TSTP Solution File: ALG285^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ALG285^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QFXhV7omxP true

% Computer : n013.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 : Wed Aug 30 17:12:43 EDT 2023

% Result   : Theorem 0.89s 0.81s
% Output   : Refutation 0.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   39 (  22 unt;   9 typ;   0 def)
%            Number of atoms       :   48 (  47 equ;   0 cnn)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :  214 (  17   ~;   8   |;   8   &; 179   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    1 (   1 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :   71 (   0   ^;  67   !;   4   ?;  71   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

thf(sk__type,type,
    sk_: a ).

thf(sk__2_type,type,
    sk__2: a ).

thf(cE_type,type,
    cE: a ).

thf(sk__3_type,type,
    sk__3: a ).

thf(cJ_type,type,
    cJ: a > a ).

thf(cP_type,type,
    cP: a > a > a ).

thf(sk__4_type,type,
    sk__4: a ).

thf(sk__1_type,type,
    sk__1: a ).

thf(cTHM22_pme,conjecture,
    ( ( ! [Xx: a,Xy: a,Xz: a] :
          ( ( cP @ ( cP @ Xx @ Xy ) @ Xz )
          = ( cP @ Xx @ ( cP @ Xy @ Xz ) ) )
      & ! [Xx: a] :
          ( ( cP @ cE @ Xx )
          = Xx )
      & ! [Xy: a] :
          ( ( cP @ ( cJ @ Xy ) @ Xy )
          = cE ) )
   => ( ! [Xx: a,Xy: a,Xz: a] :
          ( ( cP @ ( cP @ Xx @ Xy ) @ Xz )
          = ( cP @ Xx @ ( cP @ Xy @ Xz ) ) )
      & ! [X: a,Y: a] :
          ( ? [V: a] :
              ( ( cP @ V @ X )
              = Y )
          & ? [U: a] :
              ( ( cP @ X @ U )
              = Y ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [Xx: a,Xy: a,Xz: a] :
            ( ( cP @ ( cP @ Xx @ Xy ) @ Xz )
            = ( cP @ Xx @ ( cP @ Xy @ Xz ) ) )
        & ! [Xx: a] :
            ( ( cP @ cE @ Xx )
            = Xx )
        & ! [Xy: a] :
            ( ( cP @ ( cJ @ Xy ) @ Xy )
            = cE ) )
     => ( ! [Xx: a,Xy: a,Xz: a] :
            ( ( cP @ ( cP @ Xx @ Xy ) @ Xz )
            = ( cP @ Xx @ ( cP @ Xy @ Xz ) ) )
        & ! [X: a,Y: a] :
            ( ? [V: a] :
                ( ( cP @ V @ X )
                = Y )
            & ? [U: a] :
                ( ( cP @ X @ U )
                = Y ) ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM22_pme]) ).

thf(zip_derived_cl2,plain,
    ! [X4: a] :
      ( ( cP @ ( cJ @ X4 ) @ X4 )
      = cE ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_001,plain,
    ! [X4: a] :
      ( ( cP @ ( cJ @ X4 ) @ X4 )
      = cE ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ! [X0: a,X1: a,X2: a] :
      ( ( cP @ ( cP @ X0 @ X1 ) @ X2 )
      = ( cP @ X0 @ ( cP @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ! [X0: a,X1: a] :
      ( ( cP @ cE @ X0 )
      = ( cP @ ( cJ @ X1 ) @ ( cP @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl1,plain,
    ! [X3: a] :
      ( ( cP @ cE @ X3 )
      = X3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12,plain,
    ! [X0: a,X1: a] :
      ( X0
      = ( cP @ ( cJ @ X1 ) @ ( cP @ X1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl1]) ).

thf(zip_derived_cl21,plain,
    ! [X0: a] :
      ( X0
      = ( cP @ ( cJ @ ( cJ @ X0 ) ) @ cE ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl12]) ).

thf(zip_derived_cl12_002,plain,
    ! [X0: a,X1: a] :
      ( X0
      = ( cP @ ( cJ @ X1 ) @ ( cP @ X1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl1]) ).

thf(zip_derived_cl12_003,plain,
    ! [X0: a,X1: a] :
      ( X0
      = ( cP @ ( cJ @ X1 ) @ ( cP @ X1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl1]) ).

thf(zip_derived_cl18,plain,
    ! [X0: a,X1: a] :
      ( ( cP @ X1 @ X0 )
      = ( cP @ ( cJ @ ( cJ @ X1 ) ) @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl12]) ).

thf(zip_derived_cl90,plain,
    ! [X0: a] :
      ( ( cP @ X0 @ cE )
      = X0 ),
    inference('sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl18]) ).

