TSTP Solution File: KRS155+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : KRS155+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% 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 : Tue Apr 30 20:24:55 EDT 2024

% Result   : Theorem 0.11s 0.40s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   53
% Syntax   : Number of formulae    :  227 (  48 unt;   0 def)
%            Number of atoms       :  762 (   0 equ)
%            Maximal formula atoms :   21 (   3 avg)
%            Number of connectives :  899 ( 364   ~; 377   |; 119   &)
%                                         (  38 <=>;   0  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   20 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   47 (  46 usr;  24 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;  11 con; 0-1 aty)
%            Number of variables   :  178 ( 144   !;  34   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X] :
      ( cowlThing(X)
      & ~ cowlNothing(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X] :
      ( xsd_string(X)
    <=> ~ xsd_integer(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X] :
      ( cC10(X)
    <=> ( cC4(X)
        & cC8(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [X] :
      ( cC14(X)
    <=> ? [Y] :
          ( rR1(X,Y)
          & cTOP(Y) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [X] :
      ( cC20(X)
    <=> ? [Y] :
          ( rR1(X,Y)
          & cC2xcomp(Y) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f30,axiom,
    ! [X] :
      ( cC34(X)
    <=> ? [Y] :
          ( rR1(X,Y)
          & cC32xcomp(Y) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f36,axiom,
    ! [X] :
      ( cC4(X)
    <=> ? [Y] :
          ( rR1(X,Y)
          & cC2xcomp(Y) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f45,axiom,
    ! [X] :
      ( cC48(X)
    <=> ? [Y] :
          ( rR1(X,Y)
          & cC2xcomp(Y) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f58,axiom,
    ! [X] :
      ( cC58(X)
    <=> ? [Y] :
          ( rR1(X,Y)
          & cC2(Y) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f62,axiom,
    ! [X] :
      ( cC60(X)
    <=> ( cC2xcomp(X)
        & cC58(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f63,axiom,
    ! [X] :
      ( cC62(X)
    <=> ? [Y] :
          ( rR1(X,Y)
          & cC60(Y) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f80,axiom,
    ! [X] :
      ( cC8(X)
    <=> ? [Y] :
          ( rR1(X,Y)
          & cC6xcomp(Y) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f81,axiom,
    ! [X] :
      ( cC80(X)
    <=> ( cC78xcomp(X)
        & cC2xcomp(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f83,axiom,
    ! [X] :
      ( cC82(X)
    <=> ? [Y] :
          ( rR1(X,Y)
          & cC80(Y) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f104,axiom,
    rR1(iV8467,iV8471),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f105,axiom,
    rR1(iV8467,iV8470),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f106,axiom,
    rR1(iV8467,iV8469),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f107,axiom,
    rR1(iV8467,iV8474),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f110,axiom,
    rR1(iV8467,iV8475),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f111,axiom,
    rR1(iV8467,iV8472),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f114,axiom,
    cC6xcomp(iV8469),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f117,axiom,
    cTOP(iV8470),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f119,axiom,
    cC78xcomp(iV8471),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f120,axiom,
    cC2xcomp(iV8471),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f123,axiom,
    cC2xcomp(iV8472),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f125,axiom,
    rR1(iV8472,iV8476),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f128,axiom,
    cC32xcomp(iV8474),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f131,axiom,
    cC2xcomp(iV8475),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f133,axiom,
    cC2(iV8476),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f135,conjecture,
    ( ! [X] :
        ( cowlThing(X)
        & ~ cowlNothing(X) )
    & ! [X] :
        ( xsd_string(X)
      <=> ~ xsd_integer(X) )
    & cC20(iV8467)
    & cC4(iV8467)
    & cC8(iV8467)
    & cC82(iV8467)
    & cC62(iV8467)
    & cC14(iV8467)
    & cC34(iV8467)
    & cC10(iV8467)
    & cowlThing(iV8467)
    & cC48(iV8467)
    & cowlThing(iV8471)
    & cC80(iV8471)
    & cC58(iV8472)
    & cC60(iV8472)
    & cowlThing(iV8472) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f136,negated_conjecture,
    ~ ( ! [X] :
          ( cowlThing(X)
          & ~ cowlNothing(X) )
      & ! [X] :
          ( xsd_string(X)
        <=> ~ xsd_integer(X) )
      & cC20(iV8467)
      & cC4(iV8467)
      & cC8(iV8467)
      & cC82(iV8467)
      & cC62(iV8467)
      & cC14(iV8467)
      & cC34(iV8467)
      & cC10(iV8467)
      & cowlThing(iV8467)
      & cC48(iV8467)
      & cowlThing(iV8471)
      & cC80(iV8471)
      & cC58(iV8472)
      & cC60(iV8472)
      & cowlThing(iV8472) ),
    inference(negated_conjecture,[status(cth)],[f135]) ).

fof(f137,plain,
    ( ! [X] : cowlThing(X)
    & ! [X] : ~ cowlNothing(X) ),
    inference(miniscoping,[status(esa)],[f1]) ).

fof(f138,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[status(esa)],[f137]) ).

fof(f139,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[status(esa)],[f137]) ).

fof(f140,plain,
    ! [X] :
      ( ( ~ xsd_string(X)
        | ~ xsd_integer(X) )
      & ( xsd_string(X)
        | xsd_integer(X) ) ),
    inference(NNF_transformation,[status(esa)],[f2]) ).

fof(f141,plain,
    ( ! [X] :
        ( ~ xsd_string(X)
        | ~ xsd_integer(X) )
    & ! [X] :
        ( xsd_string(X)
        | xsd_integer(X) ) ),
    inference(miniscoping,[status(esa)],[f140]) ).

fof(f142,plain,
    ! [X0] :
      ( ~ xsd_string(X0)
      | ~ xsd_integer(X0) ),
    inference(cnf_transformation,[status(esa)],[f141]) ).

