TSTP Solution File: LAT287+1 by CSE_E---1.5

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%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : LAT287+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 : n025.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 06:00:34 EDT 2023

% Result   : Theorem 0.80s 0.93s
% Output   : CNFRefutation 0.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :  104
% Syntax   : Number of formulae    :  189 (  24 unt;  83 typ;   0 def)
%            Number of atoms       :  407 (  26 equ)
%            Maximal formula atoms :   24 (   3 avg)
%            Number of connectives :  490 ( 189   ~; 183   |;  91   &)
%                                         (   3 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   92 (  67   >;  25   *;   0   +;   0  <<)
%            Number of predicates  :   47 (  45 usr;   4 prp; 0-3 aty)
%            Number of functors    :   38 (  38 usr;  13 con; 0-3 aty)
%            Number of variables   :  145 (   7 sgn;  78   !;   2   ?;   0   :)

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

tff(decl_23,type,
    v2_pre_topc: $i > $o ).

tff(decl_24,type,
    l1_pre_topc: $i > $o ).

tff(decl_25,type,
    k1_pre_topc: $i > $i ).

tff(decl_26,type,
    k6_lopclset: $i > $i ).

tff(decl_27,type,
    u1_struct_0: $i > $i ).

tff(decl_28,type,
    m1_subset_1: ( $i * $i ) > $o ).

tff(decl_29,type,
    l1_lattices: $i > $o ).

tff(decl_30,type,
    u1_lattices: $i > $i ).

tff(decl_31,type,
    v1_funct_1: $i > $o ).

tff(decl_32,type,
    k2_zfmisc_1: ( $i * $i ) > $i ).

tff(decl_33,type,
    v1_funct_2: ( $i * $i * $i ) > $o ).

tff(decl_34,type,
    m2_relset_1: ( $i * $i * $i ) > $o ).

tff(decl_35,type,
    l2_lattices: $i > $o ).

tff(decl_36,type,
    u2_lattices: $i > $i ).

tff(decl_37,type,
    m1_relset_1: ( $i * $i * $i ) > $o ).

tff(decl_38,type,
    v1_partfun1: ( $i * $i * $i ) > $o ).

tff(decl_39,type,
    v1_relat_1: $i > $o ).

tff(decl_40,type,
    r2_hidden: ( $i * $i ) > $o ).

tff(decl_41,type,
    l3_lattices: $i > $o ).

tff(decl_42,type,
    v3_lattices: $i > $o ).

tff(decl_43,type,
    g3_lattices: ( $i * $i * $i ) > $i ).

tff(decl_44,type,
    l1_struct_0: $i > $o ).

tff(decl_45,type,
    k1_zfmisc_1: $i > $i ).

tff(decl_46,type,
    v1_membered: $i > $o ).

tff(decl_47,type,
    v1_xcmplx_0: $i > $o ).

tff(decl_48,type,
    v2_membered: $i > $o ).

tff(decl_49,type,
    v1_xreal_0: $i > $o ).

tff(decl_50,type,
    v3_membered: $i > $o ).

tff(decl_51,type,
    v1_rat_1: $i > $o ).

tff(decl_52,type,
    v4_membered: $i > $o ).

tff(decl_53,type,
    v1_int_1: $i > $o ).

tff(decl_54,type,
    v5_membered: $i > $o ).

tff(decl_55,type,
    v4_ordinal2: $i > $o ).

tff(decl_56,type,
    v1_finset_1: $i > $o ).

tff(decl_57,type,
    v4_lattices: $i > $o ).

tff(decl_58,type,
    v5_lattices: $i > $o ).

tff(decl_59,type,
    v6_lattices: $i > $o ).

tff(decl_60,type,
    v7_lattices: $i > $o ).

tff(decl_61,type,
    v8_lattices: $i > $o ).

tff(decl_62,type,
    v9_lattices: $i > $o ).

tff(decl_63,type,
    v10_lattices: $i > $o ).

tff(decl_64,type,
    v1_xboole_0: $i > $o ).

