TSTP Solution File: SEU384+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SEU384+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n020.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 : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 16:25:19 EDT 2023

% Result   : Theorem 7.83s 7.94s
% Output   : CNFRefutation 7.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   66
% Syntax   : Number of formulae    :  132 (  14 unt;  61 typ;   0 def)
%            Number of atoms       :  463 (  70 equ)
%            Maximal formula atoms :  110 (   6 avg)
%            Number of connectives :  630 ( 238   ~; 307   |;  59   &)
%                                         (   7 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   30 (   6 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   96 (  48   >;  48   *;   0   +;   0  <<)
%            Number of predicates  :   23 (  21 usr;   1 prp; 0-3 aty)
%            Number of functors    :   40 (  40 usr;  13 con; 0-5 aty)
%            Number of variables   :  150 (   0 sgn;  51   !;   4   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    one_sorted_str: $i > $o ).

tff(decl_23,type,
    net_str: ( $i * $i ) > $o ).

tff(decl_24,type,
    strict_net_str: ( $i * $i ) > $o ).

tff(decl_25,type,
    the_carrier: $i > $i ).

tff(decl_26,type,
    the_InternalRel: $i > $i ).

tff(decl_27,type,
    the_mapping: ( $i * $i ) > $i ).

tff(decl_28,type,
    net_str_of: ( $i * $i * $i * $i ) > $i ).

tff(decl_29,type,
    in: ( $i * $i ) > $o ).

tff(decl_30,type,
    empty: $i > $o ).

tff(decl_31,type,
    finite: $i > $o ).

tff(decl_32,type,
    preboolean: $i > $o ).

tff(decl_33,type,
    cup_closed: $i > $o ).

tff(decl_34,type,
    diff_closed: $i > $o ).

tff(decl_35,type,
    function: $i > $o ).

tff(decl_36,type,
    relation_of2: ( $i * $i * $i ) > $o ).

tff(decl_37,type,
    v1_partfun1: ( $i * $i * $i ) > $o ).

tff(decl_38,type,
    quasi_total: ( $i * $i * $i ) > $o ).

tff(decl_39,type,
    cartesian_product2: ( $i * $i ) > $i ).

tff(decl_40,type,
    powerset: $i > $i ).

tff(decl_41,type,
    element: ( $i * $i ) > $o ).

tff(decl_42,type,
    relation: $i > $o ).

tff(decl_43,type,
    one_to_one: $i > $o ).

tff(decl_44,type,
    subset: ( $i * $i ) > $o ).

tff(decl_45,type,
    empty_carrier: $i > $o ).

tff(decl_46,type,
    netstr_restr_to_element: ( $i * $i * $i ) > $i ).

tff(decl_47,type,
    related: ( $i * $i * $i ) > $o ).

tff(decl_48,type,
    relation_restriction_as_relation_of: ( $i * $i ) > $i ).

tff(decl_49,type,
    partfun_dom_restriction: ( $i * $i * $i * $i ) > $i ).

tff(decl_50,type,
    relation_of2_as_subset: ( $i * $i * $i ) > $o ).

tff(decl_51,type,
    relation_restriction: ( $i * $i ) > $i ).

tff(decl_52,type,
    relation_dom_restriction: ( $i * $i ) > $i ).

tff(decl_53,type,
    rel_str: $i > $o ).

tff(decl_54,type,
    empty_set: $i ).

tff(decl_55,type,
    a_3_0_waybel_9: ( $i * $i * $i ) > $i ).

tff(decl_56,type,
    esk1_2: ( $i * $i ) > $i ).

tff(decl_57,type,
    esk2_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_58,type,
    esk3_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_59,type,
    esk4_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_60,type,
    esk5_0: $i ).

tff(decl_61,type,
    esk6_0: $i ).

tff(decl_62,type,
    esk7_1: $i > $i ).

tff(decl_63,type,
    esk8_2: ( $i * $i ) > $i ).

tff(decl_64,type,
    esk9_1: $i > $i ).

tff(decl_65,type,
    esk10_2: ( $i * $i ) > $i ).

tff(decl_66,type,
    esk11_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_67,type,
    esk12_0: $i ).

tff(decl_68,type,
    esk13_0: $i ).

tff(decl_69,type,
    esk14_2: ( $i * $i ) > $i ).

tff(decl_70,type,
    esk15_0: $i ).

tff(decl_71,type,
    esk16_0: $i ).

tff(decl_72,type,
    esk17_0: $i ).

tff(decl_73,type,
    esk18_1: $i > $i ).

tff(decl_74,type,
    esk19_0: $i ).

tff(decl_75,type,
    esk20_0: $i ).

tff(decl_76,type,
    esk21_1: $i > $i ).

