TSTP Solution File: KRS118+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS118+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.byH3x5170T true

% Computer : n028.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 05:56:31 EDT 2023

% Result   : Unsatisfiable 0.24s 0.78s
% Output   : Refutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   59 (   4 unt;  15 typ;   0 def)
%            Number of atoms       :  100 (   5 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  254 (  48   ~;  39   |;   7   &; 150   @)
%                                         (   7 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   19 (  19   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   2 con; 0-2 aty)
%            Number of variables   :   63 (   0   ^;  58   !;   5   ?;  63   :)

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

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

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

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

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

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

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

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

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

thf(i2003_11_14_17_21_4056_type,type,
    i2003_11_14_17_21_4056: $i ).

thf(sk__4_type,type,
    sk__4: $i > $i ).

thf(ccxcomp_type,type,
    ccxcomp: $i > $o ).

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

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

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

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

thf(zip_derived_cl38,plain,
    ! [X0: $i] :
      ( ( rinvF @ X0 @ ( sk__5 @ X0 ) )
      | ~ ( ca_Vx3 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_6]) ).

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

thf(zip_derived_cl41,plain,
    ! [X0: $i,X1: $i] :
      ( ( rf @ X0 @ X1 )
      | ~ ( rinvF @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_8]) ).

thf(zip_derived_cl284,plain,
    ! [X0: $i] :
      ( ~ ( ca_Vx3 @ X0 )
      | ( rf @ ( sk__5 @ X0 ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl41]) ).

thf(axiom_5,axiom,
    ! [X: $i] :
      ( ( cd @ X )
    <=> ( ? [Y: $i] :
            ( ( ccxcomp @ Y )
            & ( rf @ X @ Y ) )
        & ( cc @ X ) ) ) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i] :
      ( ( rf @ X0 @ ( sk__4 @ X0 ) )
      | ~ ( cd @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_5]) ).

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

thf(zip_derived_cl40,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( rf @ X0 @ X1 )
      | ~ ( rf @ X0 @ X2 )
      | ( X1 = X2 ) ),
    inference(cnf,[status(esa)],[axiom_7]) ).

thf(zip_derived_cl275,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cd @ X0 )
      | ~ ( rf @ X0 @ X1 )
      | ( ( sk__4 @ X0 )
        = X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl40]) ).

thf(zip_derived_cl300,plain,
    ! [X0: $i] :
      ( ~ ( ca_Vx3 @ X0 )
      | ~ ( cd @ ( sk__5 @ X0 ) )
      | ( ( sk__4 @ ( sk__5 @ X0 ) )
        = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl284,zip_derived_cl275]) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i] :
      ( ( cd @ ( sk__5 @ X0 ) )
      | ~ ( ca_Vx3 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_6]) ).

thf(zip_derived_cl323,plain,
    ! [X0: $i] :
      ( ( ( sk__4 @ ( sk__5 @ X0 ) )
        = X0 )
      | ~ ( ca_Vx3 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl300,zip_derived_cl37]) ).

thf(axiom_4,axiom,
    ! [X: $i] :
      ( ( ccxcomp @ X )
    <=> ? [Y0: $i] : ( ra_Px1 @ X @ Y0 ) ) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i] :
      ( ( ra_Px1 @ X0 @ ( sk__3 @ X0 ) )
      | ~ ( ccxcomp @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_4]) ).

thf(axiom_3,axiom,
    ! [X: $i] :
      ( ( cc @ X )
    <=> ~ ? [Y: $i] : ( ra_Px1 @ X @ Y ) ) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ra_Px1 @ X0 @ X1 )
      | ~ ( cc @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_3]) ).

thf(zip_derived_cl264,plain,
    ! [X0: $i] :
      ( ~ ( ccxcomp @ X0 )
      | ~ ( cc @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl29]) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i] :
      ( ( cc @ X0 )
      | ~ ( cd @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_5]) ).

thf(zip_derived_cl267,plain,
    ! [X0: $i] :
      ( ~ ( ccxcomp @ X0 )
      | ~ ( cd @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl264,zip_derived_cl35]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i] :
      ( ( ccxcomp @ ( sk__4 @ X0 ) )
      | ~ ( cd @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_5]) ).

thf(zip_derived_cl272,plain,
    ! [X0: $i] :
      ( ~ ( cd @ ( sk__4 @ X0 ) )
      | ~ ( cd @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl267,zip_derived_cl34]) ).

