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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : LAT329+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n014.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 11:48:27 AM UTC 2026

% Result   : Theorem 15.96s 5.40s
% Output   : Refutation 15.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   41
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  225 (  30 unt;   4 def)
%            Number of atoms       :  903 (  56 equ)
%            Maximal formula atoms :   13 (   4 avg)
%            Number of connectives : 1200 ( 522   ~; 563   |;  68   &)
%                                         (  13 <=>;  33  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   17 (  15 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-3 aty)
%            Number of variables   :  282 ( 276   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,u1_struct_0(X0))
         => ( v14_lattices(X0)
           => r1_filter_2(u1_struct_0(X0),k2_filter_2(X0,X1),k22_filter_2(X0,X1,k6_lattices(X0))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t66_filter_2) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( ~ v3_struct_0(X0)
          & v10_lattices(X0)
          & l3_lattices(X0) )
       => ! [X1] :
            ( m1_subset_1(X1,u1_struct_0(X0))
           => ( v14_lattices(X0)
             => r1_filter_2(u1_struct_0(X0),k2_filter_2(X0,X1),k22_filter_2(X0,X1,k6_lattices(X0))) ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f11,axiom,
    ! [X0,X1,X2] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0)
        & m1_subset_1(X1,u1_struct_0(X0))
        & m1_subset_1(X2,u1_struct_0(X0)) )
     => ( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
        & m2_lattice4(k22_filter_2(X0,X1,X2),X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k22_filter_2) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0)
        & m1_subset_1(X1,u1_struct_0(X0)) )
     => m1_filter_2(k2_filter_2(X0,X1),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_filter_2) ).

fof(f14,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & l2_lattices(X0) )
     => m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_lattices) ).

fof(f17,axiom,
    ! [X0] :
      ( l2_lattices(X0)
     => l1_struct_0(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_lattices) ).

fof(f18,axiom,
    ! [X0] :
      ( l3_lattices(X0)
     => ( l1_lattices(X0)
        & l2_lattices(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).

fof(f19,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0) )
     => ! [X1] :
          ( m1_filter_0(X1,X0)
         => ( ~ v1_xboole_0(X1)
            & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_filter_0) ).

fof(f22,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0) )
     => ! [X1] :
          ( m2_lattice4(X1,X0)
         => m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).

fof(f32,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & l1_struct_0(X0) )
     => ~ v1_xboole_0(u1_struct_0(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).

fof(f43,axiom,
    ! [X0,X1] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0)
        & m1_subset_1(X1,u1_struct_0(X0)) )
     => k2_filter_2(X0,X1) = k2_filter_0(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_filter_2) ).

fof(f44,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0) )
     => ! [X1] :
          ( m1_filter_2(X1,X0)
        <=> m1_filter_0(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).

fof(f45,axiom,
    ! [X0,X1,X2] :
      ( ( ~ v1_xboole_0(X0)
        & m1_subset_1(X1,k1_zfmisc_1(X0))
        & m1_subset_1(X2,k1_zfmisc_1(X0)) )
     => ( r1_filter_2(X0,X1,X2)
      <=> X1 = X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_filter_2) ).

fof(f51,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,u1_struct_0(X0))
         => ! [X2] :
              ( m1_subset_1(X2,u1_struct_0(X0))
             => ( r2_hidden(X1,k2_filter_0(X0,X2))
              <=> r3_lattices(X0,X2,X1) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_filter_0) ).

fof(f52,axiom,
    ! [X0,X1] :
      ( r2_hidden(X0,X1)
     => m1_subset_1(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).

fof(f53,axiom,
    ! [X0,X1] :
      ( m1_subset_1(X0,X1)
     => ( v1_xboole_0(X1)
        | r2_hidden(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).

fof(f54,axiom,
    ! [X0,X1] :
      ( ! [X2] :
          ( r2_hidden(X2,X0)
        <=> r2_hidden(X2,X1) )
     => X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski) ).

fof(f56,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & v14_lattices(X0)
        & l3_lattices(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,u1_struct_0(X0))
         => r3_lattices(X0,X1,k6_lattices(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_lattices) ).

fof(f57,axiom,
    ! [X0,X1,X2] :
      ( ( r2_hidden(X0,X1)
        & m1_subset_1(X1,k1_zfmisc_1(X2)) )
     => m1_subset_1(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).

fof(f59,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,u1_struct_0(X0))
         => ! [X2] :
              ( m1_subset_1(X2,u1_struct_0(X0))
             => ! [X3] :
                  ( m1_subset_1(X3,u1_struct_0(X0))
                 => ( r3_lattices(X0,X1,X2)
                   => ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
                    <=> ( r3_lattices(X0,X1,X3)
                        & r3_lattices(X0,X3,X2) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_filter_2) ).

fof(f61,axiom,
    ! [X0,X1] :
      ~ ( r2_hidden(X0,X1)
        & v1_xboole_0(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).

fof(f66,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ r1_filter_2(u1_struct_0(X0),k2_filter_2(X0,X1),k22_filter_2(X0,X1,k6_lattices(X0)))
          & v14_lattices(X0)
          & m1_subset_1(X1,u1_struct_0(X0)) )
      & ~ v3_struct_0(X0)
      & v10_lattices(X0)
      & l3_lattices(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f67,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ r1_filter_2(u1_struct_0(X0),k2_filter_2(X0,X1),k22_filter_2(X0,X1,k6_lattices(X0)))
          & v14_lattices(X0)
          & m1_subset_1(X1,u1_struct_0(X0)) )
      & ~ v3_struct_0(X0)
      & v10_lattices(X0)
      & l3_lattices(X0) ),
    inference(flattening,[],[f66]) ).

fof(f76,plain,
    ! [X0,X1,X2] :
      ( ( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
        & m2_lattice4(k22_filter_2(X0,X1,X2),X0) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ m1_subset_1(X2,u1_struct_0(X0)) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f77,plain,
    ! [X0,X1,X2] :
      ( ( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
        & m2_lattice4(k22_filter_2(X0,X1,X2),X0) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ m1_subset_1(X2,u1_struct_0(X0)) ),
    inference(flattening,[],[f76]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( m1_filter_2(k2_filter_2(X0,X1),X0)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0)) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( m1_filter_2(k2_filter_2(X0,X1),X0)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0)) ),
    inference(flattening,[],[f80]) ).

fof(f82,plain,
    ! [X0] :
      ( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ l2_lattices(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f83,plain,
    ! [X0] :
      ( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ l2_lattices(X0) ),
    inference(flattening,[],[f82]) ).

fof(f85,plain,
    ! [X0] :
      ( l1_struct_0(X0)
      | ~ l2_lattices(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f86,plain,
    ! [X0] :
      ( ( l1_lattices(X0)
        & l2_lattices(X0) )
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f87,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ~ v1_xboole_0(X1)
            & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
          | ~ m1_filter_0(X1,X0) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f88,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ~ v1_xboole_0(X1)
            & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
          | ~ m1_filter_0(X1,X0) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f87]) ).

fof(f91,plain,
    ! [X0] :
      ( ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ~ m2_lattice4(X1,X0) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f92,plain,
    ! [X0] :
      ( ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ~ m2_lattice4(X1,X0) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f91]) ).

fof(f99,plain,
    ! [X0] :
      ( ~ v1_xboole_0(u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f100,plain,
    ! [X0] :
      ( ~ v1_xboole_0(u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0) ),
    inference(flattening,[],[f99]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( k2_filter_2(X0,X1) = k2_filter_0(X0,X1)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0)) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( k2_filter_2(X0,X1) = k2_filter_0(X0,X1)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0)) ),
    inference(flattening,[],[f108]) ).

fof(f110,plain,
    ! [X0] :
      ( ! [X1] :
          ( m1_filter_2(X1,X0)
        <=> m1_filter_0(X1,X0) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f111,plain,
    ! [X0] :
      ( ! [X1] :
          ( m1_filter_2(X1,X0)
        <=> m1_filter_0(X1,X0) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f110]) ).

fof(f112,plain,
    ! [X0,X1,X2] :
      ( ( r1_filter_2(X0,X1,X2)
      <=> X1 = X2 )
      | v1_xboole_0(X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0))
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f113,plain,
    ! [X0,X1,X2] :
      ( ( r1_filter_2(X0,X1,X2)
      <=> X1 = X2 )
      | v1_xboole_0(X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0))
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
    inference(flattening,[],[f112]) ).

fof(f122,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( r2_hidden(X1,k2_filter_0(X0,X2))
              <=> r3_lattices(X0,X2,X1) )
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f123,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( r2_hidden(X1,k2_filter_0(X0,X2))
              <=> r3_lattices(X0,X2,X1) )
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f122]) ).

