TSTP Solution File: LAT287+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : LAT287+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n010.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  : 600s
% DateTime : Sun Jul 17 04:46:24 EDT 2022

% Result   : Theorem 0.50s 65.69s
% Output   : CNFRefutation 0.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  114 (  38 unt;   0 def)
%            Number of atoms       :  393 (  35 equ)
%            Maximal formula atoms :   24 (   3 avg)
%            Number of connectives :  450 ( 171   ~; 176   |;  79   &)
%                                         (   2 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   26 (  24 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   2 con; 0-3 aty)
%            Number of variables   :  123 (  16 sgn  71   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
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/sandbox/solver/bin/../tmp/theBenchmark.p',t16_lopclset) ).

fof(dt_k6_lopclset,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v2_pre_topc(X1)
        & l1_pre_topc(X1) )
     => ( ~ v3_struct_0(k6_lopclset(X1))
        & v10_lattices(k6_lopclset(X1))
        & l3_lattices(k6_lopclset(X1)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k6_lopclset) ).

fof(d1_lopclset,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l1_pre_topc(X1) )
     => k1_lopclset(X1) = a_1_0_lopclset(X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d1_lopclset) ).

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

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/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k4_lopclset) ).

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/sandbox/solver/bin/../tmp/theBenchmark.p',dt_u2_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/sandbox/solver/bin/../tmp/theBenchmark.p',redefinition_m2_relset_1) ).

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/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k5_lopclset) ).

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/sandbox/solver/bin/../tmp/theBenchmark.p',dt_u1_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/sandbox/solver/bin/../tmp/theBenchmark.p',dt_g3_lattices) ).

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/sandbox/solver/bin/../tmp/theBenchmark.p',d4_lopclset) ).

fof(dt_l1_pre_topc,axiom,
    ! [X1] :
      ( l1_pre_topc(X1)
     => l1_struct_0(X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_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/sandbox/solver/bin/../tmp/theBenchmark.p',free_g3_lattices) ).

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/sandbox/solver/bin/../tmp/theBenchmark.p',fc1_pre_topc) ).

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/sandbox/solver/bin/../tmp/theBenchmark.p',abstractness_v3_lattices) ).

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/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k1_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/sandbox/solver/bin/../tmp/theBenchmark.p',fc1_lopclset) ).

fof(t6_boole,axiom,
    ! [X1] :
      ( v1_xboole_0(X1)
     => X1 = k1_xboole_0 ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t6_boole) ).

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/sandbox/solver/bin/../tmp/theBenchmark.p',redefinition_m2_subset_1) ).

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/sandbox/solver/bin/../tmp/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/sandbox/solver/bin/../tmp/theBenchmark.p',t7_lopclset) ).

fof(c_0_21,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(assume_negation,[status(cth)],[t16_lopclset]) ).

fof(c_0_22,plain,
    ! [X2] :
      ( ( ~ v3_struct_0(k6_lopclset(X2))
        | v3_struct_0(X2)
        | ~ v2_pre_topc(X2)
        | ~ l1_pre_topc(X2) )
      & ( v10_lattices(k6_lopclset(X2))
        | v3_struct_0(X2)
        | ~ v2_pre_topc(X2)
        | ~ l1_pre_topc(X2) )
      & ( l3_lattices(k6_lopclset(X2))
        | v3_struct_0(X2)
        | ~ v2_pre_topc(X2)
        | ~ l1_pre_topc(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k6_lopclset])])])]) ).

fof(c_0_23,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)],[inference(fof_simplification,[status(thm)],[c_0_21])])])]) ).

fof(c_0_24,plain,
    ! [X2] :
      ( v3_struct_0(X2)
      | ~ l1_pre_topc(X2)
      | k1_lopclset(X2) = a_1_0_lopclset(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d1_lopclset])])]) ).

fof(c_0_25,plain,
    ! [X2] :
      ( ( l1_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( l2_lattices(X2)
        | ~ l3_lattices(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])]) ).