fof(f143,plain,
    ! [X0] :
      ( xsd_string(X0)
      | xsd_integer(X0) ),
    inference(cnf_transformation,[status(esa)],[f141]) ).

fof(f144,plain,
    ! [X] :
      ( ( ~ cC10(X)
        | ( cC4(X)
          & cC8(X) ) )
      & ( cC10(X)
        | ~ cC4(X)
        | ~ cC8(X) ) ),
    inference(NNF_transformation,[status(esa)],[f3]) ).

fof(f145,plain,
    ( ! [X] :
        ( ~ cC10(X)
        | ( cC4(X)
          & cC8(X) ) )
    & ! [X] :
        ( cC10(X)
        | ~ cC4(X)
        | ~ cC8(X) ) ),
    inference(miniscoping,[status(esa)],[f144]) ).

fof(f148,plain,
    ! [X0] :
      ( cC10(X0)
      | ~ cC4(X0)
      | ~ cC8(X0) ),
    inference(cnf_transformation,[status(esa)],[f145]) ).

fof(f161,plain,
    ! [X] :
      ( ( ~ cC14(X)
        | ? [Y] :
            ( rR1(X,Y)
            & cTOP(Y) ) )
      & ( cC14(X)
        | ! [Y] :
            ( ~ rR1(X,Y)
            | ~ cTOP(Y) ) ) ),
    inference(NNF_transformation,[status(esa)],[f6]) ).

fof(f162,plain,
    ( ! [X] :
        ( ~ cC14(X)
        | ? [Y] :
            ( rR1(X,Y)
            & cTOP(Y) ) )
    & ! [X] :
        ( cC14(X)
        | ! [Y] :
            ( ~ rR1(X,Y)
            | ~ cTOP(Y) ) ) ),
    inference(miniscoping,[status(esa)],[f161]) ).

fof(f163,plain,
    ( ! [X] :
        ( ~ cC14(X)
        | ( rR1(X,sk0_2(X))
          & cTOP(sk0_2(X)) ) )
    & ! [X] :
        ( cC14(X)
        | ! [Y] :
            ( ~ rR1(X,Y)
            | ~ cTOP(Y) ) ) ),
    inference(skolemization,[status(esa)],[f162]) ).

fof(f166,plain,
    ! [X0,X1] :
      ( cC14(X0)
      | ~ rR1(X0,X1)
      | ~ cTOP(X1) ),
    inference(cnf_transformation,[status(esa)],[f163]) ).

fof(f205,plain,
    ! [X] :
      ( ( ~ cC20(X)
        | ? [Y] :
            ( rR1(X,Y)
            & cC2xcomp(Y) ) )
      & ( cC20(X)
        | ! [Y] :
            ( ~ rR1(X,Y)
            | ~ cC2xcomp(Y) ) ) ),
    inference(NNF_transformation,[status(esa)],[f14]) ).

fof(f206,plain,
    ( ! [X] :
        ( ~ cC20(X)
        | ? [Y] :
            ( rR1(X,Y)
            & cC2xcomp(Y) ) )
    & ! [X] :
        ( cC20(X)
        | ! [Y] :
            ( ~ rR1(X,Y)
            | ~ cC2xcomp(Y) ) ) ),
    inference(miniscoping,[status(esa)],[f205]) ).

fof(f207,plain,
    ( ! [X] :
        ( ~ cC20(X)
        | ( rR1(X,sk0_9(X))
          & cC2xcomp(sk0_9(X)) ) )
    & ! [X] :
        ( cC20(X)
        | ! [Y] :
            ( ~ rR1(X,Y)
            | ~ cC2xcomp(Y) ) ) ),
    inference(skolemization,[status(esa)],[f206]) ).

fof(f210,plain,
    ! [X0,X1] :
      ( cC20(X0)
      | ~ rR1(X0,X1)
      | ~ cC2xcomp(X1) ),
    inference(cnf_transformation,[status(esa)],[f207]) ).

fof(f294,plain,
    ! [X] :
      ( ( ~ cC34(X)
        | ? [Y] :
            ( rR1(X,Y)
            & cC32xcomp(Y) ) )
      & ( cC34(X)
        | ! [Y] :
            ( ~ rR1(X,Y)
            | ~ cC32xcomp(Y) ) ) ),
    inference(NNF_transformation,[status(esa)],[f30]) ).

fof(f295,plain,
    ( ! [X] :
        ( ~ cC34(X)
        | ? [Y] :
            ( rR1(X,Y)
            & cC32xcomp(Y) ) )
    & ! [X] :
        ( cC34(X)
        | ! [Y] :
            ( ~ rR1(X,Y)
            | ~ cC32xcomp(Y) ) ) ),
    inference(miniscoping,[status(esa)],[f294]) ).

fof(f296,plain,
    ( ! [X] :
        ( ~ cC34(X)
        | ( rR1(X,sk0_23(X))
          & cC32xcomp(sk0_23(X)) ) )
    & ! [X] :
        ( cC34(X)
        | ! [Y] :
            ( ~ rR1(X,Y)
            | ~ cC32xcomp(Y) ) ) ),
    inference(skolemization,[status(esa)],[f295]) ).

fof(f299,plain,
    ! [X0,X1] :
      ( cC34(X0)
      | ~ rR1(X0,X1)
      | ~ cC32xcomp(X1) ),
    inference(cnf_transformation,[status(esa)],[f296]) ).

fof(f329,plain,
    ! [X] :
      ( ( ~ cC4(X)
        | ? [Y] :
            ( rR1(X,Y)
            & cC2xcomp(Y) ) )
      & ( cC4(X)
        | ! [Y] :
            ( ~ rR1(X,Y)
            | ~ cC2xcomp(Y) ) ) ),
    inference(NNF_transformation,[status(esa)],[f36]) ).

fof(f330,plain,
    ( ! [X] :
        ( ~ cC4(X)
        | ? [Y] :
            ( rR1(X,Y)
            & cC2xcomp(Y) ) )
    & ! [X] :
        ( cC4(X)
        | ! [Y] :
            ( ~ rR1(X,Y)
            | ~ cC2xcomp(Y) ) ) ),
    inference(miniscoping,[status(esa)],[f329]) ).

