TSTP Solution File: ITP221_1 by E---3.1.00

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%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : ITP221_1 : TPTP v8.1.2. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n019.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 : Sat May  4 08:07:30 EDT 2024

% Result   : Theorem 107.68s 32.60s
% Output   : CNFRefutation 107.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   43
% Syntax   : Number of formulae    :   61 (   9 unt;  37 typ;   0 def)
%            Number of atoms       :   45 (   2 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :   37 (  16   ~;  16   |;   2   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of types       :   13 (  12 usr)
%            Number of type conns  :   21 (  11   >;  10   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   24 (  24 usr;  14 con; 0-4 aty)
%            Number of variables   :    8 (   0 sgn   8   !;   0   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_sort1,type,
    fun_nat_bool: $tType ).

tff(decl_sort2,type,
    fun_nat_nat: $tType ).

tff(decl_sort3,type,
    list_VEBT_VEBT: $tType ).

tff(decl_sort4,type,
    nat: $tType ).

tff(decl_sort5,type,
    fun_nat_fun_nat_nat: $tType ).

tff(decl_sort6,type,
    num: $tType ).

tff(decl_sort7,type,
    fun_num_num: $tType ).

tff(decl_sort8,type,
    fun_VE3763956218935105199t_bool: $tType ).

tff(decl_sort9,type,
    bool: $tType ).

tff(decl_sort10,type,
    vEBT_VEBT: $tType ).

tff(decl_sort11,type,
    fun_num_nat: $tType ).

tff(decl_sort12,type,
    option4927543243414619207at_nat: $tType ).

tff(decl_717,type,
    one_one_nat: nat ).

tff(decl_888,type,
    nth_VEBT_VEBT: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(decl_920,type,
    suc: fun_nat_nat ).

tff(decl_993,type,
    bit0: fun_num_num ).

tff(decl_995,type,
    one: num ).

tff(decl_1003,type,
    numeral_numeral_nat: fun_num_nat ).

tff(decl_1153,type,
    divide_divide_nat: fun_nat_fun_nat_nat ).

tff(decl_1296,type,
    vEBT_Node: ( option4927543243414619207at_nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(decl_1298,type,
    vEBT_V8194947554948674370ptions: fun_VE3763956218935105199t_bool ).

tff(decl_1299,type,
    vEBT_VEBT_high: fun_nat_fun_nat_nat ).

tff(decl_1301,type,
    vEBT_VEBT_low: fun_nat_fun_nat_nat ).

tff(decl_1302,type,
    vEBT_VEBT_membermima: vEBT_VEBT > fun_nat_bool ).

tff(decl_1304,type,
    vEBT_V5719532721284313246member: vEBT_VEBT > fun_nat_bool ).

tff(decl_1382,type,
    aa_nat_bool: ( fun_nat_bool * nat ) > bool ).

tff(decl_1384,type,
    aa_nat_nat: ( fun_nat_nat * nat ) > nat ).

tff(decl_1405,type,
    aa_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).

tff(decl_1426,type,
    aa_num_nat: ( fun_num_nat * num ) > nat ).

tff(decl_1427,type,
    aa_num_num: ( fun_num_num * num ) > num ).

tff(decl_1483,type,
    aa_VEB4832260192069861672t_bool: ( fun_VE3763956218935105199t_bool * vEBT_VEBT ) > fun_nat_bool ).

tff(decl_1573,type,
    pp: bool > $o ).

tff(decl_1574,type,
    deg: nat ).

tff(decl_1575,type,
    info: option4927543243414619207at_nat ).

tff(decl_1581,type,
    summary: vEBT_VEBT ).

tff(decl_1582,type,
    treeList: list_VEBT_VEBT ).

tff(decl_1583,type,
    x: nat ).

tff(conj_0,conjecture,
    pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_Node(info,deg,treeList,summary)),x)),
    file('/export/starexec/sandbox2/tmp/tmp.KIImCC7M3y/E---3.1_12654.p',conj_0) ).

tff(fact_7__092_060open_062naive__member_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060Longrightarrow_062_Anaive__member_A_INode_Ainfo_Adeg_AtreeList_Asummary_J_Ax_092_060close_062,axiom,
    ( pp(aa_nat_bool(vEBT_V5719532721284313246member(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))
   => pp(aa_nat_bool(vEBT_V5719532721284313246member(vEBT_Node(info,deg,treeList,summary)),x)) ),
    file('/export/starexec/sandbox2/tmp/tmp.KIImCC7M3y/E---3.1_12654.p',fact_7__092_060open_062naive__member_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060Longrightarrow_062_Anaive__member_A_INode_Ainfo_Adeg_AtreeList_Asummary_J_Ax_092_060close_062) ).

