TSTP Solution File: ITP180^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP180^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pYW5J6YMlB true

% Computer : n001.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 05:22:41 EDT 2023

% Result   : Theorem 31.18s 4.71s
% Output   : Refutation 31.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   46 (   9 unt;  26 typ;   0 def)
%            Number of atoms       :   71 (   0 equ;  10 cnn)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  489 (   8   ~;   4   |;   0   &; 440   @)
%                                         (   0 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (  11 avg)
%            Number of types       :    8 (   7 usr)
%            Number of type conns  :   38 (  38   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   22 (  19 usr;   6 con; 0-6 aty)
%                                         (  20  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   48 (   5   ^;  31   !;   0   ?;  48   :)
%                                         (  12  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(labele2115946735nt_V_V_type,type,
    labele2115946735nt_V_V: $tType ).

thf(set_Product_prod_V_V_type,type,
    set_Product_prod_V_V: $tType ).

thf(set_V_type,type,
    set_V: $tType ).

thf(product_prod_V_V_type,type,
    product_prod_V_V: $tType ).

thf(v_type,type,
    v: $tType ).

thf(standard_Constant_V_type,type,
    standard_Constant_V: $tType ).

thf(v2_type,type,
    v2: $tType ).

thf(standard_S_Const_V_type,type,
    standard_S_Const_V: v2 > standard_Constant_V ).

thf(bNF_Gr_V_V2_type,type,
    bNF_Gr_V_V2: set_V > ( v > v ) > set_Product_prod_V_V ).

thf(labele1134902411nt_V_V_type,type,
    labele1134902411nt_V_V: labele2115946735nt_V_V > set_V ).

thf(id_on_V2_type,type,
    id_on_V2: set_V > set_Product_prod_V_V ).

thf(member2015049524od_V_V_type,type,
    member2015049524od_V_V: product_prod_V_V > set_Product_prod_V_V > $o ).

thf(xa_type,type,
    xa: v2 ).

thf(y_type,type,
    y: v2 ).

thf(g_type,type,
    g: labele2115946735nt_V_V ).

thf(graph_1808119_V_V_V_type,type,
    graph_1808119_V_V_V: labele2115946735nt_V_V > labele2115946735nt_V_V > set_Product_prod_V_V > $o ).

thf(map_gr907434255tant_V_type,type,
    map_gr907434255tant_V: set_Product_prod_V_V > labele2115946735nt_V_V > labele2115946735nt_V_V ).

thf(getRel1432786916nt_V_V_type,type,
    getRel1432786916nt_V_V: standard_Constant_V > labele2115946735nt_V_V > set_Product_prod_V_V ).

thf(m_type,type,
    m: v2 > v ).

thf(product_Pair_V_V2_type,type,
    product_Pair_V_V2: v > v > product_prod_V_V ).

thf(h_type,type,
    h: v > v ).

thf(s_comb_type,type,
    '#S': 
      !>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > ( A > B ) > A > C ) ).

thf(c_comb_type,type,
    '#C': 
      !>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > B > A > C ) ).

thf(b_comb_type,type,
    '#B': 
      !>[A: $tType,B: $tType,C: $tType] : ( ( A > B ) > ( C > A ) > C > B ) ).

thf(k_comb_type,type,
    '#K': 
      !>[A: $tType,B: $tType] : ( B > A > B ) ).

thf(i_comb_type,type,
    '#I': 
      !>[A: $tType] : ( A > A ) ).

thf(fact_8_h_I3_J,axiom,
    graph_1808119_V_V_V @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) @ g @ ( id_on_V2 @ ( labele1134902411nt_V_V @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) ) ) ).

thf(zip_derived_cl8,plain,
    graph_1808119_V_V_V @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) @ g @ ( id_on_V2 @ ( labele1134902411nt_V_V @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) ) ),
    inference(cnf,[status(esa)],[fact_8_h_I3_J]) ).

thf(fact_38_getRel__subgraph,axiom,
    ! [Y: v,Z: v,L: standard_Constant_V,G: labele2115946735nt_V_V,G2: labele2115946735nt_V_V] :
      ( ( member2015049524od_V_V @ ( product_Pair_V_V2 @ Y @ Z ) @ ( getRel1432786916nt_V_V @ L @ G ) )
     => ( ( graph_1808119_V_V_V @ G @ G2 @ ( id_on_V2 @ ( labele1134902411nt_V_V @ G ) ) )
       => ( member2015049524od_V_V @ ( product_Pair_V_V2 @ Y @ Z ) @ ( getRel1432786916nt_V_V @ L @ G2 ) ) ) ) ).

