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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LAT296+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n001.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 9.10s 3.14s
% Output   : Refutation 12.41s
% 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(f6660,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(f6729,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(f6759,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(f9363,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(f9391,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(f9440,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(f9463,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(f13581,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(f13582,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(f13586,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(f13587,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(f13588,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)],[f13587]) ).

fof(f13610,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,[],[f9363]) ).

fof(f13760,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,[],[f13581]) ).

fof(f13761,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,[],[f13760]) ).

fof(f13762,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,[],[f13582]) ).

fof(f13763,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,[],[f13762]) ).

fof(f13770,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,[],[f13586]) ).

fof(f13771,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,[],[f13770]) ).

fof(f13772,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,[],[f13588]) ).

fof(f13773,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,[],[f13772]) ).

fof(f13850,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,[],[f9440]) ).

fof(f13851,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,[],[f13850]) ).

fof(f13876,plain,
    ! [X0] :
      ( ( v3_lattices(k1_lattice2(X0))
        & l3_lattices(k1_lattice2(X0)) )
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f9463]) ).

fof(f13891,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,[],[f9391]) ).

fof(f13892,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,[],[f13891]) ).

fof(f13894,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,[],[f13610]) ).

fof(f13895,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,[],[f13894]) ).

fof(f14046,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,[],[f6660]) ).

fof(f14047,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,[],[f14046]) ).

fof(f14050,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,[],[f6729]) ).

fof(f14051,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,[],[f14050]) ).

fof(f14064,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,[],[f6759]) ).

fof(f14065,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,[],[f14064]) ).

fof(f14095,plain,
    ( k7_lattices(sK7,sK9) != k7_lattices(sK8,sK10)
    & sK9 = sK10
    & m1_subset_1(sK10,u1_struct_0(sK8))
    & m1_subset_1(sK9,u1_struct_0(sK7))
    & g3_lattices(u1_struct_0(sK7),u2_lattices(sK7),u1_lattices(sK7)) = g3_lattices(u1_struct_0(sK8),u2_lattices(sK8),u1_lattices(sK8))
    & ~ v3_struct_0(sK8)
    & v10_lattices(sK8)
    & v17_lattices(sK8)
    & l3_lattices(sK8)
    & ~ v3_struct_0(sK7)
    & v10_lattices(sK7)
    & v17_lattices(sK7)
    & l3_lattices(sK7) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10]),skolemize(X0,sK7),skolemize(X1,sK8),skolemize(X2,sK9),skolemize(X3,sK10)],[f13773]) ).

fof(f14122,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,[],[f13851]) ).

fof(f14123,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,[],[f14122]) ).

fof(f14185,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,[],[f14051]) ).

fof(f14252,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,[],[f13761]) ).

fof(f14253,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,[],[f13763]) ).

fof(f14260,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,[],[f13771]) ).

fof(f14261,plain,
    l3_lattices(sK7),
    inference(cnf_transformation,[],[f14095]) ).

fof(f14262,plain,
    v17_lattices(sK7),
    inference(cnf_transformation,[],[f14095]) ).

fof(f14263,plain,
    v10_lattices(sK7),
    inference(cnf_transformation,[],[f14095]) ).

fof(f14264,plain,
    ~ v3_struct_0(sK7),
    inference(cnf_transformation,[],[f14095]) ).

fof(f14265,plain,
    l3_lattices(sK8),
    inference(cnf_transformation,[],[f14095]) ).

fof(f14266,plain,
    v17_lattices(sK8),
    inference(cnf_transformation,[],[f14095]) ).

fof(f14267,plain,
    v10_lattices(sK8),
    inference(cnf_transformation,[],[f14095]) ).

fof(f14268,plain,
    ~ v3_struct_0(sK8),
    inference(cnf_transformation,[],[f14095]) ).

fof(f14269,plain,
    g3_lattices(u1_struct_0(sK7),u2_lattices(sK7),u1_lattices(sK7)) = g3_lattices(u1_struct_0(sK8),u2_lattices(sK8),u1_lattices(sK8)),
    inference(cnf_transformation,[],[f14095]) ).

fof(f14270,plain,
    m1_subset_1(sK9,u1_struct_0(sK7)),
    inference(cnf_transformation,[],[f14095]) ).

fof(f14271,plain,
    m1_subset_1(sK10,u1_struct_0(sK8)),
    inference(cnf_transformation,[],[f14095]) ).

fof(f14272,plain,
    sK9 = sK10,
    inference(cnf_transformation,[],[f14095]) ).

fof(f14273,plain,
    k7_lattices(sK7,sK9) != k7_lattices(sK8,sK10),
    inference(cnf_transformation,[],[f14095]) ).

fof(f14351,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,[],[f14123]) ).

fof(f14355,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,[],[f14123]) ).

fof(f14379,plain,
    ! [X0] :
      ( l3_lattices(k1_lattice2(X0))
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f13876]) ).

fof(f14394,plain,
    ! [X0] :
      ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
      | v3_struct_0(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f13892]) ).

fof(f14396,plain,
    ! [X0] :
      ( v10_lattices(k1_lattice2(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f13895]) ).

fof(f14403,plain,
    ! [X0] :
      ( ~ v3_struct_0(k1_lattice2(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f13895]) ).

fof(f14641,plain,
    ! [X0] :
      ( v16_lattices(X0)
      | v3_struct_0(X0)
      | ~ v17_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f14047]) ).

fof(f14642,plain,
    ! [X0] :
      ( v15_lattices(X0)
      | v3_struct_0(X0)
      | ~ v17_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f14047]) ).

fof(f14645,plain,
    ! [X0] :
      ( v11_lattices(X0)
      | v3_struct_0(X0)
      | ~ v17_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f14047]) ).

fof(f14663,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,[],[f14185]) ).

fof(f14664,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,[],[f14185]) ).

fof(f14680,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,[],[f14065]) ).

fof(f14698,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,[],[f14260]) ).

fof(f14699,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,[],[f14698]) ).

fof(f14721,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,[],[f14663]) ).

fof(f14730,plain,
    ! [X0] :
      ( v11_lattices(k1_lattice2(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v11_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(duplicate_literal_removal,[],[f14351]) ).

fof(f14740,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,[],[f14664]) ).

fof(f14741,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,[],[f14721]) ).

fof(f14752,plain,
    m1_subset_1(sK9,u1_struct_0(sK8)),
    inference(forward_demodulation,[],[f14271,f14272]) ).

fof(f14758,plain,
    k7_lattices(sK7,sK9) != k7_lattices(sK8,sK9),
    inference(forward_demodulation,[],[f14273,f14272]) ).

fof(f14759,plain,
    ! [X0] :
      ( k7_lattices(sK7,sK9) != X0
      | ~ r2_lattices(sK8,X0,sK9)
      | ~ m1_subset_1(X0,u1_struct_0(sK8))
      | v3_struct_0(sK8)
      | ~ v10_lattices(sK8)
      | ~ v11_lattices(sK8)
      | ~ v16_lattices(sK8)
      | ~ l3_lattices(sK8)
      | ~ m1_subset_1(sK9,u1_struct_0(sK8)) ),
    inference(superposition,[],[f14758,f14740]) ).

fof(f14760,plain,
    ! [X0] :
      ( k7_lattices(sK7,sK9) != X0
      | ~ r2_lattices(sK8,X0,sK9)
      | ~ m1_subset_1(X0,u1_struct_0(sK8))
      | ~ v10_lattices(sK8)
      | ~ v11_lattices(sK8)
      | ~ v16_lattices(sK8)
      | ~ l3_lattices(sK8)
      | ~ m1_subset_1(sK9,u1_struct_0(sK8)) ),
    inference(forward_subsumption_resolution,[],[f14759,f14268]) ).

