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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS131+1 : TPTP v9.2.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pYm1CKsDGI true

% Computer : n014.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 Oct  2 04:40:39 PM UTC 2025

% Result   : Theorem 0.19s 0.74s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   65 (  16 unt;   0 typ;   0 def)
%            Number of atoms       :  189 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  425 (  91   ~; 106   |;   8   &; 210   @)
%                                         (   7 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  15 usr;   4 con; 0-2 aty)
%            Number of variables   :   46 (   0   ^;  43   !;   3   ?;  46   :)

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

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

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

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

thf(cnotA_type,type,
    cnotA: $i > $o ).

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

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

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

thf(rq_type,type,
    rq: $i > $i > $o ).

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

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

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

thf(cA_type,type,
    cA: $i > $o ).

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

thf(cNothing_type,type,
    cNothing: $i > $o ).

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] :
        ( ( cnotA @ X )
      <=> ~ ( cA @ X ) ) ) ).

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

thf(zip_derived_cl14,plain,
    ( ~ ( cowlThing @ sk__3 )
    | ( cowlNothing @ sk__3 )
    | ( xsd_string @ sk__4 )
    | ~ ( xsd_integer @ sk__4 )
    | ( cA @ sk__5 )
    | ~ ( cnotA @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl23,plain,
    ( ~ ( cnotA @ sk__5 )
    | ( cA @ sk__5 )
    | ~ ( xsd_integer @ sk__4 )
    | ( xsd_string @ sk__4 )
    | ~ ( cowlThing @ sk__3 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl1]) ).

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

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

thf(zip_derived_cl28,plain,
    ( ~ ( cowlThing @ sk__3 )
    | ~ ( xsd_integer @ sk__4 )
    | ( cA @ sk__5 )
    | ~ ( cnotA @ sk__5 )
    | ~ ( xsd_integer @ sk__4 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl23,zip_derived_cl2]) ).

thf(zip_derived_cl37,plain,
    ( ~ ( xsd_integer @ sk__4 )
    | ~ ( cnotA @ sk__5 )
    | ( cA @ sk__5 )
    | ~ ( xsd_integer @ sk__4 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl28]) ).

thf(axiom_2,axiom,
    ! [X: $i] :
      ( ( cA @ X )
    <=> ? [Y: $i] :
          ( ( cowlThing @ Y )
          & ( rq @ X @ Y ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ( rq @ X0 @ ( sk_ @ X0 ) )
      | ~ ( cA @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(axiom_5,axiom,
    ! [X: $i] :
      ( ( cnotA @ X )
    <=> ! [Y: $i] :
          ( ( rq @ X @ Y )
         => ( cNothing @ Y ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rq @ X0 @ X1 )
      | ( cNothing @ X1 )
      | ~ ( cnotA @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_5]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i] :
      ( ~ ( cA @ X0 )
      | ~ ( cnotA @ X0 )
      | ( cNothing @ ( sk_ @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl9]) ).

thf(zip_derived_cl45,plain,
    ( ~ ( xsd_integer @ sk__4 )
    | ~ ( cnotA @ sk__5 )
    | ~ ( xsd_integer @ sk__4 )
    | ( cNothing @ ( sk_ @ sk__5 ) )
    | ~ ( cnotA @ sk__5 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl37,zip_derived_cl18]) ).

thf(zip_derived_cl56,plain,
    ( ( cNothing @ ( sk_ @ sk__5 ) )
    | ~ ( cnotA @ sk__5 )
    | ~ ( xsd_integer @ sk__4 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl45]) ).

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

thf(zip_derived_cl11,plain,
    ! [X0: $i] :
      ( ( cnotA @ X0 )
      | ( rq @ X0 @ ( sk__2 @ X0 ) ) ),
    inference(cnf,[status(esa)],[axiom_5]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ( cA @ X0 )
      | ~ ( rq @ X0 @ X1 )
      | ~ ( cowlThing @ X1 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i] :
      ( ( cnotA @ X0 )
      | ~ ( cowlThing @ ( sk__2 @ X0 ) )
      | ( cA @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl6]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i] :
      ( ( cA @ X0 )
      | ( cnotA @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl19]) ).

thf(zip_derived_cl0_002,plain,
    ! [X0: $i] : ( cowlThing @ X0 ),
    inference(cnf,[status(esa)],[axiom_0]) ).

