TSTP Solution File: LAT296+1 by CSE_E---1.5

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%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : LAT296+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n014.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 06:00:49 EDT 2023

% Result   : Theorem 10.43s 10.54s
% Output   : CNFRefutation 10.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   79
% Syntax   : Number of formulae    :  164 (  23 unt;  69 typ;   0 def)
%            Number of atoms       :  530 (  81 equ)
%            Maximal formula atoms :   24 (   5 avg)
%            Number of connectives :  723 ( 288   ~; 289   |;  96   &)
%                                         (   3 <=>;  47  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   68 (  47   >;  21   *;   0   +;   0  <<)
%            Number of predicates  :   36 (  34 usr;   1 prp; 0-3 aty)
%            Number of functors    :   35 (  35 usr;  22 con; 0-3 aty)
%            Number of variables   :  171 (  24 sgn;  68   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    v3_struct_0: $i > $o ).

tff(decl_23,type,
    v10_lattices: $i > $o ).

tff(decl_24,type,
    v17_lattices: $i > $o ).

tff(decl_25,type,
    l3_lattices: $i > $o ).

tff(decl_26,type,
    u1_struct_0: $i > $i ).

tff(decl_27,type,
    u2_lattices: $i > $i ).

tff(decl_28,type,
    u1_lattices: $i > $i ).

tff(decl_29,type,
    g3_lattices: ( $i * $i * $i ) > $i ).

tff(decl_30,type,
    m1_subset_1: ( $i * $i ) > $o ).

tff(decl_31,type,
    k7_lattices: ( $i * $i ) > $i ).

tff(decl_32,type,
    v3_lattices: $i > $o ).

tff(decl_33,type,
    r2_hidden: ( $i * $i ) > $o ).

tff(decl_34,type,
    v1_xboole_0: $i > $o ).

tff(decl_35,type,
    v1_funct_1: $i > $o ).

tff(decl_36,type,
    v4_lattices: $i > $o ).

tff(decl_37,type,
    v5_lattices: $i > $o ).

tff(decl_38,type,
    v6_lattices: $i > $o ).

tff(decl_39,type,
    v7_lattices: $i > $o ).

tff(decl_40,type,
    v8_lattices: $i > $o ).

tff(decl_41,type,
    v9_lattices: $i > $o ).

tff(decl_42,type,
    k2_zfmisc_1: ( $i * $i ) > $i ).

tff(decl_43,type,
    k1_zfmisc_1: $i > $i ).

tff(decl_44,type,
    v1_relat_1: $i > $o ).

tff(decl_45,type,
    v2_funct_1: $i > $o ).

tff(decl_46,type,
    v13_lattices: $i > $o ).

tff(decl_47,type,
    v14_lattices: $i > $o ).

tff(decl_48,type,
    v15_lattices: $i > $o ).

tff(decl_49,type,
    v11_lattices: $i > $o ).

tff(decl_50,type,
    v16_lattices: $i > $o ).

tff(decl_51,type,
    v12_lattices: $i > $o ).

tff(decl_52,type,
    r2_lattices: ( $i * $i * $i ) > $o ).

tff(decl_53,type,
    v1_funct_2: ( $i * $i * $i ) > $o ).

tff(decl_54,type,
    m1_relset_1: ( $i * $i * $i ) > $o ).

tff(decl_55,type,
    l1_lattices: $i > $o ).

tff(decl_56,type,
    l1_struct_0: $i > $o ).

tff(decl_57,type,
    l2_lattices: $i > $o ).

tff(decl_58,type,
    m2_relset_1: ( $i * $i * $i ) > $o ).

tff(decl_59,type,
    k1_xboole_0: $i ).

tff(decl_60,type,
    v1_binop_1: ( $i * $i ) > $o ).

tff(decl_61,type,
    v1_partfun1: ( $i * $i * $i ) > $o ).

tff(decl_62,type,
    v2_binop_1: ( $i * $i ) > $o ).

tff(decl_63,type,
    r1_tarski: ( $i * $i ) > $o ).

tff(decl_64,type,
    esk1_0: $i ).

tff(decl_65,type,
    esk2_0: $i ).

tff(decl_66,type,
    esk3_0: $i ).

tff(decl_67,type,
    esk4_0: $i ).

tff(decl_68,type,
    esk5_0: $i ).