tff(decl_65,type,
    k1_xboole_0: $i ).

tff(decl_66,type,
    v4_pre_topc: ( $i * $i ) > $o ).

tff(decl_67,type,
    r1_tarski: ( $i * $i ) > $o ).

tff(decl_68,type,
    k4_lopclset: $i > $i ).

tff(decl_69,type,
    k1_lopclset: $i > $i ).

tff(decl_70,type,
    k5_lopclset: $i > $i ).

tff(decl_71,type,
    v4_finsub_1: $i > $o ).

tff(decl_72,type,
    v1_finsub_1: $i > $o ).

tff(decl_73,type,
    v3_finsub_1: $i > $o ).

tff(decl_74,type,
    a_1_0_lopclset: $i > $i ).

tff(decl_75,type,
    v3_pre_topc: ( $i * $i ) > $o ).

tff(decl_76,type,
    m2_subset_1: ( $i * $i * $i ) > $o ).

tff(decl_77,type,
    esk1_0: $i ).

tff(decl_78,type,
    esk2_2: ( $i * $i ) > $i ).

tff(decl_79,type,
    esk3_2: ( $i * $i ) > $i ).

tff(decl_80,type,
    esk4_0: $i ).

tff(decl_81,type,
    esk5_0: $i ).

tff(decl_82,type,
    esk6_2: ( $i * $i ) > $i ).

tff(decl_83,type,
    esk7_2: ( $i * $i ) > $i ).

tff(decl_84,type,
    esk8_0: $i ).

tff(decl_85,type,
    esk9_0: $i ).

tff(decl_86,type,
    esk10_1: $i > $i ).

tff(decl_87,type,
    esk11_0: $i ).

tff(decl_88,type,
    esk12_1: $i > $i ).

tff(decl_89,type,
    esk13_0: $i ).

tff(decl_90,type,
    esk14_1: $i > $i ).

tff(decl_91,type,
    esk15_1: $i > $i ).

tff(decl_92,type,
    esk16_0: $i ).

tff(decl_93,type,
    esk17_0: $i ).

tff(decl_94,type,
    esk18_0: $i ).

tff(decl_95,type,
    esk19_0: $i ).

tff(decl_96,type,
    esk20_1: $i > $i ).

tff(decl_97,type,
    esk21_2: ( $i * $i ) > $i ).

tff(decl_98,type,
    esk22_2: ( $i * $i ) > $i ).

tff(decl_99,type,
    esk23_0: $i ).

tff(decl_100,type,
    esk24_1: $i > $i ).

tff(decl_101,type,
    esk25_2: ( $i * $i ) > $i ).

tff(decl_102,type,
    epred1_0: $o ).

tff(decl_103,type,
    epred2_0: $o ).

tff(decl_104,type,
    epred3_0: $o ).

fof(redefinition_m2_subset_1,axiom,
    ! [X1,X2] :
      ( ( ~ v1_xboole_0(X1)
        & ~ v1_xboole_0(X2)
        & m1_subset_1(X2,k1_zfmisc_1(X1)) )
     => ! [X3] :
          ( m2_subset_1(X3,X1,X2)
        <=> m1_subset_1(X3,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_subset_1) ).

fof(dt_k1_lopclset,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l1_pre_topc(X1) )
     => m1_subset_1(k1_lopclset(X1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lopclset) ).

fof(fc1_finsub_1,axiom,
    ! [X1] :
      ( ~ v1_xboole_0(k1_zfmisc_1(X1))
      & v1_finsub_1(k1_zfmisc_1(X1))
      & v3_finsub_1(k1_zfmisc_1(X1))
      & v4_finsub_1(k1_zfmisc_1(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_finsub_1) ).

fof(t7_lopclset,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => m2_subset_1(k1_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_lopclset) ).

fof(fc1_lopclset,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ~ v1_xboole_0(k1_lopclset(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lopclset) ).

fof(t8_boole,axiom,
    ! [X1,X2] :
      ~ ( v1_xboole_0(X1)
        & X1 != X2
        & v1_xboole_0(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).