tff(decl_77,type,
    esk22_1: $i > $i ).

tff(decl_78,type,
    esk23_1: $i > $i ).

tff(decl_79,type,
    esk24_0: $i ).

tff(decl_80,type,
    esk25_0: $i ).

tff(decl_81,type,
    esk26_0: $i ).

tff(decl_82,type,
    esk27_2: ( $i * $i ) > $i ).

fof(d7_waybel_9,axiom,
    ! [X1] :
      ( ( ~ empty_carrier(X1)
        & one_sorted_str(X1) )
     => ! [X2] :
          ( ( ~ empty_carrier(X2)
            & net_str(X2,X1) )
         => ! [X3] :
              ( element(X3,the_carrier(X2))
             => ! [X4] :
                  ( ( strict_net_str(X4,X1)
                    & net_str(X4,X1) )
                 => ( X4 = netstr_restr_to_element(X1,X2,X3)
                  <=> ( ! [X5] :
                          ( in(X5,the_carrier(X4))
                        <=> ? [X6] :
                              ( element(X6,the_carrier(X2))
                              & X6 = X5
                              & related(X2,X3,X6) ) )
                      & the_InternalRel(X4) = relation_restriction_as_relation_of(the_InternalRel(X2),the_carrier(X4))
                      & the_mapping(X1,X4) = partfun_dom_restriction(the_carrier(X2),the_carrier(X1),the_mapping(X1,X2),the_carrier(X4)) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_waybel_9) ).

fof(dt_k5_waybel_9,axiom,
    ! [X1,X2,X3] :
      ( ( ~ empty_carrier(X1)
        & one_sorted_str(X1)
        & ~ empty_carrier(X2)
        & net_str(X2,X1)
        & element(X3,the_carrier(X2)) )
     => ( strict_net_str(netstr_restr_to_element(X1,X2,X3),X1)
        & net_str(netstr_restr_to_element(X1,X2,X3),X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_waybel_9) ).

fof(fraenkel_a_3_0_waybel_9,axiom,
    ! [X1,X2,X3,X4] :
      ( ( ~ empty_carrier(X2)
        & one_sorted_str(X2)
        & ~ empty_carrier(X3)
        & net_str(X3,X2)
        & element(X4,the_carrier(X3)) )
     => ( in(X1,a_3_0_waybel_9(X2,X3,X4))
      <=> ? [X5] :
            ( element(X5,the_carrier(X3))
            & X1 = X5
            & related(X3,X4,X5) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_3_0_waybel_9) ).

fof(t12_waybel_9,conjecture,
    ! [X1] :
      ( ( ~ empty_carrier(X1)
        & one_sorted_str(X1) )
     => ! [X2] :
          ( ( ~ empty_carrier(X2)
            & net_str(X2,X1) )
         => ! [X3] :
              ( element(X3,the_carrier(X2))
             => the_carrier(netstr_restr_to_element(X1,X2,X3)) = a_3_0_waybel_9(X1,X2,X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_waybel_9) ).

fof(t2_tarski,axiom,
    ! [X1,X2] :
      ( ! [X3] :
          ( in(X3,X1)
        <=> in(X3,X2) )
     => X1 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).

fof(c_0_5,plain,
    ! [X1] :
      ( ( ~ empty_carrier(X1)
        & one_sorted_str(X1) )
     => ! [X2] :
          ( ( ~ empty_carrier(X2)
            & net_str(X2,X1) )
         => ! [X3] :
              ( element(X3,the_carrier(X2))
             => ! [X4] :
                  ( ( strict_net_str(X4,X1)
                    & net_str(X4,X1) )
                 => ( X4 = netstr_restr_to_element(X1,X2,X3)
                  <=> ( ! [X5] :
                          ( in(X5,the_carrier(X4))
                        <=> ? [X6] :
                              ( element(X6,the_carrier(X2))
                              & X6 = X5
                              & related(X2,X3,X6) ) )
                      & the_InternalRel(X4) = relation_restriction_as_relation_of(the_InternalRel(X2),the_carrier(X4))
                      & the_mapping(X1,X4) = partfun_dom_restriction(the_carrier(X2),the_carrier(X1),the_mapping(X1,X2),the_carrier(X4)) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[d7_waybel_9]) ).

fof(c_0_6,plain,
    ! [X1,X2,X3] :
      ( ( ~ empty_carrier(X1)
        & one_sorted_str(X1)
        & ~ empty_carrier(X2)
        & net_str(X2,X1)
        & element(X3,the_carrier(X2)) )
     => ( strict_net_str(netstr_restr_to_element(X1,X2,X3),X1)
        & net_str(netstr_restr_to_element(X1,X2,X3),X1) ) ),
    inference(fof_simplification,[status(thm)],[dt_k5_waybel_9]) ).

