TSTP Solution File: KRS109+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS109+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.SWNOkgnc8C true

% Computer : n021.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 05:56:29 EDT 2023

% Result   : Unsatisfiable 0.22s 0.77s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   57 (   4 unt;  14 typ;   0 def)
%            Number of atoms       :  102 (   6 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  253 (  48   ~;  43   |;   5   &; 146   @)
%                                         (   7 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   18 (  18   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   2 con; 0-2 aty)
%            Number of variables   :   64 (   0   ^;  60   !;   4   ?;  64   :)

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

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

thf(sk__5_type,type,
    sk__5: $i > $i ).

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

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

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

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

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

thf(i2003_11_14_17_21_08508_type,type,
    i2003_11_14_17_21_08508: $i ).

thf(rinvS_type,type,
    rinvS: $i > $i > $o ).

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

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

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

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

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

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

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

thf(zip_derived_cl42,plain,
    ! [X0: $i] :
      ( ( rs @ X0 @ ( sk__5 @ X0 ) )
      | ~ ( ca_Vx3 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_6]) ).

thf(axiom_14,axiom,
    ! [X: $i,Y: $i] :
      ( ( rs @ X @ Y )
     => ( rf @ X @ Y ) ) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i,X1: $i] :
      ( ( rf @ X0 @ X1 )
      | ~ ( rs @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[axiom_14]) ).

thf(axiom_7,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( rf @ X @ Y )
        & ( rf @ X @ Z ) )
     => ( Y = Z ) ) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( rf @ X0 @ X1 )
      | ~ ( rf @ X0 @ X2 )
      | ( X1 = X2 ) ),
    inference(cnf,[status(esa)],[axiom_7]) ).

thf(zip_derived_cl294,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( rs @ X1 @ X0 )
      | ~ ( rf @ X1 @ X2 )
      | ( X0 = X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl44]) ).

thf(zip_derived_cl317,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ca_Vx3 @ X0 )
      | ~ ( rf @ X0 @ X1 )
      | ( ( sk__5 @ X0 )
        = X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl294]) ).

thf(zip_derived_cl335,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( ca_Vx3 @ X0 )
      | ( ( sk__5 @ X0 )
        = ( sk_ @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl317]) ).

thf(zip_derived_cl28_001,plain,
    ! [X0: $i] :
      ( ( rf @ X0 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

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

thf(zip_derived_cl47,plain,
    ! [X0: $i,X1: $i] :
      ( ( rinvF @ X0 @ X1 )
      | ~ ( rf @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_9]) ).

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

thf(zip_derived_cl36,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rinvF @ X0 @ X1 )
      | ( ca_Vx3 @ X1 )
      | ~ ( ca_Ax2 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_5]) ).

thf(zip_derived_cl311,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rf @ X0 @ X1 )
      | ( ca_Vx3 @ X0 )
      | ~ ( ca_Ax2 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl36]) ).

thf(zip_derived_cl327,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( ca_Vx3 @ X0 )
      | ~ ( ca_Ax2 @ ( sk_ @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl311]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i] :
      ( ( ca_Ax2 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl329,plain,
    ! [X0: $i] :
      ( ( ca_Vx3 @ X0 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl327,zip_derived_cl29]) ).

thf(zip_derived_cl338,plain,
    ! [X0: $i] :
      ( ( ( sk__5 @ X0 )
        = ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl335,zip_derived_cl329]) ).

thf(zip_derived_cl42_002,plain,
    ! [X0: $i] :
      ( ( rs @ X0 @ ( sk__5 @ X0 ) )
      | ~ ( ca_Vx3 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_6]) ).

thf(axiom_11,axiom,
    ! [X: $i,Y: $i] :
      ( ( rinvS @ X @ Y )
    <=> ( rs @ Y @ X ) ) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i] :
      ( ( rinvS @ X0 @ X1 )
      | ~ ( rs @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_11]) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rinvS @ X0 @ X1 )
      | ( cp @ X1 )
      | ~ ( ca_Ax2 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_5]) ).

thf(zip_derived_cl309,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rs @ X0 @ X1 )
      | ( cp @ X0 )
      | ~ ( ca_Ax2 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl35]) ).

thf(zip_derived_cl314,plain,
    ! [X0: $i] :
      ( ~ ( ca_Vx3 @ X0 )
      | ( cp @ X0 )
      | ~ ( ca_Ax2 @ ( sk__5 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl309]) ).

thf(zip_derived_cl341,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( ca_Vx3 @ X0 )
      | ( cp @ X0 )
      | ~ ( ca_Ax2 @ ( sk_ @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl338,zip_derived_cl314]) ).

thf(zip_derived_cl329_003,plain,
    ! [X0: $i] :
      ( ( ca_Vx3 @ X0 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl327,zip_derived_cl29]) ).

thf(zip_derived_cl362,plain,
    ! [X0: $i] :
      ( ~ ( ca_Ax2 @ ( sk_ @ X0 ) )
      | ( cp @ X0 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl341,zip_derived_cl329]) ).

thf(zip_derived_cl29_004,plain,
    ! [X0: $i] :
      ( ( ca_Ax2 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl363,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( cp @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl362,zip_derived_cl29]) ).

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__2 @ 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_cl301,plain,
    ! [X0: $i] :
      ( ~ ( cpxcomp @ X0 )
      | ~ ( cp @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl31]) ).

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

thf(zip_derived_cl303,plain,
    ! [X0: $i] :
      ( ~ ( cp @ X0 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl301,zip_derived_cl27]) ).

thf(zip_derived_cl364,plain,
    ! [X0: $i] :
      ~ ( cUnsatisfiable @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl363,zip_derived_cl303]) ).

thf(axiom_13,axiom,
    cUnsatisfiable @ i2003_11_14_17_21_08508 ).

thf(zip_derived_cl53,plain,
    cUnsatisfiable @ i2003_11_14_17_21_08508,
    inference(cnf,[status(esa)],[axiom_13]) ).

thf(zip_derived_cl368,plain,
    $false,
    inference('s_sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl53]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem  : KRS109+1 : TPTP v8.1.2. Released v3.1.0.
% 0.10/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SWNOkgnc8C true
% 0.13/0.35  % Computer : n021.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 01:50:44 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/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
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77  % Solved by fo/fo6_bce.sh.
% 0.22/0.77  % BCE start: 56
% 0.22/0.77  % BCE eliminated: 4
% 0.22/0.77  % PE start: 52
% 0.22/0.77  logic: eq
% 0.22/0.77  % PE eliminated: 0
% 0.22/0.77  % done 89 iterations in 0.032s
% 0.22/0.77  % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.77  % SZS output start Refutation
% See solution above
% 0.22/0.77  
% 0.22/0.77  
% 0.22/0.78  % Terminating...
% 1.61/0.86  % Runner terminated.
% 1.61/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------