tff(decl_69,type,
    esk6_0: $i ).

tff(decl_70,type,
    esk7_0: $i ).

tff(decl_71,type,
    esk8_0: $i ).

tff(decl_72,type,
    esk9_2: ( $i * $i ) > $i ).

tff(decl_73,type,
    esk10_1: $i > $i ).

tff(decl_74,type,
    esk11_2: ( $i * $i ) > $i ).

tff(decl_75,type,
    esk12_0: $i ).

tff(decl_76,type,
    esk13_0: $i ).

tff(decl_77,type,
    esk14_0: $i ).

tff(decl_78,type,
    esk15_0: $i ).

tff(decl_79,type,
    esk16_0: $i ).

tff(decl_80,type,
    esk17_1: $i > $i ).

tff(decl_81,type,
    esk18_0: $i ).

tff(decl_82,type,
    esk19_0: $i ).

tff(decl_83,type,
    esk20_1: $i > $i ).

tff(decl_84,type,
    esk21_0: $i ).

tff(decl_85,type,
    esk22_0: $i ).

tff(decl_86,type,
    esk23_0: $i ).

tff(decl_87,type,
    esk24_0: $i ).

tff(decl_88,type,
    esk25_1: $i > $i ).

tff(decl_89,type,
    esk26_0: $i ).

tff(decl_90,type,
    esk27_0: $i ).

fof(redefinition_m2_relset_1,axiom,
    ! [X1,X2,X3] :
      ( m2_relset_1(X3,X1,X2)
    <=> m1_relset_1(X3,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).

fof(dt_u2_lattices,axiom,
    ! [X1] :
      ( l2_lattices(X1)
     => ( v1_funct_1(u2_lattices(X1))
        & v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
        & m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u2_lattices) ).

fof(free_g3_lattices,axiom,
    ! [X1,X2,X3] :
      ( ( v1_funct_1(X2)
        & v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
        & m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
        & v1_funct_1(X3)
        & v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
        & m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
     => ! [X4,X5,X6] :
          ( g3_lattices(X1,X2,X3) = g3_lattices(X4,X5,X6)
         => ( X1 = X4
            & X2 = X5
            & X3 = X6 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g3_lattices) ).

fof(dt_u1_lattices,axiom,
    ! [X1] :
      ( l1_lattices(X1)
     => ( v1_funct_1(u1_lattices(X1))
        & v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
        & m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_lattices) ).

fof(t12_filter_2,conjecture,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & v17_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v10_lattices(X2)
            & v17_lattices(X2)
            & l3_lattices(X2) )
         => ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))
           => ! [X3] :
                ( m1_subset_1(X3,u1_struct_0(X1))
               => ! [X4] :
                    ( m1_subset_1(X4,u1_struct_0(X2))
                   => ( X3 = X4
                     => k7_lattices(X1,X3) = k7_lattices(X2,X4) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_filter_2) ).

fof(dt_l3_lattices,axiom,
    ! [X1] :
      ( l3_lattices(X1)
     => ( l1_lattices(X1)
        & l2_lattices(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).

fof(t11_filter_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & v15_lattices(X1)
        & v16_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v10_lattices(X2)
            & v15_lattices(X2)
            & v16_lattices(X2)
            & l3_lattices(X2) )
         => ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))
           => ! [X3] :
                ( m1_subset_1(X3,u1_struct_0(X1))
               => ! [X4] :
                    ( m1_subset_1(X4,u1_struct_0(X1))
                   => ! [X5] :
                        ( m1_subset_1(X5,u1_struct_0(X2))
                       => ! [X6] :
                            ( m1_subset_1(X6,u1_struct_0(X2))
                           => ( ( X3 = X5
                                & X4 = X6
                                & r2_lattices(X1,X3,X4) )
                             => r2_lattices(X2,X5,X6) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_filter_2) ).

fof(cc5_lattices,axiom,
    ! [X1] :
      ( l3_lattices(X1)
     => ( ( ~ v3_struct_0(X1)
          & v17_lattices(X1) )
       => ( ~ v3_struct_0(X1)
          & v11_lattices(X1)
          & v13_lattices(X1)
          & v14_lattices(X1)
          & v15_lattices(X1)
          & v16_lattices(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_lattices) ).

