TSTP Solution File: SWC017+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC017+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.O0O2TawGP0 true

% Computer : n021.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 21:28:31 EDT 2023

% Result   : Theorem 0.58s 0.82s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   59 (  20 unt;   8 typ;   0 def)
%            Number of atoms       :  130 (  54 equ;   0 cnn)
%            Maximal formula atoms :   17 (   2 avg)
%            Number of connectives :  252 (  54   ~;  57   |;  10   &; 119   @)
%                                         (   2 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   22 (   0   ^;  20   !;   2   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
thf(frontsegP_type,type,
    frontsegP: $i > $i > $o ).

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

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

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

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

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

thf(sk__5_type,type,
    sk__5: $i ).

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

thf(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ( ( ~ ( frontsegP @ X @ W )
                      | ~ ( neq @ W @ nil ) )
                    & ( ( nil != W )
                      | ( nil != X ) ) )
                  | ( ( ? [Y: $i] :
                          ( ( frontsegP @ U @ Y )
                          & ( frontsegP @ V @ Y )
                          & ( neq @ Y @ nil )
                          & ( ssList @ Y ) )
                      | ~ ( neq @ V @ nil ) )
                    & ( ( nil = U )
                      | ( nil != V ) ) )
                  | ( U != W )
                  | ( V != X )
                  | ~ ( ssList @ X ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i] :
        ( ( ssList @ U )
       => ! [V: $i] :
            ( ( ssList @ V )
           => ! [W: $i] :
                ( ( ssList @ W )
               => ! [X: $i] :
                    ( ( ( ~ ( frontsegP @ X @ W )
                        | ~ ( neq @ W @ nil ) )
                      & ( ( nil != W )
                        | ( nil != X ) ) )
                    | ( ( ? [Y: $i] :
                            ( ( frontsegP @ U @ Y )
                            & ( frontsegP @ V @ Y )
                            & ( neq @ Y @ nil )
                            & ( ssList @ Y ) )
                        | ~ ( neq @ V @ nil ) )
                      & ( ( nil = U )
                        | ( nil != V ) ) )
                    | ( U != W )
                    | ( V != X )
                    | ~ ( ssList @ X ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl44,plain,
    ( ( neq @ sk__6 @ nil )
    | ( nil != sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57,plain,
    ( ( neq @ sk__6 @ sk__5 )
    | ( nil != sk__5 ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl44]) ).

thf(ax42,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( frontsegP @ U @ U ) ) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i] :
      ( ( frontsegP @ X0 @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax42]) ).

thf(zip_derived_cl50,plain,
    ( ( neq @ sk__7 @ nil )
    | ( nil = sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl46,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl51,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl63,plain,
    ( ( neq @ sk__5 @ nil )
    | ( nil = sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl46,zip_derived_cl51]) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X0 @ nil )
      | ~ ( frontsegP @ sk__6 @ X0 )
      | ~ ( frontsegP @ sk__5 @ X0 )
      | ( nil = sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl96,plain,
    ( ( nil = sk__6 )
    | ( nil = sk__6 )
    | ~ ( frontsegP @ sk__5 @ sk__5 )
    | ~ ( frontsegP @ sk__6 @ sk__5 )
    | ~ ( ssList @ sk__5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl43]) ).

thf(zip_derived_cl40,plain,
    ssList @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl99,plain,
    ( ( nil = sk__6 )
    | ( nil = sk__6 )
    | ~ ( frontsegP @ sk__5 @ sk__5 )
    | ~ ( frontsegP @ sk__6 @ sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl40]) ).

thf(zip_derived_cl100,plain,
    ( ~ ( frontsegP @ sk__6 @ sk__5 )
    | ~ ( frontsegP @ sk__5 @ sk__5 )
    | ( nil = sk__6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl99]) ).

thf(zip_derived_cl48,plain,
    ( ( frontsegP @ sk__8 @ sk__7 )
    | ( nil = sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl51_001,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl46_002,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl51_003,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl61,plain,
    ( ( frontsegP @ sk__6 @ sk__5 )
    | ( nil = sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl51,zip_derived_cl46,zip_derived_cl51]) ).

