TSTP Solution File: SEU386+2 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SEU386+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n016.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 19:26:15 EDT 2023

% Result   : Theorem 25.17s 3.84s
% Output   : CNFRefutation 25.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   44 (  12 unt;   0 def)
%            Number of atoms       :  344 (  13 equ)
%            Maximal formula atoms :   81 (   7 avg)
%            Number of connectives :  473 ( 173   ~; 194   |;  64   &)
%                                         (   6 <=>;  36  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-4 aty)
%            Number of variables   :   92 (   0 sgn;  57   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(d18_yellow_6,axiom,
    ! [X1] :
      ( ( ~ empty_carrier(X1)
        & topological_space(X1)
        & top_str(X1) )
     => ! [X2] :
          ( ( ~ empty_carrier(X2)
            & transitive_relstr(X2)
            & directed_relstr(X2)
            & net_str(X2,X1) )
         => ! [X3] :
              ( element(X3,powerset(the_carrier(X1)))
             => ( X3 = lim_points_of_net(X1,X2)
              <=> ! [X4] :
                    ( element(X4,the_carrier(X1))
                   => ( in(X4,X3)
                    <=> ! [X5] :
                          ( point_neighbourhood(X5,X1,X4)
                         => is_eventually_in(X1,X2,X5) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.avS4QUJn84/E---3.1_14851.p',d18_yellow_6) ).

fof(t4_subset,axiom,
    ! [X1,X2,X3] :
      ( ( in(X1,X2)
        & element(X2,powerset(X3)) )
     => element(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.avS4QUJn84/E---3.1_14851.p',t4_subset) ).

fof(dt_k11_yellow_6,axiom,
    ! [X1,X2] :
      ( ( ~ empty_carrier(X1)
        & topological_space(X1)
        & top_str(X1)
        & ~ empty_carrier(X2)
        & transitive_relstr(X2)
        & directed_relstr(X2)
        & net_str(X2,X1) )
     => element(lim_points_of_net(X1,X2),powerset(the_carrier(X1))) ),
    file('/export/starexec/sandbox2/tmp/tmp.avS4QUJn84/E---3.1_14851.p',dt_k11_yellow_6) ).

fof(t29_waybel_9,conjecture,
    ! [X1] :
      ( ( ~ empty_carrier(X1)
        & topological_space(X1)
        & top_str(X1) )
     => ! [X2] :
          ( ( ~ empty_carrier(X2)
            & transitive_relstr(X2)
            & directed_relstr(X2)
            & net_str(X2,X1) )
         => ! [X3] :
              ( element(X3,the_carrier(X1))
             => ( in(X3,lim_points_of_net(X1,X2))
               => is_a_cluster_point_of_netstr(X1,X2,X3) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.avS4QUJn84/E---3.1_14851.p',t29_waybel_9) ).

fof(t28_yellow_6,lemma,
    ! [X1] :
      ( ( ~ empty_carrier(X1)
        & one_sorted_str(X1) )
     => ! [X2] :
          ( ( ~ empty_carrier(X2)
            & transitive_relstr(X2)
            & directed_relstr(X2)
            & net_str(X2,X1) )
         => ! [X3] :
              ( is_eventually_in(X1,X2,X3)
             => is_often_in(X1,X2,X3) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.avS4QUJn84/E---3.1_14851.p',t28_yellow_6) ).

fof(d9_waybel_9,axiom,
    ! [X1] :
      ( ( ~ empty_carrier(X1)
        & topological_space(X1)
        & top_str(X1) )
     => ! [X2] :
          ( ( ~ empty_carrier(X2)
            & net_str(X2,X1) )
         => ! [X3] :
              ( element(X3,the_carrier(X1))
             => ( is_a_cluster_point_of_netstr(X1,X2,X3)
              <=> ! [X4] :
                    ( point_neighbourhood(X4,X1,X3)
                   => is_often_in(X1,X2,X4) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.avS4QUJn84/E---3.1_14851.p',d9_waybel_9) ).

fof(dt_l1_pre_topc,axiom,
    ! [X1] :
      ( top_str(X1)
     => one_sorted_str(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.avS4QUJn84/E---3.1_14851.p',dt_l1_pre_topc) ).

