↑ Up

E---3.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SEU386+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 02:24:56 PM UTC 2026

% Result   : Theorem 0.50s 0.65s
% Output   : CNFRefutation 0.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   46 (  15 unt;   0 def)
%            Number of atoms       :  333 (  10 equ)
%            Maximal formula atoms :   81 (   7 avg)
%            Number of connectives :  445 ( 158   ~; 172   |;  69   &)
%                                         (   6 <=>;  40  =>;   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   :   87 (   0 sgn  60   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t29_waybel_9,conjecture,
    ! [X1] :
      ( ( top_str(X1)
        & topological_space(X1)
        & ~ empty_carrier(X1) )
     => ! [X2] :
          ( ( net_str(X2,X1)
            & directed_relstr(X2)
            & transitive_relstr(X2)
            & ~ empty_carrier(X2) )
         => ! [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/sandbox/benchmark/theBenchmark.p',t29_waybel_9) ).

fof(d18_yellow_6,axiom,
    ! [X1] :
      ( ( top_str(X1)
        & topological_space(X1)
        & ~ empty_carrier(X1) )
     => ! [X2] :
          ( ( net_str(X2,X1)
            & directed_relstr(X2)
            & transitive_relstr(X2)
            & ~ empty_carrier(X2) )
         => ! [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/sandbox/benchmark/theBenchmark.p',d18_yellow_6) ).

fof(dt_k11_yellow_6,axiom,
    ! [X1,X2] :
      ( ( net_str(X2,X1)
        & directed_relstr(X2)
        & transitive_relstr(X2)
        & ~ empty_carrier(X2)
        & top_str(X1)
        & topological_space(X1)
        & ~ empty_carrier(X1) )
     => element(lim_points_of_net(X1,X2),powerset(the_carrier(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_yellow_6) ).

fof(d9_waybel_9,axiom,
    ! [X1] :
      ( ( top_str(X1)
        & topological_space(X1)
        & ~ empty_carrier(X1) )
     => ! [X2] :
          ( ( net_str(X2,X1)
            & ~ empty_carrier(X2) )
         => ! [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/sandbox/benchmark/theBenchmark.p',d9_waybel_9) ).

fof(t4_subset,axiom,
    ! [X1,X2,X3] :
      ( ( element(X2,powerset(X3))
        & in(X1,X2) )
     => element(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).

fof(t28_yellow_6,axiom,
    ! [X1] :
      ( ( one_sorted_str(X1)
        & ~ empty_carrier(X1) )
     => ! [X2] :
          ( ( net_str(X2,X1)
            & directed_relstr(X2)
            & transitive_relstr(X2)
            & ~ empty_carrier(X2) )
         => ! [X3] :
              ( is_eventually_in(X1,X2,X3)
             => is_often_in(X1,X2,X3) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_yellow_6) ).

fof(dt_l1_pre_topc,axiom,
    ! [X1] :
      ( top_str(X1)
     => one_sorted_str(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).

fof(c_0_7,negated_conjecture,
    ~ ! [X1] :
        ( ( top_str(X1)
          & topological_space(X1)
          & ~ empty_carrier(X1) )
       => ! [X2] :
            ( ( net_str(X2,X1)
              & directed_relstr(X2)
              & transitive_relstr(X2)
              & ~ empty_carrier(X2) )
           => ! [X3] :
                ( element(X3,the_carrier(X1))
               => ( in(X3,lim_points_of_net(X1,X2))
                 => is_a_cluster_point_of_netstr(X1,X2,X3) ) ) ) ),
    inference(assume_negation,[status(cth)],[t29_waybel_9]) ).

fof(c_0_8,plain,
    ! [X1] :
      ( ( top_str(X1)
        & topological_space(X1)
        & ~ empty_carrier(X1) )
     => ! [X2] :
          ( ( net_str(X2,X1)
            & directed_relstr(X2)
            & transitive_relstr(X2)
            & ~ empty_carrier(X2) )
         => ! [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_9,plain,
    ! [X1,X2] :
      ( ( net_str(X2,X1)
        & directed_relstr(X2)
        & transitive_relstr(X2)
        & ~ empty_carrier(X2)
        & top_str(X1)
        & topological_space(X1)
        & ~ empty_carrier(X1) )
     => element(lim_points_of_net(X1,X2),powerset(the_carrier(X1))) ),
    inference(fof_simplification,[status(thm)],[dt_k11_yellow_6]) ).

