TSTP Solution File: LAT311+1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LAT311+1 : TPTP v8.2.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.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 : Mon Jun 24 10:25:22 EDT 2024

% Result   : Theorem 192.75s 25.72s
% Output   : CNFRefutation 192.75s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,u1_struct_0(X0))
         => ! [X2] :
              ( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
                & ~ v1_xboole_0(X2) )
             => ( r2_hidden(X1,X2)
               => r1_tarski(k18_filter_2(X0,X1),k19_filter_2(X0,X2)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_filter_2) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( l3_lattices(X0)
          & v10_lattices(X0)
          & ~ v3_struct_0(X0) )
       => ! [X1] :
            ( m1_subset_1(X1,u1_struct_0(X0))
           => ! [X2] :
                ( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
                  & ~ v1_xboole_0(X2) )
               => ( r2_hidden(X1,X2)
                 => r1_tarski(k18_filter_2(X0,X1),k19_filter_2(X0,X2)) ) ) ) ),
    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(f10,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(f11,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,u1_struct_0(X0))
         => k2_filter_0(X0,X1) = a_2_0_filter_0(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_filter_0) ).

fof(f12,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(f13,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
         => k7_filter_2(X0,X1) = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_filter_2) ).

fof(f16,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) )
     => ( l3_lattices(g3_lattices(X0,X1,X2))
        & v3_lattices(g3_lattices(X0,X1,X2)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_g3_lattices) ).

fof(f19,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(f30,axiom,
    ! [X0] :
      ( l1_lattices(X0)
     => l1_struct_0(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_lattices) ).

fof(f33,axiom,
    ! [X0] :
      ( l3_lattices(X0)
     => ( l2_lattices(X0)
        & l1_lattices(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).

fof(f41,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(f43,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(f57,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(f63,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)
        & ~ v1_xboole_0(X0) )
     => ( v3_lattices(g3_lattices(X0,X1,X2))
        & ~ v3_struct_0(g3_lattices(X0,X1,X2)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_lattices) ).

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(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(f84,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(f85,axiom,
    ! [X0,X1] :
      ( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
        & ~ v1_xboole_0(X1)
        & l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => k3_filter_0(X0,X1) = k3_filter_2(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k3_filter_2) ).

fof(f87,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(f89,axiom,
    ! [X0,X1] : r1_tarski(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

fof(f92,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,u1_struct_0(X0))
         => ! [X2] :
              ( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
                & ~ v1_xboole_0(X2) )
             => ( r2_hidden(X1,X2)
               => r1_tarski(k2_filter_0(X0,X1),k3_filter_0(X0,X2)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_filter_0) ).

fof(f95,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(f96,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
            & ~ v1_xboole_0(X1) )
         => ! [X2] :
              ( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
                & ~ v1_xboole_0(X2) )
             => ( k3_filter_2(k1_lattice2(X0),X2) = k19_filter_2(X0,k8_filter_2(X0,X2))
                & k3_filter_2(X0,k8_filter_2(X0,X2)) = k19_filter_2(k1_lattice2(X0),X2)
                & k3_filter_2(X0,X1) = k19_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1))
                & k19_filter_2(X0,X1) = k3_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_filter_2) ).

fof(f97,axiom,
    ! [X0,X1] :
      ( m1_subset_1(X0,k1_zfmisc_1(X1))
    <=> r1_tarski(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).

fof(f98,axiom,
    ! [X0,X1,X2] :
      ( ( m1_subset_1(X1,k1_zfmisc_1(X2))
        & r2_hidden(X0,X1) )
     => m1_subset_1(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).

fof(f101,axiom,
    ! [X0,X1] :
      ~ ( v1_xboole_0(X1)
        & r2_hidden(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).

fof(f103,plain,
    ! [X0] : r1_tarski(X0,X0),
    inference(rectify,[],[f89]) ).

fof(f114,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ~ r1_tarski(k18_filter_2(X0,X1),k19_filter_2(X0,X2))
              & r2_hidden(X1,X2)
              & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
              & ~ v1_xboole_0(X2) )
          & m1_subset_1(X1,u1_struct_0(X0)) )
      & l3_lattices(X0)
      & v10_lattices(X0)
      & ~ v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f115,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ~ r1_tarski(k18_filter_2(X0,X1),k19_filter_2(X0,X2))
              & r2_hidden(X1,X2)
              & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
              & ~ v1_xboole_0(X2) )
          & m1_subset_1(X1,u1_struct_0(X0)) )
      & l3_lattices(X0)
      & v10_lattices(X0)
      & ~ v3_struct_0(X0) ),
    inference(flattening,[],[f114]) ).

fof(f116,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(f117,plain,
    ! [X0] :
      ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
      | ~ v3_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f116]) ).

fof(f127,plain,
    ! [X0] :
      ( k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f128,plain,
    ! [X0] :
      ( ! [X1] :
          ( k2_filter_0(X0,X1) = a_2_0_filter_0(X0,X1)
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f129,plain,
    ! [X0] :
      ( ! [X1] :
          ( k2_filter_0(X0,X1) = a_2_0_filter_0(X0,X1)
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f128]) ).

fof(f130,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,[],[f12]) ).

fof(f131,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,[],[f130]) ).

fof(f132,plain,
    ! [X0] :
      ( ! [X1] :
          ( k7_filter_2(X0,X1) = X1
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f133,plain,
    ! [X0] :
      ( ! [X1] :
          ( k7_filter_2(X0,X1) = X1
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f132]) ).

fof(f138,plain,
    ! [X0,X1,X2] :
      ( ( l3_lattices(g3_lattices(X0,X1,X2))
        & v3_lattices(g3_lattices(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) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f139,plain,
    ! [X0,X1,X2] :
      ( ( l3_lattices(g3_lattices(X0,X1,X2))
        & v3_lattices(g3_lattices(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) ),
    inference(flattening,[],[f138]) ).

fof(f144,plain,
    ! [X0] :
      ( ( l3_lattices(k1_lattice2(X0))
        & v3_lattices(k1_lattice2(X0)) )
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f159,plain,
    ! [X0] :
      ( l1_struct_0(X0)
      | ~ l1_lattices(X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f161,plain,
    ! [X0] :
      ( ( l2_lattices(X0)
        & l1_lattices(X0) )
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f171,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,[],[f41]) ).

fof(f172,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,[],[f43]) ).

fof(f185,plain,
    ! [X0] :
      ( ~ v1_xboole_0(u1_struct_0(X0))
      | ~ l1_struct_0(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f186,plain,
    ! [X0] :
      ( ~ v1_xboole_0(u1_struct_0(X0))
      | ~ l1_struct_0(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f185]) ).

fof(f193,plain,
    ! [X0,X1,X2] :
      ( ( v3_lattices(g3_lattices(X0,X1,X2))
        & ~ v3_struct_0(g3_lattices(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)
      | v1_xboole_0(X0) ),
    inference(ennf_transformation,[],[f63]) ).

fof(f194,plain,
    ! [X0,X1,X2] :
      ( ( v3_lattices(g3_lattices(X0,X1,X2))
        & ~ v3_struct_0(g3_lattices(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)
      | v1_xboole_0(X0) ),
    inference(flattening,[],[f193]) ).

fof(f201,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(f202,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,[],[f201]) ).

fof(f207,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(f208,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,[],[f207]) ).

fof(f214,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,[],[f84]) ).

fof(f215,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,[],[f214]) ).

fof(f216,plain,
    ! [X0,X1] :
      ( k3_filter_0(X0,X1) = k3_filter_2(X0,X1)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | v1_xboole_0(X1)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f85]) ).

fof(f217,plain,
    ! [X0,X1] :
      ( k3_filter_0(X0,X1) = k3_filter_2(X0,X1)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | v1_xboole_0(X1)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f216]) ).