cnf(c_0_26,plain,
    ( v3_struct_0(X1)
    | l3_lattices(k6_lopclset(X1))
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_27,negated_conjecture,
    l1_pre_topc(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_28,negated_conjecture,
    v2_pre_topc(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_29,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

fof(c_0_30,plain,
    ! [X2] :
      ( ( v1_funct_1(k4_lopclset(X2))
        | v3_struct_0(X2)
        | ~ v2_pre_topc(X2)
        | ~ l1_pre_topc(X2) )
      & ( v1_funct_2(k4_lopclset(X2),k2_zfmisc_1(k1_lopclset(X2),k1_lopclset(X2)),k1_lopclset(X2))
        | v3_struct_0(X2)
        | ~ v2_pre_topc(X2)
        | ~ l1_pre_topc(X2) )
      & ( m2_relset_1(k4_lopclset(X2),k2_zfmisc_1(k1_lopclset(X2),k1_lopclset(X2)),k1_lopclset(X2))
        | v3_struct_0(X2)
        | ~ v2_pre_topc(X2)
        | ~ l1_pre_topc(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k4_lopclset])])])]) ).

cnf(c_0_31,plain,
    ( k1_lopclset(X1) = a_1_0_lopclset(X1)
    | v3_struct_0(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

fof(c_0_32,plain,
    ! [X2] :
      ( ( v1_funct_1(u2_lattices(X2))
        | ~ l2_lattices(X2) )
      & ( v1_funct_2(u2_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
        | ~ l2_lattices(X2) )
      & ( m2_relset_1(u2_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
        | ~ l2_lattices(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u2_lattices])])]) ).

cnf(c_0_33,plain,
    ( l2_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_34,negated_conjecture,
    l3_lattices(k6_lopclset(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]),c_0_29]) ).

fof(c_0_35,plain,
    ! [X4,X5,X6,X4,X5,X6] :
      ( ( ~ m2_relset_1(X6,X4,X5)
        | m1_relset_1(X6,X4,X5) )
      & ( ~ m1_relset_1(X6,X4,X5)
        | m2_relset_1(X6,X4,X5) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])])]) ).

cnf(c_0_36,plain,
    ( v3_struct_0(X1)
    | m2_relset_1(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_37,negated_conjecture,
    k1_lopclset(esk1_0) = a_1_0_lopclset(esk1_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_27]),c_0_29]) ).

fof(c_0_38,plain,
    ! [X2] :
      ( ( v1_funct_1(k5_lopclset(X2))
        | v3_struct_0(X2)
        | ~ v2_pre_topc(X2)
        | ~ l1_pre_topc(X2) )
      & ( v1_funct_2(k5_lopclset(X2),k2_zfmisc_1(k1_lopclset(X2),k1_lopclset(X2)),k1_lopclset(X2))
        | v3_struct_0(X2)
        | ~ v2_pre_topc(X2)
        | ~ l1_pre_topc(X2) )
      & ( m2_relset_1(k5_lopclset(X2),k2_zfmisc_1(k1_lopclset(X2),k1_lopclset(X2)),k1_lopclset(X2))
        | v3_struct_0(X2)
        | ~ v2_pre_topc(X2)
        | ~ l1_pre_topc(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k5_lopclset])])])]) ).

cnf(c_0_39,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_32]) ).

cnf(c_0_40,negated_conjecture,
    l2_lattices(k6_lopclset(esk1_0)),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

fof(c_0_41,plain,
    ! [X2] :
      ( ( v1_funct_1(u1_lattices(X2))
        | ~ l1_lattices(X2) )
      & ( v1_funct_2(u1_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
        | ~ l1_lattices(X2) )
      & ( m2_relset_1(u1_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
        | ~ l1_lattices(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_lattices])])]) ).