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

thf(zip_derived_cl13,plain,
    ( ~ ( cowlThing @ sk__3 )
    | ( cowlNothing @ sk__3 )
    | ~ ( xsd_string @ sk__4 )
    | ( xsd_integer @ sk__4 )
    | ~ ( cA @ sk__5 )
    | ( cnotA @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_003,plain,
    ! [X0: $i] :
      ~ ( cowlNothing @ X0 ),
    inference(cnf,[status(esa)],[axiom_0]) ).

thf(zip_derived_cl22,plain,
    ( ( cnotA @ sk__5 )
    | ~ ( cA @ sk__5 )
    | ( xsd_integer @ sk__4 )
    | ~ ( xsd_string @ sk__4 )
    | ~ ( cowlThing @ sk__3 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl13,zip_derived_cl1]) ).

thf(zip_derived_cl27,plain,
    ( ( xsd_integer @ sk__4 )
    | ~ ( cowlThing @ sk__3 )
    | ( xsd_integer @ sk__4 )
    | ~ ( cA @ sk__5 )
    | ( cnotA @ sk__5 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl22]) ).

thf(zip_derived_cl36,plain,
    ( ( cnotA @ sk__5 )
    | ~ ( cA @ sk__5 )
    | ( xsd_integer @ sk__4 )
    | ( xsd_integer @ sk__4 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl27]) ).

thf(zip_derived_cl40,plain,
    ( ( cnotA @ sk__5 )
    | ( xsd_integer @ sk__4 )
    | ( xsd_integer @ sk__4 )
    | ( cnotA @ sk__5 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl34,zip_derived_cl36]) ).

thf(zip_derived_cl49,plain,
    ( ( xsd_integer @ sk__4 )
    | ( cnotA @ sk__5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl40]) ).

thf(zip_derived_cl34_004,plain,
    ! [X0: $i] :
      ( ( cA @ X0 )
      | ( cnotA @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl19]) ).

thf(zip_derived_cl0_005,plain,
    ! [X0: $i] : ( cowlThing @ X0 ),
    inference(cnf,[status(esa)],[axiom_0]) ).

thf(zip_derived_cl15,plain,
    ( ~ ( cowlThing @ sk__3 )
    | ( cowlNothing @ sk__3 )
    | ( xsd_string @ sk__4 )
    | ~ ( xsd_integer @ sk__4 )
    | ~ ( cA @ sk__5 )
    | ( cnotA @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_006,plain,
    ! [X0: $i] :
      ~ ( cowlNothing @ X0 ),
    inference(cnf,[status(esa)],[axiom_0]) ).

thf(zip_derived_cl24,plain,
    ( ( cnotA @ sk__5 )
    | ~ ( cA @ sk__5 )
    | ~ ( xsd_integer @ sk__4 )
    | ( xsd_string @ sk__4 )
    | ~ ( cowlThing @ sk__3 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl1]) ).

thf(zip_derived_cl2_007,plain,
    ! [X0: $i] :
      ( ~ ( xsd_integer @ X0 )
      | ~ ( xsd_string @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_1]) ).

thf(zip_derived_cl31,plain,
    ( ~ ( cowlThing @ sk__3 )
    | ~ ( xsd_integer @ sk__4 )
    | ~ ( cA @ sk__5 )
    | ( cnotA @ sk__5 )
    | ~ ( xsd_integer @ sk__4 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl24,zip_derived_cl2]) ).

thf(zip_derived_cl38,plain,
    ( ~ ( xsd_integer @ sk__4 )
    | ( cnotA @ sk__5 )
    | ~ ( cA @ sk__5 )
    | ~ ( xsd_integer @ sk__4 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl31]) ).

thf(zip_derived_cl41,plain,
    ( ( cnotA @ sk__5 )
    | ~ ( xsd_integer @ sk__4 )
    | ( cnotA @ sk__5 )
    | ~ ( xsd_integer @ sk__4 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl34,zip_derived_cl38]) ).

thf(zip_derived_cl48,plain,
    ( ~ ( xsd_integer @ sk__4 )
    | ( cnotA @ sk__5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl41]) ).

thf(zip_derived_cl50,plain,
    cnotA @ sk__5,
    inference(clc,[status(thm)],[zip_derived_cl49,zip_derived_cl48]) ).

thf(axiom_4,axiom,
    ! [X: $i] :
      ( ( cNothing @ X )
     => ? [Y0: $i] : ( rp @ X @ Y0 ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ( rp @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( cNothing @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_4]) ).

