TSTP Solution File: KRS158+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : KRS158+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n008.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 : Wed Aug 31 17:29:52 EDT 2022

% Result   : Theorem 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  126 (  26 unt;   0 def)
%            Number of atoms       :  529 (   0 equ)
%            Maximal formula atoms :   15 (   4 avg)
%            Number of connectives :  695 ( 292   ~; 294   |;  83   &)
%                                         (  20 <=>;   5  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   24 (  23 usr;   8 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-1 aty)
%            Number of variables   :   74 (  56   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f277,plain,
    $false,
    inference(avatar_sat_refutation,[],[f187,f201,f211,f227,f234,f251,f260,f276]) ).

fof(f276,plain,
    ( ~ spl11_6
    | ~ spl11_7 ),
    inference(avatar_contradiction_clause,[],[f275]) ).

fof(f275,plain,
    ( $false
    | ~ spl11_6
    | ~ spl11_7 ),
    inference(subsumption_resolution,[],[f273,f200]) ).

fof(f200,plain,
    ( xsd_integer(sK0)
    | ~ spl11_7 ),
    inference(avatar_component_clause,[],[f198]) ).

fof(f198,plain,
    ( spl11_7
  <=> xsd_integer(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).

fof(f273,plain,
    ( ~ xsd_integer(sK0)
    | ~ spl11_6 ),
    inference(unit_resulting_resolution,[],[f186,f130]) ).

fof(f130,plain,
    ! [X0] :
      ( ~ xsd_string(X0)
      | ~ xsd_integer(X0) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0] :
      ( ( xsd_string(X0)
        | xsd_integer(X0) )
      & ( ~ xsd_integer(X0)
        | ~ xsd_string(X0) ) ),
    inference(nnf_transformation,[],[f2]) ).

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

fof(f186,plain,
    ( xsd_string(sK0)
    | ~ spl11_6 ),
    inference(avatar_component_clause,[],[f184]) ).

fof(f184,plain,
    ( spl11_6
  <=> xsd_string(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).

fof(f260,plain,
    ( spl11_4
    | ~ spl11_5 ),
    inference(avatar_contradiction_clause,[],[f259]) ).

fof(f259,plain,
    ( $false
    | spl11_4
    | ~ spl11_5 ),
    inference(subsumption_resolution,[],[f253,f181]) ).

fof(f181,plain,
    ( cC12(iV16562)
    | ~ spl11_5 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f180,plain,
    ( spl11_5
  <=> cC12(iV16562) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).

fof(f253,plain,
    ( ~ cC12(iV16562)
    | spl11_4 ),
    inference(unit_resulting_resolution,[],[f101,f178,f152]) ).

fof(f152,plain,
    ! [X0,X1] :
      ( ~ cC12(X1)
      | ~ rR1(X0,X1)
      | cC14(X0) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0] :
      ( ( cC14(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC12(X1) ) )
      & ( ( rR1(X0,sK9(X0))
          & cC12(sK9(X0)) )
        | ~ cC14(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f93,f94]) ).

fof(f94,plain,
    ! [X0] :
      ( ? [X2] :
          ( rR1(X0,X2)
          & cC12(X2) )
     => ( rR1(X0,sK9(X0))
        & cC12(sK9(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f93,plain,
    ! [X0] :
      ( ( cC14(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC12(X1) ) )
      & ( ? [X2] :
            ( rR1(X0,X2)
            & cC12(X2) )
        | ~ cC14(X0) ) ),
    inference(rectify,[],[f92]) ).

fof(f92,plain,
    ! [X0] :
      ( ( cC14(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC12(X1) ) )
      & ( ? [X1] :
            ( rR1(X0,X1)
            & cC12(X1) )
        | ~ cC14(X0) ) ),
    inference(nnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0] :
      ( cC14(X0)
    <=> ? [X1] :
          ( rR1(X0,X1)
          & cC12(X1) ) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( ? [X2] :
          ( cC12(X2)
          & rR1(X0,X2) )
    <=> cC14(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

fof(f178,plain,
    ( ~ cC14(iV16560)
    | spl11_4 ),
    inference(avatar_component_clause,[],[f176]) ).

fof(f176,plain,
    ( spl11_4
  <=> cC14(iV16560) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).

fof(f101,plain,
    rR1(iV16560,iV16562),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,axiom,
    rR1(iV16560,iV16562),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).

