TSTP Solution File: SWC279+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC279+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.EBtpG8MCU2 true

% Computer : n028.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 21:30:26 EDT 2023

% Result   : Theorem 1.25s 0.92s
% Output   : Refutation 1.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   51 (  16 unt;  13 typ;   0 def)
%            Number of atoms       :  143 (  20 equ;   0 cnn)
%            Maximal formula atoms :   24 (   3 avg)
%            Number of connectives :  422 (  78   ~;  73   |;  16   &; 239   @)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   8 con; 0-2 aty)
%            Number of variables   :   47 (   0   ^;  39   !;   8   ?;  47   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__21_type,type,
    sk__21: $i ).

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

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

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(leq_type,type,
    leq: $i > $i > $o ).

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

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

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

thf(sk__24_type,type,
    sk__24: $i ).

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

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] :
                                ( ? [X2: $i] :
                                    ( ( ( ( memberP @ Z @ X2 )
                                        & ~ ( leq @ X2 @ Y ) )
                                      | ( ( memberP @ X1 @ X2 )
                                        & ~ ( leq @ Y @ X2 ) ) )
                                    & ( ssItem @ X2 ) )
                                & ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
                                  = W )
                                & ( ssList @ X1 ) )
                            & ( ssList @ Z ) )
                        & ( ssItem @ Y ) )
                    | ! [X3: $i] :
                        ( ( ssItem @ X3 )
                       => ! [X4: $i] :
                            ( ( ssList @ X4 )
                           => ! [X5: $i] :
                                ( ( ssList @ X5 )
                               => ( ( ( app @ ( app @ X4 @ ( cons @ X3 @ nil ) ) @ X5 )
                                   != U )
                                  | ! [X6: $i] :
                                      ( ( ssItem @ X6 )
                                     => ( ( ~ ( memberP @ X4 @ X6 )
                                          | ( leq @ X6 @ X3 ) )
                                        & ( ~ ( memberP @ X5 @ X6 )
                                          | ( leq @ X3 @ X6 ) ) ) ) ) ) ) ) ) ) ) ) ) ).

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

thf(zip_derived_cl92,plain,
    ( ~ ( leq @ sk__24 @ sk__21 )
    | ~ ( leq @ sk__21 @ sk__24 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl93,plain,
    ( ( app @ ( app @ sk__22 @ ( cons @ sk__21 @ nil ) ) @ sk__23 )
    = sk__17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl96,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssItem @ X1 )
      | ( leq @ X1 @ X2 )
      | ~ ( memberP @ X0 @ X1 )
      | ( ( app @ ( app @ X0 @ ( cons @ X2 @ nil ) ) @ X3 )
       != sk__19 )
      | ~ ( ssList @ X3 )
      | ~ ( ssItem @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl98,plain,
    sk__17 = sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1930,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssItem @ X1 )
      | ( leq @ X1 @ X2 )
      | ~ ( memberP @ X0 @ X1 )
      | ( ( app @ ( app @ X0 @ ( cons @ X2 @ nil ) ) @ X3 )
       != sk__17 )
      | ~ ( ssList @ X3 )
      | ~ ( ssItem @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl98]) ).

thf(zip_derived_cl1934,plain,
    ! [X0: $i] :
      ( ( sk__17 != sk__17 )
      | ~ ( ssItem @ sk__21 )
      | ~ ( ssList @ sk__23 )
      | ~ ( memberP @ sk__22 @ X0 )
      | ( leq @ X0 @ sk__21 )
      | ~ ( ssItem @ X0 )
      | ~ ( ssList @ sk__22 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl1930]) ).

thf(zip_derived_cl95,plain,
    ssItem @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl94,plain,
    ssList @ sk__23,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl87,plain,
    ssList @ sk__22,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1943,plain,
    ! [X0: $i] :
      ( ( sk__17 != sk__17 )
      | ~ ( memberP @ sk__22 @ X0 )
      | ( leq @ X0 @ sk__21 )
      | ~ ( ssItem @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1934,zip_derived_cl95,zip_derived_cl94,zip_derived_cl87]) ).

thf(zip_derived_cl1944,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ( leq @ X0 @ sk__21 )
      | ~ ( memberP @ sk__22 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1943]) ).

thf(zip_derived_cl1954,plain,
    ( ~ ( leq @ sk__21 @ sk__24 )
    | ~ ( memberP @ sk__22 @ sk__24 )
    | ~ ( ssItem @ sk__24 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl92,zip_derived_cl1944]) ).

thf(zip_derived_cl88,plain,
    ssItem @ sk__24,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1956,plain,
    ( ~ ( leq @ sk__21 @ sk__24 )
    | ~ ( memberP @ sk__22 @ sk__24 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1954,zip_derived_cl88]) ).

