TSTP Solution File: KRS082+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS082+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.Sal5O1zvQZ 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 05:56:22 EDT 2023

% Result   : Unsatisfiable 1.05s 0.74s
% Output   : Refutation 1.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   62 (  13 unt;  15 typ;   0 def)
%            Number of atoms       :  123 (   0 equ;   0 cnn)
%            Maximal formula atoms :   17 (   2 avg)
%            Number of connectives :  381 (  60   ~;  50   |;  11   &; 245   @)
%                                         (   4 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   20 (  20   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  15 usr;   2 con; 0-2 aty)
%            Number of variables   :   77 (   0   ^;  72   !;   5   ?;  77   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cowlThing_type,type,
    cowlThing: $i > $o ).

thf(rp_type,type,
    rp: $i > $i > $o ).

thf(i2003_11_14_17_19_28752_type,type,
    i2003_11_14_17_19_28752: $i ).

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

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

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

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

thf(ca_type,type,
    ca: $i > $o ).

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

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

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

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

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

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

thf(rinvP_type,type,
    rinvP: $i > $i > $o ).

thf(axiom_9,axiom,
    cUnsatisfiable @ i2003_11_14_17_19_28752 ).

thf(zip_derived_cl28,plain,
    cUnsatisfiable @ i2003_11_14_17_19_28752,
    inference(cnf,[status(esa)],[axiom_9]) ).

thf(axiom_2,axiom,
    ! [X: $i] :
      ( ( cUnsatisfiable @ X )
     => ? [Y: $i] :
          ( ? [Z: $i] :
              ( ( cowlThing @ Z )
              & ( rr @ Y @ Z ) )
          & ! [Z: $i] :
              ( ( rp @ Y @ Z )
             => ! [W: $i] :
                  ( ( rr @ Z @ W )
                 => ( cc @ W ) ) )
          & ! [Z: $i] :
              ( ( rp @ Y @ Z )
             => ? [W: $i] :
                  ( ( cowlThing @ W )
                  & ( rp @ Z @ W ) ) )
          & ! [Z: $i] :
              ( ( rp @ Y @ Z )
             => ? [W: $i] :
                  ( ( cowlThing @ W )
                  & ( rr @ Z @ W ) ) )
          & ! [Z: $i] :
              ( ( rr @ Y @ Z )
             => ( cc @ Z ) )
          & ? [Z: $i] :
              ( ( cowlThing @ Z )
              & ( rp @ Y @ Z ) )
          & ( rs @ X @ Y ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rp @ ( sk_ @ X0 ) @ X1 )
      | ( rp @ X1 @ ( sk__2 @ X1 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl71,plain,
    ! [X0: $i] :
      ( ( rp @ X0 @ ( sk__2 @ X0 ) )
      | ~ ( rp @ ( sk_ @ i2003_11_14_17_19_28752 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl7]) ).

thf(zip_derived_cl28_001,plain,
    cUnsatisfiable @ i2003_11_14_17_19_28752,
    inference(cnf,[status(esa)],[axiom_9]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i] :
      ( ( rp @ ( sk_ @ X0 ) @ ( sk__4 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl74,plain,
    rp @ ( sk_ @ i2003_11_14_17_19_28752 ) @ ( sk__4 @ i2003_11_14_17_19_28752 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl12]) ).

thf(axiom_8,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( rp @ X @ Y )
        & ( rp @ Y @ Z ) )
     => ( rp @ X @ Z ) ) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( rp @ X0 @ X1 )
      | ~ ( rp @ X1 @ X2 )
      | ( rp @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[axiom_8]) ).

thf(zip_derived_cl91,plain,
    ! [X0: $i] :
      ( ~ ( rp @ ( sk__4 @ i2003_11_14_17_19_28752 ) @ X0 )
      | ( rp @ ( sk_ @ i2003_11_14_17_19_28752 ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl27]) ).

