TSTP Solution File: SWV137+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV137+1 : TPTP v8.1.2. Bugfixed 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.UzJEbD5UQC true

% Computer : n003.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 00:08:01 EDT 2023

% Result   : Theorem 1.38s 0.81s
% Output   : Refutation 1.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   25 (   7 unt;  11 typ;   0 def)
%            Number of atoms       :   41 (   0 equ;   0 cnn)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  129 (   6   ~;   4   |;  19   &;  96   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   11 (   0   ^;  11   !;   0   ?;  11   :)

% Comments : 
%------------------------------------------------------------------------------
thf(n3_type,type,
    n3: $i ).

thf(s_sworst7_type,type,
    s_sworst7: $i ).

thf(n2_type,type,
    n2: $i ).

thf(s_values7_type,type,
    s_values7: $i ).

thf(leq_type,type,
    leq: $i > $i > $o ).

thf(gt_type,type,
    gt: $i > $i > $o ).

thf(s_worst7_type,type,
    s_worst7: $i ).

thf(n0_type,type,
    n0: $i ).

thf(a_select2_type,type,
    a_select2: $i > $i > $i ).

thf(s_best7_type,type,
    s_best7: $i ).

thf(pv1325_type,type,
    pv1325: $i ).

thf(gauss_array_0007,conjecture,
    ( ( ( leq @ n0 @ s_best7 )
      & ( leq @ n0 @ s_sworst7 )
      & ( leq @ n0 @ s_worst7 )
      & ( leq @ n2 @ pv1325 )
      & ( leq @ s_best7 @ n3 )
      & ( leq @ s_sworst7 @ n3 )
      & ( leq @ s_worst7 @ n3 )
      & ( leq @ pv1325 @ n3 )
      & ( leq @ ( a_select2 @ s_values7 @ pv1325 ) @ ( a_select2 @ s_values7 @ s_best7 ) )
      & ( leq @ ( a_select2 @ s_values7 @ pv1325 ) @ ( a_select2 @ s_values7 @ s_worst7 ) ) )
   => ( leq @ n0 @ pv1325 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( leq @ n0 @ s_best7 )
        & ( leq @ n0 @ s_sworst7 )
        & ( leq @ n0 @ s_worst7 )
        & ( leq @ n2 @ pv1325 )
        & ( leq @ s_best7 @ n3 )
        & ( leq @ s_sworst7 @ n3 )
        & ( leq @ s_worst7 @ n3 )
        & ( leq @ pv1325 @ n3 )
        & ( leq @ ( a_select2 @ s_values7 @ pv1325 ) @ ( a_select2 @ s_values7 @ s_best7 ) )
        & ( leq @ ( a_select2 @ s_values7 @ pv1325 ) @ ( a_select2 @ s_values7 @ s_worst7 ) ) )
     => ( leq @ n0 @ pv1325 ) ),
    inference('cnf.neg',[status(esa)],[gauss_array_0007]) ).

thf(zip_derived_cl47,plain,
    ~ ( leq @ n0 @ pv1325 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(gt_2_0,axiom,
    gt @ n2 @ n0 ).

thf(zip_derived_cl21,plain,
    gt @ n2 @ n0,
    inference(cnf,[status(esa)],[gt_2_0]) ).

thf(leq_gt1,axiom,
    ! [X: $i,Y: $i] :
      ( ( gt @ Y @ X )
     => ( leq @ X @ Y ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ X1 )
      | ~ ( gt @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[leq_gt1]) ).

thf(zip_derived_cl59,plain,
    leq @ n0 @ n2,
    inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl2]) ).

thf(transitivity_leq,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( leq @ X @ Y )
        & ( leq @ Y @ Z ) )
     => ( leq @ X @ Z ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( leq @ X0 @ X1 )
      | ~ ( leq @ X1 @ X2 )
      | ( leq @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[transitivity_leq]) ).

thf(zip_derived_cl78,plain,
    ! [X0: $i] :
      ( ( leq @ n0 @ X0 )
      | ~ ( leq @ n2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl1]) ).

thf(zip_derived_cl40,plain,
    leq @ n2 @ pv1325,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl83,plain,
    leq @ n0 @ pv1325,
    inference('sup+',[status(thm)],[zip_derived_cl78,zip_derived_cl40]) ).

thf(zip_derived_cl126,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl83]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV137+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.14/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UzJEbD5UQC true
% 0.14/0.35  % Computer : n003.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Aug 29 09:07:40 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % 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
% 1.13/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.13/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.13/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.13/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.13/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.13/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.13/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.38/0.81  % Solved by fo/fo4.sh.
% 1.38/0.81  % done 38 iterations in 0.020s
% 1.38/0.81  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.38/0.81  % SZS output start Refutation
% See solution above
% 1.38/0.81  
% 1.38/0.81  
% 1.38/0.81  % Terminating...
% 1.38/0.85  % Runner terminated.
% 1.38/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------