          | ~ v16_lattices(X0)
          | ~ l3_lattices(X0)
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | v3_struct_0(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f3405]) ).

fof(f3419,plain,
    ! [X0,X1] :
      ( m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ l3_lattices(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0)) ),
    inference(ennf_transformation,[],[f2427]) ).

fof(f3420,plain,
    ! [X0,X1] :
      ( m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ l3_lattices(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0)) ),
    inference(flattening,[],[f3419]) ).

fof(f3445,plain,
    ( k7_lattices(sK4,sK6) != k7_lattices(sK5,sK7)
    & sK6 = sK7
    & m1_subset_1(sK7,u1_struct_0(sK5))
    & m1_subset_1(sK6,u1_struct_0(sK4))
    & g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4)) = g3_lattices(u1_struct_0(sK5),u2_lattices(sK5),u1_lattices(sK5))
    & ~ v3_struct_0(sK5)
    & v10_lattices(sK5)
    & v17_lattices(sK5)
    & l3_lattices(sK5)
    & ~ v3_struct_0(sK4)
    & v10_lattices(sK4)
    & v17_lattices(sK4)
    & l3_lattices(sK4) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7]),skolemize(X0,sK4),skolemize(X1,sK5),skolemize(X2,sK6),skolemize(X3,sK7)],[f3084]) ).

fof(f3479,plain,
    ! [X0] :
      ( ( ( ( ~ v3_struct_0(X0)
            & v10_lattices(X0)
            & v11_lattices(X0)
            & l3_lattices(X0) )
          | v3_struct_0(k1_lattice2(X0))
          | ~ v10_lattices(k1_lattice2(X0))
          | ~ v11_lattices(k1_lattice2(X0))
          | ~ l3_lattices(k1_lattice2(X0)) )
        & ( ( ~ v3_struct_0(k1_lattice2(X0))
            & v10_lattices(k1_lattice2(X0))
            & v11_lattices(k1_lattice2(X0))
            & l3_lattices(k1_lattice2(X0)) )
          | v3_struct_0(X0)
          | ~ v10_lattices(X0)
          | ~ v11_lattices(X0)
          | ~ l3_lattices(X0) ) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(nnf_transformation,[],[f3170]) ).

fof(f3480,plain,
    ! [X0] :
      ( ( ( ( ~ v3_struct_0(X0)
            & v10_lattices(X0)
            & v11_lattices(X0)
            & l3_lattices(X0) )
          | v3_struct_0(k1_lattice2(X0))
          | ~ v10_lattices(k1_lattice2(X0))
          | ~ v11_lattices(k1_lattice2(X0))
          | ~ l3_lattices(k1_lattice2(X0)) )
        & ( ( ~ v3_struct_0(k1_lattice2(X0))
            & v10_lattices(k1_lattice2(X0))
            & v11_lattices(k1_lattice2(X0))
            & l3_lattices(k1_lattice2(X0)) )
          | v3_struct_0(X0)
          | ~ v10_lattices(X0)
          | ~ v11_lattices(X0)
          | ~ l3_lattices(X0) ) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f3479]) ).

fof(f3598,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( X2 = k7_lattices(X0,X1)
                  | ~ r2_lattices(X0,X2,X1) )
                & ( r2_lattices(X0,X2,X1)
                  | k7_lattices(X0,X1) != X2 ) )
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | v3_struct_0(X0)
          | ~ v10_lattices(X0)
          | ~ v11_lattices(X0)
          | ~ v16_lattices(X0)
          | ~ l3_lattices(X0)
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | v3_struct_0(X0)
      | ~ l3_lattices(X0) ),
    inference(nnf_transformation,[],[f3406]) ).

fof(f3675,plain,
    ! [X0,X1] :
      ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
      | k1_lattice2(X0) = k1_lattice2(X1)
      | ~ l3_lattices(X1)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f3072]) ).

fof(f3676,plain,
    ! [X0] :
      ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = k1_lattice2(k1_lattice2(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f3074]) ).

fof(f3683,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( r2_lattices(X1,X4,X5)
      | X2 != X4
      | X3 != X5
      | ~ r2_lattices(X0,X2,X3)
      | ~ m1_subset_1(X5,u1_struct_0(X1))
      | ~ m1_subset_1(X4,u1_struct_0(X1))
      | ~ m1_subset_1(X3,u1_struct_0(X0))
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
      | v3_struct_0(X1)
      | ~ v10_lattices(X1)
      | ~ v15_lattices(X1)
      | ~ v16_lattices(X1)
      | ~ l3_lattices(X1)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v15_lattices(X0)
      | ~ v16_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f3082]) ).

fof(f3684,plain,
    l3_lattices(sK4),
    inference(cnf_transformation,[],[f3445]) ).

fof(f3685,plain,
    v17_lattices(sK4),
    inference(cnf_transformation,[],[f3445]) ).

fof(f3686,plain,
    v10_lattices(sK4),
    inference(cnf_transformation,[],[f3445]) ).

fof(f3687,plain,
    ~ v3_struct_0(sK4),
    inference(cnf_transformation,[],[f3445]) ).

fof(f3688,plain,
    l3_lattices(sK5),
    inference(cnf_transformation,[],[f3445]) ).

fof(f3689,plain,
    v17_lattices(sK5),
    inference(cnf_transformation,[],[f3445]) ).

fof(f3690,plain,
    v10_lattices(sK5),
    inference(cnf_transformation,[],[f3445]) ).

fof(f3691,plain,
    ~ v3_struct_0(sK5),
    inference(cnf_transformation,[],[f3445]) ).

fof(f3692,plain,
    g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4)) = g3_lattices(u1_struct_0(sK5),u2_lattices(sK5),u1_lattices(sK5)),
    inference(cnf_transformation,[],[f3445]) ).

fof(f3693,plain,
    m1_subset_1(sK6,u1_struct_0(sK4)),
    inference(cnf_transformation,[],[f3445]) ).

fof(f3694,plain,
    m1_subset_1(sK7,u1_struct_0(sK5)),
    inference(cnf_transformation,[],[f3445]) ).

fof(f3695,plain,
    sK6 = sK7,
    inference(cnf_transformation,[],[f3445]) ).

fof(f3696,plain,
    k7_lattices(sK4,sK6) != k7_lattices(sK5,sK7),
    inference(cnf_transformation,[],[f3445]) ).

fof(f3798,plain,
    ! [X0] :
      ( v11_lattices(k1_lattice2(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v11_lattices(X0)
      | ~ l3_lattices(X0)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f3480]) ).

fof(f3802,plain,
    ! [X0] :
      ( v3_struct_0(k1_lattice2(X0))
      | v11_lattices(X0)
      | ~ v10_lattices(k1_lattice2(X0))
      | ~ v11_lattices(k1_lattice2(X0))
      | ~ l3_lattices(k1_lattice2(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f3480]) ).

fof(f3833,plain,
    ! [X0] :
      ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
      | v3_struct_0(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f3202]) ).

fof(f3853,plain,
    ! [X0] :
      ( l3_lattices(k1_lattice2(X0))
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f3213]) ).

fof(f3856,plain,
    ! [X0] :
      ( v10_lattices(k1_lattice2(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f3217]) ).

fof(f3863,plain,
    ! [X0] :
      ( ~ v3_struct_0(k1_lattice2(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f3217]) ).

fof(f4143,plain,
    ! [X0] :
      ( v16_lattices(X0)
      | v3_struct_0(X0)
      | ~ v17_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f3404]) ).

fof(f4144,plain,
    ! [X0] :
      ( v15_lattices(X0)
      | v3_struct_0(X0)
      | ~ v17_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f3404]) ).

fof(f4147,plain,
    ! [X0] :
      ( v11_lattices(X0)
      | v3_struct_0(X0)
      | ~ v17_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f3404]) ).

fof(f4162,plain,
    ! [X2,X0,X1] :
      ( r2_lattices(X0,X2,X1)
      | k7_lattices(X0,X1) != X2
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v11_lattices(X0)
      | ~ v16_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f3598]) ).

fof(f4163,plain,
    ! [X2,X0,X1] :
      ( k7_lattices(X0,X1) = X2
      | ~ r2_lattices(X0,X2,X1)
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v11_lattices(X0)
      | ~ v16_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f3598]) ).