fof(dt_k7_lattices,axiom,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & l3_lattices(X1)
        & m1_subset_1(X2,u1_struct_0(X1)) )
     => m1_subset_1(k7_lattices(X1,X2),u1_struct_0(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_lattices) ).

fof(d21_lattices,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,u1_struct_0(X1))
         => ( ( ~ v3_struct_0(X1)
              & v10_lattices(X1)
              & v11_lattices(X1)
              & v16_lattices(X1)
              & l3_lattices(X1) )
           => ! [X3] :
                ( m1_subset_1(X3,u1_struct_0(X1))
               => ( X3 = k7_lattices(X1,X2)
                <=> r2_lattices(X1,X3,X2) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d21_lattices) ).

fof(c_0_10,plain,
    ! [X90,X91,X92] :
      ( ( ~ m2_relset_1(X92,X90,X91)
        | m1_relset_1(X92,X90,X91) )
      & ( ~ m1_relset_1(X92,X90,X91)
        | m2_relset_1(X92,X90,X91) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).

fof(c_0_11,plain,
    ! [X41] :
      ( ( v1_funct_1(u2_lattices(X41))
        | ~ l2_lattices(X41) )
      & ( v1_funct_2(u2_lattices(X41),k2_zfmisc_1(u1_struct_0(X41),u1_struct_0(X41)),u1_struct_0(X41))
        | ~ l2_lattices(X41) )
      & ( m2_relset_1(u2_lattices(X41),k2_zfmisc_1(u1_struct_0(X41),u1_struct_0(X41)),u1_struct_0(X41))
        | ~ l2_lattices(X41) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u2_lattices])])]) ).

fof(c_0_12,plain,
    ! [X65,X66,X67,X68,X69,X70] :
      ( ( X65 = X68
        | g3_lattices(X65,X66,X67) != g3_lattices(X68,X69,X70)
        | ~ v1_funct_1(X66)
        | ~ v1_funct_2(X66,k2_zfmisc_1(X65,X65),X65)
        | ~ m1_relset_1(X66,k2_zfmisc_1(X65,X65),X65)
        | ~ v1_funct_1(X67)
        | ~ v1_funct_2(X67,k2_zfmisc_1(X65,X65),X65)
        | ~ m1_relset_1(X67,k2_zfmisc_1(X65,X65),X65) )
      & ( X66 = X69
        | g3_lattices(X65,X66,X67) != g3_lattices(X68,X69,X70)
        | ~ v1_funct_1(X66)
        | ~ v1_funct_2(X66,k2_zfmisc_1(X65,X65),X65)
        | ~ m1_relset_1(X66,k2_zfmisc_1(X65,X65),X65)
        | ~ v1_funct_1(X67)
        | ~ v1_funct_2(X67,k2_zfmisc_1(X65,X65),X65)
        | ~ m1_relset_1(X67,k2_zfmisc_1(X65,X65),X65) )
      & ( X67 = X70
        | g3_lattices(X65,X66,X67) != g3_lattices(X68,X69,X70)
        | ~ v1_funct_1(X66)
        | ~ v1_funct_2(X66,k2_zfmisc_1(X65,X65),X65)
        | ~ m1_relset_1(X66,k2_zfmisc_1(X65,X65),X65)
        | ~ v1_funct_1(X67)
        | ~ v1_funct_2(X67,k2_zfmisc_1(X65,X65),X65)
        | ~ m1_relset_1(X67,k2_zfmisc_1(X65,X65),X65) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g3_lattices])])])]) ).

cnf(c_0_13,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,plain,
    ( m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l2_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_15,plain,
    ! [X40] :
      ( ( v1_funct_1(u1_lattices(X40))
        | ~ l1_lattices(X40) )
      & ( v1_funct_2(u1_lattices(X40),k2_zfmisc_1(u1_struct_0(X40),u1_struct_0(X40)),u1_struct_0(X40))
        | ~ l1_lattices(X40) )
      & ( m2_relset_1(u1_lattices(X40),k2_zfmisc_1(u1_struct_0(X40),u1_struct_0(X40)),u1_struct_0(X40))
        | ~ l1_lattices(X40) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_lattices])])]) ).