fof(f124,plain,
    ! [X0,X1] :
      ( m1_subset_1(X0,X1)
      | ~ r2_hidden(X0,X1) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f125,plain,
    ! [X0,X1] :
      ( v1_xboole_0(X1)
      | r2_hidden(X0,X1)
      | ~ m1_subset_1(X0,X1) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( v1_xboole_0(X1)
      | r2_hidden(X0,X1)
      | ~ m1_subset_1(X0,X1) ),
    inference(flattening,[],[f125]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ? [X2] :
          ( r2_hidden(X2,X0)
        <~> r2_hidden(X2,X1) ) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f129,plain,
    ! [X0] :
      ( ! [X1] :
          ( r3_lattices(X0,X1,k6_lattices(X0))
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v14_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f130,plain,
    ! [X0] :
      ( ! [X1] :
          ( r3_lattices(X0,X1,k6_lattices(X0))
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v14_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f129]) ).

fof(f131,plain,
    ! [X0,X1,X2] :
      ( m1_subset_1(X0,X2)
      | ~ r2_hidden(X0,X1)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f132,plain,
    ! [X0,X1,X2] :
      ( m1_subset_1(X0,X2)
      | ~ r2_hidden(X0,X1)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    inference(flattening,[],[f131]) ).

fof(f134,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
                  <=> ( r3_lattices(X0,X1,X3)
                      & r3_lattices(X0,X3,X2) ) )
                  | ~ r3_lattices(X0,X1,X2)
                  | ~ m1_subset_1(X3,u1_struct_0(X0)) )
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f135,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
                  <=> ( r3_lattices(X0,X1,X3)
                      & r3_lattices(X0,X3,X2) ) )
                  | ~ r3_lattices(X0,X1,X2)
                  | ~ m1_subset_1(X3,u1_struct_0(X0)) )
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f134]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( ~ r2_hidden(X0,X1)
      | ~ v1_xboole_0(X1) ),
    inference(ennf_transformation,[],[f61]) ).

fof(f139,plain,
    ( ~ r1_filter_2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0)))
    & v14_lattices(sK0)
    & m1_subset_1(sK1,u1_struct_0(sK0))
    & ~ v3_struct_0(sK0)
    & v10_lattices(sK0)
    & l3_lattices(sK0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f67]) ).

fof(f162,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( m1_filter_2(X1,X0)
            | ~ m1_filter_0(X1,X0) )
          & ( m1_filter_0(X1,X0)
            | ~ m1_filter_2(X1,X0) ) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(nnf_transformation,[],[f111]) ).

fof(f163,plain,
    ! [X0,X1,X2] :
      ( ( ( r1_filter_2(X0,X1,X2)
          | X1 != X2 )
        & ( X1 = X2
          | ~ r1_filter_2(X0,X1,X2) ) )
      | v1_xboole_0(X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0))
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
    inference(nnf_transformation,[],[f113]) ).

fof(f165,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( r2_hidden(X1,k2_filter_0(X0,X2))
                  | ~ r3_lattices(X0,X2,X1) )
                & ( r3_lattices(X0,X2,X1)
                  | ~ r2_hidden(X1,k2_filter_0(X0,X2)) ) )
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(nnf_transformation,[],[f123]) ).

fof(f166,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ? [X2] :
          ( ( ~ r2_hidden(X2,X1)
            | ~ r2_hidden(X2,X0) )
          & ( r2_hidden(X2,X1)
            | r2_hidden(X2,X0) ) ) ),
    inference(nnf_transformation,[],[f127]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ( ( ~ r2_hidden(sK19(X0,X1),X1)
          | ~ r2_hidden(sK19(X0,X1),X0) )
        & ( r2_hidden(sK19(X0,X1),X1)
          | r2_hidden(sK19(X0,X1),X0) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X2,sK19(X0,X1))],[f166]) ).

fof(f168,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
                      | ~ r3_lattices(X0,X1,X3)
                      | ~ r3_lattices(X0,X3,X2) )
                    & ( ( r3_lattices(X0,X1,X3)
                        & r3_lattices(X0,X3,X2) )
                      | ~ r2_hidden(X3,k22_filter_2(X0,X1,X2)) ) )
                  | ~ r3_lattices(X0,X1,X2)
                  | ~ m1_subset_1(X3,u1_struct_0(X0)) )
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(nnf_transformation,[],[f135]) ).

fof(f169,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
                      | ~ r3_lattices(X0,X1,X3)
                      | ~ r3_lattices(X0,X3,X2) )
                    & ( ( r3_lattices(X0,X1,X3)
                        & r3_lattices(X0,X3,X2) )
                      | ~ r2_hidden(X3,k22_filter_2(X0,X1,X2)) ) )
                  | ~ r3_lattices(X0,X1,X2)
                  | ~ m1_subset_1(X3,u1_struct_0(X0)) )
              | ~ m1_subset_1(X2,u1_struct_0(X0)) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f168]) ).

fof(f170,plain,
    l3_lattices(sK0),
    inference(cnf_transformation,[],[f139]) ).

fof(f171,plain,
    v10_lattices(sK0),
    inference(cnf_transformation,[],[f139]) ).

fof(f172,plain,
    ~ v3_struct_0(sK0),
    inference(cnf_transformation,[],[f139]) ).

fof(f173,plain,
    m1_subset_1(sK1,u1_struct_0(sK0)),
    inference(cnf_transformation,[],[f139]) ).

fof(f174,plain,
    v14_lattices(sK0),
    inference(cnf_transformation,[],[f139]) ).

fof(f175,plain,
    ~ r1_filter_2(u1_struct_0(sK0),k2_filter_2(sK0,sK1),k22_filter_2(sK0,sK1,k6_lattices(sK0))),
    inference(cnf_transformation,[],[f139]) ).

fof(f192,plain,
    ! [X2,X0,X1] :
      ( m2_lattice4(k22_filter_2(X0,X1,X2),X0)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ m1_subset_1(X2,u1_struct_0(X0)) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f195,plain,
    ! [X0,X1] :
      ( m1_filter_2(k2_filter_2(X0,X1),X0)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ m1_subset_1(X1,u1_struct_0(X0)) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f196,plain,
    ! [X0] :
      ( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ l2_lattices(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f198,plain,
    ! [X0] :
      ( ~ l2_lattices(X0)
      | l1_struct_0(X0) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f199,plain,
    ! [X0] :
      ( ~ l3_lattices(X0)
      | l2_lattices(X0) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f201,plain,
    ! [X0,X1] :
      ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ m1_filter_0(X1,X0)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f88]) ).

fof(f205,plain,
    ! [X0,X1] :
      ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ m2_lattice4(X1,X0)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f214,plain,
    ! [X0] :
      ( ~ v1_xboole_0(u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ l1_struct_0(X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f233,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X1,u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0)
      | k2_filter_2(X0,X1) = k2_filter_0(X0,X1) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f234,plain,
    ! [X0,X1] :
      ( ~ m1_filter_2(X1,X0)
      | m1_filter_0(X1,X0)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f237,plain,
    ! [X2,X0,X1] :
      ( r1_filter_2(X0,X1,X2)
      | X1 != X2
      | v1_xboole_0(X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0))
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
    inference(cnf_transformation,[],[f163]) ).

fof(f244,plain,
    ! [X2,X0,X1] :
      ( ~ r2_hidden(X1,k2_filter_0(X0,X2))
      | r3_lattices(X0,X2,X1)
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f245,plain,
    ! [X2,X0,X1] :
      ( r2_hidden(X1,k2_filter_0(X0,X2))
      | ~ r3_lattices(X0,X2,X1)
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f246,plain,
    ! [X0,X1] :
      ( ~ r2_hidden(X0,X1)
      | m1_subset_1(X0,X1) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f247,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X0,X1)
      | r2_hidden(X0,X1)
      | v1_xboole_0(X1) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f248,plain,
    ! [X0,X1] :
      ( r2_hidden(sK19(X0,X1),X1)
      | r2_hidden(sK19(X0,X1),X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f167]) ).

fof(f249,plain,
    ! [X0,X1] :
      ( ~ r2_hidden(sK19(X0,X1),X1)
      | X0 = X1
      | ~ r2_hidden(sK19(X0,X1),X0) ),
    inference(cnf_transformation,[],[f167]) ).

fof(f251,plain,
    ! [X0,X1] :
      ( r3_lattices(X0,X1,k6_lattices(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ v14_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f252,plain,
    ! [X2,X0,X1] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
      | ~ r2_hidden(X0,X1)
      | m1_subset_1(X0,X2) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f255,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r2_hidden(X3,k22_filter_2(X0,X1,X2))
      | r3_lattices(X0,X1,X3)
      | ~ r3_lattices(X0,X1,X2)
      | ~ m1_subset_1(X3,u1_struct_0(X0))
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f169]) ).

fof(f256,plain,
    ! [X2,X3,X0,X1] :
      ( r2_hidden(X3,k22_filter_2(X0,X1,X2))
      | ~ r3_lattices(X0,X1,X3)
      | ~ r3_lattices(X0,X3,X2)
      | ~ r3_lattices(X0,X1,X2)
      | ~ m1_subset_1(X3,u1_struct_0(X0))
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f169]) ).

fof(f258,plain,
    ! [X0,X1] :
      ( ~ r2_hidden(X0,X1)
      | ~ v1_xboole_0(X1) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f261,plain,
    ! [X2,X0] :
      ( r1_filter_2(X0,X2,X2)
      | v1_xboole_0(X0)
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0))
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
    inference(equality_resolution,[],[f237]) ).

