TSTP Solution File: LAT306+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LAT306+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 06:17:35 EDT 2023

% Result   : Timeout 287.48s 38.40s
% Output   : None 
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f521)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ( v14_lattices(X0)
       => r1_filter_2(u1_struct_0(X0),k17_filter_2(X0),k18_filter_2(X0,k6_lattices(X0))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_filter_2) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( l3_lattices(X0)
          & v10_lattices(X0)
          & ~ v3_struct_0(X0) )
       => ( v14_lattices(X0)
         => r1_filter_2(u1_struct_0(X0),k17_filter_2(X0),k18_filter_2(X0,k6_lattices(X0))) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,axiom,
    ! [X0] :
      ( l3_lattices(X0)
     => ( v3_lattices(X0)
       => g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v3_lattices) ).

fof(f6,axiom,
    ! [X0] :
      ( l3_lattices(X0)
     => ( ( v10_lattices(X0)
          & ~ v3_struct_0(X0) )
       => ( v9_lattices(X0)
          & v8_lattices(X0)
          & v7_lattices(X0)
          & v6_lattices(X0)
          & v5_lattices(X0)
          & v4_lattices(X0)
          & ~ v3_struct_0(X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).

fof(f12,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => u1_struct_0(X0) = k1_filter_0(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_filter_0) ).

fof(f13,axiom,
    ! [X0] :
      ( l3_lattices(X0)
     => k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_lattice2) ).

fof(f15,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,u1_struct_0(X0))
         => k5_filter_2(X0,X1) = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_filter_2) ).

fof(f16,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => u1_struct_0(X0) = k17_filter_2(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_filter_2) ).

fof(f19,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => m2_filter_2(k17_filter_2(X0),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k17_filter_2) ).

fof(f21,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => m1_filter_0(k1_filter_0(X0),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_filter_0) ).

fof(f23,axiom,
    ! [X0] :
      ( l3_lattices(X0)
     => ( l3_lattices(k1_lattice2(X0))
        & v3_lattices(k1_lattice2(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).

fof(f29,axiom,
    ! [X0,X1] :
      ( ( m1_subset_1(X1,u1_struct_0(X0))
        & l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_filter_2) ).

fof(f30,axiom,
    ! [X0] :
      ( ( l1_lattices(X0)
        & ~ v3_struct_0(X0) )
     => m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_lattices) ).

fof(f31,axiom,
    ! [X0] :
      ( ( l2_lattices(X0)
        & ~ v3_struct_0(X0) )
     => m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_lattices) ).

fof(f32,axiom,
    ! [X0] :
      ( l1_lattices(X0)
     => l1_struct_0(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_lattices) ).

fof(f35,axiom,
    ! [X0] :
      ( l3_lattices(X0)
     => ( l2_lattices(X0)
        & l1_lattices(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).

fof(f36,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_filter_0(X1,X0)
         => ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
            & ~ v1_xboole_0(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_filter_0) ).

fof(f40,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m2_filter_2(X1,X0)
         => ( m2_lattice4(X1,X0)
            & ~ v1_xboole_0(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).

fof(f41,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(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(f43,axiom,
    ! [X0] :
      ( l1_lattices(X0)
     => ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
        & v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
        & v1_funct_1(u1_lattices(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_lattices) ).

fof(f45,axiom,
    ! [X0] :
      ( l2_lattices(X0)
     => ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
        & v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
        & v1_funct_1(u2_lattices(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u2_lattices) ).

fof(f58,axiom,
    ! [X0] :
      ( ( l1_struct_0(X0)
        & ~ v3_struct_0(X0) )
     => ~ v1_xboole_0(u1_struct_0(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).

fof(f67,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ( v10_lattices(k1_lattice2(X0))
        & v9_lattices(k1_lattice2(X0))
        & v8_lattices(k1_lattice2(X0))
        & v7_lattices(k1_lattice2(X0))
        & v6_lattices(k1_lattice2(X0))
        & v5_lattices(k1_lattice2(X0))
        & v4_lattices(k1_lattice2(X0))
        & v3_lattices(k1_lattice2(X0))
        & ~ v3_struct_0(k1_lattice2(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).

fof(f68,axiom,
    ! [X0,X1,X2] :
      ( ( m1_subset_1(X2,u1_struct_0(X1))
        & l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => ( r2_hidden(X0,a_2_0_filter_0(X1,X2))
      <=> ? [X3] :
            ( r3_lattices(X1,X2,X3)
            & X0 = X3
            & m1_subset_1(X3,u1_struct_0(X1)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_2_0_filter_0) ).

fof(f70,axiom,
    ! [X0,X1,X2] :
      ( ( m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
        & v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
        & v1_funct_1(X2)
        & m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
        & v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
        & v1_funct_1(X1) )
     => ! [X3,X4,X5] :
          ( g3_lattices(X0,X1,X2) = g3_lattices(X3,X4,X5)
         => ( X2 = X5
            & X1 = X4
            & X0 = X3 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g3_lattices) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ( m1_subset_1(X1,u1_struct_0(X0))
        & l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => k2_filter_0(X0,X1) = k2_filter_2(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_filter_2) ).

fof(f88,axiom,
    ! [X0,X1,X2] :
      ( m2_relset_1(X2,X0,X1)
    <=> m1_relset_1(X2,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).

fof(f93,axiom,
    ! [X0,X1,X2] :
      ( ( m1_subset_1(X2,u1_struct_0(X0))
        & m1_subset_1(X1,u1_struct_0(X0))
        & l3_lattices(X0)
        & v9_lattices(X0)
        & v8_lattices(X0)
        & v6_lattices(X0)
        & ~ v3_struct_0(X0) )
     => r3_lattices(X0,X1,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r3_lattices) ).

fof(f95,axiom,
    ! [X0,X1] :
      ( r2_hidden(X0,X1)
     => m1_subset_1(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).

fof(f97,axiom,
    ! [X0,X1] :
      ( m1_subset_1(X0,X1)
     => ( r2_hidden(X0,X1)
        | v1_xboole_0(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).

fof(f99,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,u1_struct_0(X0))
         => ( k2_filter_2(X0,X1) = k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
            & k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_filter_2) ).

fof(f103,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ( v14_lattices(X0)
      <=> v13_lattices(k1_lattice2(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_lattice2) ).

fof(f105,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v14_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => k6_lattices(X0) = k5_lattices(k1_lattice2(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t79_lattice2) ).

fof(f120,plain,
    ? [X0] :
      ( ~ r1_filter_2(u1_struct_0(X0),k17_filter_2(X0),k18_filter_2(X0,k6_lattices(X0)))
      & v14_lattices(X0)
      & l3_lattices(X0)
      & v10_lattices(X0)
      & ~ v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f121,plain,
    ? [X0] :
      ( ~ r1_filter_2(u1_struct_0(X0),k17_filter_2(X0),k18_filter_2(X0,k6_lattices(X0)))
      & v14_lattices(X0)
      & l3_lattices(X0)
      & v10_lattices(X0)
      & ~ v3_struct_0(X0) ),
    inference(flattening,[],[f120]) ).

fof(f122,plain,
    ! [X0] :
      ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
      | ~ v3_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f123,plain,
    ! [X0] :
      ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
      | ~ v3_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f122]) ).

fof(f126,plain,
    ! [X0] :
      ( ( v9_lattices(X0)
        & v8_lattices(X0)
        & v7_lattices(X0)
        & v6_lattices(X0)
        & v5_lattices(X0)
        & v4_lattices(X0)
        & ~ v3_struct_0(X0) )
      | ~ v10_lattices(X0)
      | v3_struct_0(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f127,plain,
    ! [X0] :
      ( ( v9_lattices(X0)
        & v8_lattices(X0)
        & v7_lattices(X0)
        & v6_lattices(X0)
        & v5_lattices(X0)
        & v4_lattices(X0)
        & ~ v3_struct_0(X0) )
      | ~ v10_lattices(X0)
      | v3_struct_0(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f126]) ).

fof(f137,plain,
    ! [X0] :
      ( u1_struct_0(X0) = k1_filter_0(X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f138,plain,
    ! [X0] :
      ( u1_struct_0(X0) = k1_filter_0(X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f137]) ).

fof(f139,plain,
    ! [X0] :
      ( k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f142,plain,
    ! [X0] :
      ( ! [X1] :
          ( k5_filter_2(X0,X1) = X1
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f143,plain,
    ! [X0] :
      ( ! [X1] :
          ( k5_filter_2(X0,X1) = X1
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f142]) ).

fof(f144,plain,
    ! [X0] :
      ( u1_struct_0(X0) = k17_filter_2(X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f145,plain,
    ! [X0] :
      ( u1_struct_0(X0) = k17_filter_2(X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f144]) ).

fof(f150,plain,
    ! [X0] :
      ( m2_filter_2(k17_filter_2(X0),X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f151,plain,
    ! [X0] :
      ( m2_filter_2(k17_filter_2(X0),X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f150]) ).

fof(f154,plain,
    ! [X0] :
      ( m1_filter_0(k1_filter_0(X0),X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f155,plain,
    ! [X0] :
      ( m1_filter_0(k1_filter_0(X0),X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f154]) ).

fof(f158,plain,
    ! [X0] :
      ( ( l3_lattices(k1_lattice2(X0))
        & v3_lattices(k1_lattice2(X0)) )
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f163,plain,
    ! [X0,X1] :
      ( m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0)))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0)))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f163]) ).

fof(f165,plain,
    ! [X0] :
      ( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
      | ~ l1_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f166,plain,
    ! [X0] :
      ( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
      | ~ l1_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f165]) ).

fof(f167,plain,
    ! [X0] :
      ( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
      | ~ l2_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f168,plain,
    ! [X0] :
      ( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
      | ~ l2_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f167]) ).

fof(f169,plain,
    ! [X0] :
      ( l1_struct_0(X0)
      | ~ l1_lattices(X0) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f171,plain,
    ! [X0] :
      ( ( l2_lattices(X0)
        & l1_lattices(X0) )
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f172,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
            & ~ v1_xboole_0(X1) )
          | ~ m1_filter_0(X1,X0) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f173,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
            & ~ v1_xboole_0(X1) )
          | ~ m1_filter_0(X1,X0) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f172]) ).

fof(f176,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( m2_lattice4(X1,X0)
            & ~ v1_xboole_0(X1) )
          | ~ m2_filter_2(X1,X0) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f177,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( m2_lattice4(X1,X0)
            & ~ v1_xboole_0(X1) )
          | ~ m2_filter_2(X1,X0) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f176]) ).

fof(f178,plain,
    ! [X0] :
      ( ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ~ m2_lattice4(X1,X0) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f179,plain,
    ! [X0] :
      ( ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ~ m2_lattice4(X1,X0) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f178]) ).

