TSTP Solution File: ITP051^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP051^1 : 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.P4c7iLh4D7 true

% Computer : n008.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 05:21:51 EDT 2023

% Result   : Theorem 9.69s 1.90s
% Output   : Refutation 9.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   38 (  16 unt;  16 typ;   0 def)
%            Number of atoms       :   31 (   9 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  105 (   8   ~;   5   |;   1   &;  88   @)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    6 (   5 usr)
%            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   5 con; 0-3 aty)
%            Number of variables   :   12 (   0   ^;  12   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(nat_type,type,
    nat: $tType ).

thf(list_P559422087at_nat_type,type,
    list_P559422087at_nat: $tType ).

thf(product_prod_nat_nat_type,type,
    product_prod_nat_nat: $tType ).

thf(min_dist_a_type,type,
    min_dist_a: ( product_prod_nat_nat > a ) > nat > nat > nat ).

thf(b_type,type,
    b: $tType ).

thf(s_type,type,
    s: nat ).

thf(size_s1990949619at_nat_type,type,
    size_s1990949619at_nat: list_P559422087at_nat > nat ).

thf(a_type,type,
    a: $tType ).

thf(ord_less_nat_type,type,
    ord_less_nat: nat > nat > $o ).

thf(p2_type,type,
    p2: list_P559422087at_nat ).

thf(ord_less_eq_nat_type,type,
    ord_less_eq_nat: nat > nat > $o ).

thf(p_type,type,
    p: list_P559422087at_nat ).

thf(min_dist_b_type,type,
    min_dist_b: ( product_prod_nat_nat > b ) > nat > nat > nat ).

thf(t_type,type,
    t: nat ).

thf(c2_type,type,
    c2: product_prod_nat_nat > b ).

thf(c_type,type,
    c: product_prod_nat_nat > a ).

thf(fact_13__092_060open_062length_Ap_A_060_Alength_Ap_H_092_060close_062,axiom,
    ord_less_nat @ ( size_s1990949619at_nat @ p ) @ ( size_s1990949619at_nat @ p2 ) ).

thf(zip_derived_cl13,plain,
    ord_less_nat @ ( size_s1990949619at_nat @ p ) @ ( size_s1990949619at_nat @ p2 ),
    inference(cnf,[status(esa)],[fact_13__092_060open_062length_Ap_A_060_Alength_Ap_H_092_060close_062]) ).

thf(fact_103_nat__less__le,axiom,
    ! [M2: nat,N2: nat] :
      ( ( ord_less_nat @ M2 @ N2 )
    <=> ( ( ord_less_eq_nat @ M2 @ N2 )
        & ( M2 != N2 ) ) ) ).

thf(zip_derived_cl175,plain,
    ! [X0: nat,X1: nat] :
      ( ( ord_less_eq_nat @ X0 @ X1 )
      | ~ ( ord_less_nat @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[fact_103_nat__less__le]) ).

thf(fact_6_SHORTER,axiom,
    ord_less_nat @ ( min_dist_b @ c2 @ s @ t ) @ ( min_dist_a @ c @ s @ t ) ).

thf(zip_derived_cl6,plain,
    ord_less_nat @ ( min_dist_b @ c2 @ s @ t ) @ ( min_dist_a @ c @ s @ t ),
    inference(cnf,[status(esa)],[fact_6_SHORTER]) ).

thf(fact_2_LENP_H,axiom,
    ( ( size_s1990949619at_nat @ p2 )
    = ( min_dist_b @ c2 @ s @ t ) ) ).

thf(zip_derived_cl2,plain,
    ( ( size_s1990949619at_nat @ p2 )
    = ( min_dist_b @ c2 @ s @ t ) ),
    inference(cnf,[status(esa)],[fact_2_LENP_H]) ).

thf(fact_1_LENP,axiom,
    ( ( size_s1990949619at_nat @ p )
    = ( min_dist_a @ c @ s @ t ) ) ).

thf(zip_derived_cl1,plain,
    ( ( size_s1990949619at_nat @ p )
    = ( min_dist_a @ c @ s @ t ) ),
    inference(cnf,[status(esa)],[fact_1_LENP]) ).

thf(zip_derived_cl531,plain,
    ord_less_nat @ ( size_s1990949619at_nat @ p2 ) @ ( size_s1990949619at_nat @ p ),
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl2,zip_derived_cl1]) ).

