TSTP Solution File: KRS084+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS084+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.qxMlFOzLU8 true

% Computer : n019.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 05:56:23 EDT 2023

% Result   : Unsatisfiable 0.24s 0.83s
% Output   : Refutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   51 (   4 unt;  11 typ;   0 def)
%            Number of atoms       :   94 (   5 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  270 (  46   ~;  40   |;   7   &; 170   @)
%                                         (   4 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   2 con; 0-2 aty)
%            Number of variables   :   59 (   0   ^;  56   !;   3   ?;  59   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cc_type,type,
    cc: $i > $o ).

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

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

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

thf(i2003_11_14_17_19_35232_type,type,
    i2003_11_14_17_19_35232: $i ).

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

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

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

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

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

thf(cd_type,type,
    cd: $i > $o ).

thf(axiom_2,axiom,
    ! [X: $i] :
      ( ( cUnsatisfiable @ X )
    <=> ( ? [Y: $i] :
            ( ( cd @ Y )
            & ( rinvF @ X @ Y ) )
        & ! [Y: $i] :
            ( ( rinvR @ X @ Y )
           => ? [Z: $i] :
                ( ( cd @ Z )
                & ( rinvF @ Y @ Z ) ) )
        & ~ ( cc @ X ) ) ) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i] :
      ( ( rinvF @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(axiom_5,axiom,
    ! [X: $i,Y: $i] :
      ( ( rinvF @ X @ Y )
    <=> ( rf @ Y @ X ) ) ).

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

thf(zip_derived_cl46,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( rf @ ( sk__1 @ X0 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl31]) ).

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

thf(zip_derived_cl37,plain,
    ! [X0: $i,X1: $i] :
      ( ( rr @ X0 @ X1 )
      | ~ ( rf @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[axiom_9]) ).

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

thf(zip_derived_cl34,plain,
    ! [X0: $i,X1: $i] :
      ( ( rinvR @ X0 @ X1 )
      | ~ ( rr @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_6]) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rf @ X1 @ X0 )
      | ( rinvR @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl34]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rinvR @ X0 @ X1 )
      | ( rinvF @ X1 @ ( sk__2 @ X1 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl90,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rf @ X0 @ X1 )
      | ~ ( cUnsatisfiable @ X1 )
      | ( rinvF @ X0 @ ( sk__2 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl21]) ).

thf(zip_derived_cl92,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( rinvF @ ( sk__1 @ X0 ) @ ( sk__2 @ ( sk__1 @ X0 ) ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl90]) ).

thf(zip_derived_cl93,plain,
    ! [X0: $i] :
      ( ( rinvF @ ( sk__1 @ X0 ) @ ( sk__2 @ ( sk__1 @ X0 ) ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl92]) ).

thf(zip_derived_cl31_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( rf @ X0 @ X1 )
      | ~ ( rinvF @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_5]) ).

thf(zip_derived_cl96,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( rf @ ( sk__2 @ ( sk__1 @ X0 ) ) @ ( sk__1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl31]) ).

thf(axiom_3,axiom,
    ! [X: $i] :
      ( ( cd @ X )
    <=> ( ? [Y: $i] :
            ( ~ ( cc @ Y )
            & ( rf @ X @ Y ) )
        & ( cc @ X ) ) ) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i] :
      ( ( rf @ X0 @ ( sk__3 @ X0 ) )
      | ~ ( cd @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_3]) ).

thf(axiom_4,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( rf @ X @ Y )
        & ( rf @ X @ Z ) )
     => ( Y = Z ) ) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( rf @ X0 @ X1 )
      | ~ ( rf @ X0 @ X2 )
      | ( X1 = X2 ) ),
    inference(cnf,[status(esa)],[axiom_4]) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cd @ X0 )
      | ( ( sk__3 @ X0 )
        = X1 )
      | ~ ( rf @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl30]) ).

