TSTP Solution File: LAT312+1 by E---3.1

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%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : LAT312+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n027.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 18:08:32 EDT 2023

% Result   : Theorem 5.35s 1.18s
% Output   : CNFRefutation 5.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   27
% Syntax   : Number of formulae    :  153 (  33 unt;   0 def)
%            Number of atoms       :  671 (  88 equ)
%            Maximal formula atoms :   36 (   4 avg)
%            Number of connectives :  786 ( 268   ~; 283   |; 157   &)
%                                         (   2 <=>;  76  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   21 (  19 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;   3 con; 0-2 aty)
%            Number of variables   :  209 (   1 sgn; 144   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t2_subset,axiom,
    ! [X1,X2] :
      ( m1_subset_1(X1,X2)
     => ( v1_xboole_0(X2)
        | r2_hidden(X1,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.pfs6q9OTCq/E---3.1_31489.p',t2_subset) ).

fof(existence_m1_subset_1,axiom,
    ! [X1] :
    ? [X2] : m1_subset_1(X2,X1),
    file('/export/starexec/sandbox/tmp/tmp.pfs6q9OTCq/E---3.1_31489.p',existence_m1_subset_1) ).

fof(t5_subset,axiom,
    ! [X1,X2,X3] :
      ~ ( r2_hidden(X1,X2)
        & m1_subset_1(X2,k1_zfmisc_1(X3))
        & v1_xboole_0(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.pfs6q9OTCq/E---3.1_31489.p',t5_subset) ).

fof(t41_filter_2,conjecture,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,u1_struct_0(X1))
         => ! [X3] :
              ( ( ~ v1_xboole_0(X3)
                & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
             => ( r1_filter_2(u1_struct_0(X1),X3,k6_domain_1(u1_struct_0(X1),X2))
               => r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X3),k18_filter_2(X1,X2)) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.pfs6q9OTCq/E---3.1_31489.p',t41_filter_2) ).

fof(redefinition_k6_domain_1,axiom,
    ! [X1,X2] :
      ( ( ~ v1_xboole_0(X1)
        & m1_subset_1(X2,X1) )
     => k6_domain_1(X1,X2) = k1_tarski(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.pfs6q9OTCq/E---3.1_31489.p',redefinition_k6_domain_1) ).

fof(d4_filter_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,u1_struct_0(X1))
         => k5_filter_2(X1,X2) = X2 ) ),
    file('/export/starexec/sandbox/tmp/tmp.pfs6q9OTCq/E---3.1_31489.p',d4_filter_2) ).

fof(dt_k6_domain_1,axiom,
    ! [X1,X2] :
      ( ( ~ v1_xboole_0(X1)
        & m1_subset_1(X2,X1) )
     => m1_subset_1(k6_domain_1(X1,X2),k1_zfmisc_1(X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.pfs6q9OTCq/E---3.1_31489.p',dt_k6_domain_1) ).

fof(d6_filter_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => k7_filter_2(X1,X2) = X2 ) ),
    file('/export/starexec/sandbox/tmp/tmp.pfs6q9OTCq/E---3.1_31489.p',d6_filter_2) ).

fof(dt_k5_filter_2,axiom,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & m1_subset_1(X2,u1_struct_0(X1)) )
     => m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1))) ),
    file('/export/starexec/sandbox/tmp/tmp.pfs6q9OTCq/E---3.1_31489.p',dt_k5_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.pfs6q9OTCq/E---3.1_31489.p',redefinition_r1_filter_2) ).

fof(dt_k7_filter_2,axiom,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
     => m1_subset_1(k7_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
    file('/export/starexec/sandbox/tmp/tmp.pfs6q9OTCq/E---3.1_31489.p',dt_k7_filter_2) ).

fof(d9_filter_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,u1_struct_0(X1))
         => k18_filter_2(X1,X2) = a_2_0_filter_2(X1,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.pfs6q9OTCq/E---3.1_31489.p',d9_filter_2) ).

fof(t30_filter_0,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,u1_struct_0(X1))
         => ! [X3] :
              ( ( ~ v1_xboole_0(X3)
                & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
             => ( X3 = k6_domain_1(u1_struct_0(X1),X2)
               => k3_filter_0(X1,X3) = k2_filter_0(X1,X2) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.pfs6q9OTCq/E---3.1_31489.p',t30_filter_0) ).

fof(t30_filter_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,u1_struct_0(X1))
         => ( k18_filter_2(X1,X2) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2))
            & k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2)) = k2_filter_2(X1,X2) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.pfs6q9OTCq/E---3.1_31489.p',t30_filter_2) ).

fof(redefinition_k3_filter_2,axiom,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & ~ v1_xboole_0(X2)
        & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
     => k3_filter_2(X1,X2) = k3_filter_0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.pfs6q9OTCq/E---3.1_31489.p',redefinition_k3_filter_2) ).

fof(redefinition_k2_filter_2,axiom,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & m1_subset_1(X2,u1_struct_0(X1)) )
     => k2_filter_2(X1,X2) = k2_filter_0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.pfs6q9OTCq/E---3.1_31489.p',redefinition_k2_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.pfs6q9OTCq/E---3.1_31489.p',fc6_lattice2) ).

fof(t37_filter_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( ( ~ v1_xboole_0(X2)
            & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
         => ! [X3] :
              ( ( ~ v1_xboole_0(X3)
                & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) )
             => ( k3_filter_2(k1_lattice2(X1),k7_filter_2(X1,X2)) = k19_filter_2(X1,X2)
                & k3_filter_2(X1,X2) = k19_filter_2(k1_lattice2(X1),k7_filter_2(X1,X2))
                & k3_filter_2(X1,k8_filter_2(X1,X3)) = k19_filter_2(k1_lattice2(X1),X3)
                & k3_filter_2(k1_lattice2(X1),X3) = k19_filter_2(X1,k8_filter_2(X1,X3)) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.pfs6q9OTCq/E---3.1_31489.p',t37_filter_2) ).

