TSTP Solution File: MSC007^1.003.004 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : MSC007^1.003.004 : TPTP v8.1.2. Released v5.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.uidvNkLpFN true

% Computer : n010.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 09:31:46 EDT 2023

% Result   : Theorem 147.14s 19.49s
% Output   : Refutation 147.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   39 (  15 unt;  11 typ;   0 def)
%            Number of atoms       :   50 (  49 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   91 (  34   ~;  25   |;   4   &;  27   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :   27 (   4   ^;  19   !;   4   ?;  27   :)

% Comments : 
%------------------------------------------------------------------------------
thf(pigeon_type,type,
    pigeon: $tType ).

thf(hole_type,type,
    hole: $tType ).

thf(hole3_type,type,
    hole3: hole ).

thf(pigeon4_type,type,
    pigeon4: pigeon ).

thf(hole1_type,type,
    hole1: hole ).

thf(pigeon2_type,type,
    pigeon2: pigeon ).

thf(pigeon_hole_type,type,
    pigeon_hole: pigeon > hole ).

thf('#_fresh_sk1_type',type,
    '#_fresh_sk1': hole > pigeon ).

thf(pigeon3_type,type,
    pigeon3: pigeon ).

thf(pigeon1_type,type,
    pigeon1: pigeon ).

thf(hole2_type,type,
    hole2: hole ).

thf(pigeon1pigeon3,axiom,
    pigeon1 != pigeon3 ).

thf(zip_derived_cl2,plain,
    pigeon1 != pigeon3,
    inference(cnf,[status(esa)],[pigeon1pigeon3]) ).

thf(pigeon3pigeon4,axiom,
    pigeon3 != pigeon4 ).

thf(zip_derived_cl6,plain,
    pigeon3 != pigeon4,
    inference(cnf,[status(esa)],[pigeon3pigeon4]) ).

thf(pigeon1pigeon4,axiom,
    pigeon1 != pigeon4 ).

thf(zip_derived_cl4,plain,
    pigeon1 != pigeon4,
    inference(cnf,[status(esa)],[pigeon1pigeon4]) ).

thf(pigeon2pigeon3,axiom,
    pigeon2 != pigeon3 ).

thf(zip_derived_cl3,plain,
    pigeon2 != pigeon3,
    inference(cnf,[status(esa)],[pigeon2pigeon3]) ).

thf(pigeon1pigeon2,axiom,
    pigeon1 != pigeon2 ).

thf(zip_derived_cl1,plain,
    pigeon1 != pigeon2,
    inference(cnf,[status(esa)],[pigeon1pigeon2]) ).

thf(sharing_a_hole,conjecture,
    ? [X: pigeon,Y: pigeon] :
      ( ( X != Y )
      & ( ( pigeon_hole @ X )
        = ( pigeon_hole @ Y ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [X: pigeon,Y: pigeon] :
        ( ( X != Y )
        & ( ( pigeon_hole @ X )
          = ( pigeon_hole @ Y ) ) ),
    inference('cnf.neg',[status(esa)],[sharing_a_hole]) ).

thf(zip_derived_cl7,plain,
    ! [X0: pigeon,X1: pigeon] :
      ( ( X1 = X0 )
      | ( ( pigeon_hole @ X1 )
       != ( pigeon_hole @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7_001,plain,
    ! [X0: pigeon,X1: pigeon] :
      ( ( X1 = X0 )
      | ( ( pigeon_hole @ X1 )
       != ( pigeon_hole @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl210,plain,
    ! [X1: pigeon] :
      ( ( '#_fresh_sk1' @ ( pigeon_hole @ X1 ) )
      = X1 ),
    inference(inj_rec,[status(thm)],[zip_derived_cl7]) ).

thf(pigeon2pigeon4,axiom,
    pigeon2 != pigeon4 ).

thf(zip_derived_cl5,plain,
    pigeon2 != pigeon4,
    inference(cnf,[status(esa)],[pigeon2pigeon4]) ).