fof(f181,plain,
    ! [X0] :
      ( ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
        & v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
        & v1_funct_1(u1_lattices(X0)) )
      | ~ l1_lattices(X0) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f182,plain,
    ! [X0] :
      ( ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
        & v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
        & v1_funct_1(u2_lattices(X0)) )
      | ~ l2_lattices(X0) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f193,plain,
    ! [X0] :
      ( ~ v1_xboole_0(u1_struct_0(X0))
      | ~ l1_struct_0(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f194,plain,
    ! [X0] :
      ( ~ v1_xboole_0(u1_struct_0(X0))
      | ~ l1_struct_0(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f193]) ).

fof(f207,plain,
    ! [X0] :
      ( ( v10_lattices(k1_lattice2(X0))
        & v9_lattices(k1_lattice2(X0))
        & v8_lattices(k1_lattice2(X0))
        & v7_lattices(k1_lattice2(X0))
        & v6_lattices(k1_lattice2(X0))
        & v5_lattices(k1_lattice2(X0))
        & v4_lattices(k1_lattice2(X0))
        & v3_lattices(k1_lattice2(X0))
        & ~ v3_struct_0(k1_lattice2(X0)) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f208,plain,
    ! [X0] :
      ( ( v10_lattices(k1_lattice2(X0))
        & v9_lattices(k1_lattice2(X0))
        & v8_lattices(k1_lattice2(X0))
        & v7_lattices(k1_lattice2(X0))
        & v6_lattices(k1_lattice2(X0))
        & v5_lattices(k1_lattice2(X0))
        & v4_lattices(k1_lattice2(X0))
        & v3_lattices(k1_lattice2(X0))
        & ~ v3_struct_0(k1_lattice2(X0)) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f207]) ).

fof(f209,plain,
    ! [X0,X1,X2] :
      ( ( r2_hidden(X0,a_2_0_filter_0(X1,X2))
      <=> ? [X3] :
            ( r3_lattices(X1,X2,X3)
            & X0 = X3
            & m1_subset_1(X3,u1_struct_0(X1)) ) )
      | ~ m1_subset_1(X2,u1_struct_0(X1))
      | ~ l3_lattices(X1)
      | ~ v10_lattices(X1)
      | v3_struct_0(X1) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f210,plain,
    ! [X0,X1,X2] :
      ( ( r2_hidden(X0,a_2_0_filter_0(X1,X2))
      <=> ? [X3] :
            ( r3_lattices(X1,X2,X3)
            & X0 = X3
            & m1_subset_1(X3,u1_struct_0(X1)) ) )
      | ~ m1_subset_1(X2,u1_struct_0(X1))
      | ~ l3_lattices(X1)
      | ~ v10_lattices(X1)
      | v3_struct_0(X1) ),
    inference(flattening,[],[f209]) ).

fof(f213,plain,
    ! [X0,X1,X2] :
      ( ! [X3,X4,X5] :
          ( ( X2 = X5
            & X1 = X4
            & X0 = X3 )
          | g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
      | ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X2)
      | ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X1) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f214,plain,
    ! [X0,X1,X2] :
      ( ! [X3,X4,X5] :
          ( ( X2 = X5
            & X1 = X4
            & X0 = X3 )
          | g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
      | ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X2)
      | ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X1) ),
    inference(flattening,[],[f213]) ).

fof(f222,plain,
    ! [X0,X1] :
      ( k2_filter_0(X0,X1) = k2_filter_2(X0,X1)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f86]) ).

fof(f223,plain,
    ! [X0,X1] :
      ( k2_filter_0(X0,X1) = k2_filter_2(X0,X1)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f222]) ).

fof(f232,plain,
    ! [X0,X1,X2] :
      ( r3_lattices(X0,X1,X1)
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ l3_lattices(X0)
      | ~ v9_lattices(X0)
      | ~ v8_lattices(X0)
      | ~ v6_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f93]) ).

fof(f233,plain,
    ! [X0,X1,X2] :
      ( r3_lattices(X0,X1,X1)
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ l3_lattices(X0)
      | ~ v9_lattices(X0)
      | ~ v8_lattices(X0)
      | ~ v6_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f232]) ).

fof(f236,plain,
    ! [X0,X1] :
      ( m1_subset_1(X0,X1)
      | ~ r2_hidden(X0,X1) ),
    inference(ennf_transformation,[],[f95]) ).

fof(f239,plain,
    ! [X0,X1] :
      ( r2_hidden(X0,X1)
      | v1_xboole_0(X1)
      | ~ m1_subset_1(X0,X1) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f240,plain,
    ! [X0,X1] :
      ( r2_hidden(X0,X1)
      | v1_xboole_0(X1)
      | ~ m1_subset_1(X0,X1) ),
    inference(flattening,[],[f239]) ).

fof(f242,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( k2_filter_2(X0,X1) = k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
            & k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f99]) ).

fof(f243,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( k2_filter_2(X0,X1) = k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
            & k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f242]) ).

fof(f248,plain,
    ! [X0] :
      ( ( v14_lattices(X0)
      <=> v13_lattices(k1_lattice2(X0)) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f103]) ).

fof(f249,plain,
    ! [X0] :
      ( ( v14_lattices(X0)
      <=> v13_lattices(k1_lattice2(X0)) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f248]) ).

fof(f251,plain,
    ! [X0] :
      ( k6_lattices(X0) = k5_lattices(k1_lattice2(X0))
      | ~ l3_lattices(X0)
      | ~ v14_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f105]) ).

fof(f252,plain,
    ! [X0] :
      ( k6_lattices(X0) = k5_lattices(k1_lattice2(X0))
      | ~ l3_lattices(X0)
      | ~ v14_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f251]) ).

fof(f255,plain,
    ! [X0] :
      ( ( v10_lattices(k1_lattice2(X0))
        & v9_lattices(k1_lattice2(X0))
        & v8_lattices(k1_lattice2(X0))
        & v7_lattices(k1_lattice2(X0))
        & v6_lattices(k1_lattice2(X0))
        & v5_lattices(k1_lattice2(X0))
        & v4_lattices(k1_lattice2(X0))
        & v3_lattices(k1_lattice2(X0))
        & ~ v3_struct_0(k1_lattice2(X0)) )
      | ~ sP0(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f256,plain,
    ! [X0] :
      ( sP0(X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(definition_folding,[],[f208,f255]) ).

fof(f257,plain,
    ( ? [X0] :
        ( ~ r1_filter_2(u1_struct_0(X0),k17_filter_2(X0),k18_filter_2(X0,k6_lattices(X0)))
        & v14_lattices(X0)
        & l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
   => ( ~ r1_filter_2(u1_struct_0(sK1),k17_filter_2(sK1),k18_filter_2(sK1,k6_lattices(sK1)))
      & v14_lattices(sK1)
      & l3_lattices(sK1)
      & v10_lattices(sK1)
      & ~ v3_struct_0(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f258,plain,
    ( ~ r1_filter_2(u1_struct_0(sK1),k17_filter_2(sK1),k18_filter_2(sK1,k6_lattices(sK1)))
    & v14_lattices(sK1)
    & l3_lattices(sK1)
    & v10_lattices(sK1)
    & ~ v3_struct_0(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f121,f257]) ).

fof(f281,plain,
    ! [X0] :
      ( ( v10_lattices(k1_lattice2(X0))
        & v9_lattices(k1_lattice2(X0))
        & v8_lattices(k1_lattice2(X0))
        & v7_lattices(k1_lattice2(X0))
        & v6_lattices(k1_lattice2(X0))
        & v5_lattices(k1_lattice2(X0))
        & v4_lattices(k1_lattice2(X0))
        & v3_lattices(k1_lattice2(X0))
        & ~ v3_struct_0(k1_lattice2(X0)) )
      | ~ sP0(X0) ),
    inference(nnf_transformation,[],[f255]) ).

fof(f282,plain,
    ! [X0,X1,X2] :
      ( ( ( r2_hidden(X0,a_2_0_filter_0(X1,X2))
          | ! [X3] :
              ( ~ r3_lattices(X1,X2,X3)
              | X0 != X3
              | ~ m1_subset_1(X3,u1_struct_0(X1)) ) )
        & ( ? [X3] :
              ( r3_lattices(X1,X2,X3)
              & X0 = X3
              & m1_subset_1(X3,u1_struct_0(X1)) )
          | ~ r2_hidden(X0,a_2_0_filter_0(X1,X2)) ) )
      | ~ m1_subset_1(X2,u1_struct_0(X1))
      | ~ l3_lattices(X1)
      | ~ v10_lattices(X1)
      | v3_struct_0(X1) ),
    inference(nnf_transformation,[],[f210]) ).

fof(f283,plain,
    ! [X0,X1,X2] :
      ( ( ( r2_hidden(X0,a_2_0_filter_0(X1,X2))
          | ! [X3] :
              ( ~ r3_lattices(X1,X2,X3)
              | X0 != X3
              | ~ m1_subset_1(X3,u1_struct_0(X1)) ) )
        & ( ? [X4] :
              ( r3_lattices(X1,X2,X4)
              & X0 = X4
              & m1_subset_1(X4,u1_struct_0(X1)) )
          | ~ r2_hidden(X0,a_2_0_filter_0(X1,X2)) ) )
      | ~ m1_subset_1(X2,u1_struct_0(X1))
      | ~ l3_lattices(X1)
      | ~ v10_lattices(X1)
      | v3_struct_0(X1) ),
    inference(rectify,[],[f282]) ).

fof(f284,plain,
    ! [X0,X1,X2] :
      ( ? [X4] :
          ( r3_lattices(X1,X2,X4)
          & X0 = X4
          & m1_subset_1(X4,u1_struct_0(X1)) )
     => ( r3_lattices(X1,X2,sK13(X0,X1,X2))
        & sK13(X0,X1,X2) = X0
        & m1_subset_1(sK13(X0,X1,X2),u1_struct_0(X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f285,plain,
    ! [X0,X1,X2] :
      ( ( ( r2_hidden(X0,a_2_0_filter_0(X1,X2))
          | ! [X3] :
              ( ~ r3_lattices(X1,X2,X3)
              | X0 != X3
              | ~ m1_subset_1(X3,u1_struct_0(X1)) ) )
        & ( ( r3_lattices(X1,X2,sK13(X0,X1,X2))
            & sK13(X0,X1,X2) = X0
            & m1_subset_1(sK13(X0,X1,X2),u1_struct_0(X1)) )
          | ~ r2_hidden(X0,a_2_0_filter_0(X1,X2)) ) )
      | ~ m1_subset_1(X2,u1_struct_0(X1))
      | ~ l3_lattices(X1)
      | ~ v10_lattices(X1)
      | v3_struct_0(X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f283,f284]) ).

fof(f319,plain,
    ! [X0,X1,X2] :
      ( ( m2_relset_1(X2,X0,X1)
        | ~ m1_relset_1(X2,X0,X1) )
      & ( m1_relset_1(X2,X0,X1)
        | ~ m2_relset_1(X2,X0,X1) ) ),
    inference(nnf_transformation,[],[f88]) ).