fof(rc5_struct_0,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l1_struct_0(X1) )
     => ? [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
          & ~ v1_xboole_0(X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.pfs6q9OTCq/E---3.1_31489.p',rc5_struct_0) ).

fof(d7_filter_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
         => k8_filter_2(X1,X2) = X2 ) ),
    file('/export/starexec/sandbox/tmp/tmp.pfs6q9OTCq/E---3.1_31489.p',d7_filter_2) ).

fof(dt_k19_filter_2,axiom,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & ~ v1_xboole_0(X2)
        & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
     => m2_filter_2(k19_filter_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/tmp.pfs6q9OTCq/E---3.1_31489.p',dt_k19_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.pfs6q9OTCq/E---3.1_31489.p',dt_k1_lattice2) ).

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.pfs6q9OTCq/E---3.1_31489.p',dt_m2_filter_2) ).

fof(dt_l1_lattices,axiom,
    ! [X1] :
      ( l1_lattices(X1)
     => l1_struct_0(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.pfs6q9OTCq/E---3.1_31489.p',dt_l1_lattices) ).

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.pfs6q9OTCq/E---3.1_31489.p',dt_m2_lattice4) ).

fof(dt_l3_lattices,axiom,
    ! [X1] :
      ( l3_lattices(X1)
     => ( l1_lattices(X1)
        & l2_lattices(X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.pfs6q9OTCq/E---3.1_31489.p',dt_l3_lattices) ).

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.pfs6q9OTCq/E---3.1_31489.p',fc1_lattice2) ).

fof(c_0_27,plain,
    ! [X48,X49] :
      ( ~ m1_subset_1(X48,X49)
      | v1_xboole_0(X49)
      | r2_hidden(X48,X49) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).

fof(c_0_28,plain,
    ! [X40] : m1_subset_1(esk4_1(X40),X40),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).

fof(c_0_29,plain,
    ! [X53,X54,X55] :
      ( ~ r2_hidden(X53,X54)
      | ~ m1_subset_1(X54,k1_zfmisc_1(X55))
      | ~ v1_xboole_0(X55) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).

cnf(c_0_30,plain,
    ( v1_xboole_0(X2)
    | r2_hidden(X1,X2)
    | ~ m1_subset_1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_31,plain,
    m1_subset_1(esk4_1(X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

fof(c_0_32,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & v10_lattices(X1)
          & l3_lattices(X1) )
       => ! [X2] :
            ( m1_subset_1(X2,u1_struct_0(X1))
           => ! [X3] :
                ( ( ~ v1_xboole_0(X3)
                  & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
               => ( r1_filter_2(u1_struct_0(X1),X3,k6_domain_1(u1_struct_0(X1),X2))
                 => r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X3),k18_filter_2(X1,X2)) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t41_filter_2])]) ).

fof(c_0_33,plain,
    ! [X1,X2] :
      ( ( ~ v1_xboole_0(X1)
        & m1_subset_1(X2,X1) )
     => k6_domain_1(X1,X2) = k1_tarski(X2) ),
    inference(fof_simplification,[status(thm)],[redefinition_k6_domain_1]) ).

cnf(c_0_34,plain,
    ( ~ r2_hidden(X1,X2)
    | ~ m1_subset_1(X2,k1_zfmisc_1(X3))
    | ~ v1_xboole_0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_35,plain,
    ( r2_hidden(esk4_1(X1),X1)
    | v1_xboole_0(X1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

fof(c_0_36,negated_conjecture,
    ( ~ v3_struct_0(esk1_0)
    & v10_lattices(esk1_0)
    & l3_lattices(esk1_0)
    & m1_subset_1(esk2_0,u1_struct_0(esk1_0))
    & ~ v1_xboole_0(esk3_0)
    & m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
    & r1_filter_2(u1_struct_0(esk1_0),esk3_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0))
    & ~ r1_filter_2(u1_struct_0(esk1_0),k19_filter_2(esk1_0,esk3_0),k18_filter_2(esk1_0,esk2_0)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).

fof(c_0_37,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,u1_struct_0(X1))
         => k5_filter_2(X1,X2) = X2 ) ),
    inference(fof_simplification,[status(thm)],[d4_filter_2]) ).

fof(c_0_38,plain,
    ! [X32,X33] :
      ( v1_xboole_0(X32)
      | ~ m1_subset_1(X33,X32)
      | k6_domain_1(X32,X33) = k1_tarski(X33) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])]) ).

cnf(c_0_39,plain,
    ( v1_xboole_0(X1)
    | ~ v1_xboole_0(X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_40,negated_conjecture,
    m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_41,negated_conjecture,
    ~ v1_xboole_0(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

fof(c_0_42,plain,
    ! [X1,X2] :
      ( ( ~ v1_xboole_0(X1)
        & m1_subset_1(X2,X1) )
     => m1_subset_1(k6_domain_1(X1,X2),k1_zfmisc_1(X1)) ),
    inference(fof_simplification,[status(thm)],[dt_k6_domain_1]) ).

fof(c_0_43,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => k7_filter_2(X1,X2) = X2 ) ),
    inference(fof_simplification,[status(thm)],[d6_filter_2]) ).

fof(c_0_44,plain,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & m1_subset_1(X2,u1_struct_0(X1)) )
     => m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1))) ),
    inference(fof_simplification,[status(thm)],[dt_k5_filter_2]) ).

fof(c_0_45,plain,
    ! [X83,X84] :
      ( v3_struct_0(X83)
      | ~ v10_lattices(X83)
      | ~ l3_lattices(X83)
      | ~ m1_subset_1(X84,u1_struct_0(X83))
      | k5_filter_2(X83,X84) = X84 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])]) ).

