TSTP Solution File: SWC100+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC100+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CjmFET8g5f true

% Computer : n020.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 21:29:09 EDT 2023

% Result   : Theorem 0.56s 0.85s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   64 (  25 unt;  14 typ;   0 def)
%            Number of atoms       :  148 (  68 equ;   0 cnn)
%            Maximal formula atoms :   23 (   2 avg)
%            Number of connectives :  293 (  61   ~;  59   |;  20   &; 134   @)
%                                         (   3 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   7 con; 0-2 aty)
%            Number of variables   :   36 (   0   ^;  27   !;   9   ?;  36   :)

% Comments : 
%------------------------------------------------------------------------------
thf(frontsegP_type,type,
    frontsegP: $i > $i > $o ).

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

thf(sk__50_type,type,
    sk__50: $i ).

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

thf(lt_type,type,
    lt: $i > $i > $o ).

thf(app_type,type,
    app: $i > $i > $i ).

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

thf(sk__51_type,type,
    sk__51: $i ).

thf(sk__49_type,type,
    sk__49: $i ).

thf(sk__47_type,type,
    sk__47: $i ).

thf(sk__48_type,type,
    sk__48: $i ).

thf(neq_type,type,
    neq: $i > $i > $o ).

thf(strictorderedP_type,type,
    strictorderedP: $i > $o ).

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

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] :
                        ( ( ssList @ Y )
                       => ( ( ( app @ W @ Y )
                           != X )
                          | ~ ( strictorderedP @ W )
                          | ? [Z: $i] :
                              ( ? [X1: $i] :
                                  ( ? [X2: $i] :
                                      ( ? [X3: $i] :
                                          ( ( lt @ X2 @ Z )
                                          & ( ( app @ X3 @ ( cons @ X2 @ nil ) )
                                            = W )
                                          & ( ssList @ X3 ) )
                                      & ( ssItem @ X2 ) )
                                  & ( ( app @ ( cons @ Z @ nil ) @ X1 )
                                    = Y )
                                  & ( ssList @ X1 ) )
                              & ( ssItem @ Z ) ) ) )
                    | ( ( nil != X )
                      & ( nil = W ) )
                    | ( ( ( nil != V )
                        | ( nil = U ) )
                      & ( ~ ( neq @ V @ nil )
                        | ( ( neq @ U @ nil )
                          & ( frontsegP @ V @ U ) ) ) ) ) ) ) ) ) ).

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] :
                          ( ( ssList @ Y )
                         => ( ( ( app @ W @ Y )
                             != X )
                            | ~ ( strictorderedP @ W )
                            | ? [Z: $i] :
                                ( ? [X1: $i] :
                                    ( ? [X2: $i] :
                                        ( ? [X3: $i] :
                                            ( ( lt @ X2 @ Z )
                                            & ( ( app @ X3 @ ( cons @ X2 @ nil ) )
                                              = W )
                                            & ( ssList @ X3 ) )
                                        & ( ssItem @ X2 ) )
                                    & ( ( app @ ( cons @ Z @ nil ) @ X1 )
                                      = Y )
                                    & ( ssList @ X1 ) )
                                & ( ssItem @ Z ) ) ) )
                      | ( ( nil != X )
                        & ( nil = W ) )
                      | ( ( ( nil != V )
                          | ( nil = U ) )
                        & ( ~ ( neq @ V @ nil )
                          | ( ( neq @ U @ nil )
                            & ( frontsegP @ V @ U ) ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl202,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl197,plain,
    ( ( nil = sk__50 )
    | ( nil != sk__49 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl196,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1591,plain,
    ( ( nil = sk__50 )
    | ( nil != sk__47 ) ),
    inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl196]) ).

thf(zip_derived_cl199,plain,
    ( ( app @ sk__49 @ sk__51 )
    = sk__50 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl196_001,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl202_002,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1595,plain,
    ( ( app @ sk__47 @ sk__51 )
    = sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl199,zip_derived_cl196,zip_derived_cl202]) ).

thf(ax5,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( frontsegP @ U @ V )
          <=> ? [W: $i] :
                ( ( ( app @ V @ W )
                  = U )
                & ( ssList @ W ) ) ) ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ( ( app @ X0 @ X2 )
       != X1 )
      | ~ ( ssList @ X2 )
      | ( frontsegP @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl1621,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__47 )
      | ( sk__48 != X0 )
      | ~ ( ssList @ sk__51 )
      | ( frontsegP @ X0 @ sk__47 )
      | ~ ( ssList @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1595,zip_derived_cl14]) ).

thf(zip_derived_cl190,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl198,plain,
    ssList @ sk__51,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1628,plain,
    ! [X0: $i] :
      ( ( sk__48 != X0 )
      | ( frontsegP @ X0 @ sk__47 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1621,zip_derived_cl190,zip_derived_cl198]) ).

thf(ax15,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( neq @ U @ V )
          <=> ( U != V ) ) ) ) ).