fof(f251,plain,
    spl11_5,
    inference(avatar_contradiction_clause,[],[f250]) ).

fof(f250,plain,
    ( $false
    | spl11_5 ),
    inference(subsumption_resolution,[],[f249,f147]) ).

fof(f147,plain,
    cC10xcomp(iV16562),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,axiom,
    cC10xcomp(iV16562),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).

fof(f249,plain,
    ( ~ cC10xcomp(iV16562)
    | spl11_5 ),
    inference(subsumption_resolution,[],[f243,f153]) ).

fof(f153,plain,
    cC2xcomp(iV16562),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,axiom,
    cC2xcomp(iV16562),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).

fof(f243,plain,
    ( ~ cC2xcomp(iV16562)
    | ~ cC10xcomp(iV16562)
    | spl11_5 ),
    inference(resolution,[],[f182,f143]) ).

fof(f143,plain,
    ! [X0] :
      ( ~ cC10xcomp(X0)
      | ~ cC2xcomp(X0)
      | cC12(X0) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ! [X0] :
      ( ( cC12(X0)
        | ~ cC2xcomp(X0)
        | ~ cC10xcomp(X0) )
      & ( ( cC2xcomp(X0)
          & cC10xcomp(X0) )
        | ~ cC12(X0) ) ),
    inference(flattening,[],[f88]) ).

fof(f88,plain,
    ! [X0] :
      ( ( cC12(X0)
        | ~ cC2xcomp(X0)
        | ~ cC10xcomp(X0) )
      & ( ( cC2xcomp(X0)
          & cC10xcomp(X0) )
        | ~ cC12(X0) ) ),
    inference(nnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( cC12(X0)
    <=> ( cC2xcomp(X0)
        & cC10xcomp(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(f182,plain,
    ( ~ cC12(iV16562)
    | spl11_5 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f234,plain,
    ( spl11_1
    | ~ spl11_3 ),
    inference(avatar_split_clause,[],[f230,f172,f164]) ).

fof(f164,plain,
    ( spl11_1
  <=> cC8(iV16560) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).

fof(f172,plain,
    ( spl11_3
  <=> cC6(iV16561) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).

fof(f230,plain,
    ( cC8(iV16560)
    | ~ spl11_3 ),
    inference(unit_resulting_resolution,[],[f112,f173,f140]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( cC8(X0)
      | ~ rR1(X0,X1)
      | ~ cC6(X1) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0] :
      ( ( cC8(X0)
        | ! [X1] :
            ( ~ cC6(X1)
            | ~ rR1(X0,X1) ) )
      & ( ( cC6(sK8(X0))
          & rR1(X0,sK8(X0)) )
        | ~ cC8(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f85,f86]) ).

fof(f86,plain,
    ! [X0] :
      ( ? [X2] :
          ( cC6(X2)
          & rR1(X0,X2) )
     => ( cC6(sK8(X0))
        & rR1(X0,sK8(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f85,plain,
    ! [X0] :
      ( ( cC8(X0)
        | ! [X1] :
            ( ~ cC6(X1)
            | ~ rR1(X0,X1) ) )
      & ( ? [X2] :
            ( cC6(X2)
            & rR1(X0,X2) )
        | ~ cC8(X0) ) ),
    inference(rectify,[],[f84]) ).

fof(f84,plain,
    ! [X0] :
      ( ( cC8(X0)
        | ! [X1] :
            ( ~ cC6(X1)
            | ~ rR1(X0,X1) ) )
      & ( ? [X1] :
            ( cC6(X1)
            & rR1(X0,X1) )
        | ~ cC8(X0) ) ),
    inference(nnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( cC8(X0)
    <=> ? [X1] :
          ( cC6(X1)
          & rR1(X0,X1) ) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X0] :
      ( ? [X2] :
          ( rR1(X0,X2)
          & cC6(X2) )
    <=> cC8(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).

fof(f173,plain,
    ( cC6(iV16561)
    | ~ spl11_3 ),
    inference(avatar_component_clause,[],[f172]) ).

fof(f112,plain,
    rR1(iV16560,iV16561),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,axiom,
    rR1(iV16560,iV16561),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).

fof(f227,plain,
    spl11_3,
    inference(avatar_contradiction_clause,[],[f226]) ).

fof(f226,plain,
    ( $false
    | spl11_3 ),
    inference(subsumption_resolution,[],[f225,f100]) ).