fof(f4179,plain,
    ! [X0,X1] :
      ( m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ l3_lattices(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0)) ),
    inference(cnf_transformation,[],[f3420]) ).

fof(f4214,plain,
    ! [X3,X0,X1,X4,X5] :
      ( r2_lattices(X1,X4,X5)
      | X3 != X5
      | ~ r2_lattices(X0,X4,X3)
      | ~ m1_subset_1(X5,u1_struct_0(X1))
      | ~ m1_subset_1(X4,u1_struct_0(X1))
      | ~ m1_subset_1(X3,u1_struct_0(X0))
      | ~ m1_subset_1(X4,u1_struct_0(X0))
      | g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
      | v3_struct_0(X1)
      | ~ v10_lattices(X1)
      | ~ v15_lattices(X1)
      | ~ v16_lattices(X1)
      | ~ l3_lattices(X1)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v15_lattices(X0)
      | ~ v16_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(equality_resolution,[],[f3683]) ).

fof(f4215,plain,
    ! [X0,X1,X4,X5] :
      ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
      | ~ r2_lattices(X0,X4,X5)
      | ~ m1_subset_1(X5,u1_struct_0(X1))
      | ~ m1_subset_1(X4,u1_struct_0(X1))
      | ~ m1_subset_1(X5,u1_struct_0(X0))
      | ~ m1_subset_1(X4,u1_struct_0(X0))
      | r2_lattices(X1,X4,X5)
      | v3_struct_0(X1)
      | ~ v10_lattices(X1)
      | ~ v15_lattices(X1)
      | ~ v16_lattices(X1)
      | ~ l3_lattices(X1)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v15_lattices(X0)
      | ~ v16_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(equality_resolution,[],[f4214]) ).

fof(f4229,plain,
    ! [X0,X1] :
      ( r2_lattices(X0,k7_lattices(X0,X1),X1)
      | ~ m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v11_lattices(X0)
      | ~ v16_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ l3_lattices(X0) ),
    inference(equality_resolution,[],[f4162]) ).

fof(f4243,plain,
    ! [X0] :
      ( v11_lattices(k1_lattice2(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v11_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(duplicate_literal_removal,[],[f3798]) ).

fof(f4248,plain,
    ! [X2,X0,X1] :
      ( k7_lattices(X0,X1) = X2
      | ~ r2_lattices(X0,X2,X1)
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v11_lattices(X0)
      | ~ v16_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0)) ),
    inference(duplicate_literal_removal,[],[f4163]) ).

fof(f4249,plain,
    ! [X0,X1] :
      ( r2_lattices(X0,k7_lattices(X0,X1),X1)
      | ~ m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v11_lattices(X0)
      | ~ v16_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0)) ),
    inference(duplicate_literal_removal,[],[f4229]) ).

fof(f4260,plain,
    m1_subset_1(sK6,u1_struct_0(sK5)),
    inference(forward_demodulation,[],[f3694,f3695]) ).

fof(f4266,plain,
    k7_lattices(sK4,sK6) != k7_lattices(sK5,sK6),
    inference(forward_demodulation,[],[f3696,f3695]) ).

fof(f4267,plain,
    ! [X0] :
      ( k7_lattices(sK4,sK6) != X0
      | ~ r2_lattices(sK5,X0,sK6)
      | ~ m1_subset_1(X0,u1_struct_0(sK5))
      | v3_struct_0(sK5)
      | ~ v10_lattices(sK5)
      | ~ v11_lattices(sK5)
      | ~ v16_lattices(sK5)
      | ~ l3_lattices(sK5)
      | ~ m1_subset_1(sK6,u1_struct_0(sK5)) ),
    inference(superposition,[],[f4266,f4248]) ).

fof(f4268,plain,
    ! [X0] :
      ( k7_lattices(sK4,sK6) != X0
      | ~ r2_lattices(sK5,X0,sK6)
      | ~ m1_subset_1(X0,u1_struct_0(sK5))
      | ~ v10_lattices(sK5)
      | ~ v11_lattices(sK5)
      | ~ v16_lattices(sK5)
      | ~ l3_lattices(sK5)
      | ~ m1_subset_1(sK6,u1_struct_0(sK5)) ),
    inference(forward_subsumption_resolution,[],[f4267,f3691]) ).

fof(f4269,plain,
    ! [X0] :
      ( k7_lattices(sK4,sK6) != X0
      | ~ r2_lattices(sK5,X0,sK6)
      | ~ m1_subset_1(X0,u1_struct_0(sK5))
      | ~ v11_lattices(sK5)
      | ~ v16_lattices(sK5)
      | ~ l3_lattices(sK5)
      | ~ m1_subset_1(sK6,u1_struct_0(sK5)) ),
    inference(forward_subsumption_resolution,[],[f4268,f3690]) ).

fof(f4270,plain,
    ! [X0] :
      ( k7_lattices(sK4,sK6) != X0
      | ~ r2_lattices(sK5,X0,sK6)
      | ~ m1_subset_1(X0,u1_struct_0(sK5))
      | ~ v11_lattices(sK5)
      | ~ v16_lattices(sK5)
      | ~ m1_subset_1(sK6,u1_struct_0(sK5)) ),
    inference(forward_subsumption_resolution,[],[f4269,f3688]) ).

fof(f4271,plain,
    ! [X0] :
      ( k7_lattices(sK4,sK6) != X0
      | ~ r2_lattices(sK5,X0,sK6)
      | ~ m1_subset_1(X0,u1_struct_0(sK5))
      | ~ v11_lattices(sK5)
      | ~ v16_lattices(sK5) ),
    inference(forward_subsumption_resolution,[],[f4270,f4260]) ).

fof(f4273,definition,
    ( spl105_4
  <=> v16_lattices(sK5) ),
    introduced(definition,[new_symbols(definition,[spl105_4])],[avatar_definition]) ).

fof(f4274,plain,
    ( ~ v16_lattices(sK5)
    | spl105_4 ),
    inference(avatar_component_clause,[],[f4273]) ).

fof(f4276,definition,
    ( spl105_5
  <=> v11_lattices(sK5) ),
    introduced(definition,[new_symbols(definition,[spl105_5])],[avatar_definition]) ).

fof(f4277,plain,
    ( ~ v11_lattices(sK5)
    | spl105_5 ),
    inference(avatar_component_clause,[],[f4276]) ).

fof(f4279,definition,
    ( spl105_6
  <=> ! [X0] :
        ( k7_lattices(sK4,sK6) != X0
        | ~ m1_subset_1(X0,u1_struct_0(sK5))
        | ~ r2_lattices(sK5,X0,sK6) ) ),
    introduced(definition,[new_symbols(definition,[spl105_6])],[avatar_definition]) ).

fof(f4280,plain,
    ( ! [X0] :
        ( k7_lattices(sK4,sK6) != X0
        | ~ m1_subset_1(X0,u1_struct_0(sK5))
        | ~ r2_lattices(sK5,X0,sK6) )
    | ~ spl105_6 ),
    inference(avatar_component_clause,[],[f4279]) ).

fof(f4281,plain,
    ( ~ spl105_4
    | ~ spl105_5
    | spl105_6 ),
    inference(avatar_split_clause,[],[f4271,f4279,f4276,f4273]) ).

fof(f4282,plain,
    ( v3_struct_0(sK5)
    | ~ v17_lattices(sK5)
    | ~ l3_lattices(sK5)
    | spl105_4 ),
    inference(resolution,[],[f4274,f4143]) ).

fof(f4285,plain,
    ( ~ v17_lattices(sK5)
    | ~ l3_lattices(sK5)
    | spl105_4 ),
    inference(forward_subsumption_resolution,[],[f4282,f3691]) ).

fof(f4287,plain,
    ( ~ l3_lattices(sK5)
    | spl105_4 ),
    inference(forward_subsumption_resolution,[],[f4285,f3689]) ).

fof(f4290,plain,
    ( $false
    | spl105_4 ),
    inference(forward_subsumption_resolution,[],[f4287,f3688]) ).

fof(f4291,plain,
    spl105_4,
    inference(avatar_contradiction_clause,[],[f4290]) ).

fof(f4295,plain,
    ! [X0] :
      ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4))
      | k1_lattice2(X0) = k1_lattice2(sK5)
      | ~ l3_lattices(sK5)
      | ~ l3_lattices(X0) ),
    inference(superposition,[],[f3675,f3692]) ).

