TSTP Solution File: LAT306+2 by E-SAT---3.1

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%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : LAT306+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n006.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 18:10:33 EDT 2023

% Result   : Theorem 491.52s 63.58s
% Output   : CNFRefutation 491.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  113 (  29 unt;   0 def)
%            Number of atoms       :  523 (  36 equ)
%            Maximal formula atoms :   36 (   4 avg)
%            Number of connectives :  629 ( 219   ~; 215   |; 130   &)
%                                         (  10 <=>;  55  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   26 (  24 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   1 con; 0-2 aty)
%            Number of variables   :  128 (   0 sgn;  92   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t32_filter_2,conjecture,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ( v14_lattices(X1)
       => r1_filter_2(u1_struct_0(X1),k17_filter_2(X1),k18_filter_2(X1,k6_lattices(X1))) ) ),
    file('/export/starexec/sandbox/tmp/tmp.ZhZeVIngKO/E---3.1_23666.p',t32_filter_2) ).

fof(dt_k6_lattices,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l2_lattices(X1) )
     => m1_subset_1(k6_lattices(X1),u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.ZhZeVIngKO/E---3.1_23666.p',dt_k6_lattices) ).

fof(dt_l3_lattices,axiom,
    ! [X1] :
      ( l3_lattices(X1)
     => ( l1_lattices(X1)
        & l2_lattices(X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.ZhZeVIngKO/E---3.1_23666.p',dt_l3_lattices) ).

fof(dt_k18_filter_2,axiom,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & m1_subset_1(X2,u1_struct_0(X1)) )
     => m2_filter_2(k18_filter_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/tmp.ZhZeVIngKO/E---3.1_23666.p',dt_k18_filter_2) ).

fof(t21_filter_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m2_filter_2(X2,X1)
        <=> m1_filter_2(X2,k1_lattice2(X1)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.ZhZeVIngKO/E---3.1_23666.p',t21_filter_2) ).

fof(fc6_lattice2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ( ~ v3_struct_0(k1_lattice2(X1))
        & v3_lattices(k1_lattice2(X1))
        & v4_lattices(k1_lattice2(X1))
        & v5_lattices(k1_lattice2(X1))
        & v6_lattices(k1_lattice2(X1))
        & v7_lattices(k1_lattice2(X1))
        & v8_lattices(k1_lattice2(X1))
        & v9_lattices(k1_lattice2(X1))
        & v10_lattices(k1_lattice2(X1)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.ZhZeVIngKO/E---3.1_23666.p',fc6_lattice2) ).

fof(fc1_lattice2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l3_lattices(X1) )
     => ( ~ v3_struct_0(k1_lattice2(X1))
        & v3_lattices(k1_lattice2(X1)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.ZhZeVIngKO/E---3.1_23666.p',fc1_lattice2) ).

fof(t32_filter_0,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_filter_0(X2,X1)
         => ( ( ~ v3_struct_0(X1)
              & v10_lattices(X1)
              & v13_lattices(X1)
              & l3_lattices(X1)
              & r2_hidden(k5_lattices(X1),X2) )
           => ( X2 = k1_filter_0(X1)
              & X2 = u1_struct_0(X1) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.ZhZeVIngKO/E---3.1_23666.p',t32_filter_0) ).

fof(redefinition_m1_filter_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_filter_2(X2,X1)
        <=> m1_filter_0(X2,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.ZhZeVIngKO/E---3.1_23666.p',redefinition_m1_filter_2) ).

fof(dt_k1_lattice2,axiom,
    ! [X1] :
      ( l3_lattices(X1)
     => ( v3_lattices(k1_lattice2(X1))
        & l3_lattices(k1_lattice2(X1)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.ZhZeVIngKO/E---3.1_23666.p',dt_k1_lattice2) ).

fof(t18_lattice2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l3_lattices(X1) )
     => ( u1_struct_0(X1) = u1_struct_0(k1_lattice2(X1))
        & u2_lattices(X1) = u1_lattices(k1_lattice2(X1))
        & u1_lattices(X1) = u2_lattices(k1_lattice2(X1)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.ZhZeVIngKO/E---3.1_23666.p',t18_lattice2) ).

fof(t64_lattice2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ( v14_lattices(X1)
      <=> v13_lattices(k1_lattice2(X1)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.ZhZeVIngKO/E---3.1_23666.p',t64_lattice2) ).

fof(t79_lattice2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & v14_lattices(X1)
        & l3_lattices(X1) )
     => k6_lattices(X1) = k5_lattices(k1_lattice2(X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.ZhZeVIngKO/E---3.1_23666.p',t79_lattice2) ).

fof(t45_lattices,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & v14_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,u1_struct_0(X1))
         => r3_lattices(X1,X2,k6_lattices(X1)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.ZhZeVIngKO/E---3.1_23666.p',t45_lattices) ).

