TSTP Solution File: SYN063+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN063+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.upjqRHNjT6 true

% Computer : n017.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 04:01:28 EDT 2023

% Result   : Theorem 0.62s 0.74s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   56 (   4 unt;  16 typ;   0 def)
%            Number of atoms       :  116 (   0 equ;   0 cnn)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  229 (  45   ~;  60   |;   4   &; 108   @)
%                                         (   8 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  11 usr;   7 con; 0-1 aty)
%            Number of variables   :   33 (   0   ^;  33   !;   0   ?;  33   :)

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

thf(big_p_type,type,
    big_p: $i > $o ).

thf(b_type,type,
    b: $i ).

thf(zip_tseitin_3_type,type,
    zip_tseitin_3: $o ).

thf(zip_tseitin_2_type,type,
    zip_tseitin_2: $i > $o ).

thf(a_type,type,
    a: $i ).

thf(c_type,type,
    c: $i ).

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

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

thf(zip_tseitin_4_type,type,
    zip_tseitin_4: $i > $o ).

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

thf(pel33,conjecture,
    ( ! [X: $i] :
        ( ( ( ( big_p @ X )
           => ( big_p @ b ) )
          & ( big_p @ a ) )
       => ( big_p @ c ) )
  <=> ! [X1: $i] :
        ( ( ~ ( big_p @ a )
          | ( big_p @ X1 )
          | ( big_p @ c ) )
        & ( ~ ( big_p @ a )
          | ~ ( big_p @ b )
          | ( big_p @ c ) ) ) ) ).

thf(zf_stmt_0,axiom,
    ! [X: $i] :
      ( ( zip_tseitin_1 @ X )
    <=> ( ( ( big_p @ a )
          & ( zip_tseitin_0 @ X ) )
       => ( big_p @ c ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_1 @ X0 )
      | ~ ( big_p @ c ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zf_stmt_1,axiom,
    ! [X1: $i] :
      ( ( zip_tseitin_2 @ X1 )
    <=> ( ( big_p @ c )
        | ( big_p @ X1 )
        | ~ ( big_p @ a ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_2 @ X0 )
      | ~ ( big_p @ c ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zf_stmt_2,axiom,
    ( zip_tseitin_3
  <=> ( ( big_p @ c )
      | ~ ( big_p @ b )
      | ~ ( big_p @ a ) ) ) ).

thf(zip_derived_cl12,plain,
    ( zip_tseitin_3
    | ~ ( big_p @ c ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zf_stmt_3,axiom,
    ! [X1: $i] :
      ( ( zip_tseitin_4 @ X1 )
    <=> ( zip_tseitin_3
        & ( zip_tseitin_2 @ X1 ) ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_4 @ X0 )
      | ~ ( zip_tseitin_2 @ X0 )
      | ~ zip_tseitin_3 ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zf_stmt_4,type,
    zip_tseitin_4: $i > $o ).

thf(zf_stmt_5,type,
    zip_tseitin_3: $o ).

thf(zf_stmt_6,type,
    zip_tseitin_2: $i > $o ).

thf(zf_stmt_7,type,
    zip_tseitin_1: $i > $o ).

thf(zf_stmt_8,type,
    zip_tseitin_0: $i > $o ).

thf(zf_stmt_9,axiom,
    ! [X: $i] :
      ( ( zip_tseitin_0 @ X )
    <=> ( ( big_p @ X )
       => ( big_p @ b ) ) ) ).

thf(zf_stmt_10,conjecture,
    ( ! [X: $i] : ( zip_tseitin_1 @ X )
  <=> ! [X1: $i] : ( zip_tseitin_4 @ X1 ) ) ).

thf(zf_stmt_11,negated_conjecture,
    ~ ( ! [X: $i] : ( zip_tseitin_1 @ X )
    <=> ! [X1: $i] : ( zip_tseitin_4 @ X1 ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl19,plain,
    ( ~ ( zip_tseitin_4 @ sk_ )
    | ~ ( zip_tseitin_1 @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_11]) ).

thf(zip_derived_cl35,plain,
    ( ~ zip_tseitin_3
    | ~ ( zip_tseitin_2 @ sk_ )
    | ~ ( zip_tseitin_1 @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl19]) ).

thf(zip_derived_cl40,plain,
    ( ~ ( big_p @ c )
    | ~ ( zip_tseitin_1 @ sk__1 )
    | ~ ( zip_tseitin_2 @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl35]) ).