cnf(c_0_42,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_43,plain,
    ! [X4,X5,X6] :
      ( ( v3_lattices(g3_lattices(X4,X5,X6))
        | ~ v1_funct_1(X5)
        | ~ v1_funct_2(X5,k2_zfmisc_1(X4,X4),X4)
        | ~ m1_relset_1(X5,k2_zfmisc_1(X4,X4),X4)
        | ~ v1_funct_1(X6)
        | ~ v1_funct_2(X6,k2_zfmisc_1(X4,X4),X4)
        | ~ m1_relset_1(X6,k2_zfmisc_1(X4,X4),X4) )
      & ( l3_lattices(g3_lattices(X4,X5,X6))
        | ~ v1_funct_1(X5)
        | ~ v1_funct_2(X5,k2_zfmisc_1(X4,X4),X4)
        | ~ m1_relset_1(X5,k2_zfmisc_1(X4,X4),X4)
        | ~ v1_funct_1(X6)
        | ~ v1_funct_2(X6,k2_zfmisc_1(X4,X4),X4)
        | ~ m1_relset_1(X6,k2_zfmisc_1(X4,X4),X4) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_g3_lattices])])]) ).

cnf(c_0_44,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_45,negated_conjecture,
    m2_relset_1(k4_lopclset(esk1_0),k2_zfmisc_1(a_1_0_lopclset(esk1_0),a_1_0_lopclset(esk1_0)),a_1_0_lopclset(esk1_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_27]),c_0_28])]),c_0_29]),c_0_37]),c_0_37]),c_0_37]) ).

cnf(c_0_46,plain,
    ( v3_struct_0(X1)
    | v1_funct_2(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_47,plain,
    ( v3_struct_0(X1)
    | v1_funct_1(k4_lopclset(X1))
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_48,plain,
    ( v3_struct_0(X1)
    | m2_relset_1(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

fof(c_0_49,plain,
    ! [X2] :
      ( v3_struct_0(X2)
      | ~ v2_pre_topc(X2)
      | ~ l1_pre_topc(X2)
      | k6_lopclset(X2) = g3_lattices(k1_lopclset(X2),k4_lopclset(X2),k5_lopclset(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d4_lopclset])])]) ).

fof(c_0_50,plain,
    ! [X2] :
      ( ~ l1_pre_topc(X2)
      | l1_struct_0(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_pre_topc])]) ).

fof(c_0_51,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ( X7 = X10
        | g3_lattices(X7,X8,X9) != g3_lattices(X10,X11,X12)
        | ~ v1_funct_1(X8)
        | ~ v1_funct_2(X8,k2_zfmisc_1(X7,X7),X7)
        | ~ m1_relset_1(X8,k2_zfmisc_1(X7,X7),X7)
        | ~ v1_funct_1(X9)
        | ~ v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)
        | ~ m1_relset_1(X9,k2_zfmisc_1(X7,X7),X7) )
      & ( X8 = X11
        | g3_lattices(X7,X8,X9) != g3_lattices(X10,X11,X12)
        | ~ v1_funct_1(X8)
        | ~ v1_funct_2(X8,k2_zfmisc_1(X7,X7),X7)
        | ~ m1_relset_1(X8,k2_zfmisc_1(X7,X7),X7)
        | ~ v1_funct_1(X9)
        | ~ v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)
        | ~ m1_relset_1(X9,k2_zfmisc_1(X7,X7),X7) )
      & ( X9 = X12
        | g3_lattices(X7,X8,X9) != g3_lattices(X10,X11,X12)
        | ~ v1_funct_1(X8)
        | ~ v1_funct_2(X8,k2_zfmisc_1(X7,X7),X7)
        | ~ m1_relset_1(X8,k2_zfmisc_1(X7,X7),X7)
        | ~ v1_funct_1(X9)
        | ~ v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)
        | ~ m1_relset_1(X9,k2_zfmisc_1(X7,X7),X7) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g3_lattices])])])])])]) ).

cnf(c_0_52,negated_conjecture,
    m2_relset_1(u2_lattices(k6_lopclset(esk1_0)),k2_zfmisc_1(u1_struct_0(k6_lopclset(esk1_0)),u1_struct_0(k6_lopclset(esk1_0))),u1_struct_0(k6_lopclset(esk1_0))),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_53,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_32]) ).

cnf(c_0_54,plain,
    ( v1_funct_1(u2_lattices(X1))
    | ~ l2_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_55,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_41]) ).

cnf(c_0_56,negated_conjecture,
    l1_lattices(k6_lopclset(esk1_0)),
    inference(spm,[status(thm)],[c_0_42,c_0_34]) ).