thf(zip_derived_cl50,plain,
    ( !!
    @ ^ [Y0: v] :
        ( !!
        @ ^ [Y1: v] :
            ( !!
            @ ^ [Y2: standard_Constant_V] :
                ( !!
                @ ^ [Y3: labele2115946735nt_V_V] :
                    ( !!
                    @ ^ [Y4: labele2115946735nt_V_V] :
                        ( ( member2015049524od_V_V @ ( product_Pair_V_V2 @ Y0 @ Y1 ) @ ( getRel1432786916nt_V_V @ Y2 @ Y3 ) )
                       => ( ( graph_1808119_V_V_V @ Y3 @ Y4 @ ( id_on_V2 @ ( labele1134902411nt_V_V @ Y3 ) ) )
                         => ( member2015049524od_V_V @ ( product_Pair_V_V2 @ Y0 @ Y1 ) @ ( getRel1432786916nt_V_V @ Y2 @ Y4 ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_38_getRel__subgraph]) ).

thf(zip_derived_cl51,plain,
    !! @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#B' @ ( '#B' @ ( '#B' @ !! ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ ( '#B' @ !! ) ) ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ '#S' ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ ( '#B' @ '#B' ) ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) ) @ ( '#C' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#B' ) @ ( '#B' @ ( '#B' @ '#B' ) @ ( '#B' @ ( '#B' @ member2015049524od_V_V ) @ product_Pair_V_V2 ) ) ) ) @ getRel1432786916nt_V_V ) ) ) ) ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#S' @ ( '#B' @ '#C' @ graph_1808119_V_V_V ) @ ( '#B' @ id_on_V2 @ labele1134902411nt_V_V ) ) ) ) ) ) ) @ ( '#C' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#B' ) @ ( '#B' @ ( '#B' @ '#B' ) @ ( '#B' @ ( '#B' @ member2015049524od_V_V ) @ product_Pair_V_V2 ) ) ) ) @ getRel1432786916nt_V_V ) ) ) ) ) ) ),
    inference(lams2combs,[status(thm)],[zip_derived_cl50]) ).

thf(zip_derived_cl1008,plain,
    ! [X2: v] : ( !! @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#B' @ ( '#B' @ ( '#B' @ !! ) ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ '#B' ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#B' @ ( '#B' @ member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 ) ) ) ) @ getRel1432786916nt_V_V ) ) ) ) ) @ ( '#B' @ ( '#B' @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#S' @ ( '#B' @ '#C' @ graph_1808119_V_V_V ) @ ( '#B' @ id_on_V2 @ labele1134902411nt_V_V ) ) ) ) ) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#B' @ ( '#B' @ member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 ) ) ) ) @ getRel1432786916nt_V_V ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl51]) ).

thf(zip_derived_cl1009,plain,
    ! [X2: v,X4: v] : ( !! @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#B' ) @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#B' @ ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 @ X4 ) ) ) @ getRel1432786916nt_V_V ) ) ) ) @ ( '#B' @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#S' @ ( '#B' @ '#C' @ graph_1808119_V_V_V ) @ ( '#B' @ id_on_V2 @ labele1134902411nt_V_V ) ) ) ) ) @ ( '#B' @ ( '#B' @ ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 @ X4 ) ) ) @ getRel1432786916nt_V_V ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1008]) ).

thf(zip_derived_cl1010,plain,
    ! [X2: v,X4: v,X6: standard_Constant_V] : ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#B' @ ( '#B' @ (=>) @ ( '#B' @ ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 @ X4 ) ) @ ( getRel1432786916nt_V_V @ X6 ) ) ) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#S' @ ( '#B' @ '#C' @ graph_1808119_V_V_V ) @ ( '#B' @ id_on_V2 @ labele1134902411nt_V_V ) ) ) ) @ ( '#B' @ ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 @ X4 ) ) @ ( getRel1432786916nt_V_V @ X6 ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1009]) ).

