TSTP Solution File: SWC039+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC039+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hglTypModn true

% Computer : n005.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 21:28:42 EDT 2023

% Result   : Theorem 1.42s 0.87s
% Output   : Refutation 1.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   52 (  20 unt;  13 typ;   0 def)
%            Number of atoms       :  111 (  55 equ;   0 cnn)
%            Maximal formula atoms :   21 (   2 avg)
%            Number of connectives :  224 (  39   ~;  42   |;  11   &; 113   @)
%                                         (   1 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   8 con; 0-2 aty)
%            Number of variables   :   28 (   0   ^;  24   !;   4   ?;  28   :)

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

thf(sk__18_type,type,
    sk__18: $i ).

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

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

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

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

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

thf(sk__23_type,type,
    sk__23: $i ).

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

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

thf(sk__20_type,type,
    sk__20: $i ).

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

thf(sk__22_type,type,
    sk__22: $i ).

thf(ax26,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ssList @ ( app @ U @ V ) ) ) ) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( ssList @ ( app @ X1 @ X0 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax26]) ).

thf(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ( ssList @ X )
                 => ( ( nil != V )
                    | ( V != X )
                    | ( U != W )
                    | ( nil = U )
                    | ( ! [Y: $i] :
                          ( ( ssItem @ Y )
                         => ! [Z: $i] :
                              ( ( ssList @ Z )
                             => ! [X1: $i] :
                                  ( ( ssList @ X1 )
                                 => ( ( ( cons @ Y @ nil )
                                     != W )
                                    | ( ( app @ ( app @ Z @ W ) @ X1 )
                                     != X )
                                    | ? [X2: $i] :
                                        ( ( lt @ Y @ X2 )
                                        & ( memberP @ Z @ X2 )
                                        & ( ssItem @ X2 ) )
                                    | ? [X3: $i] :
                                        ( ( lt @ X3 @ Y )
                                        & ( memberP @ X1 @ X3 )
                                        & ( ssItem @ X3 ) ) ) ) ) )
                      & ( ( nil != X )
                        | ( nil != W ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i] :
        ( ( ssList @ U )
       => ! [V: $i] :
            ( ( ssList @ V )
           => ! [W: $i] :
                ( ( ssList @ W )
               => ! [X: $i] :
                    ( ( ssList @ X )
                   => ( ( nil != V )
                      | ( V != X )
                      | ( U != W )
                      | ( nil = U )
                      | ( ! [Y: $i] :
                            ( ( ssItem @ Y )
                           => ! [Z: $i] :
                                ( ( ssList @ Z )
                               => ! [X1: $i] :
                                    ( ( ssList @ X1 )
                                   => ( ( ( cons @ Y @ nil )
                                       != W )
                                      | ( ( app @ ( app @ Z @ W ) @ X1 )
                                       != X )
                                      | ? [X2: $i] :
                                          ( ( lt @ Y @ X2 )
                                          & ( memberP @ Z @ X2 )
                                          & ( ssItem @ X2 ) )
                                      | ? [X3: $i] :
                                          ( ( lt @ X3 @ Y )
                                          & ( memberP @ X1 @ X3 )
                                          & ( ssItem @ X3 ) ) ) ) ) )
                        & ( ( nil != X )
                          | ( nil != W ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl96,plain,
    ( ( ( app @ ( app @ sk__22 @ sk__19 ) @ sk__23 )
      = sk__20 )
    | ( nil = sk__19 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl85,plain,
    sk__17 = sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl101,plain,
    sk__18 = sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl86,plain,
    nil = sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl695,plain,
    nil = sk__20,
    inference(demod,[status(thm)],[zip_derived_cl101,zip_derived_cl86]) ).

thf(zip_derived_cl85_001,plain,
    sk__17 = sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl787,plain,
    ( ( ( app @ ( app @ sk__22 @ sk__17 ) @ sk__23 )
      = nil )
    | ( nil = sk__17 ) ),
    inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl85,zip_derived_cl695,zip_derived_cl85]) ).

thf(zip_derived_cl84,plain,
    nil != sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl788,plain,
    ( ( app @ ( app @ sk__22 @ sk__17 ) @ sk__23 )
    = nil ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl787,zip_derived_cl84]) ).