cnf(c_0_16,plain,
    ( X1 = X2
    | g3_lattices(X3,X4,X1) != g3_lattices(X5,X6,X2)
    | ~ v1_funct_1(X4)
    | ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
    | ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)
    | ~ m1_relset_1(X1,k2_zfmisc_1(X3,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,plain,
    ( m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l2_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,plain,
    ( v1_funct_1(u2_lattices(X1))
    | ~ l2_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_19,plain,
    ( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l2_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_20,plain,
    ( m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_21,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & v10_lattices(X1)
          & v17_lattices(X1)
          & l3_lattices(X1) )
       => ! [X2] :
            ( ( ~ v3_struct_0(X2)
              & v10_lattices(X2)
              & v17_lattices(X2)
              & l3_lattices(X2) )
           => ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))
             => ! [X3] :
                  ( m1_subset_1(X3,u1_struct_0(X1))
                 => ! [X4] :
                      ( m1_subset_1(X4,u1_struct_0(X2))
                     => ( X3 = X4
                       => k7_lattices(X1,X3) = k7_lattices(X2,X4) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t12_filter_2])]) ).

cnf(c_0_22,plain,
    ( X1 = X2
    | g3_lattices(u1_struct_0(X3),u2_lattices(X3),X1) != g3_lattices(X4,X5,X2)
    | ~ l2_lattices(X3)
    | ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))
    | ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))
    | ~ v1_funct_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19]) ).

cnf(c_0_23,plain,
    ( m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_13,c_0_20]) ).

cnf(c_0_24,plain,
    ( v1_funct_1(u1_lattices(X1))
    | ~ l1_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_25,plain,
    ( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_26,negated_conjecture,
    ( ~ v3_struct_0(esk1_0)
    & v10_lattices(esk1_0)
    & v17_lattices(esk1_0)
    & l3_lattices(esk1_0)
    & ~ v3_struct_0(esk2_0)
    & v10_lattices(esk2_0)
    & v17_lattices(esk2_0)
    & l3_lattices(esk2_0)
    & g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))
    & m1_subset_1(esk3_0,u1_struct_0(esk1_0))
    & m1_subset_1(esk4_0,u1_struct_0(esk2_0))
    & esk3_0 = esk4_0
    & k7_lattices(esk1_0,esk3_0) != k7_lattices(esk2_0,esk4_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).

cnf(c_0_27,plain,
    ( u1_lattices(X1) = X2
    | g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(X3,X4,X2)
    | ~ l2_lattices(X1)
    | ~ l1_lattices(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25]) ).

cnf(c_0_28,negated_conjecture,
    g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_29,negated_conjecture,
    ( u1_lattices(esk2_0) = X1
    | g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != g3_lattices(X2,X3,X1)
    | ~ l2_lattices(esk2_0)
    | ~ l1_lattices(esk2_0) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

fof(c_0_30,plain,
    ! [X36] :
      ( ( l1_lattices(X36)
        | ~ l3_lattices(X36) )
      & ( l2_lattices(X36)
        | ~ l3_lattices(X36) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])]) ).

cnf(c_0_31,negated_conjecture,
    ( u1_lattices(esk2_0) = u1_lattices(esk1_0)
    | ~ l2_lattices(esk2_0)
    | ~ l1_lattices(esk2_0) ),
    inference(er,[status(thm)],[c_0_29]) ).

cnf(c_0_32,plain,
    ( l2_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_33,negated_conjecture,
    l3_lattices(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_34,plain,
    ( X1 = X2
    | g3_lattices(X1,X3,X4) != g3_lattices(X2,X5,X6)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_1(X4)
    | ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
    | ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_35,negated_conjecture,
    ( u1_lattices(esk2_0) = u1_lattices(esk1_0)
    | ~ l1_lattices(esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]) ).

cnf(c_0_36,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_37,plain,
    ( u1_struct_0(X1) = X2
    | g3_lattices(u1_struct_0(X1),X3,u1_lattices(X1)) != g3_lattices(X2,X4,X5)
    | ~ l1_lattices(X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ v1_funct_1(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_23]),c_0_24]),c_0_25]) ).

cnf(c_0_38,negated_conjecture,
    u1_lattices(esk2_0) = u1_lattices(esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_33])]) ).