fof(f325,plain,
    ! [X0] :
      ( ( ( v14_lattices(X0)
          | ~ v13_lattices(k1_lattice2(X0)) )
        & ( v13_lattices(k1_lattice2(X0))
          | ~ v14_lattices(X0) ) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(nnf_transformation,[],[f249]) ).

fof(f326,plain,
    ~ v3_struct_0(sK1),
    inference(cnf_transformation,[],[f258]) ).

fof(f327,plain,
    v10_lattices(sK1),
    inference(cnf_transformation,[],[f258]) ).

fof(f328,plain,
    l3_lattices(sK1),
    inference(cnf_transformation,[],[f258]) ).

fof(f329,plain,
    v14_lattices(sK1),
    inference(cnf_transformation,[],[f258]) ).

fof(f330,plain,
    ~ r1_filter_2(u1_struct_0(sK1),k17_filter_2(sK1),k18_filter_2(sK1,k6_lattices(sK1))),
    inference(cnf_transformation,[],[f258]) ).

fof(f331,plain,
    ! [X0] :
      ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
      | ~ v3_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f337,plain,
    ! [X0] :
      ( v6_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f339,plain,
    ! [X0] :
      ( v8_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f340,plain,
    ! [X0] :
      ( v9_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f351,plain,
    ! [X0] :
      ( u1_struct_0(X0) = k1_filter_0(X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f352,plain,
    ! [X0] :
      ( k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f354,plain,
    ! [X0,X1] :
      ( k5_filter_2(X0,X1) = X1
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f355,plain,
    ! [X0] :
      ( u1_struct_0(X0) = k17_filter_2(X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f359,plain,
    ! [X0] :
      ( m2_filter_2(k17_filter_2(X0),X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f151]) ).

fof(f361,plain,
    ! [X0] :
      ( m1_filter_0(k1_filter_0(X0),X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f363,plain,
    ! [X0] :
      ( v3_lattices(k1_lattice2(X0))
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f158]) ).

fof(f364,plain,
    ! [X0] :
      ( l3_lattices(k1_lattice2(X0))
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f158]) ).

fof(f367,plain,
    ! [X0,X1] :
      ( m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0)))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f164]) ).

fof(f368,plain,
    ! [X0] :
      ( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
      | ~ l1_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f166]) ).

fof(f369,plain,
    ! [X0] :
      ( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
      | ~ l2_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f370,plain,
    ! [X0] :
      ( l1_struct_0(X0)
      | ~ l1_lattices(X0) ),
    inference(cnf_transformation,[],[f169]) ).

fof(f372,plain,
    ! [X0] :
      ( l1_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f373,plain,
    ! [X0] :
      ( l2_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f374,plain,
    ! [X0,X1] :
      ( ~ v1_xboole_0(X1)
      | ~ m1_filter_0(X1,X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f173]) ).

fof(f379,plain,
    ! [X0,X1] :
      ( m2_lattice4(X1,X0)
      | ~ m2_filter_2(X1,X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f177]) ).

fof(f380,plain,
    ! [X0,X1] :
      ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ m2_lattice4(X1,X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f382,plain,
    ! [X0] :
      ( v1_funct_1(u1_lattices(X0))
      | ~ l1_lattices(X0) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f383,plain,
    ! [X0] :
      ( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
      | ~ l1_lattices(X0) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f384,plain,
    ! [X0] :
      ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
      | ~ l1_lattices(X0) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f385,plain,
    ! [X0] :
      ( v1_funct_1(u2_lattices(X0))
      | ~ l2_lattices(X0) ),
    inference(cnf_transformation,[],[f182]) ).

fof(f386,plain,
    ! [X0] :
      ( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
      | ~ l2_lattices(X0) ),
    inference(cnf_transformation,[],[f182]) ).

fof(f387,plain,
    ! [X0] :
      ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
      | ~ l2_lattices(X0) ),
    inference(cnf_transformation,[],[f182]) ).

fof(f401,plain,
    ! [X0] :
      ( ~ v1_xboole_0(u1_struct_0(X0))
      | ~ l1_struct_0(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f194]) ).

fof(f419,plain,
    ! [X0] :
      ( ~ v3_struct_0(k1_lattice2(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f281]) ).

fof(f427,plain,
    ! [X0] :
      ( v10_lattices(k1_lattice2(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f281]) ).

fof(f428,plain,
    ! [X0] :
      ( sP0(X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f256]) ).

fof(f429,plain,
    ! [X2,X0,X1] :
      ( m1_subset_1(sK13(X0,X1,X2),u1_struct_0(X1))
      | ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
      | ~ m1_subset_1(X2,u1_struct_0(X1))
      | ~ l3_lattices(X1)
      | ~ v10_lattices(X1)
      | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f285]) ).

fof(f430,plain,
    ! [X2,X0,X1] :
      ( sK13(X0,X1,X2) = X0
      | ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
      | ~ m1_subset_1(X2,u1_struct_0(X1))
      | ~ l3_lattices(X1)
      | ~ v10_lattices(X1)
      | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f285]) ).

fof(f432,plain,
    ! [X2,X3,X0,X1] :
      ( r2_hidden(X0,a_2_0_filter_0(X1,X2))
      | ~ r3_lattices(X1,X2,X3)
      | X0 != X3
      | ~ m1_subset_1(X3,u1_struct_0(X1))
      | ~ m1_subset_1(X2,u1_struct_0(X1))
      | ~ l3_lattices(X1)
      | ~ v10_lattices(X1)
      | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f285]) ).

fof(f437,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( X0 = X3
      | g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
      | ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X2)
      | ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
      | ~ v1_funct_1(X1) ),
    inference(cnf_transformation,[],[f214]) ).

fof(f488,plain,
    ! [X0,X1] :
      ( k2_filter_0(X0,X1) = k2_filter_2(X0,X1)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f223]) ).

fof(f491,plain,
    ! [X2,X0,X1] :
      ( m1_relset_1(X2,X0,X1)
      | ~ m2_relset_1(X2,X0,X1) ),
    inference(cnf_transformation,[],[f319]) ).

fof(f499,plain,
    ! [X2,X0,X1] :
      ( r3_lattices(X0,X1,X1)
      | ~ m1_subset_1(X2,u1_struct_0(X0))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ l3_lattices(X0)
      | ~ v9_lattices(X0)
      | ~ v8_lattices(X0)
      | ~ v6_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f233]) ).

fof(f501,plain,
    ! [X0,X1] :
      ( m1_subset_1(X0,X1)
      | ~ r2_hidden(X0,X1) ),
    inference(cnf_transformation,[],[f236]) ).

fof(f503,plain,
    ! [X0,X1] :
      ( r2_hidden(X0,X1)
      | v1_xboole_0(X1)
      | ~ m1_subset_1(X0,X1) ),
    inference(cnf_transformation,[],[f240]) ).

fof(f506,plain,
    ! [X0,X1] :
      ( k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f243]) ).

fof(f511,plain,
    ! [X0] :
      ( v13_lattices(k1_lattice2(X0))
      | ~ v14_lattices(X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f325]) ).

fof(f514,plain,
    ! [X0] :
      ( k6_lattices(X0) = k5_lattices(k1_lattice2(X0))
      | ~ l3_lattices(X0)
      | ~ v14_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f252]) ).

fof(f517,plain,
    ! [X2,X3,X1] :
      ( r2_hidden(X3,a_2_0_filter_0(X1,X2))
      | ~ r3_lattices(X1,X2,X3)
      | ~ m1_subset_1(X3,u1_struct_0(X1))
      | ~ m1_subset_1(X2,u1_struct_0(X1))
      | ~ l3_lattices(X1)
      | ~ v10_lattices(X1)
      | v3_struct_0(X1) ),
    inference(equality_resolution,[],[f432]) ).

cnf(c_49,negated_conjecture,
    ~ r1_filter_2(u1_struct_0(sK1),k17_filter_2(sK1),k18_filter_2(sK1,k6_lattices(sK1))),
    inference(cnf_transformation,[],[f330]) ).

cnf(c_50,negated_conjecture,
    v14_lattices(sK1),
    inference(cnf_transformation,[],[f329]) ).

cnf(c_51,negated_conjecture,
    l3_lattices(sK1),
    inference(cnf_transformation,[],[f328]) ).

cnf(c_52,negated_conjecture,
    v10_lattices(sK1),
    inference(cnf_transformation,[],[f327]) ).

cnf(c_53,negated_conjecture,
    ~ v3_struct_0(sK1),
    inference(cnf_transformation,[],[f326]) ).

cnf(c_54,plain,
    ( ~ l3_lattices(X0)
    | ~ v3_lattices(X0)
    | g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ),
    inference(cnf_transformation,[],[f331]) ).

cnf(c_57,plain,
    ( ~ l3_lattices(X0)
    | ~ v10_lattices(X0)
    | v3_struct_0(X0)
    | v9_lattices(X0) ),
    inference(cnf_transformation,[],[f340]) ).

cnf(c_58,plain,
    ( ~ l3_lattices(X0)
    | ~ v10_lattices(X0)
    | v3_struct_0(X0)
    | v8_lattices(X0) ),
    inference(cnf_transformation,[],[f339]) ).

cnf(c_60,plain,
    ( ~ l3_lattices(X0)
    | ~ v10_lattices(X0)
    | v3_struct_0(X0)
    | v6_lattices(X0) ),
    inference(cnf_transformation,[],[f337]) ).

cnf(c_68,plain,
    ( ~ l3_lattices(X0)
    | ~ v10_lattices(X0)
    | u1_struct_0(X0) = k1_filter_0(X0)
    | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f351]) ).

cnf(c_69,plain,
    ( ~ l3_lattices(X0)
    | g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) = k1_lattice2(X0) ),
    inference(cnf_transformation,[],[f352]) ).

cnf(c_71,plain,
    ( ~ m1_subset_1(X0,u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | k5_filter_2(X1,X0) = X0
    | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f354]) ).

cnf(c_72,plain,
    ( ~ l3_lattices(X0)
    | ~ v10_lattices(X0)
    | u1_struct_0(X0) = k17_filter_2(X0)
    | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f355]) ).

cnf(c_76,plain,
    ( ~ l3_lattices(X0)
    | ~ v10_lattices(X0)
    | m2_filter_2(k17_filter_2(X0),X0)
    | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f359]) ).

cnf(c_78,plain,
    ( ~ l3_lattices(X0)
    | ~ v10_lattices(X0)
    | m1_filter_0(k1_filter_0(X0),X0)
    | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f361]) ).

cnf(c_80,plain,
    ( ~ l3_lattices(X0)
    | l3_lattices(k1_lattice2(X0)) ),
    inference(cnf_transformation,[],[f364]) ).

cnf(c_81,plain,
    ( ~ l3_lattices(X0)
    | v3_lattices(k1_lattice2(X0)) ),
    inference(cnf_transformation,[],[f363]) ).

cnf(c_84,plain,
    ( ~ m1_subset_1(X0,u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | m1_subset_1(k5_filter_2(X1,X0),u1_struct_0(k1_lattice2(X1)))
    | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f367]) ).