fof(f100,plain,
    cC4xcomp(iV16561),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,axiom,
    cC4xcomp(iV16561),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).

fof(f225,plain,
    ( ~ cC4xcomp(iV16561)
    | spl11_3 ),
    inference(subsumption_resolution,[],[f219,f136]) ).

fof(f136,plain,
    cC2xcomp(iV16561),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,axiom,
    cC2xcomp(iV16561),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).

fof(f219,plain,
    ( ~ cC2xcomp(iV16561)
    | ~ cC4xcomp(iV16561)
    | spl11_3 ),
    inference(resolution,[],[f174,f106]) ).

fof(f106,plain,
    ! [X0] :
      ( cC6(X0)
      | ~ cC2xcomp(X0)
      | ~ cC4xcomp(X0) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0] :
      ( ( ( cC2xcomp(X0)
          & cC4xcomp(X0) )
        | ~ cC6(X0) )
      & ( cC6(X0)
        | ~ cC2xcomp(X0)
        | ~ cC4xcomp(X0) ) ),
    inference(flattening,[],[f59]) ).

fof(f59,plain,
    ! [X0] :
      ( ( ( cC2xcomp(X0)
          & cC4xcomp(X0) )
        | ~ cC6(X0) )
      & ( cC6(X0)
        | ~ cC2xcomp(X0)
        | ~ cC4xcomp(X0) ) ),
    inference(nnf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( ( cC2xcomp(X0)
        & cC4xcomp(X0) )
    <=> cC6(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).

fof(f174,plain,
    ( ~ cC6(iV16561)
    | spl11_3 ),
    inference(avatar_component_clause,[],[f172]) ).

fof(f211,plain,
    spl11_2,
    inference(avatar_contradiction_clause,[],[f210]) ).

fof(f210,plain,
    ( $false
    | spl11_2 ),
    inference(subsumption_resolution,[],[f203,f128]) ).

fof(f128,plain,
    cTEST(iV16560),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,axiom,
    cTEST(iV16560),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).

fof(f203,plain,
    ( ~ cTEST(iV16560)
    | spl11_2 ),
    inference(unit_resulting_resolution,[],[f170,f115]) ).

fof(f115,plain,
    ! [X0] :
      ( cC18(X0)
      | ~ cTEST(X0) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | ( cTOP(X0)
        & cC18(X0) ) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0] :
      ( cTEST(X0)
     => ( cTOP(X0)
        & cC18(X0) ) ),
    inference(unused_predicate_definition_removal,[],[f17]) ).

fof(f17,axiom,
    ! [X0] :
      ( cTEST(X0)
    <=> ( cTOP(X0)
        & cC18(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).

fof(f170,plain,
    ( ~ cC18(iV16560)
    | spl11_2 ),
    inference(avatar_component_clause,[],[f168]) ).

fof(f168,plain,
    ( spl11_2
  <=> cC18(iV16560) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).

fof(f201,plain,
    ( ~ spl11_2
    | ~ spl11_3
    | spl11_7
    | ~ spl11_5 ),
    inference(avatar_split_clause,[],[f196,f180,f198,f172,f168]) ).

fof(f196,plain,
    ( ~ cC12(iV16562)
    | xsd_integer(sK0)
    | ~ cC6(iV16561)
    | ~ cC18(iV16560) ),
    inference(subsumption_resolution,[],[f195,f145]) ).

fof(f145,plain,
    ! [X0] :
      ( ~ cC18(X0)
      | cC16(X0) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ! [X0] :
      ( ( cC18(X0)
        | ~ cC16(X0)
        | ~ cTOP(X0) )
      & ( ( cC16(X0)
          & cTOP(X0) )
        | ~ cC18(X0) ) ),
    inference(flattening,[],[f90]) ).

fof(f90,plain,
    ! [X0] :
      ( ( cC18(X0)
        | ~ cC16(X0)
        | ~ cTOP(X0) )
      & ( ( cC16(X0)
          & cTOP(X0) )
        | ~ cC18(X0) ) ),
    inference(nnf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( cC18(X0)
    <=> ( cC16(X0)
        & cTOP(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).

fof(f195,plain,
    ( ~ cC18(iV16560)
    | ~ cC12(iV16562)
    | ~ cC16(iV16560)
    | ~ cC6(iV16561)
    | xsd_integer(sK0) ),
    inference(subsumption_resolution,[],[f194,f131]) ).

