TSTP Solution File: SEU267+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU267+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HkAkMdZEGG true

% Computer : n020.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 19:11:43 EDT 2023

% Result   : Theorem 1.54s 0.85s
% Output   : Refutation 1.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   22 (   5 unt;   5 typ;   0 def)
%            Number of atoms       :   39 (  38 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  119 (  19   ~;  14   |;   2   &;  78   @)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   50 (   0   ^;  46   !;   4   ?;  50   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__20_type,type,
    sk__20: $i ).

thf(pair_second_type,type,
    pair_second: $i > $i ).

thf(sk__19_type,type,
    sk__19: $i ).

thf(ordered_pair_type,type,
    ordered_pair: $i > $i > $i ).

thf(pair_first_type,type,
    pair_first: $i > $i ).

thf(t7_mcart_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( ( pair_second @ ( ordered_pair @ A @ B ) )
        = B )
      & ( ( pair_first @ ( ordered_pair @ A @ B ) )
        = A ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( ( pair_second @ ( ordered_pair @ A @ B ) )
          = B )
        & ( ( pair_first @ ( ordered_pair @ A @ B ) )
          = A ) ),
    inference('cnf.neg',[status(esa)],[t7_mcart_1]) ).

thf(zip_derived_cl30,plain,
    ( ( ( pair_second @ ( ordered_pair @ sk__19 @ sk__20 ) )
     != sk__20 )
    | ( ( pair_first @ ( ordered_pair @ sk__19 @ sk__20 ) )
     != sk__19 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d1_mcart_1,axiom,
    ! [A: $i] :
      ( ? [B: $i,C: $i] :
          ( A
          = ( ordered_pair @ B @ C ) )
     => ! [B: $i] :
          ( ( B
            = ( pair_first @ A ) )
        <=> ! [C: $i,D: $i] :
              ( ( A
                = ( ordered_pair @ C @ D ) )
             => ( B = C ) ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( X1
       != ( pair_first @ X0 ) )
      | ( X1 = X2 )
      | ( X0
       != ( ordered_pair @ X2 @ X3 ) )
      | ( X0
       != ( ordered_pair @ X4 @ X5 ) ) ),
    inference(cnf,[status(esa)],[d1_mcart_1]) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( ( ordered_pair @ X1 @ X0 )
       != ( ordered_pair @ X3 @ X2 ) )
      | ( X4 = X1 )
      | ( X4
       != ( pair_first @ ( ordered_pair @ X1 @ X0 ) ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( pair_first @ ( ordered_pair @ X1 @ X0 ) )
        = X1 )
      | ( ( ordered_pair @ X1 @ X0 )
       != ( ordered_pair @ X3 @ X2 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i,X1: $i] :
      ( ( pair_first @ ( ordered_pair @ X1 @ X0 ) )
      = X1 ),
    inference(eq_res,[status(thm)],[zip_derived_cl36]) ).

thf(zip_derived_cl39,plain,
    ( ( ( pair_second @ ( ordered_pair @ sk__19 @ sk__20 ) )
     != sk__20 )
    | ( sk__19 != sk__19 ) ),
    inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl38]) ).

thf(zip_derived_cl40,plain,
    ( ( pair_second @ ( ordered_pair @ sk__19 @ sk__20 ) )
   != sk__20 ),
    inference(simplify,[status(thm)],[zip_derived_cl39]) ).

thf(d2_mcart_1,axiom,
    ! [A: $i] :
      ( ? [B: $i,C: $i] :
          ( A
          = ( ordered_pair @ B @ C ) )
     => ! [B: $i] :
          ( ( B
            = ( pair_second @ A ) )
        <=> ! [C: $i,D: $i] :
              ( ( A
                = ( ordered_pair @ C @ D ) )
             => ( B = D ) ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( X1
       != ( pair_second @ X0 ) )
      | ( X1 = X2 )
      | ( X0
       != ( ordered_pair @ X3 @ X2 ) )
      | ( X0
       != ( ordered_pair @ X4 @ X5 ) ) ),
    inference(cnf,[status(esa)],[d2_mcart_1]) ).

thf(zip_derived_cl42,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( ( ordered_pair @ X1 @ X0 )
       != ( ordered_pair @ X3 @ X2 ) )
      | ( X4 = X0 )
      | ( X4
       != ( pair_second @ ( ordered_pair @ X1 @ X0 ) ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( pair_second @ ( ordered_pair @ X1 @ X0 ) )
        = X0 )
      | ( ( ordered_pair @ X1 @ X0 )
       != ( ordered_pair @ X3 @ X2 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl42]) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i,X1: $i] :
      ( ( pair_second @ ( ordered_pair @ X1 @ X0 ) )
      = X0 ),
    inference(eq_res,[status(thm)],[zip_derived_cl43]) ).

thf(zip_derived_cl45,plain,
    sk__20 != sk__20,
    inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl44]) ).

thf(zip_derived_cl46,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl45]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU267+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HkAkMdZEGG true
% 0.13/0.35  % Computer : n020.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 : Wed Aug 23 18:54:45 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % 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
% 0.13/0.36  % Running in FO mode
% 0.20/0.62  % Total configuration time : 435
% 0.20/0.62  % Estimated wc time : 1092
% 0.20/0.62  % 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
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.54/0.85  % Solved by fo/fo4.sh.
% 1.54/0.85  % done 20 iterations in 0.026s
% 1.54/0.85  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.54/0.85  % SZS output start Refutation
% See solution above
% 1.54/0.85  
% 1.54/0.85  
% 1.54/0.85  % Terminating...
% 1.99/0.94  % Runner terminated.
% 1.99/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------