TSTP Solution File: SWC392+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC392+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.rFiuWwZhee true

% Computer : n016.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 21:31:16 EDT 2023

% Result   : Theorem 4.22s 1.20s
% Output   : Refutation 4.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   72 (  19 unt;  12 typ;   0 def)
%            Number of atoms       :  157 (  62 equ;   0 cnn)
%            Maximal formula atoms :   18 (   2 avg)
%            Number of connectives :  313 (  50   ~;  54   |;  10   &; 166   @)
%                                         (   1 <=>;  16  =>;  16  <=;   0 <~>)
%            Maximal formula depth :   23 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   8 con; 0-2 aty)
%            Number of variables   :   28 (   0   ^;  26   !;   2   ?;  28   :)

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

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

thf(sk__49_type,type,
    sk__49: $i ).

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

thf(sk__48_type,type,
    sk__48: $i ).

thf(sk__52_type,type,
    sk__52: $i ).

thf(sk__47_type,type,
    sk__47: $i ).

thf(sk__51_type,type,
    sk__51: $i ).

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

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

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

thf(sk__50_type,type,
    sk__50: $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] :
                        ( ( ssItem @ Y )
                       => ( ~ ( memberP @ U @ Y )
                          | ( memberP @ V @ Y ) ) )
                    | ( ! [Z: $i] :
                          ( ( ssItem @ Z )
                         => ( ( ( cons @ Z @ nil )
                             != W )
                            | ~ ( memberP @ X @ Z )
                            | ? [X1: $i] :
                                ( ( leq @ X1 @ Z )
                                & ( memberP @ X @ X1 )
                                & ( Z != X1 )
                                & ( ssItem @ X1 ) ) ) )
                      & ( ( 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] :
                          ( ( ssItem @ Y )
                         => ( ~ ( memberP @ U @ Y )
                            | ( memberP @ V @ Y ) ) )
                      | ( ! [Z: $i] :
                            ( ( ssItem @ Z )
                           => ( ( ( cons @ Z @ nil )
                               != W )
                              | ~ ( memberP @ X @ Z )
                              | ? [X1: $i] :
                                  ( ( leq @ X1 @ Z )
                                  & ( memberP @ X @ X1 )
                                  & ( Z != X1 )
                                  & ( ssItem @ X1 ) ) ) )
                        & ( ( nil != X )
                          | ( nil != W ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl192,plain,
    ~ ( memberP @ sk__48 @ sk__52 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl193,plain,
    memberP @ sk__47 @ sk__52,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl200,plain,
    ( ( ( cons @ sk__51 @ nil )
      = sk__49 )
    | ( nil = sk__50 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl215,plain,
    ( ( ( cons @ sk__51 @ nil )
      = sk__49 )
   <= ( ( cons @ sk__51 @ nil )
      = sk__49 ) ),
    inference(split,[status(esa)],[zip_derived_cl200]) ).

thf(zip_derived_cl195,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl267,plain,
    ( ( ( cons @ sk__51 @ nil )
      = sk__47 )
   <= ( ( cons @ sk__51 @ nil )
      = sk__49 ) ),
    inference(demod,[status(thm)],[zip_derived_cl215,zip_derived_cl195]) ).

thf(zip_derived_cl199,plain,
    ( ( memberP @ sk__50 @ sk__51 )
    | ( nil = sk__49 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('0',plain,
    ( ( memberP @ sk__50 @ sk__51 )
    | ( nil = sk__49 ) ),
    inference(split,[status(esa)],[zip_derived_cl199]) ).

thf(zip_derived_cl203,plain,
    ( ( ssItem @ sk__51 )
    | ( nil = sk__49 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('1',plain,
    ( ( ssItem @ sk__51 )
    | ( nil = sk__49 ) ),
    inference(split,[status(esa)],[zip_derived_cl203]) ).

thf(zip_derived_cl197,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ( sk__51 = X0 )
      | ~ ( memberP @ sk__50 @ X0 )
      | ~ ( leq @ X0 @ sk__51 )
      | ( nil = sk__49 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl210,plain,
    ( ( nil = sk__49 )
   <= ( nil = sk__49 ) ),
    inference(split,[status(esa)],[zip_derived_cl197]) ).