fof(f331,plain,
    ( ! [X] :
        ( ~ cC4(X)
        | ( rR1(X,sk0_29(X))
          & cC2xcomp(sk0_29(X)) ) )
    & ! [X] :
        ( cC4(X)
        | ! [Y] :
            ( ~ rR1(X,Y)
            | ~ cC2xcomp(Y) ) ) ),
    inference(skolemization,[status(esa)],[f330]) ).

fof(f334,plain,
    ! [X0,X1] :
      ( cC4(X0)
      | ~ rR1(X0,X1)
      | ~ cC2xcomp(X1) ),
    inference(cnf_transformation,[status(esa)],[f331]) ).

fof(f379,plain,
    ! [X] :
      ( ( ~ cC48(X)
        | ? [Y] :
            ( rR1(X,Y)
            & cC2xcomp(Y) ) )
      & ( cC48(X)
        | ! [Y] :
            ( ~ rR1(X,Y)
            | ~ cC2xcomp(Y) ) ) ),
    inference(NNF_transformation,[status(esa)],[f45]) ).

fof(f380,plain,
    ( ! [X] :
        ( ~ cC48(X)
        | ? [Y] :
            ( rR1(X,Y)
            & cC2xcomp(Y) ) )
    & ! [X] :
        ( cC48(X)
        | ! [Y] :
            ( ~ rR1(X,Y)
            | ~ cC2xcomp(Y) ) ) ),
    inference(miniscoping,[status(esa)],[f379]) ).

fof(f381,plain,
    ( ! [X] :
        ( ~ cC48(X)
        | ( rR1(X,sk0_36(X))
          & cC2xcomp(sk0_36(X)) ) )
    & ! [X] :
        ( cC48(X)
        | ! [Y] :
            ( ~ rR1(X,Y)
            | ~ cC2xcomp(Y) ) ) ),
    inference(skolemization,[status(esa)],[f380]) ).

fof(f384,plain,
    ! [X0,X1] :
      ( cC48(X0)
      | ~ rR1(X0,X1)
      | ~ cC2xcomp(X1) ),
    inference(cnf_transformation,[status(esa)],[f381]) ).

fof(f451,plain,
    ! [X] :
      ( ( ~ cC58(X)
        | ? [Y] :
            ( rR1(X,Y)
            & cC2(Y) ) )
      & ( cC58(X)
        | ! [Y] :
            ( ~ rR1(X,Y)
            | ~ cC2(Y) ) ) ),
    inference(NNF_transformation,[status(esa)],[f58]) ).

fof(f452,plain,
    ( ! [X] :
        ( ~ cC58(X)
        | ? [Y] :
            ( rR1(X,Y)
            & cC2(Y) ) )
    & ! [X] :
        ( cC58(X)
        | ! [Y] :
            ( ~ rR1(X,Y)
            | ~ cC2(Y) ) ) ),
    inference(miniscoping,[status(esa)],[f451]) ).

fof(f453,plain,
    ( ! [X] :
        ( ~ cC58(X)
        | ( rR1(X,sk0_47(X))
          & cC2(sk0_47(X)) ) )
    & ! [X] :
        ( cC58(X)
        | ! [Y] :
            ( ~ rR1(X,Y)
            | ~ cC2(Y) ) ) ),
    inference(skolemization,[status(esa)],[f452]) ).

fof(f456,plain,
    ! [X0,X1] :
      ( cC58(X0)
      | ~ rR1(X0,X1)
      | ~ cC2(X1) ),
    inference(cnf_transformation,[status(esa)],[f453]) ).

fof(f474,plain,
    ! [X] :
      ( ( ~ cC60(X)
        | ( cC2xcomp(X)
          & cC58(X) ) )
      & ( cC60(X)
        | ~ cC2xcomp(X)
        | ~ cC58(X) ) ),
    inference(NNF_transformation,[status(esa)],[f62]) ).

fof(f475,plain,
    ( ! [X] :
        ( ~ cC60(X)
        | ( cC2xcomp(X)
          & cC58(X) ) )
    & ! [X] :
        ( cC60(X)
        | ~ cC2xcomp(X)
        | ~ cC58(X) ) ),
    inference(miniscoping,[status(esa)],[f474]) ).

fof(f477,plain,
    ! [X0] :
      ( ~ cC60(X0)
      | cC58(X0) ),
    inference(cnf_transformation,[status(esa)],[f475]) ).

fof(f478,plain,
    ! [X0] :
      ( cC60(X0)
      | ~ cC2xcomp(X0)
      | ~ cC58(X0) ),
    inference(cnf_transformation,[status(esa)],[f475]) ).

fof(f479,plain,
    ! [X] :
      ( ( ~ cC62(X)
        | ? [Y] :
            ( rR1(X,Y)
            & cC60(Y) ) )
      & ( cC62(X)
        | ! [Y] :
            ( ~ rR1(X,Y)
            | ~ cC60(Y) ) ) ),
    inference(NNF_transformation,[status(esa)],[f63]) ).

fof(f480,plain,
    ( ! [X] :
        ( ~ cC62(X)
        | ? [Y] :
            ( rR1(X,Y)
            & cC60(Y) ) )
    & ! [X] :
        ( cC62(X)
        | ! [Y] :
            ( ~ rR1(X,Y)
            | ~ cC60(Y) ) ) ),
    inference(miniscoping,[status(esa)],[f479]) ).

fof(f481,plain,
    ( ! [X] :
        ( ~ cC62(X)
        | ( rR1(X,sk0_51(X))
          & cC60(sk0_51(X)) ) )
    & ! [X] :
        ( cC62(X)
        | ! [Y] :
            ( ~ rR1(X,Y)
            | ~ cC60(Y) ) ) ),
    inference(skolemization,[status(esa)],[f480]) ).