fof(c_0_39,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & v15_lattices(X1)
        & v16_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v10_lattices(X2)
            & v15_lattices(X2)
            & v16_lattices(X2)
            & l3_lattices(X2) )
         => ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))
           => ! [X3] :
                ( m1_subset_1(X3,u1_struct_0(X1))
               => ! [X4] :
                    ( m1_subset_1(X4,u1_struct_0(X1))
                   => ! [X5] :
                        ( m1_subset_1(X5,u1_struct_0(X2))
                       => ! [X6] :
                            ( m1_subset_1(X6,u1_struct_0(X2))
                           => ( ( X3 = X5
                                & X4 = X6
                                & r2_lattices(X1,X3,X4) )
                             => r2_lattices(X2,X5,X6) ) ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[t11_filter_2]) ).

fof(c_0_40,plain,
    ! [X1] :
      ( l3_lattices(X1)
     => ( ( ~ v3_struct_0(X1)
          & v17_lattices(X1) )
       => ( ~ v3_struct_0(X1)
          & v11_lattices(X1)
          & v13_lattices(X1)
          & v14_lattices(X1)
          & v15_lattices(X1)
          & v16_lattices(X1) ) ) ),
    inference(fof_simplification,[status(thm)],[cc5_lattices]) ).

cnf(c_0_41,plain,
    ( u1_struct_0(X1) = X2
    | g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(X2,X3,X4)
    | ~ l2_lattices(X1)
    | ~ l1_lattices(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_17]),c_0_18]),c_0_19]) ).

cnf(c_0_42,negated_conjecture,
    g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk1_0)) = g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)),
    inference(rw,[status(thm)],[c_0_28,c_0_38]) ).

cnf(c_0_43,plain,
    ( X1 = X2
    | g3_lattices(X3,X1,X4) != g3_lattices(X5,X2,X6)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)
    | ~ m1_relset_1(X1,k2_zfmisc_1(X3,X3),X3)
    | ~ v1_funct_1(X4)
    | ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
    | ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_44,plain,
    ! [X94,X95,X96,X97,X98,X99] :
      ( v3_struct_0(X94)
      | ~ v10_lattices(X94)
      | ~ v15_lattices(X94)
      | ~ v16_lattices(X94)
      | ~ l3_lattices(X94)
      | v3_struct_0(X95)
      | ~ v10_lattices(X95)
      | ~ v15_lattices(X95)
      | ~ v16_lattices(X95)
      | ~ l3_lattices(X95)
      | g3_lattices(u1_struct_0(X94),u2_lattices(X94),u1_lattices(X94)) != g3_lattices(u1_struct_0(X95),u2_lattices(X95),u1_lattices(X95))
      | ~ m1_subset_1(X96,u1_struct_0(X94))
      | ~ m1_subset_1(X97,u1_struct_0(X94))
      | ~ m1_subset_1(X98,u1_struct_0(X95))
      | ~ m1_subset_1(X99,u1_struct_0(X95))
      | X96 != X98
      | X97 != X99
      | ~ r2_lattices(X94,X96,X97)
      | r2_lattices(X95,X98,X99) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])]) ).

fof(c_0_45,plain,
    ! [X23] :
      ( ( ~ v3_struct_0(X23)
        | v3_struct_0(X23)
        | ~ v17_lattices(X23)
        | ~ l3_lattices(X23) )
      & ( v11_lattices(X23)
        | v3_struct_0(X23)
        | ~ v17_lattices(X23)
        | ~ l3_lattices(X23) )
      & ( v13_lattices(X23)
        | v3_struct_0(X23)
        | ~ v17_lattices(X23)
        | ~ l3_lattices(X23) )
      & ( v14_lattices(X23)
        | v3_struct_0(X23)
        | ~ v17_lattices(X23)
        | ~ l3_lattices(X23) )
      & ( v15_lattices(X23)
        | v3_struct_0(X23)
        | ~ v17_lattices(X23)
        | ~ l3_lattices(X23) )
      & ( v16_lattices(X23)
        | v3_struct_0(X23)
        | ~ v17_lattices(X23)
        | ~ l3_lattices(X23) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])]) ).

cnf(c_0_46,negated_conjecture,
    ( u1_struct_0(esk2_0) = X1
    | g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != g3_lattices(X1,X2,X3)
    | ~ l2_lattices(esk2_0)
    | ~ l1_lattices(esk2_0) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_38]),c_0_42]) ).

