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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : KRS155+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n015.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 : Tue Sep 29 11:42:24 AM UTC 2026

% Result   : Theorem 0.15s 0.53s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   50
% Syntax   : Number of formulae    :  226 (  72 unt;  19 def)
%            Number of atoms       :  735 (   0 equ)
%            Maximal formula atoms :   21 (   3 avg)
%            Number of connectives :  860 ( 351   ~; 350   |; 120   &)
%                                         (  35 <=>;   3  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   21 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   43 (  42 usr;  20 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   9 con; 0-1 aty)
%            Number of variables   :  141 (   0 sgn 112   !;  29   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] :
      ( cowlThing(X0)
      & ~ cowlNothing(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

fof(f2,axiom,
    ! [X0] :
      ( xsd_string(X0)
    <=> ~ xsd_integer(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(f3,axiom,
    ! [X0] :
      ( cC10(X0)
    <=> ( cC4(X0)
        & cC8(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f6,axiom,
    ! [X0] :
      ( cC14(X0)
    <=> ? [X1] :
          ( rR1(X0,X1)
          & cTOP(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(f14,axiom,
    ! [X0] :
      ( cC20(X0)
    <=> ? [X1] :
          ( rR1(X0,X1)
          & cC2xcomp(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).

fof(f30,axiom,
    ! [X0] :
      ( cC34(X0)
    <=> ? [X1] :
          ( rR1(X0,X1)
          & cC32xcomp(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).

fof(f36,axiom,
    ! [X0] :
      ( cC4(X0)
    <=> ? [X1] :
          ( rR1(X0,X1)
          & cC2xcomp(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_35) ).

fof(f45,axiom,
    ! [X0] :
      ( cC48(X0)
    <=> ? [X1] :
          ( rR1(X0,X1)
          & cC2xcomp(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_44) ).

fof(f58,axiom,
    ! [X0] :
      ( cC58(X0)
    <=> ? [X1] :
          ( rR1(X0,X1)
          & cC2(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_57) ).

fof(f62,axiom,
    ! [X0] :
      ( cC60(X0)
    <=> ( cC2xcomp(X0)
        & cC58(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).

fof(f63,axiom,
    ! [X0] :
      ( cC62(X0)
    <=> ? [X1] :
          ( rR1(X0,X1)
          & cC60(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_62) ).

fof(f80,axiom,
    ! [X0] :
      ( cC8(X0)
    <=> ? [X1] :
          ( rR1(X0,X1)
          & cC6xcomp(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_79) ).

fof(f81,axiom,
    ! [X0] :
      ( cC80(X0)
    <=> ( cC78xcomp(X0)
        & cC2xcomp(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_80) ).

fof(f83,axiom,
    ! [X0] :
      ( cC82(X0)
    <=> ? [X1] :
          ( rR1(X0,X1)
          & cC80(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_82) ).

fof(f103,axiom,
    cowlThing(iV8467),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_102) ).

fof(f104,axiom,
    rR1(iV8467,iV8471),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_103) ).

fof(f105,axiom,
    rR1(iV8467,iV8470),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_104) ).

fof(f106,axiom,
    rR1(iV8467,iV8469),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_105) ).

fof(f107,axiom,
    rR1(iV8467,iV8474),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_106) ).

fof(f111,axiom,
    rR1(iV8467,iV8472),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_110) ).

fof(f114,axiom,
    cC6xcomp(iV8469),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_113) ).

fof(f117,axiom,
    cTOP(iV8470),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_116) ).

fof(f119,axiom,
    cC78xcomp(iV8471),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_118) ).

fof(f120,axiom,
    cC2xcomp(iV8471),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_119) ).

fof(f121,axiom,
    cowlThing(iV8471),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_120) ).

fof(f123,axiom,
    cC2xcomp(iV8472),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_122) ).

fof(f124,axiom,
    cowlThing(iV8472),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_123) ).

fof(f125,axiom,
    rR1(iV8472,iV8476),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_124) ).

fof(f128,axiom,
    cC32xcomp(iV8474),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_127) ).

fof(f133,axiom,
    cC2(iV8476),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_132) ).

fof(f135,conjecture,
    ( ! [X0] :
        ( cowlThing(X0)
        & ~ cowlNothing(X0) )
    & ! [X0] :
        ( xsd_string(X0)
      <=> ~ xsd_integer(X0) )
    & 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',the_axiom) ).

fof(f136,negated_conjecture,
    ~ ( ! [X0] :
          ( cowlThing(X0)
          & ~ cowlNothing(X0) )
      & ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & 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,
    ~ ( ! [X0] :
          ( cowlThing(X0)
          & ~ cowlNothing(X0) )
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & 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(rectify,[],[f136]) ).

fof(f138,plain,
    ! [X0] :
      ( ( cC4(X0)
        & cC8(X0) )
     => cC10(X0) ),
    inference(unused_predicate_definition_removal,[],[f3]) ).

fof(f139,plain,
    ! [X0] :
      ( ? [X1] :
          ( rR1(X0,X1)
          & cC2xcomp(X1) )
     => cC4(X0) ),
    inference(unused_predicate_definition_removal,[],[f36]) ).

