TSTP Solution File: SWC181+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC181+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.wliQdkKnlh true

% Computer : n008.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 21:29:42 EDT 2023

% Result   : Theorem 1.61s 0.95s
% Output   : Refutation 1.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   68 (  28 unt;  16 typ;   0 def)
%            Number of atoms       :  169 (  37 equ;   0 cnn)
%            Maximal formula atoms :   27 (   3 avg)
%            Number of connectives :  468 (  61   ~;  59   |;  27   &; 290   @)
%                                         (   3 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   30 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   17 (  17   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  16 usr;   4 con; 0-2 aty)
%            Number of variables   :   58 (   0   ^;  42   !;  16   ?;  58   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__15_type,type,
    sk__15: $i > $i ).

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

thf(duplicatefreeP_type,type,
    duplicatefreeP: $i > $o ).

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

thf(sk__16_type,type,
    sk__16: $i > $i ).

thf(sk__14_type,type,
    sk__14: $i > $i ).

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

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

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

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

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

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

thf(ax93,axiom,
    ! [U: $i] :
      ( ( ssItem @ U )
     => ! [V: $i] :
          ( ( ssItem @ V )
         => ( ( lt @ U @ V )
          <=> ( ( U != V )
              & ( leq @ U @ V ) ) ) ) ) ).

thf(zip_derived_cl78,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ~ ( lt @ X1 @ X0 )
      | ( X1 != X0 )
      | ~ ( ssItem @ X1 ) ),
    inference(cnf,[status(esa)],[ax93]) ).

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 ) ) ) ) )
                    | ( duplicatefreeP @ U )
                    | ( ( 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 ) ) ) ) )
                      | ( duplicatefreeP @ U )
                      | ( ( nil != X )
                        & ( nil = W ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl88,plain,
    strictorderedP @ sk__22,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl84,plain,
    sk__20 = sk__22,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl665,plain,
    strictorderedP @ sk__20,
    inference(demod,[status(thm)],[zip_derived_cl88,zip_derived_cl84]) ).

thf(ax13,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( duplicatefreeP @ U )
      <=> ! [V: $i] :
            ( ( ssItem @ V )
           => ! [W: $i] :
                ( ( ssItem @ W )
               => ! [X: $i] :
                    ( ( ssList @ X )
                   => ! [Y: $i] :
                        ( ( ssList @ Y )
                       => ! [Z: $i] :
                            ( ( ssList @ Z )
                           => ( ( ( app @ ( app @ X @ ( cons @ V @ Y ) ) @ ( cons @ W @ Z ) )
                                = U )
                             => ( V != W ) ) ) ) ) ) ) ) ) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i] :
      ( ( ( app @ ( app @ ( sk__14 @ X0 ) @ ( cons @ ( sk__12 @ X0 ) @ ( sk__15 @ X0 ) ) ) @ ( cons @ ( sk__13 @ X0 ) @ ( sk__16 @ X0 ) ) )
        = X0 )
      | ( duplicatefreeP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax13]) ).

thf(zip_derived_cl83,plain,
    ~ ( duplicatefreeP @ sk__20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl647,plain,
    ( ~ ( ssList @ sk__20 )
    | ( ( app @ ( app @ ( sk__14 @ sk__20 ) @ ( cons @ ( sk__12 @ sk__20 ) @ ( sk__15 @ sk__20 ) ) ) @ ( cons @ ( sk__13 @ sk__20 ) @ ( sk__16 @ sk__20 ) ) )
      = sk__20 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl22,zip_derived_cl83]) ).

thf(zip_derived_cl81,plain,
    ssList @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i] :
      ( ( ( sk__12 @ X0 )
        = ( sk__13 @ X0 ) )
      | ( duplicatefreeP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax13]) ).

thf(zip_derived_cl83_001,plain,
    ~ ( duplicatefreeP @ sk__20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl649,plain,
    ( ~ ( ssList @ sk__20 )
    | ( ( sk__12 @ sk__20 )
      = ( sk__13 @ sk__20 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl23,zip_derived_cl83]) ).