fof(c_0_7,plain,
    ! [X1] :
      ( ( ~ empty_carrier(X1)
        & topological_space(X1)
        & top_str(X1) )
     => ! [X2] :
          ( ( ~ empty_carrier(X2)
            & transitive_relstr(X2)
            & directed_relstr(X2)
            & net_str(X2,X1) )
         => ! [X3] :
              ( element(X3,powerset(the_carrier(X1)))
             => ( X3 = lim_points_of_net(X1,X2)
              <=> ! [X4] :
                    ( element(X4,the_carrier(X1))
                   => ( in(X4,X3)
                    <=> ! [X5] :
                          ( point_neighbourhood(X5,X1,X4)
                         => is_eventually_in(X1,X2,X5) ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[d18_yellow_6]) ).

fof(c_0_8,plain,
    ! [X52,X53,X54,X55,X56,X60] :
      ( ( ~ in(X55,X54)
        | ~ point_neighbourhood(X56,X52,X55)
        | is_eventually_in(X52,X53,X56)
        | ~ element(X55,the_carrier(X52))
        | X54 != lim_points_of_net(X52,X53)
        | ~ element(X54,powerset(the_carrier(X52)))
        | empty_carrier(X53)
        | ~ transitive_relstr(X53)
        | ~ directed_relstr(X53)
        | ~ net_str(X53,X52)
        | empty_carrier(X52)
        | ~ topological_space(X52)
        | ~ top_str(X52) )
      & ( point_neighbourhood(esk8_4(X52,X53,X54,X55),X52,X55)
        | in(X55,X54)
        | ~ element(X55,the_carrier(X52))
        | X54 != lim_points_of_net(X52,X53)
        | ~ element(X54,powerset(the_carrier(X52)))
        | empty_carrier(X53)
        | ~ transitive_relstr(X53)
        | ~ directed_relstr(X53)
        | ~ net_str(X53,X52)
        | empty_carrier(X52)
        | ~ topological_space(X52)
        | ~ top_str(X52) )
      & ( ~ is_eventually_in(X52,X53,esk8_4(X52,X53,X54,X55))
        | in(X55,X54)
        | ~ element(X55,the_carrier(X52))
        | X54 != lim_points_of_net(X52,X53)
        | ~ element(X54,powerset(the_carrier(X52)))
        | empty_carrier(X53)
        | ~ transitive_relstr(X53)
        | ~ directed_relstr(X53)
        | ~ net_str(X53,X52)
        | empty_carrier(X52)
        | ~ topological_space(X52)
        | ~ top_str(X52) )
      & ( element(esk9_3(X52,X53,X54),the_carrier(X52))
        | X54 = lim_points_of_net(X52,X53)
        | ~ element(X54,powerset(the_carrier(X52)))
        | empty_carrier(X53)
        | ~ transitive_relstr(X53)
        | ~ directed_relstr(X53)
        | ~ net_str(X53,X52)
        | empty_carrier(X52)
        | ~ topological_space(X52)
        | ~ top_str(X52) )
      & ( point_neighbourhood(esk10_3(X52,X53,X54),X52,esk9_3(X52,X53,X54))
        | ~ in(esk9_3(X52,X53,X54),X54)
        | X54 = lim_points_of_net(X52,X53)
        | ~ element(X54,powerset(the_carrier(X52)))
        | empty_carrier(X53)
        | ~ transitive_relstr(X53)
        | ~ directed_relstr(X53)
        | ~ net_str(X53,X52)
        | empty_carrier(X52)
        | ~ topological_space(X52)
        | ~ top_str(X52) )
      & ( ~ is_eventually_in(X52,X53,esk10_3(X52,X53,X54))
        | ~ in(esk9_3(X52,X53,X54),X54)
        | X54 = lim_points_of_net(X52,X53)
        | ~ element(X54,powerset(the_carrier(X52)))
        | empty_carrier(X53)
        | ~ transitive_relstr(X53)
        | ~ directed_relstr(X53)
        | ~ net_str(X53,X52)
        | empty_carrier(X52)
        | ~ topological_space(X52)
        | ~ top_str(X52) )
      & ( in(esk9_3(X52,X53,X54),X54)
        | ~ point_neighbourhood(X60,X52,esk9_3(X52,X53,X54))
        | is_eventually_in(X52,X53,X60)
        | X54 = lim_points_of_net(X52,X53)
        | ~ element(X54,powerset(the_carrier(X52)))
        | empty_carrier(X53)
        | ~ transitive_relstr(X53)
        | ~ directed_relstr(X53)
        | ~ net_str(X53,X52)
        | empty_carrier(X52)
        | ~ topological_space(X52)
        | ~ top_str(X52) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])]) ).