cnf(c_85,plain,
    ( ~ l1_lattices(X0)
    | m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
    | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f368]) ).

cnf(c_86,plain,
    ( ~ l2_lattices(X0)
    | m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
    | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f369]) ).

cnf(c_87,plain,
    ( ~ l1_lattices(X0)
    | l1_struct_0(X0) ),
    inference(cnf_transformation,[],[f370]) ).

cnf(c_89,plain,
    ( ~ l3_lattices(X0)
    | l2_lattices(X0) ),
    inference(cnf_transformation,[],[f373]) ).

cnf(c_90,plain,
    ( ~ l3_lattices(X0)
    | l1_lattices(X0) ),
    inference(cnf_transformation,[],[f372]) ).

cnf(c_92,plain,
    ( ~ m1_filter_0(X0,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v1_xboole_0(X0)
    | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f374]) ).

cnf(c_95,plain,
    ( ~ m2_filter_2(X0,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | m2_lattice4(X0,X1)
    | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f379]) ).

cnf(c_97,plain,
    ( ~ m2_lattice4(X0,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
    | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f380]) ).

cnf(c_99,plain,
    ( ~ l1_lattices(X0)
    | m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
    inference(cnf_transformation,[],[f384]) ).

cnf(c_100,plain,
    ( ~ l1_lattices(X0)
    | v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
    inference(cnf_transformation,[],[f383]) ).

cnf(c_101,plain,
    ( ~ l1_lattices(X0)
    | v1_funct_1(u1_lattices(X0)) ),
    inference(cnf_transformation,[],[f382]) ).

cnf(c_102,plain,
    ( ~ l2_lattices(X0)
    | m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
    inference(cnf_transformation,[],[f387]) ).

cnf(c_103,plain,
    ( ~ l2_lattices(X0)
    | v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
    inference(cnf_transformation,[],[f386]) ).

cnf(c_104,plain,
    ( ~ l2_lattices(X0)
    | v1_funct_1(u2_lattices(X0)) ),
    inference(cnf_transformation,[],[f385]) ).

cnf(c_118,plain,
    ( ~ v1_xboole_0(u1_struct_0(X0))
    | ~ l1_struct_0(X0)
    | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f401]) ).

cnf(c_136,plain,
    ( ~ sP0(X0)
    | v10_lattices(k1_lattice2(X0)) ),
    inference(cnf_transformation,[],[f427]) ).

cnf(c_144,plain,
    ( ~ v3_struct_0(k1_lattice2(X0))
    | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f419]) ).

cnf(c_145,plain,
    ( ~ l3_lattices(X0)
    | ~ v10_lattices(X0)
    | v3_struct_0(X0)
    | sP0(X0) ),
    inference(cnf_transformation,[],[f428]) ).

cnf(c_146,plain,
    ( ~ r3_lattices(X0,X1,X2)
    | ~ m1_subset_1(X1,u1_struct_0(X0))
    | ~ m1_subset_1(X2,u1_struct_0(X0))
    | ~ l3_lattices(X0)
    | ~ v10_lattices(X0)
    | r2_hidden(X2,a_2_0_filter_0(X0,X1))
    | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f517]) ).

cnf(c_148,plain,
    ( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | sK13(X0,X1,X2) = X0
    | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f430]) ).

cnf(c_149,plain,
    ( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | m1_subset_1(sK13(X0,X1,X2),u1_struct_0(X1))
    | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f429]) ).

cnf(c_156,plain,
    ( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
    | ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
    | ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
    | ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_1(X2)
    | X0 = X3 ),
    inference(cnf_transformation,[],[f437]) ).

cnf(c_205,plain,
    ( ~ m1_subset_1(X0,u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | k2_filter_0(X1,X0) = k2_filter_2(X1,X0)
    | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f488]) ).

cnf(c_209,plain,
    ( ~ m2_relset_1(X0,X1,X2)
    | m1_relset_1(X0,X1,X2) ),
    inference(cnf_transformation,[],[f491]) ).

cnf(c_210,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
    | r1_filter_2(X1,X0,X0)
    | v1_xboole_0(X1) ),
    inference(cnf_transformation,[],[f520]) ).

cnf(c_216,plain,
    ( ~ m1_subset_1(X0,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v9_lattices(X1)
    | ~ v8_lattices(X1)
    | ~ v6_lattices(X1)
    | r3_lattices(X1,X0,X0)
    | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f499]) ).

cnf(c_218,plain,
    ( ~ r2_hidden(X0,X1)
    | m1_subset_1(X0,X1) ),
    inference(cnf_transformation,[],[f501]) ).

cnf(c_219,plain,
    ( ~ l3_lattices(X0)
    | ~ v10_lattices(X0)
    | ~ v13_lattices(X0)
    | k2_filter_0(X0,k5_lattices(X0)) = k1_filter_0(X0)
    | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f521]) ).

cnf(c_220,plain,
    ( ~ m1_subset_1(X0,X1)
    | r2_hidden(X0,X1)
    | v1_xboole_0(X1) ),
    inference(cnf_transformation,[],[f503]) ).

cnf(c_224,plain,
    ( ~ m1_subset_1(X0,u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X0)) = k18_filter_2(X1,X0)
    | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f506]) ).

cnf(c_229,plain,
    ( ~ v14_lattices(X0)
    | ~ l3_lattices(X0)
    | ~ v10_lattices(X0)
    | v13_lattices(k1_lattice2(X0))
    | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f511]) ).

cnf(c_231,plain,
    ( ~ v14_lattices(X0)
    | ~ l3_lattices(X0)
    | ~ v10_lattices(X0)
    | k5_lattices(k1_lattice2(X0)) = k6_lattices(X0)
    | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f514]) ).

cnf(c_366,plain,
    ( ~ m2_relset_1(X0,X1,X2)
    | m1_relset_1(X0,X1,X2) ),
    inference(prop_impl_just,[status(thm)],[c_209]) ).

cnf(c_372,plain,
    ( ~ l3_lattices(X0)
    | v3_lattices(k1_lattice2(X0)) ),
    inference(prop_impl_just,[status(thm)],[c_81]) ).

cnf(c_374,plain,
    ( ~ l3_lattices(X0)
    | l1_lattices(X0) ),
    inference(prop_impl_just,[status(thm)],[c_90]) ).

cnf(c_376,plain,
    ( ~ l3_lattices(X0)
    | l2_lattices(X0) ),
    inference(prop_impl_just,[status(thm)],[c_89]) ).

cnf(c_400,plain,
    ( ~ l1_lattices(X0)
    | l1_struct_0(X0) ),
    inference(prop_impl_just,[status(thm)],[c_87]) ).

cnf(c_402,plain,
    ( ~ l1_lattices(X0)
    | m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
    inference(prop_impl_just,[status(thm)],[c_99]) ).

cnf(c_404,plain,
    ( ~ l1_lattices(X0)
    | v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
    inference(prop_impl_just,[status(thm)],[c_100]) ).

cnf(c_406,plain,
    ( ~ l1_lattices(X0)
    | v1_funct_1(u1_lattices(X0)) ),
    inference(prop_impl_just,[status(thm)],[c_101]) ).

cnf(c_412,plain,
    ( ~ l2_lattices(X0)
    | m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
    inference(prop_impl_just,[status(thm)],[c_102]) ).

cnf(c_414,plain,
    ( ~ l2_lattices(X0)
    | v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
    inference(prop_impl_just,[status(thm)],[c_103]) ).

cnf(c_416,plain,
    ( ~ l2_lattices(X0)
    | v1_funct_1(u2_lattices(X0)) ),
    inference(prop_impl_just,[status(thm)],[c_104]) ).

cnf(c_434,plain,
    ( ~ sP0(X0)
    | v10_lattices(k1_lattice2(X0)) ),
    inference(prop_impl_just,[status(thm)],[c_136]) ).

cnf(c_2791,plain,
    ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != X2
    | u1_struct_0(X0) != X3
    | u1_lattices(X0) != X1
    | ~ l1_lattices(X0)
    | m1_relset_1(X1,X2,X3) ),
    inference(resolution_lifted,[status(thm)],[c_366,c_402]) ).

cnf(c_2792,plain,
    ( ~ l1_lattices(X0)
    | m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
    inference(unflattening,[status(thm)],[c_2791]) ).

cnf(c_2809,plain,
    ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != X2
    | u1_struct_0(X0) != X3
    | u2_lattices(X0) != X1
    | ~ l2_lattices(X0)
    | m1_relset_1(X1,X2,X3) ),
    inference(resolution_lifted,[status(thm)],[c_366,c_412]) ).

cnf(c_2810,plain,
    ( ~ l2_lattices(X0)
    | m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
    inference(unflattening,[status(thm)],[c_2809]) ).

cnf(c_2870,plain,
    ( X0 != X1
    | ~ l3_lattices(X0)
    | m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
    inference(resolution_lifted,[status(thm)],[c_374,c_2792]) ).

cnf(c_2871,plain,
    ( ~ l3_lattices(X0)
    | m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
    inference(unflattening,[status(thm)],[c_2870]) ).

cnf(c_2879,plain,
    ( X0 != X1
    | ~ l3_lattices(X0)
    | v1_funct_1(u1_lattices(X1)) ),
    inference(resolution_lifted,[status(thm)],[c_374,c_406]) ).

cnf(c_2880,plain,
    ( ~ l3_lattices(X0)
    | v1_funct_1(u1_lattices(X0)) ),
    inference(unflattening,[status(thm)],[c_2879]) ).

cnf(c_2888,plain,
    ( X0 != X1
    | ~ l3_lattices(X0)
    | v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
    inference(resolution_lifted,[status(thm)],[c_374,c_404]) ).

cnf(c_2889,plain,
    ( ~ l3_lattices(X0)
    | v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
    inference(unflattening,[status(thm)],[c_2888]) ).

cnf(c_2897,plain,
    ( X0 != X1
    | ~ l3_lattices(X0)
    | l1_struct_0(X1) ),
    inference(resolution_lifted,[status(thm)],[c_374,c_400]) ).

cnf(c_2898,plain,
    ( ~ l3_lattices(X0)
    | l1_struct_0(X0) ),
    inference(unflattening,[status(thm)],[c_2897]) ).

cnf(c_2906,plain,
    ( X0 != X1
    | ~ l3_lattices(X0)
    | m1_subset_1(k5_lattices(X1),u1_struct_0(X1))
    | v3_struct_0(X1) ),
    inference(resolution_lifted,[status(thm)],[c_374,c_85]) ).

cnf(c_2907,plain,
    ( ~ l3_lattices(X0)
    | m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
    | v3_struct_0(X0) ),
    inference(unflattening,[status(thm)],[c_2906]) ).

cnf(c_2980,plain,
    ( X0 != X1
    | ~ l3_lattices(X0)
    | m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
    inference(resolution_lifted,[status(thm)],[c_376,c_2810]) ).