fof(f14761,plain,
    ! [X0] :
      ( k7_lattices(sK7,sK9) != X0
      | ~ r2_lattices(sK8,X0,sK9)
      | ~ m1_subset_1(X0,u1_struct_0(sK8))
      | ~ v11_lattices(sK8)
      | ~ v16_lattices(sK8)
      | ~ l3_lattices(sK8)
      | ~ m1_subset_1(sK9,u1_struct_0(sK8)) ),
    inference(forward_subsumption_resolution,[],[f14760,f14267]) ).

fof(f14762,plain,
    ! [X0] :
      ( k7_lattices(sK7,sK9) != X0
      | ~ r2_lattices(sK8,X0,sK9)
      | ~ m1_subset_1(X0,u1_struct_0(sK8))
      | ~ v11_lattices(sK8)
      | ~ v16_lattices(sK8)
      | ~ m1_subset_1(sK9,u1_struct_0(sK8)) ),
    inference(forward_subsumption_resolution,[],[f14761,f14265]) ).

fof(f14763,plain,
    ! [X0] :
      ( k7_lattices(sK7,sK9) != X0
      | ~ r2_lattices(sK8,X0,sK9)
      | ~ m1_subset_1(X0,u1_struct_0(sK8))
      | ~ v11_lattices(sK8)
      | ~ v16_lattices(sK8) ),
    inference(forward_subsumption_resolution,[],[f14762,f14752]) ).

fof(f14765,definition,
    ( spl62_4
  <=> v16_lattices(sK8) ),
    introduced(definition,[new_symbols(definition,[spl62_4])],[avatar_definition]) ).

fof(f14766,plain,
    ( ~ v16_lattices(sK8)
    | spl62_4 ),
    inference(avatar_component_clause,[],[f14765]) ).

fof(f14768,definition,
    ( spl62_5
  <=> v11_lattices(sK8) ),
    introduced(definition,[new_symbols(definition,[spl62_5])],[avatar_definition]) ).

fof(f14769,plain,
    ( ~ v11_lattices(sK8)
    | spl62_5 ),
    inference(avatar_component_clause,[],[f14768]) ).

fof(f14771,definition,
    ( spl62_6
  <=> ! [X0] :
        ( k7_lattices(sK7,sK9) != X0
        | ~ m1_subset_1(X0,u1_struct_0(sK8))
        | ~ r2_lattices(sK8,X0,sK9) ) ),
    introduced(definition,[new_symbols(definition,[spl62_6])],[avatar_definition]) ).

fof(f14772,plain,
    ( ! [X0] :
        ( k7_lattices(sK7,sK9) != X0
        | ~ m1_subset_1(X0,u1_struct_0(sK8))
        | ~ r2_lattices(sK8,X0,sK9) )
    | ~ spl62_6 ),
    inference(avatar_component_clause,[],[f14771]) ).

fof(f14773,plain,
    ( ~ spl62_4
    | ~ spl62_5
    | spl62_6 ),
    inference(avatar_split_clause,[],[f14763,f14771,f14768,f14765]) ).

fof(f14774,plain,
    ( v3_struct_0(sK8)
    | ~ v17_lattices(sK8)
    | ~ l3_lattices(sK8)
    | spl62_4 ),
    inference(resolution,[],[f14766,f14641]) ).

fof(f14777,plain,
    ( ~ v17_lattices(sK8)
    | ~ l3_lattices(sK8)
    | spl62_4 ),
    inference(forward_subsumption_resolution,[],[f14774,f14268]) ).

fof(f14779,plain,
    ( ~ l3_lattices(sK8)
    | spl62_4 ),
    inference(forward_subsumption_resolution,[],[f14777,f14266]) ).

fof(f14782,plain,
    ( $false
    | spl62_4 ),
    inference(forward_subsumption_resolution,[],[f14779,f14265]) ).

fof(f14783,plain,
    spl62_4,
    inference(avatar_contradiction_clause,[],[f14782]) ).

fof(f14787,plain,
    ! [X0] :
      ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK7),u2_lattices(sK7),u1_lattices(sK7))
      | k1_lattice2(X0) = k1_lattice2(sK8)
      | ~ l3_lattices(sK8)
      | ~ l3_lattices(X0) ),
    inference(superposition,[],[f14252,f14269]) ).

fof(f14788,plain,
    ( g3_lattices(u1_struct_0(sK7),u2_lattices(sK7),u1_lattices(sK7)) = k1_lattice2(k1_lattice2(sK8))
    | v3_struct_0(sK8)
    | ~ v10_lattices(sK8)
    | ~ l3_lattices(sK8) ),
    inference(superposition,[],[f14253,f14269]) ).

fof(f14803,plain,
    ! [X2,X0,X1] :
      ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK7),u2_lattices(sK7),u1_lattices(sK7))
      | ~ r2_lattices(X0,X1,X2)
      | ~ m1_subset_1(X2,u1_struct_0(sK8))
      | ~ m1_subset_1(X1,u1_struct_0(sK8))
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | r2_lattices(sK8,X1,X2)
      | v3_struct_0(sK8)
      | ~ v10_lattices(sK8)
      | ~ v15_lattices(sK8)
      | ~ v16_lattices(sK8)
      | ~ l3_lattices(sK8)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v15_lattices(X0)
      | ~ v16_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(superposition,[],[f14699,f14269]) ).

fof(f14820,plain,
    ! [X2,X0,X1] :
      ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK7),u2_lattices(sK7),u1_lattices(sK7))
      | ~ r2_lattices(X0,X1,X2)
      | ~ m1_subset_1(X2,u1_struct_0(sK8))
      | ~ m1_subset_1(X1,u1_struct_0(sK8))
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | r2_lattices(sK8,X1,X2)
      | ~ v10_lattices(sK8)
      | ~ v15_lattices(sK8)
      | ~ v16_lattices(sK8)
      | ~ l3_lattices(sK8)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v15_lattices(X0)
      | ~ v16_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(forward_subsumption_resolution,[],[f14803,f14268]) ).

fof(f14835,plain,
    ( g3_lattices(u1_struct_0(sK7),u2_lattices(sK7),u1_lattices(sK7)) = k1_lattice2(k1_lattice2(sK8))
    | ~ v10_lattices(sK8)
    | ~ l3_lattices(sK8) ),
    inference(forward_subsumption_resolution,[],[f14788,f14268]) ).

fof(f14836,plain,
    ! [X0] :
      ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK7),u2_lattices(sK7),u1_lattices(sK7))
      | k1_lattice2(X0) = k1_lattice2(sK8)
      | ~ l3_lattices(X0) ),
    inference(forward_subsumption_resolution,[],[f14787,f14265]) ).

fof(f14848,plain,
    ! [X2,X0,X1] :
      ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK7),u2_lattices(sK7),u1_lattices(sK7))
      | ~ r2_lattices(X0,X1,X2)
      | ~ m1_subset_1(X2,u1_struct_0(sK8))
      | ~ m1_subset_1(X1,u1_struct_0(sK8))
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | r2_lattices(sK8,X1,X2)
      | ~ v15_lattices(sK8)
      | ~ v16_lattices(sK8)
      | ~ l3_lattices(sK8)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v15_lattices(X0)
      | ~ v16_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(forward_subsumption_resolution,[],[f14820,f14267]) ).

fof(f14869,plain,
    ( g3_lattices(u1_struct_0(sK7),u2_lattices(sK7),u1_lattices(sK7)) = k1_lattice2(k1_lattice2(sK8))
    | ~ l3_lattices(sK8) ),
    inference(forward_subsumption_resolution,[],[f14835,f14267]) ).

