TSTP Solution File: KRS071+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS071+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.KC0BtRKPzs 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 05:56:20 EDT 2023

% Result   : Unsatisfiable 0.21s 0.75s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   48 (   4 unt;  11 typ;   0 def)
%            Number of atoms       :  122 (  33 equ;   0 cnn)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  311 (  60   ~;  73   |;   8   &; 166   @)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   2 con; 0-2 aty)
%            Number of variables   :   49 (   0   ^;  46   !;   3   ?;  49   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cp5_type,type,
    cp5: $i > $o ).

thf(cp4_type,type,
    cp4: $i > $o ).

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

thf(cp3_type,type,
    cp3: $i > $o ).

thf(i2003_11_14_17_18_39380_type,type,
    i2003_11_14_17_18_39380: $i ).

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

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

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

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

thf(cp2_type,type,
    cp2: $i > $o ).

thf(cp1_type,type,
    cp1: $i > $o ).

thf(axiom_2,axiom,
    ! [X: $i] :
      ( ( cUnsatisfiable @ X )
    <=> ( ? [Y: $i] :
            ( ( cp1 @ Y )
            & ( rr @ X @ Y ) )
        & ? [Y: $i] :
            ( ( cp2 @ Y )
            & ( rr @ X @ Y ) )
        & ? [Y: $i] :
            ( ( cp3 @ Y )
            & ( rr @ X @ Y ) )
        & ! [Y0: $i,Y1: $i,Y2: $i] :
            ( ( ( rr @ X @ Y0 )
              & ( rr @ X @ Y1 )
              & ( rr @ X @ Y2 ) )
           => ( ( Y0 = Y1 )
              | ( Y0 = Y2 )
              | ( Y1 = Y2 ) ) ) ) ) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i] :
      ( ( rr @ X0 @ ( sk__5 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i] :
      ( ( rr @ X0 @ ( sk__4 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i] :
      ( ( rr @ X0 @ ( sk__3 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = X0 )
      | ( X2 = X0 )
      | ~ ( rr @ X3 @ X0 )
      | ~ ( rr @ X3 @ X2 )
      | ~ ( rr @ X3 @ X1 )
      | ( X2 = X1 )
      | ~ ( cUnsatisfiable @ X3 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl248,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( X1
        = ( sk__3 @ X0 ) )
      | ( X2
        = ( sk__3 @ X0 ) )
      | ~ ( rr @ X0 @ X2 )
      | ~ ( rr @ X0 @ X1 )
      | ( X2 = X1 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl24]) ).

thf(zip_derived_cl255,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2 = X1 )
      | ~ ( rr @ X0 @ X1 )
      | ~ ( rr @ X0 @ X2 )
      | ( X2
        = ( sk__3 @ X0 ) )
      | ( X1
        = ( sk__3 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl248]) ).

thf(zip_derived_cl259,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( X1
        = ( sk__4 @ X0 ) )
      | ~ ( rr @ X0 @ X1 )
      | ( X1
        = ( sk__3 @ X0 ) )
      | ( ( sk__4 @ X0 )
        = ( sk__3 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl255]) ).

thf(zip_derived_cl264,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sk__4 @ X0 )
        = ( sk__3 @ X0 ) )
      | ( X1
        = ( sk__3 @ X0 ) )
      | ~ ( rr @ X0 @ X1 )
      | ( X1
        = ( sk__4 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl259]) ).

thf(zip_derived_cl268,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( ( sk__4 @ X0 )
        = ( sk__3 @ X0 ) )
      | ( ( sk__5 @ X0 )
        = ( sk__3 @ X0 ) )
      | ( ( sk__5 @ X0 )
        = ( sk__4 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl264]) ).

thf(zip_derived_cl271,plain,
    ! [X0: $i] :
      ( ( ( sk__5 @ X0 )
        = ( sk__4 @ X0 ) )
      | ( ( sk__5 @ X0 )
        = ( sk__3 @ X0 ) )
      | ( ( sk__4 @ X0 )
        = ( sk__3 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl268]) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i] :
      ( ( cp3 @ ( sk__5 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(axiom_4,axiom,
    ! [X: $i] :
      ( ( cp2 @ X )
     => ~ ( ( cp4 @ X )
          | ( cp3 @ X )
          | ( cp5 @ X ) ) ) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i] :
      ( ~ ( cp3 @ X0 )
      | ~ ( cp2 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_4]) ).