fof(c_0_46,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]) ).

cnf(c_0_47,plain,
    ( v1_xboole_0(X1)
    | k6_domain_1(X1,X2) = k1_tarski(X2)
    | ~ m1_subset_1(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_48,negated_conjecture,
    m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_49,negated_conjecture,
    ~ v1_xboole_0(u1_struct_0(esk1_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).

fof(c_0_50,plain,
    ! [X30,X31] :
      ( v1_xboole_0(X30)
      | ~ m1_subset_1(X31,X30)
      | m1_subset_1(k6_domain_1(X30,X31),k1_zfmisc_1(X30)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])]) ).

fof(c_0_51,plain,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
     => m1_subset_1(k7_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
    inference(fof_simplification,[status(thm)],[dt_k7_filter_2]) ).

fof(c_0_52,plain,
    ! [X103,X104] :
      ( v3_struct_0(X103)
      | ~ v10_lattices(X103)
      | ~ l3_lattices(X103)
      | ~ m1_subset_1(X104,k1_zfmisc_1(u1_struct_0(X103)))
      | k7_filter_2(X103,X104) = X104 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])]) ).

fof(c_0_53,plain,
    ! [X85,X86] :
      ( v3_struct_0(X85)
      | ~ v10_lattices(X85)
      | ~ l3_lattices(X85)
      | ~ m1_subset_1(X86,u1_struct_0(X85))
      | m1_subset_1(k5_filter_2(X85,X86),u1_struct_0(k1_lattice2(X85))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])]) ).

cnf(c_0_54,plain,
    ( v3_struct_0(X1)
    | k5_filter_2(X1,X2) = X2
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_55,negated_conjecture,
    l3_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_56,negated_conjecture,
    v10_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_57,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

fof(c_0_58,plain,
    ! [X10,X11,X12] :
      ( ( ~ r1_filter_2(X10,X11,X12)
        | X11 = X12
        | v1_xboole_0(X10)
        | ~ m1_subset_1(X11,k1_zfmisc_1(X10))
        | ~ m1_subset_1(X12,k1_zfmisc_1(X10)) )
      & ( X11 != X12
        | r1_filter_2(X10,X11,X12)
        | v1_xboole_0(X10)
        | ~ m1_subset_1(X11,k1_zfmisc_1(X10))
        | ~ m1_subset_1(X12,k1_zfmisc_1(X10)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])]) ).

cnf(c_0_59,negated_conjecture,
    r1_filter_2(u1_struct_0(esk1_0),esk3_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_60,negated_conjecture,
    k6_domain_1(u1_struct_0(esk1_0),esk2_0) = k1_tarski(esk2_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).

cnf(c_0_61,plain,
    ( v1_xboole_0(X1)
    | m1_subset_1(k6_domain_1(X1,X2),k1_zfmisc_1(X1))
    | ~ m1_subset_1(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

fof(c_0_62,plain,
    ! [X91,X92] :
      ( v3_struct_0(X91)
      | ~ v10_lattices(X91)
      | ~ l3_lattices(X91)
      | ~ m1_subset_1(X92,k1_zfmisc_1(u1_struct_0(X91)))
      | m1_subset_1(k7_filter_2(X91,X92),k1_zfmisc_1(u1_struct_0(k1_lattice2(X91)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])]) ).

cnf(c_0_63,plain,
    ( v3_struct_0(X1)
    | k7_filter_2(X1,X2) = X2
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

fof(c_0_64,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,u1_struct_0(X1))
         => k18_filter_2(X1,X2) = a_2_0_filter_2(X1,X2) ) ),
    inference(fof_simplification,[status(thm)],[d9_filter_2]) ).

fof(c_0_65,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,u1_struct_0(X1))
         => ! [X3] :
              ( ( ~ v1_xboole_0(X3)
                & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
             => ( X3 = k6_domain_1(u1_struct_0(X1),X2)
               => k3_filter_0(X1,X3) = k2_filter_0(X1,X2) ) ) ) ),
    inference(fof_simplification,[status(thm)],[t30_filter_0]) ).

cnf(c_0_66,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1)))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_67,negated_conjecture,
    k5_filter_2(esk1_0,esk2_0) = esk2_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_48]),c_0_55]),c_0_56])]),c_0_57]) ).

cnf(c_0_68,plain,
    ( X2 = X3
    | v1_xboole_0(X1)
    | ~ r1_filter_2(X1,X2,X3)
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1))
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_69,negated_conjecture,
    r1_filter_2(u1_struct_0(esk1_0),esk3_0,k1_tarski(esk2_0)),
    inference(rw,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_70,negated_conjecture,
    m1_subset_1(k1_tarski(esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_48]),c_0_60]),c_0_49]) ).

cnf(c_0_71,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k7_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_72,negated_conjecture,
    k7_filter_2(esk1_0,esk3_0) = esk3_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_40]),c_0_55]),c_0_56])]),c_0_57]) ).

fof(c_0_73,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,u1_struct_0(X1))
         => ( k18_filter_2(X1,X2) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2))
            & k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2)) = k2_filter_2(X1,X2) ) ) ),
    inference(fof_simplification,[status(thm)],[t30_filter_2]) ).

fof(c_0_74,plain,
    ! [X19,X20] :
      ( v3_struct_0(X19)
      | ~ v10_lattices(X19)
      | ~ l3_lattices(X19)
      | ~ m1_subset_1(X20,u1_struct_0(X19))
      | k18_filter_2(X19,X20) = a_2_0_filter_2(X19,X20) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])]) ).

fof(c_0_75,plain,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & ~ v1_xboole_0(X2)
        & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
     => k3_filter_2(X1,X2) = k3_filter_0(X1,X2) ),
    inference(fof_simplification,[status(thm)],[redefinition_k3_filter_2]) ).