fof(c_0_10,plain,
    ! [X1] :
      ( ( top_str(X1)
        & topological_space(X1)
        & ~ empty_carrier(X1) )
     => ! [X2] :
          ( ( net_str(X2,X1)
            & ~ empty_carrier(X2) )
         => ! [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]) ).

fof(c_0_11,negated_conjecture,
    ~ ! [X1] :
        ( ( top_str(X1)
          & topological_space(X1)
          & ~ empty_carrier(X1) )
       => ! [X2] :
            ( ( net_str(X2,X1)
              & directed_relstr(X2)
              & transitive_relstr(X2)
              & ~ empty_carrier(X2) )
           => ! [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)],[c_0_7]) ).

fof(c_0_12,plain,
    ! [X14,X15,X16,X17,X18,X22] :
      ( ( ~ top_str(X14)
        | ~ topological_space(X14)
        | empty_carrier(X14)
        | ~ net_str(X15,X14)
        | ~ directed_relstr(X15)
        | ~ transitive_relstr(X15)
        | empty_carrier(X15)
        | ~ element(X16,powerset(the_carrier(X14)))
        | X16 = lim_points_of_net(X14,X15)
        | is_eventually_in(X14,X15,X22)
        | ~ point_neighbourhood(X22,X14,esk2_3(X14,X15,X16))
        | in(esk2_3(X14,X15,X16),X16) )
      & ( ~ top_str(X14)
        | ~ topological_space(X14)
        | empty_carrier(X14)
        | ~ net_str(X15,X14)
        | ~ directed_relstr(X15)
        | ~ transitive_relstr(X15)
        | empty_carrier(X15)
        | ~ element(X16,powerset(the_carrier(X14)))
        | X16 = lim_points_of_net(X14,X15)
        | ~ in(esk2_3(X14,X15,X16),X16)
        | ~ is_eventually_in(X14,X15,esk3_3(X14,X15,X16)) )
      & ( ~ top_str(X14)
        | ~ topological_space(X14)
        | empty_carrier(X14)
        | ~ net_str(X15,X14)
        | ~ directed_relstr(X15)
        | ~ transitive_relstr(X15)
        | empty_carrier(X15)
        | ~ element(X16,powerset(the_carrier(X14)))
        | X16 = lim_points_of_net(X14,X15)
        | ~ in(esk2_3(X14,X15,X16),X16)
        | point_neighbourhood(esk3_3(X14,X15,X16),X14,esk2_3(X14,X15,X16)) )
      & ( ~ top_str(X14)
        | ~ topological_space(X14)
        | empty_carrier(X14)
        | ~ net_str(X15,X14)
        | ~ directed_relstr(X15)
        | ~ transitive_relstr(X15)
        | empty_carrier(X15)
        | ~ element(X16,powerset(the_carrier(X14)))
        | X16 = lim_points_of_net(X14,X15)
        | element(esk2_3(X14,X15,X16),the_carrier(X14)) )
      & ( ~ top_str(X14)
        | ~ topological_space(X14)
        | empty_carrier(X14)
        | ~ net_str(X15,X14)
        | ~ directed_relstr(X15)
        | ~ transitive_relstr(X15)
        | empty_carrier(X15)
        | ~ element(X16,powerset(the_carrier(X14)))
        | X16 != lim_points_of_net(X14,X15)
        | ~ element(X17,the_carrier(X14))
        | in(X17,X16)
        | ~ is_eventually_in(X14,X15,esk1_4(X14,X15,X16,X17)) )
      & ( ~ top_str(X14)
        | ~ topological_space(X14)
        | empty_carrier(X14)
        | ~ net_str(X15,X14)
        | ~ directed_relstr(X15)
        | ~ transitive_relstr(X15)
        | empty_carrier(X15)
        | ~ element(X16,powerset(the_carrier(X14)))
        | X16 != lim_points_of_net(X14,X15)
        | ~ element(X17,the_carrier(X14))
        | in(X17,X16)
        | point_neighbourhood(esk1_4(X14,X15,X16,X17),X14,X17) )
      & ( ~ top_str(X14)
        | ~ topological_space(X14)
        | empty_carrier(X14)
        | ~ net_str(X15,X14)
        | ~ directed_relstr(X15)
        | ~ transitive_relstr(X15)
        | empty_carrier(X15)
        | ~ element(X16,powerset(the_carrier(X14)))
        | X16 != lim_points_of_net(X14,X15)
        | ~ element(X17,the_carrier(X14))
        | is_eventually_in(X14,X15,X18)
        | ~ point_neighbourhood(X18,X14,X17)
        | ~ in(X17,X16) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])])]) ).