fof(f4296,plain,
    ( g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4)) = k1_lattice2(k1_lattice2(sK5))
    | v3_struct_0(sK5)
    | ~ v10_lattices(sK5)
    | ~ l3_lattices(sK5) ),
    inference(superposition,[],[f3676,f3692]) ).

fof(f4311,plain,
    ! [X2,X0,X1] :
      ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4))
      | ~ r2_lattices(X0,X1,X2)
      | ~ m1_subset_1(X2,u1_struct_0(sK5))
      | ~ m1_subset_1(X1,u1_struct_0(sK5))
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | r2_lattices(sK5,X1,X2)
      | v3_struct_0(sK5)
      | ~ v10_lattices(sK5)
      | ~ v15_lattices(sK5)
      | ~ v16_lattices(sK5)
      | ~ l3_lattices(sK5)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v15_lattices(X0)
      | ~ v16_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(superposition,[],[f4215,f3692]) ).

fof(f4312,plain,
    ! [X2,X0,X1] :
      ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4))
      | ~ r2_lattices(X0,X1,X2)
      | ~ m1_subset_1(X2,u1_struct_0(sK5))
      | ~ m1_subset_1(X1,u1_struct_0(sK5))
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | r2_lattices(sK5,X1,X2)
      | ~ v10_lattices(sK5)
      | ~ v15_lattices(sK5)
      | ~ v16_lattices(sK5)
      | ~ l3_lattices(sK5)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v15_lattices(X0)
      | ~ v16_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(forward_subsumption_resolution,[],[f4311,f3691]) ).

fof(f4327,plain,
    ( g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4)) = k1_lattice2(k1_lattice2(sK5))
    | ~ v10_lattices(sK5)
    | ~ l3_lattices(sK5) ),
    inference(forward_subsumption_resolution,[],[f4296,f3691]) ).

fof(f4328,plain,
    ! [X0] :
      ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4))
      | k1_lattice2(X0) = k1_lattice2(sK5)
      | ~ l3_lattices(X0) ),
    inference(forward_subsumption_resolution,[],[f4295,f3688]) ).

fof(f4332,plain,
    ! [X2,X0,X1] :
      ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4))
      | ~ r2_lattices(X0,X1,X2)
      | ~ m1_subset_1(X2,u1_struct_0(sK5))
      | ~ m1_subset_1(X1,u1_struct_0(sK5))
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | r2_lattices(sK5,X1,X2)
      | ~ v15_lattices(sK5)
      | ~ v16_lattices(sK5)
      | ~ l3_lattices(sK5)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v15_lattices(X0)
      | ~ v16_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(forward_subsumption_resolution,[],[f4312,f3690]) ).

fof(f4353,plain,
    ( g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4)) = k1_lattice2(k1_lattice2(sK5))
    | ~ l3_lattices(sK5) ),
    inference(forward_subsumption_resolution,[],[f4327,f3690]) ).

fof(f4356,plain,
    ! [X2,X0,X1] :
      ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4))
      | ~ r2_lattices(X0,X1,X2)
      | ~ m1_subset_1(X2,u1_struct_0(sK5))
      | ~ m1_subset_1(X1,u1_struct_0(sK5))
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | r2_lattices(sK5,X1,X2)
      | ~ v15_lattices(sK5)
      | ~ v16_lattices(sK5)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v15_lattices(X0)
      | ~ v16_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(forward_subsumption_resolution,[],[f4332,f3688]) ).

fof(f4362,plain,
    g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4)) = k1_lattice2(k1_lattice2(sK5)),
    inference(forward_subsumption_resolution,[],[f4353,f3688]) ).

fof(f4365,definition,
    ( spl105_9
  <=> v15_lattices(sK5) ),
    introduced(definition,[new_symbols(definition,[spl105_9])],[avatar_definition]) ).

fof(f4366,plain,
    ( ~ v15_lattices(sK5)
    | spl105_9 ),
    inference(avatar_component_clause,[],[f4365]) ).

fof(f4368,definition,
    ( spl105_10
  <=> ! [X2,X0,X1] :
        ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4))
        | ~ l3_lattices(X0)
        | ~ v16_lattices(X0)
        | ~ v15_lattices(X0)
        | ~ v10_lattices(X0)
        | v3_struct_0(X0)
        | r2_lattices(sK5,X1,X2)
        | ~ m1_subset_1(X1,u1_struct_0(X0))
        | ~ m1_subset_1(X2,u1_struct_0(X0))
        | ~ m1_subset_1(X1,u1_struct_0(sK5))
        | ~ m1_subset_1(X2,u1_struct_0(sK5))
        | ~ r2_lattices(X0,X1,X2) ) ),
    introduced(definition,[new_symbols(definition,[spl105_10])],[avatar_definition]) ).

fof(f4369,plain,
    ( ! [X2,X0,X1] :
        ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4))
        | ~ l3_lattices(X0)
        | ~ v16_lattices(X0)
        | ~ v15_lattices(X0)
        | ~ v10_lattices(X0)
        | v3_struct_0(X0)
        | r2_lattices(sK5,X1,X2)
        | ~ m1_subset_1(X1,u1_struct_0(X0))
        | ~ m1_subset_1(X2,u1_struct_0(X0))
        | ~ m1_subset_1(X1,u1_struct_0(sK5))
        | ~ m1_subset_1(X2,u1_struct_0(sK5))
        | ~ r2_lattices(X0,X1,X2) )
    | ~ spl105_10 ),
    inference(avatar_component_clause,[],[f4368]) ).

fof(f4370,plain,
    ( ~ spl105_4
    | ~ spl105_9
    | spl105_10 ),
    inference(avatar_split_clause,[],[f4356,f4368,f4365,f4273]) ).

fof(f4391,plain,
    ( v3_struct_0(sK5)
    | ~ v17_lattices(sK5)
    | ~ l3_lattices(sK5)
    | spl105_5 ),
    inference(resolution,[],[f4277,f4147]) ).

fof(f4394,plain,
    ( ~ v17_lattices(sK5)
    | ~ l3_lattices(sK5)
    | spl105_5 ),
    inference(forward_subsumption_resolution,[],[f4391,f3691]) ).

fof(f4396,plain,
    ( ~ l3_lattices(sK5)
    | spl105_5 ),
    inference(forward_subsumption_resolution,[],[f4394,f3689]) ).

fof(f4399,plain,
    ( $false
    | spl105_5 ),
    inference(forward_subsumption_resolution,[],[f4396,f3688]) ).

fof(f4400,plain,
    spl105_5,
    inference(avatar_contradiction_clause,[],[f4399]) ).

fof(f4401,plain,
    ( v3_struct_0(sK5)
    | ~ v17_lattices(sK5)
    | ~ l3_lattices(sK5)
    | spl105_9 ),
    inference(resolution,[],[f4366,f4144]) ).

fof(f4408,plain,
    ( ~ v17_lattices(sK5)
    | ~ l3_lattices(sK5)
    | spl105_9 ),
    inference(forward_subsumption_resolution,[],[f4401,f3691]) ).

fof(f4412,plain,
    ( ~ l3_lattices(sK5)
    | spl105_9 ),
    inference(forward_subsumption_resolution,[],[f4408,f3689]) ).

fof(f4417,plain,
    ( $false
    | spl105_9 ),
    inference(forward_subsumption_resolution,[],[f4412,f3688]) ).

fof(f4418,plain,
    spl105_9,
    inference(avatar_contradiction_clause,[],[f4417]) ).

fof(f4516,definition,
    ( spl105_18
  <=> v16_lattices(sK4) ),
    introduced(definition,[new_symbols(definition,[spl105_18])],[avatar_definition]) ).

fof(f4517,plain,
    ( ~ v16_lattices(sK4)
    | spl105_18 ),
    inference(avatar_component_clause,[],[f4516]) ).

fof(f4519,definition,
    ( spl105_19
  <=> v15_lattices(sK4) ),
    introduced(definition,[new_symbols(definition,[spl105_19])],[avatar_definition]) ).

fof(f4520,plain,
    ( ~ v15_lattices(sK4)
    | spl105_19 ),
    inference(avatar_component_clause,[],[f4519]) ).

fof(f4545,plain,
    ( v3_struct_0(sK4)
    | ~ v17_lattices(sK4)
    | ~ l3_lattices(sK4)
    | spl105_19 ),
    inference(resolution,[],[f4520,f4144]) ).

