TSTP Solution File: KRS108+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS108+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.jtuX6ek3mr true

% Computer : n020.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 1.36s 0.78s
% Output   : Refutation 1.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   50 (   4 unt;  16 typ;   0 def)
%            Number of atoms       :   80 (   6 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  189 (  36   ~;  30   |;   8   &; 107   @)
%                                         (   6 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   18 (  18   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  16 usr;   2 con; 0-2 aty)
%            Number of variables   :   44 (   0   ^;  40   !;   4   ?;  44   :)

% Comments : 
%------------------------------------------------------------------------------
thf(ca_Ax14_type,type,
    ca_Ax14: $i > $o ).

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

thf(ra_Px5_type,type,
    ra_Px5: $i > $i > $o ).

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

thf(sk__11_type,type,
    sk__11: $i > $i ).

thf(cp2_type,type,
    cp2: $i > $o ).

thf(cp5xcomp_type,type,
    cp5xcomp: $i > $o ).

thf(i2003_11_14_17_21_04740_type,type,
    i2003_11_14_17_21_04740: $i ).

thf(cp4xcomp_type,type,
    cp4xcomp: $i > $o ).

thf(cp2xcomp_type,type,
    cp2xcomp: $i > $o ).

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

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

thf(ca_Cx1_type,type,
    ca_Cx1: $i > $o ).

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

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

thf(cp3xcomp_type,type,
    cp3xcomp: $i > $o ).

thf(axiom_2,axiom,
    ! [X: $i] :
      ( ( cUnsatisfiable @ X )
    <=> ( ? [Y: $i] :
            ( ( ca_Ax14 @ Y )
            & ( rinvR @ X @ Y ) )
        & ( cp2 @ X ) ) ) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i] :
      ( ( rinvR @ X0 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(axiom_25,axiom,
    ! [X: $i,Y: $i] :
      ( ( rinvR @ X @ Y )
    <=> ( rr @ Y @ X ) ) ).

thf(zip_derived_cl97,plain,
    ! [X0: $i,X1: $i] :
      ( ( rr @ X0 @ X1 )
      | ~ ( rinvR @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_25]) ).

thf(zip_derived_cl538,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( rr @ ( sk_ @ X0 ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl97]) ).

thf(axiom_15,axiom,
    ! [X: $i] :
      ( ( ca_Ax14 @ X )
    <=> ( ? [Y: $i] :
            ( ( cp1 @ Y )
            & ( rr @ X @ Y ) )
        & ! [Y0: $i,Y1: $i] :
            ( ( ( rr @ X @ Y0 )
              & ( rr @ X @ Y1 ) )
           => ( Y0 = Y1 ) ) ) ) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i] :
      ( ( rr @ X0 @ ( sk__11 @ X0 ) )
      | ~ ( ca_Ax14 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_15]) ).

thf(zip_derived_cl69,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X0 )
      | ~ ( rr @ X2 @ X0 )
      | ~ ( rr @ X2 @ X1 )
      | ~ ( ca_Ax14 @ X2 ) ),
    inference(cnf,[status(esa)],[axiom_15]) ).

thf(zip_derived_cl575,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ca_Ax14 @ X0 )
      | ( X1
        = ( sk__11 @ X0 ) )
      | ~ ( rr @ X0 @ X1 )
      | ~ ( ca_Ax14 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl69]) ).

thf(zip_derived_cl577,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rr @ X0 @ X1 )
      | ( X1
        = ( sk__11 @ X0 ) )
      | ~ ( ca_Ax14 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl575]) ).

thf(zip_derived_cl580,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( X0
        = ( sk__11 @ ( sk_ @ X0 ) ) )
      | ~ ( ca_Ax14 @ ( sk_ @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl538,zip_derived_cl577]) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i] :
      ( ( ca_Ax14 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl622,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk__11 @ ( sk_ @ X0 ) ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl580,zip_derived_cl44]) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i] :
      ( ( cp1 @ ( sk__11 @ X0 ) )
      | ~ ( ca_Ax14 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_15]) ).

