TSTP Solution File: NUN062+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUN062+1 : TPTP v8.1.2. Bugfixed v7.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.M0difNTJOI true

% Computer : n027.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 12:54:18 EDT 2023

% Result   : Theorem 0.20s 0.78s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   44 (  12 unt;  12 typ;   0 def)
%            Number of atoms       :   72 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  221 (  35   ~;  26   |;  12   &; 146   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   21 (  21   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (  10 usr;   2 con; 0-3 aty)
%            Number of variables   :   70 (   0   ^;  60   !;  10   ?;  70   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__21_type,type,
    sk__21: $i > $i ).

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

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

thf(zip_tseitin_8_type,type,
    zip_tseitin_8: $i > $i > $o ).

thf(r3_type,type,
    r3: $i > $i > $i > $o ).

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

thf(id_type,type,
    id: $i > $i > $o ).

thf(zip_tseitin_9_type,type,
    zip_tseitin_9: $i > $i > $o ).

thf(r1_type,type,
    r1: $i > $o ).

thf(r2_type,type,
    r2: $i > $i > $o ).

thf(axiom_1a,axiom,
    ! [X1: $i,X8: $i] :
    ? [Y4: $i] :
      ( ? [Y7: $i] :
          ( ( r3 @ X1 @ X8 @ Y7 )
          & ( r2 @ Y7 @ Y4 ) )
      & ? [Y5: $i] :
          ( ? [Y15: $i] :
              ( ( r3 @ X1 @ Y15 @ Y5 )
              & ( r2 @ X8 @ Y15 ) )
          & ( id @ Y5 @ Y4 ) ) ) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i,X1: $i] : ( r2 @ X0 @ ( sk__7 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[axiom_1a]) ).

thf(axiom_7a,axiom,
    ! [X7: $i,Y10: $i] :
      ( ~ ( r2 @ X7 @ Y10 )
      | ! [Y20: $i] :
          ( ~ ( r1 @ Y20 )
          | ~ ( id @ Y20 @ Y10 ) ) ) ).

thf(zip_derived_cl66,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r2 @ X0 @ X1 )
      | ~ ( id @ X2 @ X1 )
      | ~ ( r1 @ X2 ) ),
    inference(cnf,[status(esa)],[axiom_7a]) ).

thf(axiom_8,axiom,
    ! [X26: $i,X27: $i] :
      ( ~ ( id @ X26 @ X27 )
      | ( ~ ( r1 @ X26 )
        & ~ ( r1 @ X27 ) )
      | ( ( r1 @ X26 )
        & ( r1 @ X27 ) ) ) ).

thf(zf_stmt_0,type,
    zip_tseitin_9: $i > $i > $o ).

thf(zf_stmt_1,axiom,
    ! [X27: $i,X26: $i] :
      ( ( zip_tseitin_9 @ X27 @ X26 )
     => ( ( r1 @ X27 )
        & ( r1 @ X26 ) ) ) ).

thf(zf_stmt_2,type,
    zip_tseitin_8: $i > $i > $o ).

thf(zf_stmt_3,axiom,
    ! [X27: $i,X26: $i] :
      ( ( zip_tseitin_8 @ X27 @ X26 )
     => ( ~ ( r1 @ X27 )
        & ~ ( r1 @ X26 ) ) ) ).

thf(zf_stmt_4,axiom,
    ! [X26: $i,X27: $i] :
      ( ( zip_tseitin_9 @ X27 @ X26 )
      | ( zip_tseitin_8 @ X27 @ X26 )
      | ~ ( id @ X26 @ X27 ) ) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_9 @ X0 @ X1 )
      | ( zip_tseitin_8 @ X0 @ X1 )
      | ~ ( id @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ X0 )
      | ~ ( zip_tseitin_8 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl79,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( id @ X1 @ X0 )
      | ( zip_tseitin_9 @ X0 @ X1 )
      | ~ ( r1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl27,zip_derived_cl23]) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i] :
      ( ( r1 @ X0 )
      | ~ ( zip_tseitin_9 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl108,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ X1 )
      | ~ ( id @ X0 @ X1 )
      | ( r1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl79,zip_derived_cl26]) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i,X1: $i] : ( r3 @ X0 @ X1 @ ( sk__5 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_1a]) ).