fof(f262,definition,
    sF20 = u1_struct_0(sK0),
    introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).

fof(f263,plain,
    u1_struct_0(sK0) = sF20,
    inference(reorient_equations,[],[f262]) ).

fof(f264,definition,
    sF21 = k2_filter_2(sK0,sK1),
    introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).

fof(f265,plain,
    k2_filter_2(sK0,sK1) = sF21,
    inference(reorient_equations,[],[f264]) ).

fof(f266,definition,
    sF22 = k6_lattices(sK0),
    introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).

fof(f267,plain,
    k6_lattices(sK0) = sF22,
    inference(reorient_equations,[],[f266]) ).

fof(f268,definition,
    sF23 = k22_filter_2(sK0,sK1,sF22),
    introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).

fof(f269,plain,
    k22_filter_2(sK0,sK1,sF22) = sF23,
    inference(reorient_equations,[],[f268]) ).

fof(f270,plain,
    ~ r1_filter_2(sF20,sF21,sF23),
    inference(definition_folding,[],[f175,f269,f267,f265,f263]) ).

fof(f271,plain,
    m1_subset_1(sK1,sF20),
    inference(definition_folding,[],[f173,f263]) ).

fof(f272,plain,
    ! [X2,X0] :
      ( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
      | v1_xboole_0(X0)
      | r1_filter_2(X0,X2,X2) ),
    inference(duplicate_literal_removal,[],[f261]) ).

fof(f280,plain,
    l2_lattices(sK0),
    inference(resolution,[],[f199,f170]) ).

fof(f282,plain,
    l1_struct_0(sK0),
    inference(resolution,[],[f280,f198]) ).

fof(f294,plain,
    ( ~ v1_xboole_0(sF20)
    | v3_struct_0(sK0)
    | ~ l1_struct_0(sK0) ),
    inference(superposition,[],[f214,f263]) ).

fof(f295,plain,
    ( ~ v1_xboole_0(sF20)
    | ~ l1_struct_0(sK0) ),
    inference(forward_subsumption_resolution,[],[f294,f172]) ).

fof(f296,plain,
    ~ v1_xboole_0(sF20),
    inference(forward_subsumption_resolution,[],[f295,f282]) ).

fof(f340,plain,
    ( m1_subset_1(k6_lattices(sK0),sF20)
    | v3_struct_0(sK0)
    | ~ l2_lattices(sK0) ),
    inference(superposition,[],[f196,f263]) ).

fof(f341,plain,
    ( m1_subset_1(k6_lattices(sK0),sF20)
    | ~ l2_lattices(sK0) ),
    inference(forward_subsumption_resolution,[],[f340,f172]) ).

fof(f343,plain,
    m1_subset_1(k6_lattices(sK0),sF20),
    inference(forward_subsumption_resolution,[],[f341,f280]) ).

fof(f345,plain,
    m1_subset_1(sF22,sF20),
    inference(forward_demodulation,[],[f343,f267]) ).

fof(f405,plain,
    ! [X0,X1] :
      ( r2_hidden(sK19(X0,X1),X0)
      | m1_subset_1(sK19(X0,X1),X1)
      | X0 = X1 ),
    inference(resolution,[],[f248,f246]) ).

fof(f407,plain,
    ! [X0,X1] :
      ( r2_hidden(sK19(X0,X1),X0)
      | X0 = X1
      | ~ v1_xboole_0(X1) ),
    inference(resolution,[],[f248,f258]) ).

fof(f432,plain,
    ! [X0] :
      ( m1_subset_1(X0,k1_zfmisc_1(sF20))
      | ~ m1_filter_0(X0,sK0)
      | v3_struct_0(sK0)
      | ~ v10_lattices(sK0)
      | ~ l3_lattices(sK0) ),
    inference(superposition,[],[f201,f263]) ).

fof(f433,plain,
    ! [X0] :
      ( m1_subset_1(X0,k1_zfmisc_1(sF20))
      | ~ m1_filter_0(X0,sK0)
      | ~ v10_lattices(sK0)
      | ~ l3_lattices(sK0) ),
    inference(forward_subsumption_resolution,[],[f432,f172]) ).

fof(f435,plain,
    ! [X0] :
      ( m1_subset_1(X0,k1_zfmisc_1(sF20))
      | ~ m1_filter_0(X0,sK0)
      | ~ l3_lattices(sK0) ),
    inference(forward_subsumption_resolution,[],[f433,f171]) ).

fof(f436,plain,
    ! [X0] :
      ( m1_subset_1(X0,k1_zfmisc_1(sF20))
      | ~ m1_filter_0(X0,sK0) ),
    inference(forward_subsumption_resolution,[],[f435,f170]) ).

fof(f437,plain,
    ! [X0] :
      ( ~ m1_filter_0(X0,sK0)
      | v1_xboole_0(sF20)
      | r1_filter_2(sF20,X0,X0) ),
    inference(resolution,[],[f436,f272]) ).

fof(f438,plain,
    ! [X0,X1] :
      ( ~ m1_filter_0(X0,sK0)
      | ~ r2_hidden(X1,X0)
      | m1_subset_1(X1,sF20) ),
    inference(resolution,[],[f436,f252]) ).

fof(f442,plain,
    ! [X0] :
      ( r1_filter_2(sF20,X0,X0)
      | ~ m1_filter_0(X0,sK0) ),
    inference(forward_subsumption_resolution,[],[f437,f296]) ).

fof(f447,plain,
    ! [X0] :
      ( m1_subset_1(X0,k1_zfmisc_1(sF20))
      | ~ m2_lattice4(X0,sK0)
      | v3_struct_0(sK0)
      | ~ v10_lattices(sK0)
      | ~ l3_lattices(sK0) ),
    inference(superposition,[],[f205,f263]) ).

fof(f448,plain,
    ! [X0] :
      ( m1_subset_1(X0,k1_zfmisc_1(sF20))
      | ~ m2_lattice4(X0,sK0)
      | ~ v10_lattices(sK0)
      | ~ l3_lattices(sK0) ),
    inference(forward_subsumption_resolution,[],[f447,f172]) ).

fof(f450,plain,
    ! [X0] :
      ( m1_subset_1(X0,k1_zfmisc_1(sF20))
      | ~ m2_lattice4(X0,sK0)
      | ~ l3_lattices(sK0) ),
    inference(forward_subsumption_resolution,[],[f448,f171]) ).

fof(f451,plain,
    ! [X0] :
      ( m1_subset_1(X0,k1_zfmisc_1(sF20))
      | ~ m2_lattice4(X0,sK0) ),
    inference(forward_subsumption_resolution,[],[f450,f170]) ).

fof(f453,plain,
    ! [X0,X1] :
      ( ~ m2_lattice4(X0,sK0)
      | ~ r2_hidden(X1,X0)
      | m1_subset_1(X1,sF20) ),
    inference(resolution,[],[f451,f252]) ).

fof(f481,plain,
    ( m1_filter_2(sF21,sK0)
    | v3_struct_0(sK0)
    | ~ v10_lattices(sK0)
    | ~ l3_lattices(sK0)
    | ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
    inference(superposition,[],[f195,f265]) ).

fof(f485,plain,
    ( m1_filter_2(sF21,sK0)
    | ~ v10_lattices(sK0)
    | ~ l3_lattices(sK0)
    | ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
    inference(forward_subsumption_resolution,[],[f481,f172]) ).

fof(f486,plain,
    ( m1_filter_2(sF21,sK0)
    | ~ l3_lattices(sK0)
    | ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
    inference(forward_subsumption_resolution,[],[f485,f171]) ).

fof(f487,plain,
    ( m1_filter_2(sF21,sK0)
    | ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
    inference(forward_subsumption_resolution,[],[f486,f170]) ).

fof(f488,plain,
    ( ~ m1_subset_1(sK1,sF20)
    | m1_filter_2(sF21,sK0) ),
    inference(forward_demodulation,[],[f487,f263]) ).

fof(f489,plain,
    m1_filter_2(sF21,sK0),
    inference(forward_subsumption_resolution,[],[f488,f271]) ).

fof(f490,plain,
    ( m1_filter_0(sF21,sK0)
    | v3_struct_0(sK0)
    | ~ v10_lattices(sK0)
    | ~ l3_lattices(sK0) ),
    inference(resolution,[],[f489,f234]) ).

fof(f495,plain,
    ( m1_filter_0(sF21,sK0)
    | ~ v10_lattices(sK0)
    | ~ l3_lattices(sK0) ),
    inference(forward_subsumption_resolution,[],[f490,f172]) ).

fof(f498,plain,
    ( m1_filter_0(sF21,sK0)
    | ~ l3_lattices(sK0) ),
    inference(forward_subsumption_resolution,[],[f495,f171]) ).

fof(f501,plain,
    m1_filter_0(sF21,sK0),
    inference(forward_subsumption_resolution,[],[f498,f170]) ).

fof(f512,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,sF20)
      | v3_struct_0(sK0)
      | ~ v10_lattices(sK0)
      | ~ l3_lattices(sK0)
      | k2_filter_0(sK0,X0) = k2_filter_2(sK0,X0) ),
    inference(superposition,[],[f233,f263]) ).

