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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : LAT296+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 01:04:45 PM UTC 2026

% Result   : Theorem 2.23s 0.70s
% Output   : CNFRefutation 2.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   89 (  22 unt;   0 def)
%            Number of atoms       :  518 (  74 equ)
%            Maximal formula atoms :   24 (   5 avg)
%            Number of connectives :  701 ( 272   ~; 271   |; 102   &)
%                                         (   3 <=>;  53  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   19 (  17 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-3 aty)
%            Number of variables   :  159 (  16 sgn  72   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
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)
     => ( m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
        & v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
        & v1_funct_1(u2_lattices(X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u2_lattices) ).

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

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

fof(t12_filter_2,conjecture,
    ! [X1] :
      ( ( l3_lattices(X1)
        & v17_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => ! [X2] :
          ( ( l3_lattices(X2)
            & v17_lattices(X2)
            & v10_lattices(X2)
            & ~ v3_struct_0(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)
     => ( l2_lattices(X1)
        & l1_lattices(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).

fof(d21_lattices,axiom,
    ! [X1] :
      ( ( l3_lattices(X1)
        & ~ v3_struct_0(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,u1_struct_0(X1))
         => ( ( l3_lattices(X1)
              & v16_lattices(X1)
              & v11_lattices(X1)
              & v10_lattices(X1)
              & ~ v3_struct_0(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(t11_filter_2,axiom,
    ! [X1] :
      ( ( l3_lattices(X1)
        & v16_lattices(X1)
        & v15_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => ! [X2] :
          ( ( l3_lattices(X2)
            & v16_lattices(X2)
            & v15_lattices(X2)
            & v10_lattices(X2)
            & ~ v3_struct_0(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))
                           => ( ( r2_lattices(X1,X3,X4)
                                & X4 = X6
                                & X3 = X5 )
                             => r2_lattices(X2,X5,X6) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_filter_2) ).

fof(dt_k7_lattices,axiom,
    ! [X1,X2] :
      ( ( m1_subset_1(X2,u1_struct_0(X1))
        & l3_lattices(X1)
        & ~ v3_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(cc5_lattices,axiom,
    ! [X1] :
      ( l3_lattices(X1)
     => ( ( v17_lattices(X1)
          & ~ v3_struct_0(X1) )
       => ( v16_lattices(X1)
          & v15_lattices(X1)
          & v14_lattices(X1)
          & v13_lattices(X1)
          & v11_lattices(X1)
          & ~ v3_struct_0(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_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(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).

fof(c_0_11,plain,
    ! [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)
        | v1_funct_2(u2_lattices(X41),k2_zfmisc_1(u1_struct_0(X41),u1_struct_0(X41)),u1_struct_0(X41)) )
      & ( ~ l2_lattices(X41)
        | v1_funct_1(u2_lattices(X41)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[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] :
      ( ( ~ m1_relset_1(X67,k2_zfmisc_1(X65,X65),X65)
        | ~ v1_funct_2(X67,k2_zfmisc_1(X65,X65),X65)
        | ~ v1_funct_1(X67)
        | ~ m1_relset_1(X66,k2_zfmisc_1(X65,X65),X65)
        | ~ v1_funct_2(X66,k2_zfmisc_1(X65,X65),X65)
        | ~ v1_funct_1(X66)
        | g3_lattices(X65,X66,X67) != g3_lattices(X68,X69,X70)
        | X67 = X70 )
      & ( ~ m1_relset_1(X67,k2_zfmisc_1(X65,X65),X65)
        | ~ v1_funct_2(X67,k2_zfmisc_1(X65,X65),X65)
        | ~ v1_funct_1(X67)
        | ~ m1_relset_1(X66,k2_zfmisc_1(X65,X65),X65)
        | ~ v1_funct_2(X66,k2_zfmisc_1(X65,X65),X65)
        | ~ v1_funct_1(X66)
        | g3_lattices(X65,X66,X67) != g3_lattices(X68,X69,X70)
        | X66 = X69 )
      & ( ~ m1_relset_1(X67,k2_zfmisc_1(X65,X65),X65)
        | ~ v1_funct_2(X67,k2_zfmisc_1(X65,X65),X65)
        | ~ v1_funct_1(X67)
        | ~ m1_relset_1(X66,k2_zfmisc_1(X65,X65),X65)
        | ~ v1_funct_2(X66,k2_zfmisc_1(X65,X65),X65)
        | ~ v1_funct_1(X66)
        | g3_lattices(X65,X66,X67) != g3_lattices(X68,X69,X70)
        | X65 = X68 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[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,
    ( ~ m2_relset_1(X1,X2,X3)
    | m1_relset_1(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

