TSTP Solution File: KRS120+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS120+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.5rtKMlGWqv 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 : Thu Aug 31 05:56:31 EDT 2023

% Result   : Unsatisfiable 0.21s 0.75s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   55 (   6 unt;  15 typ;   0 def)
%            Number of atoms       :   90 (   5 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  224 (  48   ~;  36   |;   6   &; 126   @)
%                                         (   6 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   17 (  17   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   2 con; 0-2 aty)
%            Number of variables   :   53 (   0   ^;  48   !;   5   ?;  53   :)

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

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

thf(cp1xcomp_type,type,
    cp1xcomp: $i > $o ).

thf(cp1_type,type,
    cp1: $i > $o ).

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

thf(i2003_11_14_17_21_48796_type,type,
    i2003_11_14_17_21_48796: $i ).

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

thf(rinvF_type,type,
    rinvF: $i > $i > $o ).

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

thf(cowlThing_type,type,
    cowlThing: $i > $o ).

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

thf(ca_Vx3_type,type,
    ca_Vx3: $i > $o ).

thf(cowlNothing_type,type,
    cowlNothing: $i > $o ).

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

thf(rf_type,type,
    rf: $i > $i > $o ).

thf(axiom_5,axiom,
    ! [X: $i] :
      ( ( ca_Ax2 @ X )
    <=> ( ? [Y: $i] :
            ( ( ca_Vx3 @ Y )
            & ( rinvF @ X @ Y ) )
        & ( cp1 @ X ) ) ) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i] :
      ( ( rinvF @ X0 @ ( sk__3 @ X0 ) )
      | ~ ( ca_Ax2 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_5]) ).

thf(axiom_8,axiom,
    ! [X: $i,Y: $i] :
      ( ( rinvF @ X @ Y )
    <=> ( rf @ Y @ X ) ) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i,X1: $i] :
      ( ( rf @ X0 @ X1 )
      | ~ ( rinvF @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_8]) ).

thf(zip_derived_cl245,plain,
    ! [X0: $i] :
      ( ~ ( ca_Ax2 @ X0 )
      | ( rf @ ( sk__3 @ X0 ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl38]) ).

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

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i] :
      ( ( cUnsatisfiable @ X0 )
      | ~ ( rf @ X0 @ X1 )
      | ~ ( ca_Ax2 @ X1 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl275,plain,
    ! [X0: $i] :
      ( ~ ( ca_Ax2 @ X0 )
      | ( cUnsatisfiable @ ( sk__3 @ X0 ) )
      | ~ ( ca_Ax2 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl245,zip_derived_cl25]) ).

thf(zip_derived_cl279,plain,
    ! [X0: $i] :
      ( ( cUnsatisfiable @ ( sk__3 @ X0 ) )
      | ~ ( ca_Ax2 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl275]) ).

thf(axiom_6,axiom,
    ! [X: $i] :
      ( ( ca_Vx3 @ X )
    <=> ? [Y: $i] :
          ( ( cp1xcomp @ Y )
          & ( rf @ X @ Y ) ) ) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i] :
      ( ( rf @ X0 @ ( sk__4 @ X0 ) )
      | ~ ( ca_Vx3 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_6]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i] :
      ( ( rf @ X0 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(axiom_7,axiom,
    ! [X: $i] :
      ( ( cowlThing @ X )
     => ! [Y0: $i,Y1: $i] :
          ( ( ( rf @ X @ Y0 )
            & ( rf @ X @ Y1 ) )
         => ( Y0 = Y1 ) ) ) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X0 )
      | ~ ( rf @ X2 @ X0 )
      | ~ ( rf @ X2 @ X1 )
      | ~ ( cowlThing @ X2 ) ),
    inference(cnf,[status(esa)],[axiom_7]) ).

thf(axiom_0,axiom,
    ! [X: $i] :
      ( ~ ( cowlNothing @ X )
      & ( cowlThing @ X ) ) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i] : ( cowlThing @ X0 ),
    inference(cnf,[status(esa)],[axiom_0]) ).

thf(zip_derived_cl232,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X0 )
      | ~ ( rf @ X2 @ X0 )
      | ~ ( rf @ X2 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl19]) ).

thf(zip_derived_cl234,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( X1
        = ( sk_ @ X0 ) )
      | ~ ( rf @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl232]) ).

thf(zip_derived_cl253,plain,
    ! [X0: $i] :
      ( ~ ( ca_Vx3 @ X0 )
      | ~ ( cUnsatisfiable @ X0 )
      | ( ( sk__4 @ X0 )
        = ( sk_ @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl234]) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i] :
      ( ( cp1 @ X0 )
      | ~ ( ca_Ax2 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_5]) ).