fof(f140,plain,
    ! [X0] :
      ( ? [X1] :
          ( rR1(X0,X1)
          & cC6xcomp(X1) )
     => cC8(X0) ),
    inference(unused_predicate_definition_removal,[],[f80]) ).

fof(f146,plain,
    ! [X0] :
      ( cC10(X0)
      | ~ cC4(X0)
      | ~ cC8(X0) ),
    inference(ennf_transformation,[],[f138]) ).

fof(f147,plain,
    ! [X0] :
      ( cC10(X0)
      | ~ cC4(X0)
      | ~ cC8(X0) ),
    inference(flattening,[],[f146]) ).

fof(f155,plain,
    ! [X0] :
      ( cC4(X0)
      | ! [X1] :
          ( ~ rR1(X0,X1)
          | ~ cC2xcomp(X1) ) ),
    inference(ennf_transformation,[],[f139]) ).

fof(f166,plain,
    ! [X0] :
      ( cC8(X0)
      | ! [X1] :
          ( ~ rR1(X0,X1)
          | ~ cC6xcomp(X1) ) ),
    inference(ennf_transformation,[],[f140]) ).

fof(f174,plain,
    ( ? [X0] :
        ( ~ cowlThing(X0)
        | cowlNothing(X0) )
    | ? [X1] :
        ( xsd_string(X1)
      <~> ~ xsd_integer(X1) )
    | ~ 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(ennf_transformation,[],[f137]) ).

fof(f175,plain,
    ! [X0] :
      ( ( xsd_string(X0)
        | xsd_integer(X0) )
      & ( ~ xsd_integer(X0)
        | ~ xsd_string(X0) ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f179,plain,
    ! [X0] :
      ( ( cC14(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cTOP(X1) ) )
      & ( ? [X1] :
            ( rR1(X0,X1)
            & cTOP(X1) )
        | ~ cC14(X0) ) ),
    inference(nnf_transformation,[],[f6]) ).

fof(f180,plain,
    ! [X0] :
      ( ( cC14(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cTOP(X1) ) )
      & ( ? [X2] :
            ( rR1(X0,X2)
            & cTOP(X2) )
        | ~ cC14(X0) ) ),
    inference(rectify,[],[f179]) ).

fof(f181,plain,
    ! [X0] :
      ( ( cC14(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cTOP(X1) ) )
      & ( ( rR1(X0,sK1(X0))
          & cTOP(sK1(X0)) )
        | ~ cC14(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0))],[f180]) ).

fof(f197,plain,
    ! [X0] :
      ( ( cC20(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC2xcomp(X1) ) )
      & ( ? [X1] :
            ( rR1(X0,X1)
            & cC2xcomp(X1) )
        | ~ cC20(X0) ) ),
    inference(nnf_transformation,[],[f14]) ).

fof(f198,plain,
    ! [X0] :
      ( ( cC20(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC2xcomp(X1) ) )
      & ( ? [X2] :
            ( rR1(X0,X2)
            & cC2xcomp(X2) )
        | ~ cC20(X0) ) ),
    inference(rectify,[],[f197]) ).

fof(f199,plain,
    ! [X0] :
      ( ( cC20(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC2xcomp(X1) ) )
      & ( ( rR1(X0,sK7(X0))
          & cC2xcomp(sK7(X0)) )
        | ~ cC20(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0))],[f198]) ).

fof(f235,plain,
    ! [X0] :
      ( ( cC34(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC32xcomp(X1) ) )
      & ( ? [X1] :
            ( rR1(X0,X1)
            & cC32xcomp(X1) )
        | ~ cC34(X0) ) ),
    inference(nnf_transformation,[],[f30]) ).

fof(f236,plain,
    ! [X0] :
      ( ( cC34(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC32xcomp(X1) ) )
      & ( ? [X2] :
            ( rR1(X0,X2)
            & cC32xcomp(X2) )
        | ~ cC34(X0) ) ),
    inference(rectify,[],[f235]) ).

fof(f237,plain,
    ! [X0] :
      ( ( cC34(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC32xcomp(X1) ) )
      & ( ( rR1(X0,sK19(X0))
          & cC32xcomp(sK19(X0)) )
        | ~ cC34(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X2,sK19(X0))],[f236]) ).

fof(f268,plain,
    ! [X0] :
      ( ( cC48(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC2xcomp(X1) ) )
      & ( ? [X1] :
            ( rR1(X0,X1)
            & cC2xcomp(X1) )
        | ~ cC48(X0) ) ),
    inference(nnf_transformation,[],[f45]) ).

fof(f269,plain,
    ! [X0] :
      ( ( cC48(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC2xcomp(X1) ) )
      & ( ? [X2] :
            ( rR1(X0,X2)
            & cC2xcomp(X2) )
        | ~ cC48(X0) ) ),
    inference(rectify,[],[f268]) ).

fof(f270,plain,
    ! [X0] :
      ( ( cC48(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC2xcomp(X1) ) )
      & ( ( rR1(X0,sK30(X0))
          & cC2xcomp(sK30(X0)) )
        | ~ cC48(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK30]),skolemize(X2,sK30(X0))],[f269]) ).

fof(f297,plain,
    ! [X0] :
      ( ( cC58(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC2(X1) ) )
      & ( ? [X1] :
            ( rR1(X0,X1)
            & cC2(X1) )
        | ~ cC58(X0) ) ),
    inference(nnf_transformation,[],[f58]) ).

