TSTP Solution File: SWC050+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC050+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.jx82RwmXje true

% Computer : n031.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 21:28:47 EDT 2023

% Result   : Theorem 1.21s 0.80s
% Output   : Refutation 1.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   45 (  15 unt;   9 typ;   0 def)
%            Number of atoms       :   96 (  13 equ;   0 cnn)
%            Maximal formula atoms :   17 (   2 avg)
%            Number of connectives :  244 (  40   ~;  42   |;   8   &; 144   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   15 (   0   ^;  13   !;   2   ?;  15   :)

% Comments : 
%------------------------------------------------------------------------------
thf(nil_type,type,
    nil: $i ).

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

thf(rearsegP_type,type,
    rearsegP: $i > $i > $o ).

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

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

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

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

thf(sk__9_type,type,
    sk__9: $i ).

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

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

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

thf(zip_derived_cl46,plain,
    ( ( neq @ sk__9 @ nil )
    | ( neq @ sk__6 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl47,plain,
    ( ( neq @ sk__9 @ nil )
    | ~ ( neq @ sk__8 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl52,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl61,plain,
    ( ( neq @ sk__9 @ nil )
    | ~ ( neq @ sk__6 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl52]) ).

thf(zip_derived_cl72,plain,
    neq @ sk__9 @ nil,
    inference(clc,[status(thm)],[zip_derived_cl46,zip_derived_cl61]) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X0 @ nil )
      | ~ ( rearsegP @ sk__6 @ X0 )
      | ~ ( rearsegP @ sk__5 @ X0 )
      | ~ ( neq @ sk__8 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl52_001,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl71,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X0 @ nil )
      | ~ ( rearsegP @ sk__6 @ X0 )
      | ~ ( rearsegP @ sk__5 @ X0 )
      | ~ ( neq @ sk__6 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl52]) ).

thf(zip_derived_cl40,plain,
    ( ( neq @ sk__6 @ nil )
    | ( neq @ sk__6 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl146,plain,
    neq @ sk__6 @ nil,
    inference(simplify,[status(thm)],[zip_derived_cl40]) ).

thf(zip_derived_cl147,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X0 @ nil )
      | ~ ( rearsegP @ sk__6 @ X0 )
      | ~ ( rearsegP @ sk__5 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl146]) ).

thf(zip_derived_cl149,plain,
    ( ~ ( rearsegP @ sk__5 @ sk__9 )
    | ~ ( rearsegP @ sk__6 @ sk__9 )
    | ~ ( ssList @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl147]) ).

thf(zip_derived_cl51,plain,
    ( ( rearsegP @ sk__7 @ sk__9 )
    | ~ ( neq @ sk__8 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl39,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl52_002,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl67,plain,
    ( ( rearsegP @ sk__5 @ sk__9 )
    | ~ ( neq @ sk__6 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl39,zip_derived_cl52]) ).

thf(zip_derived_cl50,plain,
    ( ( rearsegP @ sk__7 @ sk__9 )
    | ( neq @ sk__6 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl39_003,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl66,plain,
    ( ( rearsegP @ sk__5 @ sk__9 )
    | ( neq @ sk__6 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl39]) ).

thf(zip_derived_cl68,plain,
    rearsegP @ sk__5 @ sk__9,
    inference(clc,[status(thm)],[zip_derived_cl67,zip_derived_cl66]) ).

thf(zip_derived_cl48,plain,
    ( ( rearsegP @ sk__8 @ sk__9 )
    | ( neq @ sk__6 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl52_004,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl64,plain,
    ( ( rearsegP @ sk__6 @ sk__9 )
    | ( neq @ sk__6 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl52]) ).

thf(zip_derived_cl49,plain,
    ( ( rearsegP @ sk__8 @ sk__9 )
    | ~ ( neq @ sk__8 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl52_005,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl52_006,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl62,plain,
    ( ( rearsegP @ sk__6 @ sk__9 )
    | ~ ( neq @ sk__6 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl52,zip_derived_cl52]) ).

thf(zip_derived_cl65,plain,
    rearsegP @ sk__6 @ sk__9,
    inference(clc,[status(thm)],[zip_derived_cl64,zip_derived_cl62]) ).

thf(zip_derived_cl44,plain,
    ( ( ssList @ sk__9 )
    | ( neq @ sk__6 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl45,plain,
    ( ( ssList @ sk__9 )
    | ~ ( neq @ sk__8 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl52_007,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57,plain,
    ( ( ssList @ sk__9 )
    | ~ ( neq @ sk__6 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl52]) ).

thf(zip_derived_cl63,plain,
    ssList @ sk__9,
    inference(clc,[status(thm)],[zip_derived_cl44,zip_derived_cl57]) ).

thf(zip_derived_cl151,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl149,zip_derived_cl68,zip_derived_cl65,zip_derived_cl63]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWC050+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jx82RwmXje true
% 0.15/0.35  % Computer : n031.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Mon Aug 28 18:07:25 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.35  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.82/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.21/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.21/0.80  % Solved by fo/fo7.sh.
% 1.21/0.80  % done 48 iterations in 0.024s
% 1.21/0.80  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.21/0.80  % SZS output start Refutation
% See solution above
% 1.21/0.80  
% 1.21/0.80  
% 1.21/0.80  % Terminating...
% 1.57/0.86  % Runner terminated.
% 1.57/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------