TSTP Solution File: SWC387+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC387+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.DaUx7FE8fg 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 21:31:13 EDT 2023

% Result   : Theorem 0.58s 0.78s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   59 (  27 unt;  11 typ;   0 def)
%            Number of atoms       :  115 (  55 equ;   0 cnn)
%            Maximal formula atoms :   17 (   2 avg)
%            Number of connectives :  207 (  44   ~;  44   |;  10   &;  96   @)
%                                         (   1 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   21 (   0   ^;  19   !;   2   ?;  21   :)

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

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

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

thf(sk__6_type,type,
    sk__6: $i ).

thf(sk__7_type,type,
    sk__7: $i ).

thf(sk__8_type,type,
    sk__8: $i ).

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

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

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

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

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

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

thf(zip_derived_cl10,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] :
                        ( ( memberP @ V @ Y )
                        & ( ( cons @ Y @ nil )
                          = U )
                        & ( ssItem @ Y ) )
                    | ( ( nil != W )
                      & ( nil = X ) )
                    | ( ( nil = V )
                      & ( nil = U ) )
                    | ( ! [Z: $i] :
                          ( ( ssItem @ Z )
                         => ( ( ( cons @ Z @ nil )
                             != W )
                            | ~ ( memberP @ X @ Z ) ) )
                      & ( neq @ X @ nil ) ) ) ) ) ) ) ).

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

thf(zip_derived_cl43,plain,
    ( ( memberP @ sk__9 @ sk__10 )
    | ~ ( neq @ sk__9 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl287,plain,
    ( ~ ( ssList @ sk__9 )
    | ( sk__9 = nil )
    | ~ ( ssList @ nil )
    | ( memberP @ sk__9 @ sk__10 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl43]) ).

thf(zip_derived_cl47,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl48,plain,
    ssList @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl47_001,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl292,plain,
    ssList @ sk__7,
    inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl47]) ).

thf(zip_derived_cl47_002,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax17,axiom,
    ssList @ nil ).

thf(zip_derived_cl12,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl47_003,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10_004,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl44,plain,
    ( ( ( cons @ sk__10 @ nil )
      = sk__8 )
    | ~ ( neq @ sk__9 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl288,plain,
    ( ~ ( ssList @ sk__9 )
    | ( sk__9 = nil )
    | ~ ( ssList @ nil )
    | ( ( cons @ sk__10 @ nil )
      = sk__8 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl44]) ).

thf(zip_derived_cl47_005,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl292_006,plain,
    ssList @ sk__7,
    inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl47]) ).

thf(zip_derived_cl47_007,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12_008,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl42,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl328,plain,
    ( ( sk__7 = nil )
    | ( ( cons @ sk__10 @ nil )
      = sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl288,zip_derived_cl47,zip_derived_cl292,zip_derived_cl47,zip_derived_cl12,zip_derived_cl42]) ).

thf(zip_derived_cl46,plain,
    ( ( nil = sk__8 )
    | ( nil != sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl42_009,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl290,plain,
    ( ( nil = sk__6 )
    | ( nil != sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl42]) ).

thf(zip_derived_cl47_010,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl293,plain,
    ( ( nil = sk__6 )
    | ( nil != sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl290,zip_derived_cl47]) ).

thf(zip_derived_cl40,plain,
    ( ( nil != sk__7 )
    | ( nil != sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl294,plain,
    nil != sk__7,
    inference(clc,[status(thm)],[zip_derived_cl293,zip_derived_cl40]) ).

thf(zip_derived_cl329,plain,
    ( ( cons @ sk__10 @ nil )
    = sk__6 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl328,zip_derived_cl294]) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i] :
      ( ~ ( memberP @ sk__7 @ X0 )
      | ( ( cons @ X0 @ nil )
       != sk__6 )
      | ~ ( ssItem @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl333,plain,
    ( ( sk__6 != sk__6 )
    | ~ ( ssItem @ sk__10 )
    | ~ ( memberP @ sk__7 @ sk__10 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl329,zip_derived_cl41]) ).

thf(zip_derived_cl10_011,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl45,plain,
    ( ( ssItem @ sk__10 )
    | ~ ( neq @ sk__9 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl289,plain,
    ( ~ ( ssList @ sk__9 )
    | ( sk__9 = nil )
    | ~ ( ssList @ nil )
    | ( ssItem @ sk__10 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl45]) ).

thf(zip_derived_cl47_012,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl292_013,plain,
    ssList @ sk__7,
    inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl47]) ).

thf(zip_derived_cl47_014,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12_015,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl307,plain,
    ( ( sk__7 = nil )
    | ( ssItem @ sk__10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl289,zip_derived_cl47,zip_derived_cl292,zip_derived_cl47,zip_derived_cl12]) ).

thf(zip_derived_cl294_016,plain,
    nil != sk__7,
    inference(clc,[status(thm)],[zip_derived_cl293,zip_derived_cl40]) ).

thf(zip_derived_cl308,plain,
    ssItem @ sk__10,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl307,zip_derived_cl294]) ).

thf(zip_derived_cl337,plain,
    ( ( sk__6 != sk__6 )
    | ~ ( memberP @ sk__7 @ sk__10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl333,zip_derived_cl308]) ).

thf(zip_derived_cl338,plain,
    ~ ( memberP @ sk__7 @ sk__10 ),
    inference(simplify,[status(thm)],[zip_derived_cl337]) ).

thf(zip_derived_cl380,plain,
    sk__7 = nil,
    inference(demod,[status(thm)],[zip_derived_cl287,zip_derived_cl47,zip_derived_cl292,zip_derived_cl47,zip_derived_cl12,zip_derived_cl47,zip_derived_cl338]) ).

thf(zip_derived_cl294_017,plain,
    nil != sk__7,
    inference(clc,[status(thm)],[zip_derived_cl293,zip_derived_cl40]) ).

thf(zip_derived_cl381,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl380,zip_derived_cl294]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC387+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.DaUx7FE8fg true
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 16:56:43 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
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.50/0.65  % Total configuration time : 435
% 0.50/0.65  % Estimated wc time : 1092
% 0.50/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.78  % Solved by fo/fo3_bce.sh.
% 0.58/0.78  % BCE start: 50
% 0.58/0.78  % BCE eliminated: 2
% 0.58/0.78  % PE start: 48
% 0.58/0.78  logic: eq
% 0.58/0.78  % PE eliminated: -1
% 0.58/0.78  % done 43 iterations in 0.031s
% 0.58/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.78  % SZS output start Refutation
% See solution above
% 0.58/0.78  
% 0.58/0.78  
% 0.58/0.78  % Terminating...
% 0.58/0.85  % Runner terminated.
% 0.58/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------