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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : KRS149+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 07:45:15 AM UTC 2026

% Result   : Theorem 22.96s 18.35s
% Output   : CNFRefutation 22.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   54 (  14 unt;   0 def)
%            Number of atoms       :  228 (   0 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives :  321 ( 147   ~; 142   |;  25   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   21 (   2 sgn  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(axiom_0,axiom,
    ! [X0] :
      ( ~ cowlNothing(X0)
      & cowlThing(X0) ) ).

fof(axiom_1,axiom,
    ! [X0] :
      ( 'xsd$ustring'(X0)
    <=> ~ 'xsd$uinteger'(X0) ) ).

fof(axiom_65,axiom,
    ! [X0] :
      ( cC216(X0)
    <=> ( cC64(X0)
        & ~ cC214(X0) ) ) ).

fof(axiom_70,axiom,
    ! [X0] :
      ( cC30(X0)
    <=> ( cC28(X0)
        & cC14(X0) ) ) ).

fof(axiom_78,axiom,
    ! [X0] :
      ( cC46(X0)
    <=> ( cC44(X0)
        & cC30(X0) ) ) ).

fof(axiom_107,axiom,
    ! [X0] :
      ( cTEST(X0)
    <=> ( cC46(X0)
        & cC216(X0) ) ) ).

fof(axiom_108,axiom,
    cTEST(iV3102) ).

fof(the_axiom,conjecture,
    ( cowlThing(iV3102)
    & cC14(iV3102)
    & cC64(iV3102)
    & cC28(iV3102)
    & cC44(iV3102)
    & cC30(iV3102)
    & cC46(iV3102)
    & cC216(iV3102)
    & ! [X0] :
        ( 'xsd$ustring'(X0)
      <=> ~ 'xsd$uinteger'(X0) )
    & ! [X0] :
        ( ~ cowlNothing(X0)
        & cowlThing(X0) ) ) ).

fof(negated_conjecture,negated_conjecture,
    ~ ( cowlThing(iV3102)
      & cC14(iV3102)
      & cC64(iV3102)
      & cC28(iV3102)
      & cC44(iV3102)
      & cC30(iV3102)
      & cC46(iV3102)
      & cC216(iV3102)
      & ! [X0] :
          ( 'xsd$ustring'(X0)
        <=> ~ 'xsd$uinteger'(X0) )
      & ! [X0] :
          ( ~ cowlNothing(X0)
          & cowlThing(X0) ) ),
    inference(negate_conjecture,[status(cth)],[the_axiom]) ).

cnf(c0,plain,
    cowlThing(X0),
    inference(clausification,[status(esa)],[axiom_0]) ).

cnf(c1,plain,
    ~ cowlNothing(X0),
    inference(clausification,[status(esa)],[axiom_0]) ).

cnf(c2,plain,
    ( ~ 'xsd$uinteger'(X0)
    | ~ 'xsd$ustring'(X0) ),
    inference(clausification,[status(esa)],[axiom_1]) ).

cnf(c3,plain,
    ( 'xsd$uinteger'(X0)
    | 'xsd$ustring'(X0) ),
    inference(clausification,[status(esa)],[axiom_1]) ).

cnf(c194,plain,
    ( cC64(X0)
    | ~ cC216(X0) ),
    inference(clausification,[status(esa)],[axiom_65]) ).

cnf(c208,plain,
    ( cC14(X0)
    | ~ cC30(X0) ),
    inference(clausification,[status(esa)],[axiom_70]) ).

cnf(c209,plain,
    ( cC28(X0)
    | ~ cC30(X0) ),
    inference(clausification,[status(esa)],[axiom_70]) ).

cnf(c232,plain,
    ( cC30(X0)
    | ~ cC46(X0) ),
    inference(clausification,[status(esa)],[axiom_78]) ).

cnf(c233,plain,
    ( cC44(X0)
    | ~ cC46(X0) ),
    inference(clausification,[status(esa)],[axiom_78]) ).

cnf(c319,plain,
    ( cC216(X0)
    | ~ cTEST(X0) ),
    inference(clausification,[status(esa)],[axiom_107]) ).

cnf(c320,plain,
    ( cC46(X0)
    | ~ cTEST(X0) ),
    inference(clausification,[status(esa)],[axiom_107]) ).

cnf(c322,plain,
    cTEST(iV3102),
    inference(clausification,[status(esa)],[axiom_108]) ).