fof(c_0_7,plain,
    ! [X1,X2,X3,X4] :
      ( ( ~ empty_carrier(X2)
        & one_sorted_str(X2)
        & ~ empty_carrier(X3)
        & net_str(X3,X2)
        & element(X4,the_carrier(X3)) )
     => ( in(X1,a_3_0_waybel_9(X2,X3,X4))
      <=> ? [X5] :
            ( element(X5,the_carrier(X3))
            & X1 = X5
            & related(X3,X4,X5) ) ) ),
    inference(fof_simplification,[status(thm)],[fraenkel_a_3_0_waybel_9]) ).

fof(c_0_8,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ empty_carrier(X1)
          & one_sorted_str(X1) )
       => ! [X2] :
            ( ( ~ empty_carrier(X2)
              & net_str(X2,X1) )
           => ! [X3] :
                ( element(X3,the_carrier(X2))
               => the_carrier(netstr_restr_to_element(X1,X2,X3)) = a_3_0_waybel_9(X1,X2,X3) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t12_waybel_9])]) ).

fof(c_0_9,plain,
    ! [X40,X41,X42,X43,X44,X46,X47,X49] :
      ( ( element(esk2_5(X40,X41,X42,X43,X44),the_carrier(X41))
        | ~ in(X44,the_carrier(X43))
        | X43 != netstr_restr_to_element(X40,X41,X42)
        | ~ strict_net_str(X43,X40)
        | ~ net_str(X43,X40)
        | ~ element(X42,the_carrier(X41))
        | empty_carrier(X41)
        | ~ net_str(X41,X40)
        | empty_carrier(X40)
        | ~ one_sorted_str(X40) )
      & ( esk2_5(X40,X41,X42,X43,X44) = X44
        | ~ in(X44,the_carrier(X43))
        | X43 != netstr_restr_to_element(X40,X41,X42)
        | ~ strict_net_str(X43,X40)
        | ~ net_str(X43,X40)
        | ~ element(X42,the_carrier(X41))
        | empty_carrier(X41)
        | ~ net_str(X41,X40)
        | empty_carrier(X40)
        | ~ one_sorted_str(X40) )
      & ( related(X41,X42,esk2_5(X40,X41,X42,X43,X44))
        | ~ in(X44,the_carrier(X43))
        | X43 != netstr_restr_to_element(X40,X41,X42)
        | ~ strict_net_str(X43,X40)
        | ~ net_str(X43,X40)
        | ~ element(X42,the_carrier(X41))
        | empty_carrier(X41)
        | ~ net_str(X41,X40)
        | empty_carrier(X40)
        | ~ one_sorted_str(X40) )
      & ( ~ element(X47,the_carrier(X41))
        | X47 != X46
        | ~ related(X41,X42,X47)
        | in(X46,the_carrier(X43))
        | X43 != netstr_restr_to_element(X40,X41,X42)
        | ~ strict_net_str(X43,X40)
        | ~ net_str(X43,X40)
        | ~ element(X42,the_carrier(X41))
        | empty_carrier(X41)
        | ~ net_str(X41,X40)
        | empty_carrier(X40)
        | ~ one_sorted_str(X40) )
      & ( the_InternalRel(X43) = relation_restriction_as_relation_of(the_InternalRel(X41),the_carrier(X43))
        | X43 != netstr_restr_to_element(X40,X41,X42)
        | ~ strict_net_str(X43,X40)
        | ~ net_str(X43,X40)
        | ~ element(X42,the_carrier(X41))
        | empty_carrier(X41)
        | ~ net_str(X41,X40)
        | empty_carrier(X40)
        | ~ one_sorted_str(X40) )
      & ( the_mapping(X40,X43) = partfun_dom_restriction(the_carrier(X41),the_carrier(X40),the_mapping(X40,X41),the_carrier(X43))
        | X43 != netstr_restr_to_element(X40,X41,X42)
        | ~ strict_net_str(X43,X40)
        | ~ net_str(X43,X40)
        | ~ element(X42,the_carrier(X41))
        | empty_carrier(X41)
        | ~ net_str(X41,X40)
        | empty_carrier(X40)
        | ~ one_sorted_str(X40) )
      & ( ~ in(esk3_4(X40,X41,X42,X43),the_carrier(X43))
        | ~ element(X49,the_carrier(X41))
        | X49 != esk3_4(X40,X41,X42,X43)
        | ~ related(X41,X42,X49)
        | the_InternalRel(X43) != relation_restriction_as_relation_of(the_InternalRel(X41),the_carrier(X43))
        | the_mapping(X40,X43) != partfun_dom_restriction(the_carrier(X41),the_carrier(X40),the_mapping(X40,X41),the_carrier(X43))
        | X43 = netstr_restr_to_element(X40,X41,X42)
        | ~ strict_net_str(X43,X40)
        | ~ net_str(X43,X40)
        | ~ element(X42,the_carrier(X41))
        | empty_carrier(X41)
        | ~ net_str(X41,X40)
        | empty_carrier(X40)
        | ~ one_sorted_str(X40) )
      & ( element(esk4_4(X40,X41,X42,X43),the_carrier(X41))
        | in(esk3_4(X40,X41,X42,X43),the_carrier(X43))
        | the_InternalRel(X43) != relation_restriction_as_relation_of(the_InternalRel(X41),the_carrier(X43))
        | the_mapping(X40,X43) != partfun_dom_restriction(the_carrier(X41),the_carrier(X40),the_mapping(X40,X41),the_carrier(X43))
        | X43 = netstr_restr_to_element(X40,X41,X42)
        | ~ strict_net_str(X43,X40)
        | ~ net_str(X43,X40)
        | ~ element(X42,the_carrier(X41))
        | empty_carrier(X41)
        | ~ net_str(X41,X40)
        | empty_carrier(X40)
        | ~ one_sorted_str(X40) )
      & ( esk4_4(X40,X41,X42,X43) = esk3_4(X40,X41,X42,X43)
        | in(esk3_4(X40,X41,X42,X43),the_carrier(X43))
        | the_InternalRel(X43) != relation_restriction_as_relation_of(the_InternalRel(X41),the_carrier(X43))
        | the_mapping(X40,X43) != partfun_dom_restriction(the_carrier(X41),the_carrier(X40),the_mapping(X40,X41),the_carrier(X43))
        | X43 = netstr_restr_to_element(X40,X41,X42)
        | ~ strict_net_str(X43,X40)
        | ~ net_str(X43,X40)
        | ~ element(X42,the_carrier(X41))
        | empty_carrier(X41)
        | ~ net_str(X41,X40)
        | empty_carrier(X40)
        | ~ one_sorted_str(X40) )
      & ( related(X41,X42,esk4_4(X40,X41,X42,X43))
        | in(esk3_4(X40,X41,X42,X43),the_carrier(X43))
        | the_InternalRel(X43) != relation_restriction_as_relation_of(the_InternalRel(X41),the_carrier(X43))
        | the_mapping(X40,X43) != partfun_dom_restriction(the_carrier(X41),the_carrier(X40),the_mapping(X40,X41),the_carrier(X43))
        | X43 = netstr_restr_to_element(X40,X41,X42)
        | ~ strict_net_str(X43,X40)
        | ~ net_str(X43,X40)
        | ~ element(X42,the_carrier(X41))
        | empty_carrier(X41)
        | ~ net_str(X41,X40)
        | empty_carrier(X40)
        | ~ one_sorted_str(X40) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])]) ).