fof(f225,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( r1_tarski(k2_filter_0(X0,X1),k3_filter_0(X0,X2))
              | ~ r2_hidden(X1,X2)
              | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
              | v1_xboole_0(X2) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f92]) ).

fof(f226,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( r1_tarski(k2_filter_0(X0,X1),k3_filter_0(X0,X2))
              | ~ r2_hidden(X1,X2)
              | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
              | v1_xboole_0(X2) )
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f225]) ).

fof(f230,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,[],[f95]) ).

fof(f231,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,[],[f230]) ).

fof(f232,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( k3_filter_2(k1_lattice2(X0),X2) = k19_filter_2(X0,k8_filter_2(X0,X2))
                & k3_filter_2(X0,k8_filter_2(X0,X2)) = k19_filter_2(k1_lattice2(X0),X2)
                & k3_filter_2(X0,X1) = k19_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1))
                & k19_filter_2(X0,X1) = k3_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1)) )
              | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
              | v1_xboole_0(X2) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | v1_xboole_0(X1) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f96]) ).

fof(f233,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( k3_filter_2(k1_lattice2(X0),X2) = k19_filter_2(X0,k8_filter_2(X0,X2))
                & k3_filter_2(X0,k8_filter_2(X0,X2)) = k19_filter_2(k1_lattice2(X0),X2)
                & k3_filter_2(X0,X1) = k19_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1))
                & k19_filter_2(X0,X1) = k3_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1)) )
              | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
              | v1_xboole_0(X2) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | v1_xboole_0(X1) )
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f232]) ).

fof(f234,plain,
    ! [X0,X1,X2] :
      ( m1_subset_1(X0,X2)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
      | ~ r2_hidden(X0,X1) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f235,plain,
    ! [X0,X1,X2] :
      ( m1_subset_1(X0,X2)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
      | ~ r2_hidden(X0,X1) ),
    inference(flattening,[],[f234]) ).

fof(f238,plain,
    ! [X0,X1] :
      ( ~ v1_xboole_0(X1)
      | ~ r2_hidden(X0,X1) ),
    inference(ennf_transformation,[],[f101]) ).

fof(f240,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(f241,plain,
    ! [X0] :
      ( sP0(X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(definition_folding,[],[f202,f240]) ).

fof(f242,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ~ r1_tarski(k18_filter_2(X0,X1),k19_filter_2(X0,X2))
                & r2_hidden(X1,X2)
                & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
                & ~ v1_xboole_0(X2) )
            & m1_subset_1(X1,u1_struct_0(X0)) )
        & l3_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ~ r1_tarski(k18_filter_2(sK1,X1),k19_filter_2(sK1,X2))
              & r2_hidden(X1,X2)
              & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK1)))
              & ~ v1_xboole_0(X2) )
          & m1_subset_1(X1,u1_struct_0(sK1)) )
      & l3_lattices(sK1)
      & v10_lattices(sK1)
      & ~ v3_struct_0(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f243,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ~ r1_tarski(k18_filter_2(sK1,X1),k19_filter_2(sK1,X2))
            & r2_hidden(X1,X2)
            & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK1)))
            & ~ v1_xboole_0(X2) )
        & m1_subset_1(X1,u1_struct_0(sK1)) )
   => ( ? [X2] :
          ( ~ r1_tarski(k18_filter_2(sK1,sK2),k19_filter_2(sK1,X2))
          & r2_hidden(sK2,X2)
          & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK1)))
          & ~ v1_xboole_0(X2) )
      & m1_subset_1(sK2,u1_struct_0(sK1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f244,plain,
    ( ? [X2] :
        ( ~ r1_tarski(k18_filter_2(sK1,sK2),k19_filter_2(sK1,X2))
        & r2_hidden(sK2,X2)
        & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK1)))
        & ~ v1_xboole_0(X2) )
   => ( ~ r1_tarski(k18_filter_2(sK1,sK2),k19_filter_2(sK1,sK3))
      & r2_hidden(sK2,sK3)
      & m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
      & ~ v1_xboole_0(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f245,plain,
    ( ~ r1_tarski(k18_filter_2(sK1,sK2),k19_filter_2(sK1,sK3))
    & r2_hidden(sK2,sK3)
    & m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
    & ~ v1_xboole_0(sK3)
    & m1_subset_1(sK2,u1_struct_0(sK1))
    & l3_lattices(sK1)
    & v10_lattices(sK1)
    & ~ v3_struct_0(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f115,f244,f243,f242]) ).

fof(f268,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,[],[f240]) ).

fof(f304,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,[],[f87]) ).

fof(f309,plain,
    ! [X0,X1] :
      ( ( m1_subset_1(X0,k1_zfmisc_1(X1))
        | ~ r1_tarski(X0,X1) )
      & ( r1_tarski(X0,X1)
        | ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
    inference(nnf_transformation,[],[f97]) ).

fof(f310,plain,
    ~ v3_struct_0(sK1),
    inference(cnf_transformation,[],[f245]) ).

fof(f311,plain,
    v10_lattices(sK1),
    inference(cnf_transformation,[],[f245]) ).

fof(f312,plain,
    l3_lattices(sK1),
    inference(cnf_transformation,[],[f245]) ).

fof(f313,plain,
    m1_subset_1(sK2,u1_struct_0(sK1)),
    inference(cnf_transformation,[],[f245]) ).

fof(f314,plain,
    ~ v1_xboole_0(sK3),
    inference(cnf_transformation,[],[f245]) ).

fof(f315,plain,
    m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))),
    inference(cnf_transformation,[],[f245]) ).

fof(f316,plain,
    r2_hidden(sK2,sK3),
    inference(cnf_transformation,[],[f245]) ).

fof(f317,plain,
    ~ r1_tarski(k18_filter_2(sK1,sK2),k19_filter_2(sK1,sK3)),
    inference(cnf_transformation,[],[f245]) ).

fof(f318,plain,
    ! [X0] :
      ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
      | ~ v3_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f333,plain,
    ! [X0] :
      ( k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f334,plain,
    ! [X0,X1] :
      ( k2_filter_0(X0,X1) = a_2_0_filter_0(X0,X1)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f335,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,[],[f131]) ).

fof(f336,plain,
    ! [X0,X1] :
      ( k7_filter_2(X0,X1) = X1
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f339,plain,
    ! [X2,X0,X1] :
      ( v3_lattices(g3_lattices(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) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f340,plain,
    ! [X2,X0,X1] :
      ( l3_lattices(g3_lattices(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) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f344,plain,
    ! [X0] :
      ( l3_lattices(k1_lattice2(X0))
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f352,plain,
    ! [X0] :
      ( l1_struct_0(X0)
      | ~ l1_lattices(X0) ),
    inference(cnf_transformation,[],[f159]) ).

fof(f354,plain,
    ! [X0] :
      ( l1_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f355,plain,
    ! [X0] :
      ( l2_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f364,plain,
    ! [X0] :
      ( v1_funct_1(u1_lattices(X0))
      | ~ l1_lattices(X0) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f365,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,[],[f171]) ).

fof(f366,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,[],[f171]) ).

fof(f367,plain,
    ! [X0] :
      ( v1_funct_1(u2_lattices(X0))
      | ~ l2_lattices(X0) ),
    inference(cnf_transformation,[],[f172]) ).

fof(f368,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,[],[f172]) ).

fof(f369,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,[],[f172]) ).

fof(f384,plain,
    ! [X0] :
      ( ~ v1_xboole_0(u1_struct_0(X0))
      | ~ l1_struct_0(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f186]) ).

fof(f394,plain,
    ! [X2,X0,X1] :
      ( ~ v3_struct_0(g3_lattices(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)
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f194]) ).

fof(f411,plain,
    ! [X0] :
      ( v10_lattices(k1_lattice2(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f268]) ).

fof(f412,plain,
    ! [X0] :
      ( sP0(X0)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f241]) ).

fof(f421,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,[],[f208]) ).

fof(f458,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,[],[f215]) ).