fof(f298,plain,
    ! [X0] :
      ( ( cC58(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC2(X1) ) )
      & ( ? [X2] :
            ( rR1(X0,X2)
            & cC2(X2) )
        | ~ cC58(X0) ) ),
    inference(rectify,[],[f297]) ).

fof(f299,plain,
    ! [X0] :
      ( ( cC58(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC2(X1) ) )
      & ( ( rR1(X0,sK39(X0))
          & cC2(sK39(X0)) )
        | ~ cC58(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK39]),skolemize(X2,sK39(X0))],[f298]) ).

fof(f309,plain,
    ! [X0] :
      ( ( cC60(X0)
        | ~ cC2xcomp(X0)
        | ~ cC58(X0) )
      & ( ( cC2xcomp(X0)
          & cC58(X0) )
        | ~ cC60(X0) ) ),
    inference(nnf_transformation,[],[f62]) ).

fof(f310,plain,
    ! [X0] :
      ( ( cC60(X0)
        | ~ cC2xcomp(X0)
        | ~ cC58(X0) )
      & ( ( cC2xcomp(X0)
          & cC58(X0) )
        | ~ cC60(X0) ) ),
    inference(flattening,[],[f309]) ).

fof(f311,plain,
    ! [X0] :
      ( ( cC62(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC60(X1) ) )
      & ( ? [X1] :
            ( rR1(X0,X1)
            & cC60(X1) )
        | ~ cC62(X0) ) ),
    inference(nnf_transformation,[],[f63]) ).

fof(f312,plain,
    ! [X0] :
      ( ( cC62(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC60(X1) ) )
      & ( ? [X2] :
            ( rR1(X0,X2)
            & cC60(X2) )
        | ~ cC62(X0) ) ),
    inference(rectify,[],[f311]) ).

fof(f313,plain,
    ! [X0] :
      ( ( cC62(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC60(X1) ) )
      & ( ( rR1(X0,sK43(X0))
          & cC60(sK43(X0)) )
        | ~ cC62(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK43]),skolemize(X2,sK43(X0))],[f312]) ).

fof(f351,plain,
    ! [X0] :
      ( ( cC80(X0)
        | ~ cC78xcomp(X0)
        | ~ cC2xcomp(X0) )
      & ( ( cC78xcomp(X0)
          & cC2xcomp(X0) )
        | ~ cC80(X0) ) ),
    inference(nnf_transformation,[],[f81]) ).

fof(f352,plain,
    ! [X0] :
      ( ( cC80(X0)
        | ~ cC78xcomp(X0)
        | ~ cC2xcomp(X0) )
      & ( ( cC78xcomp(X0)
          & cC2xcomp(X0) )
        | ~ cC80(X0) ) ),
    inference(flattening,[],[f351]) ).

fof(f356,plain,
    ! [X0] :
      ( ( cC82(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC80(X1) ) )
      & ( ? [X1] :
            ( rR1(X0,X1)
            & cC80(X1) )
        | ~ cC82(X0) ) ),
    inference(nnf_transformation,[],[f83]) ).

fof(f357,plain,
    ! [X0] :
      ( ( cC82(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC80(X1) ) )
      & ( ? [X2] :
            ( rR1(X0,X2)
            & cC80(X2) )
        | ~ cC82(X0) ) ),
    inference(rectify,[],[f356]) ).

fof(f358,plain,
    ! [X0] :
      ( ( cC82(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC80(X1) ) )
      & ( ( rR1(X0,sK56(X0))
          & cC80(sK56(X0)) )
        | ~ cC82(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK56]),skolemize(X2,sK56(X0))],[f357]) ).

fof(f391,plain,
    ( ? [X0] :
        ( ~ cowlThing(X0)
        | cowlNothing(X0) )
    | ? [X1] :
        ( ( xsd_integer(X1)
          | ~ xsd_string(X1) )
        & ( ~ xsd_integer(X1)
          | xsd_string(X1) ) )
    | ~ 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,[],[f174]) ).

fof(f392,plain,
    ( ~ cowlThing(sK67)
    | cowlNothing(sK67)
    | ( ( xsd_integer(sK68)
        | ~ xsd_string(sK68) )
      & ( ~ xsd_integer(sK68)
        | xsd_string(sK68) ) )
    | ~ 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(skolemize,[status(esa),new_symbols(skolem,[sK67,sK68]),skolemize(X0,sK67),skolemize(X1,sK68)],[f391]) ).

fof(f393,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f394,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f395,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f396,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f397,plain,
    ! [X0] :
      ( ~ cC8(X0)
      | ~ cC4(X0)
      | cC10(X0) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f402,plain,
    ! [X0,X1] :
      ( ~ cTOP(X1)
      | ~ rR1(X0,X1)
      | cC14(X0) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f414,plain,
    ! [X0] :
      ( ~ cC20(X0)
      | cC2xcomp(sK7(X0)) ),
    inference(cnf_transformation,[],[f199]) ).

fof(f415,plain,
    ! [X0] :
      ( ~ cC20(X0)
      | rR1(X0,sK7(X0)) ),
    inference(cnf_transformation,[],[f199]) ).

