TSTP Solution File: ITP125^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP125^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.EVrovEXmMr true

% Computer : n023.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 05:22:20 EDT 2023

% Result   : Theorem 88.70s 12.27s
% Output   : Refutation 88.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   37 (   8 unt;  17 typ;   0 def)
%            Number of atoms       :   60 (   0 equ;   6 cnn)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  200 (   5   ~;   3   |;   0   &; 161   @)
%                                         (   0 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   8 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :   27 (  27   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  13 usr;   7 con; 0-6 aty)
%                                         (  18  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   42 (   6   ^;  24   !;   0   ?;  42   :)
%                                         (  12  !>;   0  ?*;   0  @-;   0  @+)

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

thf(prefix1027212443list_a_type,type,
    prefix1027212443list_a: $tType ).

thf(trace_1367752404list_a_type,type,
    trace_1367752404list_a: $tType ).

thf(formula_a_type,type,
    formula_a: $tType ).

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

thf(sigma_type,type,
    sigma: trace_1367752404list_a ).

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

thf(plen_P694648887list_a_type,type,
    plen_P694648887list_a: prefix1027212443list_a > nat ).

thf(k_type,type,
    k: nat ).

thf(pi_type,type,
    pi: prefix1027212443list_a ).

thf(monito1457594016ress_a_type,type,
    monito1457594016ress_a: trace_1367752404list_a > formula_a > nat > nat ).

thf(phi_1_type,type,
    phi_1: formula_a ).

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(conj_0,conjecture,
    ord_less_nat @ k @ ( plen_P694648887list_a @ pi ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ord_less_nat @ k @ ( plen_P694648887list_a @ pi ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl486,plain,
    ~ ( ord_less_nat @ k @ ( plen_P694648887list_a @ pi ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_20_progress__le,axiom,
    ! [Sigma: trace_1367752404list_a,Phi: formula_a,J: nat] : ( ord_less_eq_nat @ ( monito1457594016ress_a @ Sigma @ Phi @ J ) @ J ) ).

thf(zip_derived_cl33,plain,
    ( !!
    @ ^ [Y0: trace_1367752404list_a] :
        ( !!
        @ ^ [Y1: formula_a] :
            ( !!
            @ ^ [Y2: nat] : ( ord_less_eq_nat @ ( monito1457594016ress_a @ Y0 @ Y1 @ Y2 ) @ Y2 ) ) ) ),
    inference(cnf,[status(esa)],[fact_20_progress__le]) ).

thf(zip_derived_cl34,plain,
    !! @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ ord_less_eq_nat ) ) @ monito1457594016ress_a ) ) ) @ '#I' ) ) ),
    inference(lams2combs,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl735,plain,
    ! [X2: trace_1367752404list_a] : ( !! @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ ord_less_eq_nat ) @ ( monito1457594016ress_a @ X2 ) ) ) @ '#I' ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl34]) ).

thf(zip_derived_cl736,plain,
    ! [X2: trace_1367752404list_a,X4: formula_a] : ( !! @ ( '#S' @ ( '#B' @ ord_less_eq_nat @ ( monito1457594016ress_a @ X2 @ X4 ) ) @ '#I' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl735]) ).

thf(zip_derived_cl737,plain,
    ! [X2: trace_1367752404list_a,X4: formula_a,X6: nat] : ( ord_less_eq_nat @ ( monito1457594016ress_a @ X2 @ X4 @ X6 ) @ X6 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl736]) ).

thf(fact_0__092_060open_062k_A_060_AMonitor__Mirabelle__prbptmgypa_Oprogress_A_092_060sigma_062_A_092_060phi_0621_A_Iplen_A_092_060pi_062_J_092_060close_062,axiom,
    ord_less_nat @ k @ ( monito1457594016ress_a @ sigma @ phi_1 @ ( plen_P694648887list_a @ pi ) ) ).

thf(zip_derived_cl0,plain,
    ord_less_nat @ k @ ( monito1457594016ress_a @ sigma @ phi_1 @ ( plen_P694648887list_a @ pi ) ),
    inference(cnf,[status(esa)],[fact_0__092_060open_062k_A_060_AMonitor__Mirabelle__prbptmgypa_Oprogress_A_092_060sigma_062_A_092_060phi_0621_A_Iplen_A_092_060pi_062_J_092_060close_062]) ).