fof(f131,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f194,plain,
    ( ~ xsd_string(sK0)
    | ~ cC16(iV16560)
    | ~ cC18(iV16560)
    | xsd_integer(sK0)
    | ~ cC12(iV16562)
    | ~ cC6(iV16561) ),
    inference(subsumption_resolution,[],[f193,f126]) ).

fof(f126,plain,
    ! [X0] :
      ( ~ cC16(X0)
      | cC14(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0] :
      ( ( ( cC8(X0)
          & cC14(X0) )
        | ~ cC16(X0) )
      & ( cC16(X0)
        | ~ cC8(X0)
        | ~ cC14(X0) ) ),
    inference(flattening,[],[f77]) ).

fof(f77,plain,
    ! [X0] :
      ( ( ( cC8(X0)
          & cC14(X0) )
        | ~ cC16(X0) )
      & ( cC16(X0)
        | ~ cC8(X0)
        | ~ cC14(X0) ) ),
    inference(nnf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( ( cC8(X0)
        & cC14(X0) )
    <=> cC16(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

fof(f193,plain,
    ( ~ cC14(iV16560)
    | ~ cC12(iV16562)
    | xsd_integer(sK0)
    | ~ cC18(iV16560)
    | ~ xsd_string(sK0)
    | ~ cC16(iV16560)
    | ~ cC6(iV16561) ),
    inference(subsumption_resolution,[],[f192,f127]) ).

fof(f127,plain,
    ! [X0] :
      ( ~ cC16(X0)
      | cC8(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f192,plain,
    ( ~ xsd_string(sK0)
    | ~ cC12(iV16562)
    | ~ cC6(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | xsd_integer(sK0)
    | ~ cC18(iV16560)
    | ~ cC16(iV16560) ),
    inference(subsumption_resolution,[],[f191,f123]) ).

fof(f123,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f1]) ).

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

fof(f191,plain,
    ( ~ xsd_string(sK0)
    | ~ cC18(iV16560)
    | xsd_integer(sK0)
    | ~ cC16(iV16560)
    | ~ cC14(iV16560)
    | ~ cC12(iV16562)
    | ~ cC8(iV16560)
    | ~ cC6(iV16561)
    | cowlNothing(sK1) ),
    inference(subsumption_resolution,[],[f190,f137]) ).

fof(f137,plain,
    cowlThing(iV16560),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,axiom,
    cowlThing(iV16560),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).

fof(f190,plain,
    ( ~ cC18(iV16560)
    | ~ cC6(iV16561)
    | ~ cC12(iV16562)
    | ~ cC8(iV16560)
    | ~ cC16(iV16560)
    | ~ cowlThing(iV16560)
    | ~ xsd_string(sK0)
    | cowlNothing(sK1)
    | ~ cC14(iV16560)
    | xsd_integer(sK0) ),
    inference(subsumption_resolution,[],[f189,f132]) ).

fof(f132,plain,
    cowlThing(iV16561),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,axiom,
    cowlThing(iV16561),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).

fof(f189,plain,
    ( ~ cC8(iV16560)
    | ~ cowlThing(iV16561)
    | ~ cC12(iV16562)
    | ~ cC18(iV16560)
    | ~ cC14(iV16560)
    | xsd_integer(sK0)
    | ~ cC16(iV16560)
    | ~ xsd_string(sK0)
    | ~ cowlThing(iV16560)
    | ~ cC6(iV16561)
    | cowlNothing(sK1) ),
    inference(subsumption_resolution,[],[f188,f124]) ).

fof(f124,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f188,plain,
    ( ~ cC12(iV16562)
    | ~ cowlThing(sK1)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC18(iV16560)
    | ~ xsd_string(sK0)
    | cowlNothing(sK1)
    | ~ cowlThing(iV16560)
    | ~ cC6(iV16561)
    | ~ cC16(iV16560)
    | ~ cC14(iV16560)
    | xsd_integer(sK0) ),
    inference(subsumption_resolution,[],[f103,f149]) ).

fof(f149,plain,
    cowlThing(iV16562),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,axiom,
    cowlThing(iV16562),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).