fof(fc1_pre_topc,axiom,
    ! [X1] :
      ( l1_struct_0(X1)
     => ( v1_xboole_0(k1_pre_topc(X1))
        & v1_membered(k1_pre_topc(X1))
        & v2_membered(k1_pre_topc(X1))
        & v3_membered(k1_pre_topc(X1))
        & v4_membered(k1_pre_topc(X1))
        & v5_membered(k1_pre_topc(X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_pre_topc) ).

fof(t5_subset,axiom,
    ! [X1,X2,X3] :
      ~ ( r2_hidden(X1,X2)
        & m1_subset_1(X2,k1_zfmisc_1(X3))
        & v1_xboole_0(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).

fof(existence_m1_subset_1,axiom,
    ! [X1] :
    ? [X2] : m1_subset_1(X2,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).

fof(t2_subset,axiom,
    ! [X1,X2] :
      ( m1_subset_1(X1,X2)
     => ( v1_xboole_0(X2)
        | r2_hidden(X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).

fof(t16_lopclset,conjecture,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => m1_subset_1(k1_pre_topc(X1),u1_struct_0(k6_lopclset(X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_lopclset) ).

fof(dt_l1_pre_topc,axiom,
    ! [X1] :
      ( l1_pre_topc(X1)
     => l1_struct_0(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).

fof(dt_k5_lopclset,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ( v1_funct_1(k5_lopclset(X1))
        & v1_funct_2(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
        & m2_relset_1(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_lopclset) ).

fof(dt_k4_lopclset,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ( v1_funct_1(k4_lopclset(X1))
        & v1_funct_2(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
        & m2_relset_1(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_lopclset) ).

fof(d4_lopclset,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => k6_lopclset(X1) = g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_lopclset) ).

fof(existence_l1_pre_topc,axiom,
    ? [X1] : l1_pre_topc(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_pre_topc) ).

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(abstractness_v3_lattices,axiom,
    ! [X1] :
      ( l3_lattices(X1)
     => ( v3_lattices(X1)
       => X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v3_lattices) ).

fof(dt_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) )
     => ( v3_lattices(g3_lattices(X1,X2,X3))
        & l3_lattices(g3_lattices(X1,X2,X3)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_g3_lattices) ).

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(fc6_membered,axiom,
    ( v1_xboole_0(k1_xboole_0)
    & v1_membered(k1_xboole_0)
    & v2_membered(k1_xboole_0)
    & v3_membered(k1_xboole_0)
    & v4_membered(k1_xboole_0)
    & v5_membered(k1_xboole_0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_membered) ).

fof(c_0_21,plain,
    ! [X1,X2] :
      ( ( ~ v1_xboole_0(X1)
        & ~ v1_xboole_0(X2)
        & m1_subset_1(X2,k1_zfmisc_1(X1)) )
     => ! [X3] :
          ( m2_subset_1(X3,X1,X2)
        <=> m1_subset_1(X3,X2) ) ),
    inference(fof_simplification,[status(thm)],[redefinition_m2_subset_1]) ).

fof(c_0_22,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l1_pre_topc(X1) )
     => m1_subset_1(k1_lopclset(X1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1)))) ),
    inference(fof_simplification,[status(thm)],[dt_k1_lopclset]) ).

fof(c_0_23,plain,
    ! [X1] :
      ( ~ v1_xboole_0(k1_zfmisc_1(X1))
      & v1_finsub_1(k1_zfmisc_1(X1))
      & v3_finsub_1(k1_zfmisc_1(X1))
      & v4_finsub_1(k1_zfmisc_1(X1)) ),
    inference(fof_simplification,[status(thm)],[fc1_finsub_1]) ).