fof(f14872,plain,
    ! [X2,X0,X1] :
      ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK7),u2_lattices(sK7),u1_lattices(sK7))
      | ~ r2_lattices(X0,X1,X2)
      | ~ m1_subset_1(X2,u1_struct_0(sK8))
      | ~ m1_subset_1(X1,u1_struct_0(sK8))
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | r2_lattices(sK8,X1,X2)
      | ~ v15_lattices(sK8)
      | ~ v16_lattices(sK8)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v15_lattices(X0)
      | ~ v16_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(forward_subsumption_resolution,[],[f14848,f14265]) ).

fof(f14878,plain,
    g3_lattices(u1_struct_0(sK7),u2_lattices(sK7),u1_lattices(sK7)) = k1_lattice2(k1_lattice2(sK8)),
    inference(forward_subsumption_resolution,[],[f14869,f14265]) ).

fof(f14881,definition,
    ( spl62_9
  <=> v15_lattices(sK8) ),
    introduced(definition,[new_symbols(definition,[spl62_9])],[avatar_definition]) ).

fof(f14882,plain,
    ( ~ v15_lattices(sK8)
    | spl62_9 ),
    inference(avatar_component_clause,[],[f14881]) ).

fof(f14884,definition,
    ( spl62_10
  <=> ! [X2,X0,X1] :
        ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK7),u2_lattices(sK7),u1_lattices(sK7))
        | ~ l3_lattices(X0)
        | ~ v16_lattices(X0)
        | ~ v15_lattices(X0)
        | ~ v10_lattices(X0)
        | v3_struct_0(X0)
        | r2_lattices(sK8,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(sK8))
        | ~ m1_subset_1(X2,u1_struct_0(sK8))
        | ~ r2_lattices(X0,X1,X2) ) ),
    introduced(definition,[new_symbols(definition,[spl62_10])],[avatar_definition]) ).

fof(f14885,plain,
    ( ! [X2,X0,X1] :
        ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK7),u2_lattices(sK7),u1_lattices(sK7))
        | ~ l3_lattices(X0)
        | ~ v16_lattices(X0)
        | ~ v15_lattices(X0)
        | ~ v10_lattices(X0)
        | v3_struct_0(X0)
        | r2_lattices(sK8,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(sK8))
        | ~ m1_subset_1(X2,u1_struct_0(sK8))
        | ~ r2_lattices(X0,X1,X2) )
    | ~ spl62_10 ),
    inference(avatar_component_clause,[],[f14884]) ).

fof(f14886,plain,
    ( ~ spl62_4
    | ~ spl62_9
    | spl62_10 ),
    inference(avatar_split_clause,[],[f14872,f14884,f14881,f14765]) ).

fof(f14907,plain,
    ( v3_struct_0(sK8)
    | ~ v17_lattices(sK8)
    | ~ l3_lattices(sK8)
    | spl62_5 ),
    inference(resolution,[],[f14769,f14645]) ).

fof(f14912,plain,
    ( ~ v17_lattices(sK8)
    | ~ l3_lattices(sK8)
    | spl62_5 ),
    inference(forward_subsumption_resolution,[],[f14907,f14268]) ).

fof(f14915,plain,
    ( ~ l3_lattices(sK8)
    | spl62_5 ),
    inference(forward_subsumption_resolution,[],[f14912,f14266]) ).

fof(f14919,plain,
    ( $false
    | spl62_5 ),
    inference(forward_subsumption_resolution,[],[f14915,f14265]) ).

fof(f14920,plain,
    spl62_5,
    inference(avatar_contradiction_clause,[],[f14919]) ).

fof(f14921,plain,
    ( v3_struct_0(sK8)
    | ~ v17_lattices(sK8)
    | ~ l3_lattices(sK8)
    | spl62_9 ),
    inference(resolution,[],[f14882,f14642]) ).

fof(f14929,plain,
    ( ~ v17_lattices(sK8)
    | ~ l3_lattices(sK8)
    | spl62_9 ),
    inference(forward_subsumption_resolution,[],[f14921,f14268]) ).

fof(f14933,plain,
    ( ~ l3_lattices(sK8)
    | spl62_9 ),
    inference(forward_subsumption_resolution,[],[f14929,f14266]) ).

fof(f14938,plain,
    ( $false
    | spl62_9 ),
    inference(forward_subsumption_resolution,[],[f14933,f14265]) ).

fof(f14939,plain,
    spl62_9,
    inference(avatar_contradiction_clause,[],[f14938]) ).

fof(f15063,definition,
    ( spl62_18
  <=> v16_lattices(sK7) ),
    introduced(definition,[new_symbols(definition,[spl62_18])],[avatar_definition]) ).

fof(f15064,plain,
    ( ~ v16_lattices(sK7)
    | spl62_18 ),
    inference(avatar_component_clause,[],[f15063]) ).

fof(f15066,definition,
    ( spl62_19
  <=> v15_lattices(sK7) ),
    introduced(definition,[new_symbols(definition,[spl62_19])],[avatar_definition]) ).

fof(f15067,plain,
    ( ~ v15_lattices(sK7)
    | spl62_19 ),
    inference(avatar_component_clause,[],[f15066]) ).

fof(f15092,plain,
    ( v3_struct_0(sK7)
    | ~ v17_lattices(sK7)
    | ~ l3_lattices(sK7)
    | spl62_19 ),
    inference(resolution,[],[f15067,f14642]) ).

fof(f15100,plain,
    ( ~ v17_lattices(sK7)
    | ~ l3_lattices(sK7)
    | spl62_19 ),
    inference(forward_subsumption_resolution,[],[f15092,f14264]) ).

fof(f15104,plain,
    ( ~ l3_lattices(sK7)
    | spl62_19 ),
    inference(forward_subsumption_resolution,[],[f15100,f14262]) ).

fof(f15109,plain,
    ( $false
    | spl62_19 ),
    inference(forward_subsumption_resolution,[],[f15104,f14261]) ).

fof(f15110,plain,
    spl62_19,
    inference(avatar_contradiction_clause,[],[f15109]) ).

fof(f15112,plain,
    ( ~ m1_subset_1(k7_lattices(sK7,sK9),u1_struct_0(sK8))
    | ~ r2_lattices(sK8,k7_lattices(sK7,sK9),sK9)
    | ~ spl62_6 ),
    inference(equality_resolution,[],[f14772]) ).

fof(f15114,definition,
    ( spl62_26
  <=> r2_lattices(sK8,k7_lattices(sK7,sK9),sK9) ),
    introduced(definition,[new_symbols(definition,[spl62_26])],[avatar_definition]) ).

fof(f15115,plain,
    ( ~ r2_lattices(sK8,k7_lattices(sK7,sK9),sK9)
    | spl62_26 ),
    inference(avatar_component_clause,[],[f15114]) ).

fof(f15117,definition,
    ( spl62_27
  <=> m1_subset_1(k7_lattices(sK7,sK9),u1_struct_0(sK8)) ),
    introduced(definition,[new_symbols(definition,[spl62_27])],[avatar_definition]) ).

fof(f15118,plain,
    ( ~ m1_subset_1(k7_lattices(sK7,sK9),u1_struct_0(sK8))
    | spl62_27 ),
    inference(avatar_component_clause,[],[f15117]) ).

fof(f15119,plain,
    ( ~ spl62_26
    | ~ spl62_27
    | ~ spl62_6 ),
    inference(avatar_split_clause,[],[f15112,f14771,f15117,f15114]) ).

fof(f15131,plain,
    ( v3_struct_0(sK7)
    | ~ v17_lattices(sK7)
    | ~ l3_lattices(sK7)
    | spl62_18 ),
    inference(resolution,[],[f15064,f14641]) ).

