TSTP Solution File: SET803+4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET803+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0pCqog70IG true

% Computer : n014.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 16:16:06 EDT 2023

% Result   : Theorem 0.21s 0.78s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   41 (  15 unt;  10 typ;   0 def)
%            Number of atoms       :   67 (  13 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  198 (  27   ~;  21   |;   7   &; 135   @)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   6 con; 0-3 aty)
%            Number of variables   :   43 (   0   ^;  41   !;   2   ?;  43   :)

% Comments : 
%------------------------------------------------------------------------------
thf(member_type,type,
    member: $i > $i > $o ).

thf(sk__16_type,type,
    sk__16: $i ).

thf(sk__19_type,type,
    sk__19: $i ).

thf(apply_type,type,
    apply: $i > $i > $i > $o ).

thf(sk__17_type,type,
    sk__17: $i ).

thf(max_type,type,
    max: $i > $i > $i > $o ).

thf(order_type,type,
    order: $i > $i > $o ).

thf(sk__20_type,type,
    sk__20: $i ).

thf(greatest_type,type,
    greatest: $i > $i > $i > $o ).

thf(sk__18_type,type,
    sk__18: $i ).

thf(thIV15,conjecture,
    ! [R: $i,E: $i] :
      ( ( order @ R @ E )
     => ! [M1: $i,M2: $i] :
          ( ( ( max @ M1 @ R @ E )
            & ( max @ M2 @ R @ E )
            & ( M1 != M2 ) )
         => ~ ? [M: $i] : ( greatest @ M @ R @ E ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [R: $i,E: $i] :
        ( ( order @ R @ E )
       => ! [M1: $i,M2: $i] :
            ( ( ( max @ M1 @ R @ E )
              & ( max @ M2 @ R @ E )
              & ( M1 != M2 ) )
           => ~ ? [M: $i] : ( greatest @ M @ R @ E ) ) ),
    inference('cnf.neg',[status(esa)],[thIV15]) ).

thf(zip_derived_cl77,plain,
    max @ sk__20 @ sk__16 @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(max,axiom,
    ! [R: $i,E: $i,M: $i] :
      ( ( max @ M @ R @ E )
    <=> ( ( member @ M @ E )
        & ! [X: $i] :
            ( ( ( member @ X @ E )
              & ( apply @ R @ M @ X ) )
           => ( M = X ) ) ) ) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( member @ X0 @ X1 )
      | ~ ( apply @ X2 @ X3 @ X0 )
      | ( X3 = X0 )
      | ~ ( max @ X3 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[max]) ).

thf(zip_derived_cl583,plain,
    ! [X0: $i] :
      ( ( sk__20 = X0 )
      | ~ ( apply @ sk__16 @ sk__20 @ X0 )
      | ~ ( member @ X0 @ sk__17 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl77,zip_derived_cl53]) ).

thf(zip_derived_cl75,plain,
    greatest @ sk__19 @ sk__16 @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(greatest,axiom,
    ! [R: $i,E: $i,M: $i] :
      ( ( greatest @ M @ R @ E )
    <=> ( ( member @ M @ E )
        & ! [X: $i] :
            ( ( member @ X @ E )
           => ( apply @ R @ X @ M ) ) ) ) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( member @ X0 @ X1 )
      | ( apply @ X2 @ X0 @ X3 )
      | ~ ( greatest @ X3 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[greatest]) ).

thf(zip_derived_cl521,plain,
    ! [X0: $i] :
      ( ( apply @ sk__16 @ X0 @ sk__19 )
      | ~ ( member @ X0 @ sk__17 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl75,zip_derived_cl45]) ).

thf(zip_derived_cl616,plain,
    ( ~ ( member @ sk__19 @ sk__17 )
    | ( sk__20 = sk__19 )
    | ~ ( member @ sk__20 @ sk__17 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl583,zip_derived_cl521]) ).

thf(zip_derived_cl75_001,plain,
    greatest @ sk__19 @ sk__16 @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( member @ X0 @ X1 )
      | ~ ( greatest @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[greatest]) ).

thf(zip_derived_cl520,plain,
    member @ sk__19 @ sk__17,
    inference('dp-resolution',[status(thm)],[zip_derived_cl75,zip_derived_cl44]) ).

thf(zip_derived_cl77_002,plain,
    max @ sk__20 @ sk__16 @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( member @ X0 @ X1 )
      | ~ ( max @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[max]) ).

thf(zip_derived_cl582,plain,
    member @ sk__20 @ sk__17,
    inference('dp-resolution',[status(thm)],[zip_derived_cl77,zip_derived_cl52]) ).

thf(zip_derived_cl618,plain,
    sk__20 = sk__19,
    inference(demod,[status(thm)],[zip_derived_cl616,zip_derived_cl520,zip_derived_cl582]) ).

thf(zip_derived_cl76,plain,
    max @ sk__18 @ sk__16 @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl53_003,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( member @ X0 @ X1 )
      | ~ ( apply @ X2 @ X3 @ X0 )
      | ( X3 = X0 )
      | ~ ( max @ X3 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[max]) ).

thf(zip_derived_cl581,plain,
    ! [X0: $i] :
      ( ( sk__18 = X0 )
      | ~ ( apply @ sk__16 @ sk__18 @ X0 )
      | ~ ( member @ X0 @ sk__17 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl76,zip_derived_cl53]) ).

thf(zip_derived_cl521_004,plain,
    ! [X0: $i] :
      ( ( apply @ sk__16 @ X0 @ sk__19 )
      | ~ ( member @ X0 @ sk__17 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl75,zip_derived_cl45]) ).

thf(zip_derived_cl615,plain,
    ( ~ ( member @ sk__19 @ sk__17 )
    | ( sk__18 = sk__19 )
    | ~ ( member @ sk__18 @ sk__17 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl581,zip_derived_cl521]) ).

thf(zip_derived_cl520_005,plain,
    member @ sk__19 @ sk__17,
    inference('dp-resolution',[status(thm)],[zip_derived_cl75,zip_derived_cl44]) ).

thf(zip_derived_cl76_006,plain,
    max @ sk__18 @ sk__16 @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl52_007,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( member @ X0 @ X1 )
      | ~ ( max @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[max]) ).

thf(zip_derived_cl580,plain,
    member @ sk__18 @ sk__17,
    inference('dp-resolution',[status(thm)],[zip_derived_cl76,zip_derived_cl52]) ).

thf(zip_derived_cl617,plain,
    sk__18 = sk__19,
    inference(demod,[status(thm)],[zip_derived_cl615,zip_derived_cl520,zip_derived_cl580]) ).

thf(zip_derived_cl623,plain,
    sk__20 = sk__18,
    inference(demod,[status(thm)],[zip_derived_cl618,zip_derived_cl617]) ).

thf(zip_derived_cl78,plain,
    sk__18 != sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl624,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl623,zip_derived_cl78]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SET803+4 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0pCqog70IG true
% 0.14/0.35  % Computer : n014.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 15:10:02 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
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % 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
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.78  % Solved by fo/fo3_bce.sh.
% 0.21/0.78  % BCE start: 79
% 0.21/0.78  % BCE eliminated: 0
% 0.21/0.78  % PE start: 79
% 0.21/0.78  logic: eq
% 0.21/0.78  % PE eliminated: 14
% 0.21/0.78  % done 15 iterations in 0.033s
% 0.21/0.78  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.78  % SZS output start Refutation
% See solution above
% 0.21/0.78  
% 0.21/0.78  
% 0.21/0.78  % Terminating...
% 1.11/0.85  % Runner terminated.
% 1.69/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------