fof(f459,plain,
    ! [X0,X1] :
      ( k3_filter_0(X0,X1) = k3_filter_2(X0,X1)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | v1_xboole_0(X1)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f217]) ).

fof(f462,plain,
    ! [X2,X0,X1] :
      ( m1_relset_1(X2,X0,X1)
      | ~ m2_relset_1(X2,X0,X1) ),
    inference(cnf_transformation,[],[f304]) ).

fof(f466,plain,
    ! [X0] : r1_tarski(X0,X0),
    inference(cnf_transformation,[],[f103]) ).

fof(f469,plain,
    ! [X2,X0,X1] :
      ( r1_tarski(k2_filter_0(X0,X1),k3_filter_0(X0,X2))
      | ~ r2_hidden(X1,X2)
      | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
      | v1_xboole_0(X2)
      | ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f226]) ).

fof(f473,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,[],[f231]) ).

fof(f475,plain,
    ! [X2,X0,X1] :
      ( k19_filter_2(X0,X1) = k3_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1))
      | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
      | v1_xboole_0(X2)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | v1_xboole_0(X1)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f233]) ).

fof(f479,plain,
    ! [X0,X1] :
      ( r1_tarski(X0,X1)
      | ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
    inference(cnf_transformation,[],[f309]) ).

fof(f480,plain,
    ! [X0,X1] :
      ( m1_subset_1(X0,k1_zfmisc_1(X1))
      | ~ r1_tarski(X0,X1) ),
    inference(cnf_transformation,[],[f309]) ).

fof(f481,plain,
    ! [X2,X0,X1] :
      ( m1_subset_1(X0,X2)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
      | ~ r2_hidden(X0,X1) ),
    inference(cnf_transformation,[],[f235]) ).

fof(f484,plain,
    ! [X0,X1] :
      ( ~ v1_xboole_0(X1)
      | ~ r2_hidden(X0,X1) ),
    inference(cnf_transformation,[],[f238]) ).

cnf(c_49,negated_conjecture,
    ~ r1_tarski(k18_filter_2(sK1,sK2),k19_filter_2(sK1,sK3)),
    inference(cnf_transformation,[],[f317]) ).

cnf(c_50,negated_conjecture,
    r2_hidden(sK2,sK3),
    inference(cnf_transformation,[],[f316]) ).

cnf(c_51,negated_conjecture,
    m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))),
    inference(cnf_transformation,[],[f315]) ).

cnf(c_52,negated_conjecture,
    ~ v1_xboole_0(sK3),
    inference(cnf_transformation,[],[f314]) ).

cnf(c_53,negated_conjecture,
    m1_subset_1(sK2,u1_struct_0(sK1)),
    inference(cnf_transformation,[],[f313]) ).

cnf(c_54,negated_conjecture,
    l3_lattices(sK1),
    inference(cnf_transformation,[],[f312]) ).

cnf(c_55,negated_conjecture,
    v10_lattices(sK1),
    inference(cnf_transformation,[],[f311]) ).

cnf(c_56,negated_conjecture,
    ~ v3_struct_0(sK1),
    inference(cnf_transformation,[],[f310]) ).

cnf(c_57,plain,
    ( ~ l3_lattices(X0)
    | ~ v3_lattices(X0)
    | g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ),
    inference(cnf_transformation,[],[f318]) ).

cnf(c_68,plain,
    ( ~ l3_lattices(X0)
    | g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) = k1_lattice2(X0) ),
    inference(cnf_transformation,[],[f333]) ).

cnf(c_69,plain,
    ( ~ m1_subset_1(X0,u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | k2_filter_0(X1,X0) = a_2_0_filter_0(X1,X0)
    | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f334]) ).

cnf(c_70,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,[],[f335]) ).

cnf(c_71,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | k7_filter_2(X1,X0) = X0
    | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f336]) ).

cnf(c_74,plain,
    ( ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
    | ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_1(X0)
    | ~ v1_funct_1(X2)
    | l3_lattices(g3_lattices(X1,X0,X2)) ),
    inference(cnf_transformation,[],[f340]) ).

cnf(c_75,plain,
    ( ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
    | ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_1(X0)
    | ~ v1_funct_1(X2)
    | v3_lattices(g3_lattices(X1,X0,X2)) ),
    inference(cnf_transformation,[],[f339]) ).

cnf(c_78,plain,
    ( ~ l3_lattices(X0)
    | l3_lattices(k1_lattice2(X0)) ),
    inference(cnf_transformation,[],[f344]) ).

cnf(c_87,plain,
    ( ~ l1_lattices(X0)
    | l1_struct_0(X0) ),
    inference(cnf_transformation,[],[f352]) ).

cnf(c_89,plain,
    ( ~ l3_lattices(X0)
    | l2_lattices(X0) ),
    inference(cnf_transformation,[],[f355]) ).

cnf(c_90,plain,
    ( ~ l3_lattices(X0)
    | l1_lattices(X0) ),
    inference(cnf_transformation,[],[f354]) ).

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,[],[f366]) ).

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,[],[f365]) ).

cnf(c_101,plain,
    ( ~ l1_lattices(X0)
    | v1_funct_1(u1_lattices(X0)) ),
    inference(cnf_transformation,[],[f364]) ).

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,[],[f369]) ).

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,[],[f368]) ).

cnf(c_104,plain,
    ( ~ l2_lattices(X0)
    | v1_funct_1(u2_lattices(X0)) ),
    inference(cnf_transformation,[],[f367]) ).

cnf(c_119,plain,
    ( ~ v1_xboole_0(u1_struct_0(X0))
    | ~ l1_struct_0(X0)
    | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f384]) ).

cnf(c_130,plain,
    ( ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
    | ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
    | ~ v3_struct_0(g3_lattices(X1,X0,X2))
    | ~ v1_funct_1(X0)
    | ~ v1_funct_1(X2)
    | v1_xboole_0(X1) ),
    inference(cnf_transformation,[],[f394]) ).

cnf(c_138,plain,
    ( ~ sP0(X0)
    | v10_lattices(k1_lattice2(X0)) ),
    inference(cnf_transformation,[],[f411]) ).

cnf(c_147,plain,
    ( ~ l3_lattices(X0)
    | ~ v10_lattices(X0)
    | v3_struct_0(X0)
    | sP0(X0) ),
    inference(cnf_transformation,[],[f412]) ).

cnf(c_158,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,[],[f421]) ).

cnf(c_193,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,[],[f458]) ).

cnf(c_194,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | k3_filter_0(X1,X0) = k3_filter_2(X1,X0)
    | v1_xboole_0(X0)
    | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f459]) ).

cnf(c_198,plain,
    ( ~ m2_relset_1(X0,X1,X2)
    | m1_relset_1(X0,X1,X2) ),
    inference(cnf_transformation,[],[f462]) ).

cnf(c_201,plain,
    r1_tarski(X0,X0),
    inference(cnf_transformation,[],[f466]) ).

cnf(c_204,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ r2_hidden(X2,X0)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | r1_tarski(k2_filter_0(X1,X2),k3_filter_0(X1,X0))
    | v1_xboole_0(X0)
    | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f469]) ).

cnf(c_209,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,[],[f473]) ).

cnf(c_213,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | k3_filter_2(k1_lattice2(X1),k7_filter_2(X1,X2)) = k19_filter_2(X1,X2)
    | v1_xboole_0(X0)
    | v1_xboole_0(X2)
    | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f475]) ).

cnf(c_214,plain,
    ( ~ r1_tarski(X0,X1)
    | m1_subset_1(X0,k1_zfmisc_1(X1)) ),
    inference(cnf_transformation,[],[f480]) ).

cnf(c_215,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
    | r1_tarski(X0,X1) ),
    inference(cnf_transformation,[],[f479]) ).

cnf(c_216,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
    | ~ r2_hidden(X2,X0)
    | m1_subset_1(X2,X1) ),
    inference(cnf_transformation,[],[f481]) ).