fof(c_0_76,plain,
    ! [X34,X35,X36] :
      ( v3_struct_0(X34)
      | ~ v10_lattices(X34)
      | ~ l3_lattices(X34)
      | ~ m1_subset_1(X35,u1_struct_0(X34))
      | v1_xboole_0(X36)
      | ~ m1_subset_1(X36,k1_zfmisc_1(u1_struct_0(X34)))
      | X36 != k6_domain_1(u1_struct_0(X34),X35)
      | k3_filter_0(X34,X36) = k2_filter_0(X34,X35) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])]) ).

cnf(c_0_77,negated_conjecture,
    m1_subset_1(esk2_0,u1_struct_0(k1_lattice2(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_66,c_0_48]),c_0_67]),c_0_55]),c_0_56])]),c_0_57]) ).

cnf(c_0_78,negated_conjecture,
    k1_tarski(esk2_0) = esk3_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]),c_0_40])]),c_0_49]) ).

cnf(c_0_79,negated_conjecture,
    m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(k1_lattice2(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_71,c_0_40]),c_0_72]),c_0_55]),c_0_56])]),c_0_57]) ).

fof(c_0_80,plain,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & m1_subset_1(X2,u1_struct_0(X1)) )
     => k2_filter_2(X1,X2) = k2_filter_0(X1,X2) ),
    inference(fof_simplification,[status(thm)],[redefinition_k2_filter_2]) ).

fof(c_0_81,plain,
    ! [X23,X24] :
      ( ( k18_filter_2(X23,X24) = k2_filter_2(k1_lattice2(X23),k5_filter_2(X23,X24))
        | ~ m1_subset_1(X24,u1_struct_0(X23))
        | v3_struct_0(X23)
        | ~ v10_lattices(X23)
        | ~ l3_lattices(X23) )
      & ( k18_filter_2(k1_lattice2(X23),k5_filter_2(X23,X24)) = k2_filter_2(X23,X24)
        | ~ m1_subset_1(X24,u1_struct_0(X23))
        | v3_struct_0(X23)
        | ~ v10_lattices(X23)
        | ~ l3_lattices(X23) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_73])])])]) ).

cnf(c_0_82,plain,
    ( v3_struct_0(X1)
    | k18_filter_2(X1,X2) = a_2_0_filter_2(X1,X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

fof(c_0_83,plain,
    ! [X101,X102] :
      ( v3_struct_0(X101)
      | ~ v10_lattices(X101)
      | ~ l3_lattices(X101)
      | v1_xboole_0(X102)
      | ~ m1_subset_1(X102,k1_zfmisc_1(u1_struct_0(X101)))
      | k3_filter_2(X101,X102) = k3_filter_0(X101,X102) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_75])]) ).

fof(c_0_84,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]) ).

cnf(c_0_85,plain,
    ( v3_struct_0(X1)
    | v1_xboole_0(X3)
    | k3_filter_0(X1,X3) = k2_filter_0(X1,X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
    | X3 != k6_domain_1(u1_struct_0(X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_86,negated_conjecture,
    ( k6_domain_1(u1_struct_0(k1_lattice2(esk1_0)),esk2_0) = esk3_0
    | v1_xboole_0(u1_struct_0(k1_lattice2(esk1_0))) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_77]),c_0_78]) ).

cnf(c_0_87,negated_conjecture,
    ~ v1_xboole_0(u1_struct_0(k1_lattice2(esk1_0))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_79]),c_0_41]) ).

fof(c_0_88,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( ( ~ v1_xboole_0(X2)
            & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
         => ! [X3] :
              ( ( ~ v1_xboole_0(X3)
                & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) )
             => ( k3_filter_2(k1_lattice2(X1),k7_filter_2(X1,X2)) = k19_filter_2(X1,X2)
                & k3_filter_2(X1,X2) = k19_filter_2(k1_lattice2(X1),k7_filter_2(X1,X2))
                & k3_filter_2(X1,k8_filter_2(X1,X3)) = k19_filter_2(k1_lattice2(X1),X3)
                & k3_filter_2(k1_lattice2(X1),X3) = k19_filter_2(X1,k8_filter_2(X1,X3)) ) ) ) ),
    inference(fof_simplification,[status(thm)],[t37_filter_2]) ).

fof(c_0_89,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l1_struct_0(X1) )
     => ? [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
          & ~ v1_xboole_0(X2) ) ),
    inference(fof_simplification,[status(thm)],[rc5_struct_0]) ).

fof(c_0_90,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
         => k8_filter_2(X1,X2) = X2 ) ),
    inference(fof_simplification,[status(thm)],[d7_filter_2]) ).

fof(c_0_91,plain,
    ! [X81,X82] :
      ( v3_struct_0(X81)
      | ~ v10_lattices(X81)
      | ~ l3_lattices(X81)
      | ~ m1_subset_1(X82,u1_struct_0(X81))
      | k2_filter_2(X81,X82) = k2_filter_0(X81,X82) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_80])]) ).

cnf(c_0_92,plain,
    ( k18_filter_2(X1,X2) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2))
    | v3_struct_0(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_93,negated_conjecture,
    k18_filter_2(esk1_0,esk2_0) = a_2_0_filter_2(esk1_0,esk2_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_48]),c_0_55]),c_0_56])]),c_0_57]) ).