cnf(c_2981,plain,
    ( ~ l3_lattices(X0)
    | m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
    inference(unflattening,[status(thm)],[c_2980]) ).

cnf(c_2989,plain,
    ( X0 != X1
    | ~ l3_lattices(X0)
    | v1_funct_1(u2_lattices(X1)) ),
    inference(resolution_lifted,[status(thm)],[c_376,c_416]) ).

cnf(c_2990,plain,
    ( ~ l3_lattices(X0)
    | v1_funct_1(u2_lattices(X0)) ),
    inference(unflattening,[status(thm)],[c_2989]) ).

cnf(c_2998,plain,
    ( X0 != X1
    | ~ l3_lattices(X0)
    | v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
    inference(resolution_lifted,[status(thm)],[c_376,c_414]) ).

cnf(c_2999,plain,
    ( ~ l3_lattices(X0)
    | v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
    inference(unflattening,[status(thm)],[c_2998]) ).

cnf(c_3009,plain,
    ( X0 != X1
    | ~ l3_lattices(X0)
    | m1_subset_1(k6_lattices(X1),u1_struct_0(X1))
    | v3_struct_0(X1) ),
    inference(resolution_lifted,[status(thm)],[c_376,c_86]) ).

cnf(c_3010,plain,
    ( ~ l3_lattices(X0)
    | m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
    | v3_struct_0(X0) ),
    inference(unflattening,[status(thm)],[c_3009]) ).

cnf(c_3111,plain,
    ( k1_lattice2(X0) != X1
    | ~ l3_lattices(X0)
    | ~ l3_lattices(X1)
    | g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1 ),
    inference(resolution_lifted,[status(thm)],[c_54,c_372]) ).

cnf(c_3112,plain,
    ( ~ l3_lattices(k1_lattice2(X0))
    | ~ l3_lattices(X0)
    | g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) = k1_lattice2(X0) ),
    inference(unflattening,[status(thm)],[c_3111]) ).

cnf(c_3259,plain,
    ( X0 != X1
    | X2 != X3
    | ~ m2_filter_2(X0,X2)
    | ~ l3_lattices(X2)
    | ~ l3_lattices(X3)
    | ~ v10_lattices(X2)
    | ~ v10_lattices(X3)
    | m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3) ),
    inference(resolution_lifted,[status(thm)],[c_95,c_97]) ).

cnf(c_3260,plain,
    ( ~ m2_filter_2(X0,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
    | v3_struct_0(X1) ),
    inference(unflattening,[status(thm)],[c_3259]) ).

cnf(c_3363,plain,
    ( X0 != sK1
    | ~ l3_lattices(X0)
    | ~ v10_lattices(X0)
    | k5_lattices(k1_lattice2(X0)) = k6_lattices(X0)
    | v3_struct_0(X0) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_231]) ).

cnf(c_3364,plain,
    ( ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | k5_lattices(k1_lattice2(sK1)) = k6_lattices(sK1)
    | v3_struct_0(sK1) ),
    inference(unflattening,[status(thm)],[c_3363]) ).

cnf(c_3365,plain,
    k5_lattices(k1_lattice2(sK1)) = k6_lattices(sK1),
    inference(global_subsumption_just,[status(thm)],[c_3364,c_52,c_51,c_53,c_3364]) ).

cnf(c_3370,plain,
    ( X0 != sK1
    | ~ l3_lattices(X0)
    | ~ v10_lattices(X0)
    | v13_lattices(k1_lattice2(X0))
    | v3_struct_0(X0) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_229]) ).

cnf(c_3371,plain,
    ( ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v13_lattices(k1_lattice2(sK1))
    | v3_struct_0(sK1) ),
    inference(unflattening,[status(thm)],[c_3370]) ).

cnf(c_3372,plain,
    v13_lattices(k1_lattice2(sK1)),
    inference(global_subsumption_just,[status(thm)],[c_3371,c_52,c_51,c_53,c_3371]) ).

cnf(c_4018,plain,
    ( k17_filter_2(X0) != X1
    | X0 != X2
    | ~ l3_lattices(X0)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X0)
    | ~ v10_lattices(X2)
    | m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | v3_struct_0(X0)
    | v3_struct_0(X2) ),
    inference(resolution_lifted,[status(thm)],[c_76,c_3260]) ).

cnf(c_4019,plain,
    ( ~ l3_lattices(X0)
    | ~ v10_lattices(X0)
    | m1_subset_1(k17_filter_2(X0),k1_zfmisc_1(u1_struct_0(X0)))
    | v3_struct_0(X0) ),
    inference(unflattening,[status(thm)],[c_4018]) ).

cnf(c_4824,plain,
    ( X0 != sK1
    | ~ l3_lattices(X0)
    | v3_struct_0(X0)
    | sP0(X0) ),
    inference(resolution_lifted,[status(thm)],[c_52,c_145]) ).

cnf(c_4825,plain,
    ( ~ l3_lattices(sK1)
    | v3_struct_0(sK1)
    | sP0(sK1) ),
    inference(unflattening,[status(thm)],[c_4824]) ).

cnf(c_5486,plain,
    ( k1_lattice2(X0) != X1
    | ~ l3_lattices(X1)
    | ~ sP0(X0)
    | u1_struct_0(X1) = k1_filter_0(X1)
    | v3_struct_0(X1) ),
    inference(resolution_lifted,[status(thm)],[c_68,c_434]) ).

cnf(c_5487,plain,
    ( ~ l3_lattices(k1_lattice2(X0))
    | ~ sP0(X0)
    | u1_struct_0(k1_lattice2(X0)) = k1_filter_0(k1_lattice2(X0))
    | v3_struct_0(k1_lattice2(X0)) ),
    inference(unflattening,[status(thm)],[c_5486]) ).

cnf(c_5489,plain,
    ( u1_struct_0(k1_lattice2(X0)) = k1_filter_0(k1_lattice2(X0))
    | ~ sP0(X0)
    | ~ l3_lattices(k1_lattice2(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_5487,c_144,c_5487]) ).

cnf(c_5490,plain,
    ( ~ l3_lattices(k1_lattice2(X0))
    | ~ sP0(X0)
    | u1_struct_0(k1_lattice2(X0)) = k1_filter_0(k1_lattice2(X0)) ),
    inference(renaming,[status(thm)],[c_5489]) ).

cnf(c_14634,plain,
    ( ~ l3_lattices(k1_lattice2(X0))
    | ~ l3_lattices(X0)
    | g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) = k1_lattice2(X0) ),
    inference(superposition,[status(thm)],[c_81,c_54]) ).

cnf(c_14923,plain,
    ( ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | sP0(sK1) ),
    inference(superposition,[status(thm)],[c_51,c_145]) ).

cnf(c_14941,plain,
    sP0(sK1),
    inference(forward_subsumption_resolution,[status(thm)],[c_14923,c_53,c_52]) ).

cnf(c_14986,plain,
    ( ~ l3_lattices(sK1)
    | u1_struct_0(sK1) = k1_filter_0(sK1)
    | v3_struct_0(sK1) ),
    inference(superposition,[status(thm)],[c_52,c_68]) ).

cnf(c_14992,plain,
    u1_struct_0(sK1) = k1_filter_0(sK1),
    inference(forward_subsumption_resolution,[status(thm)],[c_14986,c_53,c_51]) ).

cnf(c_15074,plain,
    ( ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | m1_filter_0(u1_struct_0(sK1),sK1)
    | v3_struct_0(sK1) ),
    inference(superposition,[status(thm)],[c_14992,c_78]) ).

cnf(c_15075,plain,
    m1_filter_0(u1_struct_0(sK1),sK1),
    inference(forward_subsumption_resolution,[status(thm)],[c_15074,c_53,c_52,c_51]) ).

cnf(c_15242,plain,
    g3_lattices(u1_struct_0(sK1),u1_lattices(sK1),u2_lattices(sK1)) = k1_lattice2(sK1),
    inference(superposition,[status(thm)],[c_51,c_69]) ).

cnf(c_15348,plain,
    ( ~ v1_xboole_0(u1_struct_0(sK1))
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1) ),
    inference(superposition,[status(thm)],[c_15075,c_92]) ).

cnf(c_15353,plain,
    ~ v1_xboole_0(u1_struct_0(sK1)),
    inference(forward_subsumption_resolution,[status(thm)],[c_15348,c_53,c_52,c_51]) ).

cnf(c_15735,plain,
    ( ~ l3_lattices(k1_lattice2(sK1))
    | ~ v10_lattices(k1_lattice2(sK1))
    | k2_filter_0(k1_lattice2(sK1),k5_lattices(k1_lattice2(sK1))) = k1_filter_0(k1_lattice2(sK1))
    | v3_struct_0(k1_lattice2(sK1)) ),
    inference(superposition,[status(thm)],[c_3372,c_219]) ).

cnf(c_15738,plain,
    ( ~ l3_lattices(k1_lattice2(sK1))
    | ~ v10_lattices(k1_lattice2(sK1))
    | k2_filter_0(k1_lattice2(sK1),k6_lattices(sK1)) = k1_filter_0(k1_lattice2(sK1))
    | v3_struct_0(k1_lattice2(sK1)) ),
    inference(light_normalisation,[status(thm)],[c_15735,c_3365]) ).

cnf(c_15910,plain,
    ( ~ l3_lattices(k1_lattice2(sK1))
    | ~ sP0(sK1)
    | k2_filter_0(k1_lattice2(sK1),k6_lattices(sK1)) = k1_filter_0(k1_lattice2(sK1))
    | v3_struct_0(k1_lattice2(sK1)) ),
    inference(superposition,[status(thm)],[c_136,c_15738]) ).

cnf(c_15911,plain,
    ( ~ l3_lattices(k1_lattice2(sK1))
    | k2_filter_0(k1_lattice2(sK1),k6_lattices(sK1)) = k1_filter_0(k1_lattice2(sK1))
    | v3_struct_0(k1_lattice2(sK1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15910,c_14941]) ).

cnf(c_15924,plain,
    ( ~ l3_lattices(sK1)
    | k2_filter_0(k1_lattice2(sK1),k6_lattices(sK1)) = k1_filter_0(k1_lattice2(sK1))
    | v3_struct_0(k1_lattice2(sK1)) ),
    inference(superposition,[status(thm)],[c_80,c_15911]) ).

cnf(c_15925,plain,
    ( k2_filter_0(k1_lattice2(sK1),k6_lattices(sK1)) = k1_filter_0(k1_lattice2(sK1))
    | v3_struct_0(k1_lattice2(sK1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15924,c_51]) ).

cnf(c_15935,plain,
    ( ~ sP0(sK1)
    | k2_filter_0(k1_lattice2(sK1),k6_lattices(sK1)) = k1_filter_0(k1_lattice2(sK1)) ),
    inference(superposition,[status(thm)],[c_15925,c_144]) ).

cnf(c_15936,plain,
    k2_filter_0(k1_lattice2(sK1),k6_lattices(sK1)) = k1_filter_0(k1_lattice2(sK1)),
    inference(forward_subsumption_resolution,[status(thm)],[c_15935,c_14941]) ).