fof(c_0_10,plain,
    ! [X63,X64,X65] :
      ( ( strict_net_str(netstr_restr_to_element(X63,X64,X65),X63)
        | empty_carrier(X63)
        | ~ one_sorted_str(X63)
        | empty_carrier(X64)
        | ~ net_str(X64,X63)
        | ~ element(X65,the_carrier(X64)) )
      & ( net_str(netstr_restr_to_element(X63,X64,X65),X63)
        | empty_carrier(X63)
        | ~ one_sorted_str(X63)
        | empty_carrier(X64)
        | ~ net_str(X64,X63)
        | ~ element(X65,the_carrier(X64)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).

fof(c_0_11,plain,
    ! [X101,X102,X103,X104,X106] :
      ( ( element(esk11_4(X101,X102,X103,X104),the_carrier(X103))
        | ~ in(X101,a_3_0_waybel_9(X102,X103,X104))
        | empty_carrier(X102)
        | ~ one_sorted_str(X102)
        | empty_carrier(X103)
        | ~ net_str(X103,X102)
        | ~ element(X104,the_carrier(X103)) )
      & ( X101 = esk11_4(X101,X102,X103,X104)
        | ~ in(X101,a_3_0_waybel_9(X102,X103,X104))
        | empty_carrier(X102)
        | ~ one_sorted_str(X102)
        | empty_carrier(X103)
        | ~ net_str(X103,X102)
        | ~ element(X104,the_carrier(X103)) )
      & ( related(X103,X104,esk11_4(X101,X102,X103,X104))
        | ~ in(X101,a_3_0_waybel_9(X102,X103,X104))
        | empty_carrier(X102)
        | ~ one_sorted_str(X102)
        | empty_carrier(X103)
        | ~ net_str(X103,X102)
        | ~ element(X104,the_carrier(X103)) )
      & ( ~ element(X106,the_carrier(X103))
        | X101 != X106
        | ~ related(X103,X104,X106)
        | in(X101,a_3_0_waybel_9(X102,X103,X104))
        | empty_carrier(X102)
        | ~ one_sorted_str(X102)
        | empty_carrier(X103)
        | ~ net_str(X103,X102)
        | ~ element(X104,the_carrier(X103)) ) ),
    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_12,negated_conjecture,
    ( ~ empty_carrier(esk24_0)
    & one_sorted_str(esk24_0)
    & ~ empty_carrier(esk25_0)
    & net_str(esk25_0,esk24_0)
    & element(esk26_0,the_carrier(esk25_0))
    & the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)) != a_3_0_waybel_9(esk24_0,esk25_0,esk26_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).