fof(f484,plain,
    ! [X0,X1] :
      ( cC62(X0)
      | ~ rR1(X0,X1)
      | ~ cC60(X1) ),
    inference(cnf_transformation,[status(esa)],[f481]) ).

fof(f574,plain,
    ! [X] :
      ( ( ~ cC8(X)
        | ? [Y] :
            ( rR1(X,Y)
            & cC6xcomp(Y) ) )
      & ( cC8(X)
        | ! [Y] :
            ( ~ rR1(X,Y)
            | ~ cC6xcomp(Y) ) ) ),
    inference(NNF_transformation,[status(esa)],[f80]) ).

fof(f575,plain,
    ( ! [X] :
        ( ~ cC8(X)
        | ? [Y] :
            ( rR1(X,Y)
            & cC6xcomp(Y) ) )
    & ! [X] :
        ( cC8(X)
        | ! [Y] :
            ( ~ rR1(X,Y)
            | ~ cC6xcomp(Y) ) ) ),
    inference(miniscoping,[status(esa)],[f574]) ).

fof(f576,plain,
    ( ! [X] :
        ( ~ cC8(X)
        | ( rR1(X,sk0_65(X))
          & cC6xcomp(sk0_65(X)) ) )
    & ! [X] :
        ( cC8(X)
        | ! [Y] :
            ( ~ rR1(X,Y)
            | ~ cC6xcomp(Y) ) ) ),
    inference(skolemization,[status(esa)],[f575]) ).

fof(f579,plain,
    ! [X0,X1] :
      ( cC8(X0)
      | ~ rR1(X0,X1)
      | ~ cC6xcomp(X1) ),
    inference(cnf_transformation,[status(esa)],[f576]) ).

fof(f580,plain,
    ! [X] :
      ( ( ~ cC80(X)
        | ( cC78xcomp(X)
          & cC2xcomp(X) ) )
      & ( cC80(X)
        | ~ cC78xcomp(X)
        | ~ cC2xcomp(X) ) ),
    inference(NNF_transformation,[status(esa)],[f81]) ).

fof(f581,plain,
    ( ! [X] :
        ( ~ cC80(X)
        | ( cC78xcomp(X)
          & cC2xcomp(X) ) )
    & ! [X] :
        ( cC80(X)
        | ~ cC78xcomp(X)
        | ~ cC2xcomp(X) ) ),
    inference(miniscoping,[status(esa)],[f580]) ).

fof(f582,plain,
    ! [X0] :
      ( ~ cC80(X0)
      | cC78xcomp(X0) ),
    inference(cnf_transformation,[status(esa)],[f581]) ).

fof(f583,plain,
    ! [X0] :
      ( ~ cC80(X0)
      | cC2xcomp(X0) ),
    inference(cnf_transformation,[status(esa)],[f581]) ).

fof(f584,plain,
    ! [X0] :
      ( cC80(X0)
      | ~ cC78xcomp(X0)
      | ~ cC2xcomp(X0) ),
    inference(cnf_transformation,[status(esa)],[f581]) ).

fof(f591,plain,
    ! [X] :
      ( ( ~ cC82(X)
        | ? [Y] :
            ( rR1(X,Y)
            & cC80(Y) ) )
      & ( cC82(X)
        | ! [Y] :
            ( ~ rR1(X,Y)
            | ~ cC80(Y) ) ) ),
    inference(NNF_transformation,[status(esa)],[f83]) ).

fof(f592,plain,
    ( ! [X] :
        ( ~ cC82(X)
        | ? [Y] :
            ( rR1(X,Y)
            & cC80(Y) ) )
    & ! [X] :
        ( cC82(X)
        | ! [Y] :
            ( ~ rR1(X,Y)
            | ~ cC80(Y) ) ) ),
    inference(miniscoping,[status(esa)],[f591]) ).

fof(f593,plain,
    ( ! [X] :
        ( ~ cC82(X)
        | ( rR1(X,sk0_67(X))
          & cC80(sk0_67(X)) ) )
    & ! [X] :
        ( cC82(X)
        | ! [Y] :
            ( ~ rR1(X,Y)
            | ~ cC80(Y) ) ) ),
    inference(skolemization,[status(esa)],[f592]) ).

fof(f595,plain,
    ! [X0] :
      ( ~ cC82(X0)
      | cC80(sk0_67(X0)) ),
    inference(cnf_transformation,[status(esa)],[f593]) ).

fof(f596,plain,
    ! [X0,X1] :
      ( cC82(X0)
      | ~ rR1(X0,X1)
      | ~ cC80(X1) ),
    inference(cnf_transformation,[status(esa)],[f593]) ).

fof(f680,plain,
    rR1(iV8467,iV8471),
    inference(cnf_transformation,[status(esa)],[f104]) ).

fof(f681,plain,
    rR1(iV8467,iV8470),
    inference(cnf_transformation,[status(esa)],[f105]) ).

fof(f682,plain,
    rR1(iV8467,iV8469),
    inference(cnf_transformation,[status(esa)],[f106]) ).

fof(f683,plain,
    rR1(iV8467,iV8474),
    inference(cnf_transformation,[status(esa)],[f107]) ).

fof(f686,plain,
    rR1(iV8467,iV8475),
    inference(cnf_transformation,[status(esa)],[f110]) ).

fof(f687,plain,
    rR1(iV8467,iV8472),
    inference(cnf_transformation,[status(esa)],[f111]) ).

fof(f690,plain,
    cC6xcomp(iV8469),
    inference(cnf_transformation,[status(esa)],[f114]) ).

fof(f694,plain,
    cTOP(iV8470),
    inference(cnf_transformation,[status(esa)],[f117]) ).

fof(f696,plain,
    cC78xcomp(iV8471),
    inference(cnf_transformation,[status(esa)],[f119]) ).

fof(f697,plain,
    cC2xcomp(iV8471),
    inference(cnf_transformation,[status(esa)],[f120]) ).