thf(zip_derived_cl195_001,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl228,plain,
    ( ( sk__47 = nil )
   <= ( nil = sk__49 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl210,zip_derived_cl195]) ).

thf(zip_derived_cl193_002,plain,
    memberP @ sk__47 @ sk__52,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl259,plain,
    ( ( memberP @ nil @ sk__52 )
   <= ( nil = sk__49 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl228,zip_derived_cl193]) ).

thf(zip_derived_cl196,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ( sk__51 = X0 )
      | ~ ( memberP @ sk__50 @ X0 )
      | ~ ( leq @ X0 @ sk__51 )
      | ( nil = sk__50 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl208,plain,
    ( ( nil = sk__50 )
   <= ( nil = sk__50 ) ),
    inference(split,[status(esa)],[zip_derived_cl196]) ).

thf(zip_derived_cl204,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl233,plain,
    ( ( sk__48 = nil )
   <= ( nil = sk__50 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl208,zip_derived_cl204]) ).

thf(zip_derived_cl192_003,plain,
    ~ ( memberP @ sk__48 @ sk__52 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl234,plain,
    ( ~ ( memberP @ nil @ sk__52 )
   <= ( nil = sk__50 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl233,zip_derived_cl192]) ).

thf('2',plain,
    ( ( nil != sk__49 )
    | ( nil != sk__50 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl259,zip_derived_cl234]) ).

thf(zip_derived_cl208_004,plain,
    ( ( nil = sk__50 )
   <= ( nil = sk__50 ) ),
    inference(split,[status(esa)],[zip_derived_cl196]) ).

thf(zip_derived_cl198,plain,
    ( ( memberP @ sk__50 @ sk__51 )
    | ( nil = sk__50 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl211,plain,
    ( ( memberP @ sk__50 @ sk__51 )
   <= ( memberP @ sk__50 @ sk__51 ) ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl223,plain,
    ( ( memberP @ nil @ sk__51 )
   <= ( ( nil = sk__50 )
      & ( memberP @ sk__50 @ sk__51 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl208,zip_derived_cl211]) ).

thf(ax38,axiom,
    ! [U: $i] :
      ( ( ssItem @ U )
     => ~ ( memberP @ nil @ U ) ) ).

thf(zip_derived_cl113,plain,
    ! [X0: $i] :
      ( ~ ( memberP @ nil @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(cnf,[status(esa)],[ax38]) ).

thf(zip_derived_cl238,plain,
    ( ~ ( ssItem @ sk__51 )
   <= ( ( nil = sk__50 )
      & ( memberP @ sk__50 @ sk__51 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl113]) ).

thf(zip_derived_cl202,plain,
    ( ( ssItem @ sk__51 )
    | ( nil = sk__50 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl219,plain,
    ( ( ssItem @ sk__51 )
   <= ( ssItem @ sk__51 ) ),
    inference(split,[status(esa)],[zip_derived_cl202]) ).

thf('3',plain,
    ( ( nil != sk__50 )
    | ~ ( memberP @ sk__50 @ sk__51 )
    | ~ ( ssItem @ sk__51 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl238,zip_derived_cl219]) ).

thf('4',plain,
    ( ( ( cons @ sk__51 @ nil )
      = sk__49 )
    | ( nil = sk__50 ) ),
    inference(split,[status(esa)],[zip_derived_cl200]) ).

thf('5',plain,
    ( ( cons @ sk__51 @ nil )
    = sk__49 ),
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4']) ).

thf(zip_derived_cl268,plain,
    ( ( cons @ sk__51 @ nil )
    = sk__47 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl267,'5']) ).

thf(ax37,axiom,
    ! [U: $i] :
      ( ( ssItem @ U )
     => ! [V: $i] :
          ( ( ssItem @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ( ( memberP @ ( cons @ V @ W ) @ U )
              <=> ( ( U = V )
                  | ( memberP @ W @ U ) ) ) ) ) ) ).