thf(zip_derived_cl81_002,plain,
    ssList @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl691,plain,
    ( ( sk__12 @ sk__20 )
    = ( sk__13 @ sk__20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl649,zip_derived_cl81]) ).

thf(zip_derived_cl1890,plain,
    ( ( app @ ( app @ ( sk__14 @ sk__20 ) @ ( cons @ ( sk__12 @ sk__20 ) @ ( sk__15 @ sk__20 ) ) ) @ ( cons @ ( sk__12 @ sk__20 ) @ ( sk__16 @ sk__20 ) ) )
    = sk__20 ),
    inference(demod,[status(thm)],[zip_derived_cl647,zip_derived_cl81,zip_derived_cl691]) ).

thf(ax12,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( strictorderedP @ U )
      <=> ! [V: $i] :
            ( ( ssItem @ V )
           => ! [W: $i] :
                ( ( ssItem @ W )
               => ! [X: $i] :
                    ( ( ssList @ X )
                   => ! [Y: $i] :
                        ( ( ssList @ Y )
                       => ! [Z: $i] :
                            ( ( ssList @ Z )
                           => ( ( ( app @ ( app @ X @ ( cons @ V @ Y ) ) @ ( cons @ W @ Z ) )
                                = U )
                             => ( lt @ V @ W ) ) ) ) ) ) ) ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( strictorderedP @ X0 )
      | ~ ( ssItem @ X1 )
      | ~ ( ssList @ X2 )
      | ( lt @ X3 @ X1 )
      | ( ( app @ ( app @ X4 @ ( cons @ X3 @ X2 ) ) @ ( cons @ X1 @ X5 ) )
       != X0 )
      | ~ ( ssList @ X5 )
      | ~ ( ssList @ X4 )
      | ~ ( ssItem @ X3 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax12]) ).

thf(zip_derived_cl1912,plain,
    ! [X0: $i] :
      ( ( sk__20 != X0 )
      | ~ ( ssList @ X0 )
      | ~ ( ssItem @ ( sk__12 @ sk__20 ) )
      | ~ ( ssList @ ( sk__14 @ sk__20 ) )
      | ~ ( ssList @ ( sk__16 @ sk__20 ) )
      | ( lt @ ( sk__12 @ sk__20 ) @ ( sk__12 @ sk__20 ) )
      | ~ ( ssList @ ( sk__15 @ sk__20 ) )
      | ~ ( ssItem @ ( sk__12 @ sk__20 ) )
      | ~ ( strictorderedP @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1890,zip_derived_cl18]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i] :
      ( ( ssItem @ ( sk__12 @ X0 ) )
      | ( duplicatefreeP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax13]) ).

thf(zip_derived_cl83_003,plain,
    ~ ( duplicatefreeP @ sk__20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl641,plain,
    ( ~ ( ssList @ sk__20 )
    | ( ssItem @ ( sk__12 @ sk__20 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl83]) ).

thf(zip_derived_cl81_004,plain,
    ssList @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl679,plain,
    ssItem @ ( sk__12 @ sk__20 ),
    inference(demod,[status(thm)],[zip_derived_cl641,zip_derived_cl81]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i] :
      ( ( ssList @ ( sk__14 @ X0 ) )
      | ( duplicatefreeP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax13]) ).

thf(zip_derived_cl83_005,plain,
    ~ ( duplicatefreeP @ sk__20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl643,plain,
    ( ~ ( ssList @ sk__20 )
    | ( ssList @ ( sk__14 @ sk__20 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl83]) ).

thf(zip_derived_cl81_006,plain,
    ssList @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl682,plain,
    ssList @ ( sk__14 @ sk__20 ),
    inference(demod,[status(thm)],[zip_derived_cl643,zip_derived_cl81]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i] :
      ( ( ssList @ ( sk__16 @ X0 ) )
      | ( duplicatefreeP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax13]) ).

thf(zip_derived_cl83_007,plain,
    ~ ( duplicatefreeP @ sk__20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl645,plain,
    ( ~ ( ssList @ sk__20 )
    | ( ssList @ ( sk__16 @ sk__20 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl21,zip_derived_cl83]) ).

