TSTP Solution File: SET988+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET988+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gaaqhMmH90 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 16:17:06 EDT 2023

% Result   : Theorem 0.22s 0.79s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   37 (   7 unt;  11 typ;   0 def)
%            Number of atoms       :   61 (  17 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  179 (  24   ~;  18   |;  10   &; 120   @)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   2 con; 0-2 aty)
%            Number of variables   :   38 (   0   ^;  38   !;   0   ?;  38   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__15_type,type,
    sk__15: $i > $i ).

thf(sk__14_type,type,
    sk__14: $i > $i ).

thf(sk__9_type,type,
    sk__9: $i ).

thf(relation_type,type,
    relation: $i > $o ).

thf(sk__10_type,type,
    sk__10: $i > $i ).

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

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

thf(in_type,type,
    in: $i > $i > $o ).

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

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

thf(function_type,type,
    function: $i > $o ).

thf(d1_funct_1,axiom,
    ! [A: $i] :
      ( ( function @ A )
    <=> ! [B: $i,C: $i,D: $i] :
          ( ( ( in @ ( ordered_pair @ B @ C ) @ A )
            & ( in @ ( ordered_pair @ B @ D ) @ A ) )
         => ( C = D ) ) ) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i] :
      ( ( function @ X0 )
      | ( in @ ( ordered_pair @ ( sk__12 @ X0 ) @ ( sk__14 @ X0 ) ) @ X0 ) ),
    inference(cnf,[status(esa)],[d1_funct_1]) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i] :
      ( ( function @ X0 )
      | ( in @ ( ordered_pair @ ( sk__12 @ X0 ) @ ( sk__13 @ X0 ) ) @ X0 ) ),
    inference(cnf,[status(esa)],[d1_funct_1]) ).

thf(t2_funct_1,conjecture,
    ! [A: $i] :
      ( ( ! [B: $i] :
            ~ ( ( in @ B @ A )
              & ! [C: $i,D: $i] :
                  ( ( ordered_pair @ C @ D )
                 != B ) )
        & ! [B: $i,C: $i,D: $i] :
            ( ( ( in @ ( ordered_pair @ B @ C ) @ A )
              & ( in @ ( ordered_pair @ B @ D ) @ A ) )
           => ( C = D ) ) )
     => ( ( relation @ A )
        & ( function @ A ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ! [B: $i] :
              ~ ( ( in @ B @ A )
                & ! [C: $i,D: $i] :
                    ( ( ordered_pair @ C @ D )
                   != B ) )
          & ! [B: $i,C: $i,D: $i] :
              ( ( ( in @ ( ordered_pair @ B @ C ) @ A )
                & ( in @ ( ordered_pair @ B @ D ) @ A ) )
             => ( C = D ) ) )
       => ( ( relation @ A )
          & ( function @ A ) ) ),
    inference('cnf.neg',[status(esa)],[t2_funct_1]) ).

thf(zip_derived_cl41,plain,
    ! [X1: $i,X2: $i,X3: $i] :
      ( ~ ( in @ ( ordered_pair @ X1 @ X2 ) @ sk__9 )
      | ~ ( in @ ( ordered_pair @ X1 @ X3 ) @ sk__9 )
      | ( X2 = X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl385,plain,
    ! [X0: $i] :
      ( ( function @ sk__9 )
      | ~ ( in @ ( ordered_pair @ ( sk__12 @ sk__9 ) @ X0 ) @ sk__9 )
      | ( ( sk__13 @ sk__9 )
        = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl41]) ).

thf(zip_derived_cl42,plain,
    ( ~ ( relation @ sk__9 )
    | ~ ( function @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d1_relat_1,axiom,
    ! [A: $i] :
      ( ( relation @ A )
    <=> ! [B: $i] :
          ~ ( ( in @ B @ A )
            & ! [C: $i,D: $i] :
                ( B
               != ( ordered_pair @ C @ D ) ) ) ) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i] :
      ( ( relation @ X0 )
      | ( in @ ( sk__15 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d1_relat_1]) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ sk__9 )
      | ( ( ordered_pair @ ( sk__10 @ X0 ) @ ( sk__11 @ X0 ) )
        = X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( relation @ X0 )
      | ( ( sk__15 @ X0 )
       != ( ordered_pair @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[d1_relat_1]) ).

thf(zip_derived_cl346,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ sk__9 )
      | ( relation @ X1 )
      | ( ( sk__15 @ X1 )
       != X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl49]) ).

thf(zip_derived_cl362,plain,
    ! [X0: $i] :
      ( ( relation @ X0 )
      | ~ ( in @ ( sk__15 @ X0 ) @ sk__9 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl346]) ).

thf(zip_derived_cl418,plain,
    ( ( relation @ sk__9 )
    | ( relation @ sk__9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl362]) ).

thf(zip_derived_cl421,plain,
    relation @ sk__9,
    inference(simplify,[status(thm)],[zip_derived_cl418]) ).

thf(zip_derived_cl422,plain,
    ~ ( function @ sk__9 ),
    inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl421]) ).

thf(zip_derived_cl525,plain,
    ! [X0: $i] :
      ( ~ ( in @ ( ordered_pair @ ( sk__12 @ sk__9 ) @ X0 ) @ sk__9 )
      | ( ( sk__13 @ sk__9 )
        = X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl385,zip_derived_cl422]) ).

thf(zip_derived_cl527,plain,
    ( ( function @ sk__9 )
    | ( ( sk__13 @ sk__9 )
      = ( sk__14 @ sk__9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl525]) ).

thf(zip_derived_cl422_001,plain,
    ~ ( function @ sk__9 ),
    inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl421]) ).

thf(zip_derived_cl534,plain,
    ( ( sk__13 @ sk__9 )
    = ( sk__14 @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl527,zip_derived_cl422]) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i] :
      ( ( function @ X0 )
      | ( ( sk__13 @ X0 )
       != ( sk__14 @ X0 ) ) ),
    inference(cnf,[status(esa)],[d1_funct_1]) ).

thf(zip_derived_cl537,plain,
    ( ( function @ sk__9 )
    | ( ( sk__13 @ sk__9 )
     != ( sk__13 @ sk__9 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl534,zip_derived_cl46]) ).

thf(zip_derived_cl422_002,plain,
    ~ ( function @ sk__9 ),
    inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl421]) ).

thf(zip_derived_cl540,plain,
    ( ( sk__13 @ sk__9 )
   != ( sk__13 @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl537,zip_derived_cl422]) ).

thf(zip_derived_cl541,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl540]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SET988+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gaaqhMmH90 true
% 0.14/0.36  % Computer : n020.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % 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 : Sat Aug 26 12:45:00 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/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
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74  % /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
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.79  % Solved by fo/fo6_bce.sh.
% 0.22/0.79  % BCE start: 50
% 0.22/0.79  % BCE eliminated: 2
% 0.22/0.79  % PE start: 48
% 0.22/0.79  logic: eq
% 0.22/0.79  % PE eliminated: 2
% 0.22/0.79  % done 130 iterations in 0.065s
% 0.22/0.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.79  % SZS output start Refutation
% See solution above
% 0.22/0.79  
% 0.22/0.79  
% 0.22/0.79  % Terminating...
% 0.22/0.87  % Runner terminated.
% 1.32/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------