fof(f4552,plain,
    ( ~ v17_lattices(sK4)
    | ~ l3_lattices(sK4)
    | spl105_19 ),
    inference(forward_subsumption_resolution,[],[f4545,f3687]) ).

fof(f4556,plain,
    ( ~ l3_lattices(sK4)
    | spl105_19 ),
    inference(forward_subsumption_resolution,[],[f4552,f3685]) ).

fof(f4561,plain,
    ( $false
    | spl105_19 ),
    inference(forward_subsumption_resolution,[],[f4556,f3684]) ).

fof(f4562,plain,
    spl105_19,
    inference(avatar_contradiction_clause,[],[f4561]) ).

fof(f4564,plain,
    ( ~ m1_subset_1(k7_lattices(sK4,sK6),u1_struct_0(sK5))
    | ~ r2_lattices(sK5,k7_lattices(sK4,sK6),sK6)
    | ~ spl105_6 ),
    inference(equality_resolution,[],[f4280]) ).

fof(f4566,definition,
    ( spl105_26
  <=> r2_lattices(sK5,k7_lattices(sK4,sK6),sK6) ),
    introduced(definition,[new_symbols(definition,[spl105_26])],[avatar_definition]) ).

fof(f4567,plain,
    ( ~ r2_lattices(sK5,k7_lattices(sK4,sK6),sK6)
    | spl105_26 ),
    inference(avatar_component_clause,[],[f4566]) ).

fof(f4569,definition,
    ( spl105_27
  <=> m1_subset_1(k7_lattices(sK4,sK6),u1_struct_0(sK5)) ),
    introduced(definition,[new_symbols(definition,[spl105_27])],[avatar_definition]) ).

fof(f4570,plain,
    ( ~ m1_subset_1(k7_lattices(sK4,sK6),u1_struct_0(sK5))
    | spl105_27 ),
    inference(avatar_component_clause,[],[f4569]) ).

fof(f4571,plain,
    ( ~ spl105_26
    | ~ spl105_27
    | ~ spl105_6 ),
    inference(avatar_split_clause,[],[f4564,f4279,f4569,f4566]) ).

fof(f4583,plain,
    ( v3_struct_0(sK4)
    | ~ v17_lattices(sK4)
    | ~ l3_lattices(sK4)
    | spl105_18 ),
    inference(resolution,[],[f4517,f4143]) ).

fof(f4586,plain,
    ( ~ v17_lattices(sK4)
    | ~ l3_lattices(sK4)
    | spl105_18 ),
    inference(forward_subsumption_resolution,[],[f4583,f3687]) ).

fof(f4588,plain,
    ( ~ l3_lattices(sK4)
    | spl105_18 ),
    inference(forward_subsumption_resolution,[],[f4586,f3685]) ).

fof(f4591,plain,
    ( $false
    | spl105_18 ),
    inference(forward_subsumption_resolution,[],[f4588,f3684]) ).

fof(f4592,plain,
    spl105_18,
    inference(avatar_contradiction_clause,[],[f4591]) ).

fof(f4593,plain,
    ! [X0] :
      ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != k1_lattice2(k1_lattice2(sK5))
      | k1_lattice2(X0) = k1_lattice2(sK5)
      | ~ l3_lattices(X0) ),
    inference(forward_demodulation,[],[f4328,f4362]) ).

fof(f4611,plain,
    ( k1_lattice2(k1_lattice2(sK5)) != k1_lattice2(k1_lattice2(sK5))
    | k1_lattice2(sK5) = k1_lattice2(sK4)
    | ~ l3_lattices(sK4) ),
    inference(superposition,[],[f4593,f4362]) ).

fof(f4612,plain,
    ( k1_lattice2(sK5) = k1_lattice2(sK4)
    | ~ l3_lattices(sK4) ),
    inference(trivial_inequality_removal,[],[f4611]) ).

fof(f4615,plain,
    k1_lattice2(sK5) = k1_lattice2(sK4),
    inference(forward_subsumption_resolution,[],[f4612,f3684]) ).

fof(f4658,plain,
    ( u1_struct_0(sK5) = u1_struct_0(k1_lattice2(sK4))
    | v3_struct_0(sK5)
    | ~ l3_lattices(sK5) ),
    inference(superposition,[],[f3833,f4615]) ).

fof(f4669,plain,
    ( ~ v3_struct_0(k1_lattice2(sK4))
    | v3_struct_0(sK5)
    | ~ v10_lattices(sK5)
    | ~ l3_lattices(sK5) ),
    inference(superposition,[],[f3863,f4615]) ).

fof(f4678,plain,
    ( v11_lattices(k1_lattice2(sK4))
    | v3_struct_0(sK5)
    | ~ v10_lattices(sK5)
    | ~ v11_lattices(sK5)
    | ~ l3_lattices(sK5) ),
    inference(superposition,[],[f4243,f4615]) ).

fof(f4681,plain,
    ( v11_lattices(k1_lattice2(sK4))
    | ~ v10_lattices(sK5)
    | ~ v11_lattices(sK5)
    | ~ l3_lattices(sK5) ),
    inference(forward_subsumption_resolution,[],[f4678,f3691]) ).

fof(f4690,plain,
    ( ~ v3_struct_0(k1_lattice2(sK4))
    | ~ v10_lattices(sK5)
    | ~ l3_lattices(sK5) ),
    inference(forward_subsumption_resolution,[],[f4669,f3691]) ).

fof(f4700,plain,
    ( u1_struct_0(sK5) = u1_struct_0(k1_lattice2(sK4))
    | ~ l3_lattices(sK5) ),
    inference(forward_subsumption_resolution,[],[f4658,f3691]) ).

fof(f4717,plain,
    ( v11_lattices(k1_lattice2(sK4))
    | ~ v11_lattices(sK5)
    | ~ l3_lattices(sK5) ),
    inference(forward_subsumption_resolution,[],[f4681,f3690]) ).

fof(f4726,plain,
    ( ~ v3_struct_0(k1_lattice2(sK4))
    | ~ l3_lattices(sK5) ),
    inference(forward_subsumption_resolution,[],[f4690,f3690]) ).

fof(f4734,plain,
    u1_struct_0(sK5) = u1_struct_0(k1_lattice2(sK4)),
    inference(forward_subsumption_resolution,[],[f4700,f3688]) ).

fof(f4751,plain,
    ( v11_lattices(k1_lattice2(sK4))
    | ~ v11_lattices(sK5) ),
    inference(forward_subsumption_resolution,[],[f4717,f3688]) ).

fof(f4758,plain,
    ~ v3_struct_0(k1_lattice2(sK4)),
    inference(forward_subsumption_resolution,[],[f4726,f3688]) ).

fof(f4784,definition,
    ( spl105_31
  <=> v11_lattices(k1_lattice2(sK4)) ),
    introduced(definition,[new_symbols(definition,[spl105_31])],[avatar_definition]) ).

fof(f4785,plain,
    ( v11_lattices(k1_lattice2(sK4))
    | ~ spl105_31 ),
    inference(avatar_component_clause,[],[f4784]) ).

fof(f4786,plain,
    ( ~ spl105_5
    | spl105_31 ),
    inference(avatar_split_clause,[],[f4751,f4784,f4276]) ).

fof(f4792,definition,
    ( spl105_33
  <=> v3_struct_0(k1_lattice2(sK4)) ),
    introduced(definition,[new_symbols(definition,[spl105_33])],[avatar_definition]) ).

fof(f4793,plain,
    ( ~ v3_struct_0(k1_lattice2(sK4))
    | spl105_33 ),
    inference(avatar_component_clause,[],[f4792]) ).

fof(f4803,plain,
    ~ spl105_33,
    inference(avatar_split_clause,[],[f4758,f4792]) ).

fof(f4967,plain,
    ( ! [X2,X0,X1] :
        ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != k1_lattice2(k1_lattice2(sK5))
        | ~ l3_lattices(X0)
        | ~ v16_lattices(X0)
        | ~ v15_lattices(X0)
        | ~ v10_lattices(X0)
        | v3_struct_0(X0)
        | r2_lattices(sK5,X1,X2)
        | ~ m1_subset_1(X1,u1_struct_0(X0))
        | ~ m1_subset_1(X2,u1_struct_0(X0))
        | ~ m1_subset_1(X1,u1_struct_0(sK5))
        | ~ m1_subset_1(X2,u1_struct_0(sK5))
        | ~ r2_lattices(X0,X1,X2) )
    | ~ spl105_10 ),
    inference(forward_demodulation,[],[f4369,f4362]) ).