thf(zip_derived_cl98,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( ( sk__3 @ ( sk__2 @ ( sk__1 @ X0 ) ) )
        = ( sk__1 @ X0 ) )
      | ~ ( cd @ ( sk__2 @ ( sk__1 @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl50]) ).

thf(zip_derived_cl46_002,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( rf @ ( sk__1 @ X0 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl31]) ).

thf(zip_derived_cl49_003,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rf @ X1 @ X0 )
      | ( rinvR @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl34]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rinvR @ X0 @ X1 )
      | ( cd @ ( sk__2 @ X1 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl64,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rf @ X0 @ X1 )
      | ~ ( cUnsatisfiable @ X1 )
      | ( cd @ ( sk__2 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl22]) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( cd @ ( sk__2 @ ( sk__1 @ X0 ) ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl64]) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i] :
      ( ( cd @ ( sk__2 @ ( sk__1 @ X0 ) ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl67]) ).

thf(zip_derived_cl105,plain,
    ! [X0: $i] :
      ( ( ( sk__3 @ ( sk__2 @ ( sk__1 @ X0 ) ) )
        = ( sk__1 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl98,zip_derived_cl68]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i] :
      ( ~ ( cc @ ( sk__3 @ X0 ) )
      | ~ ( cd @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_3]) ).

thf(zip_derived_cl107,plain,
    ! [X0: $i] :
      ( ~ ( cc @ ( sk__1 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 )
      | ~ ( cd @ ( sk__2 @ ( sk__1 @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl105,zip_derived_cl27]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i] :
      ( ( cd @ ( sk__1 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i] :
      ( ( cc @ X0 )
      | ~ ( cd @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_3]) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( cc @ ( sk__1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl28]) ).

thf(zip_derived_cl113,plain,
    ! [X0: $i] :
      ( ~ ( cd @ ( sk__2 @ ( sk__1 @ X0 ) ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl107,zip_derived_cl40]) ).

thf(zip_derived_cl68_004,plain,
    ! [X0: $i] :
      ( ( cd @ ( sk__2 @ ( sk__1 @ X0 ) ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl67]) ).

thf(zip_derived_cl114,plain,
    ! [X0: $i] :
      ~ ( cUnsatisfiable @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl113,zip_derived_cl68]) ).

thf(axiom_8,axiom,
    cUnsatisfiable @ i2003_11_14_17_19_35232 ).

thf(zip_derived_cl36,plain,
    cUnsatisfiable @ i2003_11_14_17_19_35232,
    inference(cnf,[status(esa)],[axiom_8]) ).

thf(zip_derived_cl115,plain,
    $false,
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl36]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15  % Problem  : KRS084+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qxMlFOzLU8 true
% 0.19/0.37  % Computer : n019.cluster.edu
% 0.19/0.37  % Model    : x86_64 x86_64
% 0.19/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.37  % Memory   : 8042.1875MB
% 0.19/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.37  % CPULimit : 300
% 0.19/0.37  % WCLimit  : 300
% 0.19/0.37  % DateTime : Mon Aug 28 01:16:28 EDT 2023
% 0.19/0.38  % CPUTime  : 
% 0.19/0.38  % Running portfolio for 300 s
% 0.19/0.38  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.38  % Number of cores: 8
% 0.19/0.38  % Python version: Python 3.6.8
% 0.19/0.38  % Running in FO mode
% 0.24/0.64  % Total configuration time : 435
% 0.24/0.64  % Estimated wc time : 1092
% 0.24/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.24/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.24/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.24/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.24/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.24/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.24/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.24/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.24/0.83  % Solved by fo/fo7.sh.
% 0.24/0.83  % done 68 iterations in 0.034s
% 0.24/0.83  % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.24/0.83  % SZS output start Refutation
% See solution above
% 0.24/0.83  
% 0.24/0.83  
% 0.24/0.83  % Terminating...
% 1.90/0.95  % Runner terminated.
% 1.90/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------