TSTP Solution File: SWV372+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV372+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.9AiCN0E77E true

% Computer : n019.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 00:09:26 EDT 2023

% Result   : Theorem 6.20s 1.60s
% Output   : Refutation 6.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   49 (  12 unt;  16 typ;   0 def)
%            Number of atoms       :   61 (  19 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  291 (  20   ~;  20   |;   1   &; 243   @)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   17 (  17   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  16 usr;   6 con; 0-3 aty)
%            Number of variables   :   71 (   0   ^;  71   !;   0   ?;  71   :)

% Comments : 
%------------------------------------------------------------------------------
thf(contains_cpq_type,type,
    contains_cpq: $i > $i > $o ).

thf(findmin_cpq_res_type,type,
    findmin_cpq_res: $i > $i ).

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

thf(bad_type,type,
    bad: $i ).

thf(sk__6_type,type,
    sk__6: $i ).

thf(contains_pq_type,type,
    contains_pq: $i > $i > $o ).

thf(ok_type,type,
    ok: $i > $o ).

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

thf(sk__5_type,type,
    sk__5: $i ).

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

thf(i_type,type,
    i: $i > $i ).

thf(create_slb_type,type,
    create_slb: $i ).

thf(findmin_pqp_res_type,type,
    findmin_pqp_res: $i > $i ).

thf(phi_type,type,
    phi: $i > $o ).

thf(findmin_cpq_eff_type,type,
    findmin_cpq_eff: $i > $i ).

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

thf(l8_co,conjecture,
    ! [U: $i,V: $i,W: $i] :
      ( ( phi @ ( findmin_cpq_eff @ ( triple @ U @ V @ W ) ) )
     => ( contains_pq @ ( i @ ( triple @ U @ V @ W ) ) @ ( findmin_cpq_res @ ( triple @ U @ V @ W ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i,V: $i,W: $i] :
        ( ( phi @ ( findmin_cpq_eff @ ( triple @ U @ V @ W ) ) )
       => ( contains_pq @ ( i @ ( triple @ U @ V @ W ) ) @ ( findmin_cpq_res @ ( triple @ U @ V @ W ) ) ) ),
    inference('cnf.neg',[status(esa)],[l8_co]) ).

thf(zip_derived_cl90,plain,
    phi @ ( findmin_cpq_eff @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl90_001,plain,
    phi @ ( findmin_cpq_eff @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax47,axiom,
    ! [U: $i,V: $i,W: $i,X: $i] :
      ( ( ( V != create_slb )
        & ~ ( contains_slb @ V @ ( findmin_pqp_res @ U ) ) )
     => ( ( findmin_cpq_eff @ ( triple @ U @ V @ W ) )
        = ( triple @ U @ ( update_slb @ V @ ( findmin_pqp_res @ U ) ) @ bad ) ) ) ).

thf(zip_derived_cl59,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( findmin_cpq_eff @ ( triple @ X0 @ X1 @ X2 ) )
        = ( triple @ X0 @ ( update_slb @ X1 @ ( findmin_pqp_res @ X0 ) ) @ bad ) )
      | ( contains_slb @ X1 @ ( findmin_pqp_res @ X0 ) )
      | ( X1 = create_slb ) ),
    inference(cnf,[status(esa)],[ax47]) ).

thf(l8_lX,axiom,
    ! [U: $i,V: $i,W: $i] :
      ( ~ ( ok @ ( triple @ U @ V @ W ) )
     => ~ ( phi @ ( triple @ U @ V @ W ) ) ) ).

thf(zip_derived_cl89,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( phi @ ( triple @ X0 @ X1 @ X2 ) )
      | ( ok @ ( triple @ X0 @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[l8_lX]) ).

thf(zip_derived_cl677,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = create_slb )
      | ( contains_slb @ X1 @ ( findmin_pqp_res @ X2 ) )
      | ~ ( phi @ ( findmin_cpq_eff @ ( triple @ X2 @ X1 @ X0 ) ) )
      | ( ok @ ( findmin_cpq_eff @ ( triple @ X2 @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl89]) ).

thf(zip_derived_cl59_002,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( findmin_cpq_eff @ ( triple @ X0 @ X1 @ X2 ) )
        = ( triple @ X0 @ ( update_slb @ X1 @ ( findmin_pqp_res @ X0 ) ) @ bad ) )
      | ( contains_slb @ X1 @ ( findmin_pqp_res @ X0 ) )
      | ( X1 = create_slb ) ),
    inference(cnf,[status(esa)],[ax47]) ).

thf(ax40,axiom,
    ! [U: $i,V: $i] :
      ~ ( ok @ ( triple @ U @ V @ bad ) ) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i,X1: $i] :
      ~ ( ok @ ( triple @ X0 @ X1 @ bad ) ),
    inference(cnf,[status(esa)],[ax40]) ).

thf(zip_derived_cl682,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = create_slb )
      | ( contains_slb @ X1 @ ( findmin_pqp_res @ X2 ) )
      | ~ ( ok @ ( findmin_cpq_eff @ ( triple @ X2 @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl52]) ).