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

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

fof(c_0_16,negated_conjecture,
    ~ ! [X1] :
        ( ( l3_lattices(X1)
          & v17_lattices(X1)
          & v10_lattices(X1)
          & ~ v3_struct_0(X1) )
       => ! [X2] :
            ( ( l3_lattices(X2)
              & v17_lattices(X2)
              & v10_lattices(X2)
              & ~ v3_struct_0(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(assume_negation,[status(cth)],[t12_filter_2]) ).

cnf(c_0_17,plain,
    ( ~ m1_relset_1(X1,k2_zfmisc_1(X3,X3),X3)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)
    | ~ v1_funct_1(X1)
    | ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
    | ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
    | ~ v1_funct_1(X4)
    | g3_lattices(X3,X4,X1) != g3_lattices(X5,X6,X2)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_18,plain,
    ( ~ l2_lattices(X1)
    | m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_19,plain,
    ( ~ l2_lattices(X1)
    | v1_funct_1(u2_lattices(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_20,plain,
    ( ~ l2_lattices(X1)
    | v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_21,plain,
    ( ~ l1_lattices(X1)
    | m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_22,negated_conjecture,
    ~ ! [X1] :
        ( ( l3_lattices(X1)
          & v17_lattices(X1)
          & v10_lattices(X1)
          & ~ v3_struct_0(X1) )
       => ! [X2] :
            ( ( l3_lattices(X2)
              & v17_lattices(X2)
              & v10_lattices(X2)
              & ~ v3_struct_0(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)],[c_0_16]) ).

cnf(c_0_23,plain,
    ( ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))
    | ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))
    | ~ l2_lattices(X3)
    | g3_lattices(u1_struct_0(X3),u2_lattices(X3),X1) != g3_lattices(X4,X5,X2)
    | X1 = X2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20]) ).

cnf(c_0_24,plain,
    ( ~ l1_lattices(X1)
    | m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
    inference(spm,[status(thm)],[c_0_13,c_0_21]) ).

cnf(c_0_25,plain,
    ( ~ l1_lattices(X1)
    | v1_funct_1(u1_lattices(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_26,plain,
    ( ~ l1_lattices(X1)
    | v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_27,negated_conjecture,
    ( k7_lattices(esk1_0,esk3_0) != k7_lattices(esk2_0,esk4_0)
    & esk3_0 = esk4_0
    & m1_subset_1(esk4_0,u1_struct_0(esk2_0))
    & m1_subset_1(esk3_0,u1_struct_0(esk1_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))
    & l3_lattices(esk2_0)
    & v17_lattices(esk2_0)
    & v10_lattices(esk2_0)
    & ~ v3_struct_0(esk2_0)
    & l3_lattices(esk1_0)
    & v17_lattices(esk1_0)
    & v10_lattices(esk1_0)
    & ~ v3_struct_0(esk1_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])]) ).

cnf(c_0_28,plain,
    ( ~ l1_lattices(X1)
    | ~ l2_lattices(X1)
    | g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(X3,X4,X2)
    | u1_lattices(X1) = X2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26]) ).

cnf(c_0_29,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_27]) ).

cnf(c_0_30,negated_conjecture,
    ( ~ l1_lattices(esk2_0)
    | ~ l2_lattices(esk2_0)
    | g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != g3_lattices(X2,X3,X1)
    | u1_lattices(esk2_0) = X1 ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

fof(c_0_31,plain,
    ! [X36] :
      ( ( ~ l3_lattices(X36)
        | l2_lattices(X36) )
      & ( ~ l3_lattices(X36)
        | l1_lattices(X36) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])])]) ).

fof(c_0_32,plain,
    ! [X1] :
      ( ( l3_lattices(X1)
        & ~ v3_struct_0(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,u1_struct_0(X1))
         => ( ( l3_lattices(X1)
              & v16_lattices(X1)
              & v11_lattices(X1)
              & v10_lattices(X1)
              & ~ v3_struct_0(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_33,negated_conjecture,
    ( ~ l1_lattices(esk2_0)
    | ~ l2_lattices(esk2_0)
    | u1_lattices(esk2_0) = u1_lattices(esk1_0) ),
    inference(er,[status(thm)],[c_0_30]) ).