fof(f514,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,sF20)
      | ~ v10_lattices(sK0)
      | ~ l3_lattices(sK0)
      | k2_filter_0(sK0,X0) = k2_filter_2(sK0,X0) ),
    inference(forward_subsumption_resolution,[],[f512,f172]) ).

fof(f516,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,sF20)
      | ~ l3_lattices(sK0)
      | k2_filter_0(sK0,X0) = k2_filter_2(sK0,X0) ),
    inference(forward_subsumption_resolution,[],[f514,f171]) ).

fof(f517,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,sF20)
      | k2_filter_0(sK0,X0) = k2_filter_2(sK0,X0) ),
    inference(forward_subsumption_resolution,[],[f516,f170]) ).

fof(f524,plain,
    ! [X0] :
      ( r3_lattices(sK0,X0,sF22)
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | v3_struct_0(sK0)
      | ~ v10_lattices(sK0)
      | ~ v14_lattices(sK0)
      | ~ l3_lattices(sK0) ),
    inference(superposition,[],[f251,f267]) ).

fof(f525,plain,
    ! [X0] :
      ( r3_lattices(sK0,X0,sF22)
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | ~ v10_lattices(sK0)
      | ~ v14_lattices(sK0)
      | ~ l3_lattices(sK0) ),
    inference(forward_subsumption_resolution,[],[f524,f172]) ).

fof(f526,plain,
    ! [X0] :
      ( r3_lattices(sK0,X0,sF22)
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | ~ v14_lattices(sK0)
      | ~ l3_lattices(sK0) ),
    inference(forward_subsumption_resolution,[],[f525,f171]) ).

fof(f527,plain,
    ! [X0] :
      ( r3_lattices(sK0,X0,sF22)
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | ~ l3_lattices(sK0) ),
    inference(forward_subsumption_resolution,[],[f526,f174]) ).

fof(f528,plain,
    ! [X0] :
      ( r3_lattices(sK0,X0,sF22)
      | ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
    inference(forward_subsumption_resolution,[],[f527,f170]) ).

fof(f529,plain,
    ! [X0] :
      ( r3_lattices(sK0,X0,sF22)
      | ~ m1_subset_1(X0,sF20) ),
    inference(forward_demodulation,[],[f528,f263]) ).

fof(f580,plain,
    ( m2_lattice4(sF23,sK0)
    | v3_struct_0(sK0)
    | ~ v10_lattices(sK0)
    | ~ l3_lattices(sK0)
    | ~ m1_subset_1(sK1,u1_struct_0(sK0))
    | ~ m1_subset_1(sF22,u1_struct_0(sK0)) ),
    inference(superposition,[],[f192,f269]) ).

fof(f581,plain,
    ( m2_lattice4(sF23,sK0)
    | ~ v10_lattices(sK0)
    | ~ l3_lattices(sK0)
    | ~ m1_subset_1(sK1,u1_struct_0(sK0))
    | ~ m1_subset_1(sF22,u1_struct_0(sK0)) ),
    inference(forward_subsumption_resolution,[],[f580,f172]) ).

fof(f582,plain,
    ( m2_lattice4(sF23,sK0)
    | ~ l3_lattices(sK0)
    | ~ m1_subset_1(sK1,u1_struct_0(sK0))
    | ~ m1_subset_1(sF22,u1_struct_0(sK0)) ),
    inference(forward_subsumption_resolution,[],[f581,f171]) ).

fof(f583,plain,
    ( m2_lattice4(sF23,sK0)
    | ~ m1_subset_1(sK1,u1_struct_0(sK0))
    | ~ m1_subset_1(sF22,u1_struct_0(sK0)) ),
    inference(forward_subsumption_resolution,[],[f582,f170]) ).

fof(f584,plain,
    ( ~ m1_subset_1(sK1,sF20)
    | m2_lattice4(sF23,sK0)
    | ~ m1_subset_1(sF22,u1_struct_0(sK0)) ),
    inference(forward_demodulation,[],[f583,f263]) ).

fof(f585,plain,
    ( m2_lattice4(sF23,sK0)
    | ~ m1_subset_1(sF22,u1_struct_0(sK0)) ),
    inference(forward_subsumption_resolution,[],[f584,f271]) ).

fof(f586,plain,
    ( ~ m1_subset_1(sF22,sF20)
    | m2_lattice4(sF23,sK0) ),
    inference(forward_demodulation,[],[f585,f263]) ).

fof(f587,plain,
    m2_lattice4(sF23,sK0),
    inference(forward_subsumption_resolution,[],[f586,f345]) ).

fof(f591,plain,
    ! [X0] :
      ( ~ r2_hidden(X0,sF21)
      | m1_subset_1(X0,sF20) ),
    inference(resolution,[],[f438,f501]) ).

fof(f637,plain,
    ! [X0] :
      ( ~ r2_hidden(X0,sF23)
      | m1_subset_1(X0,sF20) ),
    inference(resolution,[],[f453,f587]) ).

fof(f658,plain,
    ! [X2,X0,X1] :
      ( ~ r3_lattices(X0,X1,sK19(X2,k2_filter_0(X0,X1)))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ m1_subset_1(sK19(X2,k2_filter_0(X0,X1)),u1_struct_0(X0))
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0)
      | k2_filter_0(X0,X1) = X2
      | ~ r2_hidden(sK19(X2,k2_filter_0(X0,X1)),X2) ),
    inference(resolution,[],[f245,f249]) ).

fof(f771,plain,
    ! [X0] :
      ( ~ r2_hidden(X0,sF23)
      | r3_lattices(sK0,sK1,X0)
      | ~ r3_lattices(sK0,sK1,sF22)
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | ~ m1_subset_1(sF22,u1_struct_0(sK0))
      | ~ m1_subset_1(sK1,u1_struct_0(sK0))
      | v3_struct_0(sK0)
      | ~ v10_lattices(sK0)
      | ~ l3_lattices(sK0) ),
    inference(superposition,[],[f255,f269]) ).

fof(f772,plain,
    ! [X0] :
      ( ~ r2_hidden(X0,sF23)
      | r3_lattices(sK0,sK1,X0)
      | ~ r3_lattices(sK0,sK1,sF22)
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | ~ m1_subset_1(sF22,u1_struct_0(sK0))
      | ~ m1_subset_1(sK1,u1_struct_0(sK0))
      | ~ v10_lattices(sK0)
      | ~ l3_lattices(sK0) ),
    inference(forward_subsumption_resolution,[],[f771,f172]) ).

fof(f773,plain,
    ! [X0] :
      ( ~ r2_hidden(X0,sF23)
      | r3_lattices(sK0,sK1,X0)
      | ~ r3_lattices(sK0,sK1,sF22)
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | ~ m1_subset_1(sF22,u1_struct_0(sK0))
      | ~ m1_subset_1(sK1,u1_struct_0(sK0))
      | ~ l3_lattices(sK0) ),
    inference(forward_subsumption_resolution,[],[f772,f171]) ).

fof(f774,plain,
    ! [X0] :
      ( ~ r2_hidden(X0,sF23)
      | r3_lattices(sK0,sK1,X0)
      | ~ r3_lattices(sK0,sK1,sF22)
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | ~ m1_subset_1(sF22,u1_struct_0(sK0))
      | ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
    inference(forward_subsumption_resolution,[],[f773,f170]) ).

fof(f775,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,sF20)
      | ~ r2_hidden(X0,sF23)
      | r3_lattices(sK0,sK1,X0)
      | ~ r3_lattices(sK0,sK1,sF22)
      | ~ m1_subset_1(sF22,u1_struct_0(sK0))
      | ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
    inference(forward_demodulation,[],[f774,f263]) ).

fof(f776,plain,
    ! [X0] :
      ( ~ r2_hidden(X0,sF23)
      | r3_lattices(sK0,sK1,X0)
      | ~ r3_lattices(sK0,sK1,sF22)
      | ~ m1_subset_1(sF22,u1_struct_0(sK0))
      | ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
    inference(forward_subsumption_resolution,[],[f775,f637]) ).

fof(f777,plain,
    ! [X0] :
      ( ~ m1_subset_1(sF22,sF20)
      | ~ r2_hidden(X0,sF23)
      | r3_lattices(sK0,sK1,X0)
      | ~ r3_lattices(sK0,sK1,sF22)
      | ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
    inference(forward_demodulation,[],[f776,f263]) ).

fof(f778,plain,
    ! [X0] :
      ( ~ r2_hidden(X0,sF23)
      | r3_lattices(sK0,sK1,X0)
      | ~ r3_lattices(sK0,sK1,sF22)
      | ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
    inference(forward_subsumption_resolution,[],[f777,f345]) ).

fof(f779,plain,
    ! [X0] :
      ( ~ m1_subset_1(sK1,sF20)
      | ~ r2_hidden(X0,sF23)
      | r3_lattices(sK0,sK1,X0)
      | ~ r3_lattices(sK0,sK1,sF22) ),
    inference(forward_demodulation,[],[f778,f263]) ).

