TSTP Solution File: SET891+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET891+1 : 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.LMx6FYD4vi 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 16:16:42 EDT 2023

% Result   : Theorem 0.22s 0.72s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   16 (  10 unt;   6 typ;   0 def)
%            Number of atoms       :   10 (   9 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   57 (   4   ~;   0   |;   0   &;  53   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (   0   ^;  12   !;   0   ?;  12   :)

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

thf(set_union2_type,type,
    set_union2: $i > $i > $i ).

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

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

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

thf(union_type,type,
    union: $i > $i ).

thf(t32_zfmisc_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( union @ ( unordered_pair @ ( singleton @ A ) @ ( singleton @ B ) ) )
      = ( unordered_pair @ A @ B ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( union @ ( unordered_pair @ ( singleton @ A ) @ ( singleton @ B ) ) )
        = ( unordered_pair @ A @ B ) ),
    inference('cnf.neg',[status(esa)],[t32_zfmisc_1]) ).

thf(zip_derived_cl8,plain,
    ( ( union @ ( unordered_pair @ ( singleton @ sk__2 ) @ ( singleton @ sk__3 ) ) )
   != ( unordered_pair @ sk__2 @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(l52_zfmisc_1,axiom,
    ! [A: $i,B: $i] :
      ( ( union @ ( unordered_pair @ A @ B ) )
      = ( set_union2 @ A @ B ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( union @ ( unordered_pair @ X0 @ X1 ) )
      = ( set_union2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[l52_zfmisc_1]) ).

thf(zip_derived_cl24,plain,
    ( ( set_union2 @ ( singleton @ sk__2 ) @ ( singleton @ sk__3 ) )
   != ( unordered_pair @ sk__2 @ sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl5]) ).

thf(t41_enumset1,axiom,
    ! [A: $i,B: $i] :
      ( ( unordered_pair @ A @ B )
      = ( set_union2 @ ( singleton @ A ) @ ( singleton @ B ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ( unordered_pair @ X0 @ X1 )
      = ( set_union2 @ ( singleton @ X0 ) @ ( singleton @ X1 ) ) ),
    inference(cnf,[status(esa)],[t41_enumset1]) ).

thf(zip_derived_cl36,plain,
    ( ( unordered_pair @ sk__2 @ sk__3 )
   != ( unordered_pair @ sk__2 @ sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl9]) ).

thf(zip_derived_cl37,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl36]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SET891+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.LMx6FYD4vi true
% 0.15/0.35  % Computer : n008.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Sat Aug 26 12:58:22 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.35  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.22/0.67  % Total configuration time : 435
% 0.22/0.67  % Estimated wc time : 1092
% 0.22/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.72  % Solved by fo/fo6_bce.sh.
% 0.22/0.72  % BCE start: 10
% 0.22/0.72  % BCE eliminated: 0
% 0.22/0.72  % PE start: 10
% 0.22/0.72  logic: eq
% 0.22/0.72  % PE eliminated: 0
% 0.22/0.72  % done 12 iterations in 0.009s
% 0.22/0.72  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.72  % SZS output start Refutation
% See solution above
% 0.22/0.72  
% 0.22/0.72  
% 0.22/0.72  % Terminating...
% 0.22/0.75  % Runner terminated.
% 0.22/0.76  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------