TSTP Solution File: NUN067+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUN067+2 : 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.LsM2KeWISs true

% Computer : n015.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 12:54:20 EDT 2023

% Result   : Theorem 0.22s 0.75s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   35 (   9 unt;  11 typ;   0 def)
%            Number of atoms       :   48 (  14 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  106 (  23   ~;  14   |;   8   &;  59   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   20 (  20   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   2 con; 0-3 aty)
%            Number of variables   :   44 (   0   ^;  36   !;   8   ?;  44   :)

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

thf(sk__11_type,type,
    sk__11: $i > $i > $i ).

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

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

thf(zip_tseitin_1_type,type,
    zip_tseitin_1: $i > $i > $o ).

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

thf(sk__type,type,
    sk_: $i ).

thf(zip_tseitin_0_type,type,
    zip_tseitin_0: $i > $i > $o ).

thf(r4_type,type,
    r4: $i > $i > $i > $o ).

thf(axiom_2a,axiom,
    ! [X2: $i,X9: $i] :
    ? [Y2: $i] :
      ( ? [Y6: $i] :
          ( ( r4 @ X2 @ X9 @ Y6 )
          & ( r3 @ Y6 @ X2 @ Y2 ) )
      & ? [Y3: $i] :
          ( ( Y3 = Y2 )
          & ? [Y14: $i] :
              ( ( r4 @ X2 @ Y14 @ Y3 )
              & ( r2 @ X9 @ Y14 ) ) ) ) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i] : ( r2 @ X0 @ ( sk__11 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[axiom_2a]) ).

thf(axiom_1,axiom,
    ? [Y24: $i] :
    ! [X19: $i] :
      ( ( ~ ( r1 @ X19 )
        & ( X19 != Y24 ) )
      | ( ( r1 @ X19 )
        & ( X19 = Y24 ) ) ) ).

thf(zf_stmt_0,type,
    zip_tseitin_1: $i > $i > $o ).

thf(zf_stmt_1,axiom,
    ! [X19: $i,Y24: $i] :
      ( ( zip_tseitin_1 @ X19 @ Y24 )
     => ( ( X19 = Y24 )
        & ( r1 @ X19 ) ) ) ).

thf(zf_stmt_2,type,
    zip_tseitin_0: $i > $i > $o ).

thf(zf_stmt_3,axiom,
    ! [X19: $i,Y24: $i] :
      ( ( zip_tseitin_0 @ X19 @ Y24 )
     => ( ( X19 != Y24 )
        & ~ ( r1 @ X19 ) ) ) ).

thf(zf_stmt_4,axiom,
    ? [Y24: $i] :
    ! [X19: $i] :
      ( ( zip_tseitin_1 @ X19 @ Y24 )
      | ( zip_tseitin_0 @ X19 @ Y24 ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_1 @ X0 @ sk_ )
      | ( zip_tseitin_0 @ X0 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ X0 )
      | ~ ( zip_tseitin_0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl163,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_1 @ X0 @ sk_ )
      | ~ ( r1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl1]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ~ ( zip_tseitin_1 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl174,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ X0 )
      | ( X0 = sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl163,zip_derived_cl2]) ).

thf(nonzerosexist,conjecture,
    ? [Y1: $i] :
    ! [Y2: $i] :
      ( ( Y1 != Y2 )
      | ~ ( r1 @ Y2 ) ) ).

thf(zf_stmt_5,negated_conjecture,
    ~ ? [Y1: $i] :
      ! [Y2: $i] :
        ( ( Y1 != Y2 )
        | ~ ( r1 @ Y2 ) ),
    inference('cnf.neg',[status(esa)],[nonzerosexist]) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i] : ( r1 @ ( sk__20 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i] :
      ( X0
      = ( sk__20 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl227,plain,
    ! [X0: $i] : ( r1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl45]) ).

thf(zip_derived_cl228,plain,
    ! [X0: $i] : ( X0 = sk_ ),
    inference(demod,[status(thm)],[zip_derived_cl174,zip_derived_cl227]) ).

thf(zip_derived_cl243,plain,
    ! [X0: $i] : ( r2 @ X0 @ sk_ ),
    inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl228]) ).

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

thf(zip_derived_cl43,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r2 @ X0 @ X1 )
      | ~ ( r1 @ X2 )
      | ( X2 != X1 ) ),
    inference(cnf,[status(esa)],[axiom_7a]) ).

thf(zip_derived_cl227_001,plain,
    ! [X0: $i] : ( r1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl45]) ).

thf(zip_derived_cl229,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r2 @ X0 @ X1 )
      | ( X2 != X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl227]) ).

thf(zip_derived_cl230,plain,
    ! [X0: $i,X1: $i] :
      ~ ( r2 @ X1 @ X0 ),
    inference(eq_res,[status(thm)],[zip_derived_cl229]) ).

thf(zip_derived_cl248,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl243,zip_derived_cl230]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : NUN067+2 : TPTP v8.1.2. Released v7.3.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LsM2KeWISs true
% 0.13/0.35  % Computer : n015.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sun Aug 27 09:32:09 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.22/0.63  % Total configuration time : 435
% 0.22/0.63  % Estimated wc time : 1092
% 0.22/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.75  % Solved by fo/fo6_bce.sh.
% 0.22/0.75  % BCE start: 46
% 0.22/0.75  % BCE eliminated: 0
% 0.22/0.75  % PE start: 46
% 0.22/0.75  logic: eq
% 0.22/0.75  % PE eliminated: 17
% 0.22/0.75  % done 25 iterations in 0.018s
% 0.22/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.75  % SZS output start Refutation
% See solution above
% 0.22/0.75  
% 0.22/0.75  
% 0.22/0.76  % Terminating...
% 1.61/0.84  % Runner terminated.
% 1.61/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------