cnf(c_0_47,plain,
    ( X1 = X2
    | g3_lattices(u1_struct_0(X3),X1,u1_lattices(X3)) != g3_lattices(X4,X2,X5)
    | ~ l1_lattices(X3)
    | ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))
    | ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))
    | ~ v1_funct_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_23]),c_0_24]),c_0_25]) ).

cnf(c_0_48,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | r2_lattices(X2,X5,X6)
    | ~ v10_lattices(X1)
    | ~ v15_lattices(X1)
    | ~ v16_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X2)
    | ~ v15_lattices(X2)
    | ~ v16_lattices(X2)
    | ~ l3_lattices(X2)
    | g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X4,u1_struct_0(X1))
    | ~ m1_subset_1(X5,u1_struct_0(X2))
    | ~ m1_subset_1(X6,u1_struct_0(X2))
    | X3 != X5
    | X4 != X6
    | ~ r2_lattices(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_49,plain,
    ( v15_lattices(X1)
    | v3_struct_0(X1)
    | ~ v17_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_50,negated_conjecture,
    v17_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_51,negated_conjecture,
    l3_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_52,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

fof(c_0_53,plain,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & l3_lattices(X1)
        & m1_subset_1(X2,u1_struct_0(X1)) )
     => m1_subset_1(k7_lattices(X1,X2),u1_struct_0(X1)) ),
    inference(fof_simplification,[status(thm)],[dt_k7_lattices]) ).

cnf(c_0_54,negated_conjecture,
    ( u1_struct_0(esk2_0) = u1_struct_0(esk1_0)
    | ~ l2_lattices(esk2_0)
    | ~ l1_lattices(esk2_0) ),
    inference(er,[status(thm)],[c_0_46]) ).

fof(c_0_55,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,u1_struct_0(X1))
         => ( ( ~ v3_struct_0(X1)
              & v10_lattices(X1)
              & v11_lattices(X1)
              & v16_lattices(X1)
              & l3_lattices(X1) )
           => ! [X3] :
                ( m1_subset_1(X3,u1_struct_0(X1))
               => ( X3 = k7_lattices(X1,X2)
                <=> r2_lattices(X1,X3,X2) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[d21_lattices]) ).

cnf(c_0_56,plain,
    ( u2_lattices(X1) = X2
    | g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(X3,X2,X4)
    | ~ l2_lattices(X1)
    | ~ l1_lattices(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_17]),c_0_18]),c_0_19]) ).

cnf(c_0_57,plain,
    ( r2_lattices(X1,X2,X3)
    | v3_struct_0(X1)
    | v3_struct_0(X4)
    | g3_lattices(u1_struct_0(X4),u2_lattices(X4),u1_lattices(X4)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
    | ~ r2_lattices(X4,X2,X3)
    | ~ v16_lattices(X1)
    | ~ v16_lattices(X4)
    | ~ v15_lattices(X1)
    | ~ v15_lattices(X4)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ m1_subset_1(X3,u1_struct_0(X4))
    | ~ m1_subset_1(X2,u1_struct_0(X4))
    | ~ l3_lattices(X1)
    | ~ l3_lattices(X4)
    | ~ v10_lattices(X1)
    | ~ v10_lattices(X4) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_48])]) ).

cnf(c_0_58,negated_conjecture,
    m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_59,negated_conjecture,
    v10_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_60,negated_conjecture,
    v15_lattices(esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]),c_0_52]) ).

fof(c_0_61,plain,
    ! [X32,X33] :
      ( v3_struct_0(X32)
      | ~ l3_lattices(X32)
      | ~ m1_subset_1(X33,u1_struct_0(X32))
      | m1_subset_1(k7_lattices(X32,X33),u1_struct_0(X32)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])]) ).

cnf(c_0_62,negated_conjecture,
    ( u1_struct_0(esk2_0) = u1_struct_0(esk1_0)
    | ~ l1_lattices(esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_32]),c_0_33])]) ).

