TSTP Solution File: SEU150+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU150+2 : 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.T5QUY5KAaA true

% Computer : n024.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 19:10:47 EDT 2023

% Result   : Theorem 0.70s 0.78s
% Output   : Refutation 0.70s
% 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 :   55 (   8   ~;   5   |;   0   &;  39   @)
%                                         (   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   :   24 (   0   ^;  24   !;   0   ?;  24   :)

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

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

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

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

thf(sk__15_type,type,
    sk__15: $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_cl116,plain,
    ( ( singleton @ sk__13 )
    = ( unordered_pair @ sk__14 @ sk__15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl116_001,plain,
    ( ( singleton @ sk__13 )
    = ( unordered_pair @ sk__14 @ sk__15 ) ),
    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_cl115,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_cl496,plain,
    ! [X0: $i] :
      ( ( ( singleton @ X0 )
       != ( singleton @ sk__13 ) )
      | ( X0 = sk__14 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl115]) ).

thf(zip_derived_cl498,plain,
    sk__13 = sk__14,
    inference(eq_res,[status(thm)],[zip_derived_cl496]) ).

thf(zip_derived_cl499,plain,
    ( ( singleton @ sk__13 )
    = ( unordered_pair @ sk__13 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl498]) ).

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

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( unordered_pair @ X1 @ X0 )
      = ( unordered_pair @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).

thf(zip_derived_cl115_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_cl482,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( singleton @ X2 )
       != ( unordered_pair @ X1 @ X0 ) )
      | ( X2 = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl115]) ).

thf(zip_derived_cl511,plain,
    ! [X0: $i] :
      ( ( ( singleton @ X0 )
       != ( singleton @ sk__13 ) )
      | ( X0 = sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl499,zip_derived_cl482]) ).

thf(zip_derived_cl512,plain,
    sk__13 = sk__15,
    inference(eq_res,[status(thm)],[zip_derived_cl511]) ).

thf(zip_derived_cl117,plain,
    sk__14 != sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl498_003,plain,
    sk__13 = sk__14,
    inference(eq_res,[status(thm)],[zip_derived_cl496]) ).

thf(zip_derived_cl500,plain,
    sk__13 != sk__15,
    inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl498]) ).

thf(zip_derived_cl513,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl512,zip_derived_cl500]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem  : SEU150+2 : TPTP v8.1.2. Released v3.3.0.
% 0.05/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.T5QUY5KAaA true
% 0.11/0.32  % Computer : n024.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Wed Aug 23 19:33:09 EDT 2023
% 0.11/0.32  % CPUTime  : 
% 0.11/0.32  % Running portfolio for 300 s
% 0.11/0.32  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32  % Number of cores: 8
% 0.17/0.33  % Python version: Python 3.6.8
% 0.17/0.33  % Running in FO mode
% 0.18/0.62  % Total configuration time : 435
% 0.18/0.62  % Estimated wc time : 1092
% 0.18/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.62/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.62/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.62/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.70/0.78  % Solved by fo/fo3_bce.sh.
% 0.70/0.78  % BCE start: 118
% 0.70/0.78  % BCE eliminated: 2
% 0.70/0.78  % PE start: 116
% 0.70/0.78  logic: eq
% 0.70/0.78  % PE eliminated: 0
% 0.70/0.78  % done 48 iterations in 0.045s
% 0.70/0.78  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.70/0.78  % SZS output start Refutation
% See solution above
% 0.70/0.78  
% 0.70/0.78  
% 0.70/0.78  % Terminating...
% 0.70/0.84  % Runner terminated.
% 0.70/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------