thf(zip_derived_cl81_008,plain,
    ssList @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl683,plain,
    ssList @ ( sk__16 @ sk__20 ),
    inference(demod,[status(thm)],[zip_derived_cl645,zip_derived_cl81]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i] :
      ( ( ssList @ ( sk__15 @ X0 ) )
      | ( duplicatefreeP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax13]) ).

thf(zip_derived_cl83_009,plain,
    ~ ( duplicatefreeP @ sk__20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl651,plain,
    ( ~ ( ssList @ sk__20 )
    | ( ssList @ ( sk__15 @ sk__20 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl24,zip_derived_cl83]) ).

thf(zip_derived_cl81_010,plain,
    ssList @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl684,plain,
    ssList @ ( sk__15 @ sk__20 ),
    inference(demod,[status(thm)],[zip_derived_cl651,zip_derived_cl81]) ).

thf(zip_derived_cl679_011,plain,
    ssItem @ ( sk__12 @ sk__20 ),
    inference(demod,[status(thm)],[zip_derived_cl641,zip_derived_cl81]) ).

thf(zip_derived_cl1940,plain,
    ! [X0: $i] :
      ( ( sk__20 != X0 )
      | ~ ( ssList @ X0 )
      | ( lt @ ( sk__12 @ sk__20 ) @ ( sk__12 @ sk__20 ) )
      | ~ ( strictorderedP @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1912,zip_derived_cl679,zip_derived_cl682,zip_derived_cl683,zip_derived_cl684,zip_derived_cl679]) ).

thf(zip_derived_cl1955,plain,
    ( ( lt @ ( sk__12 @ sk__20 ) @ ( sk__12 @ sk__20 ) )
    | ~ ( ssList @ sk__20 )
    | ( sk__20 != sk__20 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl665,zip_derived_cl1940]) ).

thf(zip_derived_cl81_012,plain,
    ssList @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1961,plain,
    ( ( lt @ ( sk__12 @ sk__20 ) @ ( sk__12 @ sk__20 ) )
    | ( sk__20 != sk__20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1955,zip_derived_cl81]) ).

thf(zip_derived_cl1962,plain,
    lt @ ( sk__12 @ sk__20 ) @ ( sk__12 @ sk__20 ),
    inference(simplify,[status(thm)],[zip_derived_cl1961]) ).

thf(zip_derived_cl1970,plain,
    ( ~ ( ssItem @ ( sk__12 @ sk__20 ) )
    | ( ( sk__12 @ sk__20 )
     != ( sk__12 @ sk__20 ) )
    | ~ ( ssItem @ ( sk__12 @ sk__20 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl78,zip_derived_cl1962]) ).

thf(zip_derived_cl679_013,plain,
    ssItem @ ( sk__12 @ sk__20 ),
    inference(demod,[status(thm)],[zip_derived_cl641,zip_derived_cl81]) ).

thf(zip_derived_cl679_014,plain,
    ssItem @ ( sk__12 @ sk__20 ),
    inference(demod,[status(thm)],[zip_derived_cl641,zip_derived_cl81]) ).

thf(zip_derived_cl1973,plain,
    ( ( sk__12 @ sk__20 )
   != ( sk__12 @ sk__20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1970,zip_derived_cl679,zip_derived_cl679]) ).

thf(zip_derived_cl1974,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl1973]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWC181+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wliQdkKnlh true
% 0.13/0.34  % Computer : n008.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 14:37:32 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
% 0.20/0.35  % Running in FO mode
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.61/0.95  % Solved by fo/fo3_bce.sh.
% 1.61/0.95  % BCE start: 95
% 1.61/0.95  % BCE eliminated: 2
% 1.61/0.95  % PE start: 93
% 1.61/0.95  logic: eq
% 1.61/0.95  % PE eliminated: -5
% 1.61/0.95  % done 243 iterations in 0.203s
% 1.61/0.95  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.61/0.95  % SZS output start Refutation
% See solution above
% 1.61/0.96  
% 1.61/0.96  
% 1.61/0.96  % Terminating...
% 1.71/1.05  % Runner terminated.
% 1.71/1.07  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------