fof(c_0_9,plain,
    ! [X45,X46,X47] :
      ( ~ in(X45,X46)
      | ~ element(X46,powerset(X47))
      | element(X45,X47) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).

fof(c_0_10,plain,
    ! [X1,X2] :
      ( ( ~ empty_carrier(X1)
        & topological_space(X1)
        & top_str(X1)
        & ~ empty_carrier(X2)
        & transitive_relstr(X2)
        & directed_relstr(X2)
        & net_str(X2,X1) )
     => element(lim_points_of_net(X1,X2),powerset(the_carrier(X1))) ),
    inference(fof_simplification,[status(thm)],[dt_k11_yellow_6]) ).

cnf(c_0_11,plain,
    ( is_eventually_in(X4,X5,X3)
    | empty_carrier(X5)
    | empty_carrier(X4)
    | ~ in(X1,X2)
    | ~ point_neighbourhood(X3,X4,X1)
    | ~ element(X1,the_carrier(X4))
    | X2 != lim_points_of_net(X4,X5)
    | ~ element(X2,powerset(the_carrier(X4)))
    | ~ transitive_relstr(X5)
    | ~ directed_relstr(X5)
    | ~ net_str(X5,X4)
    | ~ topological_space(X4)
    | ~ top_str(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,plain,
    ( element(X1,X3)
    | ~ in(X1,X2)
    | ~ element(X2,powerset(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_13,plain,
    ! [X61,X62] :
      ( empty_carrier(X61)
      | ~ topological_space(X61)
      | ~ top_str(X61)
      | empty_carrier(X62)
      | ~ transitive_relstr(X62)
      | ~ directed_relstr(X62)
      | ~ net_str(X62,X61)
      | element(lim_points_of_net(X61,X62),powerset(the_carrier(X61))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])]) ).

fof(c_0_14,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ empty_carrier(X1)
          & topological_space(X1)
          & top_str(X1) )
       => ! [X2] :
            ( ( ~ empty_carrier(X2)
              & transitive_relstr(X2)
              & directed_relstr(X2)
              & net_str(X2,X1) )
           => ! [X3] :
                ( element(X3,the_carrier(X1))
               => ( in(X3,lim_points_of_net(X1,X2))
                 => is_a_cluster_point_of_netstr(X1,X2,X3) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t29_waybel_9])]) ).

cnf(c_0_15,plain,
    ( is_eventually_in(X1,X2,X3)
    | empty_carrier(X1)
    | empty_carrier(X2)
    | X4 != lim_points_of_net(X1,X2)
    | ~ point_neighbourhood(X3,X1,X5)
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ directed_relstr(X2)
    | ~ transitive_relstr(X2)
    | ~ element(X4,powerset(the_carrier(X1)))
    | ~ in(X5,X4)
    | ~ net_str(X2,X1) ),
    inference(csr,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | element(lim_points_of_net(X1,X2),powerset(the_carrier(X1)))
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ transitive_relstr(X2)
    | ~ directed_relstr(X2)
    | ~ net_str(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_17,negated_conjecture,
    ( ~ empty_carrier(esk1_0)
    & topological_space(esk1_0)
    & top_str(esk1_0)
    & ~ empty_carrier(esk2_0)
    & transitive_relstr(esk2_0)
    & directed_relstr(esk2_0)
    & net_str(esk2_0,esk1_0)
    & element(esk3_0,the_carrier(esk1_0))
    & in(esk3_0,lim_points_of_net(esk1_0,esk2_0))
    & ~ is_a_cluster_point_of_netstr(esk1_0,esk2_0,esk3_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).

fof(c_0_18,lemma,
    ! [X1] :
      ( ( ~ empty_carrier(X1)
        & one_sorted_str(X1) )
     => ! [X2] :
          ( ( ~ empty_carrier(X2)
            & transitive_relstr(X2)
            & directed_relstr(X2)
            & net_str(X2,X1) )
         => ! [X3] :
              ( is_eventually_in(X1,X2,X3)
             => is_often_in(X1,X2,X3) ) ) ),
    inference(fof_simplification,[status(thm)],[t28_yellow_6]) ).