tff(fact_8__092_060open_062membermima_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060Longrightarrow_062_Amembermima_A_INode_Ainfo_Adeg_AtreeList_Asummary_J_Ax_092_060close_062,axiom,
    ( pp(aa_nat_bool(vEBT_VEBT_membermima(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))
   => pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_Node(info,deg,treeList,summary)),x)) ),
    file('/export/starexec/sandbox2/tmp/tmp.KIImCC7M3y/E---3.1_12654.p',fact_8__092_060open_062membermima_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060Longrightarrow_062_Amembermima_A_INode_Ainfo_Adeg_AtreeList_Asummary_J_Ax_092_060close_062) ).

tff(fact_0_both__member__options__def,axiom,
    ! [X1: vEBT_VEBT,X2: nat] :
      ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,X1),X2))
    <=> ( pp(aa_nat_bool(vEBT_V5719532721284313246member(X1),X2))
        | pp(aa_nat_bool(vEBT_VEBT_membermima(X1),X2)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.KIImCC7M3y/E---3.1_12654.p',fact_0_both__member__options__def) ).

tff(fact_10__092_060open_062membermima_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060or_062_Anaive__member_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_092_060close_062,axiom,
    ( pp(aa_nat_bool(vEBT_VEBT_membermima(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))
    | pp(aa_nat_bool(vEBT_V5719532721284313246member(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))) ),
    file('/export/starexec/sandbox2/tmp/tmp.KIImCC7M3y/E---3.1_12654.p',fact_10__092_060open_062membermima_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060or_062_Anaive__member_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_092_060close_062) ).

tff(fact_148_Suc__1,axiom,
    aa_nat_nat(suc,one_one_nat) = aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)),
    file('/export/starexec/sandbox2/tmp/tmp.KIImCC7M3y/E---3.1_12654.p',fact_148_Suc__1) ).

tff(c_0_6,negated_conjecture,
    ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_Node(info,deg,treeList,summary)),x)),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).

tff(c_0_7,plain,
    ( ~ pp(aa_nat_bool(vEBT_V5719532721284313246member(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))
    | pp(aa_nat_bool(vEBT_V5719532721284313246member(vEBT_Node(info,deg,treeList,summary)),x)) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_7__092_060open_062naive__member_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060Longrightarrow_062_Anaive__member_A_INode_Ainfo_Adeg_AtreeList_Asummary_J_Ax_092_060close_062])]) ).

tff(c_0_8,plain,
    ( ~ pp(aa_nat_bool(vEBT_VEBT_membermima(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))
    | pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_Node(info,deg,treeList,summary)),x)) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_8__092_060open_062membermima_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060Longrightarrow_062_Amembermima_A_INode_Ainfo_Adeg_AtreeList_Asummary_J_Ax_092_060close_062])]) ).

tff(c_0_9,negated_conjecture,
    ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_Node(info,deg,treeList,summary)),x)),
    inference(fof_nnf,[status(thm)],[c_0_6]) ).

tff(c_0_10,plain,
    ! [X16625: vEBT_VEBT,X16626: nat] :
      ( ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,X16625),X16626))
        | pp(aa_nat_bool(vEBT_V5719532721284313246member(X16625),X16626))
        | pp(aa_nat_bool(vEBT_VEBT_membermima(X16625),X16626)) )
      & ( ~ pp(aa_nat_bool(vEBT_V5719532721284313246member(X16625),X16626))
        | pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,X16625),X16626)) )
      & ( ~ pp(aa_nat_bool(vEBT_VEBT_membermima(X16625),X16626))
        | pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,X16625),X16626)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_0_both__member__options__def])])])]) ).

tcf(c_0_11,plain,
    ( pp(aa_nat_bool(vEBT_VEBT_membermima(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))))
    | pp(aa_nat_bool(vEBT_V5719532721284313246member(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))) ),
    inference(split_conjunct,[status(thm)],[fact_10__092_060open_062membermima_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060or_062_Anaive__member_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_092_060close_062]) ).

tcf(c_0_12,plain,
    aa_nat_nat(suc,one_one_nat) = aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)),
    inference(split_conjunct,[status(thm)],[fact_148_Suc__1]) ).

