TSTP Solution File: KRS110+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS110+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.d4ZkXygNd1 true

% Computer : n007.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 : Thu Aug 31 05:56:29 EDT 2023

% Result   : Unsatisfiable 0.58s 0.75s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   29 (   4 unt;  10 typ;   0 def)
%            Number of atoms       :   41 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   97 (  19   ~;  13   |;   4   &;  56   @)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (  10 usr;   2 con; 0-2 aty)
%            Number of variables   :   23 (   0   ^;  19   !;   4   ?;  23   :)

% Comments : 
%------------------------------------------------------------------------------
thf(ca_Ax2_type,type,
    ca_Ax2: $i > $o ).

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

thf(cpxcomp_type,type,
    cpxcomp: $i > $o ).

thf(rinvS_type,type,
    rinvS: $i > $i > $o ).

thf(cUnsatisfiable_type,type,
    cUnsatisfiable: $i > $o ).

thf(i2003_11_14_17_21_12565_type,type,
    i2003_11_14_17_21_12565: $i ).

thf(ra_Px1_type,type,
    ra_Px1: $i > $i > $o ).

thf(rs_type,type,
    rs: $i > $i > $o ).

thf(cp_type,type,
    cp: $i > $o ).

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

thf(axiom_5,axiom,
    ! [X: $i] :
      ( ( ca_Ax2 @ X )
    <=> ( ( cp @ X )
        & ? [Y: $i] :
            ( ( cp @ Y )
            & ( rinvS @ X @ Y ) ) ) ) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i] :
      ( ( cp @ X0 )
      | ~ ( ca_Ax2 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_5]) ).

thf(axiom_4,axiom,
    ! [X: $i] :
      ( ( cpxcomp @ X )
    <=> ? [Y0: $i] : ( ra_Px1 @ X @ Y0 ) ) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i] :
      ( ( ra_Px1 @ X0 @ ( sk__3 @ X0 ) )
      | ~ ( cpxcomp @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_4]) ).

thf(axiom_3,axiom,
    ! [X: $i] :
      ( ( cp @ X )
    <=> ~ ? [Y: $i] : ( ra_Px1 @ X @ Y ) ) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ra_Px1 @ X0 @ X1 )
      | ~ ( cp @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_3]) ).

thf(zip_derived_cl275,plain,
    ! [X0: $i] :
      ( ~ ( cpxcomp @ X0 )
      | ~ ( cp @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl31]) ).

thf(axiom_2,axiom,
    ! [X: $i] :
      ( ( cUnsatisfiable @ X )
    <=> ( ? [Y: $i] :
            ( ( ca_Ax2 @ Y )
            & ( rs @ X @ Y ) )
        & ! [Y: $i] :
            ( ( rs @ X @ Y )
           => ( cpxcomp @ Y ) ) ) ) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i] :
      ( ( rs @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rs @ X0 @ X1 )
      | ( cpxcomp @ X1 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl265,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( cpxcomp @ ( sk__1 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl28]) ).

thf(zip_derived_cl266,plain,
    ! [X0: $i] :
      ( ( cpxcomp @ ( sk__1 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl265]) ).

thf(zip_derived_cl278,plain,
    ! [X0: $i] :
      ( ~ ( cp @ ( sk__1 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl275,zip_derived_cl266]) ).

thf(zip_derived_cl281,plain,
    ! [X0: $i] :
      ( ~ ( ca_Ax2 @ ( sk__1 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl278]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i] :
      ( ( ca_Ax2 @ ( sk__1 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl283,plain,
    ! [X0: $i] :
      ~ ( cUnsatisfiable @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl281,zip_derived_cl27]) ).

thf(axiom_12,axiom,
    cUnsatisfiable @ i2003_11_14_17_21_12565 ).

thf(zip_derived_cl48,plain,
    cUnsatisfiable @ i2003_11_14_17_21_12565,
    inference(cnf,[status(esa)],[axiom_12]) ).

thf(zip_derived_cl286,plain,
    $false,
    inference('s_sup+',[status(thm)],[zip_derived_cl283,zip_derived_cl48]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : KRS110+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.d4ZkXygNd1 true
% 0.14/0.35  % Computer : n007.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
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Mon Aug 28 01:00:27 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
% 0.23/0.66  % Total configuration time : 435
% 0.23/0.66  % Estimated wc time : 1092
% 0.23/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.75  % Solved by fo/fo6_bce.sh.
% 0.58/0.75  % BCE start: 51
% 0.58/0.75  % BCE eliminated: 4
% 0.58/0.75  % PE start: 47
% 0.58/0.75  logic: eq
% 0.58/0.75  % PE eliminated: 0
% 0.58/0.75  % done 50 iterations in 0.019s
% 0.58/0.75  % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.75  % SZS output start Refutation
% See solution above
% 0.58/0.75  
% 0.58/0.75  
% 0.58/0.75  % Terminating...
% 0.58/0.78  % Runner terminated.
% 1.51/0.79  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------