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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC257+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.yx9IB4WvLl true

% Computer : n024.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 04:59:09 PM UTC 2025

% Result   : Theorem 0.56s 0.83s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   19 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   58 (  24 equ;   0 cnn)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  114 (  24   ~;  24   |;   8   &;  51   @)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :   14 (   0   ^;  12   !;   2   ?;  14   :)

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

thf(totalorderedP_type,type,
    totalorderedP: $i > $o ).

thf(nil_type,type,
    nil: $i ).

thf(sk__17_type,type,
    sk__17: $i ).

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

thf(sk__19_type,type,
    sk__19: $i ).

thf(leq_type,type,
    leq: $i > $i > $o ).

thf(cons_type,type,
    cons: $i > $i > $i ).

thf(sk__21_type,type,
    sk__21: $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] :
                  ( ( ( ( nil != W )
                      | ( nil != X ) )
                    & ! [Y: $i] :
                        ( ? [Z: $i] :
                            ( ( leq @ Y @ Z )
                            & ( memberP @ X @ Z )
                            & ( Y != Z )
                            & ( ssItem @ Z ) )
                        | ~ ( memberP @ X @ Y )
                        | ( ( cons @ Y @ nil )
                         != W )
                        | ~ ( ssItem @ Y ) ) )
                  | ( totalorderedP @ U )
                  | ( U != W )
                  | ( V != X )
                  | ~ ( ssList @ X ) ) ) ) ) ).

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

thf(zip_derived_cl87,plain,
    ~ ( totalorderedP @ sk__17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl91,plain,
    ( ( nil = sk__19 )
    | ( ( cons @ sk__21 @ nil )
      = sk__19 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl88,plain,
    sk__17 = sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl88_001,plain,
    sk__17 = sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl704,plain,
    ( ( nil = sk__17 )
    | ( ( cons @ sk__21 @ nil )
      = sk__17 ) ),
    inference(demod,[status(thm)],[zip_derived_cl91,zip_derived_cl88,zip_derived_cl88]) ).

thf(ax65,axiom,
    ! [U: $i] :
      ( ( ssItem @ U )
     => ( totalorderedP @ ( cons @ U @ nil ) ) ) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i] :
      ( ( totalorderedP @ ( cons @ X0 @ nil ) )
      | ~ ( ssItem @ X0 ) ),
    inference(cnf,[status(esa)],[ax65]) ).

thf(zip_derived_cl720,plain,
    ( ( totalorderedP @ sk__17 )
    | ( nil = sk__17 )
    | ~ ( ssItem @ sk__21 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl704,zip_derived_cl51]) ).

thf(zip_derived_cl87_002,plain,
    ~ ( totalorderedP @ sk__17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl730,plain,
    ( ~ ( ssItem @ sk__21 )
    | ( nil = sk__17 ) ),
    inference(clc,[status(thm)],[zip_derived_cl720,zip_derived_cl87]) ).

thf(zip_derived_cl92,plain,
    ( ( nil = sk__19 )
    | ( ssItem @ sk__21 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl88_003,plain,
    sk__17 = sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl702,plain,
    ( ( nil = sk__17 )
    | ( ssItem @ sk__21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl88]) ).

thf(zip_derived_cl731,plain,
    nil = sk__17,
    inference(clc,[status(thm)],[zip_derived_cl730,zip_derived_cl702]) ).

thf(ax66,axiom,
    totalorderedP @ nil ).

thf(zip_derived_cl52,plain,
    totalorderedP @ nil,
    inference(cnf,[status(esa)],[ax66]) ).

thf(zip_derived_cl733,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl87,zip_derived_cl731,zip_derived_cl52]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWC257+1 : TPTP v9.2.0. Released v2.4.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yx9IB4WvLl true
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Oct  1 17:06:23 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.55/0.67  % Total configuration time : 435
% 0.55/0.67  % Estimated wc time : 1092
% 0.55/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.79  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.80  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.80  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.83  % Solved by fo/fo3_bce.sh.
% 0.56/0.83  % BCE start: 100
% 0.56/0.83  % BCE eliminated: 2
% 0.56/0.83  % PE start: 98
% 0.56/0.83  logic: eq
% 0.56/0.83  % PE eliminated: 0
% 0.56/0.83  % done 36 iterations in 0.062s
% 0.56/0.83  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.83  % SZS output start Refutation
% See solution above
% 0.56/0.83  
% 0.56/0.83  
% 0.56/0.83  % Terminating...
% 1.65/0.90  % Runner terminated.
% 1.65/0.92  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------