fof(f416,plain,
    ! [X0,X1] :
      ( ~ cC2xcomp(X1)
      | ~ rR1(X0,X1)
      | cC20(X0) ),
    inference(cnf_transformation,[],[f199]) ).

fof(f449,plain,
    ! [X0,X1] :
      ( ~ cC32xcomp(X1)
      | ~ rR1(X0,X1)
      | cC34(X0) ),
    inference(cnf_transformation,[],[f237]) ).

fof(f462,plain,
    ! [X0,X1] :
      ( ~ cC2xcomp(X1)
      | ~ rR1(X0,X1)
      | cC4(X0) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f479,plain,
    ! [X0,X1] :
      ( ~ cC2xcomp(X1)
      | ~ rR1(X0,X1)
      | cC48(X0) ),
    inference(cnf_transformation,[],[f270]) ).

fof(f504,plain,
    ! [X0,X1] :
      ( ~ cC2(X1)
      | ~ rR1(X0,X1)
      | cC58(X0) ),
    inference(cnf_transformation,[],[f299]) ).

fof(f514,plain,
    ! [X0] :
      ( ~ cC58(X0)
      | ~ cC2xcomp(X0)
      | cC60(X0) ),
    inference(cnf_transformation,[],[f310]) ).

fof(f517,plain,
    ! [X0,X1] :
      ( ~ cC60(X1)
      | ~ rR1(X0,X1)
      | cC62(X0) ),
    inference(cnf_transformation,[],[f313]) ).

fof(f552,plain,
    ! [X0,X1] :
      ( ~ cC6xcomp(X1)
      | ~ rR1(X0,X1)
      | cC8(X0) ),
    inference(cnf_transformation,[],[f166]) ).

fof(f555,plain,
    ! [X0] :
      ( ~ cC78xcomp(X0)
      | cC80(X0)
      | ~ cC2xcomp(X0) ),
    inference(cnf_transformation,[],[f352]) ).

fof(f560,plain,
    ! [X0,X1] :
      ( ~ cC80(X1)
      | ~ rR1(X0,X1)
      | cC82(X0) ),
    inference(cnf_transformation,[],[f358]) ).

fof(f595,plain,
    cowlThing(iV8467),
    inference(cnf_transformation,[],[f103]) ).

fof(f596,plain,
    rR1(iV8467,iV8471),
    inference(cnf_transformation,[],[f104]) ).

fof(f597,plain,
    rR1(iV8467,iV8470),
    inference(cnf_transformation,[],[f105]) ).

fof(f598,plain,
    rR1(iV8467,iV8469),
    inference(cnf_transformation,[],[f106]) ).

fof(f599,plain,
    rR1(iV8467,iV8474),
    inference(cnf_transformation,[],[f107]) ).

fof(f603,plain,
    rR1(iV8467,iV8472),
    inference(cnf_transformation,[],[f111]) ).

fof(f606,plain,
    cC6xcomp(iV8469),
    inference(cnf_transformation,[],[f114]) ).

fof(f609,plain,
    cTOP(iV8470),
    inference(cnf_transformation,[],[f117]) ).

fof(f611,plain,
    cC78xcomp(iV8471),
    inference(cnf_transformation,[],[f119]) ).

fof(f612,plain,
    cC2xcomp(iV8471),
    inference(cnf_transformation,[],[f120]) ).

fof(f613,plain,
    cowlThing(iV8471),
    inference(cnf_transformation,[],[f121]) ).

fof(f615,plain,
    cC2xcomp(iV8472),
    inference(cnf_transformation,[],[f123]) ).

fof(f616,plain,
    cowlThing(iV8472),
    inference(cnf_transformation,[],[f124]) ).

fof(f617,plain,
    rR1(iV8472,iV8476),
    inference(cnf_transformation,[],[f125]) ).

fof(f620,plain,
    cC32xcomp(iV8474),
    inference(cnf_transformation,[],[f128]) ).

fof(f625,plain,
    cC2(iV8476),
    inference(cnf_transformation,[],[f133]) ).

fof(f627,plain,
    ( ~ cowlThing(sK67)
    | cowlNothing(sK67)
    | ~ xsd_integer(sK68)
    | xsd_string(sK68)
    | ~ 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,[],[f392]) ).

fof(f628,plain,
    ( ~ cowlThing(sK67)
    | cowlNothing(sK67)
    | xsd_integer(sK68)
    | ~ xsd_string(sK68)
    | ~ 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,[],[f392]) ).

fof(f630,definition,
    ( spl69_1
  <=> cowlThing(iV8472) ),
    introduced(definition,[new_symbols(definition,[spl69_1])],[avatar_definition]) ).

fof(f634,definition,
    ( spl69_2
  <=> cC60(iV8472) ),
    introduced(definition,[new_symbols(definition,[spl69_2])],[avatar_definition]) ).

fof(f635,plain,
    ( cC60(iV8472)
    | ~ spl69_2 ),
    inference(avatar_component_clause,[],[f634]) ).

fof(f636,plain,
    ( ~ cC60(iV8472)
    | spl69_2 ),
    inference(avatar_component_clause,[],[f634]) ).

fof(f638,definition,
    ( spl69_3
  <=> cC58(iV8472) ),
    introduced(definition,[new_symbols(definition,[spl69_3])],[avatar_definition]) ).

