TSTP Solution File: PUZ129+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : PUZ129+2 : 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.ds1d2VbB8t 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 : Thu Aug 31 13:31:14 EDT 2023

% Result   : Theorem 0.56s 0.79s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   65 (  33 unt;  16 typ;   0 def)
%            Number of atoms       :  142 (  42 equ;   0 cnn)
%            Maximal formula atoms :   36 (   2 avg)
%            Number of connectives :  369 (  35   ~;  23   |;  48   &; 241   @)
%                                         (   0 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  16 usr;   9 con; 0-3 aty)
%            Number of variables   :   51 (   0   ^;  31   !;  20   ?;  51   :)

% Comments : 
%------------------------------------------------------------------------------
thf(pos_type,type,
    pos: $i ).

thf(person_type,type,
    person: $i > $o ).

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

thf(honest_type,type,
    honest: $i ).

thf(unhealthy_type,type,
    unhealthy: $i ).

thf(grocer_type,type,
    grocer: $i > $o ).

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

thf(industrious_type,type,
    industrious: $i ).

thf(property1_type,type,
    property1: $i > $i > $i > $o ).

thf(healthy_type,type,
    healthy: $i ).

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

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

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

thf(dishonest_type,type,
    dishonest: $i ).

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

thf(cyclist_type,type,
    cyclist: $i > $o ).

thf(prove,conjecture,
    ( ( ! [A: $i] :
          ( ( ( person @ A )
            & ( property1 @ A @ honest @ pos )
            & ( property1 @ A @ industrious @ pos ) )
         => ? [B: $i] :
              ( ( A = B )
              & ( property1 @ B @ healthy @ pos ) ) )
      & ! [C: $i] :
          ( ( grocer @ C )
         => ~ ? [D: $i] :
                ( ( C = D )
                & ( property1 @ D @ healthy @ pos ) ) )
      & ! [E: $i] :
          ( ( ( grocer @ E )
            & ( property1 @ E @ industrious @ pos ) )
         => ? [F: $i] :
              ( ( E = F )
              & ( property1 @ F @ honest @ pos ) ) )
      & ! [G: $i] :
          ( ( cyclist @ G )
         => ? [H: $i] :
              ( ( G = H )
              & ( property1 @ H @ industrious @ pos ) ) )
      & ! [I: $i] :
          ( ( ( cyclist @ I )
            & ( property1 @ I @ unhealthy @ pos ) )
         => ? [J: $i] :
              ( ( I = J )
              & ( property1 @ J @ dishonest @ pos ) ) )
      & ! [K: $i] :
          ( ( ( person @ K )
            & ( property1 @ K @ healthy @ pos ) )
         => ~ ? [L: $i] :
                ( ( K = L )
                & ( property1 @ L @ unhealthy @ pos ) ) )
      & ! [M: $i] :
          ( ( ( person @ M )
            & ( property1 @ M @ honest @ pos ) )
         => ~ ? [N: $i] :
                ( ( M = N )
                & ( property1 @ N @ dishonest @ pos ) ) )
      & ! [O: $i] :
          ( ( grocer @ O )
         => ? [P: $i] :
              ( ( O = P )
              & ( person @ P ) ) )
      & ! [Q: $i] :
          ( ( cyclist @ Q )
         => ? [R: $i] :
              ( ( Q = R )
              & ( person @ R ) ) ) )
   => ! [S: $i] :
        ( ( grocer @ S )
       => ~ ? [T: $i] :
              ( ( S = T )
              & ( cyclist @ T ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [A: $i] :
            ( ( ( person @ A )
              & ( property1 @ A @ honest @ pos )
              & ( property1 @ A @ industrious @ pos ) )
           => ? [B: $i] :
                ( ( A = B )
                & ( property1 @ B @ healthy @ pos ) ) )
        & ! [C: $i] :
            ( ( grocer @ C )
           => ~ ? [D: $i] :
                  ( ( C = D )
                  & ( property1 @ D @ healthy @ pos ) ) )
        & ! [E: $i] :
            ( ( ( grocer @ E )
              & ( property1 @ E @ industrious @ pos ) )
           => ? [F: $i] :
                ( ( E = F )
                & ( property1 @ F @ honest @ pos ) ) )
        & ! [G: $i] :
            ( ( cyclist @ G )
           => ? [H: $i] :
                ( ( G = H )
                & ( property1 @ H @ industrious @ pos ) ) )
        & ! [I: $i] :
            ( ( ( cyclist @ I )
              & ( property1 @ I @ unhealthy @ pos ) )
           => ? [J: $i] :
                ( ( I = J )
                & ( property1 @ J @ dishonest @ pos ) ) )
        & ! [K: $i] :
            ( ( ( person @ K )
              & ( property1 @ K @ healthy @ pos ) )
           => ~ ? [L: $i] :
                  ( ( K = L )
                  & ( property1 @ L @ unhealthy @ pos ) ) )
        & ! [M: $i] :
            ( ( ( person @ M )
              & ( property1 @ M @ honest @ pos ) )
           => ~ ? [N: $i] :
                  ( ( M = N )
                  & ( property1 @ N @ dishonest @ pos ) ) )
        & ! [O: $i] :
            ( ( grocer @ O )
           => ? [P: $i] :
                ( ( O = P )
                & ( person @ P ) ) )
        & ! [Q: $i] :
            ( ( cyclist @ Q )
           => ? [R: $i] :
                ( ( Q = R )
                & ( person @ R ) ) ) )
     => ! [S: $i] :
          ( ( grocer @ S )
         => ~ ? [T: $i] :
                ( ( S = T )
                & ( cyclist @ T ) ) ) ),
    inference('cnf.neg',[status(esa)],[prove]) ).

