TSTP Solution File: KRS171+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS171+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.b0mY32Pk5Q true

% Computer : n016.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 05:56:45 EDT 2023

% Result   : Theorem 0.20s 0.75s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   61 (  13 unt;  10 typ;   0 def)
%            Number of atoms       :  149 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  378 (  70   ~;  84   |;   7   &; 210   @)
%                                         (   5 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :   34 (   0   ^;  34   !;   0   ?;  34   :)

% Comments : 
%------------------------------------------------------------------------------
thf(rhasHead_type,type,
    rhasHead: $i > $i > $o ).

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

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

thf(xsd_integer_type,type,
    xsd_integer: $i > $o ).

thf(cowlNothing_type,type,
    cowlNothing: $i > $o ).

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

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

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

thf(rhasLeader_type,type,
    rhasLeader: $i > $i > $o ).

thf(xsd_string_type,type,
    xsd_string: $i > $o ).

thf(axiom_3,axiom,
    ! [X: $i,Y: $i] :
      ( ( rhasLeader @ X @ Y )
     => ( rhasHead @ X @ Y ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( rhasHead @ X0 @ X1 )
      | ~ ( rhasLeader @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[axiom_3]) ).

thf(axiom_1,axiom,
    ! [X: $i] :
      ( ( xsd_string @ X )
    <=> ~ ( xsd_integer @ X ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( ( xsd_string @ X0 )
      | ( xsd_integer @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_1]) ).

thf(axiom_0,axiom,
    ! [X: $i] :
      ( ~ ( cowlNothing @ X )
      & ( cowlThing @ X ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] : ( cowlThing @ X0 ),
    inference(cnf,[status(esa)],[axiom_0]) ).

thf(the_axiom,conjecture,
    ( ! [X: $i] :
        ( ~ ( cowlNothing @ X )
        & ( cowlThing @ X ) )
    & ! [X: $i] :
        ( ( xsd_string @ X )
      <=> ~ ( xsd_integer @ X ) )
    & ! [X: $i,Y: $i] :
        ( ( rhasLeader @ X @ Y )
      <=> ( rhasHead @ X @ Y ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [X: $i] :
          ( ~ ( cowlNothing @ X )
          & ( cowlThing @ X ) )
      & ! [X: $i] :
          ( ( xsd_string @ X )
        <=> ~ ( xsd_integer @ X ) )
      & ! [X: $i,Y: $i] :
          ( ( rhasLeader @ X @ Y )
        <=> ( rhasHead @ X @ Y ) ) ),
    inference('cnf.neg',[status(esa)],[the_axiom]) ).

thf(zip_derived_cl6,plain,
    ( ~ ( cowlThing @ sk_ )
    | ( cowlNothing @ sk_ )
    | ~ ( xsd_string @ sk__1 )
    | ( xsd_integer @ sk__1 )
    | ~ ( rhasHead @ sk__2 @ sk__3 )
    | ~ ( rhasLeader @ sk__2 @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    ( ~ ( rhasLeader @ sk__2 @ sk__3 )
    | ~ ( rhasHead @ sk__2 @ sk__3 )
    | ( xsd_integer @ sk__1 )
    | ~ ( xsd_string @ sk__1 )
    | ( cowlNothing @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl6]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i] :
      ~ ( cowlNothing @ X0 ),
    inference(cnf,[status(esa)],[axiom_0]) ).

thf(zip_derived_cl14,plain,
    ( ~ ( xsd_string @ sk__1 )
    | ( xsd_integer @ sk__1 )
    | ~ ( rhasHead @ sk__2 @ sk__3 )
    | ~ ( rhasLeader @ sk__2 @ sk__3 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl1]) ).

thf(zip_derived_cl19,plain,
    ( ( xsd_integer @ sk__1 )
    | ~ ( rhasLeader @ sk__2 @ sk__3 )
    | ~ ( rhasHead @ sk__2 @ sk__3 )
    | ( xsd_integer @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl14]) ).

thf(zip_derived_cl28,plain,
    ( ~ ( rhasLeader @ sk__2 @ sk__3 )
    | ( xsd_integer @ sk__1 )
    | ~ ( rhasLeader @ sk__2 @ sk__3 )
    | ( xsd_integer @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl19]) ).