cnf(c_219,plain,
    ( ~ r2_hidden(X0,X1)
    | ~ v1_xboole_0(X1) ),
    inference(cnf_transformation,[],[f484]) ).

cnf(c_352,plain,
    ( ~ m2_relset_1(X0,X1,X2)
    | m1_relset_1(X0,X1,X2) ),
    inference(prop_impl_just,[status(thm)],[c_198]) ).

cnf(c_354,plain,
    ( r1_tarski(X0,X1)
    | ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
    inference(prop_impl_just,[status(thm)],[c_215]) ).

cnf(c_355,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
    | r1_tarski(X0,X1) ),
    inference(renaming,[status(thm)],[c_354]) ).

cnf(c_356,plain,
    ( ~ r1_tarski(X0,X1)
    | m1_subset_1(X0,k1_zfmisc_1(X1)) ),
    inference(prop_impl_just,[status(thm)],[c_214]) ).

cnf(c_364,plain,
    ( ~ l3_lattices(X0)
    | l1_lattices(X0) ),
    inference(prop_impl_just,[status(thm)],[c_90]) ).

cnf(c_366,plain,
    ( ~ l3_lattices(X0)
    | l2_lattices(X0) ),
    inference(prop_impl_just,[status(thm)],[c_89]) ).

cnf(c_372,plain,
    ( ~ r2_hidden(X0,X1)
    | ~ v1_xboole_0(X1) ),
    inference(prop_impl_just,[status(thm)],[c_219]) ).

cnf(c_392,plain,
    ( ~ l1_lattices(X0)
    | l1_struct_0(X0) ),
    inference(prop_impl_just,[status(thm)],[c_87]) ).

cnf(c_394,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_396,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_398,plain,
    ( ~ l1_lattices(X0)
    | v1_funct_1(u1_lattices(X0)) ),
    inference(prop_impl_just,[status(thm)],[c_101]) ).

cnf(c_404,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_406,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_408,plain,
    ( ~ l2_lattices(X0)
    | v1_funct_1(u2_lattices(X0)) ),
    inference(prop_impl_just,[status(thm)],[c_104]) ).

cnf(c_698,plain,
    ( ~ r1_tarski(X0,X1)
    | ~ r2_hidden(X2,X0)
    | m1_subset_1(X2,X1) ),
    inference(bin_hyper_res,[status(thm)],[c_216,c_356]) ).

cnf(c_868,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ r2_hidden(X2,X0)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | r1_tarski(k2_filter_0(X1,X2),k3_filter_0(X1,X0))
    | v3_struct_0(X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_204,c_372]) ).

cnf(c_1821,plain,
    ( X0 != X1
    | ~ l3_lattices(X0)
    | v1_funct_1(u1_lattices(X1)) ),
    inference(resolution_lifted,[status(thm)],[c_364,c_398]) ).

cnf(c_1822,plain,
    ( ~ l3_lattices(X0)
    | v1_funct_1(u1_lattices(X0)) ),
    inference(unflattening,[status(thm)],[c_1821]) ).

cnf(c_1830,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_364,c_396]) ).

cnf(c_1831,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_1830]) ).

cnf(c_1839,plain,
    ( X0 != X1
    | ~ l3_lattices(X0)
    | m2_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_364,c_394]) ).

cnf(c_1840,plain,
    ( ~ l3_lattices(X0)
    | m2_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_1839]) ).

cnf(c_1848,plain,
    ( X0 != X1
    | ~ l3_lattices(X0)
    | l1_struct_0(X1) ),
    inference(resolution_lifted,[status(thm)],[c_364,c_392]) ).

cnf(c_1849,plain,
    ( ~ l3_lattices(X0)
    | l1_struct_0(X0) ),
    inference(unflattening,[status(thm)],[c_1848]) ).

cnf(c_1889,plain,
    ( X0 != X1
    | ~ l3_lattices(X0)
    | v1_funct_1(u2_lattices(X1)) ),
    inference(resolution_lifted,[status(thm)],[c_366,c_408]) ).

cnf(c_1890,plain,
    ( ~ l3_lattices(X0)
    | v1_funct_1(u2_lattices(X0)) ),
    inference(unflattening,[status(thm)],[c_1889]) ).

cnf(c_1898,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_366,c_406]) ).

cnf(c_1899,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_1898]) ).

cnf(c_1907,plain,
    ( X0 != X1
    | ~ l3_lattices(X0)
    | m2_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_366,c_404]) ).

cnf(c_1908,plain,
    ( ~ l3_lattices(X0)
    | m2_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_1907]) ).

cnf(c_1961,plain,
    ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != X2
    | u1_struct_0(X0) != X3
    | u1_lattices(X0) != X1
    | ~ l3_lattices(X0)
    | m1_relset_1(X1,X2,X3) ),
    inference(resolution_lifted,[status(thm)],[c_352,c_1840]) ).

cnf(c_1962,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_1961]) ).

cnf(c_1979,plain,
    ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != X2
    | u1_struct_0(X0) != X3
    | u2_lattices(X0) != X1
    | ~ l3_lattices(X0)
    | m1_relset_1(X1,X2,X3) ),
    inference(resolution_lifted,[status(thm)],[c_352,c_1908]) ).

cnf(c_1980,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_1979]) ).

cnf(c_2550,plain,
    ( X0 != X1
    | ~ v1_xboole_0(u1_struct_0(X1))
    | ~ l3_lattices(X0)
    | v3_struct_0(X1) ),
    inference(resolution_lifted,[status(thm)],[c_1849,c_119]) ).

cnf(c_2551,plain,
    ( ~ v1_xboole_0(u1_struct_0(X0))
    | ~ l3_lattices(X0)
    | v3_struct_0(X0) ),
    inference(unflattening,[status(thm)],[c_2550]) ).

cnf(c_2696,plain,
    ( X0 != X1
    | X2 != X3
    | ~ m1_subset_1(X0,k1_zfmisc_1(X2))
    | ~ r2_hidden(X4,X1)
    | m1_subset_1(X4,X3) ),
    inference(resolution_lifted,[status(thm)],[c_355,c_698]) ).

cnf(c_2697,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
    | ~ r2_hidden(X2,X0)
    | m1_subset_1(X2,X1) ),
    inference(unflattening,[status(thm)],[c_2696]) ).

cnf(c_2828,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ r2_hidden(X2,X0)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | r1_tarski(k2_filter_0(X1,X2),k3_filter_0(X1,X0))
    | v3_struct_0(X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_868,c_2697]) ).

cnf(c_6502,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(prop_impl_just,[status(thm)],[c_1831]) ).

cnf(c_6504,plain,
    ( ~ l3_lattices(X0)
    | v1_funct_1(u1_lattices(X0)) ),
    inference(prop_impl_just,[status(thm)],[c_1822]) ).

cnf(c_6506,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(prop_impl_just,[status(thm)],[c_1899]) ).

cnf(c_6508,plain,
    ( ~ l3_lattices(X0)
    | v1_funct_1(u2_lattices(X0)) ),
    inference(prop_impl_just,[status(thm)],[c_1890]) ).

cnf(c_6510,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(prop_impl_just,[status(thm)],[c_1962]) ).

cnf(c_6514,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(prop_impl_just,[status(thm)],[c_1980]) ).

cnf(c_11490,plain,
    u1_struct_0(sK1) = sP0_iProver_def,
    definition ).

cnf(c_11491,plain,
    k1_zfmisc_1(sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_11492,plain,
    k18_filter_2(sK1,sK2) = sP2_iProver_def,
    definition ).

cnf(c_11493,plain,
    k19_filter_2(sK1,sK3) = sP3_iProver_def,
    definition ).

cnf(c_11494,negated_conjecture,
    ~ v3_struct_0(sK1),
    inference(demodulation,[status(thm)],[c_56]) ).