fof(c_0_13,plain,
    ! [X72,X73,X74] :
      ( element(X72,X74)
      | ~ element(X73,powerset(X74))
      | ~ in(X72,X73) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])])]) ).

fof(c_0_14,plain,
    ! [X28,X29] :
      ( element(lim_points_of_net(X28,X29),powerset(the_carrier(X28)))
      | ~ net_str(X29,X28)
      | ~ directed_relstr(X29)
      | ~ transitive_relstr(X29)
      | empty_carrier(X29)
      | ~ top_str(X28)
      | ~ topological_space(X28)
      | empty_carrier(X28) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).

fof(c_0_15,plain,
    ! [X23,X24,X25,X26] :
      ( ( ~ top_str(X23)
        | ~ topological_space(X23)
        | empty_carrier(X23)
        | ~ net_str(X24,X23)
        | empty_carrier(X24)
        | ~ element(X25,the_carrier(X23))
        | is_a_cluster_point_of_netstr(X23,X24,X25)
        | ~ is_often_in(X23,X24,esk4_3(X23,X24,X25)) )
      & ( ~ top_str(X23)
        | ~ topological_space(X23)
        | empty_carrier(X23)
        | ~ net_str(X24,X23)
        | empty_carrier(X24)
        | ~ element(X25,the_carrier(X23))
        | is_a_cluster_point_of_netstr(X23,X24,X25)
        | point_neighbourhood(esk4_3(X23,X24,X25),X23,X25) )
      & ( ~ top_str(X23)
        | ~ topological_space(X23)
        | empty_carrier(X23)
        | ~ net_str(X24,X23)
        | empty_carrier(X24)
        | ~ element(X25,the_carrier(X23))
        | is_often_in(X23,X24,X26)
        | ~ point_neighbourhood(X26,X23,X25)
        | ~ is_a_cluster_point_of_netstr(X23,X24,X25) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])])]) ).

fof(c_0_16,negated_conjecture,
    ( ~ is_a_cluster_point_of_netstr(esk18_0,esk19_0,esk20_0)
    & in(esk20_0,lim_points_of_net(esk18_0,esk19_0))
    & element(esk20_0,the_carrier(esk18_0))
    & net_str(esk19_0,esk18_0)
    & directed_relstr(esk19_0)
    & transitive_relstr(esk19_0)
    & ~ empty_carrier(esk19_0)
    & top_str(esk18_0)
    & topological_space(esk18_0)
    & ~ empty_carrier(esk18_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).