fof(dt_m2_filter_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m2_filter_2(X2,X1)
         => ( ~ v1_xboole_0(X2)
            & m2_lattice4(X2,X1) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.ZhZeVIngKO/E---3.1_23666.p',dt_m2_filter_2) ).

fof(d8_filter_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => k17_filter_2(X1) = u1_struct_0(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.ZhZeVIngKO/E---3.1_23666.p',d8_filter_2) ).

fof(t29_filter_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,u1_struct_0(X1))
         => ! [X3] :
              ( m1_subset_1(X3,u1_struct_0(X1))
             => ( r2_hidden(X2,k18_filter_2(X1,X3))
              <=> r3_lattices(X1,X2,X3) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.ZhZeVIngKO/E---3.1_23666.p',t29_filter_2) ).

fof(redefinition_r1_filter_2,axiom,
    ! [X1,X2,X3] :
      ( ( ~ v1_xboole_0(X1)
        & m1_subset_1(X2,k1_zfmisc_1(X1))
        & m1_subset_1(X3,k1_zfmisc_1(X1)) )
     => ( r1_filter_2(X1,X2,X3)
      <=> X2 = X3 ) ),
    file('/export/starexec/sandbox/tmp/tmp.ZhZeVIngKO/E---3.1_23666.p',redefinition_r1_filter_2) ).

fof(dt_m2_lattice4,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m2_lattice4(X2,X1)
         => m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
    file('/export/starexec/sandbox/tmp/tmp.ZhZeVIngKO/E---3.1_23666.p',dt_m2_lattice4) ).

fof(fc1_struct_0,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l1_struct_0(X1) )
     => ~ v1_xboole_0(u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.ZhZeVIngKO/E---3.1_23666.p',fc1_struct_0) ).

fof(dt_l1_lattices,axiom,
    ! [X1] :
      ( l1_lattices(X1)
     => l1_struct_0(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.ZhZeVIngKO/E---3.1_23666.p',dt_l1_lattices) ).

fof(c_0_21,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & v10_lattices(X1)
          & l3_lattices(X1) )
       => ( v14_lattices(X1)
         => r1_filter_2(u1_struct_0(X1),k17_filter_2(X1),k18_filter_2(X1,k6_lattices(X1))) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t32_filter_2])]) ).

fof(c_0_22,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l2_lattices(X1) )
     => m1_subset_1(k6_lattices(X1),u1_struct_0(X1)) ),
    inference(fof_simplification,[status(thm)],[dt_k6_lattices]) ).

fof(c_0_23,plain,
    ! [X1072] :
      ( ( l1_lattices(X1072)
        | ~ l3_lattices(X1072) )
      & ( l2_lattices(X1072)
        | ~ l3_lattices(X1072) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])]) ).

fof(c_0_24,negated_conjecture,
    ( ~ v3_struct_0(esk1_0)
    & v10_lattices(esk1_0)
    & l3_lattices(esk1_0)
    & v14_lattices(esk1_0)
    & ~ r1_filter_2(u1_struct_0(esk1_0),k17_filter_2(esk1_0),k18_filter_2(esk1_0,k6_lattices(esk1_0))) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).

fof(c_0_25,plain,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & m1_subset_1(X2,u1_struct_0(X1)) )
     => m2_filter_2(k18_filter_2(X1,X2),X1) ),
    inference(fof_simplification,[status(thm)],[dt_k18_filter_2]) ).

fof(c_0_26,plain,
    ! [X53] :
      ( v3_struct_0(X53)
      | ~ l2_lattices(X53)
      | m1_subset_1(k6_lattices(X53),u1_struct_0(X53)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])]) ).

cnf(c_0_27,plain,
    ( l2_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_28,negated_conjecture,
    l3_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

fof(c_0_29,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m2_filter_2(X2,X1)
        <=> m1_filter_2(X2,k1_lattice2(X1)) ) ),
    inference(fof_simplification,[status(thm)],[t21_filter_2]) ).

fof(c_0_30,plain,
    ! [X29,X30] :
      ( v3_struct_0(X29)
      | ~ v10_lattices(X29)
      | ~ l3_lattices(X29)
      | ~ m1_subset_1(X30,u1_struct_0(X29))
      | m2_filter_2(k18_filter_2(X29,X30),X29) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])]) ).