cnf(c_0_57,plain,
    ( v3_lattices(g3_lattices(X2,X3,X1))
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_58,negated_conjecture,
    m1_relset_1(k4_lopclset(esk1_0),k2_zfmisc_1(a_1_0_lopclset(esk1_0),a_1_0_lopclset(esk1_0)),a_1_0_lopclset(esk1_0)),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_59,negated_conjecture,
    v1_funct_2(k4_lopclset(esk1_0),k2_zfmisc_1(a_1_0_lopclset(esk1_0),a_1_0_lopclset(esk1_0)),a_1_0_lopclset(esk1_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_27]),c_0_28])]),c_0_29]),c_0_37]),c_0_37]),c_0_37]) ).

cnf(c_0_60,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_47,c_0_27]),c_0_28])]),c_0_29]) ).

cnf(c_0_61,negated_conjecture,
    m2_relset_1(k5_lopclset(esk1_0),k2_zfmisc_1(a_1_0_lopclset(esk1_0),a_1_0_lopclset(esk1_0)),a_1_0_lopclset(esk1_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_27]),c_0_28])]),c_0_29]),c_0_37]),c_0_37]),c_0_37]) ).

cnf(c_0_62,plain,
    ( k6_lopclset(X1) = g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1))
    | v3_struct_0(X1)
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_63,plain,
    ( v3_struct_0(X1)
    | v1_funct_2(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_64,plain,
    ( v3_struct_0(X1)
    | v1_funct_1(k5_lopclset(X1))
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

fof(c_0_65,plain,
    ! [X2] :
      ( ( v1_xboole_0(k1_pre_topc(X2))
        | ~ l1_struct_0(X2) )
      & ( v1_membered(k1_pre_topc(X2))
        | ~ l1_struct_0(X2) )
      & ( v2_membered(k1_pre_topc(X2))
        | ~ l1_struct_0(X2) )
      & ( v3_membered(k1_pre_topc(X2))
        | ~ l1_struct_0(X2) )
      & ( v4_membered(k1_pre_topc(X2))
        | ~ l1_struct_0(X2) )
      & ( v5_membered(k1_pre_topc(X2))
        | ~ l1_struct_0(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_pre_topc])])]) ).

cnf(c_0_66,plain,
    ( l1_struct_0(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_67,plain,
    ( X2 = X4
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3)
    | g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_68,negated_conjecture,
    m1_relset_1(u2_lattices(k6_lopclset(esk1_0)),k2_zfmisc_1(u1_struct_0(k6_lopclset(esk1_0)),u1_struct_0(k6_lopclset(esk1_0))),u1_struct_0(k6_lopclset(esk1_0))),
    inference(spm,[status(thm)],[c_0_44,c_0_52]) ).

cnf(c_0_69,negated_conjecture,
    v1_funct_2(u2_lattices(k6_lopclset(esk1_0)),k2_zfmisc_1(u1_struct_0(k6_lopclset(esk1_0)),u1_struct_0(k6_lopclset(esk1_0))),u1_struct_0(k6_lopclset(esk1_0))),
    inference(spm,[status(thm)],[c_0_53,c_0_40]) ).

cnf(c_0_70,negated_conjecture,
    v1_funct_1(u2_lattices(k6_lopclset(esk1_0))),
    inference(spm,[status(thm)],[c_0_54,c_0_40]) ).

cnf(c_0_71,negated_conjecture,
    m2_relset_1(u1_lattices(k6_lopclset(esk1_0)),k2_zfmisc_1(u1_struct_0(k6_lopclset(esk1_0)),u1_struct_0(k6_lopclset(esk1_0))),u1_struct_0(k6_lopclset(esk1_0))),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_72,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_41]) ).

cnf(c_0_73,plain,
    ( v1_funct_1(u1_lattices(X1))
    | ~ l1_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

fof(c_0_74,plain,
    ! [X2] :
      ( ~ l3_lattices(X2)
      | ~ v3_lattices(X2)
      | X2 = g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])]) ).

