TSTP Solution File: SWV373+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV373+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.9rBq0oLSTb 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 00:09:27 EDT 2023

% Result   : Theorem 0.21s 0.74s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   36 (  10 unt;  14 typ;   0 def)
%            Number of atoms       :   38 (  15 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  193 (  20   ~;   9   |;   2   &; 157   @)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   6 con; 0-3 aty)
%            Number of variables   :   47 (   0   ^;  47   !;   0   ?;  47   :)

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

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

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

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

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

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

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

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

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

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

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

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

thf(lookup_slb_type,type,
    lookup_slb: $i > $i > $i ).

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

thf(l9_co,conjecture,
    ! [U: $i,V: $i,W: $i] :
      ( ~ ( contains_cpq @ ( triple @ U @ V @ W ) @ ( findmin_cpq_res @ ( triple @ U @ V @ W ) ) )
     => ~ ( ok @ ( findmin_cpq_eff @ ( triple @ U @ V @ W ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i,V: $i,W: $i] :
        ( ~ ( contains_cpq @ ( triple @ U @ V @ W ) @ ( findmin_cpq_res @ ( triple @ U @ V @ W ) ) )
       => ~ ( ok @ ( findmin_cpq_eff @ ( triple @ U @ V @ W ) ) ) ),
    inference('cnf.neg',[status(esa)],[l9_co]) ).

thf(zip_derived_cl54,plain,
    ok @ ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl54_001,plain,
    ok @ ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(l9_l10,axiom,
    ! [U: $i,V: $i,W: $i] :
      ( ( ok @ ( findmin_cpq_eff @ ( triple @ U @ V @ W ) ) )
     => ( ( V != create_slb )
        & ( contains_slb @ V @ ( findmin_pqp_res @ U ) )
        & ( less_than @ ( lookup_slb @ V @ ( findmin_pqp_res @ U ) ) @ ( findmin_pqp_res @ U ) ) ) ) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( contains_slb @ X0 @ ( findmin_pqp_res @ X1 ) )
      | ~ ( ok @ ( findmin_cpq_eff @ ( triple @ X1 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[l9_l10]) ).

thf(zip_derived_cl272,plain,
    contains_slb @ sk__1 @ ( findmin_pqp_res @ sk_ ),
    inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl51]) ).

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_cl47,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(ax39,axiom,
    ! [U: $i,V: $i,W: $i,X: $i] :
      ( ( contains_cpq @ ( triple @ U @ V @ W ) @ X )
    <=> ( contains_slb @ V @ X ) ) ).

thf(zip_derived_cl35,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(zip_derived_cl53,plain,
    ~ ( contains_cpq @ ( triple @ sk_ @ sk__1 @ sk__2 ) @ ( findmin_cpq_res @ ( triple @ sk_ @ sk__1 @ sk__2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl217,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( triple @ X3 @ X2 @ X1 )
       != ( triple @ sk_ @ sk__1 @ sk__2 ) )
      | ( X0
       != ( findmin_cpq_res @ ( triple @ sk_ @ sk__1 @ sk__2 ) ) )
      | ~ ( contains_slb @ X2 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl35,zip_derived_cl53]) ).

thf(zip_derived_cl265,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( contains_slb @ X0 @ ( findmin_cpq_res @ ( triple @ sk_ @ sk__1 @ sk__2 ) ) )
      | ( ( triple @ X2 @ X0 @ X1 )
       != ( triple @ sk_ @ sk__1 @ sk__2 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl217]) ).

thf(zip_derived_cl271,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sk__1 = create_slb )
      | ~ ( contains_slb @ X0 @ ( findmin_pqp_res @ sk_ ) )
      | ( ( triple @ X2 @ X0 @ X1 )
       != ( triple @ sk_ @ sk__1 @ sk__2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl265]) ).

thf(zip_derived_cl282,plain,
    ! [X0: $i,X1: $i] :
      ( ( sk__1 = create_slb )
      | ( ( triple @ X1 @ sk__1 @ X0 )
       != ( triple @ sk_ @ sk__1 @ sk__2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl271]) ).

thf(zip_derived_cl283,plain,
    sk__1 = create_slb,
    inference(eq_res,[status(thm)],[zip_derived_cl282]) ).

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

thf(zip_derived_cl42,plain,
    ! [X0: $i,X1: $i] :
      ( ( findmin_cpq_eff @ ( triple @ X0 @ create_slb @ X1 ) )
      = ( triple @ X0 @ create_slb @ bad ) ),
    inference(cnf,[status(esa)],[ax46]) ).

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

thf(zip_derived_cl36,plain,
    ! [X0: $i,X1: $i] :
      ~ ( ok @ ( triple @ X0 @ X1 @ bad ) ),
    inference(cnf,[status(esa)],[ax40]) ).

thf(zip_derived_cl284,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl283,zip_derived_cl42,zip_derived_cl36]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV373+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9rBq0oLSTb true
% 0.15/0.35  % Computer : n019.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Tue Aug 29 06:49:58 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.35  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.21/0.63  % Total configuration time : 435
% 0.21/0.63  % Estimated wc time : 1092
% 0.21/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74  % Solved by fo/fo6_bce.sh.
% 0.21/0.74  % BCE start: 55
% 0.21/0.74  % BCE eliminated: 0
% 0.21/0.74  % PE start: 55
% 0.21/0.74  logic: eq
% 0.21/0.74  % PE eliminated: 5
% 0.21/0.74  % done 43 iterations in 0.027s
% 0.21/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.74  % SZS output start Refutation
% See solution above
% 0.21/0.74  
% 0.21/0.74  
% 0.21/0.74  % Terminating...
% 1.28/0.85  % Runner terminated.
% 1.28/0.86  % Zipperpin 1.5 exiting
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