TSTP Solution File: SYN374^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN374^5 : 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.R606ZiJUM0 true

% Computer : n003.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 04:03:04 EDT 2023

% Result   : Theorem 0.20s 0.79s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   45 (   8 unt;   9 typ;   0 def)
%            Number of atoms       :   79 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  145 (  28   ~;  34   |;   0   &;  74   @)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   46 (   0   ^;  41   !;   5   ?;  46   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__1_type,type,
    sk__1: $i ).

thf(cP_type,type,
    cP: $i > $o ).

thf(zip_tseitin_1_type,type,
    zip_tseitin_1: $o ).

thf(sk__4_type,type,
    sk__4: $i > $i ).

thf(zip_tseitin_0_type,type,
    zip_tseitin_0: $i > $i > $o ).

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

thf(sk__5_type,type,
    sk__5: $i ).

thf(cX2125,conjecture,
    ( ? [Xx: $i] :
      ! [Xy: $i] :
        ( ( cP @ Xx )
      <=> ( cP @ Xy ) )
  <=> ( ? [Xx: $i] : ( cP @ Xx )
    <=> ! [Xy: $i] : ( cP @ Xy ) ) ) ).

thf(zf_stmt_0,type,
    zip_tseitin_1: $o ).

thf(zf_stmt_1,axiom,
    ( zip_tseitin_1
  <=> ( ? [Xx: $i] : ( cP @ Xx )
    <=> ! [Xy: $i] : ( cP @ Xy ) ) ) ).

thf(zf_stmt_2,type,
    zip_tseitin_0: $i > $i > $o ).

thf(zf_stmt_3,axiom,
    ! [Xy: $i,Xx: $i] :
      ( ( zip_tseitin_0 @ Xy @ Xx )
    <=> ( ( cP @ Xx )
      <=> ( cP @ Xy ) ) ) ).

thf(zf_stmt_4,conjecture,
    ( ? [Xx: $i] :
      ! [Xy: $i] : ( zip_tseitin_0 @ Xy @ Xx )
  <=> zip_tseitin_1 ) ).

thf(zf_stmt_5,negated_conjecture,
    ~ ( ? [Xx: $i] :
        ! [Xy: $i] : ( zip_tseitin_0 @ Xy @ Xx )
    <=> zip_tseitin_1 ),
    inference('cnf.neg',[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl9,plain,
    ! [X1: $i] :
      ( ~ zip_tseitin_1
      | ~ ( zip_tseitin_0 @ ( sk__4 @ X1 ) @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( zip_tseitin_1
      | ~ ( cP @ sk_ )
      | ~ ( cP @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl11,plain,
    ( zip_tseitin_1
    | ~ ( cP @ sk_ ) ),
    inference(condensation,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( zip_tseitin_1
      | ( zip_tseitin_0 @ X0 @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cP @ X0 )
      | ( cP @ X1 )
      | ~ ( zip_tseitin_0 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i] :
      ( zip_tseitin_1
      | ( cP @ X0 )
      | ~ ( cP @ sk__5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl1]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cP @ X0 )
      | ( cP @ X1 )
      | ~ zip_tseitin_1 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i] :
      ( ~ ( cP @ sk__5 )
      | ( cP @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl25,zip_derived_cl5]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i] :
      ( zip_tseitin_1
      | ( cP @ X0 )
      | ( cP @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl10,plain,
    ( zip_tseitin_1
    | ( cP @ sk__1 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl8_001,plain,
    ! [X0: $i] :
      ( zip_tseitin_1
      | ( zip_tseitin_0 @ X0 @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cP @ X0 )
      | ( cP @ X1 )
      | ~ ( zip_tseitin_0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i] :
      ( zip_tseitin_1
      | ( cP @ sk__5 )
      | ~ ( cP @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl0]) ).

thf(zip_derived_cl5_002,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cP @ X0 )
      | ( cP @ X1 )
      | ~ zip_tseitin_1 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i] :
      ( ~ ( cP @ X0 )
      | ( cP @ sk__5 ) ),
    inference(clc,[status(thm)],[zip_derived_cl12,zip_derived_cl5]) ).

thf(zip_derived_cl19,plain,
    ( zip_tseitin_1
    | ( cP @ sk__5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl18]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i] :
      ( ( cP @ X0 )
      | zip_tseitin_1 ),
    inference('sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl19]) ).

thf(zip_derived_cl48,plain,
    ( zip_tseitin_1
    | zip_tseitin_1 ),
    inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl34]) ).

thf(zip_derived_cl54,plain,
    zip_tseitin_1,
    inference(simplify,[status(thm)],[zip_derived_cl48]) ).

thf(zip_derived_cl59,plain,
    ! [X1: $i] :
      ~ ( zip_tseitin_0 @ ( sk__4 @ X1 ) @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl54]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_0 @ X0 @ X1 )
      | ( cP @ X0 )
      | ( cP @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_0 @ X0 @ X1 )
      | ~ ( cP @ X0 )
      | ~ ( cP @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl5_003,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cP @ X0 )
      | ( cP @ X1 )
      | ~ zip_tseitin_1 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl54_004,plain,
    zip_tseitin_1,
    inference(simplify,[status(thm)],[zip_derived_cl48]) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cP @ X0 )
      | ( cP @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl54]) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cP @ X1 )
      | ( zip_tseitin_0 @ X0 @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2,zip_derived_cl58]) ).

thf(zip_derived_cl59_005,plain,
    ! [X1: $i] :
      ~ ( zip_tseitin_0 @ ( sk__4 @ X1 ) @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl54]) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i] :
      ~ ( cP @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl59]) ).

thf(zip_derived_cl63_006,plain,
    ! [X0: $i] :
      ~ ( cP @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl59]) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i,X1: $i] : ( zip_tseitin_0 @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl63,zip_derived_cl63]) ).

thf(zip_derived_cl68,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl67]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN374^5 : 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.R606ZiJUM0 true
% 0.13/0.35  % Computer : n003.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Aug 26 17:32:09 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % 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
% 0.20/0.63  % Total configuration time : 828
% 0.20/0.63  % Estimated wc time : 1656
% 0.20/0.63  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.79  % Solved by lams/40_c.s.sh.
% 0.20/0.79  % done 26 iterations in 0.017s
% 0.20/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.79  % SZS output start Refutation
% See solution above
% 0.20/0.79  
% 0.20/0.79  
% 0.20/0.79  % Terminating...
% 1.46/0.85  % Runner terminated.
% 1.46/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------