cnf(c_11495,negated_conjecture,
    v10_lattices(sK1),
    inference(demodulation,[status(thm)],[c_55]) ).

cnf(c_11496,negated_conjecture,
    l3_lattices(sK1),
    inference(demodulation,[status(thm)],[c_54]) ).

cnf(c_11497,negated_conjecture,
    m1_subset_1(sK2,sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_53,c_11490]) ).

cnf(c_11498,negated_conjecture,
    ~ v1_xboole_0(sK3),
    inference(demodulation,[status(thm)],[c_52]) ).

cnf(c_11499,negated_conjecture,
    m1_subset_1(sK3,sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_51,c_11491]) ).

cnf(c_11500,negated_conjecture,
    r2_hidden(sK2,sK3),
    inference(demodulation,[status(thm)],[c_50]) ).

cnf(c_11501,negated_conjecture,
    ~ r1_tarski(sP2_iProver_def,sP3_iProver_def),
    inference(demodulation,[status(thm)],[c_49,c_11493,c_11492]) ).

cnf(c_45247,plain,
    ( ~ l3_lattices(sK1)
    | v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_11490,c_6502]) ).

cnf(c_45250,plain,
    v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_45247,c_11496]) ).

cnf(c_45251,plain,
    ( ~ l3_lattices(sK1)
    | v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_11490,c_6506]) ).

cnf(c_45254,plain,
    v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_45251,c_11496]) ).

cnf(c_45285,plain,
    ( ~ l3_lattices(sK1)
    | m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_11490,c_6510]) ).

cnf(c_45288,plain,
    m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_45285,c_11496]) ).

cnf(c_45292,plain,
    ( ~ l3_lattices(sK1)
    | m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_11490,c_6514]) ).

cnf(c_45295,plain,
    m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_45292,c_11496]) ).

cnf(c_45331,plain,
    ( ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
    | ~ v3_struct_0(g3_lattices(sP0_iProver_def,u1_lattices(sK1),X0))
    | ~ m1_relset_1(X0,k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
    | ~ v1_funct_2(X0,k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
    | ~ v1_funct_1(u1_lattices(sK1))
    | ~ v1_funct_1(X0)
    | v1_xboole_0(sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_45288,c_130]) ).

cnf(c_45334,plain,
    ( ~ v3_struct_0(g3_lattices(sP0_iProver_def,u1_lattices(sK1),X0))
    | ~ m1_relset_1(X0,k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
    | ~ v1_funct_2(X0,k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
    | ~ v1_funct_1(u1_lattices(sK1))
    | ~ v1_funct_1(X0)
    | v1_xboole_0(sP0_iProver_def) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_45331,c_45250]) ).

cnf(c_45386,plain,
    ( ~ v3_struct_0(g3_lattices(sP0_iProver_def,u1_lattices(sK1),u2_lattices(sK1)))
    | ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
    | ~ v1_funct_1(u2_lattices(sK1))
    | ~ v1_funct_1(u1_lattices(sK1))
    | v1_xboole_0(sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_45295,c_45334]) ).

cnf(c_45388,plain,
    ( ~ v3_struct_0(g3_lattices(sP0_iProver_def,u1_lattices(sK1),u2_lattices(sK1)))
    | ~ v1_funct_1(u2_lattices(sK1))
    | ~ v1_funct_1(u1_lattices(sK1))
    | v1_xboole_0(sP0_iProver_def) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_45386,c_45254]) ).

cnf(c_45426,plain,
    g3_lattices(u1_struct_0(sK1),u1_lattices(sK1),u2_lattices(sK1)) = k1_lattice2(sK1),
    inference(superposition,[status(thm)],[c_11496,c_68]) ).

cnf(c_45436,plain,
    g3_lattices(sP0_iProver_def,u1_lattices(sK1),u2_lattices(sK1)) = k1_lattice2(sK1),
    inference(demodulation,[status(thm)],[c_45426,c_11490]) ).

cnf(c_45437,plain,
    ( ~ v3_struct_0(k1_lattice2(sK1))
    | ~ v1_funct_1(u2_lattices(sK1))
    | ~ v1_funct_1(u1_lattices(sK1))
    | v1_xboole_0(sP0_iProver_def) ),
    inference(demodulation,[status(thm)],[c_45388,c_45436]) ).

cnf(c_45454,plain,
    ( ~ v1_xboole_0(sP0_iProver_def)
    | ~ l3_lattices(sK1)
    | v3_struct_0(sK1) ),
    inference(superposition,[status(thm)],[c_11490,c_2551]) ).

cnf(c_45455,plain,
    ~ v1_xboole_0(sP0_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_45454,c_11494,c_11496]) ).

cnf(c_45456,plain,
    ( ~ v3_struct_0(k1_lattice2(sK1))
    | ~ v1_funct_1(u2_lattices(sK1))
    | ~ v1_funct_1(u1_lattices(sK1)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_45437,c_45455]) ).

cnf(c_45469,plain,
    ( ~ v3_struct_0(k1_lattice2(sK1))
    | ~ v1_funct_1(u2_lattices(sK1))
    | ~ l3_lattices(sK1) ),
    inference(superposition,[status(thm)],[c_6504,c_45456]) ).

cnf(c_45470,plain,
    ( ~ v3_struct_0(k1_lattice2(sK1))
    | ~ v1_funct_1(u2_lattices(sK1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_45469,c_11496]) ).

cnf(c_45471,plain,
    ( ~ v3_struct_0(k1_lattice2(sK1))
    | ~ l3_lattices(sK1) ),
    inference(superposition,[status(thm)],[c_6508,c_45470]) ).

cnf(c_45472,plain,
    ~ v3_struct_0(k1_lattice2(sK1)),
    inference(forward_subsumption_resolution,[status(thm)],[c_45471,c_11496]) ).

cnf(c_115254,plain,
    ( ~ l3_lattices(sK1)
    | v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_11490,c_6502]) ).

cnf(c_115257,plain,
    v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_115254,c_11496]) ).

cnf(c_115258,plain,
    ( ~ l3_lattices(sK1)
    | v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_11490,c_6506]) ).

cnf(c_115261,plain,
    v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_115258,c_11496]) ).

cnf(c_115262,plain,
    ( ~ l3_lattices(sK1)
    | m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_11490,c_6510]) ).

cnf(c_115265,plain,
    m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_115262,c_11496]) ).

cnf(c_115266,plain,
    ( ~ l3_lattices(sK1)
    | m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_11490,c_6514]) ).

cnf(c_115269,plain,
    m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_115266,c_11496]) ).

cnf(c_115277,plain,
    ( ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
    | ~ m1_relset_1(X0,k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
    | ~ v1_funct_2(X0,k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
    | ~ v1_funct_1(u1_lattices(sK1))
    | ~ v1_funct_1(X0)
    | l3_lattices(g3_lattices(sP0_iProver_def,u1_lattices(sK1),X0)) ),
    inference(superposition,[status(thm)],[c_115265,c_74]) ).

cnf(c_115280,plain,
    ( ~ m1_relset_1(X0,k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
    | ~ v1_funct_2(X0,k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
    | ~ v1_funct_1(u1_lattices(sK1))
    | ~ v1_funct_1(X0)
    | l3_lattices(g3_lattices(sP0_iProver_def,u1_lattices(sK1),X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_115277,c_115257]) ).

cnf(c_115285,plain,
    ( ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
    | ~ m1_relset_1(X0,k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
    | ~ v1_funct_2(X0,k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
    | ~ v1_funct_1(u1_lattices(sK1))
    | ~ v1_funct_1(X0)
    | v3_lattices(g3_lattices(sP0_iProver_def,u1_lattices(sK1),X0)) ),
    inference(superposition,[status(thm)],[c_115265,c_75]) ).