cnf(c_0_94,plain,
    ( v3_struct_0(X1)
    | v1_xboole_0(X2)
    | k3_filter_2(X1,X2) = k3_filter_0(X1,X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

fof(c_0_95,plain,
    ! [X98] :
      ( ( ~ v3_struct_0(k1_lattice2(X98))
        | v3_struct_0(X98)
        | ~ v10_lattices(X98)
        | ~ l3_lattices(X98) )
      & ( v3_lattices(k1_lattice2(X98))
        | v3_struct_0(X98)
        | ~ v10_lattices(X98)
        | ~ l3_lattices(X98) )
      & ( v4_lattices(k1_lattice2(X98))
        | v3_struct_0(X98)
        | ~ v10_lattices(X98)
        | ~ l3_lattices(X98) )
      & ( v5_lattices(k1_lattice2(X98))
        | v3_struct_0(X98)
        | ~ v10_lattices(X98)
        | ~ l3_lattices(X98) )
      & ( v6_lattices(k1_lattice2(X98))
        | v3_struct_0(X98)
        | ~ v10_lattices(X98)
        | ~ l3_lattices(X98) )
      & ( v7_lattices(k1_lattice2(X98))
        | v3_struct_0(X98)
        | ~ v10_lattices(X98)
        | ~ l3_lattices(X98) )
      & ( v8_lattices(k1_lattice2(X98))
        | v3_struct_0(X98)
        | ~ v10_lattices(X98)
        | ~ l3_lattices(X98) )
      & ( v9_lattices(k1_lattice2(X98))
        | v3_struct_0(X98)
        | ~ v10_lattices(X98)
        | ~ l3_lattices(X98) )
      & ( v10_lattices(k1_lattice2(X98))
        | v3_struct_0(X98)
        | ~ v10_lattices(X98)
        | ~ l3_lattices(X98) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_84])])]) ).

cnf(c_0_96,plain,
    ( k3_filter_0(X1,k6_domain_1(u1_struct_0(X1),X2)) = k2_filter_0(X1,X2)
    | v1_xboole_0(k6_domain_1(u1_struct_0(X1),X2))
    | v3_struct_0(X1)
    | ~ m1_subset_1(k6_domain_1(u1_struct_0(X1),X2),k1_zfmisc_1(u1_struct_0(X1)))
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(er,[status(thm)],[c_0_85]) ).

cnf(c_0_97,negated_conjecture,
    k6_domain_1(u1_struct_0(k1_lattice2(esk1_0)),esk2_0) = esk3_0,
    inference(sr,[status(thm)],[c_0_86,c_0_87]) ).

fof(c_0_98,plain,
    ! [X27,X28,X29] :
      ( ( k3_filter_2(k1_lattice2(X27),k7_filter_2(X27,X28)) = k19_filter_2(X27,X28)
        | v1_xboole_0(X29)
        | ~ m1_subset_1(X29,k1_zfmisc_1(u1_struct_0(k1_lattice2(X27))))
        | v1_xboole_0(X28)
        | ~ m1_subset_1(X28,k1_zfmisc_1(u1_struct_0(X27)))
        | v3_struct_0(X27)
        | ~ v10_lattices(X27)
        | ~ l3_lattices(X27) )
      & ( k3_filter_2(X27,X28) = k19_filter_2(k1_lattice2(X27),k7_filter_2(X27,X28))
        | v1_xboole_0(X29)
        | ~ m1_subset_1(X29,k1_zfmisc_1(u1_struct_0(k1_lattice2(X27))))
        | v1_xboole_0(X28)
        | ~ m1_subset_1(X28,k1_zfmisc_1(u1_struct_0(X27)))
        | v3_struct_0(X27)
        | ~ v10_lattices(X27)
        | ~ l3_lattices(X27) )
      & ( k3_filter_2(X27,k8_filter_2(X27,X29)) = k19_filter_2(k1_lattice2(X27),X29)
        | v1_xboole_0(X29)
        | ~ m1_subset_1(X29,k1_zfmisc_1(u1_struct_0(k1_lattice2(X27))))
        | v1_xboole_0(X28)
        | ~ m1_subset_1(X28,k1_zfmisc_1(u1_struct_0(X27)))
        | v3_struct_0(X27)
        | ~ v10_lattices(X27)
        | ~ l3_lattices(X27) )
      & ( k3_filter_2(k1_lattice2(X27),X29) = k19_filter_2(X27,k8_filter_2(X27,X29))
        | v1_xboole_0(X29)
        | ~ m1_subset_1(X29,k1_zfmisc_1(u1_struct_0(k1_lattice2(X27))))
        | v1_xboole_0(X28)
        | ~ m1_subset_1(X28,k1_zfmisc_1(u1_struct_0(X27)))
        | v3_struct_0(X27)
        | ~ v10_lattices(X27)
        | ~ l3_lattices(X27) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_88])])])]) ).

fof(c_0_99,plain,
    ! [X57] :
      ( ( m1_subset_1(esk7_1(X57),k1_zfmisc_1(u1_struct_0(X57)))
        | v3_struct_0(X57)
        | ~ l1_struct_0(X57) )
      & ( ~ v1_xboole_0(esk7_1(X57))
        | v3_struct_0(X57)
        | ~ l1_struct_0(X57) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_89])])])]) ).

fof(c_0_100,plain,
    ! [X88,X89] :
      ( v3_struct_0(X88)
      | ~ v10_lattices(X88)
      | ~ l3_lattices(X88)
      | ~ m1_subset_1(X89,k1_zfmisc_1(u1_struct_0(k1_lattice2(X88))))
      | k8_filter_2(X88,X89) = X89 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_90])])]) ).

fof(c_0_101,plain,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & ~ v1_xboole_0(X2)
        & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
     => m2_filter_2(k19_filter_2(X1,X2),X1) ),
    inference(fof_simplification,[status(thm)],[dt_k19_filter_2]) ).

cnf(c_0_102,plain,
    ( v3_struct_0(X1)
    | k2_filter_2(X1,X2) = k2_filter_0(X1,X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_91]) ).

cnf(c_0_103,negated_conjecture,
    k2_filter_2(k1_lattice2(esk1_0),esk2_0) = a_2_0_filter_2(esk1_0,esk2_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(spm,[status(thm)],[c_0_92,c_0_48]),c_0_67]),c_0_93]),c_0_55]),c_0_56])]),c_0_57]) ).