cnf(c_0_31,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k6_lattices(X1),u1_struct_0(X1))
    | ~ l2_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_32,negated_conjecture,
    l2_lattices(esk1_0),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_33,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

fof(c_0_34,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ( ~ v3_struct_0(k1_lattice2(X1))
        & v3_lattices(k1_lattice2(X1))
        & v4_lattices(k1_lattice2(X1))
        & v5_lattices(k1_lattice2(X1))
        & v6_lattices(k1_lattice2(X1))
        & v7_lattices(k1_lattice2(X1))
        & v8_lattices(k1_lattice2(X1))
        & v9_lattices(k1_lattice2(X1))
        & v10_lattices(k1_lattice2(X1)) ) ),
    inference(fof_simplification,[status(thm)],[fc6_lattice2]) ).

fof(c_0_35,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l3_lattices(X1) )
     => ( ~ v3_struct_0(k1_lattice2(X1))
        & v3_lattices(k1_lattice2(X1)) ) ),
    inference(fof_simplification,[status(thm)],[fc1_lattice2]) ).

fof(c_0_36,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_filter_0(X2,X1)
         => ( ( ~ v3_struct_0(X1)
              & v10_lattices(X1)
              & v13_lattices(X1)
              & l3_lattices(X1)
              & r2_hidden(k5_lattices(X1),X2) )
           => ( X2 = k1_filter_0(X1)
              & X2 = u1_struct_0(X1) ) ) ) ),
    inference(fof_simplification,[status(thm)],[t32_filter_0]) ).

fof(c_0_37,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_filter_2(X2,X1)
        <=> m1_filter_0(X2,X1) ) ),
    inference(fof_simplification,[status(thm)],[redefinition_m1_filter_2]) ).

fof(c_0_38,plain,
    ! [X676,X677] :
      ( ( ~ m2_filter_2(X677,X676)
        | m1_filter_2(X677,k1_lattice2(X676))
        | v3_struct_0(X676)
        | ~ v10_lattices(X676)
        | ~ l3_lattices(X676) )
      & ( ~ m1_filter_2(X677,k1_lattice2(X676))
        | m2_filter_2(X677,X676)
        | v3_struct_0(X676)
        | ~ v10_lattices(X676)
        | ~ l3_lattices(X676) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])]) ).

cnf(c_0_39,plain,
    ( v3_struct_0(X1)
    | m2_filter_2(k18_filter_2(X1,X2),X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_40,negated_conjecture,
    m1_subset_1(k6_lattices(esk1_0),u1_struct_0(esk1_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).

cnf(c_0_41,negated_conjecture,
    v10_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

fof(c_0_42,plain,
    ! [X878] :
      ( ( ~ v3_struct_0(k1_lattice2(X878))
        | v3_struct_0(X878)
        | ~ v10_lattices(X878)
        | ~ l3_lattices(X878) )
      & ( v3_lattices(k1_lattice2(X878))
        | v3_struct_0(X878)
        | ~ v10_lattices(X878)
        | ~ l3_lattices(X878) )
      & ( v4_lattices(k1_lattice2(X878))
        | v3_struct_0(X878)
        | ~ v10_lattices(X878)
        | ~ l3_lattices(X878) )
      & ( v5_lattices(k1_lattice2(X878))
        | v3_struct_0(X878)
        | ~ v10_lattices(X878)
        | ~ l3_lattices(X878) )
      & ( v6_lattices(k1_lattice2(X878))
        | v3_struct_0(X878)
        | ~ v10_lattices(X878)
        | ~ l3_lattices(X878) )
      & ( v7_lattices(k1_lattice2(X878))
        | v3_struct_0(X878)
        | ~ v10_lattices(X878)
        | ~ l3_lattices(X878) )
      & ( v8_lattices(k1_lattice2(X878))
        | v3_struct_0(X878)
        | ~ v10_lattices(X878)
        | ~ l3_lattices(X878) )
      & ( v9_lattices(k1_lattice2(X878))
        | v3_struct_0(X878)
        | ~ v10_lattices(X878)
        | ~ l3_lattices(X878) )
      & ( v10_lattices(k1_lattice2(X878))
        | v3_struct_0(X878)
        | ~ v10_lattices(X878)
        | ~ l3_lattices(X878) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])]) ).

fof(c_0_43,plain,
    ! [X893] :
      ( ( v3_lattices(k1_lattice2(X893))
        | ~ l3_lattices(X893) )
      & ( l3_lattices(k1_lattice2(X893))
        | ~ l3_lattices(X893) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).

fof(c_0_44,plain,
    ! [X877] :
      ( ( ~ v3_struct_0(k1_lattice2(X877))
        | v3_struct_0(X877)
        | ~ l3_lattices(X877) )
      & ( v3_lattices(k1_lattice2(X877))
        | v3_struct_0(X877)
        | ~ l3_lattices(X877) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])]) ).

fof(c_0_45,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l3_lattices(X1) )
     => ( u1_struct_0(X1) = u1_struct_0(k1_lattice2(X1))
        & u2_lattices(X1) = u1_lattices(k1_lattice2(X1))
        & u1_lattices(X1) = u2_lattices(k1_lattice2(X1)) ) ),
    inference(fof_simplification,[status(thm)],[t18_lattice2]) ).

