TSTP Solution File: KRS150+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : KRS150+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 : n020.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 17:29:51 EDT 2022

% Result   : Theorem 0.20s 0.57s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  118 (  26 unt;   0 def)
%            Number of atoms       :  495 (   0 equ)
%            Maximal formula atoms :   15 (   4 avg)
%            Number of connectives :  656 ( 279   ~; 273   |;  80   &)
%                                         (  18 <=>;   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   :   67 (  53   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f226,plain,
    $false,
    inference(avatar_sat_refutation,[],[f138,f151,f157,f169,f192,f199,f218,f225]) ).

fof(f225,plain,
    ( spl6_5
    | spl6_7 ),
    inference(avatar_contradiction_clause,[],[f224]) ).

fof(f224,plain,
    ( $false
    | spl6_5
    | spl6_7 ),
    inference(subsumption_resolution,[],[f222,f150]) ).

fof(f150,plain,
    ( ~ xsd_integer(sK2)
    | spl6_7 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f148,plain,
    ( spl6_7
  <=> xsd_integer(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).

fof(f222,plain,
    ( xsd_integer(sK2)
    | spl6_5 ),
    inference(unit_resulting_resolution,[],[f133,f92]) ).

fof(f92,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0] :
      ( ( ~ xsd_integer(X0)
        | ~ xsd_string(X0) )
      & ( xsd_string(X0)
        | xsd_integer(X0) ) ),
    inference(nnf_transformation,[],[f2]) ).

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

fof(f133,plain,