fof(c_0_24,plain,
    ! [X145,X146,X147] :
      ( ( ~ m2_subset_1(X147,X145,X146)
        | m1_subset_1(X147,X146)
        | v1_xboole_0(X145)
        | v1_xboole_0(X146)
        | ~ m1_subset_1(X146,k1_zfmisc_1(X145)) )
      & ( ~ m1_subset_1(X147,X146)
        | m2_subset_1(X147,X145,X146)
        | v1_xboole_0(X145)
        | v1_xboole_0(X146)
        | ~ m1_subset_1(X146,k1_zfmisc_1(X145)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])]) ).

fof(c_0_25,plain,
    ! [X148] :
      ( v3_struct_0(X148)
      | ~ l1_pre_topc(X148)
      | m1_subset_1(k1_lopclset(X148),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X148)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])]) ).

fof(c_0_26,plain,
    ! [X155] :
      ( ~ v1_xboole_0(k1_zfmisc_1(X155))
      & v1_finsub_1(k1_zfmisc_1(X155))
      & v3_finsub_1(k1_zfmisc_1(X155))
      & v4_finsub_1(k1_zfmisc_1(X155)) ),
    inference(variable_rename,[status(thm)],[c_0_23]) ).

fof(c_0_27,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => m2_subset_1(k1_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1)) ),
    inference(fof_simplification,[status(thm)],[t7_lopclset]) ).

fof(c_0_28,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ~ v1_xboole_0(k1_lopclset(X1)) ),
    inference(fof_simplification,[status(thm)],[fc1_lopclset]) ).

fof(c_0_29,plain,
    ! [X130,X131] :
      ( ~ v1_xboole_0(X130)
      | X130 = X131
      | ~ v1_xboole_0(X131) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).

fof(c_0_30,plain,
    ! [X120] :
      ( ( v1_xboole_0(k1_pre_topc(X120))
        | ~ l1_struct_0(X120) )
      & ( v1_membered(k1_pre_topc(X120))
        | ~ l1_struct_0(X120) )
      & ( v2_membered(k1_pre_topc(X120))
        | ~ l1_struct_0(X120) )
      & ( v3_membered(k1_pre_topc(X120))
        | ~ l1_struct_0(X120) )
      & ( v4_membered(k1_pre_topc(X120))
        | ~ l1_struct_0(X120) )
      & ( v5_membered(k1_pre_topc(X120))
        | ~ l1_struct_0(X120) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_pre_topc])])]) ).

fof(c_0_31,plain,
    ! [X97,X98,X99] :
      ( ~ r2_hidden(X97,X98)
      | ~ m1_subset_1(X98,k1_zfmisc_1(X99))
      | ~ v1_xboole_0(X99) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).

fof(c_0_32,plain,
    ! [X140] : m1_subset_1(esk24_1(X140),X140),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).

fof(c_0_33,plain,
    ! [X125,X126] :
      ( ~ m1_subset_1(X125,X126)
      | v1_xboole_0(X126)
      | r2_hidden(X125,X126) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).

cnf(c_0_34,plain,
    ( m1_subset_1(X1,X3)
    | v1_xboole_0(X2)
    | v1_xboole_0(X3)
    | ~ m2_subset_1(X1,X2,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_35,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k1_lopclset(X1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1))))
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_36,plain,
    ~ v1_xboole_0(k1_zfmisc_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

fof(c_0_37,plain,
    ! [X161] :
      ( v3_struct_0(X161)
      | ~ v2_pre_topc(X161)
      | ~ l1_pre_topc(X161)
      | m2_subset_1(k1_pre_topc(X161),k1_zfmisc_1(u1_struct_0(X161)),k1_lopclset(X161)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])]) ).

fof(c_0_38,plain,
    ! [X156] :
      ( v3_struct_0(X156)
      | ~ v2_pre_topc(X156)
      | ~ l1_pre_topc(X156)
      | ~ v1_xboole_0(k1_lopclset(X156)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])]) ).