tcf(c_0_13,plain,
    ( pp(aa_nat_bool(vEBT_V5719532721284313246member(vEBT_Node(info,deg,treeList,summary)),x))
    | ~ pp(aa_nat_bool(vEBT_V5719532721284313246member(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

tcf(c_0_14,plain,
    ( pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_Node(info,deg,treeList,summary)),x))
    | ~ pp(aa_nat_bool(vEBT_VEBT_membermima(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

tcf(c_0_15,negated_conjecture,
    ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,vEBT_Node(info,deg,treeList,summary)),x)),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

tcf(c_0_16,plain,
    ! [X1: vEBT_VEBT,X2: nat] :
      ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,X1),X2))
      | ~ pp(aa_nat_bool(vEBT_V5719532721284313246member(X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

tcf(c_0_17,plain,
    ! [X1: vEBT_VEBT,X2: nat] :
      ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,X1),X2))
      | ~ pp(aa_nat_bool(vEBT_VEBT_membermima(X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

tcf(c_0_18,plain,
    ( pp(aa_nat_bool(vEBT_V5719532721284313246member(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(suc,one_one_nat))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(suc,one_one_nat)))))
    | pp(aa_nat_bool(vEBT_VEBT_membermima(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(suc,one_one_nat))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(suc,one_one_nat))))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_12]),c_0_12]),c_0_12]) ).

tcf(c_0_19,plain,
    ( pp(aa_nat_bool(vEBT_V5719532721284313246member(vEBT_Node(info,deg,treeList,summary)),x))
    | ~ pp(aa_nat_bool(vEBT_V5719532721284313246member(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(suc,one_one_nat))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(suc,one_one_nat))))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_12]),c_0_12]) ).

tcf(c_0_20,plain,
    ( pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_Node(info,deg,treeList,summary)),x))
    | ~ pp(aa_nat_bool(vEBT_VEBT_membermima(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(suc,one_one_nat))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,x),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(suc,one_one_nat))))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_12]),c_0_12]) ).

tcf(c_0_21,negated_conjecture,
    ~ pp(aa_nat_bool(vEBT_V5719532721284313246member(vEBT_Node(info,deg,treeList,summary)),x)),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

tcf(c_0_22,negated_conjecture,
    ~ pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_Node(info,deg,treeList,summary)),x)),
    inference(spm,[status(thm)],[c_0_15,c_0_17]) ).