fof(f780,plain,
    ! [X0] :
      ( ~ m1_subset_1(sK1,sF20)
      | ~ r2_hidden(X0,sF23)
      | r3_lattices(sK0,sK1,X0) ),
    inference(forward_subsumption_resolution,[],[f779,f529]) ).

fof(f781,plain,
    ! [X0] :
      ( r3_lattices(sK0,sK1,X0)
      | ~ r2_hidden(X0,sF23) ),
    inference(forward_subsumption_resolution,[],[f780,f271]) ).

fof(f801,plain,
    ! [X0] :
      ( r2_hidden(X0,sF23)
      | ~ r3_lattices(sK0,sK1,X0)
      | ~ r3_lattices(sK0,X0,sF22)
      | ~ r3_lattices(sK0,sK1,sF22)
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | ~ m1_subset_1(sF22,u1_struct_0(sK0))
      | ~ m1_subset_1(sK1,u1_struct_0(sK0))
      | v3_struct_0(sK0)
      | ~ v10_lattices(sK0)
      | ~ l3_lattices(sK0) ),
    inference(superposition,[],[f256,f269]) ).

fof(f804,plain,
    ! [X0] :
      ( r2_hidden(X0,sF23)
      | ~ r3_lattices(sK0,sK1,X0)
      | ~ r3_lattices(sK0,X0,sF22)
      | ~ r3_lattices(sK0,sK1,sF22)
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | ~ m1_subset_1(sF22,u1_struct_0(sK0))
      | ~ m1_subset_1(sK1,u1_struct_0(sK0))
      | ~ v10_lattices(sK0)
      | ~ l3_lattices(sK0) ),
    inference(forward_subsumption_resolution,[],[f801,f172]) ).

fof(f805,plain,
    ! [X0] :
      ( r2_hidden(X0,sF23)
      | ~ r3_lattices(sK0,sK1,X0)
      | ~ r3_lattices(sK0,X0,sF22)
      | ~ r3_lattices(sK0,sK1,sF22)
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | ~ m1_subset_1(sF22,u1_struct_0(sK0))
      | ~ m1_subset_1(sK1,u1_struct_0(sK0))
      | ~ l3_lattices(sK0) ),
    inference(forward_subsumption_resolution,[],[f804,f171]) ).

fof(f806,plain,
    ! [X0] :
      ( r2_hidden(X0,sF23)
      | ~ r3_lattices(sK0,sK1,X0)
      | ~ r3_lattices(sK0,X0,sF22)
      | ~ r3_lattices(sK0,sK1,sF22)
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | ~ m1_subset_1(sF22,u1_struct_0(sK0))
      | ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
    inference(forward_subsumption_resolution,[],[f805,f170]) ).

fof(f807,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,sF20)
      | r2_hidden(X0,sF23)
      | ~ r3_lattices(sK0,sK1,X0)
      | ~ r3_lattices(sK0,X0,sF22)
      | ~ r3_lattices(sK0,sK1,sF22)
      | ~ m1_subset_1(sF22,u1_struct_0(sK0))
      | ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
    inference(forward_demodulation,[],[f806,f263]) ).

fof(f808,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,sF20)
      | r2_hidden(X0,sF23)
      | ~ r3_lattices(sK0,sK1,X0)
      | ~ r3_lattices(sK0,sK1,sF22)
      | ~ m1_subset_1(sF22,u1_struct_0(sK0))
      | ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
    inference(forward_subsumption_resolution,[],[f807,f529]) ).

fof(f809,plain,
    ! [X0] :
      ( ~ m1_subset_1(sF22,sF20)
      | ~ m1_subset_1(X0,sF20)
      | r2_hidden(X0,sF23)
      | ~ r3_lattices(sK0,sK1,X0)
      | ~ r3_lattices(sK0,sK1,sF22)
      | ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
    inference(forward_demodulation,[],[f808,f263]) ).

fof(f810,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,sF20)
      | r2_hidden(X0,sF23)
      | ~ r3_lattices(sK0,sK1,X0)
      | ~ r3_lattices(sK0,sK1,sF22)
      | ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
    inference(forward_subsumption_resolution,[],[f809,f345]) ).

fof(f811,plain,
    ! [X0] :
      ( ~ m1_subset_1(sK1,sF20)
      | ~ m1_subset_1(X0,sF20)
      | r2_hidden(X0,sF23)
      | ~ r3_lattices(sK0,sK1,X0)
      | ~ r3_lattices(sK0,sK1,sF22) ),
    inference(forward_demodulation,[],[f810,f263]) ).

fof(f812,plain,
    ! [X0] :
      ( ~ m1_subset_1(sK1,sF20)
      | ~ m1_subset_1(X0,sF20)
      | r2_hidden(X0,sF23)
      | ~ r3_lattices(sK0,sK1,X0) ),
    inference(forward_subsumption_resolution,[],[f811,f529]) ).

fof(f813,plain,
    ! [X0] :
      ( ~ r3_lattices(sK0,sK1,X0)
      | r2_hidden(X0,sF23)
      | ~ m1_subset_1(X0,sF20) ),
    inference(forward_subsumption_resolution,[],[f812,f271]) ).

fof(f815,plain,
    k2_filter_2(sK0,sK1) = k2_filter_0(sK0,sK1),
    inference(resolution,[],[f517,f271]) ).

fof(f821,plain,
    sF21 = k2_filter_0(sK0,sK1),
    inference(forward_demodulation,[],[f815,f265]) ).

fof(f822,plain,
    ! [X0] :
      ( r2_hidden(X0,sF21)
      | ~ r3_lattices(sK0,sK1,X0)
      | ~ m1_subset_1(sK1,u1_struct_0(sK0))
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | v3_struct_0(sK0)
      | ~ v10_lattices(sK0)
      | ~ l3_lattices(sK0) ),
    inference(superposition,[],[f245,f821]) ).

fof(f823,plain,
    ! [X0] :
      ( ~ r2_hidden(X0,sF21)
      | r3_lattices(sK0,sK1,X0)
      | ~ m1_subset_1(sK1,u1_struct_0(sK0))
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | v3_struct_0(sK0)
      | ~ v10_lattices(sK0)
      | ~ l3_lattices(sK0) ),
    inference(superposition,[],[f244,f821]) ).

fof(f825,plain,
    ! [X0] :
      ( ~ r2_hidden(X0,sF21)
      | r3_lattices(sK0,sK1,X0)
      | ~ m1_subset_1(sK1,u1_struct_0(sK0))
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | ~ v10_lattices(sK0)
      | ~ l3_lattices(sK0) ),
    inference(forward_subsumption_resolution,[],[f823,f172]) ).

fof(f826,plain,
    ! [X0] :
      ( r2_hidden(X0,sF21)
      | ~ r3_lattices(sK0,sK1,X0)
      | ~ m1_subset_1(sK1,u1_struct_0(sK0))
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | ~ v10_lattices(sK0)
      | ~ l3_lattices(sK0) ),
    inference(forward_subsumption_resolution,[],[f822,f172]) ).

fof(f827,plain,
    ! [X0] :
      ( ~ r2_hidden(X0,sF21)
      | r3_lattices(sK0,sK1,X0)
      | ~ m1_subset_1(sK1,u1_struct_0(sK0))
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | ~ l3_lattices(sK0) ),
    inference(forward_subsumption_resolution,[],[f825,f171]) ).

fof(f828,plain,
    ! [X0] :
      ( r2_hidden(X0,sF21)
      | ~ r3_lattices(sK0,sK1,X0)
      | ~ m1_subset_1(sK1,u1_struct_0(sK0))
      | ~ m1_subset_1(X0,u1_struct_0(sK0))
      | ~ l3_lattices(sK0) ),
    inference(forward_subsumption_resolution,[],[f826,f171]) ).

fof(f829,plain,
    ! [X0] :
      ( ~ r2_hidden(X0,sF21)
      | r3_lattices(sK0,sK1,X0)
      | ~ m1_subset_1(sK1,u1_struct_0(sK0))
      | ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
    inference(forward_subsumption_resolution,[],[f827,f170]) ).

fof(f830,plain,
    ! [X0] :
      ( r2_hidden(X0,sF21)
      | ~ r3_lattices(sK0,sK1,X0)
      | ~ m1_subset_1(sK1,u1_struct_0(sK0))
      | ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
    inference(forward_subsumption_resolution,[],[f828,f170]) ).

fof(f831,plain,
    ! [X0] :
      ( ~ m1_subset_1(sK1,sF20)
      | ~ r2_hidden(X0,sF21)
      | r3_lattices(sK0,sK1,X0)
      | ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
    inference(forward_demodulation,[],[f829,f263]) ).

fof(f832,plain,
    ! [X0] :
      ( ~ m1_subset_1(sK1,sF20)
      | r2_hidden(X0,sF21)
      | ~ r3_lattices(sK0,sK1,X0)
      | ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
    inference(forward_demodulation,[],[f830,f263]) ).