cnf(c_0_75,negated_conjecture,
    ( v3_lattices(g3_lattices(a_1_0_lopclset(esk1_0),k4_lopclset(esk1_0),X1))
    | ~ m1_relset_1(X1,k2_zfmisc_1(a_1_0_lopclset(esk1_0),a_1_0_lopclset(esk1_0)),a_1_0_lopclset(esk1_0))
    | ~ v1_funct_2(X1,k2_zfmisc_1(a_1_0_lopclset(esk1_0),a_1_0_lopclset(esk1_0)),a_1_0_lopclset(esk1_0))
    | ~ v1_funct_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]),c_0_60])]) ).

cnf(c_0_76,negated_conjecture,
    m1_relset_1(k5_lopclset(esk1_0),k2_zfmisc_1(a_1_0_lopclset(esk1_0),a_1_0_lopclset(esk1_0)),a_1_0_lopclset(esk1_0)),
    inference(spm,[status(thm)],[c_0_44,c_0_61]) ).

cnf(c_0_77,negated_conjecture,
    g3_lattices(a_1_0_lopclset(esk1_0),k4_lopclset(esk1_0),k5_lopclset(esk1_0)) = k6_lopclset(esk1_0),
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_27]),c_0_28])]),c_0_29]),c_0_37]) ).

cnf(c_0_78,negated_conjecture,
    v1_funct_2(k5_lopclset(esk1_0),k2_zfmisc_1(a_1_0_lopclset(esk1_0),a_1_0_lopclset(esk1_0)),a_1_0_lopclset(esk1_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_27]),c_0_28])]),c_0_29]),c_0_37]),c_0_37]),c_0_37]) ).

cnf(c_0_79,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_64,c_0_27]),c_0_28])]),c_0_29]) ).

fof(c_0_80,plain,
    ! [X2] :
      ( v3_struct_0(X2)
      | ~ l1_pre_topc(X2)
      | m1_subset_1(k1_lopclset(X2),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X2)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k1_lopclset])])]) ).

fof(c_0_81,plain,
    ! [X2] :
      ( v3_struct_0(X2)
      | ~ v2_pre_topc(X2)
      | ~ l1_pre_topc(X2)
      | ~ v1_xboole_0(k1_lopclset(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_lopclset])])]) ).

fof(c_0_82,plain,
    ! [X2] :
      ( ~ v1_xboole_0(X2)
      | X2 = k1_xboole_0 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).

cnf(c_0_83,plain,
    ( v1_xboole_0(k1_pre_topc(X1))
    | ~ l1_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

cnf(c_0_84,negated_conjecture,
    l1_struct_0(esk1_0),
    inference(spm,[status(thm)],[c_0_66,c_0_27]) ).

cnf(c_0_85,negated_conjecture,
    ( u1_struct_0(k6_lopclset(esk1_0)) = X1
    | g3_lattices(u1_struct_0(k6_lopclset(esk1_0)),u2_lattices(k6_lopclset(esk1_0)),X2) != g3_lattices(X1,X3,X4)
    | ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(k6_lopclset(esk1_0)),u1_struct_0(k6_lopclset(esk1_0))),u1_struct_0(k6_lopclset(esk1_0)))
    | ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(k6_lopclset(esk1_0)),u1_struct_0(k6_lopclset(esk1_0))),u1_struct_0(k6_lopclset(esk1_0)))
    | ~ v1_funct_1(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]),c_0_70])]) ).

cnf(c_0_86,negated_conjecture,
    m1_relset_1(u1_lattices(k6_lopclset(esk1_0)),k2_zfmisc_1(u1_struct_0(k6_lopclset(esk1_0)),u1_struct_0(k6_lopclset(esk1_0))),u1_struct_0(k6_lopclset(esk1_0))),
    inference(spm,[status(thm)],[c_0_44,c_0_71]) ).

cnf(c_0_87,negated_conjecture,
    v1_funct_2(u1_lattices(k6_lopclset(esk1_0)),k2_zfmisc_1(u1_struct_0(k6_lopclset(esk1_0)),u1_struct_0(k6_lopclset(esk1_0))),u1_struct_0(k6_lopclset(esk1_0))),
    inference(spm,[status(thm)],[c_0_72,c_0_56]) ).