cnf(c_0_17,plain,
    ( ~ top_str(X4)
    | ~ topological_space(X4)
    | ~ net_str(X5,X4)
    | ~ directed_relstr(X5)
    | ~ transitive_relstr(X5)
    | ~ element(X2,powerset(the_carrier(X4)))
    | X2 != lim_points_of_net(X4,X5)
    | ~ element(X1,the_carrier(X4))
    | ~ point_neighbourhood(X3,X4,X1)
    | ~ in(X1,X2)
    | empty_carrier(X4)
    | empty_carrier(X5)
    | is_eventually_in(X4,X5,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_18,plain,
    ( ~ element(X2,powerset(X3))
    | ~ in(X1,X2)
    | element(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,plain,
    ( ~ net_str(X2,X1)
    | ~ directed_relstr(X2)
    | ~ transitive_relstr(X2)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | element(lim_points_of_net(X1,X2),powerset(the_carrier(X1)))
    | empty_carrier(X2)
    | empty_carrier(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,plain,
    ( ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ net_str(X2,X1)
    | ~ element(X3,the_carrier(X1))
    | empty_carrier(X1)
    | empty_carrier(X2)
    | is_a_cluster_point_of_netstr(X1,X2,X3)
    | point_neighbourhood(esk4_3(X1,X2,X3),X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_21,negated_conjecture,
    element(esk20_0,the_carrier(esk18_0)),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_22,negated_conjecture,
    top_str(esk18_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_23,negated_conjecture,
    topological_space(esk18_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_24,negated_conjecture,
    ~ empty_carrier(esk18_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_25,plain,
    ! [X1] :
      ( ( one_sorted_str(X1)
        & ~ empty_carrier(X1) )
     => ! [X2] :
          ( ( net_str(X2,X1)
            & directed_relstr(X2)
            & transitive_relstr(X2)
            & ~ empty_carrier(X2) )
         => ! [X3] :
              ( is_eventually_in(X1,X2,X3)
             => is_often_in(X1,X2,X3) ) ) ),
    inference(fof_simplification,[status(thm)],[t28_yellow_6]) ).

cnf(c_0_26,plain,
    ( ~ in(X4,lim_points_of_net(X1,X2))
    | ~ topological_space(X1)
    | ~ top_str(X1)
    | ~ transitive_relstr(X2)
    | ~ directed_relstr(X2)
    | ~ net_str(X2,X1)
    | ~ point_neighbourhood(X3,X1,X4)
    | empty_carrier(X1)
    | empty_carrier(X2)
    | is_eventually_in(X1,X2,X3) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(csr,[status(thm)],[c_0_17,c_0_18])]),c_0_19]) ).

cnf(c_0_27,negated_conjecture,
    in(esk20_0,lim_points_of_net(esk18_0,esk19_0)),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_28,negated_conjecture,
    net_str(esk19_0,esk18_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_29,negated_conjecture,
    directed_relstr(esk19_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_30,negated_conjecture,
    transitive_relstr(esk19_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_31,negated_conjecture,
    ~ empty_carrier(esk19_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_32,negated_conjecture,
    ( ~ net_str(X1,esk18_0)
    | empty_carrier(X1)
    | point_neighbourhood(esk4_3(esk18_0,X1,esk20_0),esk18_0,esk20_0)
    | is_a_cluster_point_of_netstr(esk18_0,X1,esk20_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23])]),c_0_24]) ).

cnf(c_0_33,negated_conjecture,
    ~ is_a_cluster_point_of_netstr(esk18_0,esk19_0,esk20_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_34,plain,
    ( ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ net_str(X2,X1)
    | ~ element(X3,the_carrier(X1))
    | ~ is_often_in(X1,X2,esk4_3(X1,X2,X3))
    | empty_carrier(X1)
    | empty_carrier(X2)
    | is_a_cluster_point_of_netstr(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_35,plain,
    ! [X62,X63,X64] :
      ( is_often_in(X62,X63,X64)
      | ~ is_eventually_in(X62,X63,X64)
      | ~ net_str(X63,X62)
      | ~ directed_relstr(X63)
      | ~ transitive_relstr(X63)
      | empty_carrier(X63)
      | ~ one_sorted_str(X62)
      | empty_carrier(X62) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])]) ).

cnf(c_0_36,negated_conjecture,
    ( ~ point_neighbourhood(X1,esk18_0,esk20_0)
    | is_eventually_in(esk18_0,esk19_0,X1) ),
    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_26,c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_22]),c_0_23])]),c_0_24]),c_0_31]) ).

cnf(c_0_37,negated_conjecture,
    point_neighbourhood(esk4_3(esk18_0,esk19_0,esk20_0),esk18_0,esk20_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_28]),c_0_33]),c_0_31]) ).

