TSTP Solution File: SEU142+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU142+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sE477Rv2pX true

% Computer : n026.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 19:10:42 EDT 2023

% Result   : Theorem 0.21s 0.82s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   29 (   9 unt;   5 typ;   0 def)
%            Number of atoms       :   52 (  36 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  157 (  20   ~;  24   |;   0   &; 109   @)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   37 (   0   ^;  37   !;   0   ?;  37   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__3_type,type,
    sk__3: $i ).

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

thf(unordered_pair_type,type,
    unordered_pair: $i > $i > $i ).

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

thf(singleton_type,type,
    singleton: $i > $i ).

thf(d1_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ( B
        = ( singleton @ A ) )
    <=> ! [C: $i] :
          ( ( in @ C @ B )
        <=> ( C = A ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
        = ( singleton @ X0 ) )
      | ( ( sk_ @ X1 @ X0 )
        = X0 )
      | ( in @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[d1_tarski]) ).

thf(t69_enumset1,conjecture,
    ! [A: $i] :
      ( ( unordered_pair @ A @ A )
      = ( singleton @ A ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( unordered_pair @ A @ A )
        = ( singleton @ A ) ),
    inference('cnf.neg',[status(esa)],[t69_enumset1]) ).

thf(zip_derived_cl16,plain,
    ( ( unordered_pair @ sk__3 @ sk__3 )
   != ( singleton @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i] :
      ( ( ( unordered_pair @ sk__3 @ sk__3 )
       != X0 )
      | ( in @ ( sk_ @ X0 @ sk__3 ) @ X0 )
      | ( ( sk_ @ X0 @ sk__3 )
        = sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl16]) ).

thf(d2_tarski,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C
        = ( unordered_pair @ A @ B ) )
    <=> ! [D: $i] :
          ( ( in @ D @ C )
        <=> ( ( D = A )
            | ( D = B ) ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 != X0 )
      | ( in @ X1 @ X2 )
      | ( X2
       != ( unordered_pair @ X3 @ X0 ) ) ),
    inference(cnf,[status(esa)],[d2_tarski]) ).

thf(zip_derived_cl88,plain,
    ! [X0: $i] :
      ( ( in @ ( sk_ @ X0 @ sk__3 ) @ X0 )
      | ( ( unordered_pair @ sk__3 @ sk__3 )
       != X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl58,zip_derived_cl6]) ).

thf(zip_derived_cl91,plain,
    in @ ( sk_ @ ( unordered_pair @ sk__3 @ sk__3 ) @ sk__3 ) @ ( unordered_pair @ sk__3 @ sk__3 ),
    inference(eq_res,[status(thm)],[zip_derived_cl88]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( X0 = X2 )
      | ( X0 = X3 )
      | ( X1
       != ( unordered_pair @ X2 @ X3 ) ) ),
    inference(cnf,[status(esa)],[d2_tarski]) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = X1 )
      | ( X0 = X2 )
      | ~ ( in @ X0 @ ( unordered_pair @ X2 @ X1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl93,plain,
    ( ( ( sk_ @ ( unordered_pair @ sk__3 @ sk__3 ) @ sk__3 )
      = sk__3 )
    | ( ( sk_ @ ( unordered_pair @ sk__3 @ sk__3 ) @ sk__3 )
      = sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl45]) ).

thf(zip_derived_cl98,plain,
    ( ( sk_ @ ( unordered_pair @ sk__3 @ sk__3 ) @ sk__3 )
    = sk__3 ),
    inference(simplify,[status(thm)],[zip_derived_cl93]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
        = ( singleton @ X0 ) )
      | ( ( sk_ @ X1 @ X0 )
       != X0 )
      | ~ ( in @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[d1_tarski]) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
        = ( singleton @ X0 ) )
      | ( ( sk_ @ X1 @ X0 )
       != X0 )
      | ~ ( in @ X0 @ X1 ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl100,plain,
    ( ( sk__3 != sk__3 )
    | ~ ( in @ sk__3 @ ( unordered_pair @ sk__3 @ sk__3 ) )
    | ( ( unordered_pair @ sk__3 @ sk__3 )
      = ( singleton @ sk__3 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl26]) ).

thf(zip_derived_cl6_001,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 != X0 )
      | ( in @ X1 @ X2 )
      | ( X2
       != ( unordered_pair @ X3 @ X0 ) ) ),
    inference(cnf,[status(esa)],[d2_tarski]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0
       != ( unordered_pair @ X2 @ X1 ) )
      | ( in @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i] : ( in @ X0 @ ( unordered_pair @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl104,plain,
    ( ( sk__3 != sk__3 )
    | ( ( unordered_pair @ sk__3 @ sk__3 )
      = ( singleton @ sk__3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl100,zip_derived_cl22]) ).

thf(zip_derived_cl105,plain,
    ( ( unordered_pair @ sk__3 @ sk__3 )
    = ( singleton @ sk__3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl104]) ).

thf(zip_derived_cl16_002,plain,
    ( ( unordered_pair @ sk__3 @ sk__3 )
   != ( singleton @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl106,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl105,zip_derived_cl16]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU142+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sE477Rv2pX true
% 0.17/0.35  % Computer : n026.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.36  % DateTime : Thu Aug 24 00:04:31 EDT 2023
% 0.17/0.36  % CPUTime  : 
% 0.17/0.36  % Running portfolio for 300 s
% 0.17/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.36  % Number of cores: 8
% 0.17/0.36  % Python version: Python 3.6.8
% 0.17/0.36  % Running in FO mode
% 0.21/0.66  % Total configuration time : 435
% 0.21/0.66  % Estimated wc time : 1092
% 0.21/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.82  % Solved by fo/fo7.sh.
% 0.21/0.82  % done 46 iterations in 0.040s
% 0.21/0.82  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.82  % SZS output start Refutation
% See solution above
% 0.21/0.82  
% 0.21/0.82  
% 0.21/0.82  % Terminating...
% 0.21/0.86  % Runner terminated.
% 0.21/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------