cnf(c_0_104,negated_conjecture,
    ( k3_filter_0(k1_lattice2(esk1_0),esk3_0) = k3_filter_2(k1_lattice2(esk1_0),esk3_0)
    | v3_struct_0(k1_lattice2(esk1_0))
    | ~ l3_lattices(k1_lattice2(esk1_0))
    | ~ v10_lattices(k1_lattice2(esk1_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_79]),c_0_41]) ).

cnf(c_0_105,plain,
    ( v10_lattices(k1_lattice2(X1))
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

fof(c_0_106,plain,
    ! [X90] :
      ( ( v3_lattices(k1_lattice2(X90))
        | ~ l3_lattices(X90) )
      & ( l3_lattices(k1_lattice2(X90))
        | ~ l3_lattices(X90) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).

cnf(c_0_107,negated_conjecture,
    ( k3_filter_0(k1_lattice2(esk1_0),esk3_0) = k2_filter_0(k1_lattice2(esk1_0),esk2_0)
    | v3_struct_0(k1_lattice2(esk1_0))
    | ~ l3_lattices(k1_lattice2(esk1_0))
    | ~ v10_lattices(k1_lattice2(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(spm,[status(thm)],[c_0_96,c_0_77]),c_0_97]),c_0_97]),c_0_97]),c_0_79])]),c_0_41]) ).

cnf(c_0_108,plain,
    ( k3_filter_2(k1_lattice2(X1),X2) = k19_filter_2(X1,k8_filter_2(X1,X2))
    | v1_xboole_0(X2)
    | v1_xboole_0(X3)
    | v3_struct_0(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_109,plain,
    ( m1_subset_1(esk7_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | v3_struct_0(X1)
    | ~ l1_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_110,plain,
    ( v3_struct_0(X1)
    | ~ v1_xboole_0(esk7_1(X1))
    | ~ l1_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_111,plain,
    ( v3_struct_0(X1)
    | k8_filter_2(X1,X2) = X2
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
    inference(split_conjunct,[status(thm)],[c_0_100]) ).

fof(c_0_112,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_113,plain,
    ! [X25,X26] :
      ( v3_struct_0(X25)
      | ~ v10_lattices(X25)
      | ~ l3_lattices(X25)
      | v1_xboole_0(X26)
      | ~ m1_subset_1(X26,k1_zfmisc_1(u1_struct_0(X25)))
      | m2_filter_2(k19_filter_2(X25,X26),X25) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_101])]) ).

cnf(c_0_114,negated_conjecture,
    ( k2_filter_0(k1_lattice2(esk1_0),esk2_0) = a_2_0_filter_2(esk1_0,esk2_0)
    | v3_struct_0(k1_lattice2(esk1_0))
    | ~ l3_lattices(k1_lattice2(esk1_0))
    | ~ v10_lattices(k1_lattice2(esk1_0)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_77]),c_0_103]) ).

cnf(c_0_115,negated_conjecture,
    ( k3_filter_0(k1_lattice2(esk1_0),esk3_0) = k3_filter_2(k1_lattice2(esk1_0),esk3_0)
    | v3_struct_0(k1_lattice2(esk1_0))
    | ~ l3_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_104,c_0_105]),c_0_55]),c_0_56])]),c_0_57]) ).

cnf(c_0_116,plain,
    ( l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_106]) ).

cnf(c_0_117,negated_conjecture,
    ( k3_filter_0(k1_lattice2(esk1_0),esk3_0) = k2_filter_0(k1_lattice2(esk1_0),esk2_0)
    | v3_struct_0(k1_lattice2(esk1_0))
    | ~ l3_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_107,c_0_105]),c_0_55]),c_0_56])]),c_0_57]) ).

cnf(c_0_118,plain,
    ( k19_filter_2(X1,k8_filter_2(X1,X2)) = k3_filter_2(k1_lattice2(X1),X2)
    | v1_xboole_0(X2)
    | v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110]) ).

cnf(c_0_119,negated_conjecture,
    k8_filter_2(esk1_0,esk3_0) = esk3_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_79]),c_0_55]),c_0_56])]),c_0_57]) ).

fof(c_0_120,plain,
    ! [X149] :
      ( ~ l1_lattices(X149)
      | l1_struct_0(X149) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_lattices])]) ).

fof(c_0_121,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_122,plain,
    ! [X75,X76] :
      ( ( ~ v1_xboole_0(X76)
        | ~ m2_filter_2(X76,X75)
        | v3_struct_0(X75)
        | ~ v10_lattices(X75)
        | ~ l3_lattices(X75) )
      & ( m2_lattice4(X76,X75)
        | ~ m2_filter_2(X76,X75)
        | v3_struct_0(X75)
        | ~ v10_lattices(X75)
        | ~ l3_lattices(X75) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_112])])])]) ).

cnf(c_0_123,plain,
    ( v3_struct_0(X1)
    | v1_xboole_0(X2)
    | m2_filter_2(k19_filter_2(X1,X2),X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_113]) ).

cnf(c_0_124,negated_conjecture,
    ( k2_filter_0(k1_lattice2(esk1_0),esk2_0) = a_2_0_filter_2(esk1_0,esk2_0)
    | v3_struct_0(k1_lattice2(esk1_0))
    | ~ l3_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_114,c_0_105]),c_0_55]),c_0_56])]),c_0_57]) ).

cnf(c_0_125,negated_conjecture,
    ( k3_filter_0(k1_lattice2(esk1_0),esk3_0) = k3_filter_2(k1_lattice2(esk1_0),esk3_0)
    | v3_struct_0(k1_lattice2(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_55])]) ).

cnf(c_0_126,negated_conjecture,
    ( k3_filter_0(k1_lattice2(esk1_0),esk3_0) = k2_filter_0(k1_lattice2(esk1_0),esk2_0)
    | v3_struct_0(k1_lattice2(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_116]),c_0_55])]) ).