fof(f701,plain,
    cC2xcomp(iV8472),
    inference(cnf_transformation,[status(esa)],[f123]) ).

fof(f703,plain,
    rR1(iV8472,iV8476),
    inference(cnf_transformation,[status(esa)],[f125]) ).

fof(f706,plain,
    cC32xcomp(iV8474),
    inference(cnf_transformation,[status(esa)],[f128]) ).

fof(f710,plain,
    cC2xcomp(iV8475),
    inference(cnf_transformation,[status(esa)],[f131]) ).

fof(f712,plain,
    cC2(iV8476),
    inference(cnf_transformation,[status(esa)],[f133]) ).

fof(f714,plain,
    ( ? [X] :
        ( ~ cowlThing(X)
        | cowlNothing(X) )
    | ? [X] :
        ( xsd_string(X)
      <~> ~ xsd_integer(X) )
    | ~ cC20(iV8467)
    | ~ cC4(iV8467)
    | ~ cC8(iV8467)
    | ~ cC82(iV8467)
    | ~ cC62(iV8467)
    | ~ cC14(iV8467)
    | ~ cC34(iV8467)
    | ~ cC10(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC48(iV8467)
    | ~ cowlThing(iV8471)
    | ~ cC80(iV8471)
    | ~ cC58(iV8472)
    | ~ cC60(iV8472)
    | ~ cowlThing(iV8472) ),
    inference(pre_NNF_transformation,[status(esa)],[f136]) ).

fof(f715,plain,
    ( ? [X] :
        ( ~ cowlThing(X)
        | cowlNothing(X) )
    | ? [X] :
        ( ( xsd_string(X)
          | ~ xsd_integer(X) )
        & ( ~ xsd_string(X)
          | xsd_integer(X) ) )
    | ~ cC20(iV8467)
    | ~ cC4(iV8467)
    | ~ cC8(iV8467)
    | ~ cC82(iV8467)
    | ~ cC62(iV8467)
    | ~ cC14(iV8467)
    | ~ cC34(iV8467)
    | ~ cC10(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC48(iV8467)
    | ~ cowlThing(iV8471)
    | ~ cC80(iV8471)
    | ~ cC58(iV8472)
    | ~ cC60(iV8472)
    | ~ cowlThing(iV8472) ),
    inference(NNF_transformation,[status(esa)],[f714]) ).

fof(f716,plain,
    ( ? [X] : ~ cowlThing(X)
    | ? [X] : cowlNothing(X)
    | ? [X] :
        ( ( xsd_string(X)
          | ~ xsd_integer(X) )
        & ( ~ xsd_string(X)
          | xsd_integer(X) ) )
    | ~ cC20(iV8467)
    | ~ cC4(iV8467)
    | ~ cC8(iV8467)
    | ~ cC82(iV8467)
    | ~ cC62(iV8467)
    | ~ cC14(iV8467)
    | ~ cC34(iV8467)
    | ~ cC10(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC48(iV8467)
    | ~ cowlThing(iV8471)
    | ~ cC80(iV8471)
    | ~ cC58(iV8472)
    | ~ cC60(iV8472)
    | ~ cowlThing(iV8472) ),
    inference(miniscoping,[status(esa)],[f715]) ).

fof(f717,plain,
    ( ~ cowlThing(sk0_79)
    | cowlNothing(sk0_80)
    | ( ( xsd_string(sk0_81)
        | ~ xsd_integer(sk0_81) )
      & ( ~ xsd_string(sk0_81)
        | xsd_integer(sk0_81) ) )
    | ~ cC20(iV8467)
    | ~ cC4(iV8467)
    | ~ cC8(iV8467)
    | ~ cC82(iV8467)
    | ~ cC62(iV8467)
    | ~ cC14(iV8467)
    | ~ cC34(iV8467)
    | ~ cC10(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC48(iV8467)
    | ~ cowlThing(iV8471)
    | ~ cC80(iV8471)
    | ~ cC58(iV8472)
    | ~ cC60(iV8472)
    | ~ cowlThing(iV8472) ),
    inference(skolemization,[status(esa)],[f716]) ).

fof(f718,plain,
    ( ~ cowlThing(sk0_79)
    | cowlNothing(sk0_80)
    | xsd_string(sk0_81)
    | ~ xsd_integer(sk0_81)
    | ~ cC20(iV8467)
    | ~ cC4(iV8467)
    | ~ cC8(iV8467)
    | ~ cC82(iV8467)
    | ~ cC62(iV8467)
    | ~ cC14(iV8467)
    | ~ cC34(iV8467)
    | ~ cC10(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC48(iV8467)
    | ~ cowlThing(iV8471)
    | ~ cC80(iV8471)
    | ~ cC58(iV8472)
    | ~ cC60(iV8472)
    | ~ cowlThing(iV8472) ),
    inference(cnf_transformation,[status(esa)],[f717]) ).

fof(f719,plain,
    ( ~ cowlThing(sk0_79)
    | cowlNothing(sk0_80)
    | ~ xsd_string(sk0_81)
    | xsd_integer(sk0_81)
    | ~ cC20(iV8467)
    | ~ cC4(iV8467)
    | ~ cC8(iV8467)
    | ~ cC82(iV8467)
    | ~ cC62(iV8467)
    | ~ cC14(iV8467)
    | ~ cC34(iV8467)
    | ~ cC10(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC48(iV8467)
    | ~ cowlThing(iV8471)
    | ~ cC80(iV8471)
    | ~ cC58(iV8472)
    | ~ cC60(iV8472)
    | ~ cowlThing(iV8472) ),
    inference(cnf_transformation,[status(esa)],[f717]) ).

fof(f720,plain,
    ( spl0_0
  <=> cowlThing(sk0_79) ),
    introduced(split_symbol_definition) ).

fof(f722,plain,
    ( ~ cowlThing(sk0_79)
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f720]) ).

fof(f723,plain,
    ( spl0_1
  <=> cowlNothing(sk0_80) ),
    introduced(split_symbol_definition) ).

