TSTP Solution File: SYO105^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO105^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Y7HwhWCW80 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 05:49:45 EDT 2023

% Result   : Theorem 1.44s 0.78s
% Output   : Refutation 1.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   56 (  11 unt;  16 typ;   0 def)
%            Number of atoms       :   88 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  249 (  40   ~;  35   |;   0   &; 161   @)
%                                         (   5 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   19 (  19   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  14 usr;   7 con; 0-4 aty)
%            Number of variables   :   72 (   0   ^;  62   !;  10   ?;  72   :)

% Comments : 
%------------------------------------------------------------------------------
thf(zip_tseitin_1_type,type,
    zip_tseitin_1: $i > $i > $i > $i > $o ).

thf(cR_type,type,
    cR: $i > $o ).

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

thf(sk__7_type,type,
    sk__7: $i > $i ).

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

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

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

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

thf(cQ_type,type,
    cQ: $i > $i > $o ).

thf(y_type,type,
    y: $i ).

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

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

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

thf(sk__6_type,type,
    sk__6: $i ).

thf(cX2201TEST,conjecture,
    ( ~ ( ? [Xx: $i] : ( cQ @ Xx @ y )
       => ~ ! [Xz: $i] :
              ( ! [Xu: $i] : ( cP @ Xu @ y @ Xz )
             => ~ ? [Xv: $i] : ( cR @ Xv ) ) )
  <=> ? [Xx: $i] :
      ! [Xz: $i] :
      ? [Xu: $i] :
      ! [Xv: $i] :
        ~ ( ( cQ @ Xx @ y )
         => ~ ( ( cP @ Xu @ y @ Xz )
             => ~ ( cR @ Xv ) ) ) ) ).

thf(zf_stmt_0,axiom,
    ! [Xv: $i,Xu: $i,Xz: $i,Xx: $i] :
      ( ( zip_tseitin_1 @ Xv @ Xu @ Xz @ Xx )
    <=> ( ( cQ @ Xx @ y )
       => ~ ( ( cP @ Xu @ y @ Xz )
           => ~ ( cR @ Xv ) ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 )
      | ( cQ @ X3 @ y ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zf_stmt_1,type,
    zip_tseitin_1: $i > $i > $i > $i > $o ).

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

thf(zf_stmt_3,axiom,
    ( zip_tseitin_0
  <=> ( ? [Xx: $i] : ( cQ @ Xx @ y )
     => ~ ! [Xz: $i] :
            ( ! [Xu: $i] : ( cP @ Xu @ y @ Xz )
           => ~ ? [Xv: $i] : ( cR @ Xv ) ) ) ) ).

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

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

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( zip_tseitin_1 @ X0 @ ( sk__7 @ X1 ) @ X1 @ sk__6 )
      | ~ zip_tseitin_0 ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl3,plain,
    ( zip_tseitin_0
    | ( cQ @ sk__1 @ y ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl9,plain,
    ! [X2: $i,X3: $i] :
      ( ( zip_tseitin_1 @ ( sk__5 @ X2 @ X3 ) @ X2 @ ( sk__4 @ X3 ) @ X3 )
      | zip_tseitin_0 ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( cQ @ X0 @ y )
      | ( cR @ X1 )
      | ~ ( zip_tseitin_1 @ X1 @ X2 @ X3 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( zip_tseitin_0
      | ( cR @ ( sk__5 @ X1 @ X0 ) )
      | ~ ( cQ @ X0 @ y ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl5]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i] :
      ( zip_tseitin_0
      | ( cR @ ( sk__5 @ X0 @ sk__1 ) )
      | zip_tseitin_0 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl10]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i] :
      ( ( cR @ ( sk__5 @ X0 @ sk__1 ) )
      | zip_tseitin_0 ),
    inference(simplify,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl3_001,plain,
    ( zip_tseitin_0
    | ( cQ @ sk__1 @ y ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl9_002,plain,
    ! [X2: $i,X3: $i] :
      ( ( zip_tseitin_1 @ ( sk__5 @ X2 @ X3 ) @ X2 @ ( sk__4 @ X3 ) @ X3 )
      | zip_tseitin_0 ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( cQ @ X0 @ y )
      | ( cP @ X1 @ y @ X2 )
      | ~ ( zip_tseitin_1 @ X3 @ X1 @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i] :
      ( zip_tseitin_0
      | ( cP @ X1 @ y @ ( sk__4 @ X0 ) )
      | ~ ( cQ @ X0 @ y ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl4]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i] :
      ( zip_tseitin_0
      | ( cP @ X0 @ y @ ( sk__4 @ sk__1 ) )
      | zip_tseitin_0 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl18]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i] :
      ( ( cP @ X0 @ y @ ( sk__4 @ sk__1 ) )
      | zip_tseitin_0 ),
    inference(simplify,[status(thm)],[zip_derived_cl22]) ).