cnf(c_0_19,plain,
    ( is_eventually_in(X1,X2,X3)
    | empty_carrier(X4)
    | empty_carrier(X2)
    | empty_carrier(X1)
    | lim_points_of_net(X1,X4) != lim_points_of_net(X1,X2)
    | ~ point_neighbourhood(X3,X1,X5)
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ directed_relstr(X2)
    | ~ directed_relstr(X4)
    | ~ transitive_relstr(X2)
    | ~ transitive_relstr(X4)
    | ~ in(X5,lim_points_of_net(X1,X4))
    | ~ net_str(X2,X1)
    | ~ net_str(X4,X1) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    in(esk3_0,lim_points_of_net(esk1_0,esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_21,negated_conjecture,
    topological_space(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_22,negated_conjecture,
    top_str(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_23,negated_conjecture,
    directed_relstr(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_24,negated_conjecture,
    transitive_relstr(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_25,negated_conjecture,
    net_str(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_26,negated_conjecture,
    ~ empty_carrier(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_27,negated_conjecture,
    ~ empty_carrier(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_28,lemma,
    ! [X89,X90,X91] :
      ( empty_carrier(X89)
      | ~ one_sorted_str(X89)
      | empty_carrier(X90)
      | ~ transitive_relstr(X90)
      | ~ directed_relstr(X90)
      | ~ net_str(X90,X89)
      | ~ is_eventually_in(X89,X90,X91)
      | is_often_in(X89,X90,X91) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).

cnf(c_0_29,negated_conjecture,
    ( is_eventually_in(esk1_0,X1,X2)
    | empty_carrier(X1)
    | lim_points_of_net(esk1_0,esk2_0) != lim_points_of_net(esk1_0,X1)
    | ~ point_neighbourhood(X2,esk1_0,esk3_0)
    | ~ directed_relstr(X1)
    | ~ transitive_relstr(X1)
    | ~ net_str(X1,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25])]),c_0_26]),c_0_27]) ).

fof(c_0_30,plain,
    ! [X1] :
      ( ( ~ empty_carrier(X1)
        & topological_space(X1)
        & top_str(X1) )
     => ! [X2] :
          ( ( ~ empty_carrier(X2)
            & net_str(X2,X1) )
         => ! [X3] :
              ( element(X3,the_carrier(X1))
             => ( is_a_cluster_point_of_netstr(X1,X2,X3)
              <=> ! [X4] :
                    ( point_neighbourhood(X4,X1,X3)
                   => is_often_in(X1,X2,X4) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[d9_waybel_9]) ).

cnf(c_0_31,lemma,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | is_often_in(X1,X2,X3)
    | ~ one_sorted_str(X1)
    | ~ transitive_relstr(X2)
    | ~ directed_relstr(X2)
    | ~ net_str(X2,X1)
    | ~ is_eventually_in(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_32,negated_conjecture,
    ( is_eventually_in(esk1_0,esk2_0,X1)
    | ~ point_neighbourhood(X1,esk1_0,esk3_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_29]),c_0_23]),c_0_24]),c_0_25])]),c_0_26]) ).

fof(c_0_33,plain,
    ! [X24,X25,X26,X27] :
      ( ( ~ is_a_cluster_point_of_netstr(X24,X25,X26)
        | ~ point_neighbourhood(X27,X24,X26)
        | is_often_in(X24,X25,X27)
        | ~ element(X26,the_carrier(X24))
        | empty_carrier(X25)
        | ~ net_str(X25,X24)
        | empty_carrier(X24)
        | ~ topological_space(X24)
        | ~ top_str(X24) )
      & ( point_neighbourhood(esk4_3(X24,X25,X26),X24,X26)
        | is_a_cluster_point_of_netstr(X24,X25,X26)
        | ~ element(X26,the_carrier(X24))
        | empty_carrier(X25)
        | ~ net_str(X25,X24)
        | empty_carrier(X24)
        | ~ topological_space(X24)
        | ~ top_str(X24) )
      & ( ~ is_often_in(X24,X25,esk4_3(X24,X25,X26))
        | is_a_cluster_point_of_netstr(X24,X25,X26)
        | ~ element(X26,the_carrier(X24))
        | empty_carrier(X25)
        | ~ net_str(X25,X24)
        | empty_carrier(X24)
        | ~ topological_space(X24)
        | ~ top_str(X24) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])])]) ).

cnf(c_0_34,lemma,
    ( is_often_in(esk1_0,esk2_0,X1)
    | ~ point_neighbourhood(X1,esk1_0,esk3_0)
    | ~ one_sorted_str(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_31,c_0_32]),c_0_23]),c_0_24]),c_0_25])]),c_0_27]),c_0_26]) ).