fof(c_0_46,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ( v14_lattices(X1)
      <=> v13_lattices(k1_lattice2(X1)) ) ),
    inference(fof_simplification,[status(thm)],[t64_lattice2]) ).

fof(c_0_47,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & v14_lattices(X1)
        & l3_lattices(X1) )
     => k6_lattices(X1) = k5_lattices(k1_lattice2(X1)) ),
    inference(fof_simplification,[status(thm)],[t79_lattice2]) ).

fof(c_0_48,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & v14_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,u1_struct_0(X1))
         => r3_lattices(X1,X2,k6_lattices(X1)) ) ),
    inference(fof_simplification,[status(thm)],[t45_lattices]) ).

fof(c_0_49,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m2_filter_2(X2,X1)
         => ( ~ v1_xboole_0(X2)
            & m2_lattice4(X2,X1) ) ) ),
    inference(fof_simplification,[status(thm)],[dt_m2_filter_2]) ).

fof(c_0_50,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => k17_filter_2(X1) = u1_struct_0(X1) ),
    inference(fof_simplification,[status(thm)],[d8_filter_2]) ).

fof(c_0_51,plain,
    ! [X1451,X1452] :
      ( ( X1452 = k1_filter_0(X1451)
        | v3_struct_0(X1451)
        | ~ v10_lattices(X1451)
        | ~ v13_lattices(X1451)
        | ~ l3_lattices(X1451)
        | ~ r2_hidden(k5_lattices(X1451),X1452)
        | ~ m1_filter_0(X1452,X1451)
        | v3_struct_0(X1451)
        | ~ v10_lattices(X1451)
        | ~ l3_lattices(X1451) )
      & ( X1452 = u1_struct_0(X1451)
        | v3_struct_0(X1451)
        | ~ v10_lattices(X1451)
        | ~ v13_lattices(X1451)
        | ~ l3_lattices(X1451)
        | ~ r2_hidden(k5_lattices(X1451),X1452)
        | ~ m1_filter_0(X1452,X1451)
        | v3_struct_0(X1451)
        | ~ v10_lattices(X1451)
        | ~ l3_lattices(X1451) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])]) ).

fof(c_0_52,plain,
    ! [X3563,X3564] :
      ( ( ~ m1_filter_2(X3564,X3563)
        | m1_filter_0(X3564,X3563)
        | v3_struct_0(X3563)
        | ~ v10_lattices(X3563)
        | ~ l3_lattices(X3563) )
      & ( ~ m1_filter_0(X3564,X3563)
        | m1_filter_2(X3564,X3563)
        | v3_struct_0(X3563)
        | ~ v10_lattices(X3563)
        | ~ l3_lattices(X3563) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])]) ).

cnf(c_0_53,plain,
    ( m1_filter_2(X1,k1_lattice2(X2))
    | v3_struct_0(X2)
    | ~ m2_filter_2(X1,X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_54,negated_conjecture,
    m2_filter_2(k18_filter_2(esk1_0,k6_lattices(esk1_0)),esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_28])]),c_0_33]) ).

cnf(c_0_55,plain,
    ( v10_lattices(k1_lattice2(X1))
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_56,plain,
    ( l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_57,plain,
    ( v3_struct_0(X1)
    | ~ v3_struct_0(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

fof(c_0_58,plain,
    ! [X880] :
      ( ( u1_struct_0(X880) = u1_struct_0(k1_lattice2(X880))
        | v3_struct_0(X880)
        | ~ l3_lattices(X880) )
      & ( u2_lattices(X880) = u1_lattices(k1_lattice2(X880))
        | v3_struct_0(X880)
        | ~ l3_lattices(X880) )
      & ( u1_lattices(X880) = u2_lattices(k1_lattice2(X880))
        | v3_struct_0(X880)
        | ~ l3_lattices(X880) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])]) ).

fof(c_0_59,plain,
    ! [X108] :
      ( ( ~ v14_lattices(X108)
        | v13_lattices(k1_lattice2(X108))
        | v3_struct_0(X108)
        | ~ v10_lattices(X108)
        | ~ l3_lattices(X108) )
      & ( ~ v13_lattices(k1_lattice2(X108))
        | v14_lattices(X108)
        | v3_struct_0(X108)
        | ~ v10_lattices(X108)
        | ~ l3_lattices(X108) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])]) ).

fof(c_0_60,plain,
    ! [X70] :
      ( v3_struct_0(X70)
      | ~ v10_lattices(X70)
      | ~ v14_lattices(X70)
      | ~ l3_lattices(X70)
      | k6_lattices(X70) = k5_lattices(k1_lattice2(X70)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])]) ).