thf(zip_derived_cl81,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl193,plain,
    ( ( nil = sk__48 )
    | ~ ( neq @ sk__47 @ nil )
    | ~ ( frontsegP @ sk__48 @ sk__47 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1526,plain,
    ( ~ ( ssList @ sk__47 )
    | ( sk__47 = nil )
    | ~ ( ssList @ nil )
    | ~ ( frontsegP @ sk__48 @ sk__47 )
    | ( nil = sk__48 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl81,zip_derived_cl193]) ).

thf(zip_derived_cl190_003,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax17,axiom,
    ssList @ nil ).

thf(zip_derived_cl83,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl1728,plain,
    ( ( sk__47 = nil )
    | ~ ( frontsegP @ sk__48 @ sk__47 )
    | ( nil = sk__48 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1526,zip_derived_cl190,zip_derived_cl83]) ).

thf(zip_derived_cl1595_004,plain,
    ( ( app @ sk__47 @ sk__51 )
    = sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl199,zip_derived_cl196,zip_derived_cl202]) ).

thf(ax83,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( nil
              = ( app @ U @ V ) )
          <=> ( ( nil = V )
              & ( nil = U ) ) ) ) ) ).

thf(zip_derived_cl174,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( nil
       != ( app @ X1 @ X0 ) )
      | ( nil = X1 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax83]) ).

thf(zip_derived_cl1663,plain,
    ( ~ ( ssList @ sk__51 )
    | ( nil != sk__48 )
    | ( nil = sk__47 )
    | ~ ( ssList @ sk__47 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1595,zip_derived_cl174]) ).

thf(zip_derived_cl198_005,plain,
    ssList @ sk__51,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl190_006,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1670,plain,
    ( ( nil != sk__48 )
    | ( nil = sk__47 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1663,zip_derived_cl198,zip_derived_cl190]) ).

thf(zip_derived_cl194,plain,
    ( ( nil != sk__47 )
    | ( neq @ sk__48 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl80,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X1 @ X0 )
      | ( X1 != X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl1537,plain,
    ( ( nil != sk__47 )
    | ~ ( ssList @ sk__48 )
    | ( sk__48 != nil )
    | ~ ( ssList @ nil ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl194,zip_derived_cl80]) ).

thf(zip_derived_cl203,plain,
    ssList @ sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl202_007,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1594,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl203,zip_derived_cl202]) ).

thf(zip_derived_cl83_008,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl1597,plain,
    ( ( nil != sk__47 )
    | ( sk__48 != nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl1537,zip_derived_cl1594,zip_derived_cl83]) ).

thf(zip_derived_cl1686,plain,
    nil != sk__48,
    inference(clc,[status(thm)],[zip_derived_cl1670,zip_derived_cl1597]) ).

thf(zip_derived_cl1729,plain,
    ( ( sk__47 = nil )
    | ~ ( frontsegP @ sk__48 @ sk__47 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1728,zip_derived_cl1686]) ).

thf(zip_derived_cl1756,plain,
    ( ~ ( ssList @ sk__48 )
    | ( sk__48 != sk__48 )
    | ( sk__47 = nil ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1628,zip_derived_cl1729]) ).

thf(zip_derived_cl1594_009,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl203,zip_derived_cl202]) ).

thf(zip_derived_cl1758,plain,
    ( ( sk__48 != sk__48 )
    | ( sk__47 = nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl1756,zip_derived_cl1594]) ).

thf(zip_derived_cl1759,plain,
    sk__47 = nil,
    inference(simplify,[status(thm)],[zip_derived_cl1758]) ).

thf(zip_derived_cl1762,plain,
    ( ( nil = sk__50 )
    | ( nil != nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl1591,zip_derived_cl1759]) ).

thf(zip_derived_cl1763,plain,
    nil = sk__50,
    inference(simplify,[status(thm)],[zip_derived_cl1762]) ).

thf(zip_derived_cl1773,plain,
    sk__48 = nil,
    inference(demod,[status(thm)],[zip_derived_cl202,zip_derived_cl1763]) ).

thf(zip_derived_cl1686_010,plain,
    nil != sk__48,
    inference(clc,[status(thm)],[zip_derived_cl1670,zip_derived_cl1597]) ).

thf(zip_derived_cl1774,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1773,zip_derived_cl1686]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWC100+1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CjmFET8g5f true
% 0.14/0.36  % Computer : n020.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Mon Aug 28 17:43:44 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.37  % Running in FO mode
% 0.45/0.65  % Total configuration time : 435
% 0.45/0.65  % Estimated wc time : 1092
% 0.45/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.85  % Solved by fo/fo6_bce.sh.
% 0.56/0.85  % BCE start: 205
% 0.56/0.85  % BCE eliminated: 2
% 0.56/0.85  % PE start: 203
% 0.56/0.85  logic: eq
% 0.56/0.85  % PE eliminated: 6
% 0.56/0.85  % done 94 iterations in 0.114s
% 0.56/0.85  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.85  % SZS output start Refutation
% See solution above
% 0.56/0.85  
% 0.56/0.85  
% 0.56/0.85  % Terminating...
% 0.62/0.96  % Runner terminated.
% 0.62/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------