cnf(c_0_39,plain,
    ( X1 = X2
    | ~ v1_xboole_0(X1)
    | ~ v1_xboole_0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_40,plain,
    ( v1_xboole_0(k1_pre_topc(X1))
    | ~ l1_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_41,plain,
    ( ~ r2_hidden(X1,X2)
    | ~ m1_subset_1(X2,k1_zfmisc_1(X3))
    | ~ v1_xboole_0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_42,plain,
    m1_subset_1(esk24_1(X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_43,plain,
    ( v1_xboole_0(X2)
    | r2_hidden(X1,X2)
    | ~ m1_subset_1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

fof(c_0_44,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & v2_pre_topc(X1)
          & l1_pre_topc(X1) )
       => m1_subset_1(k1_pre_topc(X1),u1_struct_0(k6_lopclset(X1))) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t16_lopclset])]) ).

cnf(c_0_45,plain,
    ( v1_xboole_0(k1_lopclset(X1))
    | m1_subset_1(X2,k1_lopclset(X1))
    | v3_struct_0(X1)
    | ~ m2_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
    | ~ l1_pre_topc(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).

cnf(c_0_46,plain,
    ( v3_struct_0(X1)
    | m2_subset_1(k1_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_47,plain,
    ( v3_struct_0(X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1)
    | ~ v1_xboole_0(k1_lopclset(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_48,plain,
    ( X1 = k1_pre_topc(X2)
    | ~ v1_xboole_0(X1)
    | ~ l1_struct_0(X2) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

fof(c_0_49,plain,
    ! [X151] :
      ( ~ l1_pre_topc(X151)
      | l1_struct_0(X151) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_pre_topc])]) ).

cnf(c_0_50,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,esk24_1(k1_zfmisc_1(X1))) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_51,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(esk24_1(X1),X1) ),
    inference(spm,[status(thm)],[c_0_43,c_0_42]) ).

fof(c_0_52,negated_conjecture,
    ( ~ v3_struct_0(esk1_0)
    & v2_pre_topc(esk1_0)
    & l1_pre_topc(esk1_0)
    & ~ m1_subset_1(k1_pre_topc(esk1_0),u1_struct_0(k6_lopclset(esk1_0))) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])]) ).

fof(c_0_53,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ( v1_funct_1(k5_lopclset(X1))
        & v1_funct_2(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
        & m2_relset_1(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1)) ) ),
    inference(fof_simplification,[status(thm)],[dt_k5_lopclset]) ).

fof(c_0_54,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ( v1_funct_1(k4_lopclset(X1))
        & v1_funct_2(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
        & m2_relset_1(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1)) ) ),
    inference(fof_simplification,[status(thm)],[dt_k4_lopclset]) ).

cnf(c_0_55,plain,
    ( m1_subset_1(k1_pre_topc(X1),k1_lopclset(X1))
    | v3_struct_0(X1)
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).

cnf(c_0_56,plain,
    ( k1_pre_topc(X1) = k1_pre_topc(X2)
    | ~ l1_struct_0(X2)
    | ~ l1_struct_0(X1) ),
    inference(spm,[status(thm)],[c_0_48,c_0_40]) ).

cnf(c_0_57,plain,
    ( l1_struct_0(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_58,plain,
    ( v1_xboole_0(esk24_1(k1_zfmisc_1(X1)))
    | ~ v1_xboole_0(X1) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_59,negated_conjecture,
    l1_pre_topc(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

fof(c_0_60,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => k6_lopclset(X1) = g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1)) ),
    inference(fof_simplification,[status(thm)],[d4_lopclset]) ).

fof(c_0_61,plain,
    ! [X113] :
      ( ( v1_funct_1(k5_lopclset(X113))
        | v3_struct_0(X113)
        | ~ v2_pre_topc(X113)
        | ~ l1_pre_topc(X113) )
      & ( v1_funct_2(k5_lopclset(X113),k2_zfmisc_1(k1_lopclset(X113),k1_lopclset(X113)),k1_lopclset(X113))
        | v3_struct_0(X113)
        | ~ v2_pre_topc(X113)
        | ~ l1_pre_topc(X113) )
      & ( m2_relset_1(k5_lopclset(X113),k2_zfmisc_1(k1_lopclset(X113),k1_lopclset(X113)),k1_lopclset(X113))
        | v3_struct_0(X113)
        | ~ v2_pre_topc(X113)
        | ~ l1_pre_topc(X113) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])]) ).