thf(zip_derived_cl110,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssItem @ X0 )
      | ~ ( memberP @ ( cons @ X0 @ X1 ) @ X2 )
      | ( X2 = X0 )
      | ( memberP @ X1 @ X2 )
      | ~ ( ssList @ X1 )
      | ~ ( ssItem @ X2 ) ),
    inference(cnf,[status(esa)],[ax37]) ).

thf(zip_derived_cl2183,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ sk__51 )
      | ~ ( memberP @ sk__47 @ X0 )
      | ( X0 = sk__51 )
      | ( memberP @ nil @ X0 )
      | ~ ( ssList @ nil )
      | ~ ( ssItem @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl110]) ).

thf(zip_derived_cl219_005,plain,
    ( ( ssItem @ sk__51 )
   <= ( ssItem @ sk__51 ) ),
    inference(split,[status(esa)],[zip_derived_cl202]) ).

thf('6',plain,
    ( ( ssItem @ sk__51 )
    | ( nil = sk__50 ) ),
    inference(split,[status(esa)],[zip_derived_cl202]) ).

thf('7',plain,
    ssItem @ sk__51,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','6']) ).

thf(zip_derived_cl269,plain,
    ssItem @ sk__51,
    inference(simpl_trail,[status(thm)],[zip_derived_cl219,'7']) ).

thf(ax17,axiom,
    ssList @ nil ).

thf(zip_derived_cl83,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl2190,plain,
    ! [X0: $i] :
      ( ~ ( memberP @ sk__47 @ X0 )
      | ( X0 = sk__51 )
      | ( memberP @ nil @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2183,zip_derived_cl269,zip_derived_cl83]) ).

thf(zip_derived_cl113_006,plain,
    ! [X0: $i] :
      ( ~ ( memberP @ nil @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(cnf,[status(esa)],[ax38]) ).

thf(zip_derived_cl2203,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ( X0 = sk__51 )
      | ~ ( memberP @ sk__47 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2190,zip_derived_cl113]) ).

thf(zip_derived_cl2207,plain,
    ( ~ ( ssItem @ sk__52 )
    | ( sk__52 = sk__51 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl2203]) ).

thf(zip_derived_cl194,plain,
    ssItem @ sk__52,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2210,plain,
    sk__52 = sk__51,
    inference(demod,[status(thm)],[zip_derived_cl2207,zip_derived_cl194]) ).

thf(zip_derived_cl204_007,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl211_008,plain,
    ( ( memberP @ sk__50 @ sk__51 )
   <= ( memberP @ sk__50 @ sk__51 ) ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf(zip_derived_cl232,plain,
    ( ( memberP @ sk__48 @ sk__51 )
   <= ( memberP @ sk__50 @ sk__51 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl204,zip_derived_cl211]) ).

thf('8',plain,
    ( ( memberP @ sk__50 @ sk__51 )
    | ( nil = sk__50 ) ),
    inference(split,[status(esa)],[zip_derived_cl198]) ).

thf('9',plain,
    memberP @ sk__50 @ sk__51,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','8']) ).

thf(zip_derived_cl271,plain,
    memberP @ sk__48 @ sk__51,
    inference(simpl_trail,[status(thm)],[zip_derived_cl232,'9']) ).

thf(zip_derived_cl2214,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl192,zip_derived_cl2210,zip_derived_cl271]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SWC392+1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rFiuWwZhee true
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Aug 28 16:43:00 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.55/0.65  % Total configuration time : 435
% 0.55/0.65  % Estimated wc time : 1092
% 0.55/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72  % /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
% 0.56/0.73  % /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
% 0.57/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 4.22/1.20  % Solved by fo/fo1_av.sh.
% 4.22/1.20  % done 573 iterations in 0.453s
% 4.22/1.20  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.22/1.20  % SZS output start Refutation
% See solution above
% 4.22/1.20  
% 4.22/1.20  
% 4.22/1.20  % Terminating...
% 4.66/1.25  % Runner terminated.
% 4.66/1.26  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------