thf(zip_derived_cl44,plain,
    ( ~ ( big_p @ c )
    | ~ ( zip_tseitin_1 @ sk__1 )
    | ~ ( big_p @ c ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl40]) ).

thf(zip_derived_cl55,plain,
    ( ~ ( big_p @ c )
    | ~ ( big_p @ c )
    | ~ ( big_p @ c ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl44]) ).

thf(zip_derived_cl108,plain,
    ~ ( big_p @ c ),
    inference(simplify,[status(thm)],[zip_derived_cl55]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_4 @ X0 )
      | ( zip_tseitin_1 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_11]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_2 @ X0 )
      | ~ ( zip_tseitin_4 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_1 @ X1 )
      | ( zip_tseitin_2 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl16]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i] :
      ( ~ ( big_p @ a )
      | ( big_p @ X0 )
      | ( big_p @ c )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_1 @ X1 )
      | ( big_p @ c )
      | ( big_p @ X0 )
      | ~ ( big_p @ a ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl34,zip_derived_cl7]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_0 @ X0 )
      | ( big_p @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_9]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( ~ ( big_p @ a )
      | ~ ( zip_tseitin_0 @ X0 )
      | ( big_p @ c )
      | ~ ( zip_tseitin_1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i] :
      ( ( big_p @ X0 )
      | ~ ( zip_tseitin_1 @ X0 )
      | ( big_p @ c )
      | ~ ( big_p @ a ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).

thf(zip_derived_cl98,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_p @ a )
      | ( big_p @ X1 )
      | ( big_p @ c )
      | ~ ( big_p @ a )
      | ( big_p @ c )
      | ( big_p @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl43,zip_derived_cl38]) ).

thf(zip_derived_cl165,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_p @ X0 )
      | ( big_p @ c )
      | ( big_p @ X1 )
      | ~ ( big_p @ a ) ),
    inference(simplify,[status(thm)],[zip_derived_cl98]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_1 @ X0 )
      | ( big_p @ a ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_2 @ X0 )
      | ( big_p @ a ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl14,plain,
    ( zip_tseitin_3
    | ( big_p @ a ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl35_001,plain,
    ( ~ zip_tseitin_3
    | ~ ( zip_tseitin_2 @ sk_ )
    | ~ ( zip_tseitin_1 @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl19]) ).

thf(zip_derived_cl42,plain,
    ( ( big_p @ a )
    | ~ ( zip_tseitin_1 @ sk__1 )
    | ~ ( zip_tseitin_2 @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl35]) ).

thf(zip_derived_cl52,plain,
    ( ( big_p @ a )
    | ~ ( zip_tseitin_1 @ sk__1 )
    | ( big_p @ a ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl42]) ).

thf(zip_derived_cl74,plain,
    ( ( big_p @ a )
    | ( big_p @ a )
    | ( big_p @ a ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl52]) ).

thf(zip_derived_cl134,plain,
    big_p @ a,
    inference(simplify,[status(thm)],[zip_derived_cl74]) ).

thf(zip_derived_cl166,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_p @ X0 )
      | ( big_p @ c )
      | ( big_p @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl165,zip_derived_cl134]) ).

thf(zip_derived_cl167,plain,
    ! [X0: $i] :
      ( ( big_p @ X0 )
      | ( big_p @ c ) ),
    inference(condensation,[status(thm)],[zip_derived_cl166]) ).

thf(zip_derived_cl168,plain,
    big_p @ c,
    inference(condensation,[status(thm)],[zip_derived_cl167]) ).

thf(zip_derived_cl169,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl168]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN063+1 : TPTP v8.1.2. Released v2.0.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.upjqRHNjT6 true
% 0.13/0.34  % Computer : n017.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 20:00:26 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.62/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.62/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.62/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.62/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.62/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.62/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.62/0.74  % Solved by fo/fo6_bce.sh.
% 0.62/0.74  % BCE start: 20
% 0.62/0.74  % BCE eliminated: 0
% 0.62/0.74  % PE start: 20
% 0.62/0.74  logic: neq
% 0.62/0.74  % PE eliminated: -12
% 0.62/0.74  % done 31 iterations in 0.011s
% 0.62/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.62/0.74  % SZS output start Refutation
% See solution above
% 0.62/0.74  
% 0.62/0.74  
% 0.62/0.74  % Terminating...
% 0.70/0.84  % Runner terminated.
% 0.70/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------