fof(f15134,plain,
    ( ~ v17_lattices(sK7)
    | ~ l3_lattices(sK7)
    | spl62_18 ),
    inference(forward_subsumption_resolution,[],[f15131,f14264]) ).

fof(f15136,plain,
    ( ~ l3_lattices(sK7)
    | spl62_18 ),
    inference(forward_subsumption_resolution,[],[f15134,f14262]) ).

fof(f15139,plain,
    ( $false
    | spl62_18 ),
    inference(forward_subsumption_resolution,[],[f15136,f14261]) ).

fof(f15140,plain,
    spl62_18,
    inference(avatar_contradiction_clause,[],[f15139]) ).

fof(f15141,plain,
    ! [X0] :
      ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != k1_lattice2(k1_lattice2(sK8))
      | k1_lattice2(X0) = k1_lattice2(sK8)
      | ~ l3_lattices(X0) ),
    inference(forward_demodulation,[],[f14836,f14878]) ).

fof(f15160,plain,
    ( k1_lattice2(k1_lattice2(sK8)) != k1_lattice2(k1_lattice2(sK8))
    | k1_lattice2(sK8) = k1_lattice2(sK7)
    | ~ l3_lattices(sK7) ),
    inference(superposition,[],[f15141,f14878]) ).

fof(f15161,plain,
    ( k1_lattice2(sK8) = k1_lattice2(sK7)
    | ~ l3_lattices(sK7) ),
    inference(trivial_inequality_removal,[],[f15160]) ).

fof(f15164,plain,
    k1_lattice2(sK8) = k1_lattice2(sK7),
    inference(forward_subsumption_resolution,[],[f15161,f14261]) ).

fof(f15217,plain,
    ( u1_struct_0(sK8) = u1_struct_0(k1_lattice2(sK7))
    | v3_struct_0(sK8)
    | ~ l3_lattices(sK8) ),
    inference(superposition,[],[f14394,f15164]) ).

fof(f15225,plain,
    ( ~ v3_struct_0(k1_lattice2(sK7))
    | v3_struct_0(sK8)
    | ~ v10_lattices(sK8)
    | ~ l3_lattices(sK8) ),
    inference(superposition,[],[f14403,f15164]) ).

fof(f15236,plain,
    ( v11_lattices(k1_lattice2(sK7))
    | v3_struct_0(sK8)
    | ~ v10_lattices(sK8)
    | ~ v11_lattices(sK8)
    | ~ l3_lattices(sK8) ),
    inference(superposition,[],[f14730,f15164]) ).

fof(f15239,plain,
    ( v11_lattices(k1_lattice2(sK7))
    | ~ v10_lattices(sK8)
    | ~ v11_lattices(sK8)
    | ~ l3_lattices(sK8) ),
    inference(forward_subsumption_resolution,[],[f15236,f14268]) ).

fof(f15250,plain,
    ( ~ v3_struct_0(k1_lattice2(sK7))
    | ~ v10_lattices(sK8)
    | ~ l3_lattices(sK8) ),
    inference(forward_subsumption_resolution,[],[f15225,f14268]) ).

fof(f15258,plain,
    ( u1_struct_0(sK8) = u1_struct_0(k1_lattice2(sK7))
    | ~ l3_lattices(sK8) ),
    inference(forward_subsumption_resolution,[],[f15217,f14268]) ).

fof(f15279,plain,
    ( v11_lattices(k1_lattice2(sK7))
    | ~ v11_lattices(sK8)
    | ~ l3_lattices(sK8) ),
    inference(forward_subsumption_resolution,[],[f15239,f14267]) ).

fof(f15290,plain,
    ( ~ v3_struct_0(k1_lattice2(sK7))
    | ~ l3_lattices(sK8) ),
    inference(forward_subsumption_resolution,[],[f15250,f14267]) ).

fof(f15298,plain,
    u1_struct_0(sK8) = u1_struct_0(k1_lattice2(sK7)),
    inference(forward_subsumption_resolution,[],[f15258,f14265]) ).

fof(f15317,plain,
    ( v11_lattices(k1_lattice2(sK7))
    | ~ v11_lattices(sK8) ),
    inference(forward_subsumption_resolution,[],[f15279,f14265]) ).

fof(f15326,plain,
    ~ v3_struct_0(k1_lattice2(sK7)),
    inference(forward_subsumption_resolution,[],[f15290,f14265]) ).

fof(f15354,definition,
    ( spl62_31
  <=> v11_lattices(k1_lattice2(sK7)) ),
    introduced(definition,[new_symbols(definition,[spl62_31])],[avatar_definition]) ).

fof(f15355,plain,
    ( v11_lattices(k1_lattice2(sK7))
    | ~ spl62_31 ),
    inference(avatar_component_clause,[],[f15354]) ).

fof(f15356,plain,
    ( ~ spl62_5
    | spl62_31 ),
    inference(avatar_split_clause,[],[f15317,f15354,f14768]) ).

fof(f15362,definition,
    ( spl62_33
  <=> v3_struct_0(k1_lattice2(sK7)) ),
    introduced(definition,[new_symbols(definition,[spl62_33])],[avatar_definition]) ).

fof(f15363,plain,
    ( ~ v3_struct_0(k1_lattice2(sK7))
    | spl62_33 ),
    inference(avatar_component_clause,[],[f15362]) ).

fof(f15373,plain,
    ~ spl62_33,
    inference(avatar_split_clause,[],[f15326,f15362]) ).

fof(f15535,plain,
    ( v11_lattices(sK7)
    | ~ v10_lattices(k1_lattice2(sK7))
    | ~ v11_lattices(k1_lattice2(sK7))
    | ~ l3_lattices(k1_lattice2(sK7))
    | v3_struct_0(sK7)
    | ~ v10_lattices(sK7)
    | ~ l3_lattices(sK7)
    | spl62_33 ),
    inference(resolution,[],[f15363,f14355]) ).

fof(f15536,plain,
    ( v11_lattices(sK7)
    | ~ v11_lattices(k1_lattice2(sK7))
    | ~ l3_lattices(k1_lattice2(sK7))
    | v3_struct_0(sK7)
    | ~ v10_lattices(sK7)
    | ~ l3_lattices(sK7)
    | spl62_33 ),
    inference(forward_subsumption_resolution,[],[f15535,f14396]) ).

fof(f15537,plain,
    ( v11_lattices(sK7)
    | ~ l3_lattices(k1_lattice2(sK7))
    | v3_struct_0(sK7)
    | ~ v10_lattices(sK7)
    | ~ l3_lattices(sK7)
    | ~ spl62_31
    | spl62_33 ),
    inference(forward_subsumption_resolution,[],[f15536,f15355]) ).

fof(f15538,plain,
    ( v11_lattices(sK7)
    | v3_struct_0(sK7)
    | ~ v10_lattices(sK7)
    | ~ l3_lattices(sK7)
    | ~ spl62_31
    | spl62_33 ),
    inference(forward_subsumption_resolution,[],[f15537,f14379]) ).

fof(f15539,plain,
    ( v11_lattices(sK7)
    | ~ v10_lattices(sK7)
    | ~ l3_lattices(sK7)
    | ~ spl62_31
    | spl62_33 ),
    inference(forward_subsumption_resolution,[],[f15538,f14264]) ).

fof(f15540,plain,
    ( v11_lattices(sK7)
    | ~ l3_lattices(sK7)
    | ~ spl62_31
    | spl62_33 ),
    inference(forward_subsumption_resolution,[],[f15539,f14263]) ).

fof(f15541,plain,
    ( v11_lattices(sK7)
    | ~ spl62_31
    | spl62_33 ),
    inference(forward_subsumption_resolution,[],[f15540,f14261]) ).