thf(zip_derived_cl98,plain,
    ( ~ ( rp @ ( sk_ @ i2003_11_14_17_19_28752 ) @ ( sk__4 @ i2003_11_14_17_19_28752 ) )
    | ( rp @ ( sk_ @ i2003_11_14_17_19_28752 ) @ ( sk__2 @ ( sk__4 @ i2003_11_14_17_19_28752 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl91]) ).

thf(zip_derived_cl74_002,plain,
    rp @ ( sk_ @ i2003_11_14_17_19_28752 ) @ ( sk__4 @ i2003_11_14_17_19_28752 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl12]) ).

thf(zip_derived_cl99,plain,
    rp @ ( sk_ @ i2003_11_14_17_19_28752 ) @ ( sk__2 @ ( sk__4 @ i2003_11_14_17_19_28752 ) ),
    inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl74]) ).

thf(zip_derived_cl28_003,plain,
    cUnsatisfiable @ i2003_11_14_17_19_28752,
    inference(cnf,[status(esa)],[axiom_9]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rp @ ( sk_ @ X0 ) @ X1 )
      | ( rr @ X1 @ ( sk__3 @ X1 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl72,plain,
    ! [X0: $i] :
      ( ( rr @ X0 @ ( sk__3 @ X0 ) )
      | ~ ( rp @ ( sk_ @ i2003_11_14_17_19_28752 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl9]) ).

thf(zip_derived_cl28_004,plain,
    cUnsatisfiable @ i2003_11_14_17_19_28752,
    inference(cnf,[status(esa)],[axiom_9]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( rp @ ( sk_ @ X0 ) @ X1 )
      | ( cc @ X2 )
      | ~ ( rr @ X1 @ X2 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl70,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rr @ X1 @ X0 )
      | ( cc @ X0 )
      | ~ ( rp @ ( sk_ @ i2003_11_14_17_19_28752 ) @ X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl6]) ).

thf(zip_derived_cl86,plain,
    ! [X0: $i] :
      ( ~ ( rp @ ( sk_ @ i2003_11_14_17_19_28752 ) @ X0 )
      | ~ ( rp @ ( sk_ @ i2003_11_14_17_19_28752 ) @ X0 )
      | ( cc @ ( sk__3 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl72,zip_derived_cl70]) ).

thf(zip_derived_cl122,plain,
    ! [X0: $i] :
      ( ( cc @ ( sk__3 @ X0 ) )
      | ~ ( rp @ ( sk_ @ i2003_11_14_17_19_28752 ) @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl86]) ).

thf(zip_derived_cl72_005,plain,
    ! [X0: $i] :
      ( ( rr @ X0 @ ( sk__3 @ X0 ) )
      | ~ ( rp @ ( sk_ @ i2003_11_14_17_19_28752 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl9]) ).

thf(zip_derived_cl28_006,plain,
    cUnsatisfiable @ i2003_11_14_17_19_28752,
    inference(cnf,[status(esa)],[axiom_9]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i] :
      ( ( rs @ X0 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(axiom_7,axiom,
    ! [X: $i,Y: $i] :
      ( ( rinvS @ X @ Y )
    <=> ( rs @ Y @ X ) ) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i] :
      ( ( rinvS @ X0 @ X1 )
      | ~ ( rs @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_7]) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( rinvS @ ( sk_ @ X0 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl26]) ).

thf(zip_derived_cl75,plain,
    rinvS @ ( sk_ @ i2003_11_14_17_19_28752 ) @ i2003_11_14_17_19_28752,
    inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl37]) ).

thf(zip_derived_cl28_007,plain,
    cUnsatisfiable @ i2003_11_14_17_19_28752,
    inference(cnf,[status(esa)],[axiom_9]) ).

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

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i] :
      ( ( rinvP @ X0 @ X1 )
      | ~ ( rp @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_5]) ).

