TSTP Solution File: SWC009+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC009+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.VpSB9MkMd5 true

% Computer : n022.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 21:28:27 EDT 2023

% Result   : Theorem 0.57s 0.80s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   38 (  15 unt;  12 typ;   0 def)
%            Number of atoms       :   88 (  39 equ;   0 cnn)
%            Maximal formula atoms :   23 (   3 avg)
%            Number of connectives :  210 (  36   ~;  29   |;  22   &; 112   @)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   32 (   0   ^;  18   !;  14   ?;  32   :)

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

thf(sk__19_type,type,
    sk__19: $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__16_type,type,
    sk__16: $i ).

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

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

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

thf(sk__15_type,type,
    sk__15: $i ).

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

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

thf(ax84,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( app @ U @ nil )
        = U ) ) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i] :
      ( ( ( app @ X0 @ nil )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax84]) ).

thf(zip_derived_cl63_001,plain,
    ! [X0: $i] :
      ( ( ( app @ X0 @ nil )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax84]) ).

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] :
                        ( ? [Z: $i] :
                            ( ? [X1: $i] :
                                ( ( ( app @ Y @ X1 )
                                  = U )
                                & ( ( app @ ( app @ Y @ Z ) @ X1 )
                                  = V )
                                & ( ssList @ X1 ) )
                            & ( ssList @ Z ) )
                        & ( ssList @ Y ) )
                    | ! [X2: $i] :
                        ( ( ssList @ X2 )
                       => ( ( ( app @ W @ X2 )
                           != X )
                          | ~ ( strictorderedP @ W )
                          | ? [X3: $i] :
                              ( ? [X4: $i] :
                                  ( ? [X5: $i] :
                                      ( ? [X6: $i] :
                                          ( ( lt @ X5 @ X3 )
                                          & ( ( app @ X6 @ ( cons @ X5 @ nil ) )
                                            = W )
                                          & ( ssList @ X6 ) )
                                      & ( ssItem @ X5 ) )
                                  & ( ( app @ ( cons @ X3 @ nil ) @ X4 )
                                    = X2 )
                                  & ( ssList @ X4 ) )
                              & ( 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 )
                   => ( ( V != X )
                      | ( U != W )
                      | ? [Y: $i] :
                          ( ? [Z: $i] :
                              ( ? [X1: $i] :
                                  ( ( ( app @ Y @ X1 )
                                    = U )
                                  & ( ( app @ ( app @ Y @ Z ) @ X1 )
                                    = V )
                                  & ( ssList @ X1 ) )
                              & ( ssList @ Z ) )
                          & ( ssList @ Y ) )
                      | ! [X2: $i] :
                          ( ( ssList @ X2 )
                         => ( ( ( app @ W @ X2 )
                             != X )
                            | ~ ( strictorderedP @ W )
                            | ? [X3: $i] :
                                ( ? [X4: $i] :
                                    ( ? [X5: $i] :
                                        ( ? [X6: $i] :
                                            ( ( lt @ X5 @ X3 )
                                            & ( ( app @ X6 @ ( cons @ X5 @ nil ) )
                                              = W )
                                            & ( ssList @ X6 ) )
                                        & ( ssItem @ X5 ) )
                                    & ( ( app @ ( cons @ X3 @ nil ) @ X4 )
                                      = X2 )
                                    & ( ssList @ X4 ) )
                                & ( ssItem @ X3 ) ) ) )
                      | ( ( nil != X )
                        & ( nil = W ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl77,plain,
    ( ( app @ sk__17 @ sk__19 )
    = sk__18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl74,plain,
    sk__15 = sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl80,plain,
    sk__16 = sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl563,plain,
    ( ( app @ sk__15 @ sk__19 )
    = sk__16 ),
    inference(demod,[status(thm)],[zip_derived_cl77,zip_derived_cl74,zip_derived_cl80]) ).

thf(zip_derived_cl73,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ( ( app @ X1 @ X2 )
       != sk__15 )
      | ( ( app @ ( app @ X1 @ X0 ) @ X2 )
       != sk__16 )
      | ~ ( ssList @ X2 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl725,plain,
    ! [X0: $i] :
      ( ( ( app @ sk__16 @ X0 )
       != sk__16 )
      | ~ ( ssList @ sk__15 )
      | ~ ( ssList @ X0 )
      | ( ( app @ sk__15 @ X0 )
       != sk__15 )
      | ~ ( ssList @ sk__19 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl563,zip_derived_cl73]) ).

thf(zip_derived_cl71,plain,
    ssList @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl76,plain,
    ssList @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl738,plain,
    ! [X0: $i] :
      ( ( ( app @ sk__16 @ X0 )
       != sk__16 )
      | ~ ( ssList @ X0 )
      | ( ( app @ sk__15 @ X0 )
       != sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl725,zip_derived_cl71,zip_derived_cl76]) ).

thf(zip_derived_cl740,plain,
    ( ( sk__16 != sk__16 )
    | ~ ( ssList @ sk__16 )
    | ( ( app @ sk__15 @ nil )
     != sk__15 )
    | ~ ( ssList @ nil ) ),
    inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl738]) ).

thf(zip_derived_cl81,plain,
    ssList @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl80_002,plain,
    sk__16 = sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl560,plain,
    ssList @ sk__16,
    inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl80]) ).

thf(ax17,axiom,
    ssList @ nil ).

thf(zip_derived_cl20,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl744,plain,
    ( ( sk__16 != sk__16 )
    | ( ( app @ sk__15 @ nil )
     != sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl740,zip_derived_cl560,zip_derived_cl20]) ).

thf(zip_derived_cl745,plain,
    ( ( app @ sk__15 @ nil )
   != sk__15 ),
    inference(simplify,[status(thm)],[zip_derived_cl744]) ).

thf(zip_derived_cl749,plain,
    ( ( sk__15 != sk__15 )
    | ~ ( ssList @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl745]) ).

thf(zip_derived_cl71_003,plain,
    ssList @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl753,plain,
    sk__15 != sk__15,
    inference(demod,[status(thm)],[zip_derived_cl749,zip_derived_cl71]) ).

thf(zip_derived_cl754,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl753]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWC009+1 : TPTP v8.1.2. Released v2.4.0.
% 0.14/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VpSB9MkMd5 true
% 0.14/0.35  % Computer : n022.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 : Mon Aug 28 16:24:24 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % 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
% 0.54/0.67  % Total configuration time : 435
% 0.54/0.67  % Estimated wc time : 1092
% 0.54/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.80  % Solved by fo/fo3_bce.sh.
% 0.57/0.80  % BCE start: 83
% 0.57/0.80  % BCE eliminated: 2
% 0.57/0.80  % PE start: 81
% 0.57/0.80  logic: eq
% 0.57/0.80  % PE eliminated: 2
% 0.57/0.80  % done 75 iterations in 0.059s
% 0.57/0.80  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.80  % SZS output start Refutation
% See solution above
% 0.57/0.80  
% 0.57/0.80  
% 0.57/0.80  % Terminating...
% 1.61/0.86  % Runner terminated.
% 1.61/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------