cnf(c_0_88,negated_conjecture,
    v1_funct_1(u1_lattices(k6_lopclset(esk1_0))),
    inference(spm,[status(thm)],[c_0_73,c_0_56]) ).

cnf(c_0_89,plain,
    ( X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
    | ~ v3_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_90,negated_conjecture,
    v3_lattices(k6_lopclset(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]),c_0_78]),c_0_79])]) ).

fof(c_0_91,plain,
    ! [X4,X5,X6,X6] :
      ( ( ~ m2_subset_1(X6,X4,X5)
        | m1_subset_1(X6,X5)
        | v1_xboole_0(X4)
        | v1_xboole_0(X5)
        | ~ m1_subset_1(X5,k1_zfmisc_1(X4)) )
      & ( ~ m1_subset_1(X6,X5)
        | m2_subset_1(X6,X4,X5)
        | v1_xboole_0(X4)
        | v1_xboole_0(X5)
        | ~ m1_subset_1(X5,k1_zfmisc_1(X4)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_m2_subset_1])])])])])])]) ).

cnf(c_0_92,plain,
    ( m1_subset_1(k1_lopclset(X1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1))))
    | v3_struct_0(X1)
    | ~ l1_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_93,plain,
    ( v3_struct_0(X1)
    | ~ v1_xboole_0(k1_lopclset(X1))
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

fof(c_0_94,plain,
    ! [X2,X2,X2,X2] :
      ( ~ v1_xboole_0(k1_zfmisc_1(X2))
      & v1_finsub_1(k1_zfmisc_1(X2))
      & v3_finsub_1(k1_zfmisc_1(X2))
      & v4_finsub_1(k1_zfmisc_1(X2)) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_finsub_1])])])]) ).

fof(c_0_95,plain,
    ! [X2] :
      ( v3_struct_0(X2)
      | ~ v2_pre_topc(X2)
      | ~ l1_pre_topc(X2)
      | m2_subset_1(k1_pre_topc(X2),k1_zfmisc_1(u1_struct_0(X2)),k1_lopclset(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t7_lopclset])])]) ).

cnf(c_0_96,plain,
    ( X1 = k1_xboole_0
    | ~ v1_xboole_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

cnf(c_0_97,negated_conjecture,
    v1_xboole_0(k1_pre_topc(esk1_0)),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_98,negated_conjecture,
    ( u1_struct_0(k6_lopclset(esk1_0)) = X1
    | g3_lattices(u1_struct_0(k6_lopclset(esk1_0)),u2_lattices(k6_lopclset(esk1_0)),u1_lattices(k6_lopclset(esk1_0))) != g3_lattices(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]),c_0_88])]) ).

cnf(c_0_99,negated_conjecture,
    g3_lattices(u1_struct_0(k6_lopclset(esk1_0)),u2_lattices(k6_lopclset(esk1_0)),u1_lattices(k6_lopclset(esk1_0))) = k6_lopclset(esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_34])]) ).

cnf(c_0_100,plain,
    ( v1_xboole_0(X1)
    | v1_xboole_0(X2)
    | m1_subset_1(X3,X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ m2_subset_1(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_91]) ).

cnf(c_0_101,negated_conjecture,
    m1_subset_1(a_1_0_lopclset(esk1_0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(esk1_0)))),
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_27]),c_0_29]),c_0_37]) ).

cnf(c_0_102,negated_conjecture,
    ~ v1_xboole_0(a_1_0_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_93,c_0_37]),c_0_27]),c_0_28])]),c_0_29]) ).

cnf(c_0_103,plain,
    ~ v1_xboole_0(k1_zfmisc_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_104,plain,
    ( m2_subset_1(k1_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
    | v3_struct_0(X1)
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_105,negated_conjecture,
    k1_pre_topc(esk1_0) = k1_xboole_0,
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_106,negated_conjecture,
    ~ m1_subset_1(k1_pre_topc(esk1_0),u1_struct_0(k6_lopclset(esk1_0))),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_107,negated_conjecture,
    ( u1_struct_0(k6_lopclset(esk1_0)) = X1
    | g3_lattices(X1,X2,X3) != k6_lopclset(esk1_0) ),
    inference(rw,[status(thm)],[c_0_98,c_0_99]) ).