cnf(c_0_34,plain,
    ( ~ l3_lattices(X1)
    | l2_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_35,negated_conjecture,
    l3_lattices(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

fof(c_0_36,plain,
    ! [X1] :
      ( ( l3_lattices(X1)
        & v16_lattices(X1)
        & v15_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => ! [X2] :
          ( ( l3_lattices(X2)
            & v16_lattices(X2)
            & v15_lattices(X2)
            & v10_lattices(X2)
            & ~ v3_struct_0(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))
                           => ( ( r2_lattices(X1,X3,X4)
                                & X4 = X6
                                & X3 = X5 )
                             => r2_lattices(X2,X5,X6) ) ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[t11_filter_2]) ).

fof(c_0_37,plain,
    ! [X26,X27,X28] :
      ( ( ~ l3_lattices(X26)
        | v3_struct_0(X26)
        | ~ m1_subset_1(X27,u1_struct_0(X26))
        | ~ l3_lattices(X26)
        | ~ v16_lattices(X26)
        | ~ v11_lattices(X26)
        | ~ v10_lattices(X26)
        | v3_struct_0(X26)
        | ~ m1_subset_1(X28,u1_struct_0(X26))
        | X28 = k7_lattices(X26,X27)
        | ~ r2_lattices(X26,X28,X27) )
      & ( ~ l3_lattices(X26)
        | v3_struct_0(X26)
        | ~ m1_subset_1(X27,u1_struct_0(X26))
        | ~ l3_lattices(X26)
        | ~ v16_lattices(X26)
        | ~ v11_lattices(X26)
        | ~ v10_lattices(X26)
        | v3_struct_0(X26)
        | ~ m1_subset_1(X28,u1_struct_0(X26))
        | r2_lattices(X26,X28,X27)
        | X28 != k7_lattices(X26,X27) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])])]) ).

fof(c_0_38,plain,
    ! [X1,X2] :
      ( ( m1_subset_1(X2,u1_struct_0(X1))
        & l3_lattices(X1)
        & ~ v3_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_39,plain,
    ( ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_1(X4)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_1(X3)
    | g3_lattices(X1,X3,X4) != g3_lattices(X2,X5,X6)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_40,negated_conjecture,
    ( ~ l1_lattices(esk2_0)
    | u1_lattices(esk2_0) = u1_lattices(esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).

cnf(c_0_41,plain,
    ( ~ l3_lattices(X1)
    | l1_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

fof(c_0_42,plain,
    ! [X94,X95,X96,X97,X98,X99] :
      ( r2_lattices(X95,X98,X99)
      | ~ r2_lattices(X94,X96,X97)
      | X97 != X99
      | X96 != X98
      | ~ m1_subset_1(X99,u1_struct_0(X95))
      | ~ m1_subset_1(X98,u1_struct_0(X95))
      | ~ m1_subset_1(X97,u1_struct_0(X94))
      | ~ m1_subset_1(X96,u1_struct_0(X94))
      | g3_lattices(u1_struct_0(X94),u2_lattices(X94),u1_lattices(X94)) != g3_lattices(u1_struct_0(X95),u2_lattices(X95),u1_lattices(X95))
      | ~ l3_lattices(X95)
      | ~ v16_lattices(X95)
      | ~ v15_lattices(X95)
      | ~ v10_lattices(X95)
      | v3_struct_0(X95)
      | ~ l3_lattices(X94)
      | ~ v16_lattices(X94)
      | ~ v15_lattices(X94)
      | ~ v10_lattices(X94)
      | v3_struct_0(X94) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])]) ).

cnf(c_0_43,plain,
    ( ~ l3_lattices(X2)
    | ~ m1_subset_1(X3,u1_struct_0(X2))
    | ~ l3_lattices(X2)
    | ~ v16_lattices(X2)
    | ~ v11_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m1_subset_1(X1,u1_struct_0(X2))
    | X1 != k7_lattices(X2,X3)
    | v3_struct_0(X2)
    | v3_struct_0(X2)
    | r2_lattices(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

fof(c_0_44,plain,
    ! [X32,X33] :
      ( m1_subset_1(k7_lattices(X32,X33),u1_struct_0(X32))
      | ~ m1_subset_1(X33,u1_struct_0(X32))
      | ~ l3_lattices(X32)
      | v3_struct_0(X32) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])]) ).