fof(f833,plain,
    ! [X0] :
      ( ~ r2_hidden(X0,sF21)
      | r3_lattices(sK0,sK1,X0)
      | ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
    inference(forward_subsumption_resolution,[],[f831,f271]) ).

fof(f834,plain,
    ! [X0] :
      ( r2_hidden(X0,sF21)
      | ~ r3_lattices(sK0,sK1,X0)
      | ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
    inference(forward_subsumption_resolution,[],[f832,f271]) ).

fof(f835,plain,
    ! [X0] :
      ( ~ m1_subset_1(X0,sF20)
      | ~ r2_hidden(X0,sF21)
      | r3_lattices(sK0,sK1,X0) ),
    inference(forward_demodulation,[],[f833,f263]) ).

fof(f836,plain,
    ! [X0] :
      ( ~ r3_lattices(sK0,sK1,X0)
      | r2_hidden(X0,sF21)
      | ~ m1_subset_1(X0,sF20) ),
    inference(forward_demodulation,[],[f834,f263]) ).

fof(f837,plain,
    ! [X0] :
      ( r3_lattices(sK0,sK1,X0)
      | ~ r2_hidden(X0,sF21) ),
    inference(forward_subsumption_resolution,[],[f835,f591]) ).

fof(f997,plain,
    ! [X0] :
      ( ~ r2_hidden(X0,sF21)
      | r2_hidden(X0,sF23)
      | ~ m1_subset_1(X0,sF20) ),
    inference(resolution,[],[f837,f813]) ).

fof(f1000,plain,
    ! [X0] :
      ( ~ r2_hidden(X0,sF21)
      | r2_hidden(X0,sF23) ),
    inference(forward_subsumption_resolution,[],[f997,f591]) ).

fof(f2478,plain,
    ! [X0] :
      ( ~ m1_subset_1(sK1,u1_struct_0(sK0))
      | ~ m1_subset_1(sK19(X0,k2_filter_0(sK0,sK1)),u1_struct_0(sK0))
      | v3_struct_0(sK0)
      | ~ v10_lattices(sK0)
      | ~ l3_lattices(sK0)
      | k2_filter_0(sK0,sK1) = X0
      | ~ r2_hidden(sK19(X0,k2_filter_0(sK0,sK1)),X0)
      | ~ r2_hidden(sK19(X0,k2_filter_0(sK0,sK1)),sF23) ),
    inference(resolution,[],[f658,f781]) ).

fof(f2481,plain,
    ! [X0] :
      ( ~ m1_subset_1(sK1,u1_struct_0(sK0))
      | ~ m1_subset_1(sK19(X0,k2_filter_0(sK0,sK1)),u1_struct_0(sK0))
      | ~ v10_lattices(sK0)
      | ~ l3_lattices(sK0)
      | k2_filter_0(sK0,sK1) = X0
      | ~ r2_hidden(sK19(X0,k2_filter_0(sK0,sK1)),X0)
      | ~ r2_hidden(sK19(X0,k2_filter_0(sK0,sK1)),sF23) ),
    inference(forward_subsumption_resolution,[],[f2478,f172]) ).

fof(f2484,plain,
    ! [X0] :
      ( ~ m1_subset_1(sK1,u1_struct_0(sK0))
      | ~ m1_subset_1(sK19(X0,k2_filter_0(sK0,sK1)),u1_struct_0(sK0))
      | ~ l3_lattices(sK0)
      | k2_filter_0(sK0,sK1) = X0
      | ~ r2_hidden(sK19(X0,k2_filter_0(sK0,sK1)),X0)
      | ~ r2_hidden(sK19(X0,k2_filter_0(sK0,sK1)),sF23) ),
    inference(forward_subsumption_resolution,[],[f2481,f171]) ).

fof(f2487,plain,
    ! [X0] :
      ( ~ m1_subset_1(sK1,u1_struct_0(sK0))
      | ~ m1_subset_1(sK19(X0,k2_filter_0(sK0,sK1)),u1_struct_0(sK0))
      | k2_filter_0(sK0,sK1) = X0
      | ~ r2_hidden(sK19(X0,k2_filter_0(sK0,sK1)),X0)
      | ~ r2_hidden(sK19(X0,k2_filter_0(sK0,sK1)),sF23) ),
    inference(forward_subsumption_resolution,[],[f2484,f170]) ).

fof(f2490,plain,
    ! [X0] :
      ( ~ m1_subset_1(sK1,sF20)
      | ~ m1_subset_1(sK19(X0,k2_filter_0(sK0,sK1)),u1_struct_0(sK0))
      | k2_filter_0(sK0,sK1) = X0
      | ~ r2_hidden(sK19(X0,k2_filter_0(sK0,sK1)),X0)
      | ~ r2_hidden(sK19(X0,k2_filter_0(sK0,sK1)),sF23) ),
    inference(forward_demodulation,[],[f2487,f263]) ).

fof(f2493,plain,
    ! [X0] :
      ( ~ m1_subset_1(sK19(X0,k2_filter_0(sK0,sK1)),u1_struct_0(sK0))
      | k2_filter_0(sK0,sK1) = X0
      | ~ r2_hidden(sK19(X0,k2_filter_0(sK0,sK1)),X0)
      | ~ r2_hidden(sK19(X0,k2_filter_0(sK0,sK1)),sF23) ),
    inference(forward_subsumption_resolution,[],[f2490,f271]) ).

fof(f2496,plain,
    ! [X0] :
      ( ~ m1_subset_1(sK19(X0,k2_filter_0(sK0,sK1)),sF20)
      | k2_filter_0(sK0,sK1) = X0
      | ~ r2_hidden(sK19(X0,k2_filter_0(sK0,sK1)),X0)
      | ~ r2_hidden(sK19(X0,k2_filter_0(sK0,sK1)),sF23) ),
    inference(forward_demodulation,[],[f2493,f263]) ).

fof(f2498,plain,
    ! [X0] :
      ( k2_filter_0(sK0,sK1) = X0
      | ~ r2_hidden(sK19(X0,k2_filter_0(sK0,sK1)),X0)
      | ~ r2_hidden(sK19(X0,k2_filter_0(sK0,sK1)),sF23) ),
    inference(forward_subsumption_resolution,[],[f2496,f637]) ).

fof(f2500,plain,
    ! [X0] :
      ( sF21 = X0
      | ~ r2_hidden(sK19(X0,k2_filter_0(sK0,sK1)),X0)
      | ~ r2_hidden(sK19(X0,k2_filter_0(sK0,sK1)),sF23) ),
    inference(forward_demodulation,[],[f2498,f821]) ).

fof(f2502,plain,
    ! [X0] :
      ( ~ r2_hidden(sK19(X0,sF21),X0)
      | sF21 = X0
      | ~ r2_hidden(sK19(X0,k2_filter_0(sK0,sK1)),sF23) ),
    inference(forward_demodulation,[],[f2500,f821]) ).

fof(f2504,plain,
    ! [X0] :
      ( ~ r2_hidden(sK19(X0,sF21),sF23)
      | ~ r2_hidden(sK19(X0,sF21),X0)
      | sF21 = X0 ),
    inference(forward_demodulation,[],[f2502,f821]) ).

fof(f2737,plain,
    ! [X0] :
      ( r2_hidden(X0,sF21)
      | ~ m1_subset_1(X0,sF20)
      | ~ r2_hidden(X0,sF23) ),
    inference(resolution,[],[f836,f781]) ).

fof(f2749,plain,
    ! [X0] :
      ( ~ r2_hidden(X0,sF23)
      | r2_hidden(X0,sF21) ),
    inference(forward_subsumption_resolution,[],[f2737,f637]) ).

fof(f3007,plain,
    ! [X0] :
      ( r2_hidden(sK19(sF23,X0),sF21)
      | sF23 = X0
      | ~ v1_xboole_0(X0) ),
    inference(resolution,[],[f2749,f407]) ).

fof(f3117,plain,
    ( ~ r2_hidden(sK19(sF23,sF21),sF23)
    | sF21 = sF23
    | m1_subset_1(sK19(sF23,sF21),sF21)
    | sF21 = sF23 ),
    inference(resolution,[],[f2504,f405]) ).

fof(f3122,plain,
    ( ~ r2_hidden(sK19(sF23,sF21),sF23)
    | sF21 = sF23
    | m1_subset_1(sK19(sF23,sF21),sF21) ),
    inference(duplicate_literal_removal,[],[f3117]) ).

fof(f3124,plain,
    ( m1_subset_1(sK19(sF23,sF21),sF21)
    | sF21 = sF23 ),
    inference(forward_subsumption_resolution,[],[f3122,f405]) ).

fof(f3220,plain,
    ( sF21 = sF23
    | r2_hidden(sK19(sF23,sF21),sF21)
    | v1_xboole_0(sF21) ),
    inference(resolution,[],[f3124,f247]) ).

fof(f3221,plain,
    ( r2_hidden(sK19(sF23,sF21),sF21)
    | sF21 = sF23 ),
    inference(forward_subsumption_resolution,[],[f3220,f3007]) ).

fof(f3231,plain,
    ( sF21 = sF23
    | sF21 = sF23
    | ~ r2_hidden(sK19(sF23,sF21),sF23) ),
    inference(resolution,[],[f3221,f249]) ).

