TSTP Solution File: SEV427^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV427^1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DY7PrQ6uAs 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 20:00:45 EDT 2023

% Result   : Theorem 0.22s 0.75s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   22 (   3 unt;   3 typ;   0 def)
%            Number of atoms       :   44 (   0 equ;   1 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   78 (   7   ~;   7   |;   0   &;  51   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   3 usr;   4 con; 0-1 aty)
%                                         (   2  !!;   6  ??;   0 @@+;   0 @@-)
%            Number of variables   :   15 (   8   ^;   6   !;   1   ?;  15   :)

% Comments : 
%------------------------------------------------------------------------------
thf(q_type,type,
    q: $i > $o ).

thf(eps_type,type,
    eps: ( $i > $o ) > $i ).

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

thf(choiceax,axiom,
    ! [P: $i > $o] :
      ( ? [X: $i] : ( P @ X )
     => ( P @ ( eps @ P ) ) ) ).

thf(zip_derived_cl0,plain,
    ( !!
    @ ^ [Y0: $i > $o] :
        ( ( ??
          @ ^ [Y1: $i] : ( Y0 @ Y1 ) )
       => ( Y0 @ ( eps @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[choiceax]) ).

thf(zip_derived_cl11,plain,
    ! [X2: $i > $o] :
      ( ( ??
        @ ^ [Y0: $i] : ( X2 @ Y0 ) )
     => ( X2 @ ( eps @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl13,plain,
    ( ( ??
      @ ^ [Y0: $i] : ( p @ Y0 ) )
   => ( p @ ( eps @ p ) ) ),
    inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl11]) ).

thf(conj,conjecture,
    ( ( p @ ( eps @ p ) )
    | ( q @ ( eps @ q ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( p @ ( eps @ p ) )
      | ( q @ ( eps @ q ) ) ),
    inference('cnf.neg',[status(esa)],[conj]) ).

thf(zip_derived_cl2,plain,
    ~ ( ( p @ ( eps @ p ) )
      | ( q @ ( eps @ q ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ~ ( p @ ( eps @ p ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl36,plain,
    ( ( ??
      @ ^ [Y0: $i] : ( p @ Y0 ) )
   => $false ),
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl3]) ).

thf(zip_derived_cl37,plain,
    ( (~)
    @ ( ??
      @ ^ [Y0: $i] : ( p @ Y0 ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl36]) ).

thf(zip_derived_cl38,plain,
    ~ ( ??
      @ ^ [Y0: $i] : ( p @ Y0 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl39,plain,
    ! [X2: $i] :
      ~ ( p @ X2 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl38]) ).

thf(pq,axiom,
    ! [X: $i] :
      ( ( p @ X )
      | ( q @ X ) ) ).

thf(zip_derived_cl1,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( p @ Y0 )
        | ( q @ Y0 ) ) ),
    inference(cnf,[status(esa)],[pq]) ).

thf(zip_derived_cl5,plain,
    ! [X2: $i] :
      ( ( p @ X2 )
      | ( q @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i] :
      ( ( p @ X2 )
      | ( q @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl4,plain,
    ~ ( q @ ( eps @ q ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl7,plain,
    p @ ( eps @ q ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl4]) ).

thf(zip_derived_cl41,plain,
    $false,
    inference('sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl7]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEV427^1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DY7PrQ6uAs true
% 0.18/0.35  % Computer : n008.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Thu Aug 24 03:37:02 EDT 2023
% 0.18/0.35  % CPUTime  : 
% 0.18/0.35  % Running portfolio for 300 s
% 0.18/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.35  % Number of cores: 8
% 0.18/0.35  % Python version: Python 3.6.8
% 0.18/0.35  % Running in HO mode
% 0.22/0.64  % Total configuration time : 828
% 0.22/0.64  % Estimated wc time : 1656
% 0.22/0.64  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.71  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.75  % Solved by lams/35_full_unif4.sh.
% 0.22/0.75  % done 9 iterations in 0.011s
% 0.22/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.75  % SZS output start Refutation
% See solution above
% 0.22/0.75  
% 0.22/0.75  
% 0.22/0.75  % Terminating...
% 0.22/0.85  % Runner terminated.
% 0.22/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------