TSTP Solution File: KRS114+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS114+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jvG6lQCGKK true

% Computer : n004.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 05:56:30 EDT 2023

% Result   : Unsatisfiable 0.21s 0.79s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   53 (   4 unt;  16 typ;   0 def)
%            Number of atoms       :   89 (   6 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  224 (  46   ~;  36   |;   7   &; 126   @)
%                                         (   7 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   19 (  19   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  16 usr;   2 con; 0-2 aty)
%            Number of variables   :   50 (   0   ^;  45   !;   5   ?;  50   :)

% Comments : 
%------------------------------------------------------------------------------
thf(ca_Ax3_type,type,
    ca_Ax3: $i > $o ).

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

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

thf(sk__8_type,type,
    sk__8: $i > $i ).

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

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

thf(i2003_11_14_17_21_262_type,type,
    i2003_11_14_17_21_262: $i ).

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

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

thf(cqxcomp_type,type,
    cqxcomp: $i > $o ).

thf(ca_Ax4_type,type,
    ca_Ax4: $i > $o ).

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

thf(ca_Vx5_type,type,
    ca_Vx5: $i > $o ).

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

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

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

thf(axiom_2,axiom,
    ! [X: $i] :
      ( ( cUnsatisfiable @ X )
    <=> ( ? [Y: $i] :
            ( ( ca_Ax4 @ Y )
            & ( rr @ X @ Y ) )
        & ? [Y: $i] :
            ( ( ca_Ax3 @ Y )
            & ( rs @ X @ Y ) ) ) ) ).

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

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

thf(zip_derived_cl52,plain,
    ! [X0: $i,X1: $i] :
      ( ( rinvR @ X0 @ X1 )
      | ~ ( rr @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_10]) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( rinvR @ ( sk_ @ X0 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl52]) ).

thf(axiom_8,axiom,
    ! [X: $i] :
      ( ( ca_Ax4 @ X )
    <=> ( ! [Y0: $i,Y1: $i] :
            ( ( ( rinvR @ X @ Y0 )
              & ( rinvR @ X @ Y1 ) )
           => ( Y0 = Y1 ) )
        & ? [Y: $i] :
            ( ( ca_Vx5 @ Y )
            & ( rinvR @ X @ Y ) ) ) ) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i] :
      ( ( rinvR @ X0 @ ( sk__8 @ X0 ) )
      | ~ ( ca_Ax4 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_8]) ).

thf(zip_derived_cl42,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X0 )
      | ~ ( rinvR @ X2 @ X0 )
      | ~ ( rinvR @ X2 @ X1 )
      | ~ ( ca_Ax4 @ X2 ) ),
    inference(cnf,[status(esa)],[axiom_8]) ).

thf(zip_derived_cl90,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ca_Ax4 @ X0 )
      | ~ ( ca_Ax4 @ X0 )
      | ~ ( rinvR @ X0 @ X1 )
      | ( X1
        = ( sk__8 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl42]) ).

thf(zip_derived_cl91,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
        = ( sk__8 @ X0 ) )
      | ~ ( rinvR @ X0 @ X1 )
      | ~ ( ca_Ax4 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl90]) ).

thf(zip_derived_cl97,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( ca_Ax4 @ ( sk_ @ X0 ) )
      | ( X0
        = ( sk__8 @ ( sk_ @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl91]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i] :
      ( ( ca_Ax4 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl98,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk__8 @ ( sk_ @ X0 ) ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl97,zip_derived_cl27]) ).

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_cl69,plain,
    ! [X0: $i] :
      ( ~ ( cpxcomp @ X0 )
      | ~ ( cp @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl31]) ).

thf(axiom_7,axiom,
    ! [X: $i] :
      ( ( ca_Ax3 @ X )
    <=> ( ( cqxcomp @ X )
        & ( cpxcomp @ X ) ) ) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i] :
      ( ( cpxcomp @ X0 )
      | ~ ( ca_Ax3 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_7]) ).

thf(zip_derived_cl71,plain,
    ! [X0: $i] :
      ( ~ ( cp @ X0 )
      | ~ ( ca_Ax3 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl69,zip_derived_cl40]) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i] :
      ( ( rs @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(axiom_9,axiom,
    ! [X: $i] :
      ( ( ca_Vx5 @ X )
    <=> ! [Y: $i] :
          ( ( rs @ X @ Y )
         => ( cp @ Y ) ) ) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rs @ X0 @ X1 )
      | ( cp @ X1 )
      | ~ ( ca_Vx5 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_9]) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( ca_Vx5 @ X0 )
      | ( cp @ ( sk__1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl48]) ).

thf(zip_derived_cl75,plain,
    ! [X0: $i] :
      ( ~ ( ca_Ax3 @ ( sk__1 @ X0 ) )
      | ~ ( ca_Vx5 @ X0 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl71,zip_derived_cl68]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i] :
      ( ( ca_Ax3 @ ( sk__1 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl83,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( ca_Vx5 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl75,zip_derived_cl29]) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i] :
      ( ( ca_Vx5 @ ( sk__8 @ X0 ) )
      | ~ ( ca_Ax4 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_8]) ).

thf(zip_derived_cl84,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ ( sk__8 @ X0 ) )
      | ~ ( ca_Ax4 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl83,zip_derived_cl44]) ).

thf(zip_derived_cl101,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( cUnsatisfiable @ X0 )
      | ~ ( ca_Ax4 @ ( sk_ @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl84]) ).

thf(zip_derived_cl102,plain,
    ! [X0: $i] :
      ( ~ ( ca_Ax4 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl101]) ).

thf(zip_derived_cl27_001,plain,
    ! [X0: $i] :
      ( ( ca_Ax4 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl103,plain,
    ! [X0: $i] :
      ~ ( cUnsatisfiable @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl102,zip_derived_cl27]) ).

thf(axiom_11,axiom,
    cUnsatisfiable @ i2003_11_14_17_21_262 ).

thf(zip_derived_cl53,plain,
    cUnsatisfiable @ i2003_11_14_17_21_262,
    inference(cnf,[status(esa)],[axiom_11]) ).

thf(zip_derived_cl105,plain,
    $false,
    inference('sup+',[status(thm)],[zip_derived_cl103,zip_derived_cl53]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : KRS114+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jvG6lQCGKK true
% 0.12/0.34  % Computer : n004.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.35  % DateTime : Mon Aug 28 01:08:52 EDT 2023
% 0.12/0.35  % CPUTime  : 
% 0.12/0.35  % Running portfolio for 300 s
% 0.12/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % 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
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.79  % Solved by fo/fo7.sh.
% 0.21/0.79  % done 69 iterations in 0.034s
% 0.21/0.79  % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.79  % SZS output start Refutation
% See solution above
% 0.21/0.79  
% 0.21/0.79  
% 0.21/0.79  % Terminating...
% 1.39/0.83  % Runner terminated.
% 1.76/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------