TSTP Solution File: NUN073+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUN073+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.SgM3JlfWKL true

% Computer : n003.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 12:54:22 EDT 2023

% Result   : Theorem 0.22s 0.80s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   30 (  10 unt;   8 typ;   0 def)
%            Number of atoms       :   49 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  148 (  34   ~;  27   |;   0   &;  87   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   34 (   0   ^;  34   !;   0   ?;  34   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__24_type,type,
    sk__24: $i ).

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

thf(sk__21_type,type,
    sk__21: $i ).

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

thf(sk__22_type,type,
    sk__22: $i ).

thf(sk__23_type,type,
    sk__23: $i ).

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

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

thf(oneunidtwo,conjecture,
    ! [Y1: $i] :
      ( ! [Y3: $i] :
          ( ~ ( r2 @ Y3 @ Y1 )
          | ! [Y5: $i] :
              ( ~ ( r2 @ Y5 @ Y3 )
              | ~ ( r1 @ Y5 ) ) )
      | ! [Y2: $i] :
          ( ~ ( id @ Y2 @ Y1 )
          | ! [Y4: $i] :
              ( ~ ( r2 @ Y4 @ Y2 )
              | ~ ( r1 @ Y4 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Y1: $i] :
        ( ! [Y3: $i] :
            ( ~ ( r2 @ Y3 @ Y1 )
            | ! [Y5: $i] :
                ( ~ ( r2 @ Y5 @ Y3 )
                | ~ ( r1 @ Y5 ) ) )
        | ! [Y2: $i] :
            ( ~ ( id @ Y2 @ Y1 )
            | ! [Y4: $i] :
                ( ~ ( r2 @ Y4 @ Y2 )
                | ~ ( r1 @ Y4 ) ) ) ),
    inference('cnf.neg',[status(esa)],[oneunidtwo]) ).

thf(zip_derived_cl69,plain,
    r2 @ sk__24 @ sk__23,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl67,plain,
    id @ sk__23 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(axiom_6,axiom,
    ! [X21: $i,X22: $i] :
      ( ( id @ X22 @ X21 )
      | ~ ( id @ X21 @ X22 ) ) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i] :
      ( ( id @ X0 @ X1 )
      | ~ ( id @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_6]) ).

thf(zip_derived_cl77,plain,
    id @ sk__20 @ sk__23,
    inference('sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl21]) ).

thf(zip_derived_cl70,plain,
    r2 @ sk__21 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(axiom_3a,axiom,
    ! [X3: $i,X10: $i] :
      ( ( id @ X3 @ X10 )
      | ! [Y12: $i] :
          ( ~ ( r2 @ X10 @ Y12 )
          | ! [Y13: $i] :
              ( ~ ( r2 @ X3 @ Y13 )
              | ~ ( id @ Y13 @ Y12 ) ) ) ) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( id @ X0 @ X1 )
      | ~ ( r2 @ X0 @ X2 )
      | ~ ( id @ X2 @ X3 )
      | ~ ( r2 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[axiom_3a]) ).

thf(zip_derived_cl129,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r2 @ X1 @ X0 )
      | ~ ( id @ sk__20 @ X0 )
      | ( id @ sk__21 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl53]) ).

thf(zip_derived_cl168,plain,
    ! [X0: $i] :
      ( ( id @ sk__21 @ X0 )
      | ~ ( r2 @ X0 @ sk__23 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl129]) ).

thf(zip_derived_cl171,plain,
    id @ sk__21 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl69,zip_derived_cl168]) ).

thf(zip_derived_cl21_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( id @ X0 @ X1 )
      | ~ ( id @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_6]) ).

thf(zip_derived_cl182,plain,
    id @ sk__24 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl171,zip_derived_cl21]) ).

thf(zip_derived_cl72,plain,
    r2 @ sk__22 @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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(zip_derived_cl80,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ X0 )
      | ~ ( id @ X0 @ sk__21 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl66]) ).

thf(zip_derived_cl187,plain,
    ~ ( r1 @ sk__24 ),
    inference('sup-',[status(thm)],[zip_derived_cl182,zip_derived_cl80]) ).

thf(zip_derived_cl68,plain,
    r1 @ sk__24,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl188,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl187,zip_derived_cl68]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : NUN073+1 : TPTP v8.1.2. Released v7.3.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SgM3JlfWKL true
% 0.14/0.35  % Computer : n003.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
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Sun Aug 27 09:37:39 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/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
% 0.22/0.66  % Total configuration time : 435
% 0.22/0.66  % Estimated wc time : 1092
% 0.22/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.80  % Solved by fo/fo7.sh.
% 0.22/0.80  % done 92 iterations in 0.029s
% 0.22/0.80  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.80  % SZS output start Refutation
% See solution above
% 0.22/0.80  
% 0.22/0.80  
% 0.22/0.80  % Terminating...
% 1.67/0.86  % Runner terminated.
% 1.67/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------