cnf(c_0_127,negated_conjecture,
    ( k3_filter_2(k1_lattice2(esk1_0),esk3_0) = k19_filter_2(esk1_0,esk3_0)
    | ~ l1_struct_0(esk1_0) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_79]),c_0_119]),c_0_55]),c_0_56])]),c_0_41]),c_0_57]) ).

cnf(c_0_128,plain,
    ( l1_struct_0(X1)
    | ~ l1_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_120]) ).

fof(c_0_129,plain,
    ! [X185] :
      ( ( l1_lattices(X185)
        | ~ l3_lattices(X185) )
      & ( l2_lattices(X185)
        | ~ l3_lattices(X185) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])]) ).

fof(c_0_130,plain,
    ! [X162,X163] :
      ( v3_struct_0(X162)
      | ~ v10_lattices(X162)
      | ~ l3_lattices(X162)
      | ~ m2_lattice4(X163,X162)
      | m1_subset_1(X163,k1_zfmisc_1(u1_struct_0(X162))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_121])])]) ).

cnf(c_0_131,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_122]) ).

cnf(c_0_132,negated_conjecture,
    m2_filter_2(k19_filter_2(esk1_0,esk3_0),esk1_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_40]),c_0_55]),c_0_56])]),c_0_41]),c_0_57]) ).

cnf(c_0_133,negated_conjecture,
    ( k2_filter_0(k1_lattice2(esk1_0),esk2_0) = a_2_0_filter_2(esk1_0,esk2_0)
    | v3_struct_0(k1_lattice2(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_116]),c_0_55])]) ).

cnf(c_0_134,negated_conjecture,
    ( k2_filter_0(k1_lattice2(esk1_0),esk2_0) = k3_filter_2(k1_lattice2(esk1_0),esk3_0)
    | v3_struct_0(k1_lattice2(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_125,c_0_126]) ).

cnf(c_0_135,negated_conjecture,
    ( k3_filter_2(k1_lattice2(esk1_0),esk3_0) = k19_filter_2(esk1_0,esk3_0)
    | ~ l1_lattices(esk1_0) ),
    inference(spm,[status(thm)],[c_0_127,c_0_128]) ).

cnf(c_0_136,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_129]) ).

cnf(c_0_137,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_58]) ).

cnf(c_0_138,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_130]) ).

cnf(c_0_139,negated_conjecture,
    m2_lattice4(k19_filter_2(esk1_0,esk3_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_131,c_0_132]),c_0_55]),c_0_56])]),c_0_57]) ).

fof(c_0_140,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]) ).

cnf(c_0_141,negated_conjecture,
    ~ r1_filter_2(u1_struct_0(esk1_0),k19_filter_2(esk1_0,esk3_0),k18_filter_2(esk1_0,esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_142,negated_conjecture,
    ( k3_filter_2(k1_lattice2(esk1_0),esk3_0) = a_2_0_filter_2(esk1_0,esk2_0)
    | v3_struct_0(k1_lattice2(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_133,c_0_134]) ).

cnf(c_0_143,negated_conjecture,
    k3_filter_2(k1_lattice2(esk1_0),esk3_0) = k19_filter_2(esk1_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_55])]) ).

cnf(c_0_144,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_137]) ).

cnf(c_0_145,negated_conjecture,
    m1_subset_1(k19_filter_2(esk1_0,esk3_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_138,c_0_139]),c_0_55]),c_0_56])]),c_0_57]) ).

fof(c_0_146,plain,
    ! [X95] :
      ( ( ~ v3_struct_0(k1_lattice2(X95))
        | v3_struct_0(X95)
        | ~ l3_lattices(X95) )
      & ( v3_lattices(k1_lattice2(X95))
        | v3_struct_0(X95)
        | ~ l3_lattices(X95) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_140])])]) ).

cnf(c_0_147,negated_conjecture,
    ~ r1_filter_2(u1_struct_0(esk1_0),k19_filter_2(esk1_0,esk3_0),a_2_0_filter_2(esk1_0,esk2_0)),
    inference(rw,[status(thm)],[c_0_141,c_0_93]) ).

cnf(c_0_148,negated_conjecture,
    ( a_2_0_filter_2(esk1_0,esk2_0) = k19_filter_2(esk1_0,esk3_0)
    | v3_struct_0(k1_lattice2(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_142,c_0_143]) ).

cnf(c_0_149,negated_conjecture,
    r1_filter_2(u1_struct_0(esk1_0),k19_filter_2(esk1_0,esk3_0),k19_filter_2(esk1_0,esk3_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_49]) ).

cnf(c_0_150,plain,
    ( v3_struct_0(X1)
    | ~ v3_struct_0(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_146]) ).

cnf(c_0_151,negated_conjecture,
    v3_struct_0(k1_lattice2(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_149])]) ).