thf(zip_derived_cl244,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( cp2 @ ( sk__5 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl36]) ).

thf(zip_derived_cl297,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( ( sk__4 @ X0 )
        = ( sk__3 @ X0 ) )
      | ( ( sk__5 @ X0 )
        = ( sk__3 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 )
      | ~ ( cp2 @ ( sk__4 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl271,zip_derived_cl244]) ).

thf(zip_derived_cl302,plain,
    ! [X0: $i] :
      ( ~ ( cp2 @ ( sk__4 @ X0 ) )
      | ( ( sk__5 @ X0 )
        = ( sk__3 @ X0 ) )
      | ( ( sk__4 @ X0 )
        = ( sk__3 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl297]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i] :
      ( ( cp2 @ ( sk__4 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl311,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( ( sk__4 @ X0 )
        = ( sk__3 @ X0 ) )
      | ( ( sk__5 @ X0 )
        = ( sk__3 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl302,zip_derived_cl21]) ).

thf(zip_derived_cl23_001,plain,
    ! [X0: $i] :
      ( ( cp3 @ ( sk__5 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(axiom_3,axiom,
    ! [X: $i] :
      ( ( cp1 @ X )
     => ~ ( ( cp4 @ X )
          | ( cp2 @ X )
          | ( cp3 @ X )
          | ( cp5 @ X ) ) ) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i] :
      ( ~ ( cp3 @ X0 )
      | ~ ( cp1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_3]) ).

thf(zip_derived_cl243,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( cp1 @ ( sk__5 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl33]) ).

thf(zip_derived_cl314,plain,
    ! [X0: $i] :
      ( ( ( sk__4 @ X0 )
        = ( sk__3 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 )
      | ~ ( cUnsatisfiable @ X0 )
      | ~ ( cp1 @ ( sk__3 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl311,zip_derived_cl243]) ).

thf(zip_derived_cl318,plain,
    ! [X0: $i] :
      ( ~ ( cp1 @ ( sk__3 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 )
      | ( ( sk__4 @ X0 )
        = ( sk__3 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl314]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i] :
      ( ( cp1 @ ( sk__3 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl320,plain,
    ! [X0: $i] :
      ( ( ( sk__4 @ X0 )
        = ( sk__3 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl318,zip_derived_cl19]) ).

thf(zip_derived_cl21_002,plain,
    ! [X0: $i] :
      ( ( cp2 @ ( sk__4 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i] :
      ( ~ ( cp2 @ X0 )
      | ~ ( cp1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_3]) ).

thf(zip_derived_cl241,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( cp1 @ ( sk__4 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl32]) ).

thf(zip_derived_cl323,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( cUnsatisfiable @ X0 )
      | ~ ( cp1 @ ( sk__3 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl320,zip_derived_cl241]) ).

thf(zip_derived_cl326,plain,
    ! [X0: $i] :
      ( ~ ( cp1 @ ( sk__3 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl323]) ).

thf(zip_derived_cl19_003,plain,
    ! [X0: $i] :
      ( ( cp1 @ ( sk__3 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl327,plain,
    ! [X0: $i] :
      ~ ( cUnsatisfiable @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl326,zip_derived_cl19]) ).

thf(axiom_8,axiom,
    cUnsatisfiable @ i2003_11_14_17_18_39380 ).

thf(zip_derived_cl43,plain,
    cUnsatisfiable @ i2003_11_14_17_18_39380,
    inference(cnf,[status(esa)],[axiom_8]) ).

thf(zip_derived_cl331,plain,
    $false,
    inference('s_sup+',[status(thm)],[zip_derived_cl327,zip_derived_cl43]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KRS071+1 : TPTP v8.1.2. Released v3.1.0.
% 0.14/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KC0BtRKPzs true
% 0.14/0.34  % Computer : n004.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon Aug 28 01:38:37 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % 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
% 0.21/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.75  % Solved by fo/fo6_bce.sh.
% 0.21/0.75  % BCE start: 44
% 0.21/0.75  % BCE eliminated: 13
% 0.21/0.75  % PE start: 31
% 0.21/0.75  logic: eq
% 0.21/0.75  % PE eliminated: 0
% 0.21/0.75  % done 43 iterations in 0.044s
% 0.21/0.75  % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.75  % SZS output start Refutation
% See solution above
% 0.21/0.75  
% 0.21/0.75  
% 0.21/0.75  % Terminating...
% 1.53/0.84  % Runner terminated.
% 1.53/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------