TSTP Solution File: SYO209^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO209^5 : 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.cd14BIfteQ true

% Computer : n032.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 05:50:18 EDT 2023

% Result   : Theorem 195.13s 25.69s
% Output   : Refutation 195.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   29 (  18 unt;   4 typ;   0 def)
%            Number of atoms       :   35 (   6 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  135 (  17   ~;  16   |;   0   &; 100   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   44 (  44   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   67 (  19   ^;  44   !;   4   ?;  67   :)

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

thf(sk__1_type,type,
    sk__1: ( a > $o ) > a ).

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

thf('#l_lift784_type',type,
    '#l_lift784': a > $o ).

thf(cCT29,conjecture,
    ~ ? [Xg: a > a > $o] :
      ! [Xf: a > $o] :
      ? [Xj: a] :
      ! [Xp: ( a > $o ) > $o] :
        ( ( Xp @ ( Xg @ Xj ) )
       => ( Xp @ Xf ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [Xg: a > a > $o] :
    ! [Xf: a > $o] :
    ? [Xj: a] :
    ! [Xp: ( a > $o ) > $o] :
      ( ( Xp @ ( Xg @ Xj ) )
     => ( Xp @ Xf ) ),
    inference('cnf.neg',[status(esa)],[cCT29]) ).

thf(zip_derived_cl0,plain,
    ! [X0: ( a > $o ) > $o,X1: a > $o] :
      ( ( X0 @ X1 )
      | ~ ( X0 @ ( sk_ @ ( sk__1 @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: ( a > $o ) > $o,X1: a > $o] :
      ( ( X0 @ X1 )
      | ~ ( X0 @ ( sk_ @ ( sk__1 @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $o,X1: a > $o,X2: ( a > $o ) > a] :
      ( ~ ( ^ [Y0: a > $o] : ( Y0 @ ( X2 @ Y0 ) )
          @ ( sk_
            @ ( sk__1
              @ ^ [Y0: a] : X0 ) ) )
      | ( ^ [Y0: a > $o] : X0
        @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl0]) ).

thf(zip_derived_cl36,plain,
    ! [X0: $o,X2: ( a > $o ) > a] :
      ( ~ ( sk_
          @ ( sk__1
            @ ^ [Y0: a] : X0 )
          @ ( X2
            @ ( sk_
              @ ( sk__1
                @ ^ [Y0: a] : X0 ) ) ) )
      | X0 ),
    inference(ho_norm,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl37,plain,
    ! [X0: $o,X2: a] :
      ( ~ ( sk_
          @ ( sk__1
            @ ^ [Y0: a] : X0 )
          @ ( ^ [Y0: a > $o] : X2
            @ ( sk_
              @ ( sk__1
                @ ^ [Y0: a] : X0 ) ) ) )
      | X0 ),
    inference(prune_arg_fun,[status(thm)],[zip_derived_cl36]) ).

thf(zip_derived_cl38,plain,
    ! [X0: $o,X2: a] :
      ( ~ ( sk_
          @ ( sk__1
            @ ^ [Y0: a] : X0 )
          @ X2 )
      | X0 ),
    inference(ho_norm,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl0_002,plain,
    ! [X0: ( a > $o ) > $o,X1: a > $o] :
      ( ( X0 @ X1 )
      | ~ ( X0 @ ( sk_ @ ( sk__1 @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11,plain,
    ! [X0: a > $o] :
      ( ^ [Y0: a > $o] :
          ( Y0
          = ( sk_ @ ( sk__1 @ X0 ) ) )
      @ X0 ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl23,plain,
    ! [X0: a > $o] :
      ( X0
      = ( sk_ @ ( sk__1 @ X0 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl24,plain,
    ! [X0: a > $o] :
      ( X0
      = ( sk_ @ ( sk__1 @ X0 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl57,plain,
    ! [X0: a > $o,X1: a] :
      ( ( X0 @ X1 )
      = ( sk_ @ ( sk__1 @ X0 ) @ X1 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl61,plain,
    ! [X0: a > $o,X1: a] :
      ( ( X0 @ X1 )
      | ~ ( sk_ @ ( sk__1 @ X0 ) @ X1 ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl57]) ).