thf(zip_derived_cl1011,plain,
    ! [X2: v,X4: v,X6: standard_Constant_V,X8: labele2115946735nt_V_V] : ( !! @ ( '#B' @ ( (=>) @ ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 @ X4 ) @ ( getRel1432786916nt_V_V @ X6 @ X8 ) ) ) @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ ( graph_1808119_V_V_V @ X8 ) @ ( id_on_V2 @ ( labele1134902411nt_V_V @ X8 ) ) ) ) @ ( '#B' @ ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 @ X4 ) ) @ ( getRel1432786916nt_V_V @ X6 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1010]) ).

thf(zip_derived_cl1012,plain,
    ! [X2: v,X4: v,X6: standard_Constant_V,X8: labele2115946735nt_V_V,X10: labele2115946735nt_V_V] :
      ( ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 @ X4 ) @ ( getRel1432786916nt_V_V @ X6 @ X8 ) )
     => ( ( graph_1808119_V_V_V @ X8 @ X10 @ ( id_on_V2 @ ( labele1134902411nt_V_V @ X8 ) ) )
       => ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 @ X4 ) @ ( getRel1432786916nt_V_V @ X6 @ X10 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1011]) ).

thf(zip_derived_cl1013,plain,
    ! [X2: v,X4: v,X6: standard_Constant_V,X8: labele2115946735nt_V_V,X10: labele2115946735nt_V_V] :
      ( ~ ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 @ X4 ) @ ( getRel1432786916nt_V_V @ X6 @ X8 ) )
      | ( ( graph_1808119_V_V_V @ X8 @ X10 @ ( id_on_V2 @ ( labele1134902411nt_V_V @ X8 ) ) )
       => ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 @ X4 ) @ ( getRel1432786916nt_V_V @ X6 @ X10 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1012]) ).

thf(zip_derived_cl1014,plain,
    ! [X2: v,X4: v,X6: standard_Constant_V,X8: labele2115946735nt_V_V,X10: labele2115946735nt_V_V] :
      ( ~ ( graph_1808119_V_V_V @ X8 @ X10 @ ( id_on_V2 @ ( labele1134902411nt_V_V @ X8 ) ) )
      | ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 @ X4 ) @ ( getRel1432786916nt_V_V @ X6 @ X10 ) )
      | ~ ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X2 @ X4 ) @ ( getRel1432786916nt_V_V @ X6 @ X8 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1013]) ).

thf(conj_0,conjecture,
    member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ g ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ g ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl471,plain,
    ~ ( member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ g ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6081,plain,
    ! [X0: labele2115946735nt_V_V] :
      ( ~ ( member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ X0 ) )
      | ~ ( graph_1808119_V_V_V @ X0 @ g @ ( id_on_V2 @ ( labele1134902411nt_V_V @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1014,zip_derived_cl471]) ).

thf(zip_derived_cl6206,plain,
    ~ ( member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl6081]) ).

thf(fact_6__092_060open_062_Im_Ax_M_Am_Ax_J_A_092_060in_062_AgetRel_A_IS__Const_Ay_J_A_Imap__graph__fn_AG_H_Ah_J_092_060close_062,axiom,
    member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) ) ).

thf(zip_derived_cl6,plain,
    member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) ),
    inference(cnf,[status(esa)],[fact_6__092_060open_062_Im_Ax_M_Am_Ax_J_A_092_060in_062_AgetRel_A_IS__Const_Ay_J_A_Imap__graph__fn_AG_H_Ah_J_092_060close_062]) ).

thf(zip_derived_cl6209,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl6206,zip_derived_cl6]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : ITP180^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pYW5J6YMlB true
% 0.15/0.37  % Computer : n001.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Sun Aug 27 14:41:18 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  % Running portfolio for 300 s
% 0.15/0.37  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.15/0.38  % Running in HO mode
% 0.22/0.66  % Total configuration time : 828
% 0.22/0.66  % Estimated wc time : 1656
% 0.22/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.80  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.81  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.63/0.87  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 31.18/4.71  % Solved by lams/40_b.comb.sh.
% 31.18/4.71  % done 521 iterations in 3.891s
% 31.18/4.71  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 31.18/4.71  % SZS output start Refutation
% See solution above
% 31.18/4.71  
% 31.18/4.71  
% 31.18/4.71  % Terminating...
% 31.95/4.81  % Runner terminated.
% 31.95/4.81  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------