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

thf(zip_derived_cl26,plain,
    ! [X0: $i] :
      ( zip_tseitin_0
      | ~ ( cR @ X0 )
      | zip_tseitin_0 ),
    inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl2]) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i] :
      ( ~ ( cR @ X0 )
      | zip_tseitin_0 ),
    inference(simplify,[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl30,plain,
    ( zip_tseitin_0
    | zip_tseitin_0 ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl28]) ).

thf(zip_derived_cl32,plain,
    zip_tseitin_0,
    inference(simplify,[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i,X1: $i] :
      ~ ( zip_tseitin_1 @ X0 @ ( sk__7 @ X1 ) @ X1 @ sk__6 ),
    inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl32]) ).

thf(zip_derived_cl43,plain,
    cQ @ sk__6 @ y,
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl36]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i] :
      ( ~ ( cQ @ X0 @ y )
      | ( cR @ sk__2 )
      | ~ zip_tseitin_0 ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl32_003,plain,
    zip_tseitin_0,
    inference(simplify,[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i] :
      ( ~ ( cQ @ X0 @ y )
      | ( cR @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl32]) ).

thf(zip_derived_cl47,plain,
    cR @ sk__2,
    inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl35]) ).

thf(zip_derived_cl43_004,plain,
    cQ @ sk__6 @ y,
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl36]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cQ @ X0 @ y )
      | ( cP @ X1 @ y @ sk__3 )
      | ~ zip_tseitin_0 ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl32_005,plain,
    zip_tseitin_0,
    inference(simplify,[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cQ @ X0 @ y )
      | ( cP @ X1 @ y @ sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl32]) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i] : ( cP @ X0 @ y @ sk__3 ),
    inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl34]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cR @ X0 )
      | ~ ( cP @ X1 @ y @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36_006,plain,
    ! [X0: $i,X1: $i] :
      ~ ( zip_tseitin_1 @ X0 @ ( sk__7 @ X1 ) @ X1 @ sk__6 ),
    inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl32]) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cP @ ( sk__7 @ X0 ) @ y @ X0 )
      | ~ ( cR @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl36]) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i] :
      ~ ( cR @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl44]) ).

thf(zip_derived_cl54,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : SYO105^5 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Y7HwhWCW80 true
% 0.14/0.35  % Computer : n003.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 00:17:39 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.22/0.67  % Total configuration time : 828
% 0.22/0.67  % Estimated wc time : 1656
% 0.22/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.23/0.74  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.23/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.23/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.23/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.23/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.44/0.78  % Solved by lams/40_c.s.sh.
% 1.44/0.78  % done 31 iterations in 0.021s
% 1.44/0.78  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.44/0.78  % SZS output start Refutation
% See solution above
% 1.44/0.78  
% 1.44/0.78  
% 1.44/0.78  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.44/0.78  % Terminating...
% 1.70/0.87  % Runner terminated.
% 1.70/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------