fof(f4968,plain,
    ( ! [X2,X0,X1] :
        ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != k1_lattice2(k1_lattice2(sK4))
        | ~ l3_lattices(X0)
        | ~ v16_lattices(X0)
        | ~ v15_lattices(X0)
        | ~ v10_lattices(X0)
        | v3_struct_0(X0)
        | r2_lattices(sK5,X1,X2)
        | ~ m1_subset_1(X1,u1_struct_0(X0))
        | ~ m1_subset_1(X2,u1_struct_0(X0))
        | ~ m1_subset_1(X1,u1_struct_0(sK5))
        | ~ m1_subset_1(X2,u1_struct_0(sK5))
        | ~ r2_lattices(X0,X1,X2) )
    | ~ spl105_10 ),
    inference(forward_demodulation,[],[f4967,f4615]) ).

fof(f4969,plain,
    ( v11_lattices(sK4)
    | ~ v10_lattices(k1_lattice2(sK4))
    | ~ v11_lattices(k1_lattice2(sK4))
    | ~ l3_lattices(k1_lattice2(sK4))
    | v3_struct_0(sK4)
    | ~ v10_lattices(sK4)
    | ~ l3_lattices(sK4)
    | spl105_33 ),
    inference(resolution,[],[f4793,f3802]) ).

fof(f4970,plain,
    ( v11_lattices(sK4)
    | ~ v11_lattices(k1_lattice2(sK4))
    | ~ l3_lattices(k1_lattice2(sK4))
    | v3_struct_0(sK4)
    | ~ v10_lattices(sK4)
    | ~ l3_lattices(sK4)
    | spl105_33 ),
    inference(forward_subsumption_resolution,[],[f4969,f3856]) ).

fof(f4971,plain,
    ( v11_lattices(sK4)
    | ~ l3_lattices(k1_lattice2(sK4))
    | v3_struct_0(sK4)
    | ~ v10_lattices(sK4)
    | ~ l3_lattices(sK4)
    | ~ spl105_31
    | spl105_33 ),
    inference(forward_subsumption_resolution,[],[f4970,f4785]) ).

fof(f4972,plain,
    ( v11_lattices(sK4)
    | v3_struct_0(sK4)
    | ~ v10_lattices(sK4)
    | ~ l3_lattices(sK4)
    | ~ spl105_31
    | spl105_33 ),
    inference(forward_subsumption_resolution,[],[f4971,f3853]) ).

fof(f4973,plain,
    ( v11_lattices(sK4)
    | ~ v10_lattices(sK4)
    | ~ l3_lattices(sK4)
    | ~ spl105_31
    | spl105_33 ),
    inference(forward_subsumption_resolution,[],[f4972,f3687]) ).

fof(f4974,plain,
    ( v11_lattices(sK4)
    | ~ l3_lattices(sK4)
    | ~ spl105_31
    | spl105_33 ),
    inference(forward_subsumption_resolution,[],[f4973,f3686]) ).

fof(f4975,plain,
    ( v11_lattices(sK4)
    | ~ spl105_31
    | spl105_33 ),
    inference(forward_subsumption_resolution,[],[f4974,f3684]) ).

fof(f4982,plain,
    ( ! [X0,X1] :
        ( k1_lattice2(k1_lattice2(sK5)) != k1_lattice2(k1_lattice2(sK4))
        | ~ l3_lattices(sK4)
        | ~ v16_lattices(sK4)
        | ~ v15_lattices(sK4)
        | ~ v10_lattices(sK4)
        | v3_struct_0(sK4)
        | r2_lattices(sK5,X0,X1)
        | ~ m1_subset_1(X0,u1_struct_0(sK4))
        | ~ m1_subset_1(X1,u1_struct_0(sK4))
        | ~ m1_subset_1(X0,u1_struct_0(sK5))
        | ~ m1_subset_1(X1,u1_struct_0(sK5))
        | ~ r2_lattices(sK4,X0,X1) )
    | ~ spl105_10 ),
    inference(superposition,[],[f4968,f4362]) ).

fof(f4986,plain,
    ( ! [X0,X1] :
        ( k1_lattice2(k1_lattice2(sK5)) != k1_lattice2(k1_lattice2(sK4))
        | ~ v16_lattices(sK4)
        | ~ v15_lattices(sK4)
        | ~ v10_lattices(sK4)
        | v3_struct_0(sK4)
        | r2_lattices(sK5,X0,X1)
        | ~ m1_subset_1(X0,u1_struct_0(sK4))
        | ~ m1_subset_1(X1,u1_struct_0(sK4))
        | ~ m1_subset_1(X0,u1_struct_0(sK5))
        | ~ m1_subset_1(X1,u1_struct_0(sK5))
        | ~ r2_lattices(sK4,X0,X1) )
    | ~ spl105_10 ),
    inference(forward_subsumption_resolution,[],[f4982,f3684]) ).

fof(f4990,plain,
    ( ! [X0,X1] :
        ( k1_lattice2(k1_lattice2(sK5)) != k1_lattice2(k1_lattice2(sK4))
        | ~ v16_lattices(sK4)
        | ~ v15_lattices(sK4)
        | v3_struct_0(sK4)
        | r2_lattices(sK5,X0,X1)
        | ~ m1_subset_1(X0,u1_struct_0(sK4))
        | ~ m1_subset_1(X1,u1_struct_0(sK4))
        | ~ m1_subset_1(X0,u1_struct_0(sK5))
        | ~ m1_subset_1(X1,u1_struct_0(sK5))
        | ~ r2_lattices(sK4,X0,X1) )
    | ~ spl105_10 ),
    inference(forward_subsumption_resolution,[],[f4986,f3686]) ).

fof(f4994,plain,
    ( ! [X0,X1] :
        ( k1_lattice2(k1_lattice2(sK5)) != k1_lattice2(k1_lattice2(sK4))
        | ~ v16_lattices(sK4)
        | ~ v15_lattices(sK4)
        | r2_lattices(sK5,X0,X1)
        | ~ m1_subset_1(X0,u1_struct_0(sK4))
        | ~ m1_subset_1(X1,u1_struct_0(sK4))
        | ~ m1_subset_1(X0,u1_struct_0(sK5))
        | ~ m1_subset_1(X1,u1_struct_0(sK5))
        | ~ r2_lattices(sK4,X0,X1) )
    | ~ spl105_10 ),
    inference(forward_subsumption_resolution,[],[f4990,f3687]) ).

fof(f4995,plain,
    ( ! [X0,X1] :
        ( k1_lattice2(k1_lattice2(sK4)) != k1_lattice2(k1_lattice2(sK4))
        | ~ v16_lattices(sK4)
        | ~ v15_lattices(sK4)
        | r2_lattices(sK5,X0,X1)
        | ~ m1_subset_1(X0,u1_struct_0(sK4))
        | ~ m1_subset_1(X1,u1_struct_0(sK4))
        | ~ m1_subset_1(X0,u1_struct_0(sK5))
        | ~ m1_subset_1(X1,u1_struct_0(sK5))
        | ~ r2_lattices(sK4,X0,X1) )
    | ~ spl105_10 ),
    inference(forward_demodulation,[],[f4994,f4615]) ).

fof(f4996,plain,
    ( ! [X0,X1] :
        ( ~ v16_lattices(sK4)
        | ~ v15_lattices(sK4)
        | r2_lattices(sK5,X0,X1)
        | ~ m1_subset_1(X0,u1_struct_0(sK4))
        | ~ m1_subset_1(X1,u1_struct_0(sK4))
        | ~ m1_subset_1(X0,u1_struct_0(sK5))
        | ~ m1_subset_1(X1,u1_struct_0(sK5))
        | ~ r2_lattices(sK4,X0,X1) )
    | ~ spl105_10 ),
    inference(trivial_inequality_removal,[],[f4995]) ).