fof(f15582,plain,
    ( ! [X2,X0,X1] :
        ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != k1_lattice2(k1_lattice2(sK8))
        | ~ l3_lattices(X0)
        | ~ v16_lattices(X0)
        | ~ v15_lattices(X0)
        | ~ v10_lattices(X0)
        | v3_struct_0(X0)
        | r2_lattices(sK8,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(sK8))
        | ~ m1_subset_1(X2,u1_struct_0(sK8))
        | ~ r2_lattices(X0,X1,X2) )
    | ~ spl62_10 ),
    inference(forward_demodulation,[],[f14885,f14878]) ).

fof(f15583,plain,
    ( ! [X2,X0,X1] :
        ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != k1_lattice2(k1_lattice2(sK7))
        | ~ l3_lattices(X0)
        | ~ v16_lattices(X0)
        | ~ v15_lattices(X0)
        | ~ v10_lattices(X0)
        | v3_struct_0(X0)
        | r2_lattices(sK8,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(sK8))
        | ~ m1_subset_1(X2,u1_struct_0(sK8))
        | ~ r2_lattices(X0,X1,X2) )
    | ~ spl62_10 ),
    inference(forward_demodulation,[],[f15582,f15164]) ).

fof(f15590,plain,
    ( ! [X0,X1] :
        ( k1_lattice2(k1_lattice2(sK8)) != k1_lattice2(k1_lattice2(sK7))
        | ~ l3_lattices(sK7)
        | ~ v16_lattices(sK7)
        | ~ v15_lattices(sK7)
        | ~ v10_lattices(sK7)
        | v3_struct_0(sK7)
        | r2_lattices(sK8,X0,X1)
        | ~ m1_subset_1(X0,u1_struct_0(sK7))
        | ~ m1_subset_1(X1,u1_struct_0(sK7))
        | ~ m1_subset_1(X0,u1_struct_0(sK8))
        | ~ m1_subset_1(X1,u1_struct_0(sK8))
        | ~ r2_lattices(sK7,X0,X1) )
    | ~ spl62_10 ),
    inference(superposition,[],[f15583,f14878]) ).

fof(f15594,plain,
    ( ! [X0,X1] :
        ( k1_lattice2(k1_lattice2(sK8)) != k1_lattice2(k1_lattice2(sK7))
        | ~ v16_lattices(sK7)
        | ~ v15_lattices(sK7)
        | ~ v10_lattices(sK7)
        | v3_struct_0(sK7)
        | r2_lattices(sK8,X0,X1)
        | ~ m1_subset_1(X0,u1_struct_0(sK7))
        | ~ m1_subset_1(X1,u1_struct_0(sK7))
        | ~ m1_subset_1(X0,u1_struct_0(sK8))
        | ~ m1_subset_1(X1,u1_struct_0(sK8))
        | ~ r2_lattices(sK7,X0,X1) )
    | ~ spl62_10 ),
    inference(forward_subsumption_resolution,[],[f15590,f14261]) ).

fof(f15598,plain,
    ( ! [X0,X1] :
        ( k1_lattice2(k1_lattice2(sK8)) != k1_lattice2(k1_lattice2(sK7))
        | ~ v16_lattices(sK7)
        | ~ v15_lattices(sK7)
        | v3_struct_0(sK7)
        | r2_lattices(sK8,X0,X1)
        | ~ m1_subset_1(X0,u1_struct_0(sK7))
        | ~ m1_subset_1(X1,u1_struct_0(sK7))
        | ~ m1_subset_1(X0,u1_struct_0(sK8))
        | ~ m1_subset_1(X1,u1_struct_0(sK8))
        | ~ r2_lattices(sK7,X0,X1) )
    | ~ spl62_10 ),
    inference(forward_subsumption_resolution,[],[f15594,f14263]) ).

fof(f15602,plain,
    ( ! [X0,X1] :
        ( k1_lattice2(k1_lattice2(sK8)) != k1_lattice2(k1_lattice2(sK7))
        | ~ v16_lattices(sK7)
        | ~ v15_lattices(sK7)
        | r2_lattices(sK8,X0,X1)
        | ~ m1_subset_1(X0,u1_struct_0(sK7))
        | ~ m1_subset_1(X1,u1_struct_0(sK7))
        | ~ m1_subset_1(X0,u1_struct_0(sK8))
        | ~ m1_subset_1(X1,u1_struct_0(sK8))
        | ~ r2_lattices(sK7,X0,X1) )
    | ~ spl62_10 ),
    inference(forward_subsumption_resolution,[],[f15598,f14264]) ).

fof(f15603,plain,
    ( ! [X0,X1] :
        ( k1_lattice2(k1_lattice2(sK7)) != k1_lattice2(k1_lattice2(sK7))
        | ~ v16_lattices(sK7)
        | ~ v15_lattices(sK7)
        | r2_lattices(sK8,X0,X1)
        | ~ m1_subset_1(X0,u1_struct_0(sK7))
        | ~ m1_subset_1(X1,u1_struct_0(sK7))
        | ~ m1_subset_1(X0,u1_struct_0(sK8))
        | ~ m1_subset_1(X1,u1_struct_0(sK8))
        | ~ r2_lattices(sK7,X0,X1) )
    | ~ spl62_10 ),
    inference(forward_demodulation,[],[f15602,f15164]) ).

fof(f15604,plain,
    ( ! [X0,X1] :
        ( ~ v16_lattices(sK7)
        | ~ v15_lattices(sK7)
        | r2_lattices(sK8,X0,X1)
        | ~ m1_subset_1(X0,u1_struct_0(sK7))
        | ~ m1_subset_1(X1,u1_struct_0(sK7))
        | ~ m1_subset_1(X0,u1_struct_0(sK8))
        | ~ m1_subset_1(X1,u1_struct_0(sK8))
        | ~ r2_lattices(sK7,X0,X1) )
    | ~ spl62_10 ),
    inference(trivial_inequality_removal,[],[f15603]) ).

fof(f15606,definition,
    ( spl62_42
  <=> ! [X0,X1] :
        ( r2_lattices(sK8,X0,X1)
        | ~ r2_lattices(sK7,X0,X1)
        | ~ m1_subset_1(X1,u1_struct_0(sK8))
        | ~ m1_subset_1(X0,u1_struct_0(sK8))
        | ~ m1_subset_1(X1,u1_struct_0(sK7))
        | ~ m1_subset_1(X0,u1_struct_0(sK7)) ) ),
    introduced(definition,[new_symbols(definition,[spl62_42])],[avatar_definition]) ).

fof(f15607,plain,
    ( ! [X0,X1] :
        ( r2_lattices(sK8,X0,X1)
        | ~ r2_lattices(sK7,X0,X1)
        | ~ m1_subset_1(X1,u1_struct_0(sK8))
        | ~ m1_subset_1(X0,u1_struct_0(sK8))
        | ~ m1_subset_1(X1,u1_struct_0(sK7))
        | ~ m1_subset_1(X0,u1_struct_0(sK7)) )
    | ~ spl62_42 ),
    inference(avatar_component_clause,[],[f15606]) ).

fof(f15608,plain,
    ( spl62_42
    | ~ spl62_19
    | ~ spl62_18
    | ~ spl62_10 ),
    inference(avatar_split_clause,[],[f15604,f14884,f15063,f15066,f15606]) ).

fof(f15734,plain,
    ( u1_struct_0(sK8) = u1_struct_0(sK7)
    | v3_struct_0(sK7)
    | ~ l3_lattices(sK7) ),
    inference(superposition,[],[f14394,f15298]) ).