fof(c_0_61,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,u1_struct_0(X1))
         => ! [X3] :
              ( m1_subset_1(X3,u1_struct_0(X1))
             => ( r2_hidden(X2,k18_filter_2(X1,X3))
              <=> r3_lattices(X1,X2,X3) ) ) ) ),
    inference(fof_simplification,[status(thm)],[t29_filter_2]) ).

fof(c_0_62,plain,
    ! [X49,X50] :
      ( v3_struct_0(X49)
      | ~ v10_lattices(X49)
      | ~ v14_lattices(X49)
      | ~ l3_lattices(X49)
      | ~ m1_subset_1(X50,u1_struct_0(X49))
      | r3_lattices(X49,X50,k6_lattices(X49)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])]) ).

fof(c_0_63,plain,
    ! [X1,X2,X3] :
      ( ( ~ v1_xboole_0(X1)
        & m1_subset_1(X2,k1_zfmisc_1(X1))
        & m1_subset_1(X3,k1_zfmisc_1(X1)) )
     => ( r1_filter_2(X1,X2,X3)
      <=> X2 = X3 ) ),
    inference(fof_simplification,[status(thm)],[redefinition_r1_filter_2]) ).

fof(c_0_64,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m2_lattice4(X2,X1)
         => m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
    inference(fof_simplification,[status(thm)],[dt_m2_lattice4]) ).

fof(c_0_65,plain,
    ! [X659,X660] :
      ( ( ~ v1_xboole_0(X660)
        | ~ m2_filter_2(X660,X659)
        | v3_struct_0(X659)
        | ~ v10_lattices(X659)
        | ~ l3_lattices(X659) )
      & ( m2_lattice4(X660,X659)
        | ~ m2_filter_2(X660,X659)
        | v3_struct_0(X659)
        | ~ v10_lattices(X659)
        | ~ l3_lattices(X659) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])])]) ).

fof(c_0_66,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l1_struct_0(X1) )
     => ~ v1_xboole_0(u1_struct_0(X1)) ),
    inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).

fof(c_0_67,plain,
    ! [X3582] :
      ( ~ l1_lattices(X3582)
      | l1_struct_0(X3582) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_lattices])]) ).

cnf(c_0_68,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

fof(c_0_69,plain,
    ! [X83] :
      ( v3_struct_0(X83)
      | ~ v10_lattices(X83)
      | ~ l3_lattices(X83)
      | k17_filter_2(X83) = u1_struct_0(X83) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])]) ).

cnf(c_0_70,plain,
    ( X1 = u1_struct_0(X2)
    | v3_struct_0(X2)
    | v3_struct_0(X2)
    | ~ v10_lattices(X2)
    | ~ v13_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ r2_hidden(k5_lattices(X2),X1)
    | ~ m1_filter_0(X1,X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_71,plain,
    ( m1_filter_0(X1,X2)
    | v3_struct_0(X2)
    | ~ m1_filter_2(X1,X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_72,negated_conjecture,
    m1_filter_2(k18_filter_2(esk1_0,k6_lattices(esk1_0)),k1_lattice2(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_41]),c_0_28])]),c_0_33]) ).

cnf(c_0_73,negated_conjecture,
    v10_lattices(k1_lattice2(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_28]),c_0_41])]),c_0_33]) ).

cnf(c_0_74,negated_conjecture,
    l3_lattices(k1_lattice2(esk1_0)),
    inference(spm,[status(thm)],[c_0_56,c_0_28]) ).

cnf(c_0_75,negated_conjecture,
    ~ v3_struct_0(k1_lattice2(esk1_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_28]),c_0_33]) ).

cnf(c_0_76,plain,
    ( u1_struct_0(X1) = u1_struct_0(k1_lattice2(X1))
    | v3_struct_0(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_77,plain,
    ( v13_lattices(k1_lattice2(X1))
    | v3_struct_0(X1)
    | ~ v14_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_78,negated_conjecture,
    v14_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_79,plain,
    ( v3_struct_0(X1)
    | k6_lattices(X1) = k5_lattices(k1_lattice2(X1))
    | ~ v10_lattices(X1)
    | ~ v14_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

fof(c_0_80,plain,
    ! [X33,X34,X35] :
      ( ( ~ r2_hidden(X34,k18_filter_2(X33,X35))
        | r3_lattices(X33,X34,X35)
        | ~ m1_subset_1(X35,u1_struct_0(X33))
        | ~ m1_subset_1(X34,u1_struct_0(X33))
        | v3_struct_0(X33)
        | ~ v10_lattices(X33)
        | ~ l3_lattices(X33) )
      & ( ~ r3_lattices(X33,X34,X35)
        | r2_hidden(X34,k18_filter_2(X33,X35))
        | ~ m1_subset_1(X35,u1_struct_0(X33))
        | ~ m1_subset_1(X34,u1_struct_0(X33))
        | v3_struct_0(X33)
        | ~ v10_lattices(X33)
        | ~ l3_lattices(X33) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])])]) ).