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

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i] :
      ( ( rinvR @ X0 @ X1 )
      | ~ ( rr @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_6]) ).

thf(axiom_3,axiom,
    ! [X: $i] :
      ( ( cUnsatisfiable @ X )
     => ( ca @ X ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i] :
      ( ( ca @ X0 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_3]) ).

thf(axiom_4,axiom,
    ! [X: $i] :
      ( ( cc @ X )
    <=> ! [Y: $i] :
          ( ( rinvR @ X @ Y )
         => ! [Z: $i] :
              ( ( rinvP @ Y @ Z )
             => ! [W: $i] :
                  ( ( rinvS @ Z @ W )
                 => ~ ( ca @ W ) ) ) ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( rinvR @ X0 @ X1 )
      | ~ ( rinvS @ X2 @ X3 )
      | ~ ( ca @ X3 )
      | ~ ( rinvP @ X1 @ X2 )
      | ~ ( cc @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_4]) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( cUnsatisfiable @ X3 )
      | ~ ( cc @ X0 )
      | ~ ( rinvP @ X2 @ X1 )
      | ~ ( rinvS @ X1 @ X3 )
      | ~ ( rinvR @ X0 @ X2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl16]) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( rr @ X2 @ X3 )
      | ~ ( rinvS @ X1 @ X0 )
      | ~ ( rinvP @ X2 @ X1 )
      | ~ ( cc @ X3 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl24,zip_derived_cl38]) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( rp @ X2 @ X3 )
      | ~ ( cUnsatisfiable @ X0 )
      | ~ ( cc @ X1 )
      | ~ ( rinvS @ X2 @ X0 )
      | ~ ( rr @ X3 @ X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl22,zip_derived_cl45]) ).

thf(zip_derived_cl76,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( rr @ X1 @ X0 )
      | ~ ( rinvS @ X2 @ i2003_11_14_17_19_28752 )
      | ~ ( cc @ X0 )
      | ~ ( rp @ X2 @ X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl52]) ).

thf(zip_derived_cl78,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rp @ ( sk_ @ i2003_11_14_17_19_28752 ) @ X0 )
      | ~ ( cc @ X1 )
      | ~ ( rr @ X0 @ X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl75,zip_derived_cl76]) ).

thf(zip_derived_cl89,plain,
    ! [X0: $i] :
      ( ~ ( rp @ ( sk_ @ i2003_11_14_17_19_28752 ) @ X0 )
      | ~ ( cc @ ( sk__3 @ X0 ) )
      | ~ ( rp @ ( sk_ @ i2003_11_14_17_19_28752 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl72,zip_derived_cl78]) ).

thf(zip_derived_cl96,plain,
    ! [X0: $i] :
      ( ~ ( cc @ ( sk__3 @ X0 ) )
      | ~ ( rp @ ( sk_ @ i2003_11_14_17_19_28752 ) @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl89]) ).

thf(zip_derived_cl123,plain,
    ! [X0: $i] :
      ~ ( rp @ ( sk_ @ i2003_11_14_17_19_28752 ) @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl122,zip_derived_cl96]) ).

thf(zip_derived_cl127,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl99,zip_derived_cl123]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KRS082+1 : TPTP v8.1.2. Released v3.1.0.
% 0.13/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Sal5O1zvQZ true
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 02:11:07 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.19/0.34  % Python version: Python 3.6.8
% 0.19/0.35  % Running in FO mode
% 0.20/0.62  % Total configuration time : 435
% 0.20/0.62  % Estimated wc time : 1092
% 0.20/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.05/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.05/0.74  % Solved by fo/fo6_bce.sh.
% 1.05/0.74  % BCE start: 29
% 1.05/0.74  % BCE eliminated: 6
% 1.05/0.74  % PE start: 23
% 1.05/0.74  logic: neq
% 1.05/0.74  % PE eliminated: 10
% 1.05/0.74  % done 21 iterations in 0.017s
% 1.05/0.74  % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.05/0.74  % SZS output start Refutation
% See solution above
% 1.05/0.74  
% 1.05/0.74  
% 1.05/0.74  % Terminating...
% 1.65/0.83  % Runner terminated.
% 1.65/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------