TSTP Solution File: SWC399+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC399+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.OtXDT6FVz7 true

% Computer : n013.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 21:31:19 EDT 2023

% Result   : Theorem 0.60s 0.90s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   42 (  13 unt;  14 typ;   0 def)
%            Number of atoms       :  120 (  22 equ;   0 cnn)
%            Maximal formula atoms :   25 (   4 avg)
%            Number of connectives :  347 (  58   ~;  60   |;  18   &; 197   @)
%                                         (   1 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   9 con; 0-2 aty)
%            Number of variables   :   46 (   0   ^;  34   !;  12   ?;  46   :)

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

thf(sk__13_type,type,
    sk__13: $i ).

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

thf(sk__15_type,type,
    sk__15: $i ).

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

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

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

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

thf(sk__16_type,type,
    sk__16: $i ).

thf(sk__14_type,type,
    sk__14: $i ).

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

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

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

thf(memberP_type,type,
    memberP: $i > $i > $o ).

thf(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ( ( nil = W )
                    & ( nil != X ) )
                  | ! [X7: $i] :
                      ( ( memberP @ V @ X7 )
                      | ~ ( memberP @ U @ X7 )
                      | ~ ( ssItem @ X7 ) )
                  | ! [Y: $i] :
                      ( ( ssList @ Y )
                     => ! [Z: $i] :
                          ( ? [X4: $i] :
                              ( ? [X5: $i] :
                                  ( ? [X6: $i] :
                                      ( ( ( app @ X6 @ ( cons @ X4 @ nil ) )
                                        = W )
                                      & ( ssList @ X6 ) )
                                  & ( ( app @ ( cons @ X4 @ nil ) @ X5 )
                                    = Z )
                                  & ( ssList @ X5 ) )
                              & ( ssItem @ X4 ) )
                          | ? [X1: $i] :
                              ( ? [X2: $i] :
                                  ( ? [X3: $i] :
                                      ( ( ( app @ ( cons @ X1 @ nil ) @ X3 )
                                        = W )
                                      & ( ssList @ X3 ) )
                                  & ( ( app @ X2 @ ( cons @ X1 @ nil ) )
                                    = Y )
                                  & ( ssList @ X2 ) )
                              & ( ssItem @ X1 ) )
                          | ~ ( equalelemsP @ W )
                          | ( ( app @ ( app @ Y @ W ) @ Z )
                           != X )
                          | ~ ( ssList @ Z ) ) )
                  | ( U != W )
                  | ( V != X )
                  | ~ ( ssList @ X ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i] :
        ( ( ssList @ U )
       => ! [V: $i] :
            ( ( ssList @ V )
           => ! [W: $i] :
                ( ( ssList @ W )
               => ! [X: $i] :
                    ( ( ( nil = W )
                      & ( nil != X ) )
                    | ! [X7: $i] :
                        ( ( memberP @ V @ X7 )
                        | ~ ( memberP @ U @ X7 )
                        | ~ ( ssItem @ X7 ) )
                    | ! [Y: $i] :
                        ( ( ssList @ Y )
                       => ! [Z: $i] :
                            ( ? [X4: $i] :
                                ( ? [X5: $i] :
                                    ( ? [X6: $i] :
                                        ( ( ( app @ X6 @ ( cons @ X4 @ nil ) )
                                          = W )
                                        & ( ssList @ X6 ) )
                                    & ( ( app @ ( cons @ X4 @ nil ) @ X5 )
                                      = Z )
                                    & ( ssList @ X5 ) )
                                & ( ssItem @ X4 ) )
                            | ? [X1: $i] :
                                ( ? [X2: $i] :
                                    ( ? [X3: $i] :
                                        ( ( ( app @ ( cons @ X1 @ nil ) @ X3 )
                                          = W )
                                        & ( ssList @ X3 ) )
                                    & ( ( app @ X2 @ ( cons @ X1 @ nil ) )
                                      = Y )
                                    & ( ssList @ X2 ) )
                                & ( ssItem @ X1 ) )
                            | ~ ( equalelemsP @ W )
                            | ( ( app @ ( app @ Y @ W ) @ Z )
                             != X )
                            | ~ ( ssList @ Z ) ) )
                    | ( U != W )
                    | ( V != X )
                    | ~ ( ssList @ X ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl45,plain,
    ~ ( memberP @ sk__11 @ sk__16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax26,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ssList @ ( app @ U @ V ) ) ) ) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( ssList @ ( app @ X1 @ X0 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax26]) ).