fof(c_0_45,plain,
    ! [X1] :
      ( l3_lattices(X1)
     => ( ( v17_lattices(X1)
          & ~ v3_struct_0(X1) )
       => ( v16_lattices(X1)
          & v15_lattices(X1)
          & v14_lattices(X1)
          & v13_lattices(X1)
          & v11_lattices(X1)
          & ~ v3_struct_0(X1) ) ) ),
    inference(fof_simplification,[status(thm)],[cc5_lattices]) ).

cnf(c_0_46,plain,
    ( ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l1_lattices(X1)
    | g3_lattices(u1_struct_0(X1),X3,u1_lattices(X1)) != g3_lattices(X2,X4,X5)
    | u1_struct_0(X1) = X2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_24]),c_0_25]),c_0_26]) ).

cnf(c_0_47,negated_conjecture,
    u1_lattices(esk2_0) = u1_lattices(esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_35])]) ).

cnf(c_0_48,plain,
    ( ~ r2_lattices(X1,X3,X4)
    | X4 != X6
    | X3 != X5
    | ~ m1_subset_1(X6,u1_struct_0(X2))
    | ~ m1_subset_1(X5,u1_struct_0(X2))
    | ~ m1_subset_1(X4,u1_struct_0(X1))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))
    | ~ l3_lattices(X2)
    | ~ v16_lattices(X2)
    | ~ v15_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X1)
    | ~ v16_lattices(X1)
    | ~ v15_lattices(X1)
    | ~ v10_lattices(X1)
    | r2_lattices(X2,X5,X6)
    | v3_struct_0(X2)
    | v3_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_49,plain,
    ( ~ m1_subset_1(X1,u1_struct_0(X2))
    | ~ m1_subset_1(X3,u1_struct_0(X2))
    | ~ v16_lattices(X2)
    | ~ v11_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | X1 != k7_lattices(X2,X3)
    | r2_lattices(X2,X1,X3)
    | v3_struct_0(X2) ),
    inference(cn,[status(thm)],[c_0_43]) ).

cnf(c_0_50,plain,
    ( ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | m1_subset_1(k7_lattices(X1,X2),u1_struct_0(X1))
    | v3_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

fof(c_0_51,plain,
    ! [X23] :
      ( ( ~ l3_lattices(X23)
        | ~ v17_lattices(X23)
        | v3_struct_0(X23)
        | v16_lattices(X23) )
      & ( ~ l3_lattices(X23)
        | ~ v17_lattices(X23)
        | v3_struct_0(X23)
        | v15_lattices(X23) )
      & ( ~ l3_lattices(X23)
        | ~ v17_lattices(X23)
        | v3_struct_0(X23)
        | v14_lattices(X23) )
      & ( ~ l3_lattices(X23)
        | ~ v17_lattices(X23)
        | v3_struct_0(X23)
        | v13_lattices(X23) )
      & ( ~ l3_lattices(X23)
        | ~ v17_lattices(X23)
        | v3_struct_0(X23)
        | v11_lattices(X23) )
      & ( ~ l3_lattices(X23)
        | ~ v17_lattices(X23)
        | v3_struct_0(X23)
        | ~ v3_struct_0(X23) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])]) ).

cnf(c_0_52,plain,
    ( ~ l1_lattices(X1)
    | ~ l2_lattices(X1)
    | g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(X2,X3,X4)
    | u1_struct_0(X1) = X2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_18]),c_0_19]),c_0_20]) ).

cnf(c_0_53,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_29,c_0_47]) ).

cnf(c_0_54,plain,
    ( ~ v10_lattices(X4)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X4)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X4))
    | ~ m1_subset_1(X3,u1_struct_0(X4))
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ v15_lattices(X4)
    | ~ v15_lattices(X1)
    | ~ v16_lattices(X4)
    | ~ v16_lattices(X1)
    | ~ r2_lattices(X4,X2,X3)
    | g3_lattices(u1_struct_0(X4),u2_lattices(X4),u1_lattices(X4)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
    | v3_struct_0(X4)
    | v3_struct_0(X1)
    | r2_lattices(X1,X2,X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_48])]) ).