cnf(c_0_13,plain,
    ( related(X1,X2,esk2_5(X3,X1,X2,X4,X5))
    | empty_carrier(X1)
    | empty_carrier(X3)
    | ~ in(X5,the_carrier(X4))
    | X4 != netstr_restr_to_element(X3,X1,X2)
    | ~ strict_net_str(X4,X3)
    | ~ net_str(X4,X3)
    | ~ element(X2,the_carrier(X1))
    | ~ net_str(X1,X3)
    | ~ one_sorted_str(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,plain,
    ( net_str(netstr_restr_to_element(X1,X2,X3),X1)
    | empty_carrier(X1)
    | empty_carrier(X2)
    | ~ one_sorted_str(X1)
    | ~ net_str(X2,X1)
    | ~ element(X3,the_carrier(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,plain,
    ( strict_net_str(netstr_restr_to_element(X1,X2,X3),X1)
    | empty_carrier(X1)
    | empty_carrier(X2)
    | ~ one_sorted_str(X1)
    | ~ net_str(X2,X1)
    | ~ element(X3,the_carrier(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,plain,
    ( X1 = esk11_4(X1,X2,X3,X4)
    | empty_carrier(X2)
    | empty_carrier(X3)
    | ~ in(X1,a_3_0_waybel_9(X2,X3,X4))
    | ~ one_sorted_str(X2)
    | ~ net_str(X3,X2)
    | ~ element(X4,the_carrier(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,negated_conjecture,
    element(esk26_0,the_carrier(esk25_0)),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_18,negated_conjecture,
    ~ empty_carrier(esk25_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_19,plain,
    ( esk2_5(X1,X2,X3,X4,X5) = X5
    | empty_carrier(X2)
    | empty_carrier(X1)
    | ~ in(X5,the_carrier(X4))
    | X4 != netstr_restr_to_element(X1,X2,X3)
    | ~ strict_net_str(X4,X1)
    | ~ net_str(X4,X1)
    | ~ element(X3,the_carrier(X2))
    | ~ net_str(X2,X1)
    | ~ one_sorted_str(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_20,plain,
    ( element(esk2_5(X1,X2,X3,X4,X5),the_carrier(X2))
    | empty_carrier(X2)
    | empty_carrier(X1)
    | ~ in(X5,the_carrier(X4))
    | X4 != netstr_restr_to_element(X1,X2,X3)
    | ~ strict_net_str(X4,X1)
    | ~ net_str(X4,X1)
    | ~ element(X3,the_carrier(X2))
    | ~ net_str(X2,X1)
    | ~ one_sorted_str(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_21,plain,
    ( related(X1,X2,esk2_5(X3,X1,X2,netstr_restr_to_element(X3,X1,X2),X4))
    | empty_carrier(X3)
    | empty_carrier(X1)
    | ~ element(X2,the_carrier(X1))
    | ~ in(X4,the_carrier(netstr_restr_to_element(X3,X1,X2)))
    | ~ net_str(X1,X3)
    | ~ one_sorted_str(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_13]),c_0_14]),c_0_15]) ).

cnf(c_0_22,negated_conjecture,
    ( esk11_4(X1,X2,esk25_0,esk26_0) = X1
    | empty_carrier(X2)
    | ~ in(X1,a_3_0_waybel_9(X2,esk25_0,esk26_0))
    | ~ net_str(esk25_0,X2)
    | ~ one_sorted_str(X2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).

cnf(c_0_23,negated_conjecture,
    net_str(esk25_0,esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_24,negated_conjecture,
    one_sorted_str(esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_25,negated_conjecture,
    ~ empty_carrier(esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_26,plain,
    ! [X150,X151] :
      ( ( ~ in(esk27_2(X150,X151),X150)
        | ~ in(esk27_2(X150,X151),X151)
        | X150 = X151 )
      & ( in(esk27_2(X150,X151),X150)
        | in(esk27_2(X150,X151),X151)
        | X150 = X151 ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_tarski])])])]) ).

