TSTP Solution File: ITP166^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP166^1 : 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.2GgqOI7qaJ true

% Computer : n009.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 05:22:36 EDT 2023

% Result   : Theorem 0.56s 0.85s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   38 (   7 unt;  20 typ;   0 def)
%            Number of atoms       :   53 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  210 (  14   ~;   6   |;  15   &; 172   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   8 avg)
%            Number of types       :    7 (   6 usr)
%            Number of type conns  :   44 (  44   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   6 con; 0-6 aty)
%                                         (   0  !!;   3  ??;   0 @@+;   0 @@-)
%            Number of variables   :   14 (   3   ^;   7   !;   4   ?;  14   :)

% Comments : 
%------------------------------------------------------------------------------
thf(produc1260470173ar_int_type,type,
    produc1260470173ar_int: $tType ).

thf(com_type,type,
    com: $tType ).

thf(bexp_type,type,
    bexp: $tType ).

thf(nat_type,type,
    nat: $tType ).

thf(relati23543761ar_int_type,type,
    relati23543761ar_int: ( ( list_char > int ) > ( list_char > int ) > $o ) > bexp > com > nat > ( list_char > int ) > ( list_char > int ) > $o ).

thf(s_a_type,type,
    s_a: list_char > int ).

thf(b_type,type,
    b: bexp ).

thf(ta_type,type,
    ta: list_char > int ).

thf(t_a_type,type,
    t_a: list_char > int ).

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

thf(produc1193801173ar_int_type,type,
    produc1193801173ar_int: com > ( list_char > int ) > produc1260470173ar_int ).

thf(c_type,type,
    c: com ).

thf(sa_type,type,
    sa: list_char > int ).

thf(ka_type,type,
    ka: nat ).

thf(p_type,type,
    p: ( list_char > int ) > ( list_char > int ) > $o ).

thf(c2_type,type,
    c2: com ).

thf(bval_type,type,
    bval: bexp > ( list_char > int ) > $o ).

thf(int_type,type,
    int: $tType ).

thf(list_char_type,type,
    list_char: $tType ).

thf(big_big_step_type,type,
    big_big_step: produc1260470173ar_int > ( list_char > int ) > $o ).

thf(fact_3_Suc_Oprems_I4_J,axiom,
    big_big_step @ ( produc1193801173ar_int @ c2 @ s_a ) @ t_a ).

thf(zip_derived_cl3,plain,
    big_big_step @ ( produc1193801173ar_int @ c2 @ s_a ) @ t_a,
    inference(cnf,[status(esa)],[fact_3_Suc_Oprems_I4_J]) ).

thf(fact_0_Suc_Oprems_I6_J,axiom,
    bval @ b @ sa ).

thf(zip_derived_cl0,plain,
    bval @ b @ sa,
    inference(cnf,[status(esa)],[fact_0_Suc_Oprems_I6_J]) ).

thf(conj_0,conjecture,
    ? [S6: list_char > int,S8: list_char > int] :
      ( ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ S6 @ S8 )
      & ( bval @ b @ S6 )
      & ( big_big_step @ ( produc1193801173ar_int @ c @ S6 ) @ ta )
      & ( big_big_step @ ( produc1193801173ar_int @ c2 @ S8 ) @ t_a ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [S6: list_char > int,S8: list_char > int] :
        ( ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ S6 @ S8 )
        & ( bval @ b @ S6 )
        & ( big_big_step @ ( produc1193801173ar_int @ c @ S6 ) @ ta )
        & ( big_big_step @ ( produc1193801173ar_int @ c2 @ S8 ) @ t_a ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl221,plain,
    ~ ( ??
      @ ^ [Y0: list_char > int] :
          ( ??
          @ ^ [Y1: list_char > int] :
              ( ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ Y0 @ Y1 )
              & ( bval @ b @ Y0 )
              & ( big_big_step @ ( produc1193801173ar_int @ c @ Y0 ) @ ta )
              & ( big_big_step @ ( produc1193801173ar_int @ c2 @ Y1 ) @ t_a ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl224,plain,
    ! [X2: list_char > int] :
      ~ ( ??
        @ ^ [Y0: list_char > int] :
            ( ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ X2 @ Y0 )
            & ( bval @ b @ X2 )
            & ( big_big_step @ ( produc1193801173ar_int @ c @ X2 ) @ ta )
            & ( big_big_step @ ( produc1193801173ar_int @ c2 @ Y0 ) @ t_a ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl221]) ).

thf(zip_derived_cl225,plain,
    ! [X2: list_char > int,X4: list_char > int] :
      ~ ( ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ X2 @ X4 )
        & ( bval @ b @ X2 )
        & ( big_big_step @ ( produc1193801173ar_int @ c @ X2 ) @ ta )
        & ( big_big_step @ ( produc1193801173ar_int @ c2 @ X4 ) @ t_a ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl224]) ).

thf(zip_derived_cl226,plain,
    ! [X2: list_char > int,X4: list_char > int] :
      ( ~ ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ X2 @ X4 )
      | ~ ( bval @ b @ X2 )
      | ~ ( big_big_step @ ( produc1193801173ar_int @ c @ X2 ) @ ta )
      | ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ X4 ) @ t_a ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl225]) ).

thf(zip_derived_cl227,plain,
    ! [X0: list_char > int] :
      ( ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ X0 ) @ t_a )
      | ~ ( big_big_step @ ( produc1193801173ar_int @ c @ sa ) @ ta )
      | ~ ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ sa @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl226]) ).

thf(fact_2_Suc_Oprems_I3_J,axiom,
    big_big_step @ ( produc1193801173ar_int @ c @ sa ) @ ta ).

thf(zip_derived_cl2,plain,
    big_big_step @ ( produc1193801173ar_int @ c @ sa ) @ ta,
    inference(cnf,[status(esa)],[fact_2_Suc_Oprems_I3_J]) ).

thf(zip_derived_cl231,plain,
    ! [X0: list_char > int] :
      ( ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ X0 ) @ t_a )
      | ~ ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ sa @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl227,zip_derived_cl2]) ).

thf(zip_derived_cl232,plain,
    ~ ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ sa @ s_a ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl231]) ).

thf(fact_4_Suc_Oprems_I7_J,axiom,
    relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ sa @ s_a ).

thf(zip_derived_cl4,plain,
    relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ sa @ s_a,
    inference(cnf,[status(esa)],[fact_4_Suc_Oprems_I7_J]) ).

thf(zip_derived_cl234,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl232,zip_derived_cl4]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : ITP166^1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2GgqOI7qaJ true
% 0.14/0.35  % Computer : n009.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sun Aug 27 16:33:20 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in HO mode
% 0.54/0.66  % Total configuration time : 828
% 0.54/0.66  % Estimated wc time : 1656
% 0.54/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.72  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.77  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.77  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.56/0.81  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.56/0.85  % Solved by lams/15_e_short1.sh.
% 0.56/0.85  % done 11 iterations in 0.073s
% 0.56/0.85  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.85  % SZS output start Refutation
% See solution above
% 0.56/0.85  
% 0.56/0.85  
% 0.56/0.85  % Terminating...
% 0.64/0.98  % Runner terminated.
% 0.64/0.99  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------