TSTP Solution File: SWC385+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC385+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.u0TRTb5QeN true

% Computer : n018.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 21:31:13 EDT 2023

% Result   : Theorem 1.36s 0.79s
% Output   : Refutation 1.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   25 (   8 unt;   9 typ;   0 def)
%            Number of atoms       :   48 (  16 equ;   0 cnn)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  106 (  26   ~;  20   |;   4   &;  48   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :    8 (   0   ^;   8   !;   0   ?;   8   :)

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

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

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

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

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

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

thf(segmentP_type,type,
    segmentP: $i > $i > $o ).

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

thf(sk__10_type,type,
    sk__10: $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 )
                    | ~ ( segmentP @ X @ W )
                    | ( ~ ( singletonP @ W )
                      & ( neq @ X @ nil ) )
                    | ( ( singletonP @ U )
                      & ( segmentP @ V @ U ) ) ) ) ) ) ) ).

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

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

thf(zip_derived_cl47,plain,
    ( ( singletonP @ sk__9 )
    | ~ ( neq @ sk__10 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl44,plain,
    ( ~ ( singletonP @ sk__7 )
    | ~ ( segmentP @ sk__8 @ sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl317,plain,
    ( ( sk__9 != sk__7 )
    | ~ ( neq @ sk__10 @ nil )
    | ~ ( segmentP @ sk__8 @ sk__7 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl47,zip_derived_cl44]) ).

thf(zip_derived_cl343,plain,
    ( ( sk__8 != sk__10 )
    | ( nil != nil )
    | ~ ( segmentP @ sk__8 @ sk__7 )
    | ( sk__9 != sk__7 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl45,zip_derived_cl317]) ).

thf(zip_derived_cl370,plain,
    ( ( sk__9 != sk__7 )
    | ~ ( segmentP @ sk__8 @ sk__7 )
    | ( sk__8 != sk__10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl343]) ).

thf(zip_derived_cl46,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl48,plain,
    segmentP @ sk__10 @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl49,plain,
    sk__8 = sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl46_001,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl356,plain,
    segmentP @ sk__8 @ sk__7,
    inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl49,zip_derived_cl46]) ).

thf(zip_derived_cl49_002,plain,
    sk__8 = sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl371,plain,
    ( ( sk__7 != sk__7 )
    | ( sk__8 != sk__8 ) ),
    inference(demod,[status(thm)],[zip_derived_cl370,zip_derived_cl46,zip_derived_cl356,zip_derived_cl49]) ).

thf(zip_derived_cl372,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl371]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.15/0.15  % Problem  : SWC385+1 : TPTP v8.1.2. Released v2.4.0.
% 0.15/0.16  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.u0TRTb5QeN true
% 0.16/0.37  % Computer : n018.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Mon Aug 28 17:38:02 EDT 2023
% 0.16/0.37  % CPUTime  : 
% 0.16/0.37  % Running portfolio for 300 s
% 0.16/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.37  % Number of cores: 8
% 0.16/0.38  % Python version: Python 3.6.8
% 0.16/0.38  % Running in FO mode
% 0.23/0.68  % Total configuration time : 435
% 0.23/0.68  % Estimated wc time : 1092
% 0.23/0.68  % Estimated cpu time (7 cpus) : 156.0
% 1.05/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.05/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.05/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.36/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.36/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.36/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.36/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.36/0.79  % Solved by fo/fo3_bce.sh.
% 1.36/0.79  % BCE start: 52
% 1.36/0.79  % BCE eliminated: 0
% 1.36/0.79  % PE start: 52
% 1.36/0.79  logic: eq
% 1.36/0.79  % PE eliminated: -7
% 1.36/0.79  % done 26 iterations in 0.022s
% 1.36/0.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.36/0.79  % SZS output start Refutation
% See solution above
% 1.36/0.79  
% 1.36/0.79  
% 1.36/0.80  % Terminating...
% 1.80/0.88  % Runner terminated.
% 1.80/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------