TSTP Solution File: SWC255+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC255+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.kdyllOMGql 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 21:30:16 EDT 2023

% Result   : Theorem 0.54s 0.74s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   26 (   6 unt;   8 typ;   0 def)
%            Number of atoms       :   50 (  13 equ;   0 cnn)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  114 (  26   ~;  22   |;   2   &;  56   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :    8 (   0   ^;   8   !;   0   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__8_type,type,
    sk__8: $i ).

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

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

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

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

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

thf(singletonP_type,type,
    singletonP: $i > $o ).

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 )
                        | ~ ( singletonP @ W )
                        | ( singletonP @ U ) )
                      & ( ~ ( 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 )
                          | ~ ( singletonP @ W )
                          | ( singletonP @ U ) )
                        & ( ~ ( neq @ V @ nil )
                          | ( neq @ X @ nil ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl37,plain,
    ( ( singletonP @ sk__7 )
    | ~ ( neq @ sk__8 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl39,plain,
    ( ~ ( singletonP @ sk__5 )
    | ~ ( neq @ sk__8 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl255,plain,
    ( ( sk__7 != sk__5 )
    | ~ ( neq @ sk__8 @ nil )
    | ~ ( neq @ sk__8 @ nil ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl37,zip_derived_cl39]) ).

thf(zip_derived_cl262,plain,
    ( ~ ( neq @ sk__8 @ nil )
    | ( sk__7 != sk__5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl255]) ).

thf(zip_derived_cl40,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl33,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl263,plain,
    ( ~ ( neq @ sk__6 @ nil )
    | ( sk__5 != sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl262,zip_derived_cl40,zip_derived_cl33]) ).

thf(zip_derived_cl264,plain,
    ~ ( neq @ sk__6 @ nil ),
    inference(simplify,[status(thm)],[zip_derived_cl263]) ).

thf(zip_derived_cl36,plain,
    ( ( singletonP @ sk__7 )
    | ( neq @ sk__6 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl38,plain,
    ( ~ ( singletonP @ sk__5 )
    | ( neq @ sk__6 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl241,plain,
    ( ( sk__7 != sk__5 )
    | ( neq @ sk__6 @ nil )
    | ( neq @ sk__6 @ nil ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl36,zip_derived_cl38]) ).

thf(zip_derived_cl278,plain,
    ( ( neq @ sk__6 @ nil )
    | ( sk__7 != sk__5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl241]) ).

thf(zip_derived_cl33_001,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl279,plain,
    ( ( neq @ sk__6 @ nil )
    | ( sk__5 != sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl278,zip_derived_cl33]) ).

thf(zip_derived_cl280,plain,
    neq @ sk__6 @ nil,
    inference(simplify,[status(thm)],[zip_derived_cl279]) ).

thf(zip_derived_cl281,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl264,zip_derived_cl280]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWC255+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.kdyllOMGql true
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Mon Aug 28 15:43:28 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % Running in FO mode
% 0.47/0.63  % Total configuration time : 435
% 0.47/0.63  % Estimated wc time : 1092
% 0.47/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74  % Solved by fo/fo3_bce.sh.
% 0.54/0.74  % BCE start: 43
% 0.54/0.74  % BCE eliminated: 0
% 0.54/0.74  % PE start: 43
% 0.54/0.74  logic: eq
% 0.54/0.74  % PE eliminated: -7
% 0.54/0.74  % done 26 iterations in 0.018s
% 0.54/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.74  % SZS output start Refutation
% See solution above
% 0.54/0.74  
% 0.54/0.74  
% 0.54/0.74  % Terminating...
% 0.56/0.84  % Runner terminated.
% 0.56/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------