TSTP Solution File: SEU142+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU142+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.tB9sLSNnwE 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 2.32s 1.02s
% Output   : Refutation 2.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   30 (   7 unt;   5 typ;   0 def)
%            Number of atoms       :   64 (  54 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  212 (  18   ~;  35   |;   0   &; 155   @)
%                                         (   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   :   47 (   0   ^;  47   !;   0   ?;  47   :)

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

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

thf(sk__2_type,type,
    sk__2: $i ).

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

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

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_cl11,plain,
    ( ( unordered_pair @ sk__2 @ sk__2 )
   != ( singleton @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

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(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_cl7,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_cl23,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( sk_ @ X0 @ X1 )
        = X1 )
      | ( X0
        = ( singleton @ X1 ) )
      | ( X0
       != ( unordered_pair @ X3 @ X2 ) )
      | ( ( sk_ @ X0 @ X1 )
        = X2 )
      | ( ( sk_ @ X0 @ X1 )
        = X3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl7]) ).

thf(zip_derived_cl286,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( sk_ @ ( unordered_pair @ X2 @ X1 ) @ X0 )
        = X2 )
      | ( ( sk_ @ ( unordered_pair @ X2 @ X1 ) @ X0 )
        = X1 )
      | ( ( unordered_pair @ X2 @ X1 )
        = ( singleton @ X0 ) )
      | ( ( sk_ @ ( unordered_pair @ X2 @ X1 ) @ X0 )
        = X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl1459,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 != X2 )
      | ( ( sk_ @ ( unordered_pair @ X0 @ X2 ) @ X1 )
        = X1 )
      | ( ( unordered_pair @ X0 @ X2 )
        = ( singleton @ X1 ) )
      | ( ( sk_ @ ( unordered_pair @ X0 @ X2 ) @ X1 )
        = X2 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl286]) ).

thf(zip_derived_cl1491,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sk_ @ ( unordered_pair @ X1 @ X1 ) @ X0 )
        = X1 )
      | ( ( unordered_pair @ X1 @ X1 )
        = ( singleton @ X0 ) )
      | ( ( sk_ @ ( unordered_pair @ X1 @ X1 ) @ X0 )
        = X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1459]) ).

thf(zip_derived_cl1530,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 != X1 )
      | ( ( sk_ @ ( unordered_pair @ X0 @ X0 ) @ X1 )
        = X1 )
      | ( ( unordered_pair @ X0 @ X0 )
        = ( singleton @ X1 ) ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl1491]) ).

thf(zip_derived_cl1548,plain,
    ! [X0: $i] :
      ( ( ( unordered_pair @ X0 @ X0 )
        = ( singleton @ X0 ) )
      | ( ( sk_ @ ( unordered_pair @ X0 @ X0 ) @ X0 )
        = X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1530]) ).

thf(zip_derived_cl1548_001,plain,
    ! [X0: $i] :
      ( ( ( unordered_pair @ X0 @ X0 )
        = ( singleton @ X0 ) )
      | ( ( sk_ @ ( unordered_pair @ X0 @ X0 ) @ X0 )
        = X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1530]) ).

thf(zip_derived_cl3,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_cl1550,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ ( unordered_pair @ X0 @ X0 ) )
      | ( ( unordered_pair @ X0 @ X0 )
        = ( singleton @ X0 ) )
      | ( ( sk_ @ ( unordered_pair @ X0 @ X0 ) @ X0 )
       != X0 )
      | ( ( unordered_pair @ X0 @ X0 )
        = ( singleton @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl3]) ).

thf(zip_derived_cl5,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_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0
       != ( unordered_pair @ X2 @ X1 ) )
      | ( in @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i,X1: $i] : ( in @ X0 @ ( unordered_pair @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl1563,plain,
    ! [X0: $i] :
      ( ( ( unordered_pair @ X0 @ X0 )
        = ( singleton @ X0 ) )
      | ( ( sk_ @ ( unordered_pair @ X0 @ X0 ) @ X0 )
       != X0 )
      | ( ( unordered_pair @ X0 @ X0 )
        = ( singleton @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1550,zip_derived_cl63]) ).

thf(zip_derived_cl1564,plain,
    ! [X0: $i] :
      ( ( ( sk_ @ ( unordered_pair @ X0 @ X0 ) @ X0 )
       != X0 )
      | ( ( unordered_pair @ X0 @ X0 )
        = ( singleton @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1563]) ).

thf(zip_derived_cl1599,plain,
    ! [X0: $i] :
      ( ( X0 != X0 )
      | ( ( unordered_pair @ X0 @ X0 )
        = ( singleton @ X0 ) )
      | ( ( unordered_pair @ X0 @ X0 )
        = ( singleton @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1548,zip_derived_cl1564]) ).

thf(zip_derived_cl1614,plain,
    ! [X0: $i] :
      ( ( unordered_pair @ X0 @ X0 )
      = ( singleton @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1599]) ).

thf(zip_derived_cl1615,plain,
    ( ( singleton @ sk__2 )
   != ( singleton @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl1614]) ).

thf(zip_derived_cl1616,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl1615]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU142+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.tB9sLSNnwE true
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Aug 23 12:57:46 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.65  % Total configuration time : 435
% 0.20/0.65  % Estimated wc time : 1092
% 0.20/0.65  % 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
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 2.32/1.02  % Solved by fo/fo4.sh.
% 2.32/1.02  % done 283 iterations in 0.252s
% 2.32/1.02  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.32/1.02  % SZS output start Refutation
% See solution above
% 2.32/1.02  
% 2.32/1.02  
% 2.32/1.02  % Terminating...
% 2.91/1.11  % Runner terminated.
% 2.91/1.11  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------