cnf(c_0_108,negated_conjecture,
    ( m1_subset_1(X1,a_1_0_lopclset(esk1_0))
    | ~ m2_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)),a_1_0_lopclset(esk1_0)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]),c_0_103]) ).

cnf(c_0_109,negated_conjecture,
    m2_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(esk1_0)),a_1_0_lopclset(esk1_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_27]),c_0_28])]),c_0_29]),c_0_105]),c_0_37]) ).

cnf(c_0_110,negated_conjecture,
    ~ m1_subset_1(k1_xboole_0,u1_struct_0(k6_lopclset(esk1_0))),
    inference(rw,[status(thm)],[c_0_106,c_0_105]) ).

cnf(c_0_111,negated_conjecture,
    u1_struct_0(k6_lopclset(esk1_0)) = a_1_0_lopclset(esk1_0),
    inference(spm,[status(thm)],[c_0_107,c_0_77]) ).

cnf(c_0_112,negated_conjecture,
    m1_subset_1(k1_xboole_0,a_1_0_lopclset(esk1_0)),
    inference(spm,[status(thm)],[c_0_108,c_0_109]) ).

cnf(c_0_113,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_111]),c_0_112])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : LAT287+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.11  % Command  : run_ET %s %d
% 0.11/0.31  % Computer : n010.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 600
% 0.11/0.31  % DateTime : Thu Jun 30 08:37:34 EDT 2022
% 0.11/0.31  % CPUTime  : 
% 0.28/23.37  eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.28/23.37  
% 0.28/23.38  eprover: CPU time limit exceeded, terminating
% 0.28/23.38  eprover: CPU time limit exceeded, terminating
% 0.40/46.39  eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.40/46.39  
% 0.40/46.39  eprover: CPU time limit exceeded, terminating
% 0.40/46.40  eprover: CPU time limit exceeded, terminating
% 0.50/65.69  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.50/65.69  
% 0.50/65.69  # Failure: Resource limit exceeded (time)
% 0.50/65.69  # OLD status Res
% 0.50/65.69  # Preprocessing time       : 0.013 s
% 0.50/65.69  # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.50/65.69  
% 0.50/65.69  # Failure: Resource limit exceeded (time)
% 0.50/65.69  # OLD status Res
% 0.50/65.69  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.50/65.69  # Preprocessing time       : 0.010 s
% 0.50/65.69  # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 0.50/65.69  # Preprocessing time       : 0.022 s
% 0.50/65.69  
% 0.50/65.69  # Proof found!
% 0.50/65.69  # SZS status Theorem
% 0.50/65.69  # SZS output start CNFRefutation
% See solution above
% 0.50/65.69  # Proof object total steps             : 114
% 0.50/65.69  # Proof object clause steps            : 71
% 0.50/65.69  # Proof object formula steps           : 43
% 0.50/65.69  # Proof object conjectures             : 45
% 0.50/65.69  # Proof object clause conjectures      : 42
% 0.50/65.69  # Proof object formula conjectures     : 3
% 0.50/65.69  # Proof object initial clauses used    : 33
% 0.50/65.69  # Proof object initial formulas used   : 21
% 0.50/65.69  # Proof object generating inferences   : 35
% 0.50/65.69  # Proof object simplifying inferences  : 71
% 0.50/65.69  # Training examples: 0 positive, 0 negative
% 0.50/65.69  # Parsed axioms                        : 95
% 0.50/65.69  # Removed by relevancy pruning/SinE    : 0
% 0.50/65.69  # Initial clauses                      : 204
% 0.50/65.69  # Removed in clause preprocessing      : 14
% 0.50/65.69  # Initial clauses in saturation        : 190
% 0.50/65.69  # Processed clauses                    : 27307
% 0.50/65.69  # ...of these trivial                  : 428
% 0.50/65.69  # ...subsumed                          : 7517
% 0.50/65.69  # ...remaining for further processing  : 19362
% 0.50/65.69  # Other redundant clauses eliminated   : 1
% 0.50/65.69  # Clauses deleted for lack of memory   : 456874
% 0.50/65.69  # Backward-subsumed                    : 45
% 0.50/65.69  # Backward-rewritten                   : 687
% 0.50/65.69  # Generated clauses                    : 555220
% 0.50/65.69  # ...of the previous two non-trivial   : 553385
% 0.50/65.69  # Contextual simplify-reflections      : 2426
% 0.50/65.69  # Paramodulations                      : 554497
% 0.50/65.69  # Factorizations                       : 562
% 0.50/65.69  # Equation resolutions                 : 22
% 0.50/65.69  # Current number of processed clauses  : 18490
% 0.50/65.69  #    Positive orientable unit clauses  : 953