thf(zip_derived_cl611,plain,
    ord_less_eq_nat @ ( size_s1990949619at_nat @ p2 ) @ ( size_s1990949619at_nat @ p ),
    inference('sup+',[status(thm)],[zip_derived_cl175,zip_derived_cl531]) ).

thf(fact_96_le__antisym,axiom,
    ! [M: nat,N: nat] :
      ( ( ord_less_eq_nat @ M @ N )
     => ( ( ord_less_eq_nat @ N @ M )
       => ( M = N ) ) ) ).

thf(zip_derived_cl162,plain,
    ! [X0: nat,X1: nat] :
      ( ~ ( ord_less_eq_nat @ X0 @ X1 )
      | ( X1 = X0 )
      | ~ ( ord_less_eq_nat @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[fact_96_le__antisym]) ).

thf(zip_derived_cl2450,plain,
    ( ~ ( ord_less_eq_nat @ ( size_s1990949619at_nat @ p ) @ ( size_s1990949619at_nat @ p2 ) )
    | ( ( size_s1990949619at_nat @ p )
      = ( size_s1990949619at_nat @ p2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl611,zip_derived_cl162]) ).

thf(zip_derived_cl175_001,plain,
    ! [X0: nat,X1: nat] :
      ( ( ord_less_eq_nat @ X0 @ X1 )
      | ~ ( ord_less_nat @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[fact_103_nat__less__le]) ).

thf(zip_derived_cl13_002,plain,
    ord_less_nat @ ( size_s1990949619at_nat @ p ) @ ( size_s1990949619at_nat @ p2 ),
    inference(cnf,[status(esa)],[fact_13__092_060open_062length_Ap_A_060_Alength_Ap_H_092_060close_062]) ).

thf(zip_derived_cl610,plain,
    ord_less_eq_nat @ ( size_s1990949619at_nat @ p ) @ ( size_s1990949619at_nat @ p2 ),
    inference('sup+',[status(thm)],[zip_derived_cl175,zip_derived_cl13]) ).

thf(zip_derived_cl2452,plain,
    ( ( size_s1990949619at_nat @ p )
    = ( size_s1990949619at_nat @ p2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2450,zip_derived_cl610]) ).

thf(fact_122_less__not__refl,axiom,
    ! [N: nat] :
      ~ ( ord_less_nat @ N @ N ) ).

thf(zip_derived_cl219,plain,
    ! [X0: nat] :
      ~ ( ord_less_nat @ X0 @ X0 ),
    inference(cnf,[status(esa)],[fact_122_less__not__refl]) ).

thf(zip_derived_cl2495,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl2452,zip_derived_cl219]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP051^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.P4c7iLh4D7 true
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sun Aug 27 14:14:32 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.20/0.68  % Total configuration time : 828
% 0.20/0.68  % Estimated wc time : 1656
% 0.20/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.78  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.78  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.78  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.78  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.78  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.20/0.79  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.20/0.83  % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 0.20/0.83  % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s
% 0.20/0.83  % /export/starexec/sandbox/solver/bin/lams/15_lifting3.sh running for 30s
% 0.20/0.83  % /export/starexec/sandbox/solver/bin/lams/33_shallow_sine.sh running for 66s
% 0.20/0.83  % /export/starexec/sandbox/solver/bin/lams/40_e_lift.sh running for 80s
% 0.20/0.84  % /export/starexec/sandbox/solver/bin/lams/15_lifting1.sh running for 30s
% 1.11/0.86  % /export/starexec/sandbox/solver/bin/lams/8_new_cnf.sh running for 16s
% 1.11/0.87  % /export/starexec/sandbox/solver/bin/lams/10_e_short2.sh running for 20s
% 1.11/0.91  % /export/starexec/sandbox/solver/bin/lams/8_add_var_l_av.sh running for 16s
% 1.82/0.94  % /export/starexec/sandbox/solver/bin/lams/8_new_sh_or.sh running for 16s
% 1.85/0.98  % /export/starexec/sandbox/solver/bin/lams/30_old_zip1.sh running for 36s
% 9.69/1.90  % Solved by lams/15_lifting1.sh.
% 9.69/1.90  % done 573 iterations in 1.042s
% 9.69/1.90  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 9.69/1.90  % SZS output start Refutation
% See solution above
% 9.69/1.90  
% 9.69/1.90  
% 9.69/1.90  % Terminating...
% 10.50/2.00  % Runner terminated.
% 10.50/2.00  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------