cnf(c340,plain,
    ( ~ cC44(iV3102)
    | ~ cowlThing(iV3102)
    | ~ cC28(iV3102)
    | ~ cC64(iV3102)
    | ~ cowlThing(sK221)
    | ~ 'xsd$uinteger'(sK222)
    | ~ cC46(iV3102)
    | ~ cC30(iV3102)
    | 'xsd$ustring'(sK222)
    | ~ cC14(iV3102)
    | ~ cC216(iV3102)
    | cowlNothing(sK221) ),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c341,plain,
    ( ~ cC44(iV3102)
    | ~ cowlThing(iV3102)
    | ~ cC28(iV3102)
    | ~ cC64(iV3102)
    | ~ cC46(iV3102)
    | ~ cC30(iV3102)
    | ~ 'xsd$ustring'(sK222)
    | ~ cC14(iV3102)
    | ~ cC216(iV3102)
    | 'xsd$uinteger'(sK222)
    | cowlNothing(sK221)
    | ~ cowlThing(sK221) ),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    ( ~ cC46(iV3102)
    | ~ cC44(iV3102)
    | ~ cC30(iV3102)
    | ~ cC28(iV3102)
    | ~ cC64(iV3102)
    | ~ cC216(iV3102)
    | ~ cC14(iV3102)
    | 'xsd$ustring'(sK222)
    | ~ 'xsd$uinteger'(sK222)
    | cowlNothing(sK221)
    | ~ cowlThing(sK221) ),
    inference(resolution,[status(thm)],[c0,c340]) ).

cnf(d1,plain,
    ( ~ cC46(iV3102)
    | ~ cC44(iV3102)
    | ~ cC30(iV3102)
    | ~ cC28(iV3102)
    | ~ cC64(iV3102)
    | ~ cC216(iV3102)
    | ~ cC14(iV3102)
    | 'xsd$ustring'(sK222)
    | ~ 'xsd$uinteger'(sK222)
    | ~ cowlThing(sK221) ),
    inference(resolution,[status(thm)],[c1,d0]) ).

cnf(d2,plain,
    cC216(iV3102),
    inference(resolution,[status(thm)],[c319,c322]) ).

cnf(d3,plain,
    ( ~ cC46(iV3102)
    | ~ cC44(iV3102)
    | ~ cC30(iV3102)
    | ~ cC28(iV3102)
    | ~ cC64(iV3102)
    | ~ cC14(iV3102)
    | 'xsd$ustring'(sK222)
    | ~ 'xsd$uinteger'(sK222)
    | ~ cowlThing(sK221) ),
    inference(resolution,[status(thm)],[d2,d1]) ).

cnf(d4,plain,
    ( ~ cC46(iV3102)
    | ~ cC44(iV3102)
    | ~ cC30(iV3102)
    | ~ cC28(iV3102)
    | ~ cC64(iV3102)
    | ~ cC14(iV3102)
    | 'xsd$ustring'(sK222)
    | ~ 'xsd$uinteger'(sK222) ),
    inference(resolution,[status(thm)],[c0,d3]) ).

cnf(d5,plain,
    cC64(iV3102),
    inference(resolution,[status(thm)],[d2,c194]) ).

cnf(d6,plain,
    ( ~ cC46(iV3102)
    | ~ cC44(iV3102)
    | ~ cC30(iV3102)
    | ~ cC28(iV3102)
    | ~ cC14(iV3102)
    | 'xsd$ustring'(sK222)
    | ~ 'xsd$uinteger'(sK222) ),
    inference(resolution,[status(thm)],[d5,d4]) ).

cnf(d7,plain,
    cC46(iV3102),
    inference(resolution,[status(thm)],[c320,c322]) ).

cnf(d8,plain,
    ( ~ cC44(iV3102)
    | ~ cC30(iV3102)
    | ~ cC28(iV3102)
    | ~ cC14(iV3102)
    | 'xsd$ustring'(sK222)
    | ~ 'xsd$uinteger'(sK222) ),
    inference(resolution,[status(thm)],[d7,d6]) ).

cnf(d9,plain,
    cC30(iV3102),
    inference(resolution,[status(thm)],[d7,c232]) ).

cnf(d10,plain,
    ( ~ cC44(iV3102)
    | ~ cC28(iV3102)
    | ~ cC14(iV3102)
    | 'xsd$ustring'(sK222)
    | ~ 'xsd$uinteger'(sK222) ),
    inference(resolution,[status(thm)],[d9,d8]) ).

cnf(d11,plain,
    cC44(iV3102),
    inference(resolution,[status(thm)],[d7,c233]) ).

cnf(d12,plain,
    ( ~ cC28(iV3102)
    | ~ cC14(iV3102)
    | 'xsd$ustring'(sK222)
    | ~ 'xsd$uinteger'(sK222) ),
    inference(resolution,[status(thm)],[d11,d10]) ).

cnf(d13,plain,
    cC14(iV3102),
    inference(resolution,[status(thm)],[d9,c208]) ).

cnf(d14,plain,
    ( ~ cC28(iV3102)
    | 'xsd$ustring'(sK222)
    | ~ 'xsd$uinteger'(sK222) ),
    inference(resolution,[status(thm)],[d13,d12]) ).

cnf(d15,plain,
    cC28(iV3102),
    inference(resolution,[status(thm)],[d9,c209]) ).

cnf(d16,plain,
    ( 'xsd$ustring'(sK222)
    | ~ 'xsd$uinteger'(sK222) ),
    inference(resolution,[status(thm)],[d15,d14]) ).