% 0.50/65.69  #    Positive unorientable unit clauses: 0
% 0.50/65.69  #    Negative unit clauses             : 55
% 0.50/65.69  #    Non-unit-clauses                  : 17482
% 0.50/65.69  # Current number of unprocessed clauses: 65462
% 0.50/65.69  # ...number of literals in the above   : 267083
% 0.50/65.69  # Current number of archived formulas  : 0
% 0.50/65.69  # Current number of archived clauses   : 871
% 0.50/65.69  # Clause-clause subsumption calls (NU) : 61669325
% 0.50/65.69  # Rec. Clause-clause subsumption calls : 8623069
% 0.50/65.69  # Non-unit clause-clause subsumptions  : 9868
% 0.50/65.69  # Unit Clause-clause subsumption calls : 396711
% 0.50/65.69  # Rewrite failures with RHS unbound    : 0
% 0.50/65.69  # BW rewrite match attempts            : 3021
% 0.50/65.69  # BW rewrite match successes           : 37
% 0.50/65.69  # Condensation attempts                : 0
% 0.50/65.69  # Condensation successes               : 0
% 0.50/65.69  # Termbank termtop insertions          : 16683742
% 0.50/65.69  
% 0.50/65.69  # -------------------------------------------------
% 0.50/65.69  # User time                : 18.974 s
% 0.50/65.69  # System time              : 0.170 s
% 0.50/65.69  # Total time               : 19.144 s
% 0.50/65.69  # Maximum resident set size: 159140 pages
% 0.50/69.41  eprover: CPU time limit exceeded, terminating
% 0.50/69.41  eprover: CPU time limit exceeded, terminating
% 0.50/69.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.43  eprover: No such file or directory
% 0.50/69.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.43  eprover: No such file or directory
% 0.50/69.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.43  eprover: eprover: No such file or directory
% 0.50/69.43  CPU time limit exceeded, terminating
% 0.50/69.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.43  eprover: No such file or directory
% 0.50/69.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.44  eprover: No such file or directory
% 0.50/69.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.44  eprover: No such file or directory
% 0.50/69.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.44  eprover: No such file or directory
% 0.50/69.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.44  eprover: No such file or directory
% 0.50/69.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.50/69.44  eprover: No such file or directory
% 0.50/69.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.45  eprover: No such file or directory
% 0.50/69.45  eprover: eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.pCannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.45  
% 0.50/69.45  eprover: No such file or directory
% 0.50/69.45  eprover: No such file or directory
% 0.50/69.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.45  eprover: No such file or directory
% 0.50/69.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.45  eprover: No such file or directory
% 0.50/69.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.50/69.45  eprover: No such file or directory
% 0.50/69.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.45  eprover: No such file or directory
% 0.50/69.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.46  eprover: No such file or directory
% 0.50/69.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.50/69.46  eprover: No such file or directory
% 0.50/69.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.46  eprover: No such file or directory
% 0.50/69.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.46  eprover: No such file or directory
% 0.50/69.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.50/69.46  eprover: No such file or directory
% 0.50/69.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.46  eprover: No such file or directory
% 0.50/69.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.50/69.47  eprover: No such file or directory
% 0.50/69.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.47  eprover: No such file or directory
% 0.50/69.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.50/69.47  eprover: No such file or directory
% 0.50/69.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.50/69.47  eprover: No such file or directory
%------------------------------------------------------------------------------