cnf(c_0_27,plain,
    ( esk2_5(X1,X2,X3,netstr_restr_to_element(X1,X2,X3),X4) = X4
    | empty_carrier(X2)
    | empty_carrier(X1)
    | ~ element(X3,the_carrier(X2))
    | ~ in(X4,the_carrier(netstr_restr_to_element(X1,X2,X3)))
    | ~ net_str(X2,X1)
    | ~ one_sorted_str(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_19]),c_0_14]),c_0_15]) ).

cnf(c_0_28,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | element(esk2_5(X2,X1,X3,netstr_restr_to_element(X2,X1,X3),X4),the_carrier(X1))
    | ~ element(X3,the_carrier(X1))
    | ~ in(X4,the_carrier(netstr_restr_to_element(X2,X1,X3)))
    | ~ net_str(X1,X2)
    | ~ one_sorted_str(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_20]),c_0_14]),c_0_15]) ).

cnf(c_0_29,plain,
    ( in(X3,a_3_0_waybel_9(X5,X2,X4))
    | empty_carrier(X5)
    | empty_carrier(X2)
    | ~ element(X1,the_carrier(X2))
    | X3 != X1
    | ~ related(X2,X4,X1)
    | ~ one_sorted_str(X5)
    | ~ net_str(X2,X5)
    | ~ element(X4,the_carrier(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_30,negated_conjecture,
    ( related(esk25_0,esk26_0,esk2_5(X1,esk25_0,esk26_0,netstr_restr_to_element(X1,esk25_0,esk26_0),X2))
    | empty_carrier(X1)
    | ~ in(X2,the_carrier(netstr_restr_to_element(X1,esk25_0,esk26_0)))
    | ~ net_str(esk25_0,X1)
    | ~ one_sorted_str(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_17]),c_0_18]) ).

cnf(c_0_31,negated_conjecture,
    ( esk11_4(X1,esk24_0,esk25_0,esk26_0) = X1
    | ~ in(X1,a_3_0_waybel_9(esk24_0,esk25_0,esk26_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]),c_0_25]) ).

cnf(c_0_32,plain,
    ( in(esk27_2(X1,X2),X1)
    | in(esk27_2(X1,X2),X2)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_33,negated_conjecture,
    ( esk2_5(X1,esk25_0,esk26_0,netstr_restr_to_element(X1,esk25_0,esk26_0),X2) = X2
    | empty_carrier(X1)
    | ~ in(X2,the_carrier(netstr_restr_to_element(X1,esk25_0,esk26_0)))
    | ~ net_str(esk25_0,X1)
    | ~ one_sorted_str(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_17]),c_0_18]) ).

cnf(c_0_34,negated_conjecture,
    ( empty_carrier(X1)
    | element(esk2_5(X1,esk25_0,esk26_0,netstr_restr_to_element(X1,esk25_0,esk26_0),X2),the_carrier(esk25_0))
    | ~ in(X2,the_carrier(netstr_restr_to_element(X1,esk25_0,esk26_0)))
    | ~ net_str(esk25_0,X1)
    | ~ one_sorted_str(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_17]),c_0_18]) ).

cnf(c_0_35,plain,
    ( related(X1,X2,esk11_4(X3,X4,X1,X2))
    | empty_carrier(X4)
    | empty_carrier(X1)
    | ~ in(X3,a_3_0_waybel_9(X4,X1,X2))
    | ~ one_sorted_str(X4)
    | ~ net_str(X1,X4)
    | ~ element(X2,the_carrier(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_36,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | in(X3,a_3_0_waybel_9(X1,X2,X4))
    | ~ related(X2,X4,X3)
    | ~ element(X4,the_carrier(X2))
    | ~ element(X3,the_carrier(X2))
    | ~ net_str(X2,X1)
    | ~ one_sorted_str(X1) ),
    inference(er,[status(thm)],[c_0_29]) ).

cnf(c_0_37,negated_conjecture,
    ( related(esk25_0,esk26_0,esk2_5(esk24_0,esk25_0,esk26_0,netstr_restr_to_element(esk24_0,esk25_0,esk26_0),X1))
    | ~ in(X1,the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_23]),c_0_24])]),c_0_25]) ).

cnf(c_0_38,negated_conjecture,
    ( esk11_4(esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),X1),esk24_0,esk25_0,esk26_0) = esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),X1)
    | a_3_0_waybel_9(esk24_0,esk25_0,esk26_0) = X1
    | in(esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),X1),X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_39,negated_conjecture,
    the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)) != a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_40,negated_conjecture,
    ( esk2_5(esk24_0,esk25_0,esk26_0,netstr_restr_to_element(esk24_0,esk25_0,esk26_0),X1) = X1
    | ~ in(X1,the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_23]),c_0_24])]),c_0_25]) ).