thf(zip_derived_cl3289,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( phi @ ( findmin_cpq_eff @ ( triple @ X2 @ X1 @ X0 ) ) )
      | ( contains_slb @ X1 @ ( findmin_pqp_res @ X2 ) )
      | ( X1 = create_slb ) ),
    inference(clc,[status(thm)],[zip_derived_cl677,zip_derived_cl682]) ).

thf(zip_derived_cl3291,plain,
    ( ( contains_slb @ sk__5 @ ( findmin_pqp_res @ sk__4 ) )
    | ( sk__5 = create_slb ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl3289]) ).

thf(ax39,axiom,
    ! [U: $i,V: $i,W: $i,X: $i] :
      ( ( contains_cpq @ ( triple @ U @ V @ W ) @ X )
    <=> ( contains_slb @ V @ X ) ) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( contains_cpq @ ( triple @ X0 @ X1 @ X2 ) @ X3 )
      | ~ ( contains_slb @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[ax39]) ).

thf(l8_li56,axiom,
    ! [U: $i,V: $i,W: $i,X: $i] :
      ( ( contains_cpq @ ( triple @ U @ V @ W ) @ X )
    <=> ( contains_pq @ ( i @ ( triple @ U @ V @ W ) ) @ X ) ) ).

thf(zip_derived_cl86,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( contains_pq @ ( i @ ( triple @ X0 @ X1 @ X2 ) ) @ X3 )
      | ~ ( contains_cpq @ ( triple @ X0 @ X1 @ X2 ) @ X3 ) ),
    inference(cnf,[status(esa)],[l8_li56]) ).

thf(zip_derived_cl568,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( contains_slb @ X2 @ X0 )
      | ( contains_pq @ ( i @ ( triple @ X3 @ X2 @ X1 ) ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl86]) ).

thf(ax51,axiom,
    ! [U: $i,V: $i,W: $i,X: $i] :
      ( ( V != create_slb )
     => ( ( findmin_cpq_res @ ( triple @ U @ V @ W ) )
        = ( findmin_pqp_res @ U ) ) ) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( findmin_cpq_res @ ( triple @ X0 @ X1 @ X2 ) )
        = ( findmin_pqp_res @ X0 ) )
      | ( X1 = create_slb ) ),
    inference(cnf,[status(esa)],[ax51]) ).

thf(zip_derived_cl91,plain,
    ~ ( contains_pq @ ( i @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) @ ( findmin_cpq_res @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl492,plain,
    ( ( sk__5 = create_slb )
    | ~ ( contains_pq @ ( i @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) @ ( findmin_pqp_res @ sk__4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl91]) ).

thf(zip_derived_cl574,plain,
    ( ~ ( contains_slb @ sk__5 @ ( findmin_pqp_res @ sk__4 ) )
    | ( sk__5 = create_slb ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl568,zip_derived_cl492]) ).

thf(zip_derived_cl3307,plain,
    sk__5 = create_slb,
    inference(clc,[status(thm)],[zip_derived_cl3291,zip_derived_cl574]) ).

thf(ax46,axiom,
    ! [U: $i,V: $i] :
      ( ( findmin_cpq_eff @ ( triple @ U @ create_slb @ V ) )
      = ( triple @ U @ create_slb @ bad ) ) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i,X1: $i] :
      ( ( findmin_cpq_eff @ ( triple @ X0 @ create_slb @ X1 ) )
      = ( triple @ X0 @ create_slb @ bad ) ),
    inference(cnf,[status(esa)],[ax46]) ).

thf(zip_derived_cl3308,plain,
    phi @ ( triple @ sk__4 @ create_slb @ bad ),
    inference(demod,[status(thm)],[zip_derived_cl90,zip_derived_cl3307,zip_derived_cl58]) ).

thf(zip_derived_cl89_003,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( phi @ ( triple @ X0 @ X1 @ X2 ) )
      | ( ok @ ( triple @ X0 @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[l8_lX]) ).

thf(zip_derived_cl3312,plain,
    ok @ ( triple @ sk__4 @ create_slb @ bad ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3308,zip_derived_cl89]) ).

thf(zip_derived_cl52_004,plain,
    ! [X0: $i,X1: $i] :
      ~ ( ok @ ( triple @ X0 @ X1 @ bad ) ),
    inference(cnf,[status(esa)],[ax40]) ).

thf(zip_derived_cl3313,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl3312,zip_derived_cl52]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV372+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9AiCN0E77E true
% 0.13/0.34  % Computer : n019.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 02:55:58 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.19/0.64  % Total configuration time : 435
% 0.19/0.64  % Estimated wc time : 1092
% 0.19/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 6.20/1.60  % Solved by fo/fo6_bce.sh.
% 6.20/1.60  % BCE start: 92
% 6.20/1.60  % BCE eliminated: 0
% 6.20/1.60  % PE start: 92
% 6.20/1.60  logic: eq
% 6.20/1.60  % PE eliminated: 14
% 6.20/1.60  % done 520 iterations in 0.876s
% 6.20/1.60  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.20/1.60  % SZS output start Refutation
% See solution above
% 6.20/1.60  
% 6.20/1.60  
% 6.20/1.60  % Terminating...
% 7.37/1.65  % Runner terminated.
% 7.37/1.66  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------