fof(f4998,definition,
    ( spl105_40
  <=> ! [X0,X1] :
        ( r2_lattices(sK5,X0,X1)
        | ~ r2_lattices(sK4,X0,X1)
        | ~ m1_subset_1(X1,u1_struct_0(sK5))
        | ~ m1_subset_1(X0,u1_struct_0(sK5))
        | ~ m1_subset_1(X1,u1_struct_0(sK4))
        | ~ m1_subset_1(X0,u1_struct_0(sK4)) ) ),
    introduced(definition,[new_symbols(definition,[spl105_40])],[avatar_definition]) ).

fof(f4999,plain,
    ( ! [X0,X1] :
        ( r2_lattices(sK5,X0,X1)
        | ~ r2_lattices(sK4,X0,X1)
        | ~ m1_subset_1(X1,u1_struct_0(sK5))
        | ~ m1_subset_1(X0,u1_struct_0(sK5))
        | ~ m1_subset_1(X1,u1_struct_0(sK4))
        | ~ m1_subset_1(X0,u1_struct_0(sK4)) )
    | ~ spl105_40 ),
    inference(avatar_component_clause,[],[f4998]) ).

fof(f5000,plain,
    ( spl105_40
    | ~ spl105_19
    | ~ spl105_18
    | ~ spl105_10 ),
    inference(avatar_split_clause,[],[f4996,f4368,f4516,f4519,f4998]) ).

fof(f5139,plain,
    ( u1_struct_0(sK5) = u1_struct_0(sK4)
    | v3_struct_0(sK4)
    | ~ l3_lattices(sK4) ),
    inference(superposition,[],[f3833,f4734]) ).

fof(f5301,plain,
    ( u1_struct_0(sK5) = u1_struct_0(sK4)
    | ~ l3_lattices(sK4) ),
    inference(forward_subsumption_resolution,[],[f5139,f3687]) ).

fof(f5371,plain,
    u1_struct_0(sK5) = u1_struct_0(sK4),
    inference(forward_subsumption_resolution,[],[f5301,f3684]) ).

fof(f6705,plain,
    ( ! [X0,X1] :
        ( ~ m1_subset_1(X1,u1_struct_0(sK4))
        | r2_lattices(sK5,X0,X1)
        | ~ r2_lattices(sK4,X0,X1)
        | ~ m1_subset_1(X0,u1_struct_0(sK5))
        | ~ m1_subset_1(X1,u1_struct_0(sK4))
        | ~ m1_subset_1(X0,u1_struct_0(sK4)) )
    | ~ spl105_40 ),
    inference(forward_demodulation,[],[f4999,f5371]) ).

fof(f6706,plain,
    ( ! [X0,X1] :
        ( ~ m1_subset_1(X1,u1_struct_0(sK4))
        | r2_lattices(sK5,X0,X1)
        | ~ r2_lattices(sK4,X0,X1)
        | ~ m1_subset_1(X0,u1_struct_0(sK5))
        | ~ m1_subset_1(X0,u1_struct_0(sK4)) )
    | ~ spl105_40 ),
    inference(duplicate_literal_removal,[],[f6705]) ).

fof(f6707,plain,
    ( ! [X0,X1] :
        ( ~ m1_subset_1(X0,u1_struct_0(sK4))
        | ~ m1_subset_1(X1,u1_struct_0(sK4))
        | r2_lattices(sK5,X0,X1)
        | ~ r2_lattices(sK4,X0,X1)
        | ~ m1_subset_1(X0,u1_struct_0(sK4)) )
    | ~ spl105_40 ),
    inference(forward_demodulation,[],[f6706,f5371]) ).

fof(f6708,plain,
    ( ! [X0,X1] :
        ( r2_lattices(sK5,X0,X1)
        | ~ m1_subset_1(X1,u1_struct_0(sK4))
        | ~ m1_subset_1(X0,u1_struct_0(sK4))
        | ~ r2_lattices(sK4,X0,X1) )
    | ~ spl105_40 ),
    inference(duplicate_literal_removal,[],[f6707]) ).

fof(f6709,plain,
    ( ~ m1_subset_1(sK6,u1_struct_0(sK4))
    | ~ m1_subset_1(k7_lattices(sK4,sK6),u1_struct_0(sK4))
    | ~ r2_lattices(sK4,k7_lattices(sK4,sK6),sK6)
    | spl105_26
    | ~ spl105_40 ),
    inference(resolution,[],[f6708,f4567]) ).

fof(f6711,plain,
    ( ~ m1_subset_1(k7_lattices(sK4,sK6),u1_struct_0(sK4))
    | ~ r2_lattices(sK4,k7_lattices(sK4,sK6),sK6)
    | spl105_26
    | ~ spl105_40 ),
    inference(forward_subsumption_resolution,[],[f6709,f3693]) ).

fof(f6713,definition,
    ( spl105_106
  <=> r2_lattices(sK4,k7_lattices(sK4,sK6),sK6) ),
    introduced(definition,[new_symbols(definition,[spl105_106])],[avatar_definition]) ).

fof(f6714,plain,
    ( ~ r2_lattices(sK4,k7_lattices(sK4,sK6),sK6)
    | spl105_106 ),
    inference(avatar_component_clause,[],[f6713]) ).

fof(f6716,definition,
    ( spl105_107
  <=> m1_subset_1(k7_lattices(sK4,sK6),u1_struct_0(sK4)) ),
    introduced(definition,[new_symbols(definition,[spl105_107])],[avatar_definition]) ).

fof(f6717,plain,
    ( ~ m1_subset_1(k7_lattices(sK4,sK6),u1_struct_0(sK4))
    | spl105_107 ),
    inference(avatar_component_clause,[],[f6716]) ).

fof(f6718,plain,
    ( ~ spl105_106
    | ~ spl105_107
    | spl105_26
    | ~ spl105_40 ),
    inference(avatar_split_clause,[],[f6711,f4998,f4566,f6716,f6713]) ).

fof(f7090,plain,
    ( v16_lattices(sK4)
    | ~ spl105_18 ),
    inference(avatar_component_clause,[],[f4516]) ).

fof(f7708,plain,
    ( ~ m1_subset_1(k7_lattices(sK4,sK6),u1_struct_0(sK4))
    | v3_struct_0(sK4)
    | ~ v10_lattices(sK4)
    | ~ v11_lattices(sK4)
    | ~ v16_lattices(sK4)
    | ~ l3_lattices(sK4)
    | ~ m1_subset_1(sK6,u1_struct_0(sK4))
    | spl105_106 ),
    inference(resolution,[],[f6714,f4249]) ).

fof(f7712,plain,
    ( v3_struct_0(sK4)
    | ~ v10_lattices(sK4)
    | ~ v11_lattices(sK4)
    | ~ v16_lattices(sK4)
    | ~ l3_lattices(sK4)
    | ~ m1_subset_1(sK6,u1_struct_0(sK4))
    | spl105_106 ),
    inference(forward_subsumption_resolution,[],[f7708,f4179]) ).

fof(f7714,plain,
    ( ~ v10_lattices(sK4)
    | ~ v11_lattices(sK4)
    | ~ v16_lattices(sK4)
    | ~ l3_lattices(sK4)
    | ~ m1_subset_1(sK6,u1_struct_0(sK4))
    | spl105_106 ),
    inference(forward_subsumption_resolution,[],[f7712,f3687]) ).

fof(f7716,plain,
    ( ~ v11_lattices(sK4)
    | ~ v16_lattices(sK4)
    | ~ l3_lattices(sK4)
    | ~ m1_subset_1(sK6,u1_struct_0(sK4))
    | spl105_106 ),
    inference(forward_subsumption_resolution,[],[f7714,f3686]) ).

fof(f7718,plain,
    ( ~ v16_lattices(sK4)
    | ~ l3_lattices(sK4)
    | ~ m1_subset_1(sK6,u1_struct_0(sK4))
    | ~ spl105_31
    | spl105_33
    | spl105_106 ),
    inference(forward_subsumption_resolution,[],[f7716,f4975]) ).

fof(f7720,plain,
    ( ~ l3_lattices(sK4)
    | ~ m1_subset_1(sK6,u1_struct_0(sK4))
    | ~ spl105_18
    | ~ spl105_31
    | spl105_33
    | spl105_106 ),
    inference(forward_subsumption_resolution,[],[f7718,f7090]) ).

fof(f7722,plain,
    ( ~ m1_subset_1(sK6,u1_struct_0(sK4))
    | ~ spl105_18
    | ~ spl105_31
    | spl105_33
    | spl105_106 ),
    inference(forward_subsumption_resolution,[],[f7720,f3684]) ).