thf(infiniteNumbersid,conjecture,
    ! [X1: $i] :
    ? [Y2: $i,Y1: $i] :
      ( ? [Y3: $i] :
          ( ( r3 @ X1 @ Y1 @ Y3 )
          & ( id @ Y3 @ Y2 ) )
      & ! [Y4: $i] :
          ( ~ ( r1 @ Y4 )
          | ~ ( id @ Y1 @ Y4 ) ) ) ).

thf(zf_stmt_5,negated_conjecture,
    ~ ! [X1: $i] :
      ? [Y2: $i,Y1: $i] :
        ( ? [Y3: $i] :
            ( ( r3 @ X1 @ Y1 @ Y3 )
            & ( id @ Y3 @ Y2 ) )
        & ! [Y4: $i] :
            ( ~ ( r1 @ Y4 )
            | ~ ( id @ Y1 @ Y4 ) ) ),
    inference('cnf.neg',[status(esa)],[infiniteNumbersid]) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( id @ X0 @ X1 )
      | ~ ( r3 @ sk__20 @ X2 @ X0 )
      | ( id @ X2 @ ( sk__21 @ X2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl249,plain,
    ! [X0: $i,X1: $i] :
      ( ( id @ X0 @ ( sk__21 @ X0 ) )
      | ~ ( id @ ( sk__5 @ X0 @ sk__20 ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl67]) ).

thf(axiom_5,axiom,
    ! [X20: $i] : ( id @ X20 @ X20 ) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i] : ( id @ X0 @ X0 ),
    inference(cnf,[status(esa)],[axiom_5]) ).

thf(zip_derived_cl274,plain,
    ! [X0: $i] : ( id @ X0 @ ( sk__21 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl249,zip_derived_cl20]) ).

thf(zip_derived_cl288,plain,
    ! [X0: $i] :
      ( ( r1 @ X0 )
      | ~ ( r1 @ ( sk__21 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl108,zip_derived_cl274]) ).

thf(zip_derived_cl46_001,plain,
    ! [X0: $i,X1: $i] : ( r3 @ X0 @ X1 @ ( sk__5 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_1a]) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( id @ X0 @ X1 )
      | ~ ( r3 @ sk__20 @ X2 @ X0 )
      | ( r1 @ ( sk__21 @ X2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl184,plain,
    ! [X0: $i,X1: $i] :
      ( ( r1 @ ( sk__21 @ X0 ) )
      | ~ ( id @ ( sk__5 @ X0 @ sk__20 ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl68]) ).

thf(zip_derived_cl20_002,plain,
    ! [X0: $i] : ( id @ X0 @ X0 ),
    inference(cnf,[status(esa)],[axiom_5]) ).

thf(zip_derived_cl208,plain,
    ! [X0: $i] : ( r1 @ ( sk__21 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl184,zip_derived_cl20]) ).

thf(zip_derived_cl290,plain,
    ! [X0: $i] : ( r1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl288,zip_derived_cl208]) ).

thf(zip_derived_cl292,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r2 @ X0 @ X1 )
      | ~ ( id @ X2 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl290]) ).

thf(zip_derived_cl308,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ~ ( id @ X2 @ ( sk__7 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl292]) ).

thf(zip_derived_cl20_003,plain,
    ! [X0: $i] : ( id @ X0 @ X0 ),
    inference(cnf,[status(esa)],[axiom_5]) ).

thf(zip_derived_cl311,plain,
    $false,
    inference('sup+',[status(thm)],[zip_derived_cl308,zip_derived_cl20]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUN062+1 : TPTP v8.1.2. Bugfixed v7.4.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.M0difNTJOI true
% 0.13/0.34  % Computer : n027.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 : Sun Aug 27 09:37:06 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % 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
% 0.20/0.63  % Total configuration time : 435
% 0.20/0.63  % Estimated wc time : 1092
% 0.20/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.78  % Solved by fo/fo3_bce.sh.
% 0.20/0.78  % BCE start: 69
% 0.20/0.78  % BCE eliminated: 0
% 0.20/0.78  % PE start: 69
% 0.20/0.78  logic: neq
% 0.20/0.78  % PE eliminated: 25
% 0.20/0.78  % done 74 iterations in 0.040s
% 0.20/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.78  % SZS output start Refutation
% See solution above
% 0.20/0.78  
% 0.20/0.78  
% 0.20/0.78  % Terminating...
% 1.42/0.85  % Runner terminated.
% 1.42/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------