cnf(c_115288,plain,
    ( ~ m1_relset_1(X0,k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
    | ~ v1_funct_2(X0,k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
    | ~ v1_funct_1(u1_lattices(sK1))
    | ~ v1_funct_1(X0)
    | v3_lattices(g3_lattices(sP0_iProver_def,u1_lattices(sK1),X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_115285,c_115257]) ).

cnf(c_115306,plain,
    ( ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
    | ~ v1_funct_1(u2_lattices(sK1))
    | ~ v1_funct_1(u1_lattices(sK1))
    | l3_lattices(g3_lattices(sP0_iProver_def,u1_lattices(sK1),u2_lattices(sK1))) ),
    inference(superposition,[status(thm)],[c_115269,c_115280]) ).

cnf(c_115308,plain,
    ( ~ v1_funct_1(u2_lattices(sK1))
    | ~ v1_funct_1(u1_lattices(sK1))
    | l3_lattices(g3_lattices(sP0_iProver_def,u1_lattices(sK1),u2_lattices(sK1))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_115306,c_115261]) ).

cnf(c_115367,plain,
    ( ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
    | ~ v1_funct_1(u2_lattices(sK1))
    | ~ v1_funct_1(u1_lattices(sK1))
    | v3_lattices(g3_lattices(sP0_iProver_def,u1_lattices(sK1),u2_lattices(sK1))) ),
    inference(superposition,[status(thm)],[c_115269,c_115288]) ).

cnf(c_115369,plain,
    ( ~ v1_funct_1(u2_lattices(sK1))
    | ~ v1_funct_1(u1_lattices(sK1))
    | v3_lattices(g3_lattices(sP0_iProver_def,u1_lattices(sK1),u2_lattices(sK1))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_115367,c_115261]) ).

cnf(c_115374,plain,
    ( ~ v10_lattices(sK1)
    | v3_struct_0(sK1)
    | sP0(sK1) ),
    inference(superposition,[status(thm)],[c_11496,c_147]) ).

cnf(c_115386,plain,
    sP0(sK1),
    inference(forward_subsumption_resolution,[status(thm)],[c_115374,c_11494,c_11495]) ).

cnf(c_115387,plain,
    g3_lattices(u1_struct_0(sK1),u1_lattices(sK1),u2_lattices(sK1)) = k1_lattice2(sK1),
    inference(superposition,[status(thm)],[c_11496,c_68]) ).

cnf(c_115397,plain,
    g3_lattices(sP0_iProver_def,u1_lattices(sK1),u2_lattices(sK1)) = k1_lattice2(sK1),
    inference(demodulation,[status(thm)],[c_115387,c_11490]) ).

cnf(c_115398,plain,
    ( ~ v1_funct_1(u2_lattices(sK1))
    | ~ v1_funct_1(u1_lattices(sK1))
    | l3_lattices(k1_lattice2(sK1)) ),
    inference(demodulation,[status(thm)],[c_115308,c_115397]) ).

cnf(c_115399,plain,
    ( ~ v1_funct_1(u2_lattices(sK1))
    | ~ v1_funct_1(u1_lattices(sK1))
    | v3_lattices(k1_lattice2(sK1)) ),
    inference(light_normalisation,[status(thm)],[c_115369,c_115397]) ).

cnf(c_115400,plain,
    ( ~ v1_funct_1(u2_lattices(sK1))
    | ~ l3_lattices(sK1)
    | v3_lattices(k1_lattice2(sK1)) ),
    inference(superposition,[status(thm)],[c_6504,c_115399]) ).

cnf(c_115401,plain,
    ( ~ v1_funct_1(u2_lattices(sK1))
    | v3_lattices(k1_lattice2(sK1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_115400,c_11496]) ).

cnf(c_115402,plain,
    ( ~ l3_lattices(sK1)
    | v3_lattices(k1_lattice2(sK1)) ),
    inference(superposition,[status(thm)],[c_6508,c_115401]) ).

cnf(c_115403,plain,
    v3_lattices(k1_lattice2(sK1)),
    inference(forward_subsumption_resolution,[status(thm)],[c_115402,c_11496]) ).

cnf(c_115404,plain,
    ( ~ l3_lattices(k1_lattice2(sK1))
    | 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_115403,c_57]) ).

cnf(c_115405,plain,
    ( ~ l3_lattices(sK1)
    | 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_78,c_115404]) ).

cnf(c_115406,plain,
    g3_lattices(u1_struct_0(k1_lattice2(sK1)),u2_lattices(k1_lattice2(sK1)),u1_lattices(k1_lattice2(sK1))) = k1_lattice2(sK1),
    inference(forward_subsumption_resolution,[status(thm)],[c_115405,c_11496]) ).

cnf(c_115422,plain,
    ( ~ v1_funct_1(u2_lattices(sK1))
    | ~ l3_lattices(sK1)
    | l3_lattices(k1_lattice2(sK1)) ),
    inference(superposition,[status(thm)],[c_6504,c_115398]) ).

cnf(c_115423,plain,
    ( ~ v1_funct_1(u2_lattices(sK1))
    | l3_lattices(k1_lattice2(sK1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_115422,c_11496]) ).

cnf(c_115424,plain,
    ( ~ l3_lattices(sK1)
    | l3_lattices(k1_lattice2(sK1)) ),
    inference(superposition,[status(thm)],[c_6508,c_115423]) ).

cnf(c_115425,plain,
    l3_lattices(k1_lattice2(sK1)),
    inference(forward_subsumption_resolution,[status(thm)],[c_115424,c_11496]) ).

cnf(c_115435,plain,
    ( ~ v1_xboole_0(sP0_iProver_def)
    | ~ l3_lattices(sK1)
    | v3_struct_0(sK1) ),
    inference(superposition,[status(thm)],[c_11490,c_2551]) ).

cnf(c_115436,plain,
    ~ v1_xboole_0(sP0_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_115435,c_11494,c_11496]) ).

cnf(c_115451,plain,
    ( ~ m1_subset_1(X0,sP0_iProver_def)
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | k5_filter_2(sK1,X0) = X0
    | v3_struct_0(sK1) ),
    inference(superposition,[status(thm)],[c_11490,c_70]) ).

cnf(c_115452,plain,
    ( ~ m1_subset_1(X0,sP0_iProver_def)
    | k5_filter_2(sK1,X0) = X0 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_115451,c_11494,c_11495,c_11496]) ).

cnf(c_115454,plain,
    k5_filter_2(sK1,sK2) = sK2,
    inference(superposition,[status(thm)],[c_11497,c_115452]) ).

cnf(c_115494,plain,
    ( ~ m1_subset_1(X0,sP0_iProver_def)
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | k2_filter_2(k1_lattice2(sK1),k5_filter_2(sK1,X0)) = k18_filter_2(sK1,X0)
    | v3_struct_0(sK1) ),
    inference(superposition,[status(thm)],[c_11490,c_209]) ).

cnf(c_115495,plain,
    ( ~ m1_subset_1(X0,sP0_iProver_def)
    | k2_filter_2(k1_lattice2(sK1),k5_filter_2(sK1,X0)) = k18_filter_2(sK1,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_115494,c_11494,c_11495,c_11496]) ).

cnf(c_115518,plain,
    k2_filter_2(k1_lattice2(sK1),k5_filter_2(sK1,sK2)) = k18_filter_2(sK1,sK2),
    inference(superposition,[status(thm)],[c_11497,c_115495]) ).

cnf(c_115519,plain,
    k2_filter_2(k1_lattice2(sK1),sK2) = sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_115518,c_11492,c_115454]) ).

cnf(c_115525,plain,
    ( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
    | ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
    | ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
    | ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
    | ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(sP0_iProver_def,sP0_iProver_def),sP0_iProver_def)
    | ~ v1_funct_1(u2_lattices(sK1))
    | ~ v1_funct_1(u1_lattices(sK1))
    | X0 = sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_115397,c_158]) ).

