TSTP Solution File: SYO037^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO037^1 : 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.xfMxWFy9h2 true

% Computer : n023.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 05:49:18 EDT 2023

% Result   : Theorem 143.58s 18.79s
% Output   : Refutation 143.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   35 (  18 unt;   4 typ;   0 def)
%            Number of atoms       :   58 (  23 equ;   6 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  215 (  35   ~;  29   |;   0   &; 149   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   52 (  52   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   74 (  16   ^;  56   !;   2   ?;  74   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#l_lift33772_type',type,
    '#l_lift33772': ( $i > $o ) > $i > $o ).

thf('#_fresh_sk9_type',type,
    '#_fresh_sk9': $i > $i > $o ).

thf('#l_lift33775_type',type,
    '#l_lift33775': $i > $o ).

thf(sk__type,type,
    sk_: ( $i > $o ) > $i ).

thf(conj,conjecture,
    ~ ? [H: ( $i > $o ) > $i] :
      ! [P: $i > $o,Q: $i > $o] :
        ( ( ( H @ P )
          = ( H @ Q ) )
       => ( P = Q ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [H: ( $i > $o ) > $i] :
    ! [P: $i > $o,Q: $i > $o] :
      ( ( ( H @ P )
        = ( H @ Q ) )
     => ( P = Q ) ),
    inference('cnf.neg',[status(esa)],[conj]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i > $o,X1: $i > $o] :
      ( ( X1 = X0 )
      | ( ( sk_ @ X1 )
       != ( sk_ @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl25,plain,
    ! [X1: $i > $o] :
      ( ( '#_fresh_sk9' @ ( sk_ @ X1 ) )
      = X1 ),
    inference(inj_rec,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl33,plain,
    ! [X1: $i > $o,X2: $i] :
      ( ( '#_fresh_sk9' @ ( sk_ @ X1 ) @ X2 )
      = ( X1 @ X2 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl372,plain,
    ! [X0: $i > $o,X1: $i] :
      ( ( X0 @ X1 )
      | ~ ( '#_fresh_sk9' @ ( sk_ @ X0 ) @ X1 ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl25_001,plain,
    ! [X1: $i > $o] :
      ( ( '#_fresh_sk9' @ ( sk_ @ X1 ) )
      = X1 ),
    inference(inj_rec,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl372_002,plain,
    ! [X0: $i > $o,X1: $i] :
      ( ( X0 @ X1 )
      | ~ ( '#_fresh_sk9' @ ( sk_ @ X0 ) @ X1 ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl372_003,plain,
    ! [X0: $i > $o,X1: $i] :
      ( ( X0 @ X1 )
      | ~ ( '#_fresh_sk9' @ ( sk_ @ X0 ) @ X1 ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl389,plain,
    ! [X0: $i > $o] :
      ( ~ ( '#_fresh_sk9'
          @ ( sk_
            @ ^ [Y0: $i] :
                ( '#_fresh_sk9'
                @ ( ^ [Y1: $i] : Y1
                  @ Y0 )
                @ ( ^ [Y1: $i] : Y1
                  @ Y0 ) ) )
          @ ( sk_ @ X0 ) )
      | ( X0 @ ( sk_ @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl372,zip_derived_cl372]) ).

thf(zip_derived_cl400,plain,
    ! [X0: $i > $o] :
      ( ~ ( '#_fresh_sk9'
          @ ( sk_
            @ ^ [Y0: $i] : ( '#_fresh_sk9' @ Y0 @ Y0 ) )
          @ ( sk_ @ X0 ) )
      | ( X0 @ ( sk_ @ X0 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl389]) ).

thf(zip_derived_cl373,plain,
    ! [X0: $i > $o,X1: $i] :
      ( ( '#_fresh_sk9' @ ( sk_ @ X0 ) @ X1 )
      | ~ ( X0 @ X1 ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl0_004,plain,
    ! [X0: $i > $o,X1: $i > $o] :
      ( ( X1 = X0 )
      | ( ( sk_ @ X1 )
       != ( sk_ @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i > $o,X1: $i > $o,X2: $i] :
      ( ( ( X1 @ X2 )
        = ( X0 @ X2 ) )
      | ( ( sk_ @ X1 )
       != ( sk_ @ X0 ) ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl544,plain,
    ! [X0: $i > $o,X1: $i > $o,X2: $i] :
      ( ( ( sk_ @ X1 )
       != ( sk_ @ X0 ) )
      | ( X1 @ X2 )
      | ~ ( X0 @ X2 ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl546,plain,
    ! [X0: $i > $o,X1: $i > $o] :
      ( ~ ( X0 @ ( sk_ @ X0 ) )
      | ( X1 @ ( sk_ @ X0 ) )
      | ( ( sk_ @ X1 )
       != ( sk_
          @ ^ [Y0: $i] :
              ( '#_fresh_sk9'
              @ ( ^ [Y1: $i] : Y1
                @ Y0 )
              @ ( ^ [Y1: $i] : Y1
                @ Y0 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl373,zip_derived_cl544]) ).