fof(f3234,plain,
    ( sF21 = sF23
    | r2_hidden(sK19(sF23,sF21),sF23) ),
    inference(resolution,[],[f3221,f1000]) ).

fof(f3239,plain,
    ( sF21 = sF23
    | ~ r2_hidden(sK19(sF23,sF21),sF23) ),
    inference(duplicate_literal_removal,[],[f3231]) ).

fof(f3240,plain,
    sF21 = sF23,
    inference(forward_subsumption_resolution,[],[f3239,f3234]) ).

fof(f3251,plain,
    ~ r1_filter_2(sF20,sF21,sF21),
    inference(superposition,[],[f270,f3240]) ).

fof(f3339,plain,
    ~ m1_filter_0(sF21,sK0),
    inference(resolution,[],[f3251,f442]) ).

fof(f3342,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f3339,f501]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LAT329+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38  % Computer : n014.cluster.edu
% 0.13/0.38  % Model    : x86_64 x86_64
% 0.13/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38  % Memory   : 8046.5625MB
% 0.13/0.38  % OS       : Linux 6.8.0-71-generic
% 0.13/0.38  % CPULimit : 300
% 0.13/0.38  % WCLimit  : 300
% 0.13/0.38  % DateTime : Sun Sep 27 14:41:02 UTC 2026
% 0.13/0.39  % CPUTime  : 
% 0.13/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42  Running first-order model finding
% 0.13/0.42  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.16/4.41  % (877519)Will run a generic schedule for satisfiability detection.
% 28.16/4.41  % (877527)dis+10_1_sil=32000:sp=arity:random_seed=155060161:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 28.16/4.41  % (877525)% WARNING: option uhcvi not known.
% 28.16/4.41  % (877524)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=985974666_2999 on theBenchmark for (2999ds/0Mi)
% 28.16/4.41  % (877525)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3068187189:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 28.16/4.41  % (877526)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=625192424:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 28.16/4.41  % (877528)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=432361966:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 28.16/4.41  % (877530)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3385327180:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 28.16/4.41  % (877529)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1738255348:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 28.16/4.41  % TRYING [1]
% 28.16/4.41  % TRYING [2]
% 28.16/4.41  % TRYING [3]
% 28.16/4.41  % TRYING [4]
% 28.16/4.41  % (877527)Instruction limit reached! 
% 28.16/4.41  % (877527)------------------------------
% 28.16/4.41  % (877527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.16/4.41  % (877527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.16/4.41  % (877527)CaDiCaL version: 2.1.3
% 28.16/4.41  % (877527)Termination reason: Instruction limit
% 28.16/4.41  % (877527)Termination phase: Saturation
% 28.16/4.41  % (877527)Time elapsed: 0.035 s
% 28.16/4.41  % (877527)Peak memory usage: 12 MB
% 28.16/4.41  % (877527)Instructions burned: 103 (million)
% 28.16/4.41  % TRYING [5]
% 28.16/4.41  % (877538)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3968032140:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 28.16/4.41  % TRYING [1]
% 28.16/4.41  % TRYING [2]
% 28.16/4.41  % TRYING [3]
% 28.16/4.41  % TRYING [4]
% 28.16/4.41  % TRYING [5]
% 28.16/4.41  % (877528)Instruction limit reached! 
% 28.16/4.41  % (877528)------------------------------
% 28.16/4.41  % (877528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.16/4.41  % (877528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.16/4.41  % (877528)CaDiCaL version: 2.1.3
% 28.16/4.41  % (877528)Termination reason: Instruction limit
% 28.16/4.41  % (877528)Termination phase: Saturation
% 28.16/4.41  % (877528)Time elapsed: 0.071 s
% 28.16/4.41  % (877528)Peak memory usage: 13 MB
% 28.16/4.41  % (877528)Instructions burned: 116 (million)
% 28.16/4.41  % (877529)Instruction limit reached! 
% 28.16/4.41  % (877529)------------------------------
% 28.16/4.41  % (877529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.16/4.41  % (877529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.16/4.41  % (877529)CaDiCaL version: 2.1.3
% 28.16/4.41  % (877529)Termination reason: Instruction limit
% 28.16/4.41  % (877529)Termination phase: Saturation
% 28.16/4.41  % (877529)Time elapsed: 0.084 s
% 28.16/4.41  % (877529)Peak memory usage: 13 MB
% 28.16/4.41  % (877529)Instructions burned: 132 (million)
% 28.16/4.41  % TRYING [6]
% 28.16/4.41  % TRYING [6]
% 28.16/4.41  % (877540)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4094732855:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 28.16/4.41  % (877530)Instruction limit reached! 
% 28.16/4.41  % (877530)------------------------------
% 28.16/4.41  % (877530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.16/4.41  % (877530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.16/4.41  % (877530)CaDiCaL version: 2.1.3
% 28.16/4.41  % (877530)Termination reason: Instruction limit
% 28.16/4.41  % (877530)Termination phase: Saturation
% 28.16/4.41  % (877530)Time elapsed: 0.101 s
% 28.16/4.41  % (877530)Peak memory usage: 13 MB
% 28.16/4.41  % (877530)Instructions burned: 159 (million)
% 28.16/4.41  % (877541)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3090570587:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 28.16/4.41  % (877543)ott-21_1_sil=16000:fs=off:random_seed=518671823:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 28.16/4.41  % (877540)Instruction limit reached! 
% 28.16/4.41  % (877540)------------------------------
% 28.16/4.41  % (877540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.16/4.41  % (877540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/5.40  % (877540)CaDiCaL version: 2.1.3
% 15.96/5.40  % (877540)Termination reason: Instruction limit
% 15.96/5.40  % (877540)Termination phase: Saturation
% 15.96/5.40  % (877540)Time elapsed: 0.088 s
% 15.96/5.40  % (877540)Peak memory usage: 14 MB
% 15.96/5.40  % (877540)Instructions burned: 132 (million)
% 15.96/5.40  % TRYING [7]
% 15.96/5.40  % (877538)Instruction limit reached! 
% 15.96/5.40  % (877538)------------------------------
% 15.96/5.40  % (877538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/5.40  % (877538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/5.40  % (877538)CaDiCaL version: 2.1.3
% 15.96/5.40  % (877538)Termination reason: Instruction limit
% 15.96/5.40  % (877538)Termination phase: Finite model building constraint generation
% 15.96/5.40  % (877538)Time elapsed: 0.159 s
% 15.96/5.40  % (877538)Peak memory usage: 28 MB
% 15.96/5.40  % (877538)Instructions burned: 718 (million)
% 15.96/5.40  % (877546)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3473972723:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 15.96/5.40  % (877547)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1654052316:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 15.96/5.40  % TRYING [1]
% 15.96/5.40  % TRYING [2]
% 15.96/5.40  % TRYING [3]
% 15.96/5.40  % (877543)Instruction limit reached! 
% 15.96/5.40  % (877543)------------------------------
% 15.96/5.40  % (877543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/5.40  % (877543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/5.40  % (877543)CaDiCaL version: 2.1.3
% 15.96/5.40  % (877543)Termination reason: Instruction limit
% 15.96/5.40  % (877543)Termination phase: Saturation
% 15.96/5.40  % (877543)Time elapsed: 0.098 s
% 15.96/5.40  % (877543)Peak memory usage: 13 MB
% 15.96/5.40  % (877543)Instructions burned: 180 (million)
% 15.96/5.40  % TRYING [4]
% 15.96/5.40  % TRYING [7]
% 15.96/5.40  % (877550)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1826807491:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 15.96/5.40  % TRYING [5]
% 15.96/5.40  % TRYING [6]
% 15.96/5.40  % (877547)Instruction limit reached! 
% 15.96/5.40  % (877547)------------------------------
% 15.96/5.40  % (877547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/5.40  % (877547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/5.40  % (877547)CaDiCaL version: 2.1.3
% 15.96/5.40  % (877547)Termination reason: Instruction limit
% 15.96/5.40  % (877547)Termination phase: Finite model building SAT solving
% 15.96/5.40  % (877547)Time elapsed: 0.180 s
% 15.96/5.40  % (877547)Peak memory usage: 24 MB
% 15.96/5.40  % (877547)Instructions burned: 865 (million)
% 15.96/5.40  % (877552)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2542760623:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 15.96/5.40  % TRYING [14]
% 15.96/5.40  % (877541)Instruction limit reached! 
% 15.96/5.40  % (877541)------------------------------
% 15.96/5.40  % (877541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/5.40  % (877541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/5.40  % (877541)CaDiCaL version: 2.1.3
% 15.96/5.40  % (877541)Termination reason: Instruction limit
% 15.96/5.40  % (877541)Termination phase: Saturation
% 15.96/5.40  % (877541)Time elapsed: 0.404 s
% 15.96/5.40  % (877541)Peak memory usage: 20 MB
% 15.96/5.40  % (877541)Instructions burned: 684 (million)