fof(f7723,plain,
    ( $false
    | ~ spl105_18
    | ~ spl105_31
    | spl105_33
    | spl105_106 ),
    inference(forward_subsumption_resolution,[],[f7722,f3693]) ).

fof(f7724,plain,
    ( ~ spl105_18
    | ~ spl105_31
    | spl105_33
    | spl105_106 ),
    inference(avatar_contradiction_clause,[],[f7723]) ).

fof(f7726,plain,
    ( v3_struct_0(sK4)
    | ~ l3_lattices(sK4)
    | ~ m1_subset_1(sK6,u1_struct_0(sK4))
    | spl105_107 ),
    inference(resolution,[],[f6717,f4179]) ).

fof(f7734,plain,
    ( ~ l3_lattices(sK4)
    | ~ m1_subset_1(sK6,u1_struct_0(sK4))
    | spl105_107 ),
    inference(forward_subsumption_resolution,[],[f7726,f3687]) ).

fof(f7736,plain,
    ( ~ m1_subset_1(sK6,u1_struct_0(sK4))
    | spl105_107 ),
    inference(forward_subsumption_resolution,[],[f7734,f3684]) ).

fof(f7738,plain,
    ( $false
    | spl105_107 ),
    inference(forward_subsumption_resolution,[],[f7736,f3693]) ).

fof(f7739,plain,
    spl105_107,
    inference(avatar_contradiction_clause,[],[f7738]) ).

fof(f7743,plain,
    ( ~ m1_subset_1(k7_lattices(sK4,sK6),u1_struct_0(sK4))
    | spl105_27 ),
    inference(forward_demodulation,[],[f4570,f5371]) ).

fof(f7748,plain,
    ( ~ spl105_107
    | spl105_27 ),
    inference(avatar_split_clause,[],[f7743,f4569,f6716]) ).

cnf(s3,plain,
    ( ~ spl105_4
    | ~ spl105_5
    | spl105_6 ),
    inference(sat_conversion,[],[f4281]) ).

cnf(s5,plain,
    spl105_4,
    inference(sat_conversion,[],[f4291]) ).

cnf(s8,plain,
    ( ~ spl105_4
    | ~ spl105_9
    | spl105_10 ),
    inference(sat_conversion,[],[f4370]) ).

cnf(s15,plain,
    spl105_5,
    inference(sat_conversion,[],[f4400]) ).

cnf(s19,plain,
    spl105_9,
    inference(sat_conversion,[],[f4418]) ).

cnf(s37,plain,
    spl105_19,
    inference(sat_conversion,[],[f4562]) ).

cnf(s38,plain,
    ( ~ spl105_6
    | ~ spl105_26
    | ~ spl105_27 ),
    inference(sat_conversion,[],[f4571]) ).

cnf(s41,plain,
    spl105_18,
    inference(sat_conversion,[],[f4592]) ).

cnf(s51,plain,
    ( ~ spl105_5
    | spl105_31 ),
    inference(sat_conversion,[],[f4786]) ).

cnf(s56,plain,
    ~ spl105_33,
    inference(sat_conversion,[],[f4803]) ).

cnf(s67,plain,
    ( ~ spl105_10
    | ~ spl105_18
    | ~ spl105_19
    | spl105_40 ),
    inference(sat_conversion,[],[f5000]) ).

cnf(s145,plain,
    ( spl105_26
    | ~ spl105_40
    | ~ spl105_106
    | ~ spl105_107 ),
    inference(sat_conversion,[],[f6718]) ).

cnf(s170,plain,
    ( ~ spl105_18
    | ~ spl105_31
    | spl105_33
    | spl105_106 ),
    inference(sat_conversion,[],[f7724]) ).

cnf(s171,plain,
    spl105_107,
    inference(sat_conversion,[],[f7739]) ).

cnf(s172,plain,
    ( spl105_27
    | ~ spl105_107 ),
    inference(sat_conversion,[],[f7748]) ).

cnf(s173,plain,
    spl105_27,
    inference(rat,[],[s172,s171]) ).

cnf(s174,plain,
    ( spl105_26
    | ~ spl105_40
    | ~ spl105_106 ),
    inference(rat,[],[s145,s171]) ).

cnf(s182,plain,
    ( ~ spl105_6
    | ~ spl105_26 ),
    inference(rat,[],[s38,s173]) ).

cnf(s193,plain,
    spl105_31,
    inference(rat,[],[s51,s15]) ).

cnf(s194,plain,
    spl105_106,
    inference(rat,[],[s170,s41,s56,s193]) ).

cnf(s202,plain,
    ( ~ spl105_4
    | spl105_10 ),
    inference(rat,[],[s8,s19]) ).

cnf(s209,plain,
    spl105_10,
    inference(rat,[],[s202,s5]) ).

cnf(s211,plain,
    spl105_40,
    inference(rat,[],[s67,s37,s41,s209]) ).

cnf(s212,plain,
    spl105_26,
    inference(rat,[],[s174,s194,s211]) ).

cnf(s213,plain,
    ~ spl105_6,
    inference(rat,[],[s182,s212]) ).

cnf(s214,plain,
    $false,
    inference(rat,[],[s3,s213,s15,s5]) ).