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

thf(zip_derived_cl72,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( nil
       != ( app @ X1 @ X0 ) )
      | ( nil = X1 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax83]) ).

thf(zip_derived_cl791,plain,
    ( ( nil != nil )
    | ~ ( ssList @ ( app @ sk__22 @ sk__17 ) )
    | ( nil
      = ( app @ sk__22 @ sk__17 ) )
    | ~ ( ssList @ sk__23 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl788,zip_derived_cl72]) ).

thf(zip_derived_cl98,plain,
    ( ( ssList @ sk__23 )
    | ( nil = sk__19 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl85_002,plain,
    sk__17 = sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl705,plain,
    ( ( ssList @ sk__23 )
    | ( nil = sk__17 ) ),
    inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl85]) ).

thf(zip_derived_cl84_003,plain,
    nil != sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl706,plain,
    ssList @ sk__23,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl705,zip_derived_cl84]) ).

thf(zip_derived_cl797,plain,
    ( ( nil != nil )
    | ~ ( ssList @ ( app @ sk__22 @ sk__17 ) )
    | ( nil
      = ( app @ sk__22 @ sk__17 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl791,zip_derived_cl706]) ).

thf(zip_derived_cl798,plain,
    ( ( nil
      = ( app @ sk__22 @ sk__17 ) )
    | ~ ( ssList @ ( app @ sk__22 @ sk__17 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl797]) ).

thf(zip_derived_cl827,plain,
    ( ~ ( ssList @ sk__22 )
    | ~ ( ssList @ sk__17 )
    | ( nil
      = ( app @ sk__22 @ sk__17 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl798]) ).

thf(zip_derived_cl88,plain,
    ( ( ssList @ sk__22 )
    | ( nil = sk__19 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl85_004,plain,
    sk__17 = sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl701,plain,
    ( ( ssList @ sk__22 )
    | ( nil = sk__17 ) ),
    inference(demod,[status(thm)],[zip_derived_cl88,zip_derived_cl85]) ).

thf(zip_derived_cl84_005,plain,
    nil != sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl702,plain,
    ssList @ sk__22,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl701,zip_derived_cl84]) ).

thf(zip_derived_cl82,plain,
    ssList @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl829,plain,
    ( nil
    = ( app @ sk__22 @ sk__17 ) ),
    inference(demod,[status(thm)],[zip_derived_cl827,zip_derived_cl702,zip_derived_cl82]) ).

thf(zip_derived_cl71,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( nil
       != ( app @ X1 @ X0 ) )
      | ( nil = X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax83]) ).

thf(zip_derived_cl835,plain,
    ( ( nil != nil )
    | ~ ( ssList @ sk__22 )
    | ( nil = sk__17 )
    | ~ ( ssList @ sk__17 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl829,zip_derived_cl71]) ).

thf(zip_derived_cl702_006,plain,
    ssList @ sk__22,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl701,zip_derived_cl84]) ).

thf(zip_derived_cl82_007,plain,
    ssList @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl838,plain,
    ( ( nil != nil )
    | ( nil = sk__17 ) ),
    inference(demod,[status(thm)],[zip_derived_cl835,zip_derived_cl702,zip_derived_cl82]) ).

thf(zip_derived_cl839,plain,
    nil = sk__17,
    inference(simplify,[status(thm)],[zip_derived_cl838]) ).

thf(zip_derived_cl84_008,plain,
    nil != sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl840,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl839,zip_derived_cl84]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWC039+1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hglTypModn true
% 0.13/0.35  % Computer : n005.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Aug 28 17:52:23 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % 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
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.15/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.15/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.42/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.42/0.87  % Solved by fo/fo3_bce.sh.
% 1.42/0.87  % BCE start: 104
% 1.42/0.87  % BCE eliminated: 2
% 1.42/0.87  % PE start: 102
% 1.42/0.87  logic: eq
% 1.42/0.87  % PE eliminated: 2
% 1.42/0.87  % done 72 iterations in 0.086s
% 1.42/0.87  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.42/0.87  % SZS output start Refutation
% See solution above
% 1.42/0.87  
% 1.42/0.87  
% 1.42/0.87  % Terminating...
% 1.57/0.96  % Runner terminated.
% 1.57/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------