TSTP Solution File: SEU150+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU150+1 : 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.tN1qn85seX true

% Computer : n016.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 19:10:46 EDT 2023

% Result   : Theorem 0.21s 0.74s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   24 (  11 unt;   5 typ;   0 def)
%            Number of atoms       :   27 (  26 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   59 (   8   ~;   5   |;   0   &;  43   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   26 (   0   ^;  26   !;   0   ?;  26   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__1_type,type,
    sk__1: $i ).

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

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

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

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

thf(t9_zfmisc_1,conjecture,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( singleton @ A )
        = ( unordered_pair @ B @ C ) )
     => ( B = C ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( ( singleton @ A )
          = ( unordered_pair @ B @ C ) )
       => ( B = C ) ),
    inference('cnf.neg',[status(esa)],[t9_zfmisc_1]) ).

thf(zip_derived_cl4,plain,
    ( ( singleton @ sk_ )
    = ( unordered_pair @ sk__1 @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4_001,plain,
    ( ( singleton @ sk_ )
    = ( unordered_pair @ sk__1 @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t8_zfmisc_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( singleton @ A )
        = ( unordered_pair @ B @ C ) )
     => ( A = B ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X0 )
      | ( ( singleton @ X1 )
       != ( unordered_pair @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[t8_zfmisc_1]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ( sk_ = X1 )
      | ( ( unordered_pair @ sk__1 @ sk__2 )
       != ( unordered_pair @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl3]) ).

thf(zip_derived_cl14,plain,
    sk_ = sk__1,
    inference(eq_res,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl15,plain,
    ( ( singleton @ sk_ )
    = ( unordered_pair @ sk_ @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl14]) ).

thf(commutativity_k2_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ( unordered_pair @ A @ B )
      = ( unordered_pair @ B @ A ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( unordered_pair @ X1 @ X0 )
      = ( unordered_pair @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).

thf(zip_derived_cl3_002,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X0 )
      | ( ( singleton @ X1 )
       != ( unordered_pair @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[t8_zfmisc_1]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2 = X0 )
      | ( ( singleton @ X2 )
       != ( unordered_pair @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl3]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i] :
      ( ( sk_ = X0 )
      | ( ( unordered_pair @ sk_ @ sk__2 )
       != ( unordered_pair @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl6]) ).

thf(zip_derived_cl25,plain,
    sk_ = sk__2,
    inference(eq_res,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl5,plain,
    sk__1 != sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl14_003,plain,
    sk_ = sk__1,
    inference(eq_res,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl16,plain,
    sk_ != sk__2,
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl14]) ).

thf(zip_derived_cl26,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl25,zip_derived_cl16]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU150+1 : 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.tN1qn85seX true
% 0.14/0.34  % Computer : n016.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed Aug 23 16:51:22 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.21/0.35  % Python version: Python 3.6.8
% 0.21/0.35  % Running in FO mode
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74  % Solved by fo/fo6_bce.sh.
% 0.21/0.74  % BCE start: 6
% 0.21/0.74  % BCE eliminated: 0
% 0.21/0.74  % PE start: 6
% 0.21/0.74  logic: eq
% 0.21/0.74  % PE eliminated: 0
% 0.21/0.74  % done 16 iterations in 0.009s
% 0.21/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.74  % SZS output start Refutation
% See solution above
% 0.21/0.74  
% 0.21/0.74  
% 0.21/0.74  % Terminating...
% 0.21/0.85  % Runner terminated.
% 0.21/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------