fof(c_0_62,plain,
    ! [X112] :
      ( ( v1_funct_1(k4_lopclset(X112))
        | v3_struct_0(X112)
        | ~ v2_pre_topc(X112)
        | ~ l1_pre_topc(X112) )
      & ( v1_funct_2(k4_lopclset(X112),k2_zfmisc_1(k1_lopclset(X112),k1_lopclset(X112)),k1_lopclset(X112))
        | v3_struct_0(X112)
        | ~ v2_pre_topc(X112)
        | ~ l1_pre_topc(X112) )
      & ( m2_relset_1(k4_lopclset(X112),k2_zfmisc_1(k1_lopclset(X112),k1_lopclset(X112)),k1_lopclset(X112))
        | v3_struct_0(X112)
        | ~ v2_pre_topc(X112)
        | ~ l1_pre_topc(X112) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])]) ).

cnf(c_0_63,plain,
    ( m1_subset_1(k1_pre_topc(X1),k1_lopclset(X2))
    | v3_struct_0(X2)
    | ~ l1_struct_0(X1)
    | ~ l1_pre_topc(X2)
    | ~ v2_pre_topc(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).

cnf(c_0_64,negated_conjecture,
    v2_pre_topc(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_65,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

fof(c_0_66,plain,
    l1_pre_topc(esk23_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_l1_pre_topc])]) ).

cnf(c_0_67,negated_conjecture,
    ~ m1_subset_1(k1_pre_topc(esk1_0),u1_struct_0(k6_lopclset(esk1_0))),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_68,plain,
    ( esk24_1(k1_zfmisc_1(X1)) = k1_pre_topc(X2)
    | ~ v1_xboole_0(X1)
    | ~ l1_struct_0(X2) ),
    inference(spm,[status(thm)],[c_0_48,c_0_58]) ).

cnf(c_0_69,negated_conjecture,
    l1_struct_0(esk1_0),
    inference(spm,[status(thm)],[c_0_57,c_0_59]) ).

fof(c_0_70,plain,
    ! [X160] :
      ( v3_struct_0(X160)
      | ~ v2_pre_topc(X160)
      | ~ l1_pre_topc(X160)
      | k6_lopclset(X160) = g3_lattices(k1_lopclset(X160),k4_lopclset(X160),k5_lopclset(X160)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])]) ).

fof(c_0_71,plain,
    ! [X100,X101,X102,X103,X104,X105] :
      ( ( X100 = X103
        | g3_lattices(X100,X101,X102) != g3_lattices(X103,X104,X105)
        | ~ v1_funct_1(X101)
        | ~ v1_funct_2(X101,k2_zfmisc_1(X100,X100),X100)
        | ~ m1_relset_1(X101,k2_zfmisc_1(X100,X100),X100)
        | ~ v1_funct_1(X102)
        | ~ v1_funct_2(X102,k2_zfmisc_1(X100,X100),X100)
        | ~ m1_relset_1(X102,k2_zfmisc_1(X100,X100),X100) )
      & ( X101 = X104
        | g3_lattices(X100,X101,X102) != g3_lattices(X103,X104,X105)
        | ~ v1_funct_1(X101)
        | ~ v1_funct_2(X101,k2_zfmisc_1(X100,X100),X100)
        | ~ m1_relset_1(X101,k2_zfmisc_1(X100,X100),X100)
        | ~ v1_funct_1(X102)
        | ~ v1_funct_2(X102,k2_zfmisc_1(X100,X100),X100)
        | ~ m1_relset_1(X102,k2_zfmisc_1(X100,X100),X100) )
      & ( X102 = X105
        | g3_lattices(X100,X101,X102) != g3_lattices(X103,X104,X105)
        | ~ v1_funct_1(X101)
        | ~ v1_funct_2(X101,k2_zfmisc_1(X100,X100),X100)
        | ~ m1_relset_1(X101,k2_zfmisc_1(X100,X100),X100)
        | ~ v1_funct_1(X102)
        | ~ v1_funct_2(X102,k2_zfmisc_1(X100,X100),X100)
        | ~ m1_relset_1(X102,k2_zfmisc_1(X100,X100),X100) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g3_lattices])])])]) ).