fof(f724,plain,
    ( cowlNothing(sk0_80)
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f723]) ).

fof(f726,plain,
    ( spl0_2
  <=> xsd_string(sk0_81) ),
    introduced(split_symbol_definition) ).

fof(f727,plain,
    ( xsd_string(sk0_81)
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f726]) ).

fof(f728,plain,
    ( ~ xsd_string(sk0_81)
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f726]) ).

fof(f729,plain,
    ( spl0_3
  <=> xsd_integer(sk0_81) ),
    introduced(split_symbol_definition) ).

fof(f730,plain,
    ( xsd_integer(sk0_81)
    | ~ spl0_3 ),
    inference(component_clause,[status(thm)],[f729]) ).

fof(f732,plain,
    ( spl0_4
  <=> cC20(iV8467) ),
    introduced(split_symbol_definition) ).

fof(f734,plain,
    ( ~ cC20(iV8467)
    | spl0_4 ),
    inference(component_clause,[status(thm)],[f732]) ).

fof(f735,plain,
    ( spl0_5
  <=> cC4(iV8467) ),
    introduced(split_symbol_definition) ).

fof(f737,plain,
    ( ~ cC4(iV8467)
    | spl0_5 ),
    inference(component_clause,[status(thm)],[f735]) ).

fof(f738,plain,
    ( spl0_6
  <=> cC8(iV8467) ),
    introduced(split_symbol_definition) ).

fof(f740,plain,
    ( ~ cC8(iV8467)
    | spl0_6 ),
    inference(component_clause,[status(thm)],[f738]) ).

fof(f741,plain,
    ( spl0_7
  <=> cC82(iV8467) ),
    introduced(split_symbol_definition) ).

fof(f742,plain,
    ( cC82(iV8467)
    | ~ spl0_7 ),
    inference(component_clause,[status(thm)],[f741]) ).

fof(f743,plain,
    ( ~ cC82(iV8467)
    | spl0_7 ),
    inference(component_clause,[status(thm)],[f741]) ).

fof(f744,plain,
    ( spl0_8
  <=> cC62(iV8467) ),
    introduced(split_symbol_definition) ).

fof(f746,plain,
    ( ~ cC62(iV8467)
    | spl0_8 ),
    inference(component_clause,[status(thm)],[f744]) ).

fof(f747,plain,
    ( spl0_9
  <=> cC14(iV8467) ),
    introduced(split_symbol_definition) ).

fof(f749,plain,
    ( ~ cC14(iV8467)
    | spl0_9 ),
    inference(component_clause,[status(thm)],[f747]) ).

fof(f750,plain,
    ( spl0_10
  <=> cC34(iV8467) ),
    introduced(split_symbol_definition) ).

fof(f752,plain,
    ( ~ cC34(iV8467)
    | spl0_10 ),
    inference(component_clause,[status(thm)],[f750]) ).

fof(f753,plain,
    ( spl0_11
  <=> cC10(iV8467) ),
    introduced(split_symbol_definition) ).

fof(f755,plain,
    ( ~ cC10(iV8467)
    | spl0_11 ),
    inference(component_clause,[status(thm)],[f753]) ).

fof(f756,plain,
    ( spl0_12
  <=> cowlThing(iV8467) ),
    introduced(split_symbol_definition) ).

fof(f758,plain,
    ( ~ cowlThing(iV8467)
    | spl0_12 ),
    inference(component_clause,[status(thm)],[f756]) ).

fof(f759,plain,
    ( spl0_13
  <=> cC48(iV8467) ),
    introduced(split_symbol_definition) ).

fof(f761,plain,
    ( ~ cC48(iV8467)
    | spl0_13 ),
    inference(component_clause,[status(thm)],[f759]) ).

fof(f762,plain,
    ( spl0_14
  <=> cowlThing(iV8471) ),
    introduced(split_symbol_definition) ).

fof(f764,plain,
    ( ~ cowlThing(iV8471)
    | spl0_14 ),
    inference(component_clause,[status(thm)],[f762]) ).

fof(f765,plain,
    ( spl0_15
  <=> cC80(iV8471) ),
    introduced(split_symbol_definition) ).

fof(f766,plain,
    ( cC80(iV8471)
    | ~ spl0_15 ),
    inference(component_clause,[status(thm)],[f765]) ).

fof(f768,plain,
    ( spl0_16
  <=> cC58(iV8472) ),
    introduced(split_symbol_definition) ).

fof(f770,plain,
    ( ~ cC58(iV8472)
    | spl0_16 ),
    inference(component_clause,[status(thm)],[f768]) ).

fof(f771,plain,
    ( spl0_17
  <=> cC60(iV8472) ),
    introduced(split_symbol_definition) ).

fof(f772,plain,
    ( cC60(iV8472)
    | ~ spl0_17 ),
    inference(component_clause,[status(thm)],[f771]) ).

fof(f774,plain,
    ( spl0_18
  <=> cowlThing(iV8472) ),
    introduced(split_symbol_definition) ).

fof(f776,plain,
    ( ~ cowlThing(iV8472)
    | spl0_18 ),
    inference(component_clause,[status(thm)],[f774]) ).

fof(f777,plain,
    ( ~ spl0_0
    | spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(split_clause,[status(thm)],[f718,f720,f723,f726,f729,f732,f735,f738,f741,f744,f747,f750,f753,f756,f759,f762,f765,f768,f771,f774]) ).

fof(f778,plain,
    ( ~ spl0_0
    | spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(split_clause,[status(thm)],[f719,f720,f723,f726,f729,f732,f735,f738,f741,f744,f747,f750,f753,f756,f759,f762,f765,f768,f771,f774]) ).

fof(f779,plain,
    ( $false
    | spl0_18 ),
    inference(forward_subsumption_resolution,[status(thm)],[f776,f138]) ).

fof(f780,plain,
    spl0_18,
    inference(contradiction_clause,[status(thm)],[f779]) ).