cnf(c_0_38,negated_conjecture,
    ( ~ net_str(X1,esk18_0)
    | ~ is_often_in(esk18_0,X1,esk4_3(esk18_0,X1,esk20_0))
    | empty_carrier(X1)
    | is_a_cluster_point_of_netstr(esk18_0,X1,esk20_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_21]),c_0_22]),c_0_23])]),c_0_24]) ).

cnf(c_0_39,plain,
    ( ~ is_eventually_in(X1,X2,X3)
    | ~ net_str(X2,X1)
    | ~ directed_relstr(X2)
    | ~ transitive_relstr(X2)
    | ~ one_sorted_str(X1)
    | is_often_in(X1,X2,X3)
    | empty_carrier(X2)
    | empty_carrier(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_40,negated_conjecture,
    is_eventually_in(esk18_0,esk19_0,esk4_3(esk18_0,esk19_0,esk20_0)),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_41,negated_conjecture,
    ~ is_often_in(esk18_0,esk19_0,esk4_3(esk18_0,esk19_0,esk20_0)),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_28]),c_0_33]),c_0_31]) ).

fof(c_0_42,plain,
    ! [X31] :
      ( one_sorted_str(X31)
      | ~ top_str(X31) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_pre_topc])])]) ).

cnf(c_0_43,negated_conjecture,
    ~ one_sorted_str(esk18_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(spm,[status(thm)],[c_0_39,c_0_40]),c_0_28]),c_0_29]),c_0_30])]),c_0_41]),c_0_31]),c_0_24]) ).

