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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET072+1 : TPTP v9.2.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6gsID4EpXE true

% Computer : n006.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 Oct  2 04:51:26 PM UTC 2025

% Result   : Theorem 0.55s 0.77s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   30 (  15 unt;   0 typ;   0 def)
%            Number of atoms       :   55 (  30 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  139 (  15   ~;  17   |;   5   &;  99   @)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   32 (   0   ^;  32   !;   0   ?;  32   :)

% Comments : 
%------------------------------------------------------------------------------
thf(member_type,type,
    member: $i > $i > $o ).

thf(sk__7_type,type,
    sk__7: $i ).

thf(sk__9_type,type,
    sk__9: $i ).

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

thf(sk__8_type,type,
    sk__8: $i ).

thf(universal_class_type,type,
    universal_class: $i ).

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

thf(unordered_pair_defn,axiom,
    ! [U: $i,X: $i,Y: $i] :
      ( ( member @ U @ ( unordered_pair @ X @ Y ) )
    <=> ( ( member @ U @ universal_class )
        & ( ( U = X )
          | ( U = Y ) ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( member @ X0 @ ( unordered_pair @ X1 @ X2 ) )
      | ( X0 != X1 )
      | ~ ( member @ X0 @ universal_class ) ),
    inference(cnf,[status(esa)],[unordered_pair_defn]) ).

thf(zip_derived_cl473,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( member @ X0 @ universal_class )
      | ( member @ X0 @ ( unordered_pair @ X0 @ X1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl10]) ).

thf(right_cancellation,conjecture,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( member @ X @ universal_class )
        & ( member @ Y @ universal_class )
        & ( ( unordered_pair @ X @ Z )
          = ( unordered_pair @ Y @ Z ) ) )
     => ( X = Y ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i,Y: $i,Z: $i] :
        ( ( ( member @ X @ universal_class )
          & ( member @ Y @ universal_class )
          & ( ( unordered_pair @ X @ Z )
            = ( unordered_pair @ Y @ Z ) ) )
       => ( X = Y ) ),
    inference('cnf.neg',[status(esa)],[right_cancellation]) ).

thf(zip_derived_cl89,plain,
    ( ( unordered_pair @ sk__7 @ sk__9 )
    = ( unordered_pair @ sk__8 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl89_001,plain,
    ( ( unordered_pair @ sk__7 @ sk__9 )
    = ( unordered_pair @ sk__8 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl473_002,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( member @ X0 @ universal_class )
      | ( member @ X0 @ ( unordered_pair @ X0 @ X1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl543,plain,
    ( ~ ( member @ sk__8 @ universal_class )
    | ( member @ sk__8 @ ( unordered_pair @ sk__7 @ sk__9 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl473]) ).

thf(zip_derived_cl91,plain,
    member @ sk__8 @ universal_class,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl545,plain,
    member @ sk__8 @ ( unordered_pair @ sk__7 @ sk__9 ),
    inference(demod,[status(thm)],[zip_derived_cl543,zip_derived_cl91]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X0 )
      | ( X1 = X2 )
      | ~ ( member @ X1 @ ( unordered_pair @ X2 @ X0 ) ) ),
    inference(cnf,[status(esa)],[unordered_pair_defn]) ).

thf(zip_derived_cl553,plain,
    ( ( sk__8 = sk__9 )
    | ( sk__8 = sk__7 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl545,zip_derived_cl8]) ).

thf(zip_derived_cl92,plain,
    sk__7 != sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl554,plain,
    sk__8 = sk__9,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl553,zip_derived_cl92]) ).

thf(zip_derived_cl554_003,plain,
    sk__8 = sk__9,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl553,zip_derived_cl92]) ).

thf(zip_derived_cl555,plain,
    ( ( unordered_pair @ sk__7 @ sk__8 )
    = ( unordered_pair @ sk__8 @ sk__8 ) ),
    inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl554,zip_derived_cl554]) ).

thf(singleton_set_defn,axiom,
    ! [X: $i] :
      ( ( singleton @ X )
      = ( unordered_pair @ X @ X ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i] :
      ( ( singleton @ X0 )
      = ( unordered_pair @ X0 @ X0 ) ),
    inference(cnf,[status(esa)],[singleton_set_defn]) ).

thf(zip_derived_cl12_004,plain,
    ! [X0: $i] :
      ( ( singleton @ X0 )
      = ( unordered_pair @ X0 @ X0 ) ),
    inference(cnf,[status(esa)],[singleton_set_defn]) ).

thf(zip_derived_cl8_005,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X0 )
      | ( X1 = X2 )
      | ~ ( member @ X1 @ ( unordered_pair @ X2 @ X0 ) ) ),
    inference(cnf,[status(esa)],[unordered_pair_defn]) ).

thf(zip_derived_cl457,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ( X1 = X0 )
      | ~ ( member @ X1 @ ( singleton @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl8]) ).

thf(zip_derived_cl459,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( member @ X1 @ ( singleton @ X0 ) )
      | ( X1 = X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl457]) ).

thf(zip_derived_cl461,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( member @ X1 @ ( unordered_pair @ X0 @ X0 ) )
      | ( X1 = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl459]) ).

thf(zip_derived_cl560,plain,
    ! [X0: $i] :
      ( ~ ( member @ X0 @ ( unordered_pair @ sk__7 @ sk__8 ) )
      | ( X0 = sk__8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl555,zip_derived_cl461]) ).

thf(zip_derived_cl575,plain,
    ( ~ ( member @ sk__7 @ universal_class )
    | ( sk__7 = sk__8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl473,zip_derived_cl560]) ).

thf(zip_derived_cl90,plain,
    member @ sk__7 @ universal_class,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl578,plain,
    sk__7 = sk__8,
    inference(demod,[status(thm)],[zip_derived_cl575,zip_derived_cl90]) ).

thf(zip_derived_cl92_006,plain,
    sk__7 != sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl579,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl578,zip_derived_cl92]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET072+1 : TPTP v9.2.0. Bugfixed v5.4.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6gsID4EpXE true
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Oct  1 12:53:53 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.54/0.66  % Total configuration time : 435
% 0.54/0.66  % Estimated wc time : 1092
% 0.54/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.77  % Solved by fo/fo6_bce.sh.
% 0.55/0.77  % BCE start: 93
% 0.55/0.77  % BCE eliminated: 0
% 0.55/0.77  % PE start: 93
% 0.55/0.77  logic: eq
% 0.55/0.77  % PE eliminated: 5
% 0.55/0.77  % done 95 iterations in 0.049s
% 0.55/0.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.77  % SZS output start Refutation
% See solution above
% 0.55/0.77  
% 0.55/0.77  
% 0.55/0.77  % Terminating...
% 1.49/0.85  % Runner terminated.
% 1.49/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------