fof(f15947,plain,
    ( u1_struct_0(sK8) = u1_struct_0(sK7)
    | ~ l3_lattices(sK7) ),
    inference(forward_subsumption_resolution,[],[f15734,f14264]) ).

fof(f16076,plain,
    u1_struct_0(sK8) = u1_struct_0(sK7),
    inference(forward_subsumption_resolution,[],[f15947,f14261]) ).

fof(f17672,plain,
    ( ! [X0,X1] :
        ( ~ m1_subset_1(X1,u1_struct_0(sK7))
        | r2_lattices(sK8,X0,X1)
        | ~ r2_lattices(sK7,X0,X1)
        | ~ m1_subset_1(X0,u1_struct_0(sK8))
        | ~ m1_subset_1(X1,u1_struct_0(sK7))
        | ~ m1_subset_1(X0,u1_struct_0(sK7)) )
    | ~ spl62_42 ),
    inference(forward_demodulation,[],[f15607,f16076]) ).

fof(f17673,plain,
    ( ! [X0,X1] :
        ( ~ m1_subset_1(X1,u1_struct_0(sK7))
        | r2_lattices(sK8,X0,X1)
        | ~ r2_lattices(sK7,X0,X1)
        | ~ m1_subset_1(X0,u1_struct_0(sK8))
        | ~ m1_subset_1(X0,u1_struct_0(sK7)) )
    | ~ spl62_42 ),
    inference(duplicate_literal_removal,[],[f17672]) ).

fof(f17674,plain,
    ( ! [X0,X1] :
        ( ~ m1_subset_1(X0,u1_struct_0(sK7))
        | ~ m1_subset_1(X1,u1_struct_0(sK7))
        | r2_lattices(sK8,X0,X1)
        | ~ r2_lattices(sK7,X0,X1)
        | ~ m1_subset_1(X0,u1_struct_0(sK7)) )
    | ~ spl62_42 ),
    inference(forward_demodulation,[],[f17673,f16076]) ).

fof(f17675,plain,
    ( ! [X0,X1] :
        ( r2_lattices(sK8,X0,X1)
        | ~ m1_subset_1(X1,u1_struct_0(sK7))
        | ~ m1_subset_1(X0,u1_struct_0(sK7))
        | ~ r2_lattices(sK7,X0,X1) )
    | ~ spl62_42 ),
    inference(duplicate_literal_removal,[],[f17674]) ).

fof(f17676,plain,
    ( ~ m1_subset_1(sK9,u1_struct_0(sK7))
    | ~ m1_subset_1(k7_lattices(sK7,sK9),u1_struct_0(sK7))
    | ~ r2_lattices(sK7,k7_lattices(sK7,sK9),sK9)
    | spl62_26
    | ~ spl62_42 ),
    inference(resolution,[],[f17675,f15115]) ).

fof(f17678,plain,
    ( ~ m1_subset_1(k7_lattices(sK7,sK9),u1_struct_0(sK7))
    | ~ r2_lattices(sK7,k7_lattices(sK7,sK9),sK9)
    | spl62_26
    | ~ spl62_42 ),
    inference(forward_subsumption_resolution,[],[f17676,f14270]) ).

fof(f17680,definition,
    ( spl62_130
  <=> r2_lattices(sK7,k7_lattices(sK7,sK9),sK9) ),
    introduced(definition,[new_symbols(definition,[spl62_130])],[avatar_definition]) ).

fof(f17681,plain,
    ( ~ r2_lattices(sK7,k7_lattices(sK7,sK9),sK9)
    | spl62_130 ),
    inference(avatar_component_clause,[],[f17680]) ).

fof(f17683,definition,
    ( spl62_131
  <=> m1_subset_1(k7_lattices(sK7,sK9),u1_struct_0(sK7)) ),
    introduced(definition,[new_symbols(definition,[spl62_131])],[avatar_definition]) ).

fof(f17684,plain,
    ( ~ m1_subset_1(k7_lattices(sK7,sK9),u1_struct_0(sK7))
    | spl62_131 ),
    inference(avatar_component_clause,[],[f17683]) ).

fof(f17685,plain,
    ( ~ spl62_130
    | ~ spl62_131
    | spl62_26
    | ~ spl62_42 ),
    inference(avatar_split_clause,[],[f17678,f15606,f15114,f17683,f17680]) ).

fof(f18428,plain,
    ( v16_lattices(sK7)
    | ~ spl62_18 ),
    inference(avatar_component_clause,[],[f15063]) ).

fof(f18826,plain,
    ( ~ m1_subset_1(k7_lattices(sK7,sK9),u1_struct_0(sK7))
    | v3_struct_0(sK7)
    | ~ v10_lattices(sK7)
    | ~ v11_lattices(sK7)
    | ~ v16_lattices(sK7)
    | ~ l3_lattices(sK7)
    | ~ m1_subset_1(sK9,u1_struct_0(sK7))
    | spl62_130 ),
    inference(resolution,[],[f17681,f14741]) ).

fof(f18830,plain,
    ( v3_struct_0(sK7)
    | ~ v10_lattices(sK7)
    | ~ v11_lattices(sK7)
    | ~ v16_lattices(sK7)
    | ~ l3_lattices(sK7)
    | ~ m1_subset_1(sK9,u1_struct_0(sK7))
    | spl62_130 ),
    inference(forward_subsumption_resolution,[],[f18826,f14680]) ).

fof(f18832,plain,
    ( ~ v10_lattices(sK7)
    | ~ v11_lattices(sK7)
    | ~ v16_lattices(sK7)
    | ~ l3_lattices(sK7)
    | ~ m1_subset_1(sK9,u1_struct_0(sK7))
    | spl62_130 ),
    inference(forward_subsumption_resolution,[],[f18830,f14264]) ).

fof(f18834,plain,
    ( ~ v11_lattices(sK7)
    | ~ v16_lattices(sK7)
    | ~ l3_lattices(sK7)
    | ~ m1_subset_1(sK9,u1_struct_0(sK7))
    | spl62_130 ),
    inference(forward_subsumption_resolution,[],[f18832,f14263]) ).

fof(f18836,plain,
    ( ~ v16_lattices(sK7)
    | ~ l3_lattices(sK7)
    | ~ m1_subset_1(sK9,u1_struct_0(sK7))
    | ~ spl62_31
    | spl62_33
    | spl62_130 ),
    inference(forward_subsumption_resolution,[],[f18834,f15541]) ).

fof(f18838,plain,
    ( ~ l3_lattices(sK7)
    | ~ m1_subset_1(sK9,u1_struct_0(sK7))
    | ~ spl62_18
    | ~ spl62_31
    | spl62_33
    | spl62_130 ),
    inference(forward_subsumption_resolution,[],[f18836,f18428]) ).

fof(f18840,plain,
    ( ~ m1_subset_1(sK9,u1_struct_0(sK7))
    | ~ spl62_18
    | ~ spl62_31
    | spl62_33
    | spl62_130 ),
    inference(forward_subsumption_resolution,[],[f18838,f14261]) ).

fof(f18841,plain,
    ( $false
    | ~ spl62_18
    | ~ spl62_31
    | spl62_33
    | spl62_130 ),
    inference(forward_subsumption_resolution,[],[f18840,f14270]) ).

fof(f18842,plain,
    ( ~ spl62_18
    | ~ spl62_31
    | spl62_33
    | spl62_130 ),
    inference(avatar_contradiction_clause,[],[f18841]) ).

fof(f18844,plain,
    ( v3_struct_0(sK7)
    | ~ l3_lattices(sK7)
    | ~ m1_subset_1(sK9,u1_struct_0(sK7))
    | spl62_131 ),
    inference(resolution,[],[f17684,f14680]) ).