thf(zip_derived_cl21_004,plain,
    ! [X0: a] :
      ( X0
      = ( cP @ ( cJ @ ( cJ @ X0 ) ) @ cE ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl12]) ).

thf(zip_derived_cl103,plain,
    ! [X0: a] :
      ( X0
      = ( cJ @ ( cJ @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl90,zip_derived_cl21]) ).

thf(zip_derived_cl12_005,plain,
    ! [X0: a,X1: a] :
      ( X0
      = ( cP @ ( cJ @ X1 ) @ ( cP @ X1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl1]) ).

thf(zip_derived_cl128,plain,
    ! [X0: a,X1: a] :
      ( X1
      = ( cP @ X0 @ ( cP @ ( cJ @ X0 ) @ X1 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl103,zip_derived_cl12]) ).

thf(zip_derived_cl2_006,plain,
    ! [X4: a] :
      ( ( cP @ ( cJ @ X4 ) @ X4 )
      = cE ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_007,plain,
    ! [X0: a,X1: a,X2: a] :
      ( ( cP @ ( cP @ X0 @ X1 ) @ X2 )
      = ( cP @ X0 @ ( cP @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X5: a,X6: a] :
      ( ( ( cP @ ( cP @ sk_ @ sk__1 ) @ sk__2 )
       != ( cP @ sk_ @ ( cP @ sk__1 @ sk__2 ) ) )
      | ( ( cP @ sk__3 @ X5 )
       != sk__4 )
      | ( ( cP @ X6 @ sk__3 )
       != sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_008,plain,
    ! [X0: a,X1: a,X2: a] :
      ( ( cP @ ( cP @ X0 @ X1 ) @ X2 )
      = ( cP @ X0 @ ( cP @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl44,plain,
    ! [X5: a,X6: a] :
      ( ( ( cP @ sk_ @ ( cP @ sk__1 @ sk__2 ) )
       != ( cP @ sk_ @ ( cP @ sk__1 @ sk__2 ) ) )
      | ( ( cP @ sk__3 @ X5 )
       != sk__4 )
      | ( ( cP @ X6 @ sk__3 )
       != sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).

thf(zip_derived_cl45,plain,
    ! [X5: a,X6: a] :
      ( ( ( cP @ X6 @ sk__3 )
       != sk__4 )
      | ( ( cP @ sk__3 @ X5 )
       != sk__4 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl44]) ).

thf(zip_derived_cl49,plain,
    ! [X0: a,X1: a,X2: a] :
      ( ( ( cP @ X1 @ ( cP @ X0 @ sk__3 ) )
       != sk__4 )
      | ( ( cP @ sk__3 @ X2 )
       != sk__4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl45]) ).

thf(zip_derived_cl283,plain,
    ! [X0: a,X1: a] :
      ( ( ( cP @ X0 @ cE )
       != sk__4 )
      | ( ( cP @ sk__3 @ X1 )
       != sk__4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl49]) ).

thf(zip_derived_cl90_009,plain,
    ! [X0: a] :
      ( ( cP @ X0 @ cE )
      = X0 ),
    inference('sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl18]) ).

thf(zip_derived_cl299,plain,
    ! [X0: a,X1: a] :
      ( ( X0 != sk__4 )
      | ( ( cP @ sk__3 @ X1 )
       != sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl283,zip_derived_cl90]) ).

thf(zip_derived_cl300,plain,
    ! [X1: a] :
      ( ( cP @ sk__3 @ X1 )
     != sk__4 ),
    inference(simplify,[status(thm)],[zip_derived_cl299]) ).

thf(zip_derived_cl311,plain,
    ! [X0: a] : ( X0 != sk__4 ),
    inference('sup-',[status(thm)],[zip_derived_cl128,zip_derived_cl300]) ).

thf(zip_derived_cl315,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl311]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ALG285^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QFXhV7omxP true
% 0.14/0.34  % Computer : n013.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 : Mon Aug 28 05:07:02 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.35  % Number of cores: 8
% 0.21/0.35  % Python version: Python 3.6.8
% 0.21/0.35  % Running in HO mode
% 0.22/0.66  % Total configuration time : 828
% 0.22/0.66  % Estimated wc time : 1656
% 0.22/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.89/0.81  % Solved by lams/40_c.s.sh.
% 0.89/0.81  % done 65 iterations in 0.042s
% 0.89/0.81  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.89/0.81  % SZS output start Refutation
% See solution above
% 0.89/0.81  
% 0.89/0.81  
% 0.89/0.81  % Terminating...
% 1.68/0.85  % Runner terminated.
% 1.68/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------