cnf(c_115530,plain,
    ( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
    | ~ v1_funct_1(u2_lattices(sK1))
    | ~ v1_funct_1(u1_lattices(sK1))
    | X0 = sP0_iProver_def ),
    inference(forward_subsumption_resolution,[status(thm)],[c_115525,c_115257,c_115261,c_115265,c_115269]) ).

cnf(c_115552,plain,
    ( ~ r1_tarski(X0,sP0_iProver_def)
    | m1_subset_1(X0,sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_11491,c_214]) ).

cnf(c_115606,plain,
    m1_subset_1(sP0_iProver_def,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_201,c_115552]) ).

cnf(c_115650,plain,
    ( ~ v1_funct_1(u2_lattices(sK1))
    | ~ v1_funct_1(u1_lattices(sK1))
    | u1_struct_0(k1_lattice2(sK1)) = sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_115406,c_115530]) ).

cnf(c_115651,plain,
    ( ~ v1_funct_1(u2_lattices(sK1))
    | ~ l3_lattices(sK1)
    | u1_struct_0(k1_lattice2(sK1)) = sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_6504,c_115650]) ).

cnf(c_115652,plain,
    ( ~ v1_funct_1(u2_lattices(sK1))
    | u1_struct_0(k1_lattice2(sK1)) = sP0_iProver_def ),
    inference(forward_subsumption_resolution,[status(thm)],[c_115651,c_11496]) ).

cnf(c_115653,plain,
    ( ~ l3_lattices(sK1)
    | u1_struct_0(k1_lattice2(sK1)) = sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_6508,c_115652]) ).

cnf(c_115654,plain,
    u1_struct_0(k1_lattice2(sK1)) = sP0_iProver_def,
    inference(forward_subsumption_resolution,[status(thm)],[c_115653,c_11496]) ).

cnf(c_115683,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(sP0_iProver_def))
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | k7_filter_2(sK1,X0) = X0
    | v3_struct_0(sK1) ),
    inference(superposition,[status(thm)],[c_11490,c_71]) ).

cnf(c_115685,plain,
    ( ~ m1_subset_1(X0,sP1_iProver_def)
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | k7_filter_2(sK1,X0) = X0
    | v3_struct_0(sK1) ),
    inference(demodulation,[status(thm)],[c_115683,c_11491]) ).

cnf(c_115686,plain,
    ( ~ m1_subset_1(X0,sP1_iProver_def)
    | k7_filter_2(sK1,X0) = X0 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_115685,c_11494,c_11495,c_11496]) ).

cnf(c_115736,plain,
    ( ~ m1_subset_1(X0,sP0_iProver_def)
    | ~ 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_115654,c_193]) ).

cnf(c_115738,plain,
    ( ~ m1_subset_1(X0,sP0_iProver_def)
    | ~ l3_lattices(k1_lattice2(sK1))
    | ~ v10_lattices(k1_lattice2(sK1))
    | k2_filter_0(k1_lattice2(sK1),X0) = a_2_0_filter_0(k1_lattice2(sK1),X0)
    | v3_struct_0(k1_lattice2(sK1)) ),
    inference(superposition,[status(thm)],[c_115654,c_69]) ).

cnf(c_115740,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
    | ~ m1_subset_1(X1,k1_zfmisc_1(sP0_iProver_def))
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,X0)) = k19_filter_2(sK1,X0)
    | v1_xboole_0(X0)
    | v1_xboole_0(X1)
    | v3_struct_0(sK1) ),
    inference(superposition,[status(thm)],[c_115654,c_213]) ).

cnf(c_115767,plain,
    ( ~ m1_subset_1(X0,sP0_iProver_def)
    | ~ v10_lattices(k1_lattice2(sK1))
    | k2_filter_0(k1_lattice2(sK1),X0) = a_2_0_filter_0(k1_lattice2(sK1),X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_115738,c_45472,c_115425]) ).

cnf(c_115769,plain,
    ( ~ m1_subset_1(X0,sP0_iProver_def)
    | ~ v10_lattices(k1_lattice2(sK1))
    | k2_filter_0(k1_lattice2(sK1),X0) = k2_filter_2(k1_lattice2(sK1),X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_115736,c_45472,c_115425]) ).

cnf(c_115782,plain,
    ( ~ m1_subset_1(X0,sP1_iProver_def)
    | ~ m1_subset_1(X1,sP1_iProver_def)
    | ~ l3_lattices(sK1)
    | ~ v10_lattices(sK1)
    | k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,X0)) = k19_filter_2(sK1,X0)
    | v1_xboole_0(X0)
    | v1_xboole_0(X1)
    | v3_struct_0(sK1) ),
    inference(demodulation,[status(thm)],[c_115740,c_11490,c_11491]) ).

cnf(c_115783,plain,
    ( ~ m1_subset_1(X0,sP1_iProver_def)
    | ~ m1_subset_1(X1,sP1_iProver_def)
    | k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,X0)) = k19_filter_2(sK1,X0)
    | v1_xboole_0(X0)
    | v1_xboole_0(X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_115782,c_11494,c_11495,c_11496]) ).

cnf(c_115791,plain,
    k7_filter_2(sK1,sK3) = sK3,
    inference(superposition,[status(thm)],[c_11499,c_115686]) ).

cnf(c_115869,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(sP0_iProver_def))
    | ~ l3_lattices(k1_lattice2(sK1))
    | ~ v10_lattices(k1_lattice2(sK1))
    | k3_filter_0(k1_lattice2(sK1),X0) = k3_filter_2(k1_lattice2(sK1),X0)
    | v3_struct_0(k1_lattice2(sK1))
    | v1_xboole_0(X0) ),
    inference(superposition,[status(thm)],[c_115654,c_194]) ).

cnf(c_115873,plain,
    ( ~ m1_subset_1(X0,sP1_iProver_def)
    | ~ l3_lattices(k1_lattice2(sK1))
    | ~ v10_lattices(k1_lattice2(sK1))
    | k3_filter_0(k1_lattice2(sK1),X0) = k3_filter_2(k1_lattice2(sK1),X0)
    | v3_struct_0(k1_lattice2(sK1))
    | v1_xboole_0(X0) ),
    inference(demodulation,[status(thm)],[c_115869,c_11491]) ).

cnf(c_115874,plain,
    ( ~ m1_subset_1(X0,sP1_iProver_def)
    | ~ v10_lattices(k1_lattice2(sK1))
    | k3_filter_0(k1_lattice2(sK1),X0) = k3_filter_2(k1_lattice2(sK1),X0)
    | v1_xboole_0(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_115873,c_45472,c_115425]) ).

cnf(c_116278,plain,
    ( ~ m1_subset_1(X0,sP1_iProver_def)
    | k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,sK3)) = k19_filter_2(sK1,sK3)
    | v1_xboole_0(X0)
    | v1_xboole_0(sK3) ),
    inference(superposition,[status(thm)],[c_11499,c_115783]) ).

cnf(c_116294,plain,
    ( ~ m1_subset_1(X0,sP1_iProver_def)
    | k3_filter_2(k1_lattice2(sK1),sK3) = sP3_iProver_def
    | v1_xboole_0(X0)
    | v1_xboole_0(sK3) ),
    inference(demodulation,[status(thm)],[c_116278,c_11493,c_115791]) ).

cnf(c_116295,plain,
    ( ~ m1_subset_1(X0,sP1_iProver_def)
    | k3_filter_2(k1_lattice2(sK1),sK3) = sP3_iProver_def
    | v1_xboole_0(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_116294,c_11498]) ).

cnf(c_116333,plain,
    ( k3_filter_2(k1_lattice2(sK1),sK3) = sP3_iProver_def
    | v1_xboole_0(sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_115606,c_116295]) ).

cnf(c_116344,plain,
    k3_filter_2(k1_lattice2(sK1),sK3) = sP3_iProver_def,
    inference(forward_subsumption_resolution,[status(thm)],[c_116333,c_115436]) ).