thf(zip_derived_cl39,plain,
    ( ( xsd_integer @ sk__1 )
    | ~ ( rhasLeader @ sk__2 @ sk__3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $i] : ( cowlThing @ X0 ),
    inference(cnf,[status(esa)],[axiom_0]) ).

thf(zip_derived_cl9,plain,
    ( ~ ( cowlThing @ sk_ )
    | ( cowlNothing @ sk_ )
    | ( xsd_string @ sk__1 )
    | ~ ( xsd_integer @ sk__1 )
    | ( rhasHead @ sk__2 @ sk__3 )
    | ( rhasLeader @ sk__2 @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13,plain,
    ( ( rhasLeader @ sk__2 @ sk__3 )
    | ( rhasHead @ sk__2 @ sk__3 )
    | ~ ( xsd_integer @ sk__1 )
    | ( xsd_string @ sk__1 )
    | ( cowlNothing @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl9]) ).

thf(zip_derived_cl1_002,plain,
    ! [X0: $i] :
      ~ ( cowlNothing @ X0 ),
    inference(cnf,[status(esa)],[axiom_0]) ).

thf(zip_derived_cl17,plain,
    ( ( xsd_string @ sk__1 )
    | ~ ( xsd_integer @ sk__1 )
    | ( rhasHead @ sk__2 @ sk__3 )
    | ( rhasLeader @ sk__2 @ sk__3 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl13,zip_derived_cl1]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ( ~ ( xsd_integer @ X0 )
      | ~ ( xsd_string @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_1]) ).

thf(zip_derived_cl24,plain,
    ( ( rhasLeader @ sk__2 @ sk__3 )
    | ( rhasHead @ sk__2 @ sk__3 )
    | ~ ( xsd_integer @ sk__1 )
    | ~ ( xsd_integer @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl2]) ).

thf(axiom_2,axiom,
    ! [X: $i,Y: $i] :
      ( ( rhasHead @ X @ Y )
     => ( rhasLeader @ X @ Y ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ( rhasLeader @ X0 @ X1 )
      | ~ ( rhasHead @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl33,plain,
    ( ~ ( xsd_integer @ sk__1 )
    | ~ ( xsd_integer @ sk__1 )
    | ( rhasLeader @ sk__2 @ sk__3 )
    | ( rhasLeader @ sk__2 @ sk__3 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl24,zip_derived_cl4]) ).

thf(zip_derived_cl37,plain,
    ( ( rhasLeader @ sk__2 @ sk__3 )
    | ~ ( xsd_integer @ sk__1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl5_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( rhasHead @ X0 @ X1 )
      | ~ ( rhasLeader @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[axiom_3]) ).

thf(zip_derived_cl0_004,plain,
    ! [X0: $i] : ( cowlThing @ X0 ),
    inference(cnf,[status(esa)],[axiom_0]) ).

thf(zip_derived_cl8,plain,
    ( ~ ( cowlThing @ sk_ )
    | ( cowlNothing @ sk_ )
    | ( xsd_string @ sk__1 )
    | ~ ( xsd_integer @ sk__1 )
    | ~ ( rhasHead @ sk__2 @ sk__3 )
    | ~ ( rhasLeader @ sk__2 @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12,plain,
    ( ~ ( rhasLeader @ sk__2 @ sk__3 )
    | ~ ( rhasHead @ sk__2 @ sk__3 )
    | ~ ( xsd_integer @ sk__1 )
    | ( xsd_string @ sk__1 )
    | ( cowlNothing @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl8]) ).

thf(zip_derived_cl1_005,plain,
    ! [X0: $i] :
      ~ ( cowlNothing @ X0 ),
    inference(cnf,[status(esa)],[axiom_0]) ).

thf(zip_derived_cl16,plain,
    ( ( xsd_string @ sk__1 )
    | ~ ( xsd_integer @ sk__1 )
    | ~ ( rhasHead @ sk__2 @ sk__3 )
    | ~ ( rhasLeader @ sk__2 @ sk__3 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl1]) ).

thf(zip_derived_cl2_006,plain,
    ! [X0: $i] :
      ( ~ ( xsd_integer @ X0 )
      | ~ ( xsd_string @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_1]) ).

thf(zip_derived_cl21,plain,
    ( ~ ( rhasLeader @ sk__2 @ sk__3 )
    | ~ ( rhasHead @ sk__2 @ sk__3 )
    | ~ ( xsd_integer @ sk__1 )
    | ~ ( xsd_integer @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl2]) ).