cnf(c_0_35,plain,
    ( point_neighbourhood(esk4_3(X1,X2,X3),X1,X3)
    | is_a_cluster_point_of_netstr(X1,X2,X3)
    | empty_carrier(X2)
    | empty_carrier(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ net_str(X2,X1)
    | ~ topological_space(X1)
    | ~ top_str(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_36,negated_conjecture,
    element(esk3_0,the_carrier(esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_37,plain,
    ( is_a_cluster_point_of_netstr(X1,X2,X3)
    | empty_carrier(X2)
    | empty_carrier(X1)
    | ~ is_often_in(X1,X2,esk4_3(X1,X2,X3))
    | ~ element(X3,the_carrier(X1))
    | ~ net_str(X2,X1)
    | ~ topological_space(X1)
    | ~ top_str(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_38,lemma,
    ( is_a_cluster_point_of_netstr(esk1_0,X1,esk3_0)
    | is_often_in(esk1_0,esk2_0,esk4_3(esk1_0,X1,esk3_0))
    | empty_carrier(X1)
    | ~ net_str(X1,esk1_0)
    | ~ one_sorted_str(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_34,c_0_35]),c_0_21]),c_0_22]),c_0_36])]),c_0_27]) ).

cnf(c_0_39,negated_conjecture,
    ~ is_a_cluster_point_of_netstr(esk1_0,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_40,plain,
    ! [X79] :
      ( ~ top_str(X79)
      | one_sorted_str(X79) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_pre_topc])]) ).

cnf(c_0_41,lemma,
    ~ one_sorted_str(esk1_0),
    inference(sr,[status(thm)],[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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_21]),c_0_22]),c_0_36]),c_0_25])]),c_0_39]),c_0_27]),c_0_26]) ).

