↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC024+1 : TPTP v9.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jzINDXWQAK true

% Computer : n019.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 04:58:19 PM UTC 2025

% Result   : Theorem 0.58s 0.87s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   41 (  18 unt;   0 typ;   0 def)
%            Number of atoms       :  132 (  41 equ;   0 cnn)
%            Maximal formula atoms :   21 (   3 avg)
%            Number of connectives :  304 (  63   ~;  57   |;  16   &; 150   @)
%                                         (   1 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   7 con; 0-2 aty)
%            Number of variables   :   39 (   0   ^;  31   !;   8   ?;  39   :)

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

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

thf(sk__10_type,type,
    sk__10: $i ).

thf(sk__12_type,type,
    sk__12: $i ).

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

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

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

thf(equalelemsP_type,type,
    equalelemsP: $i > $o ).

thf(sk__11_type,type,
    sk__11: $i ).

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

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

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

thf(sk__13_type,type,
    sk__13: $i ).

thf(ax42,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( frontsegP @ U @ U ) ) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i] :
      ( ( frontsegP @ X0 @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax42]) ).

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

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

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

thf(zip_derived_cl51,plain,
    ! [X0: $i] :
      ( ~ ( frontsegP @ sk__9 @ X0 )
      | ~ ( frontsegP @ sk__10 @ X0 )
      | ~ ( neq @ X0 @ nil )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl383,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ( X0 = nil )
      | ~ ( ssList @ nil )
      | ~ ( ssList @ X0 )
      | ~ ( frontsegP @ sk__10 @ X0 )
      | ~ ( frontsegP @ sk__9 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl51]) ).

thf(zip_derived_cl1407,plain,
    ! [X0: $i] :
      ( ~ ( frontsegP @ sk__9 @ X0 )
      | ~ ( frontsegP @ sk__10 @ X0 )
      | ~ ( ssList @ nil )
      | ( X0 = nil )
      | ~ ( ssList @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl383]) ).

thf(ax17,axiom,
    ssList @ nil ).

thf(zip_derived_cl18,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl1408,plain,
    ! [X0: $i] :
      ( ~ ( frontsegP @ sk__9 @ X0 )
      | ~ ( frontsegP @ sk__10 @ X0 )
      | ( X0 = nil )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1407,zip_derived_cl18]) ).

thf(zip_derived_cl56,plain,
    ( ( app @ sk__11 @ sk__13 )
    = sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl53,plain,
    sk__9 = sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl59,plain,
    sk__10 = sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl405,plain,
    ( ( app @ sk__9 @ sk__13 )
    = sk__10 ),
    inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl53,zip_derived_cl59]) ).

thf(ax43,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ( ( frontsegP @ U @ V )
               => ( frontsegP @ ( app @ U @ W ) @ V ) ) ) ) ) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( frontsegP @ X1 @ X0 )
      | ( frontsegP @ ( app @ X1 @ X2 ) @ X0 )
      | ~ ( ssList @ X2 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax43]) ).

thf(zip_derived_cl777,plain,
    ! [X0: $i] :
      ( ( frontsegP @ sk__10 @ X0 )
      | ~ ( ssList @ sk__9 )
      | ~ ( ssList @ sk__13 )
      | ~ ( frontsegP @ sk__9 @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl405,zip_derived_cl32]) ).

thf(zip_derived_cl49,plain,
    ssList @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl55,plain,
    ssList @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl785,plain,
    ! [X0: $i] :
      ( ( frontsegP @ sk__10 @ X0 )
      | ~ ( frontsegP @ sk__9 @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl777,zip_derived_cl49,zip_derived_cl55]) ).

thf(zip_derived_cl1409,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ( X0 = nil )
      | ~ ( frontsegP @ sk__9 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1408,zip_derived_cl785]) ).

thf(zip_derived_cl1416,plain,
    ( ~ ( ssList @ sk__9 )
    | ( sk__9 = nil )
    | ~ ( ssList @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl1409]) ).

thf(zip_derived_cl49_001,plain,
    ssList @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl49_002,plain,
    ssList @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1422,plain,
    sk__9 = nil,
    inference(demod,[status(thm)],[zip_derived_cl1416,zip_derived_cl49,zip_derived_cl49]) ).

thf(zip_derived_cl54,plain,
    ( ( nil = sk__12 )
    | ( nil != sk__11 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl53_003,plain,
    sk__9 = sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl398,plain,
    ( ( nil = sk__12 )
    | ( nil != sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl53]) ).

thf(zip_derived_cl59_004,plain,
    sk__10 = sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl399,plain,
    ( ( sk__10 = nil )
    | ( nil != sk__9 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl398,zip_derived_cl59]) ).

thf(zip_derived_cl52,plain,
    neq @ sk__10 @ nil,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X1 @ X0 )
      | ( X1 != X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl385,plain,
    ( ~ ( ssList @ sk__10 )
    | ( sk__10 != nil )
    | ~ ( ssList @ nil ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl52,zip_derived_cl15]) ).

thf(zip_derived_cl406,plain,
    ( ( sk__10 != nil )
    | ~ ( ssList @ nil ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl385]) ).

thf(zip_derived_cl18_005,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl407,plain,
    sk__10 != nil,
    inference(demod,[status(thm)],[zip_derived_cl406,zip_derived_cl18]) ).

thf(zip_derived_cl408,plain,
    ( ( nil != nil )
    | ( nil != sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl399,zip_derived_cl407]) ).

thf(zip_derived_cl409,plain,
    nil != sk__9,
    inference(simplify,[status(thm)],[zip_derived_cl408]) ).

thf(zip_derived_cl1423,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1422,zip_derived_cl409]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWC024+1 : TPTP v9.2.0. Released v2.4.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jzINDXWQAK true
% 0.14/0.35  % Computer : n019.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 17:12:08 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.55/0.65  % Total configuration time : 435
% 0.55/0.65  % Estimated wc time : 1092
% 0.55/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.87  % Solved by fo/fo3_bce.sh.
% 0.58/0.87  % BCE start: 62
% 0.58/0.87  % BCE eliminated: 0
% 0.58/0.87  % PE start: 62
% 0.58/0.87  logic: eq
% 0.58/0.87  % PE eliminated: 2
% 0.58/0.87  % done 203 iterations in 0.113s
% 0.58/0.87  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.87  % SZS output start Refutation
% See solution above
% 0.58/0.87  
% 0.58/0.87  
% 0.58/0.87  % Terminating...
% 0.63/0.96  % Runner terminated.
% 0.63/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------