fof(f639,plain,
    ( cC58(iV8472)
    | ~ spl69_3 ),
    inference(avatar_component_clause,[],[f638]) ).

fof(f642,definition,
    ( spl69_4
  <=> cC80(iV8471) ),
    introduced(definition,[new_symbols(definition,[spl69_4])],[avatar_definition]) ).

fof(f643,plain,
    ( cC80(iV8471)
    | ~ spl69_4 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f646,definition,
    ( spl69_5
  <=> cowlThing(iV8471) ),
    introduced(definition,[new_symbols(definition,[spl69_5])],[avatar_definition]) ).

fof(f650,definition,
    ( spl69_6
  <=> cC48(iV8467) ),
    introduced(definition,[new_symbols(definition,[spl69_6])],[avatar_definition]) ).

fof(f654,definition,
    ( spl69_7
  <=> cowlThing(iV8467) ),
    introduced(definition,[new_symbols(definition,[spl69_7])],[avatar_definition]) ).

fof(f658,definition,
    ( spl69_8
  <=> cC10(iV8467) ),
    introduced(definition,[new_symbols(definition,[spl69_8])],[avatar_definition]) ).

fof(f660,plain,
    ( ~ cC10(iV8467)
    | spl69_8 ),
    inference(avatar_component_clause,[],[f658]) ).

fof(f662,definition,
    ( spl69_9
  <=> cC34(iV8467) ),
    introduced(definition,[new_symbols(definition,[spl69_9])],[avatar_definition]) ).

fof(f666,definition,
    ( spl69_10
  <=> cC14(iV8467) ),
    introduced(definition,[new_symbols(definition,[spl69_10])],[avatar_definition]) ).

fof(f670,definition,
    ( spl69_11
  <=> cC62(iV8467) ),
    introduced(definition,[new_symbols(definition,[spl69_11])],[avatar_definition]) ).

fof(f674,definition,
    ( spl69_12
  <=> cC82(iV8467) ),
    introduced(definition,[new_symbols(definition,[spl69_12])],[avatar_definition]) ).

fof(f678,definition,
    ( spl69_13
  <=> cC8(iV8467) ),
    introduced(definition,[new_symbols(definition,[spl69_13])],[avatar_definition]) ).

fof(f679,plain,
    ( cC8(iV8467)
    | ~ spl69_13 ),
    inference(avatar_component_clause,[],[f678]) ).

fof(f682,definition,
    ( spl69_14
  <=> cC4(iV8467) ),
    introduced(definition,[new_symbols(definition,[spl69_14])],[avatar_definition]) ).

fof(f683,plain,
    ( cC4(iV8467)
    | ~ spl69_14 ),
    inference(avatar_component_clause,[],[f682]) ).

fof(f686,definition,
    ( spl69_15
  <=> cC20(iV8467) ),
    introduced(definition,[new_symbols(definition,[spl69_15])],[avatar_definition]) ).

fof(f687,plain,
    ( cC20(iV8467)
    | ~ spl69_15 ),
    inference(avatar_component_clause,[],[f686]) ).

fof(f690,definition,
    ( spl69_16
  <=> xsd_string(sK68) ),
    introduced(definition,[new_symbols(definition,[spl69_16])],[avatar_definition]) ).

fof(f691,plain,
    ( ~ xsd_string(sK68)
    | spl69_16 ),
    inference(avatar_component_clause,[],[f690]) ).

fof(f692,plain,
    ( xsd_string(sK68)
    | ~ spl69_16 ),
    inference(avatar_component_clause,[],[f690]) ).

fof(f694,definition,
    ( spl69_17
  <=> xsd_integer(sK68) ),
    introduced(definition,[new_symbols(definition,[spl69_17])],[avatar_definition]) ).

fof(f695,plain,
    ( xsd_integer(sK68)
    | ~ spl69_17 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f696,plain,
    ( ~ xsd_integer(sK68)
    | spl69_17 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f698,definition,
    ( spl69_18
  <=> cowlNothing(sK67) ),
    introduced(definition,[new_symbols(definition,[spl69_18])],[avatar_definition]) ).

fof(f700,plain,
    ( cowlNothing(sK67)
    | ~ spl69_18 ),
    inference(avatar_component_clause,[],[f698]) ).

fof(f702,definition,
    ( spl69_19
  <=> cowlThing(sK67) ),
    introduced(definition,[new_symbols(definition,[spl69_19])],[avatar_definition]) ).

fof(f704,plain,
    ( ~ cowlThing(sK67)
    | spl69_19 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f705,plain,
    ( ~ spl69_1
    | ~ spl69_2
    | ~ spl69_3
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_6
    | ~ spl69_7
    | ~ spl69_8
    | ~ spl69_9
    | ~ spl69_10
    | ~ spl69_11
    | ~ spl69_12
    | ~ spl69_13
    | ~ spl69_14
    | ~ spl69_15
    | spl69_16
    | ~ spl69_17
    | spl69_18
    | ~ spl69_19 ),
    inference(avatar_split_clause,[],[f627,f702,f698,f694,f690,f686,f682,f678,f674,f670,f666,f662,f658,f654,f650,f646,f642,f638,f634,f630]) ).

