TSTP Solution File: SWC041+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC041+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.z7ezM39bpW true

% Computer : n014.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 21:28:43 EDT 2023

% Result   : Theorem 0.20s 0.78s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   35 (  15 unt;  11 typ;   0 def)
%            Number of atoms       :   72 (  41 equ;   0 cnn)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  137 (  23   ~;  23   |;  11   &;  66   @)
%                                         (   1 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   22 (   0   ^;  16   !;   6   ?;  22   :)

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

thf(sk__10_type,type,
    sk__10: $i ).

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

thf(app_type,type,
    app: $i > $i > $i ).

thf(equalelemsP_type,type,
    equalelemsP: $i > $o ).

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

thf(sk__11_type,type,
    sk__11: $i ).

thf(sk__12_type,type,
    sk__12: $i ).

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

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

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

thf(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ( ssList @ X )
                 => ( ( nil != V )
                    | ( V != X )
                    | ( U != W )
                    | ( nil = U )
                    | ! [Y: $i] :
                        ( ( ssList @ Y )
                       => ( ( ( app @ W @ Y )
                           != X )
                          | ~ ( equalelemsP @ W )
                          | ? [Z: $i] :
                              ( ? [X1: $i] :
                                  ( ? [X2: $i] :
                                      ( ( ( app @ X2 @ ( cons @ Z @ nil ) )
                                        = W )
                                      & ( ssList @ X2 ) )
                                  & ( ( app @ ( cons @ Z @ nil ) @ X1 )
                                    = Y )
                                  & ( ssList @ X1 ) )
                              & ( ssItem @ Z ) ) ) )
                    | ( ( 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 )
                   => ( ( nil != V )
                      | ( V != X )
                      | ( U != W )
                      | ( nil = U )
                      | ! [Y: $i] :
                          ( ( ssList @ Y )
                         => ( ( ( app @ W @ Y )
                             != X )
                            | ~ ( equalelemsP @ W )
                            | ? [Z: $i] :
                                ( ? [X1: $i] :
                                    ( ? [X2: $i] :
                                        ( ( ( app @ X2 @ ( cons @ Z @ nil ) )
                                          = W )
                                        & ( ssList @ X2 ) )
                                    & ( ( app @ ( cons @ Z @ nil ) @ X1 )
                                      = Y )
                                    & ( ssList @ X1 ) )
                                & ( ssItem @ Z ) ) ) )
                      | ( ( nil != X )
                        & ( nil = W ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl39,plain,
    ( ( app @ sk__10 @ sk__12 )
    = sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl35,plain,
    sk__8 = sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl42,plain,
    sk__9 = sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36,plain,
    nil = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl219,plain,
    nil = sk__11,
    inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl36]) ).

thf(zip_derived_cl224,plain,
    ( ( app @ sk__8 @ sk__12 )
    = nil ),
    inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl35,zip_derived_cl219]) ).

thf(zip_derived_cl224_001,plain,
    ( ( app @ sk__8 @ sk__12 )
    = nil ),
    inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl35,zip_derived_cl219]) ).

thf(ax83,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( nil
              = ( app @ U @ V ) )
          <=> ( ( nil = V )
              & ( nil = U ) ) ) ) ) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( nil
       != ( app @ X1 @ X0 ) )
      | ( nil = X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax83]) ).

thf(zip_derived_cl227,plain,
    ( ( nil != nil )
    | ~ ( ssList @ sk__8 )
    | ( nil = sk__12 )
    | ~ ( ssList @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl224,zip_derived_cl28]) ).

thf(zip_derived_cl32,plain,
    ssList @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl38,plain,
    ssList @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl232,plain,
    ( ( nil != nil )
    | ( nil = sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl227,zip_derived_cl32,zip_derived_cl38]) ).

thf(zip_derived_cl233,plain,
    nil = sk__12,
    inference(simplify,[status(thm)],[zip_derived_cl232]) ).

thf(zip_derived_cl235,plain,
    ( ( app @ sk__8 @ nil )
    = nil ),
    inference(demod,[status(thm)],[zip_derived_cl224,zip_derived_cl233]) ).

thf(ax84,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( app @ U @ nil )
        = U ) ) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i] :
      ( ( ( app @ X0 @ nil )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax84]) ).

thf(zip_derived_cl237,plain,
    ( ( nil = sk__8 )
    | ~ ( ssList @ sk__8 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl235,zip_derived_cl31]) ).

thf(zip_derived_cl32_002,plain,
    ssList @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl240,plain,
    nil = sk__8,
    inference(demod,[status(thm)],[zip_derived_cl237,zip_derived_cl32]) ).

thf(zip_derived_cl34,plain,
    nil != sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl241,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl240,zip_derived_cl34]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWC041+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.z7ezM39bpW true
% 0.14/0.34  % Computer : n014.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % 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 17:10:30 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
% 0.20/0.64  % Total configuration time : 435
% 0.20/0.64  % Estimated wc time : 1092
% 0.20/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.78  % Solved by fo/fo3_bce.sh.
% 0.20/0.78  % BCE start: 45
% 0.20/0.78  % BCE eliminated: 0
% 0.20/0.78  % PE start: 45
% 0.20/0.78  logic: eq
% 0.20/0.78  % PE eliminated: 1
% 0.20/0.78  % done 24 iterations in 0.020s
% 0.20/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.78  % SZS output start Refutation
% See solution above
% 0.20/0.78  
% 0.20/0.78  
% 0.20/0.78  % Terminating...
% 1.74/0.85  % Runner terminated.
% 1.74/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------