TSTP Solution File: KRS105+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS105+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.W8MzFWCGt2 true

% Computer : n011.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 05:56:28 EDT 2023

% Result   : Unsatisfiable 0.21s 0.73s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   44 (   9 unt;  11 typ;   0 def)
%            Number of atoms       :   62 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  144 (  25   ~;  20   |;   0   &;  90   @)
%                                         (   3 <=>;   6  =>;   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     :   12 (  11 usr;   2 con; 0-2 aty)
%            Number of variables   :   37 (   0   ^;  35   !;   2   ?;  37   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cdxcomp_type,type,
    cdxcomp: $i > $o ).

thf(i2003_11_14_17_20_53634_type,type,
    i2003_11_14_17_20_53634: $i ).

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

thf(cd_type,type,
    cd: $i > $o ).

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

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

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

thf(rr_type,type,
    rr: $i > $i > $o ).

thf(cc_type,type,
    cc: $i > $o ).

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

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

thf(axiom_9,axiom,
    cUnsatisfiable @ i2003_11_14_17_20_53634 ).

thf(zip_derived_cl15,plain,
    cUnsatisfiable @ i2003_11_14_17_20_53634,
    inference(cnf,[status(esa)],[axiom_9]) ).

thf(axiom_2,axiom,
    ! [X: $i] :
      ( ( cUnsatisfiable @ X )
     => ( cdxcomp @ X ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i] :
      ( ( cdxcomp @ X0 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl18,plain,
    cdxcomp @ i2003_11_14_17_20_53634,
    inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl4]) ).

thf(axiom_6,axiom,
    ! [X: $i] :
      ( ( cdxcomp @ X )
    <=> ? [Y0: $i] : ( ra_Px1 @ X @ Y0 ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ( ra_Px1 @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( cdxcomp @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_6]) ).

thf(zip_derived_cl21,plain,
    ra_Px1 @ i2003_11_14_17_20_53634 @ ( sk__1 @ i2003_11_14_17_20_53634 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl9]) ).

thf(axiom_5,axiom,
    ! [X: $i] :
      ( ( cd @ X )
    <=> ~ ? [Y: $i] : ( ra_Px1 @ X @ Y ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ( cd @ X0 )
      | ( ra_Px1 @ X0 @ ( sk_ @ X0 ) ) ),
    inference(cnf,[status(esa)],[axiom_5]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ra_Px1 @ X0 @ X1 )
      | ~ ( cd @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_5]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i] :
      ( ( ra_Px1 @ X1 @ ( sk_ @ X1 ) )
      | ~ ( ra_Px1 @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl7]) ).

thf(zip_derived_cl30,plain,
    ra_Px1 @ i2003_11_14_17_20_53634 @ ( sk_ @ i2003_11_14_17_20_53634 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl22]) ).

thf(axiom_7,axiom,
    ! [X: $i] :
      ( ( ca_Ax2 @ X )
    <=> ! [Y: $i] :
          ( ( rr @ X @ Y )
         => ( cc @ Y ) ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ( ( ca_Ax2 @ X0 )
      | ( rr @ X0 @ ( sk__2 @ X0 ) ) ),
    inference(cnf,[status(esa)],[axiom_7]) ).

thf(axiom_4,axiom,
    ! [X: $i] :
      ( ( cc @ X )
     => ! [Y: $i] :
          ( ( rr @ X @ Y )
         => ( cc @ Y ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rr @ X0 @ X1 )
      | ( cc @ X1 )
      | ~ ( cc @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_4]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i] :
      ( ( ca_Ax2 @ X0 )
      | ~ ( cc @ X0 )
      | ( cc @ ( sk__2 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl13,zip_derived_cl6]) ).

thf(axiom_8,axiom,
    ! [X: $i] :
      ( ( ca_Ax2 @ X )
     => ( cd @ X ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i] :
      ( ( cd @ X0 )
      | ~ ( ca_Ax2 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_8]) ).

thf(zip_derived_cl7_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ra_Px1 @ X0 @ X1 )
      | ~ ( cd @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_5]) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ca_Ax2 @ X1 )
      | ~ ( ra_Px1 @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl7]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i] :
      ( ( cc @ ( sk__2 @ X1 ) )
      | ~ ( cc @ X1 )
      | ~ ( ra_Px1 @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl24,zip_derived_cl23]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i] :
      ( ( ca_Ax2 @ X0 )
      | ~ ( cc @ ( sk__2 @ X0 ) ) ),
    inference(cnf,[status(esa)],[axiom_7]) ).

thf(zip_derived_cl23_002,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ca_Ax2 @ X1 )
      | ~ ( ra_Px1 @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl7]) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cc @ ( sk__2 @ X1 ) )
      | ~ ( ra_Px1 @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl23]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ra_Px1 @ X1 @ X0 )
      | ~ ( cc @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl27,zip_derived_cl26]) ).

thf(zip_derived_cl35,plain,
    ~ ( cc @ i2003_11_14_17_20_53634 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl34]) ).

thf(zip_derived_cl15_003,plain,
    cUnsatisfiable @ i2003_11_14_17_20_53634,
    inference(cnf,[status(esa)],[axiom_9]) ).

thf(axiom_3,axiom,
    ! [X: $i] :
      ( ( cUnsatisfiable @ X )
     => ( cc @ X ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ( cc @ X0 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_3]) ).

thf(zip_derived_cl19,plain,
    cc @ i2003_11_14_17_20_53634,
    inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl5]) ).

thf(zip_derived_cl37,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl19]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : KRS105+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.W8MzFWCGt2 true
% 0.13/0.34  % Computer : n011.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 : Mon Aug 28 02:11:40 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/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
% 0.21/0.62  % Total configuration time : 435
% 0.21/0.62  % Estimated wc time : 1092
% 0.21/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % Solved by fo/fo6_bce.sh.
% 0.21/0.73  % BCE start: 16
% 0.21/0.73  % BCE eliminated: 2
% 0.21/0.73  % PE start: 14
% 0.21/0.73  logic: neq
% 0.21/0.73  % PE eliminated: 8
% 0.21/0.73  % done 7 iterations in 0.015s
% 0.21/0.73  % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.73  % SZS output start Refutation
% See solution above
% 0.21/0.73  
% 0.21/0.73  
% 0.21/0.73  % Terminating...
% 1.42/0.83  % Runner terminated.
% 1.45/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------