cnf(c_0_44,plain,
    ( ~ top_str(X1)
    | one_sorted_str(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_45,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_22])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SEU386+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.45  % Computer : n017.cluster.edu
% 0.18/0.45  % Model    : x86_64 x86_64
% 0.18/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45  % Memory   : 8046.5625MB
% 0.18/0.45  % OS       : Linux 6.8.0-71-generic
% 0.18/0.45  % CPULimit : 300
% 0.18/0.45  % WCLimit  : 300
% 0.18/0.45  % DateTime : Mon Sep 21 06:13:45 UTC 2026
% 0.18/0.45  % CPUTime  : 
% 0.18/0.45  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.55  Running first-order theorem proving
% 0.26/0.55  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/benchmark/theBenchmark.p
% 0.50/0.65  % Version: 3.5.1
% 0.50/0.65  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.50/0.65  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.50/0.65  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.50/0.65  % Starting new_bool_3 with 300s (1) cores
% 0.50/0.65  % Starting new_bool_1 with 300s (1) cores
% 0.50/0.65  % Starting sh5l with 300s (1) cores
% 0.50/0.65  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1608798 completed with status 0
% 0.50/0.65  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.50/0.65  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.50/0.65  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.50/0.65  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.50/0.65  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.50/0.65  % No SInE strategy applied
% 0.50/0.65  % Search class: FGHSM-FFMM31-SFFFFFNN
% 0.50/0.65  % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.50/0.65  % Starting SubtermCWHack with 136s (1) cores
% 0.50/0.65  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.50/0.65  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 136s (1) cores
% 0.50/0.65  % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.50/0.65  % Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.50/0.65  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1608804 completed with status 0
% 0.50/0.65  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.50/0.65  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.50/0.65  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.50/0.65  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.50/0.65  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.50/0.65  % No SInE strategy applied
% 0.50/0.65  % Search class: FGHSM-FFMM31-SFFFFFNN
% 0.50/0.65  % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.50/0.65  % Starting SubtermCWHack with 136s (1) cores
% 0.50/0.65  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.50/0.65  % Preprocessing time       : 0.002 s
% 0.50/0.65  % Presaturation interreduction done
% 0.50/0.65  
% 0.50/0.65  % Proof found!
% 0.50/0.65  % SZS status Theorem
% 0.50/0.65  % SZS output start CNFRefutation
% See solution above
% 0.50/0.66  % Parsed axioms                        : 45
% 0.50/0.66  % Removed by relevancy pruning/SinE    : 0
% 0.50/0.66  % Initial clauses                      : 74
% 0.50/0.66  % Removed in clause preprocessing      : 5
% 0.50/0.66  % Initial clauses in saturation        : 69
% 0.50/0.66  % Processed clauses                    : 467
% 0.50/0.66  % ...of these trivial                  : 0
% 0.50/0.66  % ...subsumed                          : 226
% 0.50/0.66  % ...remaining for further processing  : 241
% 0.50/0.66  % Other redundant clauses eliminated   : 3
% 0.50/0.66  % Clauses deleted for lack of memory   : 0
% 0.50/0.66  % Backward-subsumed                    : 1
% 0.50/0.66  % Backward-rewritten                   : 3
% 0.50/0.66  % Generated clauses                    : 658
% 0.50/0.66  % ...of the previous two non-redundant : 622
% 0.50/0.66  % ...aggressively subsumed             : 0
% 0.50/0.66  % Contextual simplify-reflections      : 5
% 0.50/0.66  % Paramodulations                      : 655
% 0.50/0.66  % Factorizations                       : 0
% 0.50/0.66  % NegExts                              : 0
% 0.50/0.66  % Equation resolutions                 : 3
% 0.50/0.66  % Disequality decompositions           : 0
% 0.50/0.66  % Total rewrite steps                  : 99
% 0.50/0.66  % ...of those cached                   : 79
% 0.50/0.66  % Propositional unsat checks           : 0
% 0.50/0.66  %    Propositional check models        : 0
% 0.50/0.66  %    Propositional check unsatisfiable : 0
% 0.50/0.66  %    Propositional clauses             : 0
% 0.50/0.66  %    Propositional clauses after purity: 0
% 0.50/0.66  %    Propositional unsat core size     : 0
% 0.50/0.66  %    Propositional preprocessing time  : 0.000
% 0.50/0.66  %    Propositional encoding time       : 0.000
% 0.50/0.66  %    Propositional solver time         : 0.000
% 0.50/0.66  %    Success case prop preproc time    : 0.000
% 0.50/0.66  %    Success case prop encoding time   : 0.000
% 0.50/0.66  %    Success case prop solver time     : 0.000
% 0.50/0.66  % Current number of processed clauses  : 165
% 0.50/0.66  %    Positive orientable unit clauses  : 38
% 0.50/0.66  %    Positive unorientable unit clauses: 0
% 0.50/0.66  %    Negative unit clauses             : 14
% 0.50/0.66  %    Non-unit-clauses                  : 113
% 0.50/0.66  % Current number of unprocessed clauses: 291
% 0.50/0.66  % ...number of literals in the above   : 1848
% 0.50/0.66  % Current number of archived formulas  : 0
% 0.50/0.66  % Current number of archived clauses   : 73
% 0.50/0.66  % Clause-clause subsumption calls (NU) : 7493
% 0.50/0.66  % Rec. Clause-clause subsumption calls : 3347
% 0.50/0.66  % Non-unit clause-clause subsumptions  : 134
% 0.50/0.66  % Unit Clause-clause subsumption calls : 146
% 0.50/0.66  % Rewrite failures with RHS unbound    : 0
% 0.50/0.66  % BW rewrite match attempts            : 16
% 0.50/0.66  % BW rewrite match successes           : 3
% 0.50/0.66  % Condensation attempts                : 0
% 0.50/0.66  % Condensation successes               : 0
% 0.50/0.66  % Termbank termtop insertions          : 15208
% 0.50/0.66  % Search garbage collected termcells   : 1098
% 0.50/0.66  
% 0.50/0.66  % -------------------------------------------------
% 0.50/0.66  % User time                : 0.035 s
% 0.50/0.66  % System time              : 0.005 s
% 0.50/0.66  % Total time               : 0.040 s
% 0.50/0.66  % Maximum resident set size: 3880 pages
% 0.50/0.66  
% 0.50/0.66  % -------------------------------------------------
% 0.50/0.66  % User time                : 0.096 s
% 0.50/0.66  % System time              : 0.023 s
% 0.50/0.66  % Total time               : 0.119 s
% 0.50/0.66  % Maximum resident set size: 4864 pages
% 0.50/0.66  % E exiting
%------------------------------------------------------------------------------