cnf(c_0_55,plain,
    ( ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ v11_lattices(X1)
    | ~ v16_lattices(X1)
    | v3_struct_0(X1)
    | r2_lattices(X1,k7_lattices(X1,X2),X2) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_49]),c_0_50]) ).

cnf(c_0_56,plain,
    ( ~ l3_lattices(X1)
    | ~ v17_lattices(X1)
    | v3_struct_0(X1)
    | v11_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_57,negated_conjecture,
    v17_lattices(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_58,negated_conjecture,
    ~ v3_struct_0(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_59,plain,
    ( ~ l3_lattices(X1)
    | ~ v17_lattices(X1)
    | v3_struct_0(X1)
    | v15_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_60,negated_conjecture,
    ( ~ l1_lattices(esk2_0)
    | ~ l2_lattices(esk2_0)
    | g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != g3_lattices(X1,X2,X3)
    | u1_struct_0(esk2_0) = X1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_47]),c_0_53]) ).

cnf(c_0_61,plain,
    ( ~ v10_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X2))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(k7_lattices(X2,X3),u1_struct_0(X1))
    | ~ v15_lattices(X2)
    | ~ v15_lattices(X1)
    | ~ v11_lattices(X2)
    | ~ v16_lattices(X2)
    | ~ v16_lattices(X1)
    | g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | r2_lattices(X1,k7_lattices(X2,X3),X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_50]) ).

cnf(c_0_62,negated_conjecture,
    v11_lattices(esk2_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_35])]),c_0_58]) ).

cnf(c_0_63,negated_conjecture,
    v15_lattices(esk2_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_57]),c_0_35])]),c_0_58]) ).

cnf(c_0_64,negated_conjecture,
    v10_lattices(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_65,negated_conjecture,
    v17_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_66,negated_conjecture,
    l3_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_67,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_68,negated_conjecture,
    ( ~ l1_lattices(esk2_0)
    | ~ l2_lattices(esk2_0)
    | u1_struct_0(esk2_0) = u1_struct_0(esk1_0) ),
    inference(er,[status(thm)],[c_0_60]) ).

cnf(c_0_69,plain,
    ( ~ l3_lattices(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v16_lattices(X1)
    | ~ v11_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ r2_lattices(X1,X2,X3)
    | v3_struct_0(X1)
    | v3_struct_0(X1)
    | X2 = k7_lattices(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_70,negated_conjecture,
    ( ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(esk2_0))
    | ~ m1_subset_1(k7_lattices(esk2_0,X2),u1_struct_0(X1))
    | ~ v15_lattices(X1)
    | ~ v16_lattices(X1)
    | ~ v16_lattices(esk2_0)
    | g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
    | v3_struct_0(X1)
    | r2_lattices(X1,k7_lattices(esk2_0,X2),X2) ),
    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_61,c_0_29]),c_0_62]),c_0_63]),c_0_35]),c_0_64])]),c_0_58]) ).

cnf(c_0_71,negated_conjecture,
    v15_lattices(esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_65]),c_0_66])]),c_0_67]) ).

cnf(c_0_72,negated_conjecture,
    v10_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_73,negated_conjecture,
    ( ~ l1_lattices(esk2_0)
    | u1_struct_0(esk2_0) = u1_struct_0(esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_34]),c_0_35])]) ).

cnf(c_0_74,plain,
    ( ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ r2_lattices(X1,X2,X3)
    | ~ v16_lattices(X1)
    | ~ v11_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | v3_struct_0(X1)
    | X2 = k7_lattices(X1,X3) ),
    inference(cn,[status(thm)],[c_0_69]) ).

cnf(c_0_75,negated_conjecture,
    ( ~ m1_subset_1(X1,u1_struct_0(esk1_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk2_0))
    | ~ m1_subset_1(k7_lattices(esk2_0,X1),u1_struct_0(esk1_0))
    | ~ v16_lattices(esk1_0)
    | ~ v16_lattices(esk2_0)
    | r2_lattices(esk1_0,k7_lattices(esk2_0,X1),X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_70]),c_0_71]),c_0_66]),c_0_72])]),c_0_67]) ).

cnf(c_0_76,negated_conjecture,
    v11_lattices(esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_65]),c_0_66])]),c_0_67]) ).

cnf(c_0_77,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_73,c_0_41]),c_0_35])]) ).