fof(f103,plain,
    ( ~ cC6(iV16561)
    | ~ xsd_string(sK0)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC16(iV16560)
    | cowlNothing(sK1)
    | ~ cC18(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cowlThing(iV16561)
    | ~ cowlThing(sK1)
    | ~ cC8(iV16560)
    | xsd_integer(sK0) ),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    ( ~ cC6(iV16561)
    | ~ cowlThing(iV16562)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ( ( xsd_integer(sK0)
        | ~ xsd_string(sK0) )
      & ( ~ xsd_integer(sK0)
        | xsd_string(sK0) ) )
    | ~ cC16(iV16560)
    | ~ cC12(iV16562)
    | ~ cC18(iV16560)
    | ~ cowlThing(sK1)
    | cowlNothing(sK1)
    | ~ cowlThing(iV16560)
    | ~ cowlThing(iV16561) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f51,f53,f52]) ).

fof(f52,plain,
    ( ? [X0] :
        ( ( xsd_integer(X0)
          | ~ xsd_string(X0) )
        & ( ~ xsd_integer(X0)
          | xsd_string(X0) ) )
   => ( ( xsd_integer(sK0)
        | ~ xsd_string(sK0) )
      & ( ~ xsd_integer(sK0)
        | xsd_string(sK0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f53,plain,
    ( ? [X1] :
        ( ~ cowlThing(X1)
        | cowlNothing(X1) )
   => ( ~ cowlThing(sK1)
      | cowlNothing(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f51,plain,
    ( ~ cC6(iV16561)
    | ~ cowlThing(iV16562)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ? [X0] :
        ( ( xsd_integer(X0)
          | ~ xsd_string(X0) )
        & ( ~ xsd_integer(X0)
          | xsd_string(X0) ) )
    | ~ cC16(iV16560)
    | ~ cC12(iV16562)
    | ~ cC18(iV16560)
    | ? [X1] :
        ( ~ cowlThing(X1)
        | cowlNothing(X1) )
    | ~ cowlThing(iV16560)
    | ~ cowlThing(iV16561) ),
    inference(rectify,[],[f50]) ).

fof(f50,plain,
    ( ~ cC6(iV16561)
    | ~ cowlThing(iV16562)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ? [X1] :
        ( ( xsd_integer(X1)
          | ~ xsd_string(X1) )
        & ( ~ xsd_integer(X1)
          | xsd_string(X1) ) )
    | ~ cC16(iV16560)
    | ~ cC12(iV16562)
    | ~ cC18(iV16560)
    | ? [X0] :
        ( ~ cowlThing(X0)
        | cowlNothing(X0) )
    | ~ cowlThing(iV16560)
    | ~ cowlThing(iV16561) ),
    inference(nnf_transformation,[],[f44]) ).

fof(f44,plain,
    ( ~ cC6(iV16561)
    | ~ cowlThing(iV16562)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ? [X1] :
        ( xsd_string(X1)
      <~> ~ xsd_integer(X1) )
    | ~ cC16(iV16560)
    | ~ cC12(iV16562)
    | ~ cC18(iV16560)
    | ? [X0] :
        ( ~ cowlThing(X0)
        | cowlNothing(X0) )
    | ~ cowlThing(iV16560)
    | ~ cowlThing(iV16561) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,plain,
    ~ ( cC14(iV16560)
      & cowlThing(iV16562)
      & cC16(iV16560)
      & cC18(iV16560)
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & cC6(iV16561)
      & cC12(iV16562)
      & cowlThing(iV16560)
      & ! [X0] :
          ( ~ cowlNothing(X0)
          & cowlThing(X0) )
      & cowlThing(iV16561)
      & cC8(iV16560) ),
    inference(rectify,[],[f32]) ).

fof(f32,negated_conjecture,
    ~ ( cC16(iV16560)
      & cC6(iV16561)
      & ! [X0] :
          ( ~ cowlNothing(X0)
          & cowlThing(X0) )
      & cC14(iV16560)
      & cowlThing(iV16562)
      & cC12(iV16562)
      & cowlThing(iV16561)
      & cC8(iV16560)
      & cC18(iV16560)
      & ! [X0] :
          ( ~ xsd_integer(X0)
        <=> xsd_string(X0) )
      & cowlThing(iV16560) ),
    inference(negated_conjecture,[],[f31]) ).