thf(zip_derived_cl624,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( cp1 @ X0 )
      | ~ ( ca_Ax14 @ ( sk_ @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl622,zip_derived_cl68]) ).

thf(zip_derived_cl44_001,plain,
    ! [X0: $i] :
      ( ( ca_Ax14 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl631,plain,
    ! [X0: $i] :
      ( ( cp1 @ X0 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl624,zip_derived_cl44]) ).

thf(axiom_3,axiom,
    ! [X: $i] :
      ( ( cp1 @ X )
     => ( ca_Cx1 @ X ) ) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i] :
      ( ( ca_Cx1 @ X0 )
      | ~ ( cp1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_3]) ).

thf(zip_derived_cl632,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( ca_Cx1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl631,zip_derived_cl47]) ).

thf(axiom_4,axiom,
    ! [X: $i] :
      ( ( cp2 @ X )
    <=> ? [Y0: $i] : ( ra_Px5 @ X @ Y0 ) ) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i] :
      ( ( ra_Px5 @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( cp2 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_4]) ).

thf(axiom_6,axiom,
    ! [X: $i] :
      ( ( cp2xcomp @ X )
    <=> ~ ? [Y: $i] : ( ra_Px5 @ X @ Y ) ) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ra_Px5 @ X0 @ X1 )
      | ~ ( cp2xcomp @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_6]) ).

thf(zip_derived_cl543,plain,
    ! [X0: $i] :
      ( ~ ( cp2 @ X0 )
      | ~ ( cp2xcomp @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl51]) ).

thf(axiom_16,axiom,
    ! [X: $i] :
      ( ( ca_Cx1 @ X )
    <=> ( ( cp2xcomp @ X )
        & ( cp5xcomp @ X )
        & ( cp3xcomp @ X )
        & ( cp4xcomp @ X ) ) ) ).

thf(zip_derived_cl73,plain,
    ! [X0: $i] :
      ( ( cp2xcomp @ X0 )
      | ~ ( ca_Cx1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_16]) ).

thf(zip_derived_cl544,plain,
    ! [X0: $i] :
      ( ~ ( cp2 @ X0 )
      | ~ ( ca_Cx1 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl543,zip_derived_cl73]) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i] :
      ( ( cp2 @ X0 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl548,plain,
    ! [X0: $i] :
      ( ~ ( ca_Cx1 @ X0 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl544,zip_derived_cl45]) ).

thf(zip_derived_cl633,plain,
    ! [X0: $i] :
      ~ ( cUnsatisfiable @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl632,zip_derived_cl548]) ).

thf(axiom_26,axiom,
    cUnsatisfiable @ i2003_11_14_17_21_04740 ).

thf(zip_derived_cl99,plain,
    cUnsatisfiable @ i2003_11_14_17_21_04740,
    inference(cnf,[status(esa)],[axiom_26]) ).

thf(zip_derived_cl637,plain,
    $false,
    inference('s_sup+',[status(thm)],[zip_derived_cl633,zip_derived_cl99]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : KRS108+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.jtuX6ek3mr true
% 0.14/0.34  % Computer : n020.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon Aug 28 01:40:44 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.36/0.78  % Solved by fo/fo6_bce.sh.
% 1.36/0.78  % BCE start: 100
% 1.36/0.78  % BCE eliminated: 4
% 1.36/0.78  % PE start: 96
% 1.36/0.78  logic: eq
% 1.36/0.78  % PE eliminated: 0
% 1.36/0.78  % done 140 iterations in 0.043s
% 1.36/0.78  % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.36/0.78  % SZS output start Refutation
% See solution above
% 1.36/0.78  
% 1.36/0.78  
% 1.36/0.78  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.36/0.78  % Terminating...
% 1.56/0.86  % Runner terminated.
% 1.56/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------