thf(ax36,axiom,
    ! [U: $i] :
      ( ( ssItem @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ( ( memberP @ ( app @ V @ W ) @ U )
              <=> ( ( memberP @ V @ U )
                  | ( memberP @ W @ U ) ) ) ) ) ) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( memberP @ X1 @ X2 )
      | ( memberP @ ( app @ X0 @ X1 ) @ X2 )
      | ~ ( ssList @ X1 )
      | ~ ( ssItem @ X2 ) ),
    inference(cnf,[status(esa)],[ax36]) ).

thf(zip_derived_cl54,plain,
    ( ( app @ ( app @ sk__14 @ sk__12 ) @ sk__15 )
    = sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl48,plain,
    sk__10 = sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl56,plain,
    sk__11 = sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl356,plain,
    ( ( app @ ( app @ sk__14 @ sk__10 ) @ sk__15 )
    = sk__11 ),
    inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl48,zip_derived_cl56]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( memberP @ X0 @ X1 )
      | ( memberP @ ( app @ X0 @ X2 ) @ X1 )
      | ~ ( ssList @ X2 )
      | ~ ( ssItem @ X1 ) ),
    inference(cnf,[status(esa)],[ax36]) ).

thf(zip_derived_cl825,plain,
    ! [X0: $i] :
      ( ( memberP @ sk__11 @ X0 )
      | ~ ( ssItem @ X0 )
      | ~ ( ssList @ sk__15 )
      | ~ ( memberP @ ( app @ sk__14 @ sk__10 ) @ X0 )
      | ~ ( ssList @ ( app @ sk__14 @ sk__10 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl356,zip_derived_cl27]) ).

thf(zip_derived_cl55,plain,
    ssList @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl841,plain,
    ! [X0: $i] :
      ( ( memberP @ sk__11 @ X0 )
      | ~ ( ssItem @ X0 )
      | ~ ( memberP @ ( app @ sk__14 @ sk__10 ) @ X0 )
      | ~ ( ssList @ ( app @ sk__14 @ sk__10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl825,zip_derived_cl55]) ).

thf(zip_derived_cl1820,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ~ ( ssList @ sk__10 )
      | ~ ( memberP @ sk__10 @ X0 )
      | ~ ( ssList @ sk__14 )
      | ~ ( ssList @ ( app @ sk__14 @ sk__10 ) )
      | ~ ( ssItem @ X0 )
      | ( memberP @ sk__11 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl841]) ).

thf(zip_derived_cl43,plain,
    ssList @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl50,plain,
    ssList @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1823,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ~ ( memberP @ sk__10 @ X0 )
      | ~ ( ssList @ ( app @ sk__14 @ sk__10 ) )
      | ~ ( ssItem @ X0 )
      | ( memberP @ sk__11 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1820,zip_derived_cl43,zip_derived_cl50]) ).

thf(zip_derived_cl1824,plain,
    ! [X0: $i] :
      ( ( memberP @ sk__11 @ X0 )
      | ~ ( ssList @ ( app @ sk__14 @ sk__10 ) )
      | ~ ( memberP @ sk__10 @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1823]) ).

thf(zip_derived_cl1861,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__14 )
      | ~ ( ssList @ sk__10 )
      | ~ ( ssItem @ X0 )
      | ~ ( memberP @ sk__10 @ X0 )
      | ( memberP @ sk__11 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl1824]) ).

thf(zip_derived_cl50_001,plain,
    ssList @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl43_002,plain,
    ssList @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1863,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ~ ( memberP @ sk__10 @ X0 )
      | ( memberP @ sk__11 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1861,zip_derived_cl50,zip_derived_cl43]) ).

thf(zip_derived_cl1867,plain,
    ( ~ ( memberP @ sk__10 @ sk__16 )
    | ~ ( ssItem @ sk__16 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl45,zip_derived_cl1863]) ).

thf(zip_derived_cl46,plain,
    memberP @ sk__10 @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl47,plain,
    ssItem @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1868,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1867,zip_derived_cl46,zip_derived_cl47]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SWC399+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OtXDT6FVz7 true
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 16:38:31 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
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.55/0.66  % Total configuration time : 435
% 0.55/0.66  % Estimated wc time : 1092
% 0.55/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.60/0.90  % Solved by fo/fo3_bce.sh.
% 0.60/0.90  % BCE start: 59
% 0.60/0.90  % BCE eliminated: 0
% 0.60/0.90  % PE start: 59
% 0.60/0.90  logic: eq
% 0.60/0.90  % PE eliminated: 1
% 0.60/0.90  % done 316 iterations in 0.165s
% 0.60/0.90  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.60/0.90  % SZS output start Refutation
% See solution above
% 0.60/0.90  
% 0.60/0.90  
% 0.60/0.90  % Terminating...
% 0.60/0.98  % Runner terminated.
% 0.60/1.00  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------