fof(c_0_72,plain,
    ! [X21] :
      ( ~ l3_lattices(X21)
      | ~ v3_lattices(X21)
      | X21 = g3_lattices(u1_struct_0(X21),u2_lattices(X21),u1_lattices(X21)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])]) ).

fof(c_0_73,plain,
    ! [X109,X110,X111] :
      ( ( v3_lattices(g3_lattices(X109,X110,X111))
        | ~ v1_funct_1(X110)
        | ~ v1_funct_2(X110,k2_zfmisc_1(X109,X109),X109)
        | ~ m1_relset_1(X110,k2_zfmisc_1(X109,X109),X109)
        | ~ v1_funct_1(X111)
        | ~ v1_funct_2(X111,k2_zfmisc_1(X109,X109),X109)
        | ~ m1_relset_1(X111,k2_zfmisc_1(X109,X109),X109) )
      & ( l3_lattices(g3_lattices(X109,X110,X111))
        | ~ v1_funct_1(X110)
        | ~ v1_funct_2(X110,k2_zfmisc_1(X109,X109),X109)
        | ~ m1_relset_1(X110,k2_zfmisc_1(X109,X109),X109)
        | ~ v1_funct_1(X111)
        | ~ v1_funct_2(X111,k2_zfmisc_1(X109,X109),X109)
        | ~ m1_relset_1(X111,k2_zfmisc_1(X109,X109),X109) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_g3_lattices])])]) ).

fof(c_0_74,plain,
    ! [X30,X31,X32] :
      ( ( ~ m2_relset_1(X32,X30,X31)
        | m1_relset_1(X32,X30,X31) )
      & ( ~ m1_relset_1(X32,X30,X31)
        | m2_relset_1(X32,X30,X31) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).

cnf(c_0_75,plain,
    ( m2_relset_1(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
    | v3_struct_0(X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_76,plain,
    ( m2_relset_1(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
    | v3_struct_0(X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_77,negated_conjecture,
    ( m1_subset_1(k1_pre_topc(X1),k1_lopclset(esk1_0))
    | ~ l1_struct_0(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_59])]),c_0_65]) ).

cnf(c_0_78,plain,
    l1_pre_topc(esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_79,negated_conjecture,
    ( ~ v1_xboole_0(X1)
    | ~ m1_subset_1(esk24_1(k1_zfmisc_1(X1)),u1_struct_0(k6_lopclset(esk1_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69])]) ).

cnf(c_0_80,plain,
    ( v3_struct_0(X1)
    | k6_lopclset(X1) = g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_81,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_71]) ).

cnf(c_0_82,plain,
    ( X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
    | ~ l3_lattices(X1)
    | ~ v3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_83,plain,
    ( l3_lattices(g3_lattices(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) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_84,plain,
    ( v3_lattices(g3_lattices(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) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_85,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_86,negated_conjecture,
    m2_relset_1(k5_lopclset(esk1_0),k2_zfmisc_1(k1_lopclset(esk1_0),k1_lopclset(esk1_0)),k1_lopclset(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_64]),c_0_59])]),c_0_65]) ).

cnf(c_0_87,negated_conjecture,
    m2_relset_1(k4_lopclset(esk1_0),k2_zfmisc_1(k1_lopclset(esk1_0),k1_lopclset(esk1_0)),k1_lopclset(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_64]),c_0_59])]),c_0_65]) ).

