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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC411+1 : TPTP v9.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TjRAX0WwmH true

% Computer : n012.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 04:59:42 PM UTC 2025

% Result   : Theorem 1.32s 0.75s
% Output   : Refutation 1.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   12 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   37 (   6 equ;   0 cnn)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :   85 (  15   ~;  11   |;   4   &;  45   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   13 (   0   ^;  11   !;   2   ?;  13   :)

% Comments : 
%------------------------------------------------------------------------------
thf(ssItem_type,type,
    ssItem: $i > $o ).

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

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

thf(ssList_type,type,
    ssList: $i > $o ).

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

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

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

thf(memberP_type,type,
    memberP: $i > $i > $o ).

thf(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ( ssList @ X )
                 => ( ( V != X )
                    | ( U != W )
                    | ? [Y: $i] :
                        ( ( memberP @ X @ Y )
                        & ~ ( memberP @ W @ Y )
                        & ( ssItem @ Y ) )
                    | ! [Z: $i] :
                        ( ( ssItem @ Z )
                       => ( ~ ( memberP @ V @ Z )
                          | ( memberP @ U @ Z ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i] :
        ( ( ssList @ U )
       => ! [V: $i] :
            ( ( ssList @ V )
           => ! [W: $i] :
                ( ( ssList @ W )
               => ! [X: $i] :
                    ( ( ssList @ X )
                   => ( ( V != X )
                      | ( U != W )
                      | ? [Y: $i] :
                          ( ( memberP @ X @ Y )
                          & ~ ( memberP @ W @ Y )
                          & ( ssItem @ Y ) )
                      | ! [Z: $i] :
                          ( ( ssItem @ Z )
                         => ( ~ ( memberP @ V @ Z )
                            | ( memberP @ U @ Z ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i] :
      ( ~ ( memberP @ sk__7 @ X0 )
      | ( memberP @ sk__6 @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl16,plain,
    ~ ( memberP @ sk__4 @ sk__8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl19,plain,
    sk__4 = sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl24,plain,
    ~ ( memberP @ sk__6 @ sk__8 ),
    inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl19]) ).

thf(zip_derived_cl28,plain,
    ( ~ ( ssItem @ sk__8 )
    | ~ ( memberP @ sk__7 @ sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl24]) ).

thf(zip_derived_cl18,plain,
    ssItem @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17,plain,
    memberP @ sk__5 @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl21,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl27,plain,
    memberP @ sk__7 @ sk__8,
    inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl21]) ).

thf(zip_derived_cl29,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl18,zip_derived_cl27]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SWC411+1 : TPTP v9.2.0. Released v2.4.0.
% 0.00/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TjRAX0WwmH true
% 0.12/0.34  % Computer : n012.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Oct  1 17:07:38 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.19/0.58  % Total configuration time : 435
% 0.19/0.58  % Estimated wc time : 1092
% 0.19/0.58  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.66  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.13/0.69  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.13/0.70  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.13/0.70  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.13/0.70  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.13/0.70  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.13/0.71  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.32/0.75  % Solved by fo/fo4.sh.
% 1.32/0.75  % done 15 iterations in 0.018s
% 1.32/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.32/0.75  % SZS output start Refutation
% See solution above
% 1.32/0.75  
% 1.32/0.75  
% 1.32/0.75  % Terminating...
% 1.32/0.80  % Runner terminated.
% 1.32/0.82  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------