thf(zip_derived_cl90,plain,
    ( ( memberP @ sk__22 @ sk__24 )
    | ~ ( leq @ sk__21 @ sk__24 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1965,plain,
    ~ ( leq @ sk__21 @ sk__24 ),
    inference(clc,[status(thm)],[zip_derived_cl1956,zip_derived_cl90]) ).

thf(zip_derived_cl93_001,plain,
    ( ( app @ ( app @ sk__22 @ ( cons @ sk__21 @ nil ) ) @ sk__23 )
    = sk__17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl97,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssItem @ X1 )
      | ( leq @ X2 @ X1 )
      | ~ ( memberP @ X3 @ X1 )
      | ( ( app @ ( app @ X0 @ ( cons @ X2 @ nil ) ) @ X3 )
       != sk__19 )
      | ~ ( ssList @ X3 )
      | ~ ( ssItem @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl98_002,plain,
    sk__17 = sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1979,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssItem @ X1 )
      | ( leq @ X2 @ X1 )
      | ~ ( memberP @ X3 @ X1 )
      | ( ( app @ ( app @ X0 @ ( cons @ X2 @ nil ) ) @ X3 )
       != sk__17 )
      | ~ ( ssList @ X3 )
      | ~ ( ssItem @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl97,zip_derived_cl98]) ).

thf(zip_derived_cl1983,plain,
    ! [X0: $i] :
      ( ( sk__17 != sk__17 )
      | ~ ( ssItem @ sk__21 )
      | ~ ( ssList @ sk__23 )
      | ~ ( memberP @ sk__23 @ X0 )
      | ( leq @ sk__21 @ X0 )
      | ~ ( ssItem @ X0 )
      | ~ ( ssList @ sk__22 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl1979]) ).

thf(zip_derived_cl95_003,plain,
    ssItem @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl94_004,plain,
    ssList @ sk__23,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl87_005,plain,
    ssList @ sk__22,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1992,plain,
    ! [X0: $i] :
      ( ( sk__17 != sk__17 )
      | ~ ( memberP @ sk__23 @ X0 )
      | ( leq @ sk__21 @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1983,zip_derived_cl95,zip_derived_cl94,zip_derived_cl87]) ).

thf(zip_derived_cl1993,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ( leq @ sk__21 @ X0 )
      | ~ ( memberP @ sk__23 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1992]) ).

thf(zip_derived_cl2003,plain,
    ( ~ ( memberP @ sk__23 @ sk__24 )
    | ~ ( ssItem @ sk__24 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1965,zip_derived_cl1993]) ).

thf(zip_derived_cl91,plain,
    ( ~ ( leq @ sk__24 @ sk__21 )
    | ( memberP @ sk__23 @ sk__24 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1944_006,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ( leq @ X0 @ sk__21 )
      | ~ ( memberP @ sk__22 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1943]) ).

thf(zip_derived_cl1953,plain,
    ( ( memberP @ sk__23 @ sk__24 )
    | ~ ( memberP @ sk__22 @ sk__24 )
    | ~ ( ssItem @ sk__24 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl91,zip_derived_cl1944]) ).

thf(zip_derived_cl88_007,plain,
    ssItem @ sk__24,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1955,plain,
    ( ( memberP @ sk__23 @ sk__24 )
    | ~ ( memberP @ sk__22 @ sk__24 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1953,zip_derived_cl88]) ).

thf(zip_derived_cl89,plain,
    ( ( memberP @ sk__22 @ sk__24 )
    | ( memberP @ sk__23 @ sk__24 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1967,plain,
    memberP @ sk__23 @ sk__24,
    inference(clc,[status(thm)],[zip_derived_cl1955,zip_derived_cl89]) ).

thf(zip_derived_cl88_008,plain,
    ssItem @ sk__24,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2005,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2003,zip_derived_cl1967,zip_derived_cl88]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC279+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.EBtpG8MCU2 true
% 0.13/0.34  % Computer : n028.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 15:05:10 EDT 2023
% 0.19/0.34  % CPUTime  : 
% 0.19/0.34  % Running portfolio for 300 s
% 0.19/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.34  % Number of cores: 8
% 0.19/0.35  % Python version: Python 3.6.8
% 0.19/0.35  % Running in FO mode
% 0.57/0.65  % Total configuration time : 435
% 0.57/0.65  % Estimated wc time : 1092
% 0.57/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.24/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.24/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.25/0.92  % Solved by fo/fo3_bce.sh.
% 1.25/0.92  % BCE start: 102
% 1.25/0.92  % BCE eliminated: 2
% 1.25/0.92  % PE start: 100
% 1.25/0.92  logic: eq
% 1.25/0.92  % PE eliminated: 0
% 1.25/0.92  % done 248 iterations in 0.192s
% 1.25/0.92  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.25/0.92  % SZS output start Refutation
% See solution above
% 1.25/0.92  
% 1.25/0.92  
% 1.25/0.92  % Terminating...
% 1.46/0.96  % Runner terminated.
% 1.56/0.98  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------