TSTP Solution File: SYO277^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO277^5 : 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.4gCkxpj2ix true

% Computer : n001.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 05:50:33 EDT 2023

% Result   : Theorem 1.35s 0.93s
% Output   : Refutation 1.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   35 (  11 unt;   5 typ;   0 def)
%            Number of atoms       :   48 (  19 equ;   2 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  189 (  30   ~;  36   |;   0   &; 117   @)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   30 (  30   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   37 (  13   ^;  24   !;   0   ?;  37   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__4_type,type,
    sk__4: ( $i > $i > $o ) > $i ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(sk__3_type,type,
    sk__3: $i > $o ).

thf(sk__2_type,type,
    sk__2: $i > $i > $o ).

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

thf(cTHM47D,conjecture,
    ! [X: $i,Y: $i] :
      ( ! [Xq: $i > $o] :
          ( ( Xq @ X )
         => ( Xq @ Y ) )
    <=> ! [R: $i > $i > $o] :
          ( ! [Z: $i] : ( R @ Z @ Z )
         => ( R @ X @ Y ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i,Y: $i] :
        ( ! [Xq: $i > $o] :
            ( ( Xq @ X )
           => ( Xq @ Y ) )
      <=> ! [R: $i > $i > $o] :
            ( ! [Z: $i] : ( R @ Z @ Z )
           => ( R @ X @ Y ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM47D]) ).

thf(zip_derived_cl2,plain,
    ( ~ ( sk__2 @ sk_ @ sk__1 )
    | ( sk__3 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i > $i > $o,X1: $i > $o] :
      ( ~ ( X0 @ ( sk__4 @ X0 ) @ ( sk__4 @ X0 ) )
      | ( X0 @ sk_ @ sk__1 )
      | ~ ( X1 @ sk_ )
      | ( X1 @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i > $i > $o] :
      ( ( X0 @ sk_ @ sk__1 )
      | ~ ( X0 @ ( sk__4 @ X0 ) @ ( sk__4 @ X0 ) )
      | ( ^ [Y0: $i] : ( Y0 = sk_ )
        @ sk__1 ) ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i > $i > $o] :
      ( ( X0 @ sk_ @ sk__1 )
      | ~ ( X0 @ ( sk__4 @ X0 ) @ ( sk__4 @ X0 ) )
      | ( sk__1 = sk_ ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i > $i > $o] :
      ( ( X0 @ sk_ @ sk__1 )
      | ~ ( X0 @ ( sk__4 @ X0 ) @ ( sk__4 @ X0 ) )
      | ( sk__1 = sk_ ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl56]) ).

thf(zip_derived_cl340,plain,
    ( ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 )
      @ sk_
      @ sk__1 )
    | ~ ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 )
        @ ( sk__4
          @ ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 ) )
        @ ( sk__4
          @ ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 ) ) )
    | ( sk__1 = sk_ ) ),
    inference('ho.refine',[status(thm)],[zip_derived_cl57]) ).

thf(zip_derived_cl358,plain,
    ( ( sk_ = sk__1 )
    | ( ( sk__4 @ (=) )
     != ( sk__4 @ (=) ) )
    | ( sk__1 = sk_ ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl340]) ).

thf(zip_derived_cl359,plain,
    ( ( sk_ = sk__1 )
    | ( sk__1 = sk_ ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl358]) ).

thf(zip_derived_cl360,plain,
    ( ( sk_ = sk__1 )
    | ( sk__1 = sk_ ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl359]) ).

thf(zip_derived_cl361,plain,
    sk_ = sk__1,
    inference(simplify,[status(thm)],[zip_derived_cl360]) ).

thf(zip_derived_cl438,plain,
    ( ~ ( sk__2 @ sk_ @ sk_ )
    | ( sk__3 @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl361]) ).

