↑ Up

Zipperpin---2.1.9999.UNS-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS122+1 : TPTP v9.2.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.kJn4grASMn true

% Computer : n007.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 Oct  2 04:40:38 PM UTC 2025

% Result   : Unsatisfiable 0.48s 0.73s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   35 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :   78 (   5 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  190 (  37   ~;  31   |;   4   &; 110   @)
%                                         (   6 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   2 con; 0-2 aty)
%            Number of variables   :   47 (   0   ^;  43   !;   4   ?;  47   :)

% 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_55116_type,type,
    i2003_11_14_17_21_55116: $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(ca_Vx3_type,type,
    ca_Vx3: $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 )
    <=> ( ( cp1 @ X )
        & ! [Y: $i] :
            ( ( rinvF @ X @ Y )
           => ( ca_Vx3 @ Y ) ) ) ) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i] :
      ( ( cp1 @ X0 )
      | ~ ( ca_Ax2 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_5]) ).

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

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,Y: $i,Z: $i] :
      ( ( ( rf @ X @ Y )
        & ( rf @ X @ Z ) )
     => ( Y = Z ) ) ).

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

thf(zip_derived_cl228,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( rf @ X0 @ X1 )
      | ( ( sk_ @ X0 )
        = X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl37]) ).

thf(zip_derived_cl245,plain,
    ! [X0: $i] :
      ( ~ ( ca_Vx3 @ X0 )
      | ~ ( cUnsatisfiable @ X0 )
      | ( ( sk_ @ X0 )
        = ( sk__4 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl228]) ).

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

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

thf(zip_derived_cl39,plain,
    ! [X0: $i,X1: $i] :
      ( ( rinvF @ X0 @ X1 )
      | ~ ( rf @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_8]) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rinvF @ X0 @ X1 )
      | ( ca_Vx3 @ X1 )
      | ~ ( ca_Ax2 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_5]) ).

thf(zip_derived_cl236,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rf @ X0 @ X1 )
      | ( ca_Vx3 @ X0 )
      | ~ ( ca_Ax2 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl31]) ).

thf(zip_derived_cl246,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( ca_Vx3 @ X0 )
      | ~ ( ca_Ax2 @ ( sk_ @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl236]) ).

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

thf(zip_derived_cl254,plain,
    ! [X0: $i] :
      ( ( ca_Vx3 @ X0 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl246,zip_derived_cl23]) ).

thf(zip_derived_cl263,plain,
    ! [X0: $i] :
      ( ( ( sk_ @ X0 )
        = ( sk__4 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl245,zip_derived_cl254]) ).

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

thf(zip_derived_cl264,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( cp1xcomp @ ( sk_ @ X0 ) )
      | ~ ( ca_Vx3 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl263,zip_derived_cl34]) ).

thf(zip_derived_cl254_002,plain,
    ! [X0: $i] :
      ( ( ca_Vx3 @ X0 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl246,zip_derived_cl23]) ).

thf(zip_derived_cl268,plain,
    ! [X0: $i] :
      ( ( cp1xcomp @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl264,zip_derived_cl254]) ).

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_cl229,plain,
    ! [X0: $i] :
      ( ~ ( cp1xcomp @ X0 )
      | ~ ( cp1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl26]) ).

thf(zip_derived_cl269,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( cp1 @ ( sk_ @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl229]) ).

thf(zip_derived_cl271,plain,
    ! [X0: $i] :
      ( ~ ( ca_Ax2 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl269]) ).

thf(zip_derived_cl23_003,plain,
    ! [X0: $i] :
      ( ( ca_Ax2 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl272,plain,
    ! [X0: $i] :
      ~ ( cUnsatisfiable @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl271,zip_derived_cl23]) ).

thf(axiom_11,axiom,
    cUnsatisfiable @ i2003_11_14_17_21_55116 ).

thf(zip_derived_cl43,plain,
    cUnsatisfiable @ i2003_11_14_17_21_55116,
    inference(cnf,[status(esa)],[axiom_11]) ).

thf(zip_derived_cl273,plain,
    $false,
    inference('s_sup+',[status(thm)],[zip_derived_cl272,zip_derived_cl43]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12  % Problem  : KRS122+1 : TPTP v9.2.0. Released v3.1.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.kJn4grASMn true
% 0.12/0.35  % Computer : n007.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Wed Oct  1 11:51:23 EDT 2025
% 0.12/0.35  % CPUTime  : 
% 0.12/0.35  % Running portfolio for 300 s
% 0.12/0.35  % File         : /export/starexec/sandbox/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
% 0.46/0.58  % Total configuration time : 435
% 0.46/0.58  % Estimated wc time : 1092
% 0.46/0.58  % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.67  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.68  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.69  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.69  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.69  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.70  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.70  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.48/0.73  % Solved by fo/fo6_bce.sh.
% 0.48/0.73  % BCE start: 44
% 0.48/0.73  % BCE eliminated: 4
% 0.48/0.73  % PE start: 40
% 0.48/0.73  logic: eq
% 0.48/0.73  % PE eliminated: 0
% 0.48/0.73  % done 59 iterations in 0.040s
% 0.48/0.73  % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.48/0.73  % SZS output start Refutation
% See solution above
% 0.48/0.73  
% 0.48/0.73  
% 0.48/0.73  % Terminating...
% 0.54/0.80  % Runner terminated.
% 0.54/0.81  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------