thf(fact_176_less__le__trans,axiom,
    ! [X: nat,Y: nat,Z4: nat] :
      ( ( ord_less_nat @ X @ Y )
     => ( ( ord_less_eq_nat @ Y @ Z4 )
       => ( ord_less_nat @ X @ Z4 ) ) ) ).

thf(zip_derived_cl299,plain,
    ( !!
    @ ^ [Y0: nat] :
        ( !!
        @ ^ [Y1: nat] :
            ( !!
            @ ^ [Y2: nat] :
                ( ( ord_less_nat @ Y0 @ Y1 )
               => ( ( ord_less_eq_nat @ Y1 @ Y2 )
                 => ( ord_less_nat @ Y0 @ Y2 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_176_less__le__trans]) ).

thf(zip_derived_cl300,plain,
    !! @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#B' ) @ ( '#B' @ ( '#B' @ (=>) ) @ ord_less_nat ) ) ) @ ( '#B' @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ord_less_eq_nat ) ) ) @ ord_less_nat ) ) ) ),
    inference(lams2combs,[status(thm)],[zip_derived_cl299]) ).

thf(zip_derived_cl1128,plain,
    ! [X2: nat] : ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#B' @ ( '#B' @ (=>) @ ( ord_less_nat @ X2 ) ) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ord_less_eq_nat ) ) @ ( ord_less_nat @ X2 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl300]) ).

thf(zip_derived_cl1129,plain,
    ! [X2: nat,X4: nat] : ( !! @ ( '#B' @ ( (=>) @ ( ord_less_nat @ X2 @ X4 ) ) @ ( '#S' @ ( '#B' @ (=>) @ ( ord_less_eq_nat @ X4 ) ) @ ( ord_less_nat @ X2 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1128]) ).

thf(zip_derived_cl1130,plain,
    ! [X2: nat,X4: nat,X6: nat] :
      ( ( ord_less_nat @ X2 @ X4 )
     => ( ( ord_less_eq_nat @ X4 @ X6 )
       => ( ord_less_nat @ X2 @ X6 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1129]) ).

thf(zip_derived_cl1131,plain,
    ! [X2: nat,X4: nat,X6: nat] :
      ( ~ ( ord_less_nat @ X2 @ X4 )
      | ( ( ord_less_eq_nat @ X4 @ X6 )
       => ( ord_less_nat @ X2 @ X6 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1130]) ).

thf(zip_derived_cl1132,plain,
    ! [X2: nat,X4: nat,X6: nat] :
      ( ~ ( ord_less_eq_nat @ X4 @ X6 )
      | ( ord_less_nat @ X2 @ X6 )
      | ~ ( ord_less_nat @ X2 @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1131]) ).

thf(zip_derived_cl11346,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl486,zip_derived_cl737,zip_derived_cl0,zip_derived_cl1132]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : ITP125^1 : TPTP v8.1.2. Released v7.5.0.
% 0.11/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.EVrovEXmMr true
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sun Aug 27 17:04:26 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.34  % Python version: Python 3.6.8
% 0.14/0.34  % Running in HO mode
% 0.52/0.57  % Total configuration time : 828
% 0.52/0.57  % Estimated wc time : 1656
% 0.52/0.57  % Estimated cpu time (8 cpus) : 207.0
% 1.01/0.67  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.01/0.67  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.01/0.67  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.01/0.68  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.01/0.68  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.01/0.68  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.01/0.68  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.01/0.69  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.32/0.73  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.32/0.73  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 88.70/12.27  % Solved by lams/40_b.comb.sh.
% 88.70/12.27  % done 580 iterations in 11.557s
% 88.70/12.27  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 88.70/12.27  % SZS output start Refutation
% See solution above
% 88.70/12.27  
% 88.70/12.27  
% 88.70/12.27  % Terminating...
% 88.87/12.33  % Runner terminated.
% 88.89/12.34  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------