thf(zip_derived_cl4,plain,
    ! [X2: $i] :
      ( ( sk__2 @ X2 @ X2 )
      | ( sk__3 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X2: $i] :
      ( ( sk__2 @ X2 @ X2 )
      | ~ ( sk__3 @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3_001,plain,
    ! [X2: $i] :
      ( ( sk__2 @ X2 @ X2 )
      | ~ ( sk__3 @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_002,plain,
    ! [X0: $i > $i > $o,X1: $i > $o] :
      ( ~ ( X0 @ ( sk__4 @ X0 ) @ ( sk__4 @ X0 ) )
      | ( X0 @ sk_ @ sk__1 )
      | ~ ( X1 @ sk_ )
      | ( X1 @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl96,plain,
    ! [X1: $i > $i > $o] :
      ( ~ ( sk__3 @ sk__1 )
      | ( ^ [Y0: $i] :
            ( sk__2
            @ ( ^ [Y1: $i] :
                  ( ^ [Y2: $i] : sk_
                  @ Y1 )
              @ Y0 )
            @ ( ^ [Y1: $i] : Y1
              @ Y0 ) )
        @ sk__1 )
      | ( X1 @ sk_ @ sk__1 )
      | ~ ( X1 @ ( sk__4 @ X1 ) @ ( sk__4 @ X1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).

thf(zip_derived_cl103,plain,
    ! [X1: $i > $i > $o] :
      ( ~ ( sk__3 @ sk__1 )
      | ( sk__2 @ sk_ @ sk__1 )
      | ( X1 @ sk_ @ sk__1 )
      | ~ ( X1 @ ( sk__4 @ X1 ) @ ( sk__4 @ X1 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl96]) ).

thf(zip_derived_cl1,plain,
    ( ~ ( sk__2 @ sk_ @ sk__1 )
    | ~ ( sk__3 @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl253,plain,
    ! [X1: $i > $i > $o] :
      ( ~ ( X1 @ ( sk__4 @ X1 ) @ ( sk__4 @ X1 ) )
      | ( X1 @ sk_ @ sk__1 )
      | ~ ( sk__3 @ sk__1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl103,zip_derived_cl1]) ).

thf(zip_derived_cl265,plain,
    ( ~ ( sk__3 @ sk__1 )
    | ~ ( sk__3 @ sk__1 )
    | ( sk__2 @ sk_ @ sk__1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl253]) ).

thf(zip_derived_cl315,plain,
    ( ( sk__2 @ sk_ @ sk__1 )
    | ~ ( sk__3 @ sk__1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl265]) ).

thf(zip_derived_cl1_003,plain,
    ( ~ ( sk__2 @ sk_ @ sk__1 )
    | ~ ( sk__3 @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl325,plain,
    ~ ( sk__3 @ sk__1 ),
    inference(clc,[status(thm)],[zip_derived_cl315,zip_derived_cl1]) ).

thf(zip_derived_cl361_004,plain,
    sk_ = sk__1,
    inference(simplify,[status(thm)],[zip_derived_cl360]) ).

thf(zip_derived_cl442,plain,
    ~ ( sk__3 @ sk_ ),
    inference(demod,[status(thm)],[zip_derived_cl325,zip_derived_cl361]) ).

thf(zip_derived_cl443,plain,
    ! [X2: $i] : ( sk__2 @ X2 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl442]) ).

thf(zip_derived_cl442_005,plain,
    ~ ( sk__3 @ sk_ ),
    inference(demod,[status(thm)],[zip_derived_cl325,zip_derived_cl361]) ).

thf(zip_derived_cl481,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl438,zip_derived_cl443,zip_derived_cl442]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO277^5 : 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.4gCkxpj2ix true
% 0.14/0.34  % Computer : n001.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
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sat Aug 26 05:23:15 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
% 0.14/0.35  % Running in HO mode
% 0.22/0.65  % Total configuration time : 828
% 0.22/0.65  % Estimated wc time : 1656
% 0.22/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 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/15_e_short1.sh running for 30s
% 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/20_acsne_simpl.sh running for 40s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.35/0.93  % Solved by lams/40_c.s.sh.
% 1.35/0.93  % done 42 iterations in 0.170s
% 1.35/0.93  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.35/0.93  % SZS output start Refutation
% See solution above
% 1.35/0.93  
% 1.35/0.93  
% 1.35/0.93  % Terminating...
% 1.54/1.03  % Runner terminated.
% 1.54/1.03  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------