TSTP Solution File: NUN081+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUN081+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.v6aiaa5RTU 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 12:54:25 EDT 2023

% Result   : Theorem 0.78s 0.79s
% Output   : Refutation 0.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   24 (   8 unt;   7 typ;   0 def)
%            Number of atoms       :   48 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  157 (  22   ~;  15   |;  16   &; 104   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   9 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   :   55 (   0   ^;  35   !;  20   ?;  55   :)

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

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

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

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

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

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(zip_derived_cl43_001,plain,
    ! [X0: $i,X1: $i] : ( r2 @ X0 @ ( sk__7 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[axiom_1a]) ).

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(xplusyidthree,conjecture,
    ? [Y1: $i,Y2: $i,Y3: $i] :
      ( ? [Y4: $i] :
          ( ? [Y5: $i] :
              ( ? [Y6: $i] :
                  ( ? [Y7: $i] :
                      ( ( r2 @ Y7 @ Y6 )
                      & ( r1 @ Y7 ) )
                  & ( r2 @ Y6 @ Y5 ) )
              & ( r2 @ Y5 @ Y4 ) )
          & ( id @ Y3 @ Y4 ) )
      & ( r3 @ Y1 @ Y2 @ Y3 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [Y1: $i,Y2: $i,Y3: $i] :
        ( ? [Y4: $i] :
            ( ? [Y5: $i] :
                ( ? [Y6: $i] :
                    ( ? [Y7: $i] :
                        ( ( r2 @ Y7 @ Y6 )
                        & ( r1 @ Y7 ) )
                    & ( r2 @ Y6 @ Y5 ) )
                & ( r2 @ Y5 @ Y4 ) )
            & ( id @ Y3 @ Y4 ) )
        & ( r3 @ Y1 @ Y2 @ Y3 ) ),
    inference('cnf.neg',[status(esa)],[xplusyidthree]) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( id @ X0 @ X1 )
      | ~ ( r2 @ X2 @ X3 )
      | ~ ( r2 @ X4 @ X2 )
      | ~ ( r1 @ X4 )
      | ~ ( r2 @ X3 @ X1 )
      | ~ ( r3 @ X5 @ X6 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( id @ ( sk__12 @ X0 ) @ X1 )
      | ~ ( r2 @ X3 @ X2 )
      | ~ ( r2 @ X4 @ X3 )
      | ~ ( r1 @ X4 )
      | ~ ( r2 @ X2 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl67]) ).

thf(zip_derived_cl131,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( r2 @ X2 @ X1 )
      | ~ ( r2 @ X3 @ X2 )
      | ~ ( r1 @ X3 )
      | ~ ( r2 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl120]) ).

thf(zip_derived_cl132,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( r2 @ X2 @ X1 )
      | ~ ( r1 @ X2 )
      | ~ ( r2 @ ( sk__7 @ X1 @ X0 ) @ X3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl131]) ).

thf(zip_derived_cl146,plain,
    ! [X2: $i,X3: $i] :
      ( ~ ( r2 @ X3 @ X2 )
      | ~ ( r1 @ X3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl132]) ).

thf(zip_derived_cl43_002,plain,
    ! [X0: $i,X1: $i] : ( r2 @ X0 @ ( sk__7 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[axiom_1a]) ).

thf(zip_derived_cl150,plain,
    ! [X1: $i] :
      ~ ( r1 @ X1 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl146,zip_derived_cl43]) ).

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

thf(zip_derived_cl158,plain,
    $false,
    inference('s_sup+',[status(thm)],[zip_derived_cl150,zip_derived_cl56]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : NUN081+1 : TPTP v8.1.2. Released v7.3.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.v6aiaa5RTU true
% 0.14/0.35  % Computer : n017.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 : Sun Aug 27 08:37:26 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
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.21/0.67  % Total configuration time : 435
% 0.21/0.67  % Estimated wc time : 1092
% 0.21/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72  % /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
% 0.57/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.78/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.78/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.78/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.78/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.78/0.79  % Solved by fo/fo1_av.sh.
% 0.78/0.79  % done 96 iterations in 0.035s
% 0.78/0.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.78/0.79  % SZS output start Refutation
% See solution above
% 0.78/0.79  
% 0.78/0.79  
% 0.78/0.79  % Terminating...
% 1.84/0.87  % Runner terminated.
% 1.84/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------