cnf(c_0_41,negated_conjecture,
    ( element(esk2_5(esk24_0,esk25_0,esk26_0,netstr_restr_to_element(esk24_0,esk25_0,esk26_0),X1),the_carrier(esk25_0))
    | ~ in(X1,the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_23]),c_0_24])]),c_0_25]) ).

cnf(c_0_42,plain,
    ( element(esk11_4(X1,X2,X3,X4),the_carrier(X3))
    | empty_carrier(X2)
    | empty_carrier(X3)
    | ~ in(X1,a_3_0_waybel_9(X2,X3,X4))
    | ~ one_sorted_str(X2)
    | ~ net_str(X3,X2)
    | ~ element(X4,the_carrier(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_43,plain,
    ( in(X3,the_carrier(X5))
    | empty_carrier(X2)
    | empty_carrier(X6)
    | ~ element(X1,the_carrier(X2))
    | X1 != X3
    | ~ related(X2,X4,X1)
    | X5 != netstr_restr_to_element(X6,X2,X4)
    | ~ strict_net_str(X5,X6)
    | ~ net_str(X5,X6)
    | ~ element(X4,the_carrier(X2))
    | ~ net_str(X2,X6)
    | ~ one_sorted_str(X6) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_44,negated_conjecture,
    ( related(esk25_0,esk26_0,esk11_4(X1,X2,esk25_0,esk26_0))
    | empty_carrier(X2)
    | ~ in(X1,a_3_0_waybel_9(X2,esk25_0,esk26_0))
    | ~ net_str(esk25_0,X2)
    | ~ one_sorted_str(X2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_17]),c_0_18]) ).

cnf(c_0_45,negated_conjecture,
    ( empty_carrier(X1)
    | in(X2,a_3_0_waybel_9(X1,esk25_0,esk26_0))
    | ~ related(esk25_0,esk26_0,X2)
    | ~ element(X2,the_carrier(esk25_0))
    | ~ net_str(esk25_0,X1)
    | ~ one_sorted_str(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_17]),c_0_18]) ).

cnf(c_0_46,negated_conjecture,
    ( esk11_4(esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0))),esk24_0,esk25_0,esk26_0) = esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)))
    | related(esk25_0,esk26_0,esk2_5(esk24_0,esk25_0,esk26_0,netstr_restr_to_element(esk24_0,esk25_0,esk26_0),esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0))))) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).

cnf(c_0_47,negated_conjecture,
    ( esk2_5(esk24_0,esk25_0,esk26_0,netstr_restr_to_element(esk24_0,esk25_0,esk26_0),esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)))) = esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)))
    | esk11_4(esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0))),esk24_0,esk25_0,esk26_0) = esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0))) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_38]),c_0_39]) ).

cnf(c_0_48,negated_conjecture,
    ( esk11_4(esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0))),esk24_0,esk25_0,esk26_0) = esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)))
    | element(esk2_5(esk24_0,esk25_0,esk26_0,netstr_restr_to_element(esk24_0,esk25_0,esk26_0),esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)))),the_carrier(esk25_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_38]),c_0_39]) ).

cnf(c_0_49,negated_conjecture,
    ( empty_carrier(X1)
    | element(esk11_4(X2,X1,esk25_0,esk26_0),the_carrier(esk25_0))
    | ~ in(X2,a_3_0_waybel_9(X1,esk25_0,esk26_0))
    | ~ net_str(esk25_0,X1)
    | ~ one_sorted_str(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_17]),c_0_18]) ).

cnf(c_0_50,plain,
    ( empty_carrier(X1)
    | empty_carrier(X2)
    | in(X3,the_carrier(netstr_restr_to_element(X1,X2,X4)))
    | ~ related(X2,X4,X3)
    | ~ element(X4,the_carrier(X2))
    | ~ element(X3,the_carrier(X2))
    | ~ net_str(X2,X1)
    | ~ one_sorted_str(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_43])]),c_0_14]),c_0_15]) ).

cnf(c_0_51,negated_conjecture,
    ( related(esk25_0,esk26_0,esk11_4(X1,esk24_0,esk25_0,esk26_0))
    | ~ in(X1,a_3_0_waybel_9(esk24_0,esk25_0,esk26_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_23]),c_0_24])]),c_0_25]) ).

cnf(c_0_52,negated_conjecture,
    ( in(X1,a_3_0_waybel_9(esk24_0,esk25_0,esk26_0))
    | ~ related(esk25_0,esk26_0,X1)
    | ~ element(X1,the_carrier(esk25_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_23]),c_0_24])]),c_0_25]) ).