fof(c_0_63,plain,
    ! [X26,X27,X28] :
      ( ( X28 != k7_lattices(X26,X27)
        | r2_lattices(X26,X28,X27)
        | ~ m1_subset_1(X28,u1_struct_0(X26))
        | v3_struct_0(X26)
        | ~ v10_lattices(X26)
        | ~ v11_lattices(X26)
        | ~ v16_lattices(X26)
        | ~ l3_lattices(X26)
        | ~ m1_subset_1(X27,u1_struct_0(X26))
        | v3_struct_0(X26)
        | ~ l3_lattices(X26) )
      & ( ~ r2_lattices(X26,X28,X27)
        | X28 = k7_lattices(X26,X27)
        | ~ m1_subset_1(X28,u1_struct_0(X26))
        | v3_struct_0(X26)
        | ~ v10_lattices(X26)
        | ~ v11_lattices(X26)
        | ~ v16_lattices(X26)
        | ~ l3_lattices(X26)
        | ~ m1_subset_1(X27,u1_struct_0(X26))
        | v3_struct_0(X26)
        | ~ l3_lattices(X26) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])])]) ).

cnf(c_0_64,negated_conjecture,
    ( u2_lattices(esk2_0) = X1
    | g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != g3_lattices(X2,X1,X3)
    | ~ l2_lattices(esk2_0)
    | ~ l1_lattices(esk2_0) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_38]),c_0_42]) ).

cnf(c_0_65,negated_conjecture,
    ( r2_lattices(esk1_0,X1,esk3_0)
    | v3_struct_0(X2)
    | g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
    | ~ r2_lattices(X2,X1,esk3_0)
    | ~ v16_lattices(esk1_0)
    | ~ v16_lattices(X2)
    | ~ v15_lattices(X2)
    | ~ m1_subset_1(X1,u1_struct_0(esk1_0))
    | ~ m1_subset_1(esk3_0,u1_struct_0(X2))
    | ~ m1_subset_1(X1,u1_struct_0(X2))
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_51]),c_0_59])]),c_0_52]),c_0_60])]) ).

cnf(c_0_66,plain,
    ( v16_lattices(X1)
    | v3_struct_0(X1)
    | ~ v17_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_67,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k7_lattices(X1,X2),u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_68,negated_conjecture,
    u1_struct_0(esk2_0) = u1_struct_0(esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_36]),c_0_33])]) ).

cnf(c_0_69,negated_conjecture,
    ~ v3_struct_0(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_70,plain,
    ( r2_lattices(X2,X1,X3)
    | v3_struct_0(X2)
    | v3_struct_0(X2)
    | X1 != k7_lattices(X2,X3)
    | ~ m1_subset_1(X1,u1_struct_0(X2))
    | ~ v10_lattices(X2)
    | ~ v11_lattices(X2)
    | ~ v16_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ m1_subset_1(X3,u1_struct_0(X2))
    | ~ l3_lattices(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_71,negated_conjecture,
    ( u2_lattices(esk2_0) = u2_lattices(esk1_0)
    | ~ l2_lattices(esk2_0)
    | ~ l1_lattices(esk2_0) ),
    inference(er,[status(thm)],[c_0_64]) ).

cnf(c_0_72,negated_conjecture,
    ( r2_lattices(esk1_0,X1,esk3_0)
    | v3_struct_0(X2)
    | g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
    | ~ r2_lattices(X2,X1,esk3_0)
    | ~ v16_lattices(X2)
    | ~ v15_lattices(X2)
    | ~ m1_subset_1(X1,u1_struct_0(esk1_0))
    | ~ m1_subset_1(esk3_0,u1_struct_0(X2))
    | ~ m1_subset_1(X1,u1_struct_0(X2))
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_51]),c_0_50])]),c_0_52]) ).

cnf(c_0_73,negated_conjecture,
    ( m1_subset_1(k7_lattices(esk2_0,X1),u1_struct_0(esk1_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_33])]),c_0_69]) ).

cnf(c_0_74,plain,
    ( v3_struct_0(X2)
    | r2_lattices(X2,X1,X3)
    | X1 != k7_lattices(X2,X3)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v11_lattices(X2)
    | ~ v16_lattices(X2)
    | ~ m1_subset_1(X3,u1_struct_0(X2))
    | ~ m1_subset_1(X1,u1_struct_0(X2)) ),
    inference(cn,[status(thm)],[c_0_70]) ).

cnf(c_0_75,negated_conjecture,
    ( u2_lattices(esk2_0) = u2_lattices(esk1_0)
    | ~ l1_lattices(esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_32]),c_0_33])]) ).

