TSTP Solution File: KRS119+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS119+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.40ALGXncfs true

% Computer : n025.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 0.77s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   49 (   4 unt;  12 typ;   0 def)
%            Number of atoms       :   85 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  218 (  41   ~;  35   |;   5   &; 129   @)
%                                         (   6 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  12 usr;   2 con; 0-2 aty)
%            Number of variables   :   50 (   0   ^;  46   !;   4   ?;  50   :)

% 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(rinvR_type,type,
    rinvR: $i > $i > $o ).

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

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

thf(i2003_11_14_17_21_44786_type,type,
    i2003_11_14_17_21_44786: $i ).

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

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

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

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

thf(axiom_6,axiom,
    ! [X: $i] :
      ( ( ca_Vx3 @ X )
    <=> ? [Y: $i] :
          ( ( ca_Ax2 @ Y )
          & ( rr @ X @ Y ) ) ) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i] :
      ( ( ca_Ax2 @ ( sk__4 @ X0 ) )
      | ~ ( ca_Vx3 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_6]) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i] :
      ( ( rr @ X0 @ ( sk__4 @ X0 ) )
      | ~ ( ca_Vx3 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_6]) ).

thf(axiom_2,axiom,
    ! [X: $i] :
      ( ( cUnsatisfiable @ X )
    <=> ( ? [Y: $i] :
            ( ( ca_Vx3 @ Y )
            & ( rr @ X @ Y ) )
        & ( cp1 @ X ) ) ) ).

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

thf(axiom_10,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( rr @ X @ Y )
        & ( rr @ Y @ Z ) )
     => ( rr @ X @ Z ) ) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( rr @ X0 @ X1 )
      | ~ ( rr @ X1 @ X2 )
      | ( rr @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[axiom_10]) ).

thf(zip_derived_cl264,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( rr @ ( sk_ @ X0 ) @ X1 )
      | ( rr @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl43]) ).

thf(zip_derived_cl275,plain,
    ! [X0: $i] :
      ( ~ ( ca_Vx3 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 )
      | ( rr @ X0 @ ( sk__4 @ ( sk_ @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl264]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i] :
      ( ( ca_Vx3 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl287,plain,
    ! [X0: $i] :
      ( ( rr @ X0 @ ( sk__4 @ ( sk_ @ X0 ) ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl275,zip_derived_cl24]) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i,X1: $i] :
      ( ( ca_Vx3 @ X0 )
      | ~ ( rr @ X0 @ X1 )
      | ~ ( ca_Ax2 @ X1 ) ),
    inference(cnf,[status(esa)],[axiom_6]) ).

thf(zip_derived_cl289,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( ca_Vx3 @ X0 )
      | ~ ( ca_Ax2 @ ( sk__4 @ ( sk_ @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl287,zip_derived_cl37]) ).

thf(zip_derived_cl294,plain,
    ! [X0: $i] :
      ( ~ ( ca_Vx3 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 )
      | ( ca_Vx3 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl289]) ).

thf(zip_derived_cl24_001,plain,
    ! [X0: $i] :
      ( ( ca_Vx3 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl299,plain,
    ! [X0: $i] :
      ( ( ca_Vx3 @ X0 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl294,zip_derived_cl24]) ).

thf(zip_derived_cl36_002,plain,
    ! [X0: $i] :
      ( ( rr @ X0 @ ( sk__4 @ X0 ) )
      | ~ ( ca_Vx3 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_6]) ).

thf(axiom_9,axiom,
    ! [X: $i,Y: $i] :
      ( ( rinvR @ X @ Y )
    <=> ( rr @ Y @ X ) ) ).

thf(zip_derived_cl42,plain,
    ! [X0: $i,X1: $i] :
      ( ( rinvR @ X0 @ X1 )
      | ~ ( rr @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_9]) ).

thf(axiom_5,axiom,
    ! [X: $i] :
      ( ( ca_Ax2 @ X )
    <=> ( ( cp1 @ X )
        & ! [Y: $i] :
            ( ( rinvR @ X @ Y )
           => ( cp1xcomp @ Y ) ) ) ) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rinvR @ X0 @ X1 )
      | ( cp1xcomp @ X1 )
      | ~ ( ca_Ax2 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_5]) ).

thf(zip_derived_cl247,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rr @ X0 @ X1 )
      | ( cp1xcomp @ X0 )
      | ~ ( ca_Ax2 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl32]) ).

thf(zip_derived_cl258,plain,
    ! [X0: $i] :
      ( ~ ( ca_Vx3 @ X0 )
      | ( cp1xcomp @ X0 )
      | ~ ( ca_Ax2 @ ( sk__4 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl247]) ).

thf(zip_derived_cl35_003,plain,
    ! [X0: $i] :
      ( ( ca_Ax2 @ ( sk__4 @ X0 ) )
      | ~ ( ca_Vx3 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_6]) ).

thf(zip_derived_cl259,plain,
    ! [X0: $i] :
      ( ( cp1xcomp @ X0 )
      | ~ ( ca_Vx3 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl258,zip_derived_cl35]) ).

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

thf(zip_derived_cl29,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_cl27,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ra_Px1 @ X0 @ X1 )
      | ~ ( cp1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_3]) ).

thf(zip_derived_cl250,plain,
    ! [X0: $i] :
      ( ~ ( cp1xcomp @ X0 )
      | ~ ( cp1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl27]) ).

thf(zip_derived_cl260,plain,
    ! [X0: $i] :
      ( ~ ( ca_Vx3 @ X0 )
      | ~ ( cp1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl259,zip_derived_cl250]) ).

thf(zip_derived_cl300,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( cp1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl299,zip_derived_cl260]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i] :
      ( ( cp1 @ X0 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl302,plain,
    ! [X0: $i] :
      ~ ( cUnsatisfiable @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl300,zip_derived_cl25]) ).

thf(axiom_11,axiom,
    cUnsatisfiable @ i2003_11_14_17_21_44786 ).

thf(zip_derived_cl44,plain,
    cUnsatisfiable @ i2003_11_14_17_21_44786,
    inference(cnf,[status(esa)],[axiom_11]) ).

thf(zip_derived_cl303,plain,
    $false,
    inference('s_sup+',[status(thm)],[zip_derived_cl302,zip_derived_cl44]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KRS119+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.40ALGXncfs true
% 0.13/0.35  % Computer : n025.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Aug 28 01:33:39 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.21/0.67  % Total configuration time : 435
% 0.21/0.67  % Estimated wc time : 1092
% 0.21/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72  % /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
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77  % Solved by fo/fo6_bce.sh.
% 0.21/0.77  % BCE start: 45
% 0.21/0.77  % BCE eliminated: 2
% 0.21/0.77  % PE start: 43
% 0.21/0.77  logic: eq
% 0.21/0.77  % PE eliminated: 0
% 0.21/0.77  % done 68 iterations in 0.029s
% 0.21/0.77  % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.77  % SZS output start Refutation
% See solution above
% 0.21/0.77  
% 0.21/0.77  
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77  % Terminating...
% 1.54/0.88  % Runner terminated.
% 1.54/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------