cnf(c_0_88,plain,
    ( v1_funct_2(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
    | v3_struct_0(X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_89,plain,
    ( v1_funct_2(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
    | v3_struct_0(X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_90,plain,
    ( v1_funct_1(k5_lopclset(X1))
    | v3_struct_0(X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_91,plain,
    ( v1_funct_1(k4_lopclset(X1))
    | v3_struct_0(X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_92,negated_conjecture,
    ( m1_subset_1(esk24_1(k1_zfmisc_1(X1)),k1_lopclset(esk1_0))
    | ~ v1_xboole_0(X1)
    | ~ l1_struct_0(X2) ),
    inference(spm,[status(thm)],[c_0_77,c_0_68]) ).

cnf(c_0_93,plain,
    l1_struct_0(esk23_0),
    inference(spm,[status(thm)],[c_0_57,c_0_78]) ).

cnf(c_0_94,negated_conjecture,
    ( ~ v1_xboole_0(X1)
    | ~ m1_subset_1(esk24_1(k1_zfmisc_1(X1)),u1_struct_0(g3_lattices(k1_lopclset(esk1_0),k4_lopclset(esk1_0),k5_lopclset(esk1_0)))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_59]),c_0_64])]),c_0_65]) ).

cnf(c_0_95,plain,
    ( u1_struct_0(g3_lattices(X1,X2,X3)) = X1
    | ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
    | ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_1(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82])]),c_0_83]),c_0_84]) ).

cnf(c_0_96,negated_conjecture,
    m1_relset_1(k5_lopclset(esk1_0),k2_zfmisc_1(k1_lopclset(esk1_0),k1_lopclset(esk1_0)),k1_lopclset(esk1_0)),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_97,negated_conjecture,
    m1_relset_1(k4_lopclset(esk1_0),k2_zfmisc_1(k1_lopclset(esk1_0),k1_lopclset(esk1_0)),k1_lopclset(esk1_0)),
    inference(spm,[status(thm)],[c_0_85,c_0_87]) ).

cnf(c_0_98,negated_conjecture,
    v1_funct_2(k5_lopclset(esk1_0),k2_zfmisc_1(k1_lopclset(esk1_0),k1_lopclset(esk1_0)),k1_lopclset(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_64]),c_0_59])]),c_0_65]) ).

cnf(c_0_99,negated_conjecture,
    v1_funct_2(k4_lopclset(esk1_0),k2_zfmisc_1(k1_lopclset(esk1_0),k1_lopclset(esk1_0)),k1_lopclset(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_64]),c_0_59])]),c_0_65]) ).

cnf(c_0_100,negated_conjecture,
    v1_funct_1(k5_lopclset(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_64]),c_0_59])]),c_0_65]) ).

cnf(c_0_101,negated_conjecture,
    v1_funct_1(k4_lopclset(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_64]),c_0_59])]),c_0_65]) ).

cnf(c_0_102,negated_conjecture,
    ( m1_subset_1(esk24_1(k1_zfmisc_1(X1)),k1_lopclset(esk1_0))
    | ~ v1_xboole_0(X1) ),
    inference(spm,[status(thm)],[c_0_92,c_0_93]) ).

cnf(c_0_103,plain,
    v1_xboole_0(k1_xboole_0),
    inference(split_conjunct,[status(thm)],[fc6_membered]) ).

cnf(c_0_104,negated_conjecture,
    ~ v1_xboole_0(X1),
    inference(csr,[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(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]),c_0_97]),c_0_98]),c_0_99]),c_0_100]),c_0_101])]),c_0_102]) ).

cnf(c_0_105,plain,
    $false,
    inference(sr,[status(thm)],[c_0_103,c_0_104]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : LAT287+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.14  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n025.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 09:31:51 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.19/0.56  start to proof: theBenchmark
% 0.80/0.93  % Version  : CSE_E---1.5
% 0.80/0.93  % Problem  : theBenchmark.p
% 0.80/0.93  % Proof found
% 0.80/0.93  % SZS status Theorem for theBenchmark.p
% 0.80/0.93  % SZS output start Proof
% See solution above
% 0.80/0.94  % Total time : 0.361000 s
% 0.80/0.94  % SZS output end Proof
% 0.80/0.94  % Total time : 0.363000 s
%------------------------------------------------------------------------------