fof(f706,plain,
    ( ~ spl69_1
    | ~ spl69_2
    | ~ spl69_3
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_6
    | ~ spl69_7
    | ~ spl69_8
    | ~ spl69_9
    | ~ spl69_10
    | ~ spl69_11
    | ~ spl69_12
    | ~ spl69_13
    | ~ spl69_14
    | ~ spl69_15
    | ~ spl69_16
    | spl69_17
    | spl69_18
    | ~ spl69_19 ),
    inference(avatar_split_clause,[],[f628,f702,f698,f694,f690,f686,f682,f678,f674,f670,f666,f662,f658,f654,f650,f646,f642,f638,f634,f630]) ).

fof(f707,plain,
    spl69_1,
    inference(avatar_split_clause,[],[f616,f630]) ).

fof(f708,plain,
    spl69_5,
    inference(avatar_split_clause,[],[f613,f646]) ).

fof(f709,plain,
    spl69_7,
    inference(avatar_split_clause,[],[f595,f654]) ).

fof(f752,plain,
    ( cC80(iV8471)
    | ~ cC2xcomp(iV8471) ),
    inference(resolution,[],[f555,f611]) ).

fof(f754,plain,
    cC80(iV8471),
    inference(forward_subsumption_resolution,[],[f752,f612]) ).

fof(f755,plain,
    spl69_4,
    inference(avatar_split_clause,[],[f754,f642]) ).

fof(f767,plain,
    ! [X0] :
      ( ~ rR1(X0,iV8470)
      | cC14(X0) ),
    inference(resolution,[],[f402,f609]) ).

fof(f768,plain,
    cC14(iV8467),
    inference(resolution,[],[f767,f597]) ).

fof(f769,plain,
    spl69_10,
    inference(avatar_split_clause,[],[f768,f666]) ).

fof(f775,plain,
    ! [X0] :
      ( ~ rR1(X0,iV8471)
      | cC20(X0) ),
    inference(resolution,[],[f416,f612]) ).

fof(f787,plain,
    cC20(iV8467),
    inference(resolution,[],[f775,f596]) ).

fof(f788,plain,
    spl69_15,
    inference(avatar_split_clause,[],[f787,f686]) ).

fof(f790,plain,
    ( rR1(iV8467,sK7(iV8467))
    | ~ spl69_15 ),
    inference(resolution,[],[f687,f415]) ).

fof(f791,plain,
    ( cC2xcomp(sK7(iV8467))
    | ~ spl69_15 ),
    inference(resolution,[],[f687,f414]) ).

fof(f797,plain,
    ! [X0] :
      ( ~ rR1(X0,iV8474)
      | cC34(X0) ),
    inference(resolution,[],[f449,f620]) ).

fof(f810,plain,
    ( ! [X0] :
        ( ~ rR1(X0,sK7(iV8467))
        | cC4(X0) )
    | ~ spl69_15 ),
    inference(resolution,[],[f462,f791]) ).

fof(f822,plain,
    ( ! [X0] :
        ( ~ rR1(X0,sK7(iV8467))
        | cC48(X0) )
    | ~ spl69_15 ),
    inference(resolution,[],[f479,f791]) ).

fof(f826,plain,
    ( cC4(iV8467)
    | ~ spl69_15 ),
    inference(resolution,[],[f810,f790]) ).

fof(f827,plain,
    ( spl69_14
    | ~ spl69_15 ),
    inference(avatar_split_clause,[],[f826,f686,f682]) ).

fof(f828,plain,
    ( cC48(iV8467)
    | ~ spl69_15 ),
    inference(resolution,[],[f822,f790]) ).

fof(f829,plain,
    ( spl69_6
    | ~ spl69_15 ),
    inference(avatar_split_clause,[],[f828,f686,f650]) ).

fof(f838,plain,
    ! [X0] :
      ( ~ rR1(X0,iV8476)
      | cC58(X0) ),
    inference(resolution,[],[f504,f625]) ).

fof(f864,plain,
    ! [X0] :
      ( ~ rR1(X0,iV8469)
      | cC8(X0) ),
    inference(resolution,[],[f552,f606]) ).

fof(f868,plain,
    ( ! [X0] :
        ( ~ rR1(X0,iV8471)
        | cC82(X0) )
    | ~ spl69_4 ),
    inference(resolution,[],[f560,f643]) ).

fof(f887,plain,
    ( cC82(iV8467)
    | ~ spl69_4 ),
    inference(resolution,[],[f868,f596]) ).

fof(f888,plain,
    ( spl69_12
    | ~ spl69_4 ),
    inference(avatar_split_clause,[],[f887,f642,f674]) ).

fof(f930,plain,
    cC34(iV8467),
    inference(resolution,[],[f797,f599]) ).

fof(f931,plain,
    spl69_9,
    inference(avatar_split_clause,[],[f930,f662]) ).

fof(f970,plain,
    cC58(iV8472),
    inference(resolution,[],[f838,f617]) ).

fof(f971,plain,
    spl69_3,
    inference(avatar_split_clause,[],[f970,f638]) ).

fof(f972,plain,
    ( ~ cC2xcomp(iV8472)
    | cC60(iV8472)
    | ~ spl69_3 ),
    inference(resolution,[],[f639,f514]) ).

fof(f975,plain,
    ( cC60(iV8472)
    | ~ spl69_3 ),
    inference(forward_subsumption_resolution,[],[f972,f615]) ).