fof(f18852,plain,
    ( ~ l3_lattices(sK7)
    | ~ m1_subset_1(sK9,u1_struct_0(sK7))
    | spl62_131 ),
    inference(forward_subsumption_resolution,[],[f18844,f14264]) ).

fof(f18854,plain,
    ( ~ m1_subset_1(sK9,u1_struct_0(sK7))
    | spl62_131 ),
    inference(forward_subsumption_resolution,[],[f18852,f14261]) ).

fof(f18856,plain,
    ( $false
    | spl62_131 ),
    inference(forward_subsumption_resolution,[],[f18854,f14270]) ).

fof(f18857,plain,
    spl62_131,
    inference(avatar_contradiction_clause,[],[f18856]) ).

fof(f18861,plain,
    ( ~ m1_subset_1(k7_lattices(sK7,sK9),u1_struct_0(sK7))
    | spl62_27 ),
    inference(forward_demodulation,[],[f15118,f16076]) ).

fof(f18866,plain,
    ( ~ spl62_131
    | spl62_27 ),
    inference(avatar_split_clause,[],[f18861,f15117,f17683]) ).

cnf(s3,plain,
    ( ~ spl62_4
    | ~ spl62_5
    | spl62_6 ),
    inference(sat_conversion,[],[f14773]) ).

cnf(s5,plain,
    spl62_4,
    inference(sat_conversion,[],[f14783]) ).

cnf(s8,plain,
    ( ~ spl62_4
    | ~ spl62_9
    | spl62_10 ),
    inference(sat_conversion,[],[f14886]) ).

cnf(s15,plain,
    spl62_5,
    inference(sat_conversion,[],[f14920]) ).

cnf(s19,plain,
    spl62_9,
    inference(sat_conversion,[],[f14939]) ).

cnf(s37,plain,
    spl62_19,
    inference(sat_conversion,[],[f15110]) ).

cnf(s38,plain,
    ( ~ spl62_6
    | ~ spl62_26
    | ~ spl62_27 ),
    inference(sat_conversion,[],[f15119]) ).

cnf(s41,plain,
    spl62_18,
    inference(sat_conversion,[],[f15140]) ).

cnf(s51,plain,
    ( ~ spl62_5
    | spl62_31 ),
    inference(sat_conversion,[],[f15356]) ).

cnf(s56,plain,
    ~ spl62_33,
    inference(sat_conversion,[],[f15373]) ).

cnf(s69,plain,
    ( ~ spl62_10
    | ~ spl62_18
    | ~ spl62_19
    | spl62_42 ),
    inference(sat_conversion,[],[f15608]) ).

cnf(s171,plain,
    ( spl62_26
    | ~ spl62_42
    | ~ spl62_130
    | ~ spl62_131 ),
    inference(sat_conversion,[],[f17685]) ).

cnf(s196,plain,
    ( ~ spl62_18
    | ~ spl62_31
    | spl62_33
    | spl62_130 ),
    inference(sat_conversion,[],[f18842]) ).

cnf(s197,plain,
    spl62_131,
    inference(sat_conversion,[],[f18857]) ).

cnf(s198,plain,
    ( spl62_27
    | ~ spl62_131 ),
    inference(sat_conversion,[],[f18866]) ).

cnf(s199,plain,
    spl62_27,
    inference(rat,[],[s198,s197]) ).

cnf(s200,plain,
    ( spl62_26
    | ~ spl62_42
    | ~ spl62_130 ),
    inference(rat,[],[s171,s197]) ).

cnf(s208,plain,
    ( ~ spl62_6
    | ~ spl62_26 ),
    inference(rat,[],[s38,s199]) ).

cnf(s219,plain,
    spl62_31,
    inference(rat,[],[s51,s15]) ).

cnf(s220,plain,
    spl62_130,
    inference(rat,[],[s196,s41,s56,s219]) ).

cnf(s228,plain,
    ( ~ spl62_4
    | spl62_10 ),
    inference(rat,[],[s8,s19]) ).

cnf(s235,plain,
    spl62_10,
    inference(rat,[],[s228,s5]) ).

cnf(s237,plain,
    spl62_42,
    inference(rat,[],[s69,s37,s41,s235]) ).

cnf(s238,plain,
    spl62_26,
    inference(rat,[],[s200,s220,s237]) ).

cnf(s239,plain,
    ~ spl62_6,
    inference(rat,[],[s208,s238]) ).

cnf(s240,plain,
    $false,
    inference(rat,[],[s3,s239,s15,s5]) ).