thf(zip_derived_cl17,plain,
    grocer @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12,plain,
    ! [X10: $i] :
      ( ( person @ ( sk__3 @ X10 ) )
      | ~ ( grocer @ X10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl94,plain,
    person @ ( sk__3 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl12]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i] :
      ( ( property1 @ ( sk__7 @ X0 ) @ healthy @ pos )
      | ~ ( property1 @ X0 @ industrious @ pos )
      | ~ ( property1 @ X0 @ honest @ pos )
      | ~ ( person @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl110,plain,
    ( ~ ( property1 @ ( sk__3 @ sk_ ) @ honest @ pos )
    | ~ ( property1 @ ( sk__3 @ sk_ ) @ industrious @ pos )
    | ( property1 @ ( sk__7 @ ( sk__3 @ sk_ ) ) @ healthy @ pos ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl94,zip_derived_cl1]) ).

thf(zip_derived_cl17_001,plain,
    grocer @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11,plain,
    ! [X10: $i] :
      ( ( X10
        = ( sk__3 @ X10 ) )
      | ~ ( grocer @ X10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl93,plain,
    ( sk_
    = ( sk__3 @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl11]) ).

thf(zip_derived_cl17_002,plain,
    grocer @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ! [X3: $i] :
      ( ( property1 @ ( sk__6 @ X3 ) @ honest @ pos )
      | ~ ( property1 @ X3 @ industrious @ pos )
      | ~ ( grocer @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl92,plain,
    ( ~ ( property1 @ sk_ @ industrious @ pos )
    | ( property1 @ ( sk__6 @ sk_ ) @ honest @ pos ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl4]) ).

thf(zip_derived_cl15,plain,
    cyclist @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    ! [X4: $i] :
      ( ( property1 @ ( sk__5 @ X4 ) @ industrious @ pos )
      | ~ ( cyclist @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl104,plain,
    property1 @ ( sk__5 @ sk__1 ) @ industrious @ pos,
    inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl6]) ).

thf(zip_derived_cl16,plain,
    sk_ = sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15_003,plain,
    cyclist @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ! [X4: $i] :
      ( ( X4
        = ( sk__5 @ X4 ) )
      | ~ ( cyclist @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl103,plain,
    ( sk__1
    = ( sk__5 @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl5]) ).

thf(zip_derived_cl16_004,plain,
    sk_ = sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl16_005,plain,
    sk_ = sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl118,plain,
    ( sk_
    = ( sk__5 @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl16,zip_derived_cl16]) ).

thf(zip_derived_cl120,plain,
    property1 @ sk_ @ industrious @ pos,
    inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl16,zip_derived_cl118]) ).

thf(zip_derived_cl122,plain,
    property1 @ ( sk__6 @ sk_ ) @ honest @ pos,
    inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl120]) ).