cnf(c_0_81,plain,
    ( v3_struct_0(X1)
    | r3_lattices(X1,X2,k6_lattices(X1))
    | ~ v10_lattices(X1)
    | ~ v14_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

fof(c_0_82,plain,
    ! [X21,X22,X23] :
      ( ( ~ r1_filter_2(X21,X22,X23)
        | X22 = X23
        | v1_xboole_0(X21)
        | ~ m1_subset_1(X22,k1_zfmisc_1(X21))
        | ~ m1_subset_1(X23,k1_zfmisc_1(X21)) )
      & ( X22 != X23
        | r1_filter_2(X21,X22,X23)
        | v1_xboole_0(X21)
        | ~ m1_subset_1(X22,k1_zfmisc_1(X21))
        | ~ m1_subset_1(X23,k1_zfmisc_1(X21)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])]) ).

fof(c_0_83,plain,
    ! [X1834,X1835] :
      ( v3_struct_0(X1834)
      | ~ v10_lattices(X1834)
      | ~ l3_lattices(X1834)
      | ~ m2_lattice4(X1835,X1834)
      | m1_subset_1(X1835,k1_zfmisc_1(u1_struct_0(X1834))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])]) ).

cnf(c_0_84,plain,
    ( m2_lattice4(X1,X2)
    | v3_struct_0(X2)
    | ~ m2_filter_2(X1,X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

fof(c_0_85,plain,
    ! [X3664] :
      ( v3_struct_0(X3664)
      | ~ l1_struct_0(X3664)
      | ~ v1_xboole_0(u1_struct_0(X3664)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])]) ).

cnf(c_0_86,plain,
    ( l1_struct_0(X1)
    | ~ l1_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_87,negated_conjecture,
    l1_lattices(esk1_0),
    inference(spm,[status(thm)],[c_0_68,c_0_28]) ).

cnf(c_0_88,plain,
    ( v3_struct_0(X1)
    | k17_filter_2(X1) = u1_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_89,plain,
    ( X1 = u1_struct_0(X2)
    | v3_struct_0(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ v13_lattices(X2)
    | ~ m1_filter_0(X1,X2)
    | ~ r2_hidden(k5_lattices(X2),X1) ),
    inference(cn,[status(thm)],[c_0_70]) ).

cnf(c_0_90,negated_conjecture,
    m1_filter_0(k18_filter_2(esk1_0,k6_lattices(esk1_0)),k1_lattice2(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]),c_0_74])]),c_0_75]) ).

cnf(c_0_91,negated_conjecture,
    u1_struct_0(k1_lattice2(esk1_0)) = u1_struct_0(esk1_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_28]),c_0_33]) ).

cnf(c_0_92,negated_conjecture,
    v13_lattices(k1_lattice2(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_28]),c_0_78]),c_0_41])]),c_0_33]) ).

cnf(c_0_93,negated_conjecture,
    k5_lattices(k1_lattice2(esk1_0)) = k6_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_79,c_0_28]),c_0_78]),c_0_41])]),c_0_33]) ).

cnf(c_0_94,plain,
    ( r2_hidden(X2,k18_filter_2(X1,X3))
    | v3_struct_0(X1)
    | ~ r3_lattices(X1,X2,X3)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_95,negated_conjecture,
    r3_lattices(esk1_0,k6_lattices(esk1_0),k6_lattices(esk1_0)),
    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_81,c_0_40]),c_0_78]),c_0_41]),c_0_28])]),c_0_33]) ).

cnf(c_0_96,plain,
    ( r1_filter_2(X3,X1,X2)
    | v1_xboole_0(X3)
    | X1 != X2
    | ~ m1_subset_1(X1,k1_zfmisc_1(X3))
    | ~ m1_subset_1(X2,k1_zfmisc_1(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

cnf(c_0_97,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_lattice4(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_98,negated_conjecture,
    m2_lattice4(k18_filter_2(esk1_0,k6_lattices(esk1_0)),esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_54]),c_0_41]),c_0_28])]),c_0_33]) ).

cnf(c_0_99,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_85]) ).

cnf(c_0_100,negated_conjecture,
    l1_struct_0(esk1_0),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_101,negated_conjecture,
    ~ r1_filter_2(u1_struct_0(esk1_0),k17_filter_2(esk1_0),k18_filter_2(esk1_0,k6_lattices(esk1_0))),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_102,negated_conjecture,
    k17_filter_2(esk1_0) = u1_struct_0(esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_28]),c_0_41])]),c_0_33]) ).