thf(zip_derived_cl29,plain,
    ( ~ ( rhasLeader @ sk__2 @ sk__3 )
    | ~ ( xsd_integer @ sk__1 )
    | ~ ( xsd_integer @ sk__1 )
    | ~ ( rhasLeader @ sk__2 @ sk__3 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl21]) ).

thf(zip_derived_cl36,plain,
    ( ~ ( xsd_integer @ sk__1 )
    | ~ ( rhasLeader @ sk__2 @ sk__3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl38,plain,
    ~ ( xsd_integer @ sk__1 ),
    inference(clc,[status(thm)],[zip_derived_cl37,zip_derived_cl36]) ).

thf(zip_derived_cl40,plain,
    ~ ( rhasLeader @ sk__2 @ sk__3 ),
    inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl38]) ).

thf(zip_derived_cl3_007,plain,
    ! [X0: $i] :
      ( ( xsd_string @ X0 )
      | ( xsd_integer @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_1]) ).

thf(zip_derived_cl0_008,plain,
    ! [X0: $i] : ( cowlThing @ X0 ),
    inference(cnf,[status(esa)],[axiom_0]) ).

thf(zip_derived_cl7,plain,
    ( ~ ( cowlThing @ sk_ )
    | ( cowlNothing @ sk_ )
    | ~ ( xsd_string @ sk__1 )
    | ( xsd_integer @ sk__1 )
    | ( rhasHead @ sk__2 @ sk__3 )
    | ( rhasLeader @ sk__2 @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11,plain,
    ( ( rhasLeader @ sk__2 @ sk__3 )
    | ( rhasHead @ sk__2 @ sk__3 )
    | ( xsd_integer @ sk__1 )
    | ~ ( xsd_string @ sk__1 )
    | ( cowlNothing @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl7]) ).

thf(zip_derived_cl1_009,plain,
    ! [X0: $i] :
      ~ ( cowlNothing @ X0 ),
    inference(cnf,[status(esa)],[axiom_0]) ).

thf(zip_derived_cl15,plain,
    ( ~ ( xsd_string @ sk__1 )
    | ( xsd_integer @ sk__1 )
    | ( rhasHead @ sk__2 @ sk__3 )
    | ( rhasLeader @ sk__2 @ sk__3 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl1]) ).

thf(zip_derived_cl20,plain,
    ( ( xsd_integer @ sk__1 )
    | ( rhasLeader @ sk__2 @ sk__3 )
    | ( rhasHead @ sk__2 @ sk__3 )
    | ( xsd_integer @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl15]) ).

thf(zip_derived_cl4_010,plain,
    ! [X0: $i,X1: $i] :
      ( ( rhasLeader @ X0 @ X1 )
      | ~ ( rhasHead @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl30,plain,
    ( ( xsd_integer @ sk__1 )
    | ( rhasLeader @ sk__2 @ sk__3 )
    | ( xsd_integer @ sk__1 )
    | ( rhasLeader @ sk__2 @ sk__3 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl4]) ).

thf(zip_derived_cl41,plain,
    ( ( rhasLeader @ sk__2 @ sk__3 )
    | ( xsd_integer @ sk__1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl38_011,plain,
    ~ ( xsd_integer @ sk__1 ),
    inference(clc,[status(thm)],[zip_derived_cl37,zip_derived_cl36]) ).

thf(zip_derived_cl42,plain,
    rhasLeader @ sk__2 @ sk__3,
    inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl38]) ).

thf(zip_derived_cl43,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl42]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : KRS171+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.b0mY32Pk5Q true
% 0.13/0.35  % Computer : n016.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 02:37:44 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
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.20/0.65  % Total configuration time : 435
% 0.20/0.65  % Estimated wc time : 1092
% 0.20/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.75  % Solved by fo/fo6_bce.sh.
% 0.20/0.75  % BCE start: 10
% 0.20/0.75  % BCE eliminated: 0
% 0.20/0.75  % PE start: 10
% 0.20/0.75  logic: neq
% 0.20/0.75  % PE eliminated: 6
% 0.20/0.75  % done 3 iterations in 0.008s
% 0.20/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.75  % SZS output start Refutation
% See solution above
% 0.20/0.75  
% 0.20/0.75  
% 0.20/0.75  % Terminating...
% 1.35/0.86  % Runner terminated.
% 1.35/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------