thf(zip_derived_cl17_006,plain,
    grocer @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X3: $i] :
      ( ( X3
        = ( sk__6 @ X3 ) )
      | ~ ( property1 @ X3 @ industrious @ pos )
      | ~ ( grocer @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl91,plain,
    ( ~ ( property1 @ sk_ @ industrious @ pos )
    | ( sk_
      = ( sk__6 @ sk_ ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl3]) ).

thf(zip_derived_cl120_007,plain,
    property1 @ sk_ @ industrious @ pos,
    inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl16,zip_derived_cl118]) ).

thf(zip_derived_cl121,plain,
    ( sk_
    = ( sk__6 @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl91,zip_derived_cl120]) ).

thf(zip_derived_cl123,plain,
    property1 @ sk_ @ honest @ pos,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl121]) ).

thf(zip_derived_cl93_008,plain,
    ( sk_
    = ( sk__3 @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl11]) ).

thf(zip_derived_cl120_009,plain,
    property1 @ sk_ @ industrious @ pos,
    inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl16,zip_derived_cl118]) ).

thf(zip_derived_cl93_010,plain,
    ( sk_
    = ( sk__3 @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl11]) ).

thf(zip_derived_cl94_011,plain,
    person @ ( sk__3 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl12]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk__7 @ X0 ) )
      | ~ ( property1 @ X0 @ industrious @ pos )
      | ~ ( property1 @ X0 @ honest @ pos )
      | ~ ( person @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl109,plain,
    ( ~ ( property1 @ ( sk__3 @ sk_ ) @ honest @ pos )
    | ~ ( property1 @ ( sk__3 @ sk_ ) @ industrious @ pos )
    | ( ( sk__3 @ sk_ )
      = ( sk__7 @ ( sk__3 @ sk_ ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl94,zip_derived_cl0]) ).

thf(zip_derived_cl93_012,plain,
    ( sk_
    = ( sk__3 @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl11]) ).

thf(zip_derived_cl123_013,plain,
    property1 @ sk_ @ honest @ pos,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl121]) ).

thf(zip_derived_cl93_014,plain,
    ( sk_
    = ( sk__3 @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl11]) ).

thf(zip_derived_cl120_015,plain,
    property1 @ sk_ @ industrious @ pos,
    inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl16,zip_derived_cl118]) ).

thf(zip_derived_cl93_016,plain,
    ( sk_
    = ( sk__3 @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl11]) ).

thf(zip_derived_cl93_017,plain,
    ( sk_
    = ( sk__3 @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl11]) ).

thf(zip_derived_cl130,plain,
    ( sk_
    = ( sk__7 @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl109,zip_derived_cl93,zip_derived_cl123,zip_derived_cl93,zip_derived_cl120,zip_derived_cl93,zip_derived_cl93]) ).

thf(zip_derived_cl17_018,plain,
    grocer @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X1: $i,X2: $i] :
      ( ~ ( property1 @ X1 @ healthy @ pos )
      | ( X2 != X1 )
      | ~ ( grocer @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl90,plain,
    ! [X0: $i] :
      ( ( sk_ != X0 )
      | ~ ( property1 @ X0 @ healthy @ pos ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl2]) ).

thf(zip_derived_cl117,plain,
    ~ ( property1 @ sk_ @ healthy @ pos ),
    inference(eq_res,[status(thm)],[zip_derived_cl90]) ).

thf(zip_derived_cl132,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl93,zip_derived_cl123,zip_derived_cl93,zip_derived_cl120,zip_derived_cl93,zip_derived_cl130,zip_derived_cl117]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ129+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ds1d2VbB8t true
% 0.13/0.35  % Computer : n017.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 21:35:41 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 FO mode
% 0.20/0.69  % Total configuration time : 435
% 0.20/0.69  % Estimated wc time : 1092
% 0.20/0.69  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.79  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.79  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.79  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.79  % Solved by fo/fo6_bce.sh.
% 0.56/0.79  % BCE start: 18
% 0.56/0.79  % BCE eliminated: 0
% 0.56/0.79  % PE start: 18
% 0.56/0.79  logic: eq
% 0.56/0.79  % PE eliminated: 0
% 0.56/0.79  % done 19 iterations in 0.012s
% 0.56/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.79  % SZS output start Refutation
% See solution above
% 0.56/0.79  
% 0.56/0.79  
% 0.56/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.79  % Terminating...
% 1.72/0.89  % Runner terminated.
% 1.72/0.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------