fof(f781,plain,
    ! [X0,X1] :
      ( ~ rR1(X0,X1)
      | ~ cC2(X1)
      | cC60(X0)
      | ~ cC2xcomp(X0) ),
    inference(resolution,[status(thm)],[f456,f478]) ).

fof(f797,plain,
    ! [X0] :
      ( ~ rR1(X0,iV8476)
      | cC60(X0)
      | ~ cC2xcomp(X0) ),
    inference(resolution,[status(thm)],[f712,f781]) ).

fof(f799,plain,
    ! [X0] :
      ( cC14(X0)
      | ~ rR1(X0,iV8470) ),
    inference(resolution,[status(thm)],[f166,f694]) ).

fof(f801,plain,
    ( spl0_22
  <=> cC2xcomp(iV8472) ),
    introduced(split_symbol_definition) ).

fof(f803,plain,
    ( ~ cC2xcomp(iV8472)
    | spl0_22 ),
    inference(component_clause,[status(thm)],[f801]) ).

fof(f804,plain,
    ( cC60(iV8472)
    | ~ cC2xcomp(iV8472) ),
    inference(resolution,[status(thm)],[f703,f797]) ).

fof(f805,plain,
    ( spl0_17
    | ~ spl0_22 ),
    inference(split_clause,[status(thm)],[f804,f771,f801]) ).

fof(f806,plain,
    ( $false
    | spl0_22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f803,f701]) ).

fof(f807,plain,
    spl0_22,
    inference(contradiction_clause,[status(thm)],[f806]) ).

fof(f812,plain,
    ( cC58(iV8472)
    | ~ spl0_17 ),
    inference(resolution,[status(thm)],[f772,f477]) ).

fof(f813,plain,
    ( $false
    | spl0_16
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[status(thm)],[f812,f770]) ).

fof(f814,plain,
    ( spl0_16
    | ~ spl0_17 ),
    inference(contradiction_clause,[status(thm)],[f813]) ).

fof(f905,plain,
    ( spl0_35
  <=> cC2xcomp(iV8471) ),
    introduced(split_symbol_definition) ).

fof(f907,plain,
    ( ~ cC2xcomp(iV8471)
    | spl0_35 ),
    inference(component_clause,[status(thm)],[f905]) ).

fof(f910,plain,
    ( $false
    | spl0_35 ),
    inference(forward_subsumption_resolution,[status(thm)],[f907,f697]) ).

fof(f911,plain,
    spl0_35,
    inference(contradiction_clause,[status(thm)],[f910]) ).

fof(f935,plain,
    ( $false
    | spl0_14 ),
    inference(forward_subsumption_resolution,[status(thm)],[f764,f138]) ).

fof(f936,plain,
    spl0_14,
    inference(contradiction_clause,[status(thm)],[f935]) ).

fof(f937,plain,
    ( $false
    | spl0_12 ),
    inference(forward_subsumption_resolution,[status(thm)],[f758,f138]) ).

fof(f938,plain,
    spl0_12,
    inference(contradiction_clause,[status(thm)],[f937]) ).

fof(f939,plain,
    ( $false
    | spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f722,f138]) ).

fof(f940,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f939]) ).

fof(f942,plain,
    ! [X0] :
      ( ~ rR1(iV8467,X0)
      | ~ cC2xcomp(X0)
      | spl0_13 ),
    inference(resolution,[status(thm)],[f761,f384]) ).

fof(f943,plain,
    ( ~ cC4(iV8467)
    | ~ cC8(iV8467)
    | spl0_11 ),
    inference(resolution,[status(thm)],[f755,f148]) ).

fof(f944,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | spl0_11 ),
    inference(split_clause,[status(thm)],[f943,f735,f738,f753]) ).

fof(f947,plain,
    ! [X0] :
      ( ~ rR1(iV8467,X0)
      | ~ cC60(X0)
      | spl0_8 ),
    inference(resolution,[status(thm)],[f746,f484]) ).

fof(f948,plain,
    ! [X0] :
      ( ~ rR1(iV8467,X0)
      | ~ cC80(X0)
      | spl0_7 ),
    inference(resolution,[status(thm)],[f743,f596]) ).

fof(f950,plain,
    ! [X0] :
      ( ~ rR1(iV8467,X0)
      | ~ cC2xcomp(X0)
      | spl0_5 ),
    inference(resolution,[status(thm)],[f737,f334]) ).

fof(f953,plain,
    ! [X0] :
      ( ~ rR1(iV8467,X0)
      | ~ cC2xcomp(X0)
      | spl0_4 ),
    inference(resolution,[status(thm)],[f734,f210]) ).

fof(f960,plain,
    ( ~ rR1(iV8467,iV8475)
    | spl0_13 ),
    inference(resolution,[status(thm)],[f942,f710]) ).

fof(f961,plain,
    ( $false
    | spl0_13 ),
    inference(forward_subsumption_resolution,[status(thm)],[f960,f686]) ).

fof(f962,plain,
    spl0_13,
    inference(contradiction_clause,[status(thm)],[f961]) ).

fof(f991,plain,
    cC14(iV8467),
    inference(resolution,[status(thm)],[f799,f681]) ).

fof(f992,plain,
    ( $false
    | spl0_9 ),
    inference(forward_subsumption_resolution,[status(thm)],[f991,f749]) ).

fof(f993,plain,
    spl0_9,
    inference(contradiction_clause,[status(thm)],[f992]) ).

fof(f1022,plain,
    ( ~ rR1(iV8467,iV8472)
    | spl0_8
    | ~ spl0_17 ),
    inference(resolution,[status(thm)],[f947,f772]) ).

fof(f1023,plain,
    ( $false
    | spl0_8
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1022,f687]) ).

fof(f1024,plain,
    ( spl0_8
    | ~ spl0_17 ),
    inference(contradiction_clause,[status(thm)],[f1023]) ).