cnf(c_0_42,plain,
    ( one_sorted_str(X1)
    | ~ top_str(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_43,lemma,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_22])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.18  % Problem    : SEU386+2 : TPTP v8.1.2. Released v3.3.0.
% 0.18/0.19  % Command    : run_E %s %d THM
% 0.18/0.39  % Computer : n016.cluster.edu
% 0.18/0.39  % Model    : x86_64 x86_64
% 0.18/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.39  % Memory   : 8042.1875MB
% 0.18/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.39  % CPULimit   : 2400
% 0.18/0.39  % WCLimit    : 300
% 0.18/0.39  % DateTime   : Mon Oct  2 09:55:51 EDT 2023
% 0.18/0.39  % CPUTime    : 
% 0.23/0.57  Running first-order theorem proving
% 0.23/0.57  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.avS4QUJn84/E---3.1_14851.p
% 25.17/3.84  # Version: 3.1pre001
% 25.17/3.84  # Preprocessing class: FSLMSMSSSSSNFFN.
% 25.17/3.84  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 25.17/3.84  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 25.17/3.84  # Starting new_bool_3 with 600s (2) cores
% 25.17/3.84  # Starting new_bool_1 with 600s (2) cores
% 25.17/3.84  # Starting sh5l with 300s (1) cores
% 25.17/3.84  # new_bool_3 with pid 14931 completed with status 0
% 25.17/3.84  # Result found by new_bool_3
% 25.17/3.84  # Preprocessing class: FSLMSMSSSSSNFFN.
% 25.17/3.84  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 25.17/3.84  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 25.17/3.84  # Starting new_bool_3 with 600s (2) cores
% 25.17/3.84  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 25.17/3.84  # Search class: FGHSM-FSLM32-MFFFFFNN
% 25.17/3.84  # Scheduled 12 strats onto 2 cores with 600 seconds (600 total)
% 25.17/3.84  # Starting G-E--_303_C18_F1_URBAN_S0Y with 50s (1) cores
% 25.17/3.84  # Starting new_bool_3 with 61s (1) cores
% 25.17/3.84  # G-E--_303_C18_F1_URBAN_S0Y with pid 14934 completed with status 0
% 25.17/3.84  # Result found by G-E--_303_C18_F1_URBAN_S0Y
% 25.17/3.84  # Preprocessing class: FSLMSMSSSSSNFFN.
% 25.17/3.84  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 25.17/3.84  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 25.17/3.84  # Starting new_bool_3 with 600s (2) cores
% 25.17/3.84  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 25.17/3.84  # Search class: FGHSM-FSLM32-MFFFFFNN
% 25.17/3.84  # Scheduled 12 strats onto 2 cores with 600 seconds (600 total)
% 25.17/3.84  # Starting G-E--_303_C18_F1_URBAN_S0Y with 50s (1) cores
% 25.17/3.84  # Preprocessing time       : 0.009 s
% 25.17/3.84  
% 25.17/3.84  # Proof found!
% 25.17/3.84  # SZS status Theorem
% 25.17/3.84  # SZS output start CNFRefutation
% See solution above
% 25.17/3.84  # Parsed axioms                        : 856
% 25.17/3.84  # Removed by relevancy pruning/SinE    : 757
% 25.17/3.84  # Initial clauses                      : 324
% 25.17/3.84  # Removed in clause preprocessing      : 0
% 25.17/3.84  # Initial clauses in saturation        : 324
% 25.17/3.84  # Processed clauses                    : 3589
% 25.17/3.84  # ...of these trivial                  : 1
% 25.17/3.84  # ...subsumed                          : 1576
% 25.17/3.84  # ...remaining for further processing  : 2012
% 25.17/3.84  # Other redundant clauses eliminated   : 39
% 25.17/3.84  # Clauses deleted for lack of memory   : 0
% 25.17/3.84  # Backward-subsumed                    : 229
% 25.17/3.84  # Backward-rewritten                   : 17
% 25.17/3.84  # Generated clauses                    : 59062
% 25.17/3.84  # ...of the previous two non-redundant : 58589
% 25.17/3.84  # ...aggressively subsumed             : 0
% 25.17/3.84  # Contextual simplify-reflections      : 147
% 25.17/3.84  # Paramodulations                      : 58970
% 25.17/3.84  # Factorizations                       : 2
% 25.17/3.84  # NegExts                              : 0
% 25.17/3.84  # Equation resolutions                 : 90
% 25.17/3.84  # Total rewrite steps                  : 1579
% 25.17/3.84  # Propositional unsat checks           : 0
% 25.17/3.84  #    Propositional check models        : 0
% 25.17/3.84  #    Propositional check unsatisfiable : 0
% 25.17/3.84  #    Propositional clauses             : 0
% 25.17/3.84  #    Propositional clauses after purity: 0
% 25.17/3.84  #    Propositional unsat core size     : 0
% 25.17/3.84  #    Propositional preprocessing time  : 0.000
% 25.17/3.84  #    Propositional encoding time       : 0.000
% 25.17/3.84  #    Propositional solver time         : 0.000
% 25.17/3.84  #    Success case prop preproc time    : 0.000
% 25.17/3.84  #    Success case prop encoding time   : 0.000
% 25.17/3.84  #    Success case prop solver time     : 0.000
% 25.17/3.84  # Current number of processed clauses  : 1727
% 25.17/3.84  #    Positive orientable unit clauses  : 32
% 25.17/3.84  #    Positive unorientable unit clauses: 0
% 25.17/3.84  #    Negative unit clauses             : 32
% 25.17/3.84  #    Non-unit-clauses                  : 1663
% 25.17/3.84  # Current number of unprocessed clauses: 55111
% 25.17/3.84  # ...number of literals in the above   : 574168
% 25.17/3.84  # Current number of archived formulas  : 0
% 25.17/3.84  # Current number of archived clauses   : 246
% 25.17/3.84  # Clause-clause subsumption calls (NU) : 1202337
% 25.17/3.84  # Rec. Clause-clause subsumption calls : 106962
% 25.17/3.84  # Non-unit clause-clause subsumptions  : 1392
% 25.17/3.84  # Unit Clause-clause subsumption calls : 7154
% 25.17/3.84  # Rewrite failures with RHS unbound    : 0
% 25.17/3.84  # BW rewrite match attempts            : 34
% 25.17/3.84  # BW rewrite match successes           : 7
% 25.17/3.84  # Condensation attempts                : 0
% 25.17/3.84  # Condensation successes               : 0
% 25.17/3.84  # Termbank termtop insertions          : 2096381
% 25.17/3.84  
% 25.17/3.84  # -------------------------------------------------
% 25.17/3.84  # User time                : 3.129 s
% 25.17/3.84  # System time              : 0.073 s
% 25.17/3.84  # Total time               : 3.202 s
% 25.17/3.84  # Maximum resident set size: 3816 pages
% 25.17/3.84  
% 25.17/3.84  # -------------------------------------------------
% 25.17/3.84  # User time                : 6.340 s
% 25.17/3.84  # System time              : 0.078 s
% 25.17/3.84  # Total time               : 6.418 s
% 25.17/3.84  # Maximum resident set size: 2900 pages
% 25.17/3.84  % E---3.1 exiting
% 25.17/3.84  % E---3.1 exiting
%------------------------------------------------------------------------------