cnf(c_0_78,negated_conjecture,
    k7_lattices(esk1_0,esk3_0) != k7_lattices(esk2_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_79,negated_conjecture,
    esk3_0 = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_80,negated_conjecture,
    ( ~ m1_subset_1(X1,u1_struct_0(esk2_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk1_0))
    | ~ m1_subset_1(k7_lattices(esk2_0,X1),u1_struct_0(esk1_0))
    | ~ v16_lattices(esk2_0)
    | ~ v16_lattices(esk1_0)
    | k7_lattices(esk2_0,X1) = k7_lattices(esk1_0,X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]),c_0_66]),c_0_72])]),c_0_67]) ).

cnf(c_0_81,negated_conjecture,
    ( ~ m1_subset_1(X1,u1_struct_0(esk1_0))
    | m1_subset_1(k7_lattices(esk2_0,X1),u1_struct_0(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_77]),c_0_35])]),c_0_58]) ).

cnf(c_0_82,negated_conjecture,
    k7_lattices(esk2_0,esk3_0) != k7_lattices(esk1_0,esk3_0),
    inference(rw,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_83,negated_conjecture,
    ( ~ m1_subset_1(X1,u1_struct_0(esk1_0))
    | ~ v16_lattices(esk2_0)
    | ~ v16_lattices(esk1_0)
    | k7_lattices(esk2_0,X1) = k7_lattices(esk1_0,X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_77])]),c_0_81]) ).

cnf(c_0_84,negated_conjecture,
    m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_85,negated_conjecture,
    ( ~ v16_lattices(esk2_0)
    | ~ v16_lattices(esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84])]) ).

cnf(c_0_86,plain,
    ( ~ l3_lattices(X1)
    | ~ v17_lattices(X1)
    | v3_struct_0(X1)
    | v16_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_87,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_85,c_0_86]),c_0_35]),c_0_57])]),c_0_58]) ).