fof(f31,conjecture,
    ( cC16(iV16560)
    & cC6(iV16561)
    & ! [X0] :
        ( ~ cowlNothing(X0)
        & cowlThing(X0) )
    & cC14(iV16560)
    & cowlThing(iV16562)
    & cC12(iV16562)
    & cowlThing(iV16561)
    & cC8(iV16560)
    & cC18(iV16560)
    & ! [X0] :
        ( ~ xsd_integer(X0)
      <=> xsd_string(X0) )
    & cowlThing(iV16560) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

fof(f187,plain,
    ( ~ spl11_1
    | ~ spl11_2
    | ~ spl11_3
    | ~ spl11_4
    | ~ spl11_5
    | spl11_6 ),
    inference(avatar_split_clause,[],[f162,f184,f180,f176,f172,f168,f164]) ).

fof(f162,plain,
    ( xsd_string(sK0)
    | ~ cC12(iV16562)
    | ~ cC14(iV16560)
    | ~ cC6(iV16561)
    | ~ cC18(iV16560)
    | ~ cC8(iV16560) ),
    inference(subsumption_resolution,[],[f161,f131]) ).

fof(f161,plain,
    ( ~ cC12(iV16562)
    | ~ xsd_integer(sK0)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cC6(iV16561)
    | xsd_string(sK0)
    | ~ cC18(iV16560) ),
    inference(subsumption_resolution,[],[f160,f145]) ).

fof(f160,plain,
    ( ~ cC16(iV16560)
    | xsd_string(sK0)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cC12(iV16562)
    | ~ cC18(iV16560)
    | ~ cC6(iV16561)
    | ~ xsd_integer(sK0) ),
    inference(subsumption_resolution,[],[f159,f132]) ).

fof(f159,plain,
    ( ~ cC6(iV16561)
    | ~ cC18(iV16560)
    | ~ cC14(iV16560)
    | ~ xsd_integer(sK0)
    | xsd_string(sK0)
    | ~ cowlThing(iV16561)
    | ~ cC12(iV16562)
    | ~ cC16(iV16560)
    | ~ cC8(iV16560) ),
    inference(subsumption_resolution,[],[f158,f124]) ).

fof(f158,plain,
    ( xsd_string(sK0)
    | ~ xsd_integer(sK0)
    | ~ cC6(iV16561)
    | ~ cC12(iV16562)
    | ~ cC14(iV16560)
    | ~ cC18(iV16560)
    | ~ cC16(iV16560)
    | ~ cC8(iV16560)
    | ~ cowlThing(sK1)
    | ~ cowlThing(iV16561) ),
    inference(subsumption_resolution,[],[f157,f123]) ).

fof(f157,plain,
    ( ~ cC16(iV16560)
    | ~ cC6(iV16561)
    | ~ cC14(iV16560)
    | xsd_string(sK0)
    | ~ cC12(iV16562)
    | ~ xsd_integer(sK0)
    | cowlNothing(sK1)
    | ~ cC18(iV16560)
    | ~ cowlThing(sK1)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560) ),
    inference(subsumption_resolution,[],[f156,f149]) ).

fof(f156,plain,
    ( ~ cC16(iV16560)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | cowlNothing(sK1)
    | ~ cC18(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(sK1)
    | xsd_string(sK0)
    | ~ cC12(iV16562)
    | ~ xsd_integer(sK0)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560) ),
    inference(subsumption_resolution,[],[f102,f137]) ).

fof(f102,plain,
    ( ~ cC18(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC6(iV16561)
    | ~ cC16(iV16560)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC14(iV16560)
    | cowlNothing(sK1)
    | ~ xsd_integer(sK0)
    | ~ cC8(iV16560)
    | ~ cowlThing(sK1)
    | ~ cowlThing(iV16561)
    | xsd_string(sK0) ),
    inference(cnf_transformation,[],[f54]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : KRS158+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 00:39:40 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.51  % (19756)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51  % (19748)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.51  % (19744)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (19748)First to succeed.
% 0.19/0.52  % (19748)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Theorem for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (19748)------------------------------
% 0.19/0.52  % (19748)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (19748)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (19748)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (19748)Memory used [KB]: 6012
% 0.19/0.52  % (19748)Time elapsed: 0.109 s
% 0.19/0.52  % (19748)Instructions burned: 4 (million)
% 0.19/0.52  % (19748)------------------------------
% 0.19/0.52  % (19748)------------------------------
% 0.19/0.52  % (19739)Success in time 0.165 s
%------------------------------------------------------------------------------