TSTP Solution File: SWC404+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC404+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.oPS3JPDt4Q 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 Aug 31 21:31:22 EDT 2023

% Result   : Theorem 3.31s 1.09s
% Output   : Refutation 3.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   43 (  13 unt;  15 typ;   0 def)
%            Number of atoms       :  128 (  22 equ;   0 cnn)
%            Maximal formula atoms :   29 (   4 avg)
%            Number of connectives :  361 (  52   ~;  54   |;  26   &; 209   @)
%                                         (   1 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   30 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   9 con; 0-2 aty)
%            Number of variables   :   50 (   0   ^;  34   !;  16   ?;  50   :)

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

thf(sk__22_type,type,
    sk__22: $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__19_type,type,
    sk__19: $i ).

thf(sk__21_type,type,
    sk__21: $i ).

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

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

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

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

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

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

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 )
                       => ! [Z: $i] :
                            ( ( ssList @ Z )
                           => ( ( ( app @ ( app @ Y @ W ) @ Z )
                               != X )
                              | ~ ( strictorderedP @ W )
                              | ? [X1: $i] :
                                  ( ? [X2: $i] :
                                      ( ? [X3: $i] :
                                          ( ? [X4: $i] :
                                              ( ( lt @ X1 @ X3 )
                                              & ( ( app @ ( cons @ X3 @ nil ) @ X4 )
                                                = W )
                                              & ( ssList @ X4 ) )
                                          & ( ssItem @ X3 ) )
                                      & ( ( app @ X2 @ ( cons @ X1 @ nil ) )
                                        = Y )
                                      & ( ssList @ X2 ) )
                                  & ( ssItem @ X1 ) )
                              | ? [X5: $i] :
                                  ( ? [X6: $i] :
                                      ( ? [X7: $i] :
                                          ( ? [X8: $i] :
                                              ( ( lt @ X7 @ X5 )
                                              & ( ( app @ X8 @ ( cons @ X7 @ nil ) )
                                                = W )
                                              & ( ssList @ X8 ) )
                                          & ( ssItem @ X7 ) )
                                      & ( ( app @ ( cons @ X5 @ nil ) @ X6 )
                                        = Z )
                                      & ( ssList @ X6 ) )
                                  & ( ssItem @ X5 ) ) ) ) )
                    | ! [X9: $i] :
                        ( ( ssItem @ X9 )
                       => ( ~ ( memberP @ U @ X9 )
                          | ( memberP @ V @ X9 ) ) )
                    | ( ( 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] :
                          ( ( ssList @ Y )
                         => ! [Z: $i] :
                              ( ( ssList @ Z )
                             => ( ( ( app @ ( app @ Y @ W ) @ Z )
                                 != X )
                                | ~ ( strictorderedP @ W )
                                | ? [X1: $i] :
                                    ( ? [X2: $i] :
                                        ( ? [X3: $i] :
                                            ( ? [X4: $i] :
                                                ( ( lt @ X1 @ X3 )
                                                & ( ( app @ ( cons @ X3 @ nil ) @ X4 )
                                                  = W )
                                                & ( ssList @ X4 ) )
                                            & ( ssItem @ X3 ) )
                                        & ( ( app @ X2 @ ( cons @ X1 @ nil ) )
                                          = Y )
                                        & ( ssList @ X2 ) )
                                    & ( ssItem @ X1 ) )
                                | ? [X5: $i] :
                                    ( ? [X6: $i] :
                                        ( ? [X7: $i] :
                                            ( ? [X8: $i] :
                                                ( ( lt @ X7 @ X5 )
                                                & ( ( app @ X8 @ ( cons @ X7 @ nil ) )
                                                  = W )
                                                & ( ssList @ X8 ) )
                                            & ( ssItem @ X7 ) )
                                        & ( ( app @ ( cons @ X5 @ nil ) @ X6 )
                                          = Z )
                                        & ( ssList @ X6 ) )
                                    & ( ssItem @ X5 ) ) ) ) )
                      | ! [X9: $i] :
                          ( ( ssItem @ X9 )
                         => ( ~ ( memberP @ U @ X9 )
                            | ( memberP @ V @ X9 ) ) )
                      | ( ( nil != X )
                        & ( nil = W ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl84,plain,
    ~ ( memberP @ sk__18 @ sk__23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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(ax36,axiom,
    ! [U: $i] :
      ( ( ssItem @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ( ( memberP @ ( app @ V @ W ) @ U )
              <=> ( ( memberP @ V @ U )
                  | ( memberP @ W @ U ) ) ) ) ) ) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( memberP @ X1 @ X2 )
      | ( memberP @ ( app @ X0 @ X1 ) @ X2 )
      | ~ ( ssList @ X1 )
      | ~ ( ssItem @ X2 ) ),
    inference(cnf,[status(esa)],[ax36]) ).