cnf(c_0_152,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_55])]),c_0_57]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem    : LAT312+1 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.15  % Command    : run_E %s %d THM
% 0.16/0.36  % Computer : n027.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 2400
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Mon Oct  2 10:41:45 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.23/0.51  Running first-order theorem proving
% 0.23/0.51  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.pfs6q9OTCq/E---3.1_31489.p
% 5.35/1.18  # Version: 3.1pre001
% 5.35/1.18  # Preprocessing class: FSLSSMSSSSSNFFN.
% 5.35/1.18  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.35/1.18  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 5.35/1.18  # Starting new_bool_3 with 300s (1) cores
% 5.35/1.18  # Starting new_bool_1 with 300s (1) cores
% 5.35/1.18  # Starting sh5l with 300s (1) cores
% 5.35/1.18  # sh5l with pid 31631 completed with status 0
% 5.35/1.18  # Result found by sh5l
% 5.35/1.18  # Preprocessing class: FSLSSMSSSSSNFFN.
% 5.35/1.18  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.35/1.18  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 5.35/1.18  # Starting new_bool_3 with 300s (1) cores
% 5.35/1.18  # Starting new_bool_1 with 300s (1) cores
% 5.35/1.18  # Starting sh5l with 300s (1) cores
% 5.35/1.18  # SinE strategy is gf500_gu_R04_F100_L20000
% 5.35/1.18  # Search class: FGHSM-FSLM31-MFFFFFNN
% 5.35/1.18  # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 5.35/1.18  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 135s (1) cores
% 5.35/1.18  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 31644 completed with status 0
% 5.35/1.18  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 5.35/1.18  # Preprocessing class: FSLSSMSSSSSNFFN.
% 5.35/1.18  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.35/1.18  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 5.35/1.18  # Starting new_bool_3 with 300s (1) cores
% 5.35/1.18  # Starting new_bool_1 with 300s (1) cores
% 5.35/1.18  # Starting sh5l with 300s (1) cores
% 5.35/1.18  # SinE strategy is gf500_gu_R04_F100_L20000
% 5.35/1.18  # Search class: FGHSM-FSLM31-MFFFFFNN
% 5.35/1.18  # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 5.35/1.18  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 135s (1) cores
% 5.35/1.18  # Preprocessing time       : 0.004 s
% 5.35/1.18  # Presaturation interreduction done
% 5.35/1.18  
% 5.35/1.18  # Proof found!
% 5.35/1.18  # SZS status Theorem
% 5.35/1.18  # SZS output start CNFRefutation
% See solution above
% 5.35/1.18  # Parsed axioms                        : 112
% 5.35/1.18  # Removed by relevancy pruning/SinE    : 12
% 5.35/1.18  # Initial clauses                      : 195
% 5.35/1.18  # Removed in clause preprocessing      : 4
% 5.35/1.18  # Initial clauses in saturation        : 191
% 5.35/1.18  # Processed clauses                    : 10732
% 5.35/1.18  # ...of these trivial                  : 113
% 5.35/1.18  # ...subsumed                          : 7746
% 5.35/1.18  # ...remaining for further processing  : 2873
% 5.35/1.18  # Other redundant clauses eliminated   : 22
% 5.35/1.18  # Clauses deleted for lack of memory   : 0
% 5.35/1.18  # Backward-subsumed                    : 91
% 5.35/1.18  # Backward-rewritten                   : 186
% 5.35/1.18  # Generated clauses                    : 32251
% 5.35/1.18  # ...of the previous two non-redundant : 31468
% 5.35/1.18  # ...aggressively subsumed             : 0
% 5.35/1.18  # Contextual simplify-reflections      : 29
% 5.35/1.18  # Paramodulations                      : 32222
% 5.35/1.18  # Factorizations                       : 2
% 5.35/1.18  # NegExts                              : 0
% 5.35/1.18  # Equation resolutions                 : 25
% 5.35/1.18  # Total rewrite steps                  : 10456
% 5.35/1.18  # Propositional unsat checks           : 0
% 5.35/1.18  #    Propositional check models        : 0
% 5.35/1.18  #    Propositional check unsatisfiable : 0
% 5.35/1.18  #    Propositional clauses             : 0
% 5.35/1.18  #    Propositional clauses after purity: 0
% 5.35/1.18  #    Propositional unsat core size     : 0
% 5.35/1.18  #    Propositional preprocessing time  : 0.000
% 5.35/1.18  #    Propositional encoding time       : 0.000
% 5.35/1.18  #    Propositional solver time         : 0.000
% 5.35/1.18  #    Success case prop preproc time    : 0.000
% 5.35/1.18  #    Success case prop encoding time   : 0.000
% 5.35/1.18  #    Success case prop solver time     : 0.000
% 5.35/1.18  # Current number of processed clauses  : 2413
% 5.35/1.18  #    Positive orientable unit clauses  : 998
% 5.35/1.18  #    Positive unorientable unit clauses: 0
% 5.35/1.18  #    Negative unit clauses             : 321
% 5.35/1.18  #    Non-unit-clauses                  : 1094
% 5.35/1.18  # Current number of unprocessed clauses: 20547
% 5.35/1.18  # ...number of literals in the above   : 71234
% 5.35/1.18  # Current number of archived formulas  : 0
% 5.35/1.18  # Current number of archived clauses   : 456
% 5.35/1.18  # Clause-clause subsumption calls (NU) : 303048
% 5.35/1.18  # Rec. Clause-clause subsumption calls : 121926
% 5.35/1.18  # Non-unit clause-clause subsumptions  : 2013
% 5.35/1.18  # Unit Clause-clause subsumption calls : 39637
% 5.35/1.18  # Rewrite failures with RHS unbound    : 0
% 5.35/1.18  # BW rewrite match attempts            : 3462
% 5.35/1.18  # BW rewrite match successes           : 50
% 5.35/1.18  # Condensation attempts                : 0
% 5.35/1.18  # Condensation successes               : 0
% 5.35/1.18  # Termbank termtop insertions          : 586795
% 5.35/1.18  
% 5.35/1.18  # -------------------------------------------------
% 5.35/1.18  # User time                : 0.610 s
% 5.35/1.18  # System time              : 0.031 s
% 5.35/1.18  # Total time               : 0.641 s
% 5.35/1.18  # Maximum resident set size: 2620 pages
% 5.35/1.18  
% 5.35/1.18  # -------------------------------------------------
% 5.35/1.18  # User time                : 0.613 s
% 5.35/1.18  # System time              : 0.034 s
% 5.35/1.18  # Total time               : 0.647 s
% 5.35/1.18  # Maximum resident set size: 1796 pages
% 5.35/1.18  % E---3.1 exiting
% 5.35/1.18  % E---3.1 exiting
%------------------------------------------------------------------------------