cnf(c_16406,plain,
    ( ~ l3_lattices(k1_lattice2(sK1))
    | m1_subset_1(k6_lattices(sK1),u1_struct_0(k1_lattice2(sK1)))
    | v3_struct_0(k1_lattice2(sK1)) ),
    inference(superposition,[status(thm)],[c_3365,c_2907]) ).

cnf(c_18799,plain,
    ( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
    | ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
    | ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
    | ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
    | ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
    | ~ v1_funct_1(u2_lattices(sK1))
    | ~ v1_funct_1(u1_lattices(sK1))
    | u1_struct_0(sK1) = X0 ),
    inference(superposition,[status(thm)],[c_15242,c_156]) ).

cnf(c_22325,plain,
    ( ~ l3_lattices(X0)
    | g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) = k1_lattice2(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_14634,c_80,c_3112]) ).

cnf(c_22331,plain,
    g3_lattices(u1_struct_0(k1_lattice2(sK1)),u2_lattices(k1_lattice2(sK1)),u1_lattices(k1_lattice2(sK1))) = k1_lattice2(sK1),
    inference(superposition,[status(thm)],[c_51,c_22325]) ).

cnf(c_22506,plain,
    ( ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
    | ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
    | ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
    | ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
    | ~ v1_funct_1(u2_lattices(sK1))
    | ~ v1_funct_1(u1_lattices(sK1))
    | u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
    inference(superposition,[status(thm)],[c_22331,c_18799]) ).

cnf(c_23122,plain,
    ( ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
    | ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
    | ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
    | ~ v1_funct_1(u2_lattices(sK1))
    | ~ v1_funct_1(u1_lattices(sK1))
    | ~ l3_lattices(sK1)
    | u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
    inference(superposition,[status(thm)],[c_2871,c_22506]) ).

cnf(c_23123,plain,
    ( ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
    | ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
    | ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
    | ~ v1_funct_1(u2_lattices(sK1))
    | ~ v1_funct_1(u1_lattices(sK1))
    | u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23122,c_51]) ).

cnf(c_23148,plain,
    ( ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
    | ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
    | ~ v1_funct_1(u2_lattices(sK1))
    | ~ v1_funct_1(u1_lattices(sK1))
    | ~ l3_lattices(sK1)
    | u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
    inference(superposition,[status(thm)],[c_2981,c_23123]) ).

cnf(c_23149,plain,
    ( ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
    | ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
    | ~ v1_funct_1(u2_lattices(sK1))
    | ~ v1_funct_1(u1_lattices(sK1))
    | u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23148,c_51]) ).

cnf(c_23170,plain,
    ( ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
    | ~ v1_funct_1(u2_lattices(sK1))
    | ~ v1_funct_1(u1_lattices(sK1))
    | ~ l3_lattices(sK1)
    | u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
    inference(superposition,[status(thm)],[c_2889,c_23149]) ).

cnf(c_23171,plain,
    ( ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
    | ~ v1_funct_1(u2_lattices(sK1))
    | ~ v1_funct_1(u1_lattices(sK1))
    | u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23170,c_51]) ).

cnf(c_23188,plain,
    ( ~ v1_funct_1(u2_lattices(sK1))
    | ~ v1_funct_1(u1_lattices(sK1))
    | ~ l3_lattices(sK1)
    | u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
    inference(superposition,[status(thm)],[c_2999,c_23171]) ).

cnf(c_23189,plain,
    ( ~ v1_funct_1(u2_lattices(sK1))
    | ~ v1_funct_1(u1_lattices(sK1))
    | u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23188,c_51]) ).

cnf(c_23775,plain,
    ( ~ v1_funct_1(u2_lattices(sK1))
    | ~ l3_lattices(sK1)
    | u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
    inference(superposition,[status(thm)],[c_2880,c_23189]) ).

cnf(c_23776,plain,
    ( ~ v1_funct_1(u2_lattices(sK1))
    | u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23775,c_51]) ).

cnf(c_23785,plain,
    ( ~ l3_lattices(sK1)
    | u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
    inference(superposition,[status(thm)],[c_2990,c_23776]) ).

cnf(c_23786,plain,
    u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1),
    inference(forward_subsumption_resolution,[status(thm)],[c_23785,c_51]) ).

cnf(c_23792,plain,
    ( ~ l3_lattices(k1_lattice2(sK1))
    | m1_subset_1(k6_lattices(sK1),u1_struct_0(sK1))
    | v3_struct_0(k1_lattice2(sK1)) ),
    inference(demodulation,[status(thm)],[c_16406,c_23786]) ).

cnf(c_23829,plain,
    ( ~ m1_subset_1(X0,u1_struct_0(sK1))
    | ~ l3_lattices(k1_lattice2(sK1))
    | ~ v10_lattices(k1_lattice2(sK1))
    | k2_filter_0(k1_lattice2(sK1),X0) = k2_filter_2(k1_lattice2(sK1),X0)
    | v3_struct_0(k1_lattice2(sK1)) ),
    inference(superposition,[status(thm)],[c_23786,c_205]) ).

cnf(c_23834,plain,
    ( ~ m1_subset_1(X0,u1_struct_0(sK1))
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | m1_subset_1(k5_filter_2(sK1,X0),u1_struct_0(sK1))
    | v3_struct_0(sK1) ),
    inference(superposition,[status(thm)],[c_23786,c_84]) ).

cnf(c_23857,plain,
    ( ~ m1_subset_1(X0,u1_struct_0(sK1))
    | m1_subset_1(k5_filter_2(sK1,X0),u1_struct_0(sK1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23834,c_53,c_52,c_51]) ).

cnf(c_24002,plain,
    ( ~ m1_subset_1(X0,u1_struct_0(sK1))
    | r2_hidden(k5_filter_2(sK1,X0),u1_struct_0(sK1))
    | v1_xboole_0(u1_struct_0(sK1)) ),
    inference(superposition,[status(thm)],[c_23857,c_220]) ).

cnf(c_24003,plain,
    ( ~ m1_subset_1(X0,u1_struct_0(sK1))
    | r2_hidden(k5_filter_2(sK1,X0),u1_struct_0(sK1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_24002,c_15353]) ).

cnf(c_30984,plain,
    ( ~ l3_lattices(k1_lattice2(sK1))
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | k5_filter_2(sK1,k6_lattices(sK1)) = k6_lattices(sK1)
    | v3_struct_0(k1_lattice2(sK1))
    | v3_struct_0(sK1) ),
    inference(superposition,[status(thm)],[c_23792,c_71]) ).

cnf(c_30993,plain,
    ( ~ l3_lattices(k1_lattice2(sK1))
    | k5_filter_2(sK1,k6_lattices(sK1)) = k6_lattices(sK1)
    | v3_struct_0(k1_lattice2(sK1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_30984,c_53,c_52,c_51]) ).

cnf(c_31033,plain,
    ( ~ l3_lattices(sK1)
    | k5_filter_2(sK1,k6_lattices(sK1)) = k6_lattices(sK1)
    | v3_struct_0(k1_lattice2(sK1)) ),
    inference(superposition,[status(thm)],[c_80,c_30993]) ).

cnf(c_31034,plain,
    ( k5_filter_2(sK1,k6_lattices(sK1)) = k6_lattices(sK1)
    | v3_struct_0(k1_lattice2(sK1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_31033,c_51]) ).

cnf(c_31044,plain,
    ( ~ sP0(sK1)
    | k5_filter_2(sK1,k6_lattices(sK1)) = k6_lattices(sK1) ),
    inference(superposition,[status(thm)],[c_31034,c_144]) ).

cnf(c_31045,plain,
    k5_filter_2(sK1,k6_lattices(sK1)) = k6_lattices(sK1),
    inference(forward_subsumption_resolution,[status(thm)],[c_31044,c_14941]) ).

cnf(c_31142,plain,
    ( ~ m1_subset_1(k6_lattices(sK1),u1_struct_0(sK1))
    | r2_hidden(k6_lattices(sK1),u1_struct_0(sK1)) ),
    inference(superposition,[status(thm)],[c_31045,c_24003]) ).

cnf(c_31870,plain,
    ( ~ l3_lattices(sK1)
    | r2_hidden(k6_lattices(sK1),u1_struct_0(sK1))
    | v3_struct_0(sK1) ),
    inference(superposition,[status(thm)],[c_3010,c_31142]) ).

cnf(c_31872,plain,
    r2_hidden(k6_lattices(sK1),u1_struct_0(sK1)),
    inference(forward_subsumption_resolution,[status(thm)],[c_31870,c_53,c_51]) ).

cnf(c_46259,plain,
    ( ~ l3_lattices(X0)
    | ~ v10_lattices(X0)
    | r1_filter_2(u1_struct_0(X0),k17_filter_2(X0),k17_filter_2(X0))
    | v1_xboole_0(u1_struct_0(X0))
    | v3_struct_0(X0) ),
    inference(superposition,[status(thm)],[c_4019,c_210]) ).

cnf(c_134066,plain,
    ( ~ l3_lattices(sK1)
    | m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
    inference(instantiation,[status(thm)],[c_2871]) ).

cnf(c_134069,plain,
    ( ~ l3_lattices(sK1)
    | m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
    inference(instantiation,[status(thm)],[c_2981]) ).

cnf(c_143314,plain,
    ( ~ l3_lattices(sK1)
    | v1_funct_1(u1_lattices(sK1)) ),
    inference(instantiation,[status(thm)],[c_2880]) ).

cnf(c_143318,plain,
    ( ~ l3_lattices(sK1)
    | v1_funct_1(u2_lattices(sK1)) ),
    inference(instantiation,[status(thm)],[c_2990]) ).

cnf(c_149402,plain,
    ( ~ l3_lattices(sK1)
    | v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
    inference(instantiation,[status(thm)],[c_2999]) ).

cnf(c_149403,plain,
    ( ~ l3_lattices(sK1)
    | v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
    inference(instantiation,[status(thm)],[c_2889]) ).

cnf(c_362985,plain,
    ( ~ m1_subset_1(X0,u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v9_lattices(X1)
    | ~ v8_lattices(X1)
    | ~ v6_lattices(X1)
    | r3_lattices(X1,X0,X0)
    | v3_struct_0(X1) ),
    inference(resolution,[status(thm)],[c_216,c_2907]) ).

cnf(c_375684,plain,
    ( ~ sP0(sK1)
    | v10_lattices(k1_lattice2(sK1)) ),
    inference(instantiation,[status(thm)],[c_136]) ).

cnf(c_379305,plain,
    ( ~ l3_lattices(sK1)
    | l3_lattices(k1_lattice2(sK1)) ),
    inference(instantiation,[status(thm)],[c_80]) ).

cnf(c_404422,plain,
    ( ~ v3_struct_0(k1_lattice2(sK1))
    | ~ sP0(sK1) ),
    inference(instantiation,[status(thm)],[c_144]) ).