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

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rp @ X0 @ X1 )
      | ~ ( cNothing @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_3]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i] :
      ( ~ ( cNothing @ X0 )
      | ~ ( cNothing @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl7]) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i] :
      ~ ( cNothing @ X0 ),
    inference(simplify,[status(thm)],[zip_derived_cl16]) ).

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

thf(zip_derived_cl3_009,plain,
    ! [X0: $i] :
      ( ( xsd_string @ X0 )
      | ( xsd_integer @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_1]) ).

thf(zip_derived_cl12,plain,
    ( ~ ( cowlThing @ sk__3 )
    | ( cowlNothing @ sk__3 )
    | ~ ( xsd_string @ sk__4 )
    | ( xsd_integer @ sk__4 )
    | ( cA @ sk__5 )
    | ~ ( cnotA @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_010,plain,
    ! [X0: $i] :
      ~ ( cowlNothing @ X0 ),
    inference(cnf,[status(esa)],[axiom_0]) ).

thf(zip_derived_cl21,plain,
    ( ~ ( cnotA @ sk__5 )
    | ( cA @ sk__5 )
    | ( xsd_integer @ sk__4 )
    | ~ ( xsd_string @ sk__4 )
    | ~ ( cowlThing @ sk__3 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl1]) ).

thf(zip_derived_cl26,plain,
    ( ( xsd_integer @ sk__4 )
    | ~ ( cowlThing @ sk__3 )
    | ( xsd_integer @ sk__4 )
    | ( cA @ sk__5 )
    | ~ ( cnotA @ sk__5 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl21]) ).

thf(zip_derived_cl35,plain,
    ( ~ ( cnotA @ sk__5 )
    | ( cA @ sk__5 )
    | ( xsd_integer @ sk__4 )
    | ( xsd_integer @ sk__4 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl26]) ).

thf(zip_derived_cl18_011,plain,
    ! [X0: $i] :
      ( ~ ( cA @ X0 )
      | ~ ( cnotA @ X0 )
      | ( cNothing @ ( sk_ @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl9]) ).

thf(zip_derived_cl42,plain,
    ( ( xsd_integer @ sk__4 )
    | ( xsd_integer @ sk__4 )
    | ~ ( cnotA @ sk__5 )
    | ( cNothing @ ( sk_ @ sk__5 ) )
    | ~ ( cnotA @ sk__5 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl35,zip_derived_cl18]) ).

thf(zip_derived_cl51,plain,
    ( ( cNothing @ ( sk_ @ sk__5 ) )
    | ~ ( cnotA @ sk__5 )
    | ( xsd_integer @ sk__4 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl42]) ).

thf(zip_derived_cl50_012,plain,
    cnotA @ sk__5,
    inference(clc,[status(thm)],[zip_derived_cl49,zip_derived_cl48]) ).

thf(zip_derived_cl52,plain,
    ( ( cNothing @ ( sk_ @ sk__5 ) )
    | ( xsd_integer @ sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl50]) ).

thf(zip_derived_cl54,plain,
    xsd_integer @ sk__4,
    inference('s_sup+',[status(thm)],[zip_derived_cl53,zip_derived_cl52]) ).

thf(zip_derived_cl57,plain,
    cNothing @ ( sk_ @ sk__5 ),
    inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl50,zip_derived_cl54]) ).

thf(zip_derived_cl53_013,plain,
    ! [X0: $i] :
      ~ ( cNothing @ X0 ),
    inference(simplify,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl58,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl53]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : KRS131+1 : TPTP v9.2.0. Released v3.1.0.
% 0.08/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pYm1CKsDGI true
% 0.12/0.35  % Computer : n014.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Wed Oct  1 11:52:23 EDT 2025
% 0.12/0.35  % CPUTime  : 
% 0.12/0.35  % Running portfolio for 300 s
% 0.12/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.36  % Running in FO mode
% 0.19/0.62  % Total configuration time : 435
% 0.19/0.62  % Estimated wc time : 1092
% 0.19/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.74  % Solved by fo/fo6_bce.sh.
% 0.19/0.74  % BCE start: 16
% 0.19/0.74  % BCE eliminated: 0
% 0.19/0.74  % PE start: 16
% 0.19/0.74  logic: neq
% 0.19/0.74  % PE eliminated: 10
% 0.19/0.74  % done 6 iterations in 0.010s
% 0.19/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.19/0.74  % SZS output start Refutation
% See solution above
% 0.19/0.74  
% 0.19/0.74  
% 0.19/0.74  % Terminating...
% 1.53/0.83  % Runner terminated.
% 1.53/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------