cnf(d17,plain,
    ( ~ cC46(iV3102)
    | ~ cC44(iV3102)
    | ~ cC30(iV3102)
    | ~ cC28(iV3102)
    | ~ cC64(iV3102)
    | ~ cC216(iV3102)
    | ~ cC14(iV3102)
    | ~ 'xsd$ustring'(sK222)
    | 'xsd$uinteger'(sK222)
    | cowlNothing(sK221)
    | ~ cowlThing(sK221) ),
    inference(resolution,[status(thm)],[c0,c341]) ).

cnf(d18,plain,
    ( ~ cC46(iV3102)
    | ~ cC44(iV3102)
    | ~ cC30(iV3102)
    | ~ cC28(iV3102)
    | ~ cC64(iV3102)
    | ~ cC216(iV3102)
    | ~ cC14(iV3102)
    | ~ 'xsd$ustring'(sK222)
    | 'xsd$uinteger'(sK222)
    | ~ cowlThing(sK221) ),
    inference(resolution,[status(thm)],[c1,d17]) ).

cnf(d19,plain,
    ( ~ cC46(iV3102)
    | ~ cC44(iV3102)
    | ~ cC30(iV3102)
    | ~ cC28(iV3102)
    | ~ cC64(iV3102)
    | ~ cC14(iV3102)
    | ~ 'xsd$ustring'(sK222)
    | 'xsd$uinteger'(sK222)
    | ~ cowlThing(sK221) ),
    inference(resolution,[status(thm)],[d2,d18]) ).

cnf(d20,plain,
    ( ~ cC46(iV3102)
    | ~ cC44(iV3102)
    | ~ cC30(iV3102)
    | ~ cC28(iV3102)
    | ~ cC64(iV3102)
    | ~ cC14(iV3102)
    | ~ 'xsd$ustring'(sK222)
    | 'xsd$uinteger'(sK222) ),
    inference(resolution,[status(thm)],[c0,d19]) ).

cnf(d21,plain,
    ( ~ cC46(iV3102)
    | ~ cC44(iV3102)
    | ~ cC30(iV3102)
    | ~ cC28(iV3102)
    | ~ cC14(iV3102)
    | ~ 'xsd$ustring'(sK222)
    | 'xsd$uinteger'(sK222) ),
    inference(resolution,[status(thm)],[d5,d20]) ).

cnf(d22,plain,
    ( ~ cC44(iV3102)
    | ~ cC30(iV3102)
    | ~ cC28(iV3102)
    | ~ cC14(iV3102)
    | ~ 'xsd$ustring'(sK222)
    | 'xsd$uinteger'(sK222) ),
    inference(resolution,[status(thm)],[d7,d21]) ).

cnf(d23,plain,
    ( ~ cC44(iV3102)
    | ~ cC28(iV3102)
    | ~ cC14(iV3102)
    | ~ 'xsd$ustring'(sK222)
    | 'xsd$uinteger'(sK222) ),
    inference(resolution,[status(thm)],[d9,d22]) ).

cnf(d24,plain,
    ( ~ cC28(iV3102)
    | ~ cC14(iV3102)
    | ~ 'xsd$ustring'(sK222)
    | 'xsd$uinteger'(sK222) ),
    inference(resolution,[status(thm)],[d11,d23]) ).

cnf(d25,plain,
    ( ~ cC28(iV3102)
    | ~ 'xsd$ustring'(sK222)
    | 'xsd$uinteger'(sK222) ),
    inference(resolution,[status(thm)],[d13,d24]) ).

cnf(d26,plain,
    ( ~ 'xsd$ustring'(sK222)
    | 'xsd$uinteger'(sK222) ),
    inference(resolution,[status(thm)],[d15,d25]) ).

cnf(d27,plain,
    ( 'xsd$uinteger'(sK222)
    | 'xsd$uinteger'(sK222) ),
    inference(resolution,[status(thm)],[d26,c3]) ).

cnf(d28,plain,
    'xsd$ustring'(sK222),
    inference(resolution,[status(thm)],[d27,d16]) ).

cnf(d29,plain,
    ~ 'xsd$uinteger'(sK222),
    inference(resolution,[status(thm)],[d28,c2]) ).

cnf(d30,plain,
    $false,
    inference(resolution,[status(thm)],[d27,d29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : KRS149+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/15.36  % Computer : n012.cluster.edu
% 0.06/15.36  % Model    : x86_64 x86_64
% 0.06/15.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/15.36  % Memory   : 8046.5625MB
% 0.06/15.36  % OS       : Linux 6.8.0-71-generic
% 0.06/15.36  % CPULimit : 300
% 0.06/15.36  % WCLimit  : 300
% 0.06/15.36  % DateTime : Fri Sep 25 19:41:21 UTC 2026
% 0.06/15.36  % CPUTime  : 
% 0.06/15.36  Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.96/18.35  % SZS status Theorem for theBenchmark.p
% 22.96/18.35  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------