TSTP Solution File: ITP054^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP054^1 : 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.Le1majkZFm true

% Computer : n026.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 05:21:53 EDT 2023

% Result   : Theorem 64.82s 9.03s
% Output   : Refutation 64.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   25 (   8 unt;   9 typ;   0 def)
%            Number of atoms       :   39 (   2 equ;   2 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  108 (  10   ~;   0   |;   0   &;  77   @)
%                                         (   2 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   7 usr;   6 con; 0-2 aty)
%                                         (   9  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   18 (   9   ^;   9   !;   0   ?;  18   :)

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

thf(list_c1059388851t_unit_type,type,
    list_c1059388851t_unit: $tType ).

thf(index_type,type,
    index: nat ).

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

thf(suc_type,type,
    suc: nat > nat ).

thf(nMsg_type,type,
    nMsg: nat ).

thf(fe_type,type,
    fe: nat > list_c1059388851t_unit ).

thf(n1_type,type,
    n1: nat ).

thf(size_s1406904903t_unit_type,type,
    size_s1406904903t_unit: list_c1059388851t_unit > nat ).

thf(fact_0_AssumpGreaterOccurrence_I1_J,axiom,
    ~ ( ord_less_nat @ nMsg @ n1 ) ).

thf(zip_derived_cl0,plain,
    ~ ( ord_less_nat @ nMsg @ n1 ),
    inference(cnf,[status(esa)],[fact_0_AssumpGreaterOccurrence_I1_J]) ).

thf(fact_1__092_060open_062nMsg_A_060_Alength_A_Ife_Aindex_J_092_060close_062,axiom,
    ord_less_nat @ nMsg @ ( size_s1406904903t_unit @ ( fe @ index ) ) ).

thf(zip_derived_cl1,plain,
    ord_less_nat @ nMsg @ ( size_s1406904903t_unit @ ( fe @ index ) ),
    inference(cnf,[status(esa)],[fact_1__092_060open_062nMsg_A_060_Alength_A_Ife_Aindex_J_092_060close_062]) ).

thf(fact_29_less__trans__Suc,axiom,
    ! [I2: nat,J: nat,K2: nat] :
      ( ( ord_less_nat @ I2 @ J )
     => ( ( ord_less_nat @ J @ K2 )
       => ( ord_less_nat @ ( suc @ I2 ) @ K2 ) ) ) ).

thf(zip_derived_cl29,plain,
    ( !!
    @ ^ [Y0: nat] :
        ( !!
        @ ^ [Y1: nat] :
            ( !!
            @ ^ [Y2: nat] :
                ( ( ord_less_nat @ Y0 @ Y1 )
               => ( ( ord_less_nat @ Y1 @ Y2 )
                 => ( ord_less_nat @ ( suc @ Y0 ) @ Y2 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_29_less__trans__Suc]) ).

thf(conj_0,conjecture,
    ord_less_nat @ n1 @ ( size_s1406904903t_unit @ ( fe @ index ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ord_less_nat @ n1 @ ( size_s1406904903t_unit @ ( fe @ index ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl261,plain,
    ~ ( ord_less_nat @ n1 @ ( size_s1406904903t_unit @ ( fe @ index ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_37_less__SucI,axiom,
    ! [M: nat,N: nat] :
      ( ( ord_less_nat @ M @ N )
     => ( ord_less_nat @ M @ ( suc @ N ) ) ) ).

thf(zip_derived_cl37,plain,
    ( !!
    @ ^ [Y0: nat] :
        ( !!
        @ ^ [Y1: nat] :
            ( ( ord_less_nat @ Y0 @ Y1 )
           => ( ord_less_nat @ Y0 @ ( suc @ Y1 ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_37_less__SucI]) ).

thf(fact_54_linorder__neqE__nat,axiom,
    ! [X: nat,Y: nat] :
      ( ( X != Y )
     => ( ~ ( ord_less_nat @ X @ Y )
       => ( ord_less_nat @ Y @ X ) ) ) ).

thf(zip_derived_cl54,plain,
    ( !!
    @ ^ [Y0: nat] :
        ( !!
        @ ^ [Y1: nat] :
            ( ( Y0 != Y1 )
           => ( ( (~) @ ( ord_less_nat @ Y0 @ Y1 ) )
             => ( ord_less_nat @ Y1 @ Y0 ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_54_linorder__neqE__nat]) ).

thf(fact_34_not__less__eq,axiom,
    ! [M: nat,N: nat] :
      ( ~ ( ord_less_nat @ M @ N )
    <=> ( ord_less_nat @ N @ ( suc @ M ) ) ) ).

thf(zip_derived_cl34,plain,
    ( !!
    @ ^ [Y0: nat] :
        ( !!
        @ ^ [Y1: nat] :
            ( ( (~) @ ( ord_less_nat @ Y0 @ Y1 ) )
          <=> ( ord_less_nat @ Y1 @ ( suc @ Y0 ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_34_not__less__eq]) ).

thf(zip_derived_cl6544,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl0,zip_derived_cl1,zip_derived_cl29,zip_derived_cl261,zip_derived_cl37,zip_derived_cl54,zip_derived_cl34]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP054^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Le1majkZFm true
% 0.17/0.34  % Computer : n026.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.20/0.34  % CPULimit : 300
% 0.20/0.34  % WCLimit  : 300
% 0.20/0.34  % DateTime : Sun Aug 27 11:47:19 EDT 2023
% 0.20/0.34  % CPUTime  : 
% 0.20/0.34  % Running portfolio for 300 s
% 0.20/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.35  % Number of cores: 8
% 0.20/0.35  % Python version: Python 3.6.8
% 0.20/0.35  % Running in HO mode
% 0.21/0.62  % Total configuration time : 828
% 0.21/0.62  % Estimated wc time : 1656
% 0.21/0.62  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.65  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.65  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.67  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.69  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.69  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.70  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.21/0.70  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.70  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 64.82/9.03  % Solved by lams/15_e_short1.sh.
% 64.82/9.03  % done 277 iterations in 8.288s
% 64.82/9.03  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 64.82/9.03  % SZS output start Refutation
% See solution above
% 64.82/9.03  
% 64.82/9.03  
% 64.82/9.03  % Terminating...
% 65.08/9.14  % Runner terminated.
% 65.08/9.15  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------