cnf(c_631408,plain,
    ( ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | v9_lattices(sK1) ),
    inference(superposition,[status(thm)],[c_51,c_57]) ).

cnf(c_631413,plain,
    v9_lattices(sK1),
    inference(forward_subsumption_resolution,[status(thm)],[c_631408,c_53,c_52]) ).

cnf(c_631422,plain,
    ( ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | v8_lattices(sK1) ),
    inference(superposition,[status(thm)],[c_51,c_58]) ).

cnf(c_631427,plain,
    v8_lattices(sK1),
    inference(forward_subsumption_resolution,[status(thm)],[c_631422,c_53,c_52]) ).

cnf(c_631436,plain,
    ( ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | v6_lattices(sK1) ),
    inference(superposition,[status(thm)],[c_51,c_60]) ).

cnf(c_631441,plain,
    v6_lattices(sK1),
    inference(forward_subsumption_resolution,[status(thm)],[c_631436,c_53,c_52]) ).

cnf(c_631450,plain,
    ( ~ l3_lattices(sK1)
    | u1_struct_0(sK1) = k1_filter_0(sK1)
    | v3_struct_0(sK1) ),
    inference(superposition,[status(thm)],[c_52,c_68]) ).

cnf(c_631455,plain,
    u1_struct_0(sK1) = k1_filter_0(sK1),
    inference(forward_subsumption_resolution,[status(thm)],[c_631450,c_53,c_51]) ).

cnf(c_631460,plain,
    g3_lattices(u1_struct_0(sK1),u1_lattices(sK1),u2_lattices(sK1)) = k1_lattice2(sK1),
    inference(superposition,[status(thm)],[c_51,c_69]) ).

cnf(c_631493,plain,
    ( ~ l3_lattices(sK1)
    | u1_struct_0(sK1) = k17_filter_2(sK1)
    | v3_struct_0(sK1) ),
    inference(superposition,[status(thm)],[c_52,c_72]) ).

cnf(c_631498,plain,
    u1_struct_0(sK1) = k17_filter_2(sK1),
    inference(forward_subsumption_resolution,[status(thm)],[c_631493,c_53,c_51]) ).

cnf(c_631499,plain,
    ~ r1_filter_2(u1_struct_0(sK1),u1_struct_0(sK1),k18_filter_2(sK1,k6_lattices(sK1))),
    inference(demodulation,[status(thm)],[c_49,c_631498]) ).

cnf(c_631586,plain,
    ( ~ l3_lattices(k1_lattice2(X0))
    | ~ l3_lattices(X0)
    | g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) = k1_lattice2(X0) ),
    inference(superposition,[status(thm)],[c_81,c_54]) ).

cnf(c_631842,plain,
    ( ~ l3_lattices(k1_lattice2(X0))
    | ~ sP0(X0)
    | u1_struct_0(k1_lattice2(X0)) = k1_filter_0(k1_lattice2(X0))
    | v3_struct_0(k1_lattice2(X0)) ),
    inference(superposition,[status(thm)],[c_136,c_68]) ).

cnf(c_631883,plain,
    ( ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | sP0(sK1) ),
    inference(superposition,[status(thm)],[c_51,c_145]) ).

cnf(c_631905,plain,
    sP0(sK1),
    inference(forward_subsumption_resolution,[status(thm)],[c_631883,c_53,c_52]) ).

cnf(c_631956,plain,
    ( ~ r3_lattices(X0,X1,X2)
    | ~ m1_subset_1(X1,u1_struct_0(X0))
    | ~ m1_subset_1(X2,u1_struct_0(X0))
    | ~ l3_lattices(X0)
    | ~ v10_lattices(X0)
    | sK13(X2,X0,X1) = X2
    | v3_struct_0(X0) ),
    inference(superposition,[status(thm)],[c_146,c_148]) ).

cnf(c_632328,plain,
    ( ~ m1_subset_1(X0,u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v9_lattices(X1)
    | ~ v8_lattices(X1)
    | ~ v6_lattices(X1)
    | r3_lattices(X1,X0,X0)
    | v3_struct_0(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_216,c_362985]) ).

cnf(c_632477,plain,
    ( ~ l3_lattices(k1_lattice2(sK1))
    | ~ v10_lattices(k1_lattice2(sK1))
    | k2_filter_0(k1_lattice2(sK1),k5_lattices(k1_lattice2(sK1))) = k1_filter_0(k1_lattice2(sK1))
    | v3_struct_0(k1_lattice2(sK1)) ),
    inference(superposition,[status(thm)],[c_3372,c_219]) ).

cnf(c_632479,plain,
    ( ~ l3_lattices(k1_lattice2(sK1))
    | ~ v10_lattices(k1_lattice2(sK1))
    | k2_filter_0(k1_lattice2(sK1),k6_lattices(sK1)) = k1_filter_0(k1_lattice2(sK1))
    | v3_struct_0(k1_lattice2(sK1)) ),
    inference(light_normalisation,[status(thm)],[c_632477,c_3365]) ).

cnf(c_632507,plain,
    ( ~ m1_subset_1(X0,u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | r2_hidden(k5_filter_2(X1,X0),u1_struct_0(k1_lattice2(X1)))
    | v1_xboole_0(u1_struct_0(k1_lattice2(X1)))
    | v3_struct_0(X1) ),
    inference(superposition,[status(thm)],[c_84,c_220]) ).

cnf(c_632775,plain,
    ( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK13(X0,X1,X2))) = k18_filter_2(X1,sK13(X0,X1,X2))
    | v3_struct_0(X1) ),
    inference(superposition,[status(thm)],[c_149,c_224]) ).

cnf(c_633436,plain,
    ( ~ l3_lattices(X0)
    | ~ v10_lattices(X0)
    | k5_filter_2(X0,k6_lattices(X0)) = k6_lattices(X0)
    | v3_struct_0(X0) ),
    inference(superposition,[status(thm)],[c_3010,c_71]) ).

cnf(c_633813,plain,
    ( ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | m1_filter_0(u1_struct_0(sK1),sK1)
    | v3_struct_0(sK1) ),
    inference(superposition,[status(thm)],[c_631455,c_78]) ).

cnf(c_633814,plain,
    m1_filter_0(u1_struct_0(sK1),sK1),
    inference(forward_subsumption_resolution,[status(thm)],[c_633813,c_53,c_52,c_51]) ).

cnf(c_633855,plain,
    ( ~ v1_xboole_0(u1_struct_0(sK1))
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | v3_struct_0(sK1) ),
    inference(superposition,[status(thm)],[c_633814,c_92]) ).

cnf(c_633856,plain,
    ~ v1_xboole_0(u1_struct_0(sK1)),
    inference(forward_subsumption_resolution,[status(thm)],[c_633855,c_53,c_52,c_51]) ).

cnf(c_634054,plain,
    ( ~ l3_lattices(X0)
    | ~ v10_lattices(X0)
    | r1_filter_2(u1_struct_0(X0),k17_filter_2(X0),k17_filter_2(X0))
    | v1_xboole_0(u1_struct_0(X0))
    | v3_struct_0(X0) ),
    inference(superposition,[status(thm)],[c_4019,c_210]) ).

cnf(c_634337,plain,
    ( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
    | ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
    | ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
    | ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
    | ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
    | ~ v1_funct_1(u2_lattices(sK1))
    | ~ v1_funct_1(u1_lattices(sK1))
    | u1_struct_0(sK1) = X0 ),
    inference(superposition,[status(thm)],[c_631460,c_156]) ).

cnf(c_634761,plain,
    ( ~ l3_lattices(X0)
    | g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) = k1_lattice2(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_631586,c_80,c_3112]) ).

cnf(c_634767,plain,
    g3_lattices(u1_struct_0(k1_lattice2(sK1)),u2_lattices(k1_lattice2(sK1)),u1_lattices(k1_lattice2(sK1))) = k1_lattice2(sK1),
    inference(superposition,[status(thm)],[c_51,c_634761]) ).

cnf(c_636310,plain,
    ( u1_struct_0(k1_lattice2(X0)) = k1_filter_0(k1_lattice2(X0))
    | ~ sP0(X0)
    | ~ l3_lattices(k1_lattice2(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_631842,c_5490]) ).

cnf(c_636311,plain,
    ( ~ l3_lattices(k1_lattice2(X0))
    | ~ sP0(X0)
    | u1_struct_0(k1_lattice2(X0)) = k1_filter_0(k1_lattice2(X0)) ),
    inference(renaming,[status(thm)],[c_636310]) ).

cnf(c_636318,plain,
    ( ~ l3_lattices(X0)
    | ~ sP0(X0)
    | u1_struct_0(k1_lattice2(X0)) = k1_filter_0(k1_lattice2(X0)) ),
    inference(superposition,[status(thm)],[c_80,c_636311]) ).

cnf(c_639340,plain,
    k2_filter_0(k1_lattice2(sK1),k6_lattices(sK1)) = k1_filter_0(k1_lattice2(sK1)),
    inference(global_subsumption_just,[status(thm)],[c_632479,c_15936]) ).

cnf(c_643511,plain,
    ( ~ r3_lattices(X0,X1,X2)
    | ~ m1_subset_1(X1,u1_struct_0(X0))
    | ~ m1_subset_1(X2,u1_struct_0(X0))
    | ~ l3_lattices(X0)
    | ~ v10_lattices(X0)
    | k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK13(X2,X0,X1))) = k18_filter_2(X0,sK13(X2,X0,X1))
    | v3_struct_0(X0) ),
    inference(superposition,[status(thm)],[c_146,c_632775]) ).

cnf(c_650604,plain,
    ( ~ l3_lattices(sK1)
    | k5_filter_2(sK1,k6_lattices(sK1)) = k6_lattices(sK1)
    | v3_struct_0(sK1) ),
    inference(superposition,[status(thm)],[c_52,c_633436]) ).

cnf(c_650610,plain,
    k5_filter_2(sK1,k6_lattices(sK1)) = k6_lattices(sK1),
    inference(forward_subsumption_resolution,[status(thm)],[c_650604,c_53,c_51]) ).

cnf(c_656496,plain,
    ( r1_filter_2(u1_struct_0(X0),k17_filter_2(X0),k17_filter_2(X0))
    | ~ v10_lattices(X0)
    | ~ l3_lattices(X0)
    | v3_struct_0(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_634054,c_118,c_2898,c_46259]) ).

cnf(c_656497,plain,
    ( ~ l3_lattices(X0)
    | ~ v10_lattices(X0)
    | r1_filter_2(u1_struct_0(X0),k17_filter_2(X0),k17_filter_2(X0))
    | v3_struct_0(X0) ),
    inference(renaming,[status(thm)],[c_656496]) ).

cnf(c_656510,plain,
    ( ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | r1_filter_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
    | v3_struct_0(sK1) ),
    inference(superposition,[status(thm)],[c_631498,c_656497]) ).