fof(f976,plain,
    ( $false
    | spl69_2
    | ~ spl69_3 ),
    inference(forward_subsumption_resolution,[],[f975,f636]) ).

fof(f977,plain,
    ( spl69_2
    | ~ spl69_3 ),
    inference(avatar_contradiction_clause,[],[f976]) ).

fof(f978,plain,
    ( ! [X0] :
        ( ~ rR1(X0,iV8472)
        | cC62(X0) )
    | ~ spl69_2 ),
    inference(resolution,[],[f635,f517]) ).

fof(f987,plain,
    ( cC62(iV8467)
    | ~ spl69_2 ),
    inference(resolution,[],[f978,f603]) ).

fof(f988,plain,
    ( spl69_11
    | ~ spl69_2 ),
    inference(avatar_split_clause,[],[f987,f634,f670]) ).

fof(f1056,plain,
    cC8(iV8467),
    inference(resolution,[],[f864,f598]) ).

fof(f1057,plain,
    spl69_13,
    inference(avatar_split_clause,[],[f1056,f678]) ).

fof(f1058,plain,
    ( ~ cC4(iV8467)
    | cC10(iV8467)
    | ~ spl69_13 ),
    inference(resolution,[],[f679,f397]) ).

fof(f1059,plain,
    ( cC10(iV8467)
    | ~ spl69_13
    | ~ spl69_14 ),
    inference(forward_subsumption_resolution,[],[f1058,f683]) ).

fof(f1060,plain,
    ( $false
    | spl69_8
    | ~ spl69_13
    | ~ spl69_14 ),
    inference(forward_subsumption_resolution,[],[f1059,f660]) ).

fof(f1061,plain,
    ( spl69_8
    | ~ spl69_13
    | ~ spl69_14 ),
    inference(avatar_contradiction_clause,[],[f1060]) ).

fof(f1062,plain,
    ( $false
    | spl69_19 ),
    inference(forward_subsumption_resolution,[],[f704,f394]) ).

fof(f1063,plain,
    spl69_19,
    inference(avatar_contradiction_clause,[],[f1062]) ).

fof(f1064,plain,
    ( xsd_string(sK68)
    | spl69_17 ),
    inference(resolution,[],[f696,f396]) ).

fof(f1065,plain,
    ( $false
    | spl69_16
    | spl69_17 ),
    inference(forward_subsumption_resolution,[],[f1064,f691]) ).

fof(f1066,plain,
    ( spl69_16
    | spl69_17 ),
    inference(avatar_contradiction_clause,[],[f1065]) ).

fof(f1067,plain,
    ( ~ xsd_string(sK68)
    | ~ spl69_17 ),
    inference(resolution,[],[f695,f395]) ).

fof(f1068,plain,
    ( $false
    | ~ spl69_16
    | ~ spl69_17 ),
    inference(forward_subsumption_resolution,[],[f1067,f692]) ).

fof(f1069,plain,
    ( ~ spl69_16
    | ~ spl69_17 ),
    inference(avatar_contradiction_clause,[],[f1068]) ).

fof(f1070,plain,
    ( $false
    | ~ spl69_18 ),
    inference(forward_subsumption_resolution,[],[f700,f393]) ).

fof(f1071,plain,
    ~ spl69_18,
    inference(avatar_contradiction_clause,[],[f1070]) ).

cnf(s1,plain,
    ( ~ spl69_1
    | ~ spl69_2
    | ~ spl69_3
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_6
    | ~ spl69_7
    | ~ spl69_8
    | ~ spl69_9
    | ~ spl69_10
    | ~ spl69_11
    | ~ spl69_12
    | ~ spl69_13
    | ~ spl69_14
    | ~ spl69_15
    | spl69_16
    | ~ spl69_17
    | spl69_18
    | ~ spl69_19 ),
    inference(sat_conversion,[],[f705]) ).

cnf(s2,plain,
    ( ~ spl69_1
    | ~ spl69_2
    | ~ spl69_3
    | ~ spl69_4
    | ~ spl69_5
    | ~ spl69_6
    | ~ spl69_7
    | ~ spl69_8
    | ~ spl69_9
    | ~ spl69_10
    | ~ spl69_11
    | ~ spl69_12
    | ~ spl69_13
    | ~ spl69_14
    | ~ spl69_15
    | ~ spl69_16
    | spl69_17
    | spl69_18
    | ~ spl69_19 ),
    inference(sat_conversion,[],[f706]) ).

cnf(s3,plain,
    spl69_1,
    inference(sat_conversion,[],[f707]) ).

cnf(s4,plain,
    spl69_5,
    inference(sat_conversion,[],[f708]) ).

cnf(s5,plain,
    spl69_7,
    inference(sat_conversion,[],[f709]) ).

cnf(s6,plain,
    spl69_4,
    inference(sat_conversion,[],[f755]) ).

cnf(s7,plain,
    spl69_10,
    inference(sat_conversion,[],[f769]) ).

cnf(s8,plain,
    spl69_15,
    inference(sat_conversion,[],[f788]) ).

cnf(s9,plain,
    ( spl69_14
    | ~ spl69_15 ),
    inference(sat_conversion,[],[f827]) ).