cnf(c_0_23,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_18,c_0_19,c_0_20,c_0_21,c_0_22]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 9.67/9.79  % Problem    : ITP221_1 : TPTP v8.1.2. Released v8.0.0.
% 9.75/9.80  % Command    : run_E %s %d THM
% 9.77/10.00  % Computer : n019.cluster.edu
% 9.77/10.00  % Model    : x86_64 x86_64
% 9.77/10.00  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 9.77/10.00  % Memory   : 8042.1875MB
% 9.77/10.00  % OS       : Linux 3.10.0-693.el7.x86_64
% 9.77/10.00  % CPULimit   : 300
% 9.77/10.00  % WCLimit    : 300
% 9.77/10.00  % DateTime   : Fri May  3 12:38:38 EDT 2024
% 9.77/10.00  % CPUTime    : 
% 19.77/20.02  Running first-order theorem proving
% 19.77/20.02  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.KIImCC7M3y/E---3.1_12654.p
% 107.68/32.60  # Version: 3.1.0
% 107.68/32.60  # Preprocessing class: FMLLSMLLSSSNFFN.
% 107.68/32.60  # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 107.68/32.60  # Starting new_bool_3 with 897s (3) cores
% 107.68/32.60  # Starting new_bool_1 with 897s (3) cores
% 107.68/32.60  # Starting sh5l with 299s (1) cores
% 107.68/32.60  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 299s (1) cores
% 107.68/32.60  # new_bool_3 with pid 12733 completed with status 0
% 107.68/32.60  # Result found by new_bool_3
% 107.68/32.60  # Preprocessing class: FMLLSMLLSSSNFFN.
% 107.68/32.60  # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 107.68/32.60  # Starting new_bool_3 with 897s (3) cores
% 107.68/32.60  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 107.68/32.60  # Search class: FGHSM-SMLM32-DFFFFFNN
% 107.68/32.60  # Scheduled 13 strats onto 3 cores with 897 seconds (897 total)
% 107.68/32.60  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 68s (1) cores
% 107.68/32.60  # Starting new_bool_3 with 90s (1) cores
% 107.68/32.60  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 68s (1) cores
% 107.68/32.60  # G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 12739 completed with status 0
% 107.68/32.60  # Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 107.68/32.60  # Preprocessing class: FMLLSMLLSSSNFFN.
% 107.68/32.60  # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 107.68/32.60  # Starting new_bool_3 with 897s (3) cores
% 107.68/32.60  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 107.68/32.60  # Search class: FGHSM-SMLM32-DFFFFFNN
% 107.68/32.60  # Scheduled 13 strats onto 3 cores with 897 seconds (897 total)
% 107.68/32.60  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 68s (1) cores
% 107.68/32.60  # Starting new_bool_3 with 90s (1) cores
% 107.68/32.60  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 68s (1) cores
% 107.68/32.60  # Preprocessing time       : 0.135 s
% 107.68/32.60  # SatCheck found unsatisfiable ground set
% 107.68/32.60  
% 107.68/32.60  # Proof found!
% 107.68/32.60  # SZS status Theorem
% 107.68/32.60  # SZS output start CNFRefutation
% See solution above
% 107.68/32.60  # Parsed axioms                        : 12657
% 107.68/32.60  # Removed by relevancy pruning/SinE    : 10119
% 107.68/32.60  # Initial clauses                      : 7082
% 107.68/32.60  # Removed in clause preprocessing      : 1459
% 107.68/32.60  # Initial clauses in saturation        : 5623
% 107.68/32.60  # Processed clauses                    : 8455
% 107.68/32.60  # ...of these trivial                  : 370
% 107.68/32.60  # ...subsumed                          : 3085
% 107.68/32.60  # ...remaining for further processing  : 5000
% 107.68/32.60  # Other redundant clauses eliminated   : 3049
% 107.68/32.60  # Clauses deleted for lack of memory   : 0
% 107.68/32.60  # Backward-subsumed                    : 59
% 107.68/32.60  # Backward-rewritten                   : 89
% 107.68/32.60  # Generated clauses                    : 129596
% 107.68/32.60  # ...of the previous two non-redundant : 116651
% 107.68/32.60  # ...aggressively subsumed             : 0
% 107.68/32.60  # Contextual simplify-reflections      : 52
% 107.68/32.60  # Paramodulations                      : 127127
% 107.68/32.60  # Factorizations                       : 23
% 107.68/32.60  # NegExts                              : 0
% 107.68/32.60  # Equation resolutions                 : 3107
% 107.68/32.60  # Disequality decompositions           : 0
% 107.68/32.60  # Total rewrite steps                  : 56372
% 107.68/32.60  # ...of those cached                   : 49887
% 107.68/32.60  # Propositional unsat checks           : 1
% 107.68/32.60  #    Propositional check models        : 0
% 107.68/32.60  #    Propositional check unsatisfiable : 1
% 107.68/32.60  #    Propositional clauses             : 117307
% 107.68/32.60  #    Propositional clauses after purity: 42637
% 107.68/32.60  #    Propositional unsat core size     : 5
% 107.68/32.60  #    Propositional preprocessing time  : 0.000
% 107.68/32.60  #    Propositional encoding time       : 0.423
% 107.68/32.60  #    Propositional solver time         : 0.032
% 107.68/32.60  #    Success case prop preproc time    : 0.000
% 107.68/32.60  #    Success case prop encoding time   : 0.423
% 107.68/32.60  #    Success case prop solver time     : 0.032
% 107.68/32.60  # Current number of processed clauses  : 3788
% 107.68/32.60  #    Positive orientable unit clauses  : 485
% 107.68/32.60  #    Positive unorientable unit clauses: 32
% 107.68/32.60  #    Negative unit clauses             : 360
% 107.68/32.60  #    Non-unit-clauses                  : 2911
% 107.68/32.60  # Current number of unprocessed clauses: 113519
% 107.68/32.60  # ...number of literals in the above   : 454431
% 107.68/32.60  # Current number of archived formulas  : 0
% 107.68/32.60  # Current number of archived clauses   : 148
% 107.68/32.60  # Clause-clause subsumption calls (NU) : 7590933
% 107.68/32.60  # Rec. Clause-clause subsumption calls : 481170
% 107.68/32.60  # Non-unit clause-clause subsumptions  : 1577
% 107.68/32.60  # Unit Clause-clause subsumption calls : 384638
% 107.68/32.60  # Rewrite failures with RHS unbound    : 0
% 107.68/32.60  # BW rewrite match attempts            : 5414
% 107.68/32.60  # BW rewrite match successes           : 203
% 107.68/32.60  # Condensation attempts                : 0
% 107.68/32.60  # Condensation successes               : 0
% 107.68/32.60  # Termbank termtop insertions          : 7239540
% 107.68/32.60  # Search garbage collected termcells   : 169563
% 107.68/32.60  
% 107.68/32.60  # -------------------------------------------------
% 107.68/32.60  # User time                : 11.025 s
% 107.68/32.60  # System time              : 0.223 s
% 107.68/32.60  # Total time               : 11.247 s
% 107.68/32.60  # Maximum resident set size: 40612 pages
% 107.68/32.60  
% 107.68/32.60  # -------------------------------------------------
% 107.68/32.60  # User time                : 32.462 s
% 107.68/32.60  # System time              : 0.371 s
% 107.68/32.60  # Total time               : 32.834 s
% 107.68/32.60  # Maximum resident set size: 26228 pages
% 107.68/32.60  % E---3.1 exiting
% 107.68/32.61  % E exiting
%------------------------------------------------------------------------------