TSTP Solution File: SEU149+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU149+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.kj4NesEUWb true

% Computer : n004.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 0.82s 0.74s
% Output   : Refutation 0.82s
% 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(unordered_pair_type,type,
    unordered_pair: $i > $i > $i ).

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

thf(sk__5_type,type,
    sk__5: $i ).

thf(sk__4_type,type,
    sk__4: $i ).

thf(sk__6_type,type,
    sk__6: $i ).

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_cl54,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_cl64,plain,
    ! [X0: $i,X1: $i] : ( in @ X0 @ ( unordered_pair @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl54]) ).

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__4 )
    = ( unordered_pair @ sk__5 @ sk__6 ) ),
    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_cl51,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ ( in @ X0 @ ( singleton @ X1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i] :
      ( ( X0 = sk__4 )
      | ~ ( in @ X0 @ ( unordered_pair @ sk__5 @ sk__6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl51]) ).

thf(zip_derived_cl64_001,plain,
    ! [X0: $i,X1: $i] : ( in @ X0 @ ( unordered_pair @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl54]) ).

thf(zip_derived_cl52_002,plain,
    ! [X0: $i] :
      ( ( X0 = sk__4 )
      | ~ ( in @ X0 @ ( unordered_pair @ sk__5 @ sk__6 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl51]) ).

thf(zip_derived_cl82,plain,
    sk__6 = sk__4,
    inference('s_sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl52]) ).

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_cl111,plain,
    ! [X0: $i] :
      ( ( X0 = sk__4 )
      | ~ ( in @ X0 @ ( unordered_pair @ sk__4 @ sk__5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl82,zip_derived_cl1]) ).

thf(zip_derived_cl137,plain,
    sk__5 = sk__4,
    inference('s_sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl111]) ).

thf(zip_derived_cl15,plain,
    sk__4 != sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl137,zip_derived_cl15]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU149+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.kj4NesEUWb true
% 0.14/0.34  % Computer : n004.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 21:49:23 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.34  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.20/0.62  % Total configuration time : 435
% 0.20/0.62  % Estimated wc time : 1092
% 0.20/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.82/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.82/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.82/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.82/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.82/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.82/0.74  % Solved by fo/fo6_bce.sh.
% 0.82/0.74  % BCE start: 16
% 0.82/0.74  % BCE eliminated: 0
% 0.82/0.74  % PE start: 16
% 0.82/0.74  logic: eq
% 0.82/0.74  % PE eliminated: 1
% 0.82/0.74  % done 53 iterations in 0.025s
% 0.82/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.82/0.74  % SZS output start Refutation
% See solution above
% 0.82/0.74  
% 0.82/0.74  
% 0.82/0.74  % Terminating...
% 1.34/0.84  % Runner terminated.
% 1.60/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------