TSTP Solution File: SWV411+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV411+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.t7EQed7Psr true

% Computer : n004.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 : Fri Sep  1 00:09:36 EDT 2023

% Result   : Theorem 1.34s 0.76s
% Output   : Refutation 1.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   28 (   9 unt;   9 typ;   0 def)
%            Number of atoms       :   38 (   9 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  164 (  12   ~;  10   |;   1   &; 133   @)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :   49 (   0   ^;  45   !;   4   ?;  49   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__2_type,type,
    sk__2: $i ).

thf(pair_type,type,
    pair: $i > $i > $i ).

thf(sk__type,type,
    sk_: $i ).

thf(sk__4_type,type,
    sk__4: $i > $i ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(pair_in_list_type,type,
    pair_in_list: $i > $i > $i > $o ).

thf(sk__3_type,type,
    sk__3: $i ).

thf(contains_slb_type,type,
    contains_slb: $i > $i > $o ).

thf(insert_slb_type,type,
    insert_slb: $i > $i > $i ).

thf(ax23,axiom,
    ! [U: $i,V: $i,W: $i,X: $i,Y: $i] :
      ( ( pair_in_list @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W @ Y )
    <=> ( ( pair_in_list @ U @ W @ Y )
        | ( ( V = W )
          & ( X = Y ) ) ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( pair_in_list @ ( insert_slb @ X0 @ ( pair @ X1 @ X2 ) ) @ X3 @ X4 )
      | ( X1 != X3 )
      | ( X2 != X4 ) ),
    inference(cnf,[status(esa)],[ax23]) ).

thf(zip_derived_cl130,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 != X1 )
      | ( pair_in_list @ ( insert_slb @ X3 @ ( pair @ X2 @ X0 ) ) @ X2 @ X1 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl131,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( pair_in_list @ ( insert_slb @ X2 @ ( pair @ X1 @ X0 ) ) @ X1 @ X0 ),
    inference(eq_res,[status(thm)],[zip_derived_cl130]) ).

thf(l47_co,conjecture,
    ! [U: $i] :
      ( ! [V: $i] :
          ( ( contains_slb @ U @ V )
         => ? [W: $i] : ( pair_in_list @ U @ V @ W ) )
     => ! [X: $i,Y: $i,Z: $i] :
          ( ( contains_slb @ ( insert_slb @ U @ ( pair @ Y @ Z ) ) @ X )
         => ? [X1: $i] : ( pair_in_list @ ( insert_slb @ U @ ( pair @ Y @ Z ) ) @ X @ X1 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i] :
        ( ! [V: $i] :
            ( ( contains_slb @ U @ V )
           => ? [W: $i] : ( pair_in_list @ U @ V @ W ) )
       => ! [X: $i,Y: $i,Z: $i] :
            ( ( contains_slb @ ( insert_slb @ U @ ( pair @ Y @ Z ) ) @ X )
           => ? [X1: $i] : ( pair_in_list @ ( insert_slb @ U @ ( pair @ Y @ Z ) ) @ X @ X1 ) ) ),
    inference('cnf.neg',[status(esa)],[l47_co]) ).

thf(zip_derived_cl26,plain,
    ! [X1: $i] :
      ~ ( pair_in_list @ ( insert_slb @ sk_ @ ( pair @ sk__2 @ sk__3 ) ) @ sk__1 @ X1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl27,plain,
    contains_slb @ ( insert_slb @ sk_ @ ( pair @ sk__2 @ sk__3 ) ) @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax21,axiom,
    ! [U: $i,V: $i,W: $i,X: $i] :
      ( ( contains_slb @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W )
    <=> ( ( contains_slb @ U @ W )
        | ( V = W ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = X0 )
      | ( contains_slb @ X2 @ X0 )
      | ~ ( contains_slb @ ( insert_slb @ X2 @ ( pair @ X1 @ X3 ) ) @ X0 ) ),
    inference(cnf,[status(esa)],[ax21]) ).

thf(zip_derived_cl118,plain,
    ( ( sk__2 = sk__1 )
    | ( contains_slb @ sk_ @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl10]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i] :
      ( ( pair_in_list @ sk_ @ X0 @ ( sk__4 @ X0 ) )
      | ~ ( contains_slb @ sk_ @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( pair_in_list @ ( insert_slb @ X0 @ ( pair @ X1 @ X2 ) ) @ X3 @ X4 )
      | ~ ( pair_in_list @ X0 @ X3 @ X4 ) ),
    inference(cnf,[status(esa)],[ax23]) ).

thf(zip_derived_cl26_001,plain,
    ! [X1: $i] :
      ~ ( pair_in_list @ ( insert_slb @ sk_ @ ( pair @ sk__2 @ sk__3 ) ) @ sk__1 @ X1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136,plain,
    ! [X0: $i] :
      ~ ( pair_in_list @ sk_ @ sk__1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl26]) ).

thf(zip_derived_cl137,plain,
    ~ ( contains_slb @ sk_ @ sk__1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl136]) ).

thf(zip_derived_cl138,plain,
    sk__2 = sk__1,
    inference('s_sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl137]) ).

thf(zip_derived_cl139,plain,
    ! [X1: $i] :
      ~ ( pair_in_list @ ( insert_slb @ sk_ @ ( pair @ sk__1 @ sk__3 ) ) @ sk__1 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl138]) ).

thf(zip_derived_cl143,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl131,zip_derived_cl139]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV411+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.t7EQed7Psr true
% 0.13/0.34  % Computer : n004.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 : Tue Aug 29 09:16:52 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
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.00/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.34/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.34/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.34/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.34/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.34/0.76  % Solved by fo/fo6_bce.sh.
% 1.34/0.76  % BCE start: 28
% 1.34/0.76  % BCE eliminated: 0
% 1.34/0.76  % PE start: 28
% 1.34/0.76  logic: eq
% 1.34/0.76  % PE eliminated: 4
% 1.34/0.76  % done 36 iterations in 0.018s
% 1.34/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.34/0.76  % SZS output start Refutation
% See solution above
% 1.34/0.76  
% 1.34/0.76  
% 1.34/0.76  % Terminating...
% 1.60/0.84  % Runner terminated.
% 1.76/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------