thf(zip_derived_cl326,plain,
    ! [X0: $i] :
      ( ~ ( ca_Vx3 @ X0 )
      | ~ ( cd @ X0 )
      | ~ ( cd @ ( sk__5 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl323,zip_derived_cl272]) ).

thf(zip_derived_cl37_001,plain,
    ! [X0: $i] :
      ( ( cd @ ( sk__5 @ X0 ) )
      | ~ ( ca_Vx3 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_6]) ).

thf(zip_derived_cl332,plain,
    ! [X0: $i] :
      ( ~ ( cd @ X0 )
      | ~ ( ca_Vx3 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl326,zip_derived_cl37]) ).

thf(axiom_2,axiom,
    ! [X: $i] :
      ( ( cUnsatisfiable @ X )
    <=> ( ! [Y: $i] :
            ( ( rinvR @ X @ Y )
           => ( ca_Vx3 @ Y ) )
        & ? [Y: $i] :
            ( ( cd @ Y )
            & ( rinvF @ X @ Y ) )
        & ( ccxcomp @ X ) ) ) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i] :
      ( ( rinvF @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl41_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( rf @ X0 @ X1 )
      | ~ ( rinvF @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_8]) ).

thf(zip_derived_cl258,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( rf @ ( sk__1 @ X0 ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl41]) ).

thf(axiom_12,axiom,
    ! [X: $i,Y: $i] :
      ( ( rf @ X @ Y )
     => ( rr @ X @ Y ) ) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i,X1: $i] :
      ( ( rr @ X0 @ X1 )
      | ~ ( rf @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[axiom_12]) ).

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

thf(zip_derived_cl44,plain,
    ! [X0: $i,X1: $i] :
      ( ( rinvR @ X0 @ X1 )
      | ~ ( rr @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_9]) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rinvR @ X0 @ X1 )
      | ( ca_Vx3 @ X1 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl256,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rr @ X0 @ X1 )
      | ( ca_Vx3 @ X0 )
      | ~ ( cUnsatisfiable @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl23]) ).

thf(zip_derived_cl263,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rf @ X1 @ X0 )
      | ( ca_Vx3 @ X1 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl256]) ).

thf(zip_derived_cl291,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( ca_Vx3 @ ( sk__1 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl263]) ).

thf(zip_derived_cl292,plain,
    ! [X0: $i] :
      ( ( ca_Vx3 @ ( sk__1 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl291]) ).

thf(zip_derived_cl334,plain,
    ! [X0: $i] :
      ( ~ ( cd @ ( sk__1 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl332,zip_derived_cl292]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i] :
      ( ( cd @ ( sk__1 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl341,plain,
    ! [X0: $i] :
      ~ ( cUnsatisfiable @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl334,zip_derived_cl25]) ).

thf(axiom_11,axiom,
    cUnsatisfiable @ i2003_11_14_17_21_4056 ).

thf(zip_derived_cl46,plain,
    cUnsatisfiable @ i2003_11_14_17_21_4056,
    inference(cnf,[status(esa)],[axiom_11]) ).

thf(zip_derived_cl346,plain,
    $false,
    inference('s_sup+',[status(thm)],[zip_derived_cl341,zip_derived_cl46]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : KRS118+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.16  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.byH3x5170T true
% 0.16/0.37  % Computer : n028.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Mon Aug 28 01:26:09 EDT 2023
% 0.16/0.37  % CPUTime  : 
% 0.16/0.37  % Running portfolio for 300 s
% 0.16/0.37  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.37  % Number of cores: 8
% 0.16/0.38  % Python version: Python 3.6.8
% 0.16/0.38  % Running in FO mode
% 0.24/0.66  % Total configuration time : 435
% 0.24/0.66  % Estimated wc time : 1092
% 0.24/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.24/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.24/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.24/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.24/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.24/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.24/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.24/0.78  % Solved by fo/fo6_bce.sh.
% 0.24/0.78  % BCE start: 48
% 0.24/0.78  % BCE eliminated: 4
% 0.24/0.78  % PE start: 44
% 0.24/0.78  logic: eq
% 0.24/0.78  % PE eliminated: 0
% 0.24/0.78  % done 79 iterations in 0.033s
% 0.24/0.78  % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.24/0.78  % SZS output start Refutation
% See solution above
% 0.24/0.78  
% 0.24/0.78  
% 0.24/0.78  % Terminating...
% 0.24/0.87  % Runner terminated.
% 0.24/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------