fof(f1036,plain,
    ( ~ cC2xcomp(iV8475)
    | spl0_5 ),
    inference(resolution,[status(thm)],[f950,f686]) ).

fof(f1037,plain,
    ( $false
    | spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1036,f710]) ).

fof(f1038,plain,
    spl0_5,
    inference(contradiction_clause,[status(thm)],[f1037]) ).

fof(f1042,plain,
    ( ~ cC2xcomp(iV8475)
    | spl0_4 ),
    inference(resolution,[status(thm)],[f953,f686]) ).

fof(f1043,plain,
    ( $false
    | spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1042,f710]) ).

fof(f1044,plain,
    spl0_4,
    inference(contradiction_clause,[status(thm)],[f1043]) ).

fof(f1129,plain,
    ! [X0] :
      ( ~ rR1(iV8467,X0)
      | ~ cC32xcomp(X0)
      | spl0_10 ),
    inference(resolution,[status(thm)],[f299,f752]) ).

fof(f1134,plain,
    ( ~ rR1(iV8467,iV8474)
    | spl0_10 ),
    inference(resolution,[status(thm)],[f1129,f706]) ).

fof(f1135,plain,
    ( $false
    | spl0_10 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1134,f683]) ).

fof(f1136,plain,
    spl0_10,
    inference(contradiction_clause,[status(thm)],[f1135]) ).

fof(f1368,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f724,f139]) ).

fof(f1369,plain,
    ~ spl0_1,
    inference(contradiction_clause,[status(thm)],[f1368]) ).

fof(f1473,plain,
    ( cC80(iV8471)
    | ~ cC2xcomp(iV8471) ),
    inference(resolution,[status(thm)],[f584,f696]) ).

fof(f1474,plain,
    ( spl0_15
    | ~ spl0_35 ),
    inference(split_clause,[status(thm)],[f1473,f765,f905]) ).

fof(f1481,plain,
    ( ~ rR1(iV8467,iV8471)
    | ~ spl0_15
    | spl0_7 ),
    inference(resolution,[status(thm)],[f766,f948]) ).

fof(f1482,plain,
    ( $false
    | ~ spl0_15
    | spl0_7 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1481,f680]) ).

fof(f1483,plain,
    ( ~ spl0_15
    | spl0_7 ),
    inference(contradiction_clause,[status(thm)],[f1482]) ).

fof(f1488,plain,
    ( cC80(sk0_67(iV8467))
    | ~ spl0_7 ),
    inference(resolution,[status(thm)],[f742,f595]) ).

fof(f1490,plain,
    ( cC78xcomp(sk0_67(iV8467))
    | ~ spl0_7 ),
    inference(resolution,[status(thm)],[f1488,f582]) ).

fof(f1491,plain,
    ( cC2xcomp(sk0_67(iV8467))
    | ~ spl0_7 ),
    inference(resolution,[status(thm)],[f1488,f583]) ).

fof(f1492,plain,
    ( spl0_97
  <=> cC80(sk0_67(iV8467)) ),
    introduced(split_symbol_definition) ).

fof(f1495,plain,
    ( spl0_98
  <=> cC2xcomp(sk0_67(iV8467)) ),
    introduced(split_symbol_definition) ).

fof(f1497,plain,
    ( ~ cC2xcomp(sk0_67(iV8467))
    | spl0_98 ),
    inference(component_clause,[status(thm)],[f1495]) ).

fof(f1498,plain,
    ( cC80(sk0_67(iV8467))
    | ~ cC2xcomp(sk0_67(iV8467))
    | ~ spl0_7 ),
    inference(resolution,[status(thm)],[f1490,f584]) ).

fof(f1499,plain,
    ( spl0_97
    | ~ spl0_98
    | ~ spl0_7 ),
    inference(split_clause,[status(thm)],[f1498,f1492,f1495,f741]) ).

fof(f1535,plain,
    ( $false
    | ~ spl0_7
    | spl0_98 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1497,f1491]) ).

fof(f1536,plain,
    ( ~ spl0_7
    | spl0_98 ),
    inference(contradiction_clause,[status(thm)],[f1535]) ).

fof(f1617,plain,
    ! [X0] :
      ( cC8(X0)
      | ~ rR1(X0,iV8469) ),
    inference(resolution,[status(thm)],[f579,f690]) ).

fof(f1638,plain,
    cC8(iV8467),
    inference(resolution,[status(thm)],[f1617,f682]) ).

fof(f1639,plain,
    ( $false
    | spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1638,f740]) ).

fof(f1640,plain,
    spl0_6,
    inference(contradiction_clause,[status(thm)],[f1639]) ).

fof(f1655,plain,
    ( ~ xsd_string(sk0_81)
    | ~ spl0_3 ),
    inference(resolution,[status(thm)],[f730,f142]) ).

fof(f1656,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1655,f727]) ).

fof(f1657,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(contradiction_clause,[status(thm)],[f1656]) ).

fof(f1658,plain,
    ( xsd_integer(sk0_81)
    | spl0_2 ),
    inference(resolution,[status(thm)],[f728,f143]) ).

fof(f1659,plain,
    ( spl0_3
    | spl0_2 ),
    inference(split_clause,[status(thm)],[f1658,f729,f726]) ).

fof(f1660,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f777,f778,f780,f805,f807,f814,f911,f936,f938,f940,f944,f962,f993,f1024,f1038,f1044,f1136,f1369,f1474,f1483,f1499,f1536,f1640,f1657,f1659]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : KRS155+1 : TPTP v8.1.2. Released v3.1.0.
% 0.09/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32  % Computer : n014.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Mon Apr 29 23:18:34 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.11/0.34  % Drodi V3.6.0
% 0.11/0.40  % Refutation found
% 0.11/0.40  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.43  % Elapsed time: 0.084996 seconds
% 0.16/0.43  % CPU time: 0.500759 seconds
% 0.16/0.43  % Total memory used: 24.251 MB
% 0.16/0.43  % Net memory used: 23.999 MB
%------------------------------------------------------------------------------