TSTP Solution File: SWV412+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV412+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.J5BbGYVN9s true

% Computer : n032.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 0.17s 0.64s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   17 (   5 unt;   7 typ;   0 def)
%            Number of atoms       :   21 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   80 (   6   ~;   3   |;   5   &;  63   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   5 con; 0-3 aty)
%            Number of variables   :   17 (   0   ^;  17   !;   0   ?;  17   :)

% Comments : 
%------------------------------------------------------------------------------
thf(strictly_less_than_type,type,
    strictly_less_than: $i > $i > $o ).

thf(sk__2_type,type,
    sk__2: $i ).

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

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

thf(update_slb_type,type,
    update_slb: $i > $i > $i ).

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

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

thf(l48_co,conjecture,
    ! [U: $i,V: $i,W: $i,X: $i] :
      ( ( ( pair_in_list @ U @ V @ W )
        & ( strictly_less_than @ V @ X )
        & ( strictly_less_than @ W @ X ) )
     => ( pair_in_list @ ( update_slb @ U @ X ) @ V @ X ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i,V: $i,W: $i,X: $i] :
        ( ( ( pair_in_list @ U @ V @ W )
          & ( strictly_less_than @ V @ X )
          & ( strictly_less_than @ W @ X ) )
       => ( pair_in_list @ ( update_slb @ U @ X ) @ V @ X ) ),
    inference('cnf.neg',[status(esa)],[l48_co]) ).

thf(zip_derived_cl29,plain,
    pair_in_list @ sk_ @ sk__1 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(l48_li3839,axiom,
    ! [U: $i,V: $i,W: $i,X: $i] :
      ( ( ( pair_in_list @ U @ V @ W )
        & ( strictly_less_than @ W @ X ) )
     => ( pair_in_list @ ( update_slb @ U @ X ) @ V @ X ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( pair_in_list @ X0 @ X1 @ X2 )
      | ~ ( strictly_less_than @ X2 @ X3 )
      | ( pair_in_list @ ( update_slb @ X0 @ X3 ) @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[l48_li3839]) ).

thf(zip_derived_cl166,plain,
    ! [X0: $i] :
      ( ~ ( strictly_less_than @ sk__2 @ X0 )
      | ( pair_in_list @ ( update_slb @ sk_ @ X0 ) @ sk__1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl25]) ).

thf(zip_derived_cl26,plain,
    ~ ( pair_in_list @ ( update_slb @ sk_ @ sk__3 ) @ sk__1 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl201,plain,
    ~ ( strictly_less_than @ sk__2 @ sk__3 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl166,zip_derived_cl26]) ).

thf(zip_derived_cl27,plain,
    strictly_less_than @ sk__2 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl202,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl27]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem  : SWV412+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.11  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.J5BbGYVN9s true
% 0.11/0.31  % Computer : n032.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Tue Aug 29 08:59:16 EDT 2023
% 0.11/0.31  % CPUTime  : 
% 0.11/0.31  % Running portfolio for 300 s
% 0.11/0.31  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.31  % Number of cores: 8
% 0.11/0.32  % Python version: Python 3.6.8
% 0.11/0.32  % Running in FO mode
% 0.17/0.53  % Total configuration time : 435
% 0.17/0.53  % Estimated wc time : 1092
% 0.17/0.53  % Estimated cpu time (7 cpus) : 156.0
% 0.17/0.60  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.17/0.61  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.17/0.62  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.17/0.62  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.17/0.62  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.17/0.63  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.17/0.64  % Solved by fo/fo6_bce.sh.
% 0.17/0.64  % BCE start: 30
% 0.17/0.64  % BCE eliminated: 0
% 0.17/0.64  % PE start: 30
% 0.17/0.64  logic: eq
% 0.17/0.64  % PE eliminated: 1
% 0.17/0.64  % done 54 iterations in 0.028s
% 0.17/0.64  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.17/0.64  % SZS output start Refutation
% See solution above
% 0.17/0.64  
% 0.17/0.64  
% 0.17/0.64  % Terminating...
% 1.42/0.75  % Runner terminated.
% 1.44/0.76  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------