thf(zip_derived_cl569,plain,
    ! [X0: $i > $o,X1: $i > $o] :
      ( ~ ( X0 @ ( sk_ @ X0 ) )
      | ( X1 @ ( sk_ @ X0 ) )
      | ( ( sk_ @ X1 )
       != ( sk_
          @ ^ [Y0: $i] : ( '#_fresh_sk9' @ Y0 @ Y0 ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl546]) ).

thf(zip_derived_cl10380,plain,
    ! [X2: $i] :
      ( ( '#l_lift33775' @ X2 )
      = ( '#_fresh_sk9' @ X2 @ X2 ) ),
    define([status(thm)]) ).

thf(zip_derived_cl10400,plain,
    ! [X0: $i > $o] :
      ( ~ ( '#_fresh_sk9' @ ( sk_ @ '#l_lift33775' ) @ ( sk_ @ X0 ) )
      | ( X0 @ ( sk_ @ X0 ) ) ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl400,zip_derived_cl10380]) ).

thf(zip_derived_cl544_005,plain,
    ! [X0: $i > $o,X1: $i > $o,X2: $i] :
      ( ( ( sk_ @ X1 )
       != ( sk_ @ X0 ) )
      | ( X1 @ X2 )
      | ~ ( X0 @ X2 ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl549,plain,
    ! [X0: $i > $o,X1: $i > $o,X2: $i] :
      ( ( ( sk_ @ X0 )
       != ( sk_
          @ ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) ) ) )
      | ( X0 @ X2 )
      | ~ ( ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) )
          @ X2 ) ),
    inference('ho.refine',[status(thm)],[zip_derived_cl544]) ).

thf(zip_derived_cl560,plain,
    ! [X0: $i > $o,X1: $i > $o,X2: $i] :
      ( ( ( sk_ @ X0 )
       != ( sk_
          @ ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) ) ) )
      | ( X0 @ X2 )
      | ~ ( (~) @ ( X1 @ X2 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl549]) ).

thf(zip_derived_cl561,plain,
    ! [X0: $i > $o,X1: $i > $o,X2: $i] :
      ( ( ( sk_ @ X0 )
       != ( sk_
          @ ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) ) ) )
      | ( X0 @ X2 )
      | ( X1 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl560]) ).

thf(zip_derived_cl10365,plain,
    ! [X1: $i > $o,X3: $i] :
      ( ( '#l_lift33772' @ X1 @ X3 )
      = ( (~) @ ( X1 @ X3 ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl373_006,plain,
    ! [X0: $i > $o,X1: $i] :
      ( ( '#_fresh_sk9' @ ( sk_ @ X0 ) @ X1 )
      | ~ ( X0 @ X1 ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl373_007,plain,
    ! [X0: $i > $o,X1: $i] :
      ( ( '#_fresh_sk9' @ ( sk_ @ X0 ) @ X1 )
      | ~ ( X0 @ X1 ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl453,plain,
    ! [X0: $i > $o] :
      ( ~ ( X0 @ ( sk_ @ X0 ) )
      | ( '#_fresh_sk9'
        @ ( sk_
          @ ^ [Y0: $i] :
              ( '#_fresh_sk9'
              @ ( ^ [Y1: $i] : Y1
                @ Y0 )
              @ ( ^ [Y1: $i] : Y1
                @ Y0 ) ) )
        @ ( sk_ @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl373,zip_derived_cl373]) ).

thf(zip_derived_cl476,plain,
    ! [X0: $i > $o] :
      ( ~ ( X0 @ ( sk_ @ X0 ) )
      | ( '#_fresh_sk9'
        @ ( sk_
          @ ^ [Y0: $i] : ( '#_fresh_sk9' @ Y0 @ Y0 ) )
        @ ( sk_ @ X0 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl453]) ).

thf(zip_derived_cl10380_008,plain,
    ! [X2: $i] :
      ( ( '#l_lift33775' @ X2 )
      = ( '#_fresh_sk9' @ X2 @ X2 ) ),
    define([status(thm)]) ).

thf(zip_derived_cl10399,plain,
    ! [X0: $i > $o] :
      ( ~ ( X0 @ ( sk_ @ X0 ) )
      | ( '#_fresh_sk9' @ ( sk_ @ '#l_lift33775' ) @ ( sk_ @ X0 ) ) ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl476,zip_derived_cl10380]) ).

thf(zip_derived_cl10417,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl372,zip_derived_cl25,zip_derived_cl10400,zip_derived_cl10365,zip_derived_cl10399]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYO037^1 : TPTP v8.1.2. Released v3.7.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xfMxWFy9h2 true
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 00:08:41 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.53/0.63  % Total configuration time : 828
% 0.53/0.63  % Estimated wc time : 1656
% 0.53/0.63  % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.75  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.75  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.75  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.76  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.79  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 143.58/18.79  % Solved by lams/40_noforms.sh.
% 143.58/18.79  % done 1584 iterations in 18.013s
% 143.58/18.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 143.58/18.79  % SZS output start Refutation
% See solution above
% 143.58/18.79  
% 143.58/18.79  
% 143.58/18.79  % Terminating...
% 144.12/18.89  % Runner terminated.
% 144.12/18.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------