cnf(c_0_103,negated_conjecture,
    ( k18_filter_2(esk1_0,k6_lattices(esk1_0)) = u1_struct_0(esk1_0)
    | ~ r2_hidden(k6_lattices(esk1_0),k18_filter_2(esk1_0,k6_lattices(esk1_0))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]),c_0_92]),c_0_73]),c_0_74]),c_0_93])]),c_0_75]) ).

cnf(c_0_104,negated_conjecture,
    r2_hidden(k6_lattices(esk1_0),k18_filter_2(esk1_0,k6_lattices(esk1_0))),
    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_94,c_0_95]),c_0_41]),c_0_28]),c_0_40])]),c_0_33]) ).

cnf(c_0_105,plain,
    ( r1_filter_2(X1,X2,X2)
    | v1_xboole_0(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
    inference(er,[status(thm)],[c_0_96]) ).

cnf(c_0_106,negated_conjecture,
    m1_subset_1(k18_filter_2(esk1_0,k6_lattices(esk1_0)),k1_zfmisc_1(u1_struct_0(esk1_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_41]),c_0_28])]),c_0_33]) ).

cnf(c_0_107,negated_conjecture,
    ~ v1_xboole_0(u1_struct_0(esk1_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_33]) ).

cnf(c_0_108,negated_conjecture,
    ~ r1_filter_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k18_filter_2(esk1_0,k6_lattices(esk1_0))),
    inference(rw,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_109,negated_conjecture,
    k18_filter_2(esk1_0,k6_lattices(esk1_0)) = u1_struct_0(esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_104])]) ).

cnf(c_0_110,negated_conjecture,
    r1_filter_2(u1_struct_0(esk1_0),k18_filter_2(esk1_0,k6_lattices(esk1_0)),k18_filter_2(esk1_0,k6_lattices(esk1_0))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107]) ).

cnf(c_0_111,negated_conjecture,
    ~ r1_filter_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
    inference(rw,[status(thm)],[c_0_108,c_0_109]) ).

