TSTP Solution File: SYO010^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO010^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PL1iqRHZT2 true

% Computer : n017.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 : Fri Sep  1 05:49:11 EDT 2023

% Result   : Theorem 0.21s 0.77s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   22 (  14 unt;   4 typ;   0 def)
%            Number of atoms       :   24 (  10 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   57 (   8   ~;   1   |;   3   &;  37   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   31 (  18   ^;  13   !;   0   ?;  31   :)

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

thf(leibeq_type,type,
    leibeq: $i > $i > $o ).

thf('#sk1_type',type,
    '#sk1': $i ).

thf(f_type,type,
    f: $i > $i ).

thf(leibeq,axiom,
    ( leibeq
    = ( ^ [U: $i,V: $i] :
        ! [Q: $i > $o] :
          ( ( Q @ U )
         => ( Q @ V ) ) ) ) ).

thf('0',plain,
    ( leibeq
    = ( ^ [U: $i,V: $i] :
        ! [Q: $i > $o] :
          ( ( Q @ U )
         => ( Q @ V ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[leibeq]) ).

thf('1',plain,
    ( leibeq
    = ( ^ [V_1: $i,V_2: $i] :
        ! [X4: $i > $o] :
          ( ( X4 @ V_1 )
         => ( X4 @ V_2 ) ) ) ),
    define([status(thm)]) ).

thf(conj,conjecture,
    ( ( ! [X: $i] : ( leibeq @ ( f @ X ) @ X )
      & ( p
        @ ^ [X: $i] : X ) )
   => ( p
      @ ^ [X: $i] : ( f @ X ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ( ! [X4: $i,X6: $i > $o] :
          ( ( X6 @ ( f @ X4 ) )
         => ( X6 @ X4 ) )
      & ( p
        @ ^ [V_1: $i] : V_1 ) )
   => ( p
      @ ^ [V_2: $i] : ( f @ V_2 ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ( ! [X4: $i,X6: $i > $o] :
            ( ( X6 @ ( f @ X4 ) )
           => ( X6 @ X4 ) )
        & ( p
          @ ^ [V_1: $i] : V_1 ) )
     => ( p
        @ ^ [V_2: $i] : ( f @ V_2 ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ( p
    @ ^ [Y0: $i] : Y0 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2,plain,
    ~ ( p
      @ ^ [Y0: $i] : ( f @ Y0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

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

thf(zip_derived_cl4,plain,
    ( ( ^ [Y0: $i] : Y0 )
   != ( ^ [Y0: $i] : ( f @ Y0 ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl1,zip_derived_cl3]) ).

thf(zip_derived_cl5,plain,
    ( ( ^ [Y0: $i] : Y0 )
   != f ),
    inference(ho_norm,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl6,plain,
    ( '#sk1'
   != ( f @ '#sk1' ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i > $o,X1: $i] :
      ( ( X0 @ X1 )
      | ~ ( X0 @ ( f @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i] :
      ( ^ [Y0: $i] :
          ( Y0
          = ( f @ X0 ) )
      @ X0 ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i] :
      ( X0
      = ( f @ X0 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i] :
      ( X0
      = ( f @ X0 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl32]) ).

thf(zip_derived_cl56,plain,
    '#sk1' != '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl33]) ).

thf(zip_derived_cl57,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl56]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO010^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PL1iqRHZT2 true
% 0.14/0.35  % Computer : n017.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 : Sat Aug 26 07:18:40 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
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.21/0.35  % Running in HO mode
% 0.21/0.65  % Total configuration time : 828
% 0.21/0.65  % Estimated wc time : 1656
% 0.21/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.77  % Solved by lams/40_c_ic.sh.
% 0.21/0.77  % done 5 iterations in 0.013s
% 0.21/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.77  % SZS output start Refutation
% See solution above
% 0.21/0.77  
% 0.21/0.77  
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.78  % Terminating...
% 1.56/0.84  % Runner terminated.
% 1.56/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------