TSTP Solution File: NUN070+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUN070+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VqTHsNyscH 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 12:54:21 EDT 2023

% Result   : Theorem 0.20s 0.79s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   24 (   7 unt;   7 typ;   0 def)
%            Number of atoms       :   56 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  172 (  29   ~;  21   |;  18   &; 104   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   1 con; 0-3 aty)
%            Number of variables   :   49 (   0   ^;  31   !;  18   ?;  49   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__12_type,type,
    sk__12: $i > $i ).

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

thf(sk__13_type,type,
    sk__13: $i > $i ).

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

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

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

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

thf(axiom_4a,axiom,
    ! [X4: $i] :
    ? [Y9: $i] :
      ( ? [Y16: $i] :
          ( ( r3 @ X4 @ Y16 @ Y9 )
          & ( r1 @ Y16 ) )
      & ( id @ Y9 @ X4 ) ) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i] : ( id @ ( sk__12 @ X0 ) @ X0 ),
    inference(cnf,[status(esa)],[axiom_4a]) ).

thf(zip_derived_cl55,plain,
    ! [X0: $i] : ( r3 @ X0 @ ( sk__13 @ X0 ) @ ( sk__12 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_4a]) ).

thf(onepluszeroidone,conjecture,
    ? [Y1: $i] :
      ( ? [Y3: $i] :
          ( ? [Y6: $i] :
              ( ( r2 @ Y6 @ Y3 )
              & ( r1 @ Y6 ) )
          & ( id @ Y1 @ Y3 ) )
      & ? [Y2: $i] :
          ( ? [Y5: $i] :
              ( ( r2 @ Y5 @ Y2 )
              & ( r1 @ Y5 ) )
          & ? [Y4: $i] :
              ( ( r3 @ Y2 @ Y4 @ Y1 )
              & ( r1 @ Y4 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [Y1: $i] :
        ( ? [Y3: $i] :
            ( ? [Y6: $i] :
                ( ( r2 @ Y6 @ Y3 )
                & ( r1 @ Y6 ) )
            & ( id @ Y1 @ Y3 ) )
        & ? [Y2: $i] :
            ( ? [Y5: $i] :
                ( ( r2 @ Y5 @ Y2 )
                & ( r1 @ Y5 ) )
            & ? [Y4: $i] :
                ( ( r3 @ Y2 @ Y4 @ Y1 )
                & ( r1 @ Y4 ) ) ) ),
    inference('cnf.neg',[status(esa)],[onepluszeroidone]) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( id @ X0 @ X1 )
      | ~ ( r2 @ X2 @ X1 )
      | ~ ( r1 @ X2 )
      | ~ ( r3 @ X3 @ X4 @ X0 )
      | ~ ( r1 @ X4 )
      | ~ ( r2 @ X5 @ X3 )
      | ~ ( r1 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( id @ ( sk__12 @ X0 ) @ X1 )
      | ~ ( r2 @ X2 @ X1 )
      | ~ ( r1 @ X2 )
      | ~ ( r1 @ ( sk__13 @ X0 ) )
      | ~ ( r2 @ X3 @ X0 )
      | ~ ( r1 @ X3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl67]) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i] : ( r1 @ ( sk__13 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_4a]) ).

thf(zip_derived_cl121,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( id @ ( sk__12 @ X0 ) @ X1 )
      | ~ ( r2 @ X2 @ X1 )
      | ~ ( r1 @ X2 )
      | ~ ( r2 @ X3 @ X0 )
      | ~ ( r1 @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl56]) ).

thf(zip_derived_cl132,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r2 @ X1 @ X0 )
      | ~ ( r1 @ X1 )
      | ~ ( r2 @ X2 @ X0 )
      | ~ ( r1 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl121]) ).

thf(zip_derived_cl135,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ X1 )
      | ~ ( r2 @ X1 @ X0 )
      | ~ ( r1 @ X1 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl132]) ).

thf(zip_derived_cl136,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r2 @ X1 @ X0 )
      | ~ ( r1 @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl135]) ).

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(zip_derived_cl137,plain,
    ! [X1: $i] :
      ~ ( r1 @ X1 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl136,zip_derived_cl43]) ).

thf(zip_derived_cl56_001,plain,
    ! [X0: $i] : ( r1 @ ( sk__13 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_4a]) ).

thf(zip_derived_cl145,plain,
    $false,
    inference('s_sup+',[status(thm)],[zip_derived_cl137,zip_derived_cl56]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUN070+1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VqTHsNyscH true
% 0.13/0.34  % Computer : n014.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 09:43:01 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
% 0.20/0.64  % Total configuration time : 435
% 0.20/0.64  % Estimated wc time : 1092
% 0.20/0.64  % Estimated cpu time (7 cpus) : 156.0
% 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/fo6_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.79  % Solved by fo/fo1_av.sh.
% 0.20/0.79  % done 86 iterations in 0.034s
% 0.20/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.79  % SZS output start Refutation
% See solution above
% 0.20/0.79  
% 0.20/0.79  
% 0.20/0.79  % Terminating...
% 0.20/0.85  % Runner terminated.
% 1.17/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------