TSTP Solution File: SWC101+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC101+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.3Qlw00mvgY true

% Computer : n017.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 21:29:10 EDT 2023

% Result   : Theorem 0.55s 0.80s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   47 (  18 unt;  13 typ;   0 def)
%            Number of atoms       :  102 (  44 equ;   0 cnn)
%            Maximal formula atoms :   20 (   3 avg)
%            Number of connectives :  208 (  40   ~;  37   |;  15   &; 100   @)
%                                         (   2 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   7 con; 0-2 aty)
%            Number of variables   :   28 (   0   ^;  21   !;   7   ?;  28   :)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(zip_derived_cl51,plain,
    ( ~ ( neq @ sk__9 @ nil )
    | ~ ( frontsegP @ sk__10 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl353,plain,
    ( ~ ( ssList @ sk__9 )
    | ( sk__9 = nil )
    | ~ ( ssList @ nil )
    | ~ ( frontsegP @ sk__10 @ sk__9 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl51]) ).

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

thf(ax17,axiom,
    ssList @ nil ).

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

thf(zip_derived_cl409,plain,
    ( ( sk__9 = nil )
    | ~ ( frontsegP @ sk__10 @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl353,zip_derived_cl49,zip_derived_cl18]) ).

thf(zip_derived_cl54,plain,
    ( ( nil = sk__12 )
    | ( nil != sk__11 ) ),
    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_cl363,plain,
    ( ( nil = sk__12 )
    | ( nil != sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl53]) ).

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

thf(zip_derived_cl366,plain,
    ( ( sk__10 = nil )
    | ( nil != sk__9 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl363,zip_derived_cl59]) ).

thf(zip_derived_cl52,plain,
    ( ( nil != sk__10 )
    | ( nil != sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl367,plain,
    nil != sk__9,
    inference(clc,[status(thm)],[zip_derived_cl366,zip_derived_cl52]) ).

thf(zip_derived_cl410,plain,
    ~ ( frontsegP @ sk__10 @ sk__9 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl409,zip_derived_cl367]) ).

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

thf(zip_derived_cl53_001,plain,
    sk__9 = sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl59_002,plain,
    sk__10 = sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl368,plain,
    ( ( app @ sk__9 @ sk__13 )
    = sk__10 ),
    inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl53,zip_derived_cl59]) ).

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_cl7,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_cl433,plain,
    ! [X0: $i] :
      ( ( sk__10 != X0 )
      | ~ ( ssList @ X0 )
      | ( frontsegP @ X0 @ sk__9 )
      | ~ ( ssList @ sk__13 )
      | ~ ( ssList @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl368,zip_derived_cl7]) ).

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

thf(zip_derived_cl49_003,plain,
    ssList @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl441,plain,
    ! [X0: $i] :
      ( ( sk__10 != X0 )
      | ~ ( ssList @ X0 )
      | ( frontsegP @ X0 @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl433,zip_derived_cl55,zip_derived_cl49]) ).

thf(zip_derived_cl445,plain,
    ( ~ ( ssList @ sk__10 )
    | ( sk__10 != sk__10 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl410,zip_derived_cl441]) ).

thf(zip_derived_cl60,plain,
    ssList @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl365,plain,
    ssList @ sk__10,
    inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl59]) ).

thf(zip_derived_cl448,plain,
    sk__10 != sk__10,
    inference(demod,[status(thm)],[zip_derived_cl445,zip_derived_cl365]) ).

thf(zip_derived_cl449,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl448]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC101+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3Qlw00mvgY true
% 0.12/0.34  % Computer : n017.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 : Mon Aug 28 16:37:28 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % Running in FO mode
% 0.53/0.63  % Total configuration time : 435
% 0.53/0.63  % Estimated wc time : 1092
% 0.53/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.80  % Solved by fo/fo3_bce.sh.
% 0.55/0.80  % BCE start: 62
% 0.55/0.80  % BCE eliminated: 2
% 0.55/0.80  % PE start: 60
% 0.55/0.80  logic: eq
% 0.55/0.80  % PE eliminated: 2
% 0.55/0.80  % done 39 iterations in 0.047s
% 0.55/0.80  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.80  % SZS output start Refutation
% See solution above
% 0.55/0.80  
% 0.55/0.80  
% 0.55/0.80  % Terminating...
% 0.55/0.86  % Runner terminated.
% 1.55/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------