TSTP Solution File: SWC210+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC210+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.dqq3aKr7UO true

% Computer : n029.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 21:29:54 EDT 2023

% Result   : Theorem 0.57s 0.83s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   36 (  14 unt;   8 typ;   0 def)
%            Number of atoms       :   65 (  17 equ;   0 cnn)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  140 (  33   ~;  24   |;   2   &;  70   @)
%                                         (   1 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 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   :   12 (   0   ^;  12   !;   0   ?;  12   :)

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

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

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

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

thf(zip_derived_cl245,plain,
    ( ~ ( neq @ sk__5 @ nil )
    | ~ ( neq @ sk__6 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl40]) ).

thf(zip_derived_cl249,plain,
    ~ ( neq @ sk__5 @ nil ),
    inference(clc,[status(thm)],[zip_derived_cl38,zip_derived_cl245]) ).

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

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl290,plain,
    ( ~ ( ssList @ sk__5 )
    | ( sk__5 = nil )
    | ~ ( ssList @ nil ) ),
    inference('sup+',[status(thm)],[zip_derived_cl249,zip_derived_cl9]) ).

thf(zip_derived_cl31,plain,
    ssList @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax17,axiom,
    ssList @ nil ).

thf(zip_derived_cl11,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl292,plain,
    sk__5 = nil,
    inference(demod,[status(thm)],[zip_derived_cl290,zip_derived_cl31,zip_derived_cl11]) ).

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

thf(ax39,axiom,
    ~ ( singletonP @ nil ) ).

thf(zip_derived_cl22,plain,
    ~ ( singletonP @ nil ),
    inference(cnf,[status(esa)],[ax39]) ).

thf(zip_derived_cl236,plain,
    ( ( sk__7 != nil )
    | ( neq @ sk__6 @ nil ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl36,zip_derived_cl22]) ).

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

thf(zip_derived_cl246,plain,
    ( ( sk__5 != nil )
    | ( neq @ sk__6 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl236,zip_derived_cl33]) ).

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

thf(zip_derived_cl22_001,plain,
    ~ ( singletonP @ nil ),
    inference(cnf,[status(esa)],[ax39]) ).

thf(zip_derived_cl241,plain,
    ( ( sk__7 != nil )
    | ~ ( neq @ sk__8 @ nil ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl37,zip_derived_cl22]) ).

thf(zip_derived_cl33_002,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl40_003,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl242,plain,
    ( ( sk__5 != nil )
    | ~ ( neq @ sk__6 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl241,zip_derived_cl33,zip_derived_cl40]) ).

thf(zip_derived_cl247,plain,
    sk__5 != nil,
    inference(clc,[status(thm)],[zip_derived_cl246,zip_derived_cl242]) ).

thf(zip_derived_cl293,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl292,zip_derived_cl247]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWC210+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.dqq3aKr7UO true
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Aug 28 17:13:56 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.54/0.67  % Total configuration time : 435
% 0.54/0.67  % Estimated wc time : 1092
% 0.54/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.83  % Solved by fo/fo3_bce.sh.
% 0.57/0.83  % BCE start: 43
% 0.57/0.83  % BCE eliminated: 0
% 0.57/0.83  % PE start: 43
% 0.57/0.83  logic: eq
% 0.57/0.83  % PE eliminated: -3
% 0.57/0.83  % done 36 iterations in 0.022s
% 0.57/0.83  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.83  % SZS output start Refutation
% See solution above
% 0.57/0.83  
% 0.57/0.83  
% 0.57/0.83  % Terminating...
% 1.56/0.92  % Runner terminated.
% 1.56/0.92  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------