thf(zip_derived_cl111,plain,
    ! [X0: $o] :
      ( X0
      | ~ ( sk_
          @ ( sk__1
            @ ^ [Y0: a] :
                ( sk_
                @ ( ^ [Y1: a] : Y1
                  @ Y0 )
                @ ( ^ [Y1: a] : Y1
                  @ Y0 ) ) )
          @ ( sk__1
            @ ^ [Y0: a] : X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl61]) ).

thf(zip_derived_cl130,plain,
    ! [X0: $o] :
      ( X0
      | ~ ( sk_
          @ ( sk__1
            @ ^ [Y0: a] : ( sk_ @ Y0 @ Y0 ) )
          @ ( sk__1
            @ ^ [Y0: a] : X0 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl111]) ).

thf(zip_derived_cl3533,plain,
    ! [X1: a] :
      ( ( '#l_lift784' @ X1 )
      = ( sk_ @ X1 @ X1 ) ),
    define([status(thm)]) ).

thf(zip_derived_cl60,plain,
    ! [X0: a > $o,X1: a] :
      ( ( sk_ @ ( sk__1 @ X0 ) @ X1 )
      | ~ ( X0 @ X1 ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl57]) ).

thf(zip_derived_cl38_003,plain,
    ! [X0: $o,X2: a] :
      ( ~ ( sk_
          @ ( sk__1
            @ ^ [Y0: a] : X0 )
          @ X2 )
      | X0 ),
    inference(ho_norm,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl61_004,plain,
    ! [X0: a > $o,X1: a] :
      ( ( X0 @ X1 )
      | ~ ( sk_ @ ( sk__1 @ X0 ) @ X1 ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl57]) ).

thf(zip_derived_cl108,plain,
    ! [X0: a,X1: a > $o,X2: a] :
      ( ~ ( sk_
          @ ( sk__1
            @ ^ [Y0: a] : ( sk_ @ ( sk__1 @ X1 ) @ X0 ) )
          @ X2 )
      | ( X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl61]) ).

thf(zip_derived_cl1037,plain,
    ! [X0: a,X1: a,X2: a > $o] :
      ( ~ ( ^ [Y0: a] : ( sk_ @ ( sk__1 @ X2 ) @ X1 )
          @ X0 )
      | ( X2 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl108]) ).

thf(zip_derived_cl1062,plain,
    ! [X1: a,X2: a > $o] :
      ( ~ ( sk_ @ ( sk__1 @ X2 ) @ X1 )
      | ( X2 @ X1 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl1037]) ).

thf(zip_derived_cl24_005,plain,
    ! [X0: a > $o] :
      ( X0
      = ( sk_ @ ( sk__1 @ X0 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl3591,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl3533,zip_derived_cl1062,zip_derived_cl24]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SYO209^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cd14BIfteQ true
% 0.11/0.32  % Computer : n032.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Sat Aug 26 06:19:43 EDT 2023
% 0.11/0.32  % CPUTime  : 
% 0.11/0.32  % Running portfolio for 300 s
% 0.11/0.32  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32  % Number of cores: 8
% 0.11/0.33  % Python version: Python 3.6.8
% 0.11/0.33  % Running in HO mode
% 0.17/0.57  % Total configuration time : 828
% 0.17/0.57  % Estimated wc time : 1656
% 0.17/0.57  % Estimated cpu time (8 cpus) : 207.0
% 0.17/0.68  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.17/0.69  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.17/0.69  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.17/0.69  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.17/0.69  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.17/0.69  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.17/0.70  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.17/0.70  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 195.13/25.69  % Solved by lams/40_c_ic.sh.
% 195.13/25.69  % done 618 iterations in 24.982s
% 195.13/25.69  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 195.13/25.69  % SZS output start Refutation
% See solution above
% 195.13/25.69  
% 195.13/25.69  
% 195.13/25.69  % Terminating...
% 195.13/25.81  % Runner terminated.
% 195.13/25.82  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------