TSTP Solution File: SWV390+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV390+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.vpvvh3F1De true

% Computer : n021.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 00:09:31 EDT 2023

% Result   : Theorem 0.63s 1.04s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   36 (   8 unt;  15 typ;   0 def)
%            Number of atoms       :   40 (   2 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  215 (  17   ~;  13   |;   0   &; 179   @)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   19 (  19   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   6 con; 0-3 aty)
%            Number of variables   :   64 (   0   ^;  64   !;   0   ?;  64   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__5_type,type,
    sk__5: $i ).

thf(check_cpq_type,type,
    check_cpq: $i > $o ).

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

thf(insert_cpq_type,type,
    insert_cpq: $i > $i > $i ).

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

thf(less_than_type,type,
    less_than: $i > $i > $o ).

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

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

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

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

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

thf(triple_type,type,
    triple: $i > $i > $i > $i ).

thf(bottom_type,type,
    bottom: $i ).

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

thf(insert_pqp_type,type,
    insert_pqp: $i > $i > $i ).

thf(l26_co,conjecture,
    ! [U: $i,V: $i,W: $i] :
      ( ~ ( check_cpq @ ( triple @ U @ V @ W ) )
     => ! [X: $i] :
          ~ ( check_cpq @ ( insert_cpq @ ( triple @ U @ V @ W ) @ X ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i,V: $i,W: $i] :
        ( ~ ( check_cpq @ ( triple @ U @ V @ W ) )
       => ! [X: $i] :
            ~ ( check_cpq @ ( insert_cpq @ ( triple @ U @ V @ W ) @ X ) ) ),
    inference('cnf.neg',[status(esa)],[l26_co]) ).

thf(zip_derived_cl53,plain,
    ~ ( check_cpq @ ( triple @ sk__2 @ sk__3 @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(l26_li4142,axiom,
    ! [U: $i,V: $i,W: $i] :
      ( ( check_cpq @ ( triple @ U @ V @ W ) )
    <=> ! [X: $i,Y: $i] :
          ( ( pair_in_list @ V @ X @ Y )
         => ( less_than @ Y @ X ) ) ) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( check_cpq @ ( triple @ X0 @ X1 @ X2 ) )
      | ( pair_in_list @ X1 @ ( sk_ @ X1 ) @ ( sk__1 @ X1 ) ) ),
    inference(cnf,[status(esa)],[l26_li4142]) ).

thf(zip_derived_cl54,plain,
    check_cpq @ ( insert_cpq @ ( triple @ sk__2 @ sk__3 @ sk__4 ) @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax42,axiom,
    ! [U: $i,V: $i,W: $i,X: $i] :
      ( ( insert_cpq @ ( triple @ U @ V @ W ) @ X )
      = ( triple @ ( insert_pqp @ U @ X ) @ ( insert_slb @ V @ ( pair @ X @ bottom ) ) @ W ) ) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( insert_cpq @ ( triple @ X0 @ X2 @ X3 ) @ X1 )
      = ( triple @ ( insert_pqp @ X0 @ X1 ) @ ( insert_slb @ X2 @ ( pair @ X1 @ bottom ) ) @ X3 ) ),
    inference(cnf,[status(esa)],[ax42]) ).

thf(ax37,axiom,
    ! [U: $i,V: $i,W: $i,X: $i,Y: $i] :
      ( ( less_than @ Y @ X )
     => ( ( check_cpq @ ( triple @ U @ ( insert_slb @ V @ ( pair @ X @ Y ) ) @ W ) )
      <=> ( check_cpq @ ( triple @ U @ V @ W ) ) ) ) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( check_cpq @ ( triple @ X0 @ ( insert_slb @ X1 @ ( pair @ X2 @ X3 ) ) @ X4 ) )
      | ( check_cpq @ ( triple @ X0 @ X1 @ X4 ) )
      | ~ ( less_than @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ax37]) ).

thf(zip_derived_cl299,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( check_cpq @ ( insert_cpq @ ( triple @ X3 @ X2 @ X1 ) @ X0 ) )
      | ( check_cpq @ ( triple @ ( insert_pqp @ X3 @ X0 ) @ X2 @ X1 ) )
      | ~ ( less_than @ bottom @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl32]) ).

thf(bottom_smallest,axiom,
    ! [U: $i] : ( less_than @ bottom @ U ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] : ( less_than @ bottom @ X0 ),
    inference(cnf,[status(esa)],[bottom_smallest]) ).

thf(zip_derived_cl303,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( check_cpq @ ( insert_cpq @ ( triple @ X3 @ X2 @ X1 ) @ X0 ) )
      | ( check_cpq @ ( triple @ ( insert_pqp @ X3 @ X0 ) @ X2 @ X1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl299,zip_derived_cl6]) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( pair_in_list @ X0 @ X1 @ X2 )
      | ( less_than @ X2 @ X1 )
      | ~ ( check_cpq @ ( triple @ X3 @ X0 @ X4 ) ) ),
    inference(cnf,[status(esa)],[l26_li4142]) ).

thf(zip_derived_cl434,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( check_cpq @ ( insert_cpq @ ( triple @ X3 @ X1 @ X0 ) @ X2 ) )
      | ~ ( pair_in_list @ X1 @ X5 @ X4 )
      | ( less_than @ X4 @ X5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl303,zip_derived_cl50]) ).

thf(zip_derived_cl551,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( pair_in_list @ sk__3 @ X1 @ X0 )
      | ( less_than @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl434]) ).

thf(zip_derived_cl557,plain,
    ! [X0: $i,X1: $i] :
      ( ( check_cpq @ ( triple @ X1 @ sk__3 @ X0 ) )
      | ( less_than @ ( sk__1 @ sk__3 ) @ ( sk_ @ sk__3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl551]) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( check_cpq @ ( triple @ X0 @ X1 @ X2 ) )
      | ~ ( less_than @ ( sk__1 @ X1 ) @ ( sk_ @ X1 ) ) ),
    inference(cnf,[status(esa)],[l26_li4142]) ).

thf(zip_derived_cl579,plain,
    ! [X0: $i,X1: $i] : ( check_cpq @ ( triple @ X1 @ sk__3 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl557,zip_derived_cl51]) ).

thf(zip_derived_cl580,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl579]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV390+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vpvvh3F1De true
% 0.14/0.36  % Computer : n021.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Tue Aug 29 04:15:14 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.57/0.68  % Total configuration time : 435
% 0.57/0.68  % Estimated wc time : 1092
% 0.57/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.60/0.81  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.60/0.82  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.60/0.82  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.61/0.82  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.61/0.83  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.61/0.83  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.61/0.83  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.63/1.04  % Solved by fo/fo6_bce.sh.
% 0.63/1.04  % BCE start: 55
% 0.63/1.04  % BCE eliminated: 0
% 0.63/1.04  % PE start: 55
% 0.63/1.04  logic: eq
% 0.63/1.04  % PE eliminated: 6
% 0.63/1.04  % done 98 iterations in 0.192s
% 0.63/1.04  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.63/1.04  % SZS output start Refutation
% See solution above
% 0.63/1.04  
% 0.63/1.04  
% 0.63/1.04  % Terminating...
% 0.64/1.11  % Runner terminated.
% 2.28/1.14  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------