cnf(c_0_88,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_87,c_0_86]),c_0_66]),c_0_65])]),c_0_67]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : LAT296+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.02  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.31  % Computer : n012.cluster.edu
% 0.03/0.31  % Model    : x86_64 x86_64
% 0.03/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31  % Memory   : 8046.5625MB
% 0.03/0.31  % OS       : Linux 6.8.0-71-generic
% 0.03/0.31  % CPULimit : 300
% 0.03/0.31  % WCLimit  : 300
% 0.03/0.31  % DateTime : Sun Sep 20 23:28:37 UTC 2026
% 0.03/0.31  % CPUTime  : 
% 0.03/0.31  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.33  Running first-order theorem proving
% 0.07/0.33  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.23/0.70  % Version: 3.5.1
% 2.23/0.70  % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.23/0.70  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.23/0.70  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.23/0.70  % Starting new_bool_3 with 300s (1) cores
% 2.23/0.70  % Starting new_bool_1 with 300s (1) cores
% 2.23/0.70  % Starting sh5l with 300s (1) cores
% 2.23/0.70  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1078777 completed with status 0
% 2.23/0.70  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 2.23/0.70  % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.23/0.70  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.23/0.70  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.23/0.70  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.23/0.70  % No SInE strategy applied
% 2.23/0.70  % Search class: FGHSM-FSMM31-SFFFFFNN
% 2.23/0.70  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.23/0.70  % Starting SubtermCWHack with 136s (1) cores
% 2.23/0.70  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.23/0.70  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 136s (1) cores
% 2.23/0.70  % Starting new_bool_3 with 136s (1) cores
% 2.23/0.70  % Starting new_bool_1 with 136s (1) cores
% 2.23/0.70  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with pid 1078789 completed with status 0
% 2.23/0.70  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y
% 2.23/0.70  % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.23/0.70  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.23/0.70  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.23/0.70  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.23/0.70  % No SInE strategy applied
% 2.23/0.70  % Search class: FGHSM-FSMM31-SFFFFFNN
% 2.23/0.70  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.23/0.70  % Starting SubtermCWHack with 136s (1) cores
% 2.23/0.70  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.23/0.70  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 136s (1) cores
% 2.23/0.70  % Preprocessing time       : 0.002 s
% 2.23/0.70  % Presaturation interreduction done
% 2.23/0.70  
% 2.23/0.70  % Proof found!
% 2.23/0.70  % SZS status Theorem
% 2.23/0.70  % SZS output start CNFRefutation
% See solution above
% 2.23/0.70  % Parsed axioms                        : 73
% 2.23/0.70  % Removed by relevancy pruning/SinE    : 0
% 2.23/0.70  % Initial clauses                      : 213
% 2.23/0.70  % Removed in clause preprocessing      : 17
% 2.23/0.70  % Initial clauses in saturation        : 196
% 2.23/0.70  % Processed clauses                    : 3621
% 2.23/0.70  % ...of these trivial                  : 0
% 2.23/0.70  % ...subsumed                          : 2262
% 2.23/0.70  % ...remaining for further processing  : 1359
% 2.23/0.70  % Other redundant clauses eliminated   : 42
% 2.23/0.70  % Clauses deleted for lack of memory   : 0
% 2.23/0.70  % Backward-subsumed                    : 146
% 2.23/0.70  % Backward-rewritten                   : 142
% 2.23/0.70  % Generated clauses                    : 16455
% 2.23/0.70  % ...of the previous two non-redundant : 15069
% 2.23/0.70  % ...aggressively subsumed             : 0
% 2.23/0.70  % Contextual simplify-reflections      : 212
% 2.23/0.70  % Paramodulations                      : 16382
% 2.23/0.70  % Factorizations                       : 0
% 2.23/0.70  % NegExts                              : 0
% 2.23/0.70  % Equation resolutions                 : 74
% 2.23/0.70  % Disequality decompositions           : 0
% 2.23/0.70  % Total rewrite steps                  : 1887
% 2.23/0.70  % ...of those cached                   : 1808
% 2.23/0.70  % Propositional unsat checks           : 0
% 2.23/0.70  %    Propositional check models        : 0
% 2.23/0.70  %    Propositional check unsatisfiable : 0
% 2.23/0.70  %    Propositional clauses             : 0
% 2.23/0.70  %    Propositional clauses after purity: 0
% 2.23/0.70  %    Propositional unsat core size     : 0
% 2.23/0.70  %    Propositional preprocessing time  : 0.000
% 2.23/0.70  %    Propositional encoding time       : 0.000
% 2.23/0.70  %    Propositional solver time         : 0.000
% 2.23/0.70  %    Success case prop preproc time    : 0.000
% 2.23/0.70  %    Success case prop encoding time   : 0.000
% 2.23/0.70  %    Success case prop solver time     : 0.000
% 2.23/0.70  % Current number of processed clauses  : 888
% 2.23/0.70  %    Positive orientable unit clauses  : 113
% 2.23/0.70  %    Positive unorientable unit clauses: 0
% 2.23/0.70  %    Negative unit clauses             : 17
% 2.23/0.70  %    Non-unit-clauses                  : 758
% 2.23/0.70  % Current number of unprocessed clauses: 11538
% 2.23/0.70  % ...number of literals in the above   : 83941
% 2.23/0.70  % Current number of archived formulas  : 0
% 2.23/0.70  % Current number of archived clauses   : 469
% 2.23/0.70  % Clause-clause subsumption calls (NU) : 202873
% 2.23/0.70  % Rec. Clause-clause subsumption calls : 44198
% 2.23/0.70  % Non-unit clause-clause subsumptions  : 2260
% 2.23/0.70  % Unit Clause-clause subsumption calls : 848
% 2.23/0.70  % Rewrite failures with RHS unbound    : 0
% 2.23/0.70  % BW rewrite match attempts            : 23
% 2.23/0.70  % BW rewrite match successes           : 6
% 2.23/0.70  % Condensation attempts                : 0
% 2.23/0.70  % Condensation successes               : 0
% 2.23/0.70  % Termbank termtop insertions          : 536310
% 2.23/0.70  % Search garbage collected termcells   : 1874
% 2.23/0.70  
% 2.23/0.70  % -------------------------------------------------
% 2.23/0.70  % User time                : 0.340 s
% 2.23/0.70  % System time              : 0.008 s
% 2.23/0.70  % Total time               : 0.348 s
% 2.23/0.70  % Maximum resident set size: 3968 pages
% 2.23/0.70  
% 2.23/0.70  % -------------------------------------------------
% 2.23/0.70  % User time                : 1.668 s
% 2.23/0.70  % System time              : 0.062 s
% 2.23/0.70  % Total time               : 1.730 s
% 2.23/0.70  % Maximum resident set size: 4864 pages
% 2.23/0.70  % E exiting
%------------------------------------------------------------------------------