fof(f18867,plain,
    $false,
    inference(avatar_sat_refutation,[],[s240]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LAT296+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38  % Computer : n001.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.39  % DateTime : Sun Sep 27 14:26:18 UTC 2026
% 0.10/0.39  % CPUTime  : 
% 0.10/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42  Running first-order theorem proving
% 0.10/0.42  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
% 9.10/3.14  % (3617390)Detected formulas, will run a generic FOF schedule.
% 9.10/3.14  % (3617401)dis-21_1_sil=8000:lcm=predicate:random_seed=232991218:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 9.10/3.14  % (3617398)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1720666306:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 9.10/3.14  % (3617400)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1595533565:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 9.10/3.14  % (3617397)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=861255566:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 9.10/3.14  % (3617395)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=3454335851:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 9.10/3.14  % (3617396)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=1428653549:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 9.10/3.14  % (3617399)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1734206888:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 9.10/3.14  % (3617401)Instruction limit reached! 
% 9.10/3.14  % (3617401)------------------------------
% 9.10/3.14  % (3617401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.10/3.14  % (3617401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.10/3.14  % (3617401)CaDiCaL version: 2.1.3
% 9.10/3.14  % (3617401)Termination reason: Instruction limit
% 9.10/3.14  % (3617401)Termination phase: Preprocessing 1
% 9.10/3.14  % (3617401)Time elapsed: 0.056 s
% 9.10/3.14  % (3617401)Peak memory usage: 104 MB
% 9.10/3.14  % (3617401)Instructions burned: 129 (million)
% 9.10/3.14  % (3617400)Instruction limit reached! 
% 9.10/3.14  % (3617400)------------------------------
% 9.10/3.14  % (3617400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.10/3.14  % (3617400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.10/3.14  % (3617400)CaDiCaL version: 2.1.3
% 9.10/3.14  % (3617400)Termination reason: Instruction limit
% 9.10/3.14  % (3617400)Termination phase: Property scanning
% 9.10/3.14  % (3617400)Time elapsed: 0.058 s
% 9.10/3.14  % (3617400)Peak memory usage: 102 MB
% 9.10/3.14  % (3617400)Instructions burned: 139 (million)
% 9.10/3.14  % (3617398)Refutation not found, incomplete strategy
% 9.10/3.14  % (3617398)------------------------------
% 9.10/3.14  % (3617398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.10/3.14  % (3617398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.10/3.14  % (3617398)CaDiCaL version: 2.1.3
% 9.10/3.14  % (3617398)Termination reason: Refutation not found, incomplete strategy
% 9.10/3.14  % (3617398)Time elapsed: 0.065 s
% 9.10/3.14  % (3617398)Peak memory usage: 107 MB
% 9.10/3.14  % (3617398)Instructions burned: 81 (million)
% 9.10/3.14  % (3617399)Instruction limit reached! 
% 9.10/3.14  % (3617399)------------------------------
% 9.10/3.14  % (3617399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.10/3.14  % (3617399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.10/3.14  % (3617399)CaDiCaL version: 2.1.3
% 9.10/3.14  % (3617399)Termination reason: Instruction limit
% 9.10/3.14  % (3617399)Termination phase: Function definition elimination
% 9.10/3.14  % (3617399)Time elapsed: 0.092 s
% 9.10/3.14  % (3617399)Peak memory usage: 105 MB
% 9.10/3.14  % (3617399)Instructions burned: 120 (million)
% 9.10/3.14  % (3617409)lrs+10_1_sil=8000:sp=occurrence:random_seed=760646954:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 9.10/3.14  % (3617410)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3066598715:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 9.10/3.14  % (3617409)Instruction limit reached! 
% 9.10/3.14  % (3617409)------------------------------
% 9.10/3.14  % (3617409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.10/3.14  % (3617409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.10/3.14  % (3617409)CaDiCaL version: 2.1.3
% 9.10/3.14  % (3617409)Termination reason: Instruction limit
% 9.10/3.14  % (3617409)Termination phase: Saturation
% 9.10/3.14  % (3617409)Time elapsed: 0.110 s
% 9.10/3.14  % (3617409)Peak memory usage: 109 MB
% 9.10/3.14  % (3617409)Instructions burned: 286 (million)
% 9.10/3.14  % (3617411)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1824391098:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 9.10/3.14  % (3617410)Instruction limit reached! 
% 9.10/3.14  % (3617410)------------------------------
% 9.10/3.14  % (3617410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.10/3.14  % (3617410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.10/3.14  % (3617410)CaDiCaL version: 2.1.3
% 9.10/3.14  % (3617410)Termination reason: Instruction limit
% 9.10/3.14  % (3617410)Termination phase: Property scanning
% 9.10/3.14  % (3617410)Time elapsed: 0.068 s
% 9.10/3.14  % (3617410)Peak memory usage: 102 MB
% 9.10/3.14  % (3617410)Instructions burned: 159 (million)
% 9.10/3.14  % (3617398)------------------------------
% 9.10/3.14  % (3617398)------------------------------
% 9.10/3.14  % (3617414)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=1430959086:s2a=on:i=248:s2at=1.23:gtg=position_2989 on theBenchmark for (2989ds/248Mi)
% 9.10/3.14  % (3617414)Instruction limit reached! 
% 9.10/3.14  % (3617414)------------------------------
% 9.10/3.14  % (3617414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.10/3.14  % (3617414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.10/3.14  % (3617414)CaDiCaL version: 2.1.3
% 9.10/3.14  % (3617414)Termination reason: Instruction limit
% 9.10/3.14  % (3617414)Termination phase: SInE selection
% 9.10/3.14  % (3617414)Time elapsed: 0.071 s
% 9.10/3.14  % (3617414)Peak memory usage: 103 MB
% 9.10/3.14  % (3617414)Instructions burned: 249 (million)
% 9.10/3.14  % (3617416)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=513765084:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2988 on theBenchmark for (2988ds/294Mi)
% 9.10/3.14  % (3617417)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1860033872:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 9.10/3.14  % (3617411)Instruction limit reached! 
% 9.10/3.14  % (3617411)------------------------------
% 9.10/3.14  % (3617411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.10/3.14  % (3617411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.10/3.14  % (3617411)CaDiCaL version: 2.1.3
% 9.10/3.14  % (3617411)Termination reason: Instruction limit
% 9.10/3.14  % (3617411)Termination phase: Saturation
% 9.10/3.14  % (3617411)Time elapsed: 0.235 s
% 9.10/3.14  % (3617411)Peak memory usage: 110 MB
% 9.10/3.14  % (3617411)Instructions burned: 327 (million)
% 9.10/3.14  % (3617419)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2706170877:cts=off:i=113:fsr=off:ss=included:sgt=4_2987 on theBenchmark for (2987ds/113Mi)
% 9.10/3.14  % (3617419)Instruction limit reached! 
% 9.10/3.14  % (3617419)------------------------------
% 9.10/3.14  % (3617419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.10/3.14  % (3617419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.10/3.14  % (3617419)CaDiCaL version: 2.1.3
% 9.10/3.14  % (3617419)Termination reason: Instruction limit
% 9.10/3.14  % (3617419)Termination phase: Preprocessing 3
% 9.10/3.14  % (3617419)Time elapsed: 0.054 s
% 9.10/3.14  % (3617419)Peak memory usage: 105 MB
% 9.10/3.14  % (3617419)Instructions burned: 114 (million)
% 9.10/3.14  % (3617416)Instruction limit reached! 
% 9.10/3.14  % (3617416)------------------------------
% 9.10/3.14  % (3617416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.10/3.14  % (3617416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.10/3.14  % (3617416)CaDiCaL version: 2.1.3
% 9.10/3.14  % (3617416)Termination reason: Instruction limit
% 9.10/3.14  % (3617416)Termination phase: Saturation
% 9.10/3.14  % (3617416)Time elapsed: 0.193 s
% 9.10/3.14  % (3617416)Peak memory usage: 110 MB
% 9.10/3.14  % (3617416)Instructions burned: 295 (million)
% 9.10/3.14  % (3617422)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1470713443:i=127:av=off:fsr=off:sup=off_2986 on theBenchmark for (2986ds/127Mi)
% 9.10/3.14  % (3617424)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2456220247:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 9.10/3.14  % (3617422)Instruction limit reached! 
% 9.10/3.14  % (3617422)------------------------------
% 9.10/3.14  % (3617422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.10/3.14  % (3617422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.10/3.14  % (3617422)CaDiCaL version: 2.1.3
% 9.10/3.14  % (3617422)Termination reason: Instruction limit
% 9.10/3.14  % (3617422)Termination phase: Preprocessing 2
% 9.10/3.14  % (3617422)Time elapsed: 0.102 s
% 9.10/3.14  % (3617422)Peak memory usage: 106 MB
% 9.10/3.14  % (3617422)Instructions burned: 127 (million)
% 9.10/3.14  % (3617424)Instruction limit reached! 
% 9.10/3.14  % (3617424)------------------------------
% 9.10/3.14  % (3617424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.10/3.14  % (3617424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.10/3.14  % (3617424)CaDiCaL version: 2.1.3
% 9.10/3.14  % (3617424)Termination reason: Instruction limit
% 9.10/3.14  % (3617424)Termination phase: Property scanning
% 9.10/3.14  % (3617424)Time elapsed: 0.027 s
% 9.10/3.14  % (3617424)Peak memory usage: 102 MB
% 9.10/3.14  % (3617424)Instructions burned: 118 (million)
% 9.10/3.14  % (3617425)lrs+10_1_sil=8000:sp=occurrence:random_seed=3968281882:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 9.10/3.14  % (3617429)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2065240512:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 9.10/3.14  % (3617428)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3709746152:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 9.10/3.14  % (3617428)First to succeed.
% 9.10/3.14  % (3617428)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3617390"
% 9.10/3.14  % (3617428)Refutation found. Thanks to Tanya!
% 9.10/3.14  % SZS status Theorem for theBenchmark
% 9.10/3.14  % SZS output start Proof for theBenchmark
% See solution above
% 12.41/3.33  % (3617428)------------------------------
% 12.41/3.33  % (3617428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.41/3.33  % (3617428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.41/3.33  % (3617428)CaDiCaL version: 2.1.3
% 12.41/3.33  % (3617428)Termination reason: Refutation
% 12.41/3.33  % (3617428)Time elapsed: 0.181 s
% 12.41/3.33  % (3617428)Peak memory usage: 110 MB
% 12.41/3.33  % (3617428)Instructions burned: 293 (million)
% 12.41/3.33  % (3617428)------------------------------
% 12.41/3.33  % (3617428)------------------------------
% 12.41/3.33  % (3617390)Success in time 2.262 s
% 12.41/3.33  % Vampire exiting
%------------------------------------------------------------------------------