cnf(c_117737,plain,
    ( ~ v10_lattices(k1_lattice2(sK1))
    | k2_filter_0(k1_lattice2(sK1),sK2) = a_2_0_filter_0(k1_lattice2(sK1),sK2) ),
    inference(superposition,[status(thm)],[c_11497,c_115767]) ).

cnf(c_117756,plain,
    ( ~ sP0(sK1)
    | k2_filter_0(k1_lattice2(sK1),sK2) = a_2_0_filter_0(k1_lattice2(sK1),sK2) ),
    inference(superposition,[status(thm)],[c_138,c_117737]) ).

cnf(c_117757,plain,
    k2_filter_0(k1_lattice2(sK1),sK2) = a_2_0_filter_0(k1_lattice2(sK1),sK2),
    inference(forward_subsumption_resolution,[status(thm)],[c_117756,c_115386]) ).

cnf(c_117814,plain,
    ( ~ v10_lattices(k1_lattice2(sK1))
    | k2_filter_0(k1_lattice2(sK1),sK2) = k2_filter_2(k1_lattice2(sK1),sK2) ),
    inference(superposition,[status(thm)],[c_11497,c_115769]) ).

cnf(c_117820,plain,
    ( ~ v10_lattices(k1_lattice2(sK1))
    | a_2_0_filter_0(k1_lattice2(sK1),sK2) = sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_117814,c_115519,c_117757]) ).

cnf(c_117831,plain,
    ( ~ sP0(sK1)
    | a_2_0_filter_0(k1_lattice2(sK1),sK2) = sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_138,c_117820]) ).

cnf(c_117832,plain,
    a_2_0_filter_0(k1_lattice2(sK1),sK2) = sP2_iProver_def,
    inference(forward_subsumption_resolution,[status(thm)],[c_117831,c_115386]) ).

cnf(c_117840,plain,
    k2_filter_0(k1_lattice2(sK1),sK2) = sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_117757,c_117832]) ).

cnf(c_118324,plain,
    ( ~ v10_lattices(k1_lattice2(sK1))
    | k3_filter_0(k1_lattice2(sK1),sK3) = k3_filter_2(k1_lattice2(sK1),sK3)
    | v1_xboole_0(sK3) ),
    inference(superposition,[status(thm)],[c_11499,c_115874]) ).

cnf(c_118357,plain,
    ( ~ v10_lattices(k1_lattice2(sK1))
    | k3_filter_0(k1_lattice2(sK1),sK3) = sP3_iProver_def
    | v1_xboole_0(sK3) ),
    inference(demodulation,[status(thm)],[c_118324,c_116344]) ).

cnf(c_118358,plain,
    ( ~ v10_lattices(k1_lattice2(sK1))
    | k3_filter_0(k1_lattice2(sK1),sK3) = sP3_iProver_def ),
    inference(forward_subsumption_resolution,[status(thm)],[c_118357,c_11498]) ).

cnf(c_118392,plain,
    ( ~ sP0(sK1)
    | k3_filter_0(k1_lattice2(sK1),sK3) = sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_138,c_118358]) ).

cnf(c_118393,plain,
    k3_filter_0(k1_lattice2(sK1),sK3) = sP3_iProver_def,
    inference(forward_subsumption_resolution,[status(thm)],[c_118392,c_115386]) ).

cnf(c_118443,plain,
    ( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
    | ~ r2_hidden(X0,sK3)
    | ~ l3_lattices(k1_lattice2(sK1))
    | ~ v10_lattices(k1_lattice2(sK1))
    | r1_tarski(k2_filter_0(k1_lattice2(sK1),X0),sP3_iProver_def)
    | v3_struct_0(k1_lattice2(sK1)) ),
    inference(superposition,[status(thm)],[c_118393,c_2828]) ).

cnf(c_118445,plain,
    ( ~ r2_hidden(X0,sK3)
    | ~ m1_subset_1(sK3,sP1_iProver_def)
    | ~ l3_lattices(k1_lattice2(sK1))
    | ~ v10_lattices(k1_lattice2(sK1))
    | r1_tarski(k2_filter_0(k1_lattice2(sK1),X0),sP3_iProver_def)
    | v3_struct_0(k1_lattice2(sK1)) ),
    inference(demodulation,[status(thm)],[c_118443,c_11491,c_115654]) ).

cnf(c_118446,plain,
    ( ~ r2_hidden(X0,sK3)
    | ~ v10_lattices(k1_lattice2(sK1))
    | r1_tarski(k2_filter_0(k1_lattice2(sK1),X0),sP3_iProver_def) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_118445,c_45472,c_115425,c_11499]) ).

cnf(c_118487,plain,
    ( ~ r2_hidden(sK2,sK3)
    | ~ v10_lattices(k1_lattice2(sK1))
    | r1_tarski(sP2_iProver_def,sP3_iProver_def) ),
    inference(superposition,[status(thm)],[c_117840,c_118446]) ).

cnf(c_118489,plain,
    ~ v10_lattices(k1_lattice2(sK1)),
    inference(forward_subsumption_resolution,[status(thm)],[c_118487,c_11501,c_11500]) ).

cnf(c_118490,plain,
    ~ sP0(sK1),
    inference(superposition,[status(thm)],[c_138,c_118489]) ).

cnf(c_118491,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_118490,c_115386]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : LAT311+1 : TPTP v8.2.0. Released v3.4.0.
% 0.02/0.09  % Command  : run_iprover %s %d THM
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 300
% 0.09/0.28  % DateTime : Fri Jun 21 23:11:39 EDT 2024
% 0.09/0.28  % CPUTime  : 
% 0.15/0.38  Running first-order theorem proving
% 0.15/0.38  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 192.75/25.72  % SZS status Started for theBenchmark.p
% 192.75/25.72  % SZS status Theorem for theBenchmark.p
% 192.75/25.72  
% 192.75/25.72  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 192.75/25.72  
% 192.75/25.72  ------  iProver source info
% 192.75/25.72  
% 192.75/25.72  git: date: 2024-06-12 09:56:46 +0000
% 192.75/25.72  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 192.75/25.72  git: non_committed_changes: false
% 192.75/25.72  
% 192.75/25.72  ------ Parsing...
% 192.75/25.72  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 192.75/25.72  
% 192.75/25.72  ------ 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: 10 0s  sf_e  pe_s  pe_e 
% 192.75/25.72  
% 192.75/25.72  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 192.75/25.72  
% 192.75/25.72  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 192.75/25.72  ------ Proving...
% 192.75/25.72  ------ Problem Properties 
% 192.75/25.72  
% 192.75/25.72  
% 192.75/25.72  clauses                                 158
% 192.75/25.72  conjectures                             8
% 192.75/25.72  EPR                                     48
% 192.75/25.72  Horn                                    102
% 192.75/25.72  unary                                   52
% 192.75/25.72  binary                                  36
% 192.75/25.72  lits                                    488
% 192.75/25.72  lits eq                                 31
% 192.75/25.72  fd_pure                                 0
% 192.75/25.72  fd_pseudo                               0
% 192.75/25.72  fd_cond                                 1
% 192.75/25.72  fd_pseudo_cond                          6
% 192.75/25.72  AC symbols                              0
% 192.75/25.72  
% 192.75/25.72  ------ Input Options Time Limit: Unbounded
% 192.75/25.72  
% 192.75/25.72  
% 192.75/25.72  ------ 
% 192.75/25.72  Current options:
% 192.75/25.72  ------ 
% 192.75/25.72  
% 192.75/25.72  
% 192.75/25.72  
% 192.75/25.72  
% 192.75/25.72  ------ Proving...
% 192.75/25.72  
% 192.75/25.72  
% 192.75/25.72  % SZS status Theorem for theBenchmark.p
% 192.75/25.72  
% 192.75/25.72  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 192.75/25.73  
% 192.75/25.74  
%------------------------------------------------------------------------------