thf(holecover,axiom,
    ! [P: hole > $o] :
      ( ( ( P @ hole1 )
        & ( P @ hole2 )
        & ( P @ hole3 ) )
     => ! [X: hole] : ( P @ X ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: hole > $o,X1: hole] :
      ( ( X0 @ X1 )
      | ~ ( X0 @ hole3 )
      | ~ ( X0 @ hole2 )
      | ~ ( X0 @ hole1 ) ),
    inference(cnf,[status(esa)],[holecover]) ).

thf(zip_derived_cl34,plain,
    ! [X0: hole] :
      ( ( ^ [Y0: hole] : ( X0 != Y0 )
        @ X0 )
      | ~ ( ^ [Y0: hole] : ( X0 != Y0 )
          @ hole3 )
      | ~ ( ^ [Y0: hole] : ( X0 != Y0 )
          @ hole2 )
      | ~ ( ^ [Y0: hole] : ( X0 != Y0 )
          @ hole1 ) ),
    inference('elim_leibniz_eq_+',[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl127,plain,
    ! [X0: hole] :
      ( ( X0 != X0 )
      | ( X0 != hole3 )
      | ( X0 != hole2 )
      | ( X0 != hole1 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl34]) ).

thf(zip_derived_cl128,plain,
    ! [X0: hole] :
      ( ( X0 != hole3 )
      | ( X0 != hole2 )
      | ( X0 != hole1 ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl127]) ).

thf(zip_derived_cl129,plain,
    ! [X0: hole] :
      ( ( X0 = hole3 )
      | ( X0 = hole2 )
      | ( X0 = hole1 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl128]) ).

thf(zip_derived_cl129_002,plain,
    ! [X0: hole] :
      ( ( X0 = hole3 )
      | ( X0 = hole2 )
      | ( X0 = hole1 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl128]) ).

thf(zip_derived_cl406,plain,
    ! [X0: hole,X1: hole] :
      ( ( X1 = X0 )
      | ( X0 = hole1 )
      | ( X0 = hole2 )
      | ( X1 = hole1 )
      | ( X1 = hole2 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl129,zip_derived_cl129]) ).

thf(zip_derived_cl210_003,plain,
    ! [X1: pigeon] :
      ( ( '#_fresh_sk1' @ ( pigeon_hole @ X1 ) )
      = X1 ),
    inference(inj_rec,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl1229,plain,
    ! [X0: hole,X1: pigeon] :
      ( ( ( '#_fresh_sk1' @ X0 )
        = X1 )
      | ( ( pigeon_hole @ X1 )
        = hole2 )
      | ( ( pigeon_hole @ X1 )
        = hole1 )
      | ( X0 = hole2 )
      | ( X0 = hole1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl406,zip_derived_cl210]) ).

thf(zip_derived_cl87734,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl2,zip_derived_cl6,zip_derived_cl4,zip_derived_cl3,zip_derived_cl1,zip_derived_cl7,zip_derived_cl210,zip_derived_cl5,zip_derived_cl1229]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : MSC007^1.003.004 : TPTP v8.1.2. Released v5.4.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.uidvNkLpFN true
% 0.14/0.36  % Computer : n010.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug 24 13:35:36 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.37  % Running in HO mode
% 0.21/0.67  % Total configuration time : 828
% 0.21/0.67  % Estimated wc time : 1656
% 0.21/0.67  % Estimated cpu time (8 cpus) : 207.0
% 1.19/0.77  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.19/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.19/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.19/0.78  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.19/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.19/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.19/0.78  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.19/0.80  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 147.14/19.49  % Solved by lams/40_noforms.sh.
% 147.14/19.49  % done 1203 iterations in 18.672s
% 147.14/19.49  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 147.14/19.49  % SZS output start Refutation
% See solution above
% 147.14/19.49  
% 147.14/19.49  
% 147.14/19.49  % Terminating...
% 147.75/19.52  % Runner terminated.
% 147.75/19.52  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------