cnf(c_656521,plain,
    r1_filter_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1)),
    inference(forward_subsumption_resolution,[status(thm)],[c_656510,c_53,c_52,c_51]) ).

cnf(c_657564,plain,
    ( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
    | u1_struct_0(sK1) = X0 ),
    inference(global_subsumption_just,[status(thm)],[c_634337,c_51,c_18799,c_134066,c_134069,c_143314,c_143318,c_149402,c_149403]) ).

cnf(c_662364,plain,
    u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1),
    inference(superposition,[status(thm)],[c_634767,c_657564]) ).

cnf(c_664741,plain,
    ( ~ m1_subset_1(X0,u1_struct_0(sK1))
    | ~ l3_lattices(k1_lattice2(sK1))
    | ~ v10_lattices(k1_lattice2(sK1))
    | k2_filter_0(k1_lattice2(sK1),X0) = k2_filter_2(k1_lattice2(sK1),X0)
    | v3_struct_0(k1_lattice2(sK1)) ),
    inference(superposition,[status(thm)],[c_662364,c_205]) ).

cnf(c_664748,plain,
    ( ~ m1_subset_1(X0,u1_struct_0(sK1))
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | r2_hidden(k5_filter_2(sK1,X0),u1_struct_0(sK1))
    | v1_xboole_0(u1_struct_0(k1_lattice2(sK1)))
    | v3_struct_0(sK1) ),
    inference(superposition,[status(thm)],[c_662364,c_632507]) ).

cnf(c_664906,plain,
    ( ~ m1_subset_1(X0,u1_struct_0(sK1))
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | r2_hidden(k5_filter_2(sK1,X0),u1_struct_0(sK1))
    | v1_xboole_0(u1_struct_0(sK1))
    | v3_struct_0(sK1) ),
    inference(light_normalisation,[status(thm)],[c_664748,c_662364]) ).

cnf(c_664907,plain,
    ( ~ m1_subset_1(X0,u1_struct_0(sK1))
    | r2_hidden(k5_filter_2(sK1,X0),u1_struct_0(sK1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_664906,c_53,c_633856,c_52,c_51]) ).

cnf(c_670526,plain,
    ( ~ m1_subset_1(k6_lattices(sK1),u1_struct_0(sK1))
    | r2_hidden(k6_lattices(sK1),u1_struct_0(sK1)) ),
    inference(superposition,[status(thm)],[c_650610,c_664907]) ).

cnf(c_675710,plain,
    r2_hidden(k6_lattices(sK1),u1_struct_0(sK1)),
    inference(global_subsumption_just,[status(thm)],[c_670526,c_31872]) ).

cnf(c_675716,plain,
    m1_subset_1(k6_lattices(sK1),u1_struct_0(sK1)),
    inference(superposition,[status(thm)],[c_675710,c_218]) ).

cnf(c_675757,plain,
    ( ~ l3_lattices(sK1)
    | ~ v9_lattices(sK1)
    | ~ v8_lattices(sK1)
    | ~ v6_lattices(sK1)
    | r3_lattices(sK1,k6_lattices(sK1),k6_lattices(sK1))
    | v3_struct_0(sK1) ),
    inference(superposition,[status(thm)],[c_675716,c_632328]) ).

cnf(c_675768,plain,
    r3_lattices(sK1,k6_lattices(sK1),k6_lattices(sK1)),
    inference(forward_subsumption_resolution,[status(thm)],[c_675757,c_53,c_631441,c_631427,c_631413,c_51]) ).

cnf(c_676226,plain,
    ( ~ m1_subset_1(k6_lattices(sK1),u1_struct_0(sK1))
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | sK13(k6_lattices(sK1),sK1,k6_lattices(sK1)) = k6_lattices(sK1)
    | v3_struct_0(sK1) ),
    inference(superposition,[status(thm)],[c_675768,c_631956]) ).

cnf(c_676227,plain,
    sK13(k6_lattices(sK1),sK1,k6_lattices(sK1)) = k6_lattices(sK1),
    inference(forward_subsumption_resolution,[status(thm)],[c_676226,c_53,c_52,c_51,c_675716]) ).

cnf(c_679073,plain,
    ( ~ l3_lattices(sK1)
    | u1_struct_0(k1_lattice2(sK1)) = k1_filter_0(k1_lattice2(sK1)) ),
    inference(superposition,[status(thm)],[c_631905,c_636318]) ).

cnf(c_679076,plain,
    ( ~ l3_lattices(sK1)
    | k1_filter_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
    inference(light_normalisation,[status(thm)],[c_679073,c_662364]) ).

cnf(c_679077,plain,
    k1_filter_0(k1_lattice2(sK1)) = u1_struct_0(sK1),
    inference(forward_subsumption_resolution,[status(thm)],[c_679076,c_51]) ).

cnf(c_679080,plain,
    k2_filter_0(k1_lattice2(sK1),k6_lattices(sK1)) = u1_struct_0(sK1),
    inference(demodulation,[status(thm)],[c_639340,c_679077]) ).

cnf(c_771959,plain,
    ( ~ m1_subset_1(k6_lattices(sK1),u1_struct_0(sK1))
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | k2_filter_2(k1_lattice2(sK1),k5_filter_2(sK1,sK13(k6_lattices(sK1),sK1,k6_lattices(sK1)))) = k18_filter_2(sK1,sK13(k6_lattices(sK1),sK1,k6_lattices(sK1)))
    | v3_struct_0(sK1) ),
    inference(superposition,[status(thm)],[c_675768,c_643511]) ).

cnf(c_771965,plain,
    ( ~ m1_subset_1(k6_lattices(sK1),u1_struct_0(sK1))
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | k2_filter_2(k1_lattice2(sK1),k6_lattices(sK1)) = k18_filter_2(sK1,k6_lattices(sK1))
    | v3_struct_0(sK1) ),
    inference(light_normalisation,[status(thm)],[c_771959,c_650610,c_676227]) ).

cnf(c_771966,plain,
    k2_filter_2(k1_lattice2(sK1),k6_lattices(sK1)) = k18_filter_2(sK1,k6_lattices(sK1)),
    inference(forward_subsumption_resolution,[status(thm)],[c_771965,c_53,c_52,c_51,c_675716]) ).

cnf(c_965269,plain,
    ( k2_filter_0(k1_lattice2(sK1),X0) = k2_filter_2(k1_lattice2(sK1),X0)
    | ~ m1_subset_1(X0,u1_struct_0(sK1)) ),
    inference(global_subsumption_just,[status(thm)],[c_664741,c_51,c_53,c_4825,c_23829,c_375684,c_379305,c_404422]) ).

cnf(c_965270,plain,
    ( ~ m1_subset_1(X0,u1_struct_0(sK1))
    | k2_filter_0(k1_lattice2(sK1),X0) = k2_filter_2(k1_lattice2(sK1),X0) ),
    inference(renaming,[status(thm)],[c_965269]) ).

cnf(c_965309,plain,
    k2_filter_0(k1_lattice2(sK1),k6_lattices(sK1)) = k2_filter_2(k1_lattice2(sK1),k6_lattices(sK1)),
    inference(superposition,[status(thm)],[c_675716,c_965270]) ).

cnf(c_965338,plain,
    k18_filter_2(sK1,k6_lattices(sK1)) = u1_struct_0(sK1),
    inference(light_normalisation,[status(thm)],[c_965309,c_771966,c_679080]) ).

cnf(c_965528,plain,
    ~ r1_filter_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1)),
    inference(demodulation,[status(thm)],[c_631499,c_965338]) ).

cnf(c_965529,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_965528,c_656521]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT306+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n013.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu Aug 24 07:00:17 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 287.48/38.40  % SZS status Started for theBenchmark.p
% 287.48/38.40  % SZS status Theorem for theBenchmark.p
% 287.48/38.40  
% 287.48/38.40  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 287.48/38.40  
% 287.48/38.40  ------  iProver source info
% 287.48/38.40  
% 287.48/38.40  git: date: 2023-05-31 18:12:56 +0000
% 287.48/38.40  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 287.48/38.40  git: non_committed_changes: false
% 287.48/38.40  git: last_make_outside_of_git: false
% 287.48/38.40  
% 287.48/38.40  ------ Parsing...
% 287.48/38.40  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 287.48/38.40  
% 287.48/38.40  ------ Preprocessing... sup_sim: 0  sf_s  rm: 10 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e  sup_sim: 0  sf_s  rm: 13 0s  sf_e  pe_s  pe_e 
% 287.48/38.40  
% 287.48/38.40  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 287.48/38.40  
% 287.48/38.40  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 287.48/38.40  ------ Proving...
% 287.48/38.40  ------ Problem Properties 
% 287.48/38.40  
% 287.48/38.40  
% 287.48/38.40  clauses                                 161
% 287.48/38.40  conjectures                             4
% 287.48/38.40  EPR                                     47
% 287.48/38.40  Horn                                    106
% 287.48/38.40  unary                                   56
% 287.48/38.40  binary                                  36
% 287.48/38.40  lits                                    454
% 287.48/38.40  lits eq                                 28
% 287.48/38.40  fd_pure                                 0
% 287.48/38.40  fd_pseudo                               0
% 287.48/38.40  fd_cond                                 1
% 287.48/38.40  fd_pseudo_cond                          7
% 287.48/38.40  AC symbols                              0
% 287.48/38.40  
% 287.48/38.40  ------ Schedule dynamic 5 is on 
% 287.48/38.40  
% 287.48/38.40  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 287.48/38.40  
% 287.48/38.40  
% 287.48/38.40  ------ 
% 287.48/38.40  Current options:
% 287.48/38.40  ------ 
% 287.48/38.40  
% 287.48/38.40  
% 287.48/38.40  
% 287.48/38.40  
% 287.48/38.40  ------ Proving...
% 287.48/38.40  Proof_search_loop: time out after: 11388 full_loop iterations
% 287.48/38.40  
% 287.48/38.40  ------ Input Options"--res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 287.48/38.40  
% 287.48/38.40  
% 287.48/38.40  ------ 
% 287.48/38.40  Current options:
% 287.48/38.40  ------ 
% 287.48/38.40  
% 287.48/38.40  
% 287.48/38.40  
% 287.48/38.40  
% 287.48/38.40  ------ Proving...
% 287.48/38.40  Proof_search_loop: time out after: 18276 full_loop iterations
% 287.48/38.40  
% 287.48/38.40  ------ Option_1: Negative Selections Time Limit: 35.
% 287.48/38.40  
% 287.48/38.40  
% 287.48/38.40  ------ 
% 287.48/38.40  Current options:
% 287.48/38.40  ------ 
% 287.48/38.40  
% 287.48/38.40  
% 287.48/38.40  
% 287.48/38.40  
% 287.48/38.40  ------ Proving...
% 287.48/38.40  
% 287.48/38.40  
% 287.48/38.40  % SZS status Theorem for theBenchmark.p
% 287.48/38.40  
% 287.48/38.40  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 287.48/38.40  
% 287.48/38.41  
%------------------------------------------------------------------------------