% 15.96/5.40  % (877554)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2397744669:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 15.96/5.40  % (877546)Instruction limit reached! 
% 15.96/5.40  % (877546)------------------------------
% 15.96/5.40  % (877546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/5.40  % (877546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/5.40  % (877546)CaDiCaL version: 2.1.3
% 15.96/5.40  % (877546)Termination reason: Instruction limit
% 15.96/5.40  % (877546)Termination phase: Saturation
% 15.96/5.40  % (877546)Time elapsed: 0.328 s
% 15.96/5.40  % (877546)Peak memory usage: 15 MB
% 15.96/5.40  % (877546)Instructions burned: 477 (million)
% 15.96/5.40  % (877556)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1448884954:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 15.96/5.40  % (877552)Instruction limit reached! 
% 15.96/5.40  % (877552)------------------------------
% 15.96/5.40  % (877552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/5.40  % (877552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/5.40  % (877552)CaDiCaL version: 2.1.3
% 15.96/5.40  % (877552)Termination reason: Instruction limit
% 15.96/5.40  % (877552)Termination phase: Finite model building constraint generation
% 15.96/5.40  % (877552)Time elapsed: 0.168 s
% 15.96/5.40  % (877552)Peak memory usage: 60 MB
% 15.96/5.40  % (877552)Instructions burned: 896 (million)
% 15.96/5.40  % (877558)fmb+10_1_sil=64000:random_seed=1110798179:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 15.96/5.40  % TRYING [1]
% 15.96/5.40  % TRYING [2]
% 15.96/5.40  % TRYING [3]
% 15.96/5.40  % TRYING [4]
% 15.96/5.40  % TRYING [5]
% 15.96/5.40  % TRYING [6]
% 15.96/5.40  % TRYING [7]
% 15.96/5.40  % TRYING [8]
% 15.96/5.40  % (877554)Instruction limit reached! 
% 15.96/5.40  % (877554)------------------------------
% 15.96/5.40  % (877554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/5.40  % (877554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/5.40  % (877554)CaDiCaL version: 2.1.3
% 15.96/5.40  % (877554)Termination reason: Instruction limit
% 15.96/5.40  % (877554)Termination phase: Saturation
% 15.96/5.40  % (877554)Time elapsed: 0.382 s
% 15.96/5.40  % (877554)Peak memory usage: 19 MB
% 15.96/5.40  % (877554)Instructions burned: 692 (million)
% 15.96/5.40  % (877550)Instruction limit reached! 
% 15.96/5.40  % (877550)------------------------------
% 15.96/5.40  % (877550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/5.40  % (877550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/5.40  % (877550)CaDiCaL version: 2.1.3
% 15.96/5.40  % (877550)Termination reason: Instruction limit
% 15.96/5.40  % (877550)Termination phase: Saturation
% 15.96/5.40  % (877550)Time elapsed: 0.681 s
% 15.96/5.40  % (877550)Peak memory usage: 21 MB
% 15.96/5.40  % (877550)Instructions burned: 1180 (million)
% 15.96/5.40  % (877560)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=639619635:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 15.96/5.40  % TRYING [20]
% 15.96/5.40  % (877561)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3880600989:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 15.96/5.40  % TRYING [8]
% 15.96/5.40  % (877556)Instruction limit reached! 
% 15.96/5.40  % (877556)------------------------------
% 15.96/5.40  % (877556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/5.40  % (877556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/5.40  % (877556)CaDiCaL version: 2.1.3
% 15.96/5.40  % (877556)Termination reason: Instruction limit
% 15.96/5.40  % (877556)Termination phase: Saturation
% 15.96/5.40  % (877556)Time elapsed: 0.504 s
% 15.96/5.40  % (877556)Peak memory usage: 18 MB
% 15.96/5.40  % (877556)Instructions burned: 879 (million)
% 15.96/5.40  % (877564)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2531040264:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 15.96/5.40  % TRYING [8]
% 15.96/5.40  % (877561)Instruction limit reached! 
% 15.96/5.40  % (877561)------------------------------
% 15.96/5.40  % (877561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/5.40  % (877561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/5.40  % (877561)CaDiCaL version: 2.1.3
% 15.96/5.40  % (877561)Termination reason: Instruction limit
% 15.96/5.40  % (877561)Termination phase: Finite model building SAT solving
% 15.96/5.40  % (877561)Time elapsed: 0.406 s
% 15.96/5.40  % (877561)Peak memory usage: 51 MB
% 15.96/5.40  % (877561)Instructions burned: 921 (million)
% 15.96/5.40  % (877566)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2833875082:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 15.96/5.40  % (877566)Instruction limit reached! 
% 15.96/5.40  % (877566)------------------------------
% 15.96/5.40  % (877566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/5.40  % (877566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/5.40  % (877566)CaDiCaL version: 2.1.3
% 15.96/5.40  % (877566)Termination reason: Instruction limit
% 15.96/5.40  % (877566)Termination phase: Saturation
% 15.96/5.40  % (877566)Time elapsed: 0.823 s
% 15.96/5.40  % (877566)Peak memory usage: 40 MB
% 15.96/5.40  % (877566)Instructions burned: 1473 (million)
% 15.96/5.40  % (877568)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3057670545:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 15.96/5.40  % TRYING [77]
% 15.96/5.40  % TRYING [9]
% 15.96/5.40  % (877564)Instruction limit reached! 
% 15.96/5.40  % (877564)------------------------------
% 15.96/5.40  % (877564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/5.40  % (877564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/5.40  % (877564)CaDiCaL version: 2.1.3
% 15.96/5.40  % (877564)Termination reason: Instruction limit
% 15.96/5.40  % (877564)Termination phase: Saturation
% 15.96/5.40  % (877564)Time elapsed: 2.870 s
% 15.96/5.40  % (877564)Peak memory usage: 23 MB
% 15.96/5.40  % (877564)Instructions burned: 5132 (million)
% 15.96/5.40  % (877570)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2448230495:fmbsr=2.30978:i=2174_2960 on theBenchmark for (2960ds/2174Mi)
% 15.96/5.40  % TRYING [16]
% 15.96/5.40  % (877568)Instruction limit reached! 
% 15.96/5.40  % (877568)------------------------------
% 15.96/5.40  % (877568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/5.40  % (877568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/5.40  % (877568)CaDiCaL version: 2.1.3
% 15.96/5.40  % (877568)Termination reason: Instruction limit
% 15.96/5.40  % (877568)Termination phase: Finite model building constraint generation
% 15.96/5.40  % (877568)Time elapsed: 2.044 s
% 15.96/5.40  % (877568)Peak memory usage: 340 MB
% 15.96/5.40  % (877568)Instructions burned: 6326 (million)
% 15.96/5.40  % (877572)ott-2_1_sil=16000:newcnf=on:random_seed=3347682435:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2956 on theBenchmark for (2956ds/869Mi)
% 15.96/5.40  % (877570)Instruction limit reached! 
% 15.96/5.40  % (877570)------------------------------
% 15.96/5.40  % (877570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/5.40  % (877570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/5.40  % (877570)CaDiCaL version: 2.1.3
% 15.96/5.40  % (877570)Termination reason: Instruction limit
% 15.96/5.40  % (877570)Termination phase: Finite model building constraint generation
% 15.96/5.40  % (877570)Time elapsed: 0.732 s
% 15.96/5.40  % (877570)Peak memory usage: 133 MB
% 15.96/5.40  % (877570)Instructions burned: 2177 (million)
% 15.96/5.40  % (877574)ott+10_1_sil=32000:tgt=ground:random_seed=4286828673:i=5114:av=off_2952 on theBenchmark for (2952ds/5114Mi)
% 15.96/5.40  % (877572)Instruction limit reached! 
% 15.96/5.40  % (877572)------------------------------
% 15.96/5.40  % (877572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/5.40  % (877572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/5.40  % (877572)CaDiCaL version: 2.1.3
% 15.96/5.40  % (877572)Termination reason: Instruction limit
% 15.96/5.40  % (877572)Termination phase: Saturation
% 15.96/5.40  % (877572)Time elapsed: 0.513 s
% 15.96/5.40  % (877572)Peak memory usage: 17 MB
% 15.96/5.40  % (877572)Instructions burned: 871 (million)
% 15.96/5.40  % (877574) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-877519-877574"...
% 15.96/5.40  % (877574)...printing done.
% 15.96/5.40  % (877574)Refutation found. Thanks to Tanya!
% 15.96/5.40  % SZS status Theorem for theBenchmark
% 15.96/5.40  % SZS output start Proof for theBenchmark
% See solution above
% 15.96/5.41  % (877574)------------------------------
% 15.96/5.41  % (877574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/5.41  % (877574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/5.41  % (877574)CaDiCaL version: 2.1.3
% 15.96/5.41  % (877574)Termination reason: Refutation
% 15.96/5.41  % (877574)Time elapsed: 0.119 s
% 15.96/5.41  % (877574)Peak memory usage: 14 MB
% 15.96/5.41  % (877574)Instructions burned: 198 (million)
% 15.96/5.41  % (877519)Success in time 4.974 s
% 15.96/5.41  % Vampire exiting
%------------------------------------------------------------------------------