thf(zip_derived_cl93,plain,
    ( ( app @ ( app @ sk__21 @ sk__19 ) @ sk__22 )
    = sk__20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl87,plain,
    sk__17 = sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl95,plain,
    sk__18 = sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl691,plain,
    ( ( app @ ( app @ sk__21 @ sk__17 ) @ sk__22 )
    = sk__18 ),
    inference(demod,[status(thm)],[zip_derived_cl93,zip_derived_cl87,zip_derived_cl95]) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( memberP @ X0 @ X1 )
      | ( memberP @ ( app @ X0 @ X2 ) @ X1 )
      | ~ ( ssList @ X2 )
      | ~ ( ssItem @ X1 ) ),
    inference(cnf,[status(esa)],[ax36]) ).

thf(zip_derived_cl1509,plain,
    ! [X0: $i] :
      ( ( memberP @ sk__18 @ X0 )
      | ~ ( ssItem @ X0 )
      | ~ ( ssList @ sk__22 )
      | ~ ( memberP @ ( app @ sk__21 @ sk__17 ) @ X0 )
      | ~ ( ssList @ ( app @ sk__21 @ sk__17 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl691,zip_derived_cl45]) ).

thf(zip_derived_cl94,plain,
    ssList @ sk__22,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1538,plain,
    ! [X0: $i] :
      ( ( memberP @ sk__18 @ X0 )
      | ~ ( ssItem @ X0 )
      | ~ ( memberP @ ( app @ sk__21 @ sk__17 ) @ X0 )
      | ~ ( ssList @ ( app @ sk__21 @ sk__17 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1509,zip_derived_cl94]) ).

thf(zip_derived_cl1881,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ~ ( ssList @ sk__17 )
      | ~ ( memberP @ sk__17 @ X0 )
      | ~ ( ssList @ sk__21 )
      | ~ ( ssList @ ( app @ sk__21 @ sk__17 ) )
      | ~ ( ssItem @ X0 )
      | ( memberP @ sk__18 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl1538]) ).

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

thf(zip_derived_cl89,plain,
    ssList @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1884,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ~ ( memberP @ sk__17 @ X0 )
      | ~ ( ssList @ ( app @ sk__21 @ sk__17 ) )
      | ~ ( ssItem @ X0 )
      | ( memberP @ sk__18 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1881,zip_derived_cl82,zip_derived_cl89]) ).

thf(zip_derived_cl1885,plain,
    ! [X0: $i] :
      ( ( memberP @ sk__18 @ X0 )
      | ~ ( ssList @ ( app @ sk__21 @ sk__17 ) )
      | ~ ( memberP @ sk__17 @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1884]) ).

thf(zip_derived_cl2050,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__21 )
      | ~ ( ssList @ sk__17 )
      | ~ ( ssItem @ X0 )
      | ~ ( memberP @ sk__17 @ X0 )
      | ( memberP @ sk__18 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl1885]) ).

thf(zip_derived_cl89_001,plain,
    ssList @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl82_002,plain,
    ssList @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2052,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ~ ( memberP @ sk__17 @ X0 )
      | ( memberP @ sk__18 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2050,zip_derived_cl89,zip_derived_cl82]) ).

thf(zip_derived_cl2056,plain,
    ( ~ ( memberP @ sk__17 @ sk__23 )
    | ~ ( ssItem @ sk__23 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl84,zip_derived_cl2052]) ).

thf(zip_derived_cl85,plain,
    memberP @ sk__17 @ sk__23,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl86,plain,
    ssItem @ sk__23,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2057,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2056,zip_derived_cl85,zip_derived_cl86]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWC404+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.oPS3JPDt4Q true
% 0.13/0.35  % Computer : n019.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 17:24:13 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
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.20/0.62  % Total configuration time : 435
% 0.20/0.62  % Estimated wc time : 1092
% 0.20/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 3.31/1.09  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 3.31/1.09  % Solved by fo/fo3_bce.sh.
% 3.31/1.09  % BCE start: 98
% 3.31/1.09  % BCE eliminated: 2
% 3.31/1.09  % PE start: 96
% 3.31/1.09  logic: eq
% 3.31/1.09  % PE eliminated: 2
% 3.31/1.09  % done 294 iterations in 0.283s
% 3.31/1.09  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.31/1.09  % SZS output start Refutation
% See solution above
% 3.31/1.09  
% 3.31/1.09  
% 3.31/1.09  % Terminating...
% 3.77/1.23  % Runner terminated.
% 3.77/1.24  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------