TSTP Solution File: SEU149+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU149+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.WnhBRGplBJ true

% Computer : n008.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 0.23s 0.73s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   26 (   9 unt;   6 typ;   0 def)
%            Number of atoms       :   36 (  24 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   85 (  11   ~;  10   |;   0   &;  58   @)
%                                         (   4 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   36 (   0   ^;  36   !;   0   ?;  36   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__4_type,type,
    sk__4: $i ).

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

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

thf(sk__3_type,type,
    sk__3: $i ).

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

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

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_cl46,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_cl60,plain,
    ! [X0: $i,X1: $i] : ( in @ X0 @ ( unordered_pair @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl46]) ).

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

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( ( singleton @ A )
          = ( unordered_pair @ B @ C ) )
       => ( A = B ) ),
    inference('cnf.neg',[status(esa)],[t8_zfmisc_1]) ).

thf(zip_derived_cl14,plain,
    ( ( singleton @ sk__2 )
    = ( unordered_pair @ sk__3 @ sk__4 ) ),
    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_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( X0 = X2 )
      | ( X1
       != ( singleton @ X2 ) ) ),
    inference(cnf,[status(esa)],[d1_tarski]) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ ( in @ X0 @ ( singleton @ X1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i] :
      ( ( X0 = sk__2 )
      | ~ ( in @ X0 @ ( unordered_pair @ sk__3 @ sk__4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl44]) ).

thf(zip_derived_cl60_001,plain,
    ! [X0: $i,X1: $i] : ( in @ X0 @ ( unordered_pair @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl50_002,plain,
    ! [X0: $i] :
      ( ( X0 = sk__2 )
      | ~ ( in @ X0 @ ( unordered_pair @ sk__3 @ sk__4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl44]) ).

thf(zip_derived_cl95,plain,
    sk__4 = sk__2,
    inference('s_sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl50]) ).

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

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( unordered_pair @ X1 @ X0 )
      = ( unordered_pair @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).

thf(zip_derived_cl104,plain,
    ! [X0: $i] :
      ( ( X0 = sk__2 )
      | ~ ( in @ X0 @ ( unordered_pair @ sk__2 @ sk__3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl95,zip_derived_cl1]) ).

thf(zip_derived_cl128,plain,
    sk__3 = sk__2,
    inference('s_sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl104]) ).

thf(zip_derived_cl15,plain,
    sk__2 != sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl128,zip_derived_cl15]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU149+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WnhBRGplBJ true
% 0.18/0.36  % Computer : n008.cluster.edu
% 0.18/0.36  % Model    : x86_64 x86_64
% 0.18/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36  % Memory   : 8042.1875MB
% 0.18/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36  % CPULimit : 300
% 0.18/0.36  % WCLimit  : 300
% 0.18/0.36  % DateTime : Wed Aug 23 20:05:17 EDT 2023
% 0.18/0.36  % CPUTime  : 
% 0.18/0.36  % Running portfolio for 300 s
% 0.18/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.36  % Number of cores: 8
% 0.18/0.36  % Python version: Python 3.6.8
% 0.18/0.36  % Running in FO mode
% 0.23/0.65  % Total configuration time : 435
% 0.23/0.65  % Estimated wc time : 1092
% 0.23/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.73  % Solved by fo/fo6_bce.sh.
% 0.23/0.73  % BCE start: 16
% 0.23/0.73  % BCE eliminated: 0
% 0.23/0.73  % PE start: 16
% 0.23/0.73  logic: eq
% 0.23/0.73  % PE eliminated: 0
% 0.23/0.73  % done 53 iterations in 0.023s
% 0.23/0.73  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.23/0.73  % SZS output start Refutation
% See solution above
% 0.23/0.73  
% 0.23/0.73  
% 0.23/0.73  % Terminating...
% 0.23/0.76  % Runner terminated.
% 0.23/0.77  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------