fof(f7749,plain,
    $false,
    inference(avatar_sat_refutation,[],[s214]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : LAT296+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.45  % Computer : n010.cluster.edu
% 0.21/0.45  % Model    : x86_64 x86_64
% 0.21/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.45  % Memory   : 8046.5625MB
% 0.21/0.45  % OS       : Linux 6.8.0-71-generic
% 0.21/0.45  % CPULimit : 300
% 0.21/0.45  % WCLimit  : 300
% 0.21/0.45  % DateTime : Sun Sep 27 14:20:47 UTC 2026
% 0.21/0.46  % CPUTime  : 
% 0.21/0.46  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.50  Running first-order theorem proving
% 0.25/0.50  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.86/3.25  % (1010006)Detected formulas, will run a generic FOF schedule.
% 14.86/3.25  % (1010011)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=1477756734:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 14.86/3.25  % (1010016)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1014995076:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 14.86/3.25  % (1010013)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=3757409328:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 14.86/3.25  % (1010012)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=1367818658:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 14.86/3.25  % (1010015)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3588044640:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 14.86/3.25  % (1010014)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1598093075:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 14.86/3.25  % (1010017)dis-21_1_sil=8000:lcm=predicate:random_seed=2353997731:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 14.86/3.25  % (1010014)Refutation not found, incomplete strategy
% 14.86/3.25  % (1010014)------------------------------
% 14.86/3.25  % (1010014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.86/3.25  % (1010014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.86/3.25  % (1010014)CaDiCaL version: 2.1.3
% 14.86/3.25  % (1010014)Termination reason: Refutation not found, incomplete strategy
% 14.86/3.25  % (1010014)Time elapsed: 0.021 s
% 14.86/3.25  % (1010014)Peak memory usage: 91 MB
% 14.86/3.25  % (1010014)Instructions burned: 17 (million)
% 14.86/3.25  % (1010015)Instruction limit reached! 
% 14.86/3.25  % (1010015)------------------------------
% 14.86/3.25  % (1010015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.86/3.25  % (1010015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.86/3.25  % (1010015)CaDiCaL version: 2.1.3
% 14.86/3.25  % (1010015)Termination reason: Instruction limit
% 14.86/3.25  % (1010015)Termination phase: Saturation
% 14.86/3.25  % (1010015)Time elapsed: 0.125 s
% 14.86/3.25  % (1010015)Peak memory usage: 91 MB
% 14.86/3.25  % (1010015)Instructions burned: 120 (million)
% 14.86/3.25  % (1010016)Instruction limit reached! 
% 14.86/3.25  % (1010016)------------------------------
% 14.86/3.25  % (1010016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.86/3.25  % (1010016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.86/3.25  % (1010016)CaDiCaL version: 2.1.3
% 14.86/3.25  % (1010016)Termination reason: Instruction limit
% 14.86/3.25  % (1010016)Termination phase: Property scanning
% 14.86/3.25  % (1010016)Time elapsed: 0.145 s
% 14.86/3.25  % (1010016)Peak memory usage: 94 MB
% 14.86/3.25  % (1010016)Instructions burned: 140 (million)
% 14.86/3.25  % (1010017)Instruction limit reached! 
% 14.86/3.25  % (1010017)------------------------------
% 14.86/3.25  % (1010017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.86/3.25  % (1010017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.86/3.25  % (1010017)CaDiCaL version: 2.1.3
% 14.86/3.25  % (1010017)Termination reason: Instruction limit
% 14.86/3.25  % (1010017)Termination phase: Function definition elimination
% 14.86/3.25  % (1010017)Time elapsed: 0.131 s
% 14.86/3.25  % (1010017)Peak memory usage: 93 MB
% 14.86/3.25  % (1010017)Instructions burned: 129 (million)
% 14.86/3.25  % (1010027)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1035485853:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 14.86/3.25  % (1010025)lrs+10_1_sil=8000:sp=occurrence:random_seed=1818945903:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 14.86/3.25  % (1010014)------------------------------
% 14.86/3.25  % (1010014)------------------------------
% 14.86/3.25  % (1010026)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3754024518:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/157Mi)
% 14.86/3.25  % (1010026)Refutation not found, incomplete strategy
% 14.86/3.25  % (1010026)------------------------------
% 14.86/3.25  % (1010026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.86/3.25  % (1010026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.86/3.25  % (1010026)CaDiCaL version: 2.1.3
% 14.86/3.25  % (1010026)Termination reason: Refutation not found, incomplete strategy
% 14.86/3.25  % (1010026)Time elapsed: 0.147 s
% 14.86/3.25  % (1010026)Peak memory usage: 93 MB
% 14.86/3.25  % (1010026)Instructions burned: 150 (million)
% 14.86/3.25  % (1010027)Instruction limit reached! 
% 14.86/3.25  % (1010027)------------------------------
% 14.86/3.25  % (1010027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.86/3.25  % (1010027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.86/3.25  % (1010027)CaDiCaL version: 2.1.3
% 14.86/3.25  % (1010027)Termination reason: Instruction limit
% 14.86/3.25  % (1010027)Termination phase: Saturation
% 14.86/3.25  % (1010027)Time elapsed: 0.304 s
% 14.86/3.25  % (1010027)Peak memory usage: 95 MB
% 14.86/3.25  % (1010027)Instructions burned: 326 (million)
% 14.86/3.25  % (1010025)Instruction limit reached! 
% 14.86/3.25  % (1010025)------------------------------
% 14.86/3.25  % (1010025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.86/3.25  % (1010025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.86/3.25  % (1010025)CaDiCaL version: 2.1.3
% 14.86/3.25  % (1010025)Termination reason: Instruction limit
% 14.86/3.25  % (1010025)Termination phase: Saturation
% 14.86/3.25  % (1010025)Time elapsed: 0.297 s
% 14.86/3.25  % (1010025)Peak memory usage: 95 MB
% 14.86/3.25  % (1010025)Instructions burned: 285 (million)
% 14.86/3.25  % (1010031)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=601162004:s2a=on:i=248:s2at=1.23:gtg=position_2991 on theBenchmark for (2991ds/248Mi)
% 14.86/3.25  % (1010031)Instruction limit reached! 
% 14.86/3.25  % (1010031)------------------------------
% 14.86/3.25  % (1010031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.86/3.25  % (1010031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.86/3.25  % (1010031)CaDiCaL version: 2.1.3
% 14.86/3.25  % (1010031)Termination reason: Instruction limit
% 14.86/3.25  % (1010031)Termination phase: Saturation
% 14.86/3.25  % (1010031)Time elapsed: 0.135 s
% 14.86/3.25  % (1010031)Peak memory usage: 97 MB
% 14.86/3.25  % (1010031)Instructions burned: 248 (million)
% 14.86/3.25  % (1010032)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3947257704:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2989 on theBenchmark for (2989ds/294Mi)
% 14.86/3.25  % (1010034)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2810047562:i=2350_2989 on theBenchmark for (2989ds/2350Mi)
% 14.86/3.25  % (1010026)------------------------------
% 14.86/3.25  % (1010026)------------------------------
% 14.86/3.25  % (1010035)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3184669661:cts=off:i=113:fsr=off:ss=included:sgt=4_2987 on theBenchmark for (2987ds/113Mi)
% 14.86/3.25  % (1010032)Instruction limit reached! 
% 14.86/3.25  % (1010032)------------------------------
% 14.86/3.25  % (1010032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.86/3.25  % (1010032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.86/3.25  % (1010032)CaDiCaL version: 2.1.3
% 14.86/3.25  % (1010032)Termination reason: Instruction limit
% 14.86/3.25  % (1010032)Termination phase: Saturation
% 14.86/3.25  % (1010032)Time elapsed: 0.149 s
% 14.86/3.25  % (1010032)Peak memory usage: 95 MB
% 14.86/3.25  % (1010032)Instructions burned: 296 (million)
% 14.86/3.25  % (1010035)Instruction limit reached! 
% 14.86/3.25  % (1010035)------------------------------
% 14.86/3.25  % (1010035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.86/3.25  % (1010035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.86/3.25  % (1010035)CaDiCaL version: 2.1.3
% 14.86/3.25  % (1010035)Termination reason: Instruction limit
% 14.86/3.25  % (1010035)Termination phase: Saturation
% 14.86/3.25  % (1010035)Time elapsed: 0.112 s
% 14.86/3.25  % (1010035)Peak memory usage: 93 MB
% 14.86/3.25  % (1010035)Instructions burned: 113 (million)
% 14.86/3.25  % (1010038)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=288534927:i=127:av=off:fsr=off:sup=off_2985 on theBenchmark for (2985ds/127Mi)
% 14.86/3.25  % (1010040)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2938347330:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 14.86/3.25  % (1010038)Instruction limit reached! 
% 14.86/3.25  % (1010038)------------------------------
% 14.86/3.25  % (1010038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.86/3.25  % (1010038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.86/3.25  % (1010038)CaDiCaL version: 2.1.3
% 14.86/3.25  % (1010038)Termination reason: Instruction limit
% 14.86/3.25  % (1010038)Termination phase: Property scanning
% 14.86/3.25  % (1010038)Time elapsed: 0.073 s
% 14.86/3.25  % (1010038)Peak memory usage: 94 MB
% 14.86/3.25  % (1010038)Instructions burned: 128 (million)
% 14.86/3.25  % (1010040)Instruction limit reached! 
% 14.86/3.25  % (1010040)------------------------------
% 14.86/3.25  % (1010040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.86/3.25  % (1010040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.86/3.25  % (1010040)CaDiCaL version: 2.1.3
% 14.86/3.25  % (1010040)Termination reason: Instruction limit
% 14.86/3.25  % (1010040)Termination phase: Property scanning
% 14.86/3.25  % (1010040)Time elapsed: 0.108 s
% 14.86/3.25  % (1010040)Peak memory usage: 90 MB
% 14.86/3.25  % (1010040)Instructions burned: 115 (million)
% 14.86/3.25  % (1010041)lrs+10_1_sil=8000:sp=occurrence:random_seed=4066482697:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 14.86/3.25  % (1010044)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4085694151:i=437:sd=1:aac=none:ss=included_2982 on theBenchmark for (2982ds/437Mi)
% 14.86/3.25  % (1010044)First to succeed.
% 14.86/3.25  % (1010044)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1010006"
% 14.86/3.25  % (1010045)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=980601380:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 14.86/3.25  % (1010044)Refutation found. Thanks to Tanya!
% 14.86/3.25  % SZS status Theorem for theBenchmark
% 14.86/3.25  % SZS output start Proof for theBenchmark
% See solution above
% 15.21/3.38  % (1010044)------------------------------
% 15.21/3.38  % (1010044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.21/3.38  % (1010044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/3.38  % (1010044)CaDiCaL version: 2.1.3
% 15.21/3.38  % (1010044)Termination reason: Refutation
% 15.21/3.38  % (1010044)Time elapsed: 0.091 s
% 15.21/3.38  % (1010044)Peak memory usage: 95 MB
% 15.21/3.38  % (1010044)Instructions burned: 204 (million)
% 15.21/3.38  % (1010044)------------------------------
% 15.21/3.38  % (1010044)------------------------------
% 15.21/3.38  % (1010006)Success in time 2.205 s
% 15.21/3.38  % Vampire exiting
%------------------------------------------------------------------------------