cnf(s10,plain,
    ( spl69_6
    | ~ spl69_15 ),
    inference(sat_conversion,[],[f829]) ).

cnf(s11,plain,
    ( ~ spl69_4
    | spl69_12 ),
    inference(sat_conversion,[],[f888]) ).

cnf(s12,plain,
    spl69_9,
    inference(sat_conversion,[],[f931]) ).

cnf(s13,plain,
    spl69_3,
    inference(sat_conversion,[],[f971]) ).

cnf(s14,plain,
    ( spl69_2
    | ~ spl69_3 ),
    inference(sat_conversion,[],[f977]) ).

cnf(s15,plain,
    ( ~ spl69_2
    | spl69_11 ),
    inference(sat_conversion,[],[f988]) ).

cnf(s16,plain,
    spl69_13,
    inference(sat_conversion,[],[f1057]) ).

cnf(s17,plain,
    ( spl69_8
    | ~ spl69_13
    | ~ spl69_14 ),
    inference(sat_conversion,[],[f1061]) ).

cnf(s18,plain,
    spl69_19,
    inference(sat_conversion,[],[f1063]) ).

cnf(s19,plain,
    ( spl69_16
    | spl69_17 ),
    inference(sat_conversion,[],[f1066]) ).

cnf(s20,plain,
    ( ~ spl69_16
    | ~ spl69_17 ),
    inference(sat_conversion,[],[f1069]) ).

cnf(s21,plain,
    ~ spl69_18,
    inference(sat_conversion,[],[f1071]) ).

cnf(s22,plain,
    spl69_2,
    inference(rat,[],[s14,s13]) ).

cnf(s23,plain,
    spl69_11,
    inference(rat,[],[s15,s22]) ).

cnf(s24,plain,
    spl69_6,
    inference(rat,[],[s10,s8]) ).

cnf(s25,plain,
    spl69_14,
    inference(rat,[],[s9,s8]) ).

cnf(s26,plain,
    spl69_8,
    inference(rat,[],[s17,s16,s25]) ).

cnf(s27,plain,
    spl69_12,
    inference(rat,[],[s11,s6]) ).

cnf(s28,plain,
    ( ~ spl69_16
    | spl69_17 ),
    inference(rat,[],[s2,s18,s21,s8,s25,s16,s27,s23,s7,s12,s26,s5,s24,s4,s6,s13,s22,s3]) ).

cnf(s29,plain,
    ( spl69_16
    | ~ spl69_17 ),
    inference(rat,[],[s1,s18,s21,s8,s25,s16,s27,s23,s7,s12,s26,s5,s24,s4,s6,s13,s22,s3]) ).

cnf(s30,plain,
    spl69_16,
    inference(rat,[],[s29,s19]) ).

cnf(s31,plain,
    ~ spl69_17,
    inference(rat,[],[s20,s30]) ).

cnf(s32,plain,
    $false,
    inference(rat,[],[s28,s31,s30]) ).

fof(f1072,plain,
    $false,
    inference(avatar_sat_refutation,[],[s32]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS155+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.44  % Computer : n015.cluster.edu
% 0.11/0.44  % Model    : x86_64 x86_64
% 0.11/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.44  % Memory   : 8046.5625MB
% 0.11/0.44  % OS       : Linux 6.8.0-71-generic
% 0.11/0.44  % CPULimit : 300
% 0.11/0.44  % WCLimit  : 300
% 0.11/0.44  % DateTime : Sun Sep 27 13:34:25 UTC 2026
% 0.11/0.44  % CPUTime  : 
% 0.11/0.44  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.47  Running first-order model finding
% 0.15/0.47  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.53  % (1678048)Will run a generic schedule for satisfiability detection.
% 0.15/0.53  % (1678059)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1350879707:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.53  % (1678054)% WARNING: option uhcvi not known.
% 0.15/0.53  % (1678053)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3611352719_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.53  % (1678054)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2306419943:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.53  % (1678055)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=311242094:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.53  % (1678056)dis+10_1_sil=32000:sp=arity:random_seed=2596362656:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.53  % (1678057)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3899226881:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.53  % (1678058)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1739142018:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.53  % TRYING [1]
% 0.15/0.53  % TRYING [2]
% 0.15/0.53  % (1678058) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1678048-1678058"...
% 0.15/0.53  % TRYING [3]
% 0.15/0.53  % (1678057) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1678048-1678057"...
% 0.15/0.53  % (1678058)...printing done.
% 0.15/0.53  % TRYING [4]
% 0.15/0.53  % (1678058)Refutation found. Thanks to Tanya!
% 0.15/0.53  % SZS status Theorem for theBenchmark
% 0.15/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.53  % (1678058)------------------------------
% 0.15/0.53  % (1678058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.53  % (1678058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.53  % (1678058)CaDiCaL version: 2.1.3
% 0.15/0.53  % (1678058)Termination reason: Refutation
% 0.15/0.53  % (1678058)Time elapsed: 0.013 s
% 0.15/0.53  % (1678058)Peak memory usage: 12 MB
% 0.15/0.53  % (1678058)Instructions burned: 20 (million)
% 0.15/0.53  % (1678048)Success in time 0.049 s
% 0.15/0.53  % Vampire exiting
%------------------------------------------------------------------------------