cnf(c_0_112,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_109]),c_0_109]),c_0_111]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem    : LAT306+2 : TPTP v8.1.2. Released v3.4.0.
% 0.05/0.10  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n006.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 2400
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Mon Oct  2 10:50:40 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.15/0.62  Running first-order model finding
% 0.15/0.62  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.ZhZeVIngKO/E---3.1_23666.p
% 491.52/63.58  # Version: 3.1pre001
% 491.52/63.58  # Preprocessing class: FMLMSMSLSSSNFFN.
% 491.52/63.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 491.52/63.58  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 491.52/63.58  # Starting new_bool_3 with 600s (2) cores
% 491.52/63.58  # Starting new_bool_1 with 600s (2) cores
% 491.52/63.58  # Starting sh5l with 300s (1) cores
% 491.52/63.58  # sh5l with pid 23746 completed with status 0
% 491.52/63.58  # Result found by sh5l
% 491.52/63.58  # Preprocessing class: FMLMSMSLSSSNFFN.
% 491.52/63.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 491.52/63.58  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 491.52/63.58  # Starting new_bool_3 with 600s (2) cores
% 491.52/63.58  # Starting new_bool_1 with 600s (2) cores
% 491.52/63.58  # Starting sh5l with 300s (1) cores
% 491.52/63.58  # SinE strategy is gf500_gu_R04_F100_L20000
% 491.52/63.58  # Search class: FGHSM-SMLM32-MFFFFFNN
% 491.52/63.58  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 491.52/63.58  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 23s (1) cores
% 491.52/63.58  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 23751 completed with status 7
% 491.52/63.58  # Starting sh5l with 31s (1) cores
% 491.52/63.58  # sh5l with pid 23758 completed with status 7
% 491.52/63.58  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 23s (1) cores
% 491.52/63.58  # G-E--_208_C18_F1_SE_CS_SP_PS_S2g with pid 23765 completed with status 0
% 491.52/63.58  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2g
% 491.52/63.58  # Preprocessing class: FMLMSMSLSSSNFFN.
% 491.52/63.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 491.52/63.58  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 491.52/63.58  # Starting new_bool_3 with 600s (2) cores
% 491.52/63.58  # Starting new_bool_1 with 600s (2) cores
% 491.52/63.58  # Starting sh5l with 300s (1) cores
% 491.52/63.58  # SinE strategy is gf500_gu_R04_F100_L20000
% 491.52/63.58  # Search class: FGHSM-SMLM32-MFFFFFNN
% 491.52/63.58  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 491.52/63.58  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 23s (1) cores
% 491.52/63.58  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 23751 completed with status 7
% 491.52/63.58  # Starting sh5l with 31s (1) cores
% 491.52/63.58  # sh5l with pid 23758 completed with status 7
% 491.52/63.58  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 23s (1) cores
% 491.52/63.58  # Preprocessing time       : 0.076 s
% 491.52/63.58  # Presaturation interreduction done
% 491.52/63.58  
% 491.52/63.58  # Proof found!
% 491.52/63.58  # SZS status Theorem
% 491.52/63.58  # SZS output start CNFRefutation
% See solution above
% 491.52/63.58  # Parsed axioms                        : 2959
% 491.52/63.58  # Removed by relevancy pruning/SinE    : 1039
% 491.52/63.58  # Initial clauses                      : 4075
% 491.52/63.58  # Removed in clause preprocessing      : 91
% 491.52/63.58  # Initial clauses in saturation        : 3984
% 491.52/63.58  # Processed clauses                    : 22200
% 491.52/63.58  # ...of these trivial                  : 651
% 491.52/63.58  # ...subsumed                          : 7628
% 491.52/63.58  # ...remaining for further processing  : 13920
% 491.52/63.58  # Other redundant clauses eliminated   : 664
% 491.52/63.58  # Clauses deleted for lack of memory   : 0
% 491.52/63.58  # Backward-subsumed                    : 43
% 491.52/63.58  # Backward-rewritten                   : 646
% 491.52/63.58  # Generated clauses                    : 119062
% 491.52/63.58  # ...of the previous two non-redundant : 113753
% 491.52/63.58  # ...aggressively subsumed             : 0
% 491.52/63.58  # Contextual simplify-reflections      : 231
% 491.52/63.58  # Paramodulations                      : 118473
% 491.52/63.58  # Factorizations                       : 3
% 491.52/63.58  # NegExts                              : 0
% 491.52/63.58  # Equation resolutions                 : 686
% 491.52/63.58  # Total rewrite steps                  : 44602
% 491.52/63.58  # Propositional unsat checks           : 0
% 491.52/63.58  #    Propositional check models        : 0
% 491.52/63.58  #    Propositional check unsatisfiable : 0
% 491.52/63.58  #    Propositional clauses             : 0
% 491.52/63.58  #    Propositional clauses after purity: 0
% 491.52/63.58  #    Propositional unsat core size     : 0
% 491.52/63.58  #    Propositional preprocessing time  : 0.000
% 491.52/63.58  #    Propositional encoding time       : 0.000
% 491.52/63.58  #    Propositional solver time         : 0.000
% 491.52/63.58  #    Success case prop preproc time    : 0.000
% 491.52/63.58  #    Success case prop encoding time   : 0.000
% 491.52/63.58  #    Success case prop solver time     : 0.000
% 491.52/63.58  # Current number of processed clauses  : 9128
% 491.52/63.58  #    Positive orientable unit clauses  : 3344
% 491.52/63.58  #    Positive unorientable unit clauses: 31
% 491.52/63.58  #    Negative unit clauses             : 2679
% 491.52/63.58  #    Non-unit-clauses                  : 3074
% 491.52/63.58  # Current number of unprocessed clauses: 98815
% 491.52/63.58  # ...number of literals in the above   : 208095
% 491.52/63.58  # Current number of archived formulas  : 0
% 491.52/63.58  # Current number of archived clauses   : 4319
% 491.52/63.58  # Clause-clause subsumption calls (NU) : 5797051
% 491.52/63.58  # Rec. Clause-clause subsumption calls : 1015770
% 491.52/63.58  # Non-unit clause-clause subsumptions  : 700
% 491.52/63.58  # Unit Clause-clause subsumption calls : 1437813
% 491.52/63.58  # Rewrite failures with RHS unbound    : 0
% 491.52/63.58  # BW rewrite match attempts            : 5554
% 491.52/63.58  # BW rewrite match successes           : 1827
% 491.52/63.58  # Condensation attempts                : 0
% 491.52/63.58  # Condensation successes               : 0
% 491.52/63.58  # Termbank termtop insertions          : 2004674
% 491.52/63.58  
% 491.52/63.58  # -------------------------------------------------
% 491.52/63.58  # User time                : 60.756 s
% 491.52/63.58  # System time              : 0.567 s
% 491.52/63.58  # Total time               : 61.323 s
% 491.52/63.58  # Maximum resident set size: 19420 pages
% 491.52/63.58  
% 491.52/63.58  # -------------------------------------------------
% 491.52/63.58  # User time                : 60.835 s
% 491.52/63.58  # System time              : 0.571 s
% 491.52/63.58  # Total time               : 61.406 s
% 491.52/63.58  # Maximum resident set size: 5144 pages
% 491.52/63.58  % E---3.1 exiting
%------------------------------------------------------------------------------