cnf(c_0_53,negated_conjecture,
    ( esk11_4(esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0))),esk24_0,esk25_0,esk26_0) = esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)))
    | related(esk25_0,esk26_0,esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)))) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_54,negated_conjecture,
    ( esk11_4(esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0))),esk24_0,esk25_0,esk26_0) = esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)))
    | element(esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0))),the_carrier(esk25_0)) ),
    inference(spm,[status(thm)],[c_0_48,c_0_47]) ).

cnf(c_0_55,negated_conjecture,
    ( element(esk11_4(X1,esk24_0,esk25_0,esk26_0),the_carrier(esk25_0))
    | ~ in(X1,a_3_0_waybel_9(esk24_0,esk25_0,esk26_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_23]),c_0_24])]),c_0_25]) ).

cnf(c_0_56,negated_conjecture,
    ( empty_carrier(X1)
    | in(X2,the_carrier(netstr_restr_to_element(X1,esk25_0,esk26_0)))
    | ~ related(esk25_0,esk26_0,X2)
    | ~ element(X2,the_carrier(esk25_0))
    | ~ net_str(esk25_0,X1)
    | ~ one_sorted_str(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_17]),c_0_18]) ).

cnf(c_0_57,negated_conjecture,
    ( a_3_0_waybel_9(esk24_0,esk25_0,esk26_0) = X1
    | related(esk25_0,esk26_0,esk11_4(esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),X1),esk24_0,esk25_0,esk26_0))
    | in(esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),X1),X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_32]) ).

cnf(c_0_58,negated_conjecture,
    esk11_4(esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0))),esk24_0,esk25_0,esk26_0) = esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0))),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_31]) ).

cnf(c_0_59,negated_conjecture,
    ( a_3_0_waybel_9(esk24_0,esk25_0,esk26_0) = X1
    | element(esk11_4(esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),X1),esk24_0,esk25_0,esk26_0),the_carrier(esk25_0))
    | in(esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),X1),X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_32]) ).

cnf(c_0_60,negated_conjecture,
    ( in(X1,the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)))
    | ~ related(esk25_0,esk26_0,X1)
    | ~ element(X1,the_carrier(esk25_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_23]),c_0_24])]),c_0_25]) ).

cnf(c_0_61,negated_conjecture,
    ( related(esk25_0,esk26_0,esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0))))
    | in(esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0))),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0))) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_39]) ).

cnf(c_0_62,negated_conjecture,
    ( element(esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0))),the_carrier(esk25_0))
    | in(esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0))),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0))) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_58]),c_0_39]) ).

cnf(c_0_63,negated_conjecture,
    in(esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0))),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0))),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]) ).

cnf(c_0_64,negated_conjecture,
    esk2_5(esk24_0,esk25_0,esk26_0,netstr_restr_to_element(esk24_0,esk25_0,esk26_0),esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)))) = esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0))),
    inference(spm,[status(thm)],[c_0_40,c_0_63]) ).

cnf(c_0_65,negated_conjecture,
    element(esk2_5(esk24_0,esk25_0,esk26_0,netstr_restr_to_element(esk24_0,esk25_0,esk26_0),esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)))),the_carrier(esk25_0)),
    inference(spm,[status(thm)],[c_0_41,c_0_63]) ).

cnf(c_0_66,plain,
    ( X1 = X2
    | ~ in(esk27_2(X1,X2),X1)
    | ~ in(esk27_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_67,negated_conjecture,
    related(esk25_0,esk26_0,esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0)))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_63]),c_0_64]) ).

cnf(c_0_68,negated_conjecture,
    element(esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0))),the_carrier(esk25_0)),
    inference(rw,[status(thm)],[c_0_65,c_0_64]) ).

cnf(c_0_69,negated_conjecture,
    ~ in(esk27_2(a_3_0_waybel_9(esk24_0,esk25_0,esk26_0),the_carrier(netstr_restr_to_element(esk24_0,esk25_0,esk26_0))),a_3_0_waybel_9(esk24_0,esk25_0,esk26_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_63]),c_0_39]) ).

cnf(c_0_70,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_67]),c_0_68])]),c_0_69]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SEU384+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33  % Computer : n020.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Wed Aug 23 14:15:30 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.19/0.56  start to proof: theBenchmark
% 7.83/7.94  % Version  : CSE_E---1.5
% 7.83/7.94  % Problem  : theBenchmark.p
% 7.83/7.94  % Proof found
% 7.83/7.94  % SZS status Theorem for theBenchmark.p
% 7.83/7.94  % SZS output start Proof
% See solution above
% 7.94/7.95  % Total time : 7.378000 s
% 7.94/7.95  % SZS output end Proof
% 7.94/7.95  % Total time : 7.383000 s
%------------------------------------------------------------------------------