thf(zip_derived_cl103,plain,
    ( ( nil = sk__6 )
    | ~ ( frontsegP @ sk__5 @ sk__5 ) ),
    inference(clc,[status(thm)],[zip_derived_cl100,zip_derived_cl61]) ).

thf(zip_derived_cl104,plain,
    ( ~ ( ssList @ sk__5 )
    | ( nil = sk__6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl103]) ).

thf(zip_derived_cl40_004,plain,
    ssList @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl105,plain,
    nil = sk__6,
    inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl40]) ).

thf(zip_derived_cl115,plain,
    ( ( neq @ sk__6 @ sk__5 )
    | ( sk__6 != sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl105]) ).

thf(zip_derived_cl116,plain,
    ( ( neq @ sk__5 @ sk__5 )
    | ( sk__6 != sk__5 ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl115]) ).

thf(zip_derived_cl47,plain,
    ( ( frontsegP @ sk__8 @ sk__7 )
    | ( nil = sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl51_005,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl46_006,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl46_007,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl60,plain,
    ( ( frontsegP @ sk__6 @ sk__5 )
    | ( nil = sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl51,zip_derived_cl46,zip_derived_cl46]) ).

thf(zip_derived_cl105_008,plain,
    nil = sk__6,
    inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl40]) ).

thf(zip_derived_cl117,plain,
    ( ( frontsegP @ sk__6 @ sk__5 )
    | ( sk__6 = sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl105]) ).

thf(ax46,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( frontsegP @ nil @ U )
      <=> ( nil = U ) ) ) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i] :
      ( ~ ( frontsegP @ nil @ X0 )
      | ( nil = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax46]) ).

thf(zip_derived_cl105_009,plain,
    nil = sk__6,
    inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl40]) ).

thf(zip_derived_cl105_010,plain,
    nil = sk__6,
    inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl40]) ).

thf(zip_derived_cl110,plain,
    ! [X0: $i] :
      ( ~ ( frontsegP @ sk__6 @ X0 )
      | ( sk__6 = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl105,zip_derived_cl105]) ).

thf(zip_derived_cl134,plain,
    ( ( sk__6 = sk__5 )
    | ~ ( ssList @ sk__5 )
    | ( sk__6 = sk__5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl110]) ).

thf(zip_derived_cl40_011,plain,
    ssList @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136,plain,
    ( ( sk__6 = sk__5 )
    | ( sk__6 = sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl134,zip_derived_cl40]) ).

thf(zip_derived_cl137,plain,
    sk__6 = sk__5,
    inference(simplify,[status(thm)],[zip_derived_cl136]) ).

thf(zip_derived_cl145,plain,
    ( ( neq @ sk__5 @ sk__5 )
    | ( sk__5 != sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl137]) ).

thf(zip_derived_cl146,plain,
    neq @ sk__5 @ sk__5,
    inference(simplify,[status(thm)],[zip_derived_cl145]) ).

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

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X1 @ X0 )
      | ( X1 != X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl66,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X0 @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i] :
      ( ~ ( neq @ X0 @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl66]) ).

thf(zip_derived_cl160,plain,
    ~ ( ssList @ sk__5 ),
    inference('sup-',[status(thm)],[zip_derived_cl146,zip_derived_cl67]) ).

thf(zip_derived_cl40_012,plain,
    ssList @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl161,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl160,zip_derived_cl40]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWC017+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.O0O2TawGP0 true
% 0.14/0.36  % Computer : n021.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Mon Aug 28 16:16:13 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
% 0.53/0.67  % Total configuration time : 435
% 0.53/0.67  % Estimated wc time : 1092
% 0.53/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74  % /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
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.81  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.81  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.82  % Solved by fo/fo7.sh.
% 0.58/0.82  % done 63 iterations in 0.026s
% 0.58/0.82  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.82  % SZS output start Refutation
% See solution above
% 0.58/0.82  
% 0.58/0.82  
% 0.58/0.82  % Terminating...
% 0.59/0.89  % Runner terminated.
% 0.59/0.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------