cnf(c_0_76,negated_conjecture,
    v17_lattices(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_77,plain,
    ( v11_lattices(X1)
    | v3_struct_0(X1)
    | ~ v17_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_78,plain,
    ( X2 = k7_lattices(X1,X3)
    | v3_struct_0(X1)
    | v3_struct_0(X1)
    | ~ r2_lattices(X1,X2,X3)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ v10_lattices(X1)
    | ~ v11_lattices(X1)
    | ~ v16_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_79,negated_conjecture,
    ( r2_lattices(esk1_0,k7_lattices(esk2_0,X1),esk3_0)
    | v3_struct_0(X2)
    | g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
    | ~ r2_lattices(X2,k7_lattices(esk2_0,X1),esk3_0)
    | ~ v16_lattices(X2)
    | ~ v15_lattices(X2)
    | ~ m1_subset_1(k7_lattices(esk2_0,X1),u1_struct_0(X2))
    | ~ m1_subset_1(esk3_0,u1_struct_0(X2))
    | ~ m1_subset_1(X1,u1_struct_0(esk1_0))
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2) ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_80,plain,
    ( r2_lattices(X1,k7_lattices(X1,X2),X2)
    | v3_struct_0(X1)
    | ~ v16_lattices(X1)
    | ~ v11_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_74]),c_0_67]) ).

cnf(c_0_81,negated_conjecture,
    u2_lattices(esk2_0) = u2_lattices(esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_36]),c_0_33])]) ).

cnf(c_0_82,negated_conjecture,
    v15_lattices(esk2_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_76]),c_0_33])]),c_0_69]) ).

cnf(c_0_83,negated_conjecture,
    v10_lattices(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_84,negated_conjecture,
    v11_lattices(esk2_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_76]),c_0_33])]),c_0_69]) ).

cnf(c_0_85,negated_conjecture,
    k7_lattices(esk1_0,esk3_0) != k7_lattices(esk2_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_86,negated_conjecture,
    esk3_0 = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_87,plain,
    ( X2 = k7_lattices(X1,X3)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v11_lattices(X1)
    | ~ v16_lattices(X1)
    | ~ r2_lattices(X1,X2,X3)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(cn,[status(thm)],[c_0_78]) ).

cnf(c_0_88,negated_conjecture,
    ( r2_lattices(esk1_0,k7_lattices(esk2_0,esk3_0),esk3_0)
    | ~ v16_lattices(esk2_0)
    | ~ m1_subset_1(k7_lattices(esk2_0,esk3_0),u1_struct_0(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_68]),c_0_81]),c_0_38]),c_0_82]),c_0_68]),c_0_68]),c_0_58]),c_0_58]),c_0_33]),c_0_83]),c_0_84])]),c_0_69]) ).

cnf(c_0_89,negated_conjecture,
    v11_lattices(esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_50]),c_0_51])]),c_0_52]) ).

cnf(c_0_90,negated_conjecture,
    k7_lattices(esk2_0,esk3_0) != k7_lattices(esk1_0,esk3_0),
    inference(rw,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_91,negated_conjecture,
    ( ~ v16_lattices(esk1_0)
    | ~ v16_lattices(esk2_0)
    | ~ m1_subset_1(k7_lattices(esk2_0,esk3_0),u1_struct_0(esk1_0)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]),c_0_58]),c_0_51]),c_0_59])]),c_0_90]),c_0_52]) ).

cnf(c_0_92,negated_conjecture,
    ( ~ v16_lattices(esk1_0)
    | ~ v16_lattices(esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_73]),c_0_58])]) ).

cnf(c_0_93,negated_conjecture,
    ~ v16_lattices(esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_66]),c_0_33]),c_0_76])]),c_0_69]) ).

cnf(c_0_94,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_66]),c_0_51]),c_0_50])]),c_0_52]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : LAT296+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Thu Aug 24 06:09:19 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.57  start to proof: theBenchmark
% 10.43/10.54  % Version  : CSE_E---1.5
% 10.43/10.54  % Problem  : theBenchmark.p
% 10.43/10.54  % Proof found
% 10.43/10.54  % SZS status Theorem for theBenchmark.p
% 10.43/10.54  % SZS output start Proof
% See solution above
% 10.51/10.56  % Total time : 9.963000 s
% 10.51/10.56  % SZS output end Proof
% 10.51/10.56  % Total time : 9.968000 s
%------------------------------------------------------------------------------