thf(axiom_4,axiom,
    ! [X: $i] :
      ( ( cp1xcomp @ X )
    <=> ? [Y0: $i] : ( ra_Px1 @ X @ Y0 ) ) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i] :
      ( ( ra_Px1 @ X0 @ ( sk__2 @ X0 ) )
      | ~ ( cp1xcomp @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_4]) ).

thf(axiom_3,axiom,
    ! [X: $i] :
      ( ( cp1 @ X )
    <=> ~ ? [Y: $i] : ( ra_Px1 @ X @ Y ) ) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ra_Px1 @ X0 @ X1 )
      | ~ ( cp1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_3]) ).

thf(zip_derived_cl238,plain,
    ! [X0: $i] :
      ( ~ ( cp1xcomp @ X0 )
      | ~ ( cp1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl26]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i] :
      ( ( cp1xcomp @ ( sk__4 @ X0 ) )
      | ~ ( ca_Vx3 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_6]) ).

thf(zip_derived_cl241,plain,
    ! [X0: $i] :
      ( ~ ( cp1 @ ( sk__4 @ X0 ) )
      | ~ ( ca_Vx3 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl238,zip_derived_cl34]) ).

thf(zip_derived_cl244,plain,
    ! [X0: $i] :
      ( ~ ( ca_Ax2 @ ( sk__4 @ X0 ) )
      | ~ ( ca_Vx3 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl241]) ).

thf(zip_derived_cl261,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( ca_Vx3 @ X0 )
      | ~ ( ca_Ax2 @ ( sk_ @ X0 ) )
      | ~ ( ca_Vx3 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl253,zip_derived_cl244]) ).

thf(zip_derived_cl265,plain,
    ! [X0: $i] :
      ( ~ ( ca_Ax2 @ ( sk_ @ X0 ) )
      | ~ ( ca_Vx3 @ X0 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl261]) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i] :
      ( ( ca_Ax2 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl271,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( ca_Vx3 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl265,zip_derived_cl23]) ).

thf(zip_derived_cl280,plain,
    ! [X0: $i] :
      ( ~ ( ca_Ax2 @ X0 )
      | ~ ( ca_Vx3 @ ( sk__3 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl279,zip_derived_cl271]) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i] :
      ( ( ca_Vx3 @ ( sk__3 @ X0 ) )
      | ~ ( ca_Ax2 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_5]) ).

thf(zip_derived_cl281,plain,
    ! [X0: $i] :
      ~ ( ca_Ax2 @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl280,zip_derived_cl31]) ).

thf(zip_derived_cl23_001,plain,
    ! [X0: $i] :
      ( ( ca_Ax2 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl283,plain,
    ! [X0: $i] :
      ~ ( cUnsatisfiable @ X0 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl281,zip_derived_cl23]) ).

thf(axiom_11,axiom,
    cUnsatisfiable @ i2003_11_14_17_21_48796 ).

thf(zip_derived_cl43,plain,
    cUnsatisfiable @ i2003_11_14_17_21_48796,
    inference(cnf,[status(esa)],[axiom_11]) ).

thf(zip_derived_cl285,plain,
    $false,
    inference('s_sup+',[status(thm)],[zip_derived_cl283,zip_derived_cl43]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : KRS120+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5rtKMlGWqv true
% 0.15/0.35  % Computer : n003.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
% 0.21/0.35  % CPULimit : 300
% 0.21/0.35  % WCLimit  : 300
% 0.21/0.35  % DateTime : Mon Aug 28 02:12:25 EDT 2023
% 0.21/0.35  % CPUTime  : 
% 0.21/0.35  % Running portfolio for 300 s
% 0.21/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.35  % Number of cores: 8
% 0.21/0.35  % Python version: Python 3.6.8
% 0.21/0.36  % 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
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75  % Solved by fo/fo6_bce.sh.
% 0.21/0.75  % BCE start: 44
% 0.21/0.75  % BCE eliminated: 2
% 0.21/0.75  % PE start: 42
% 0.21/0.75  logic: eq
% 0.21/0.75  % PE eliminated: 0
% 0.21/0.75  % done 60 iterations in 0.024s
% 0.21/0.75  % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.75  % SZS output start Refutation
% See solution above
% 0.21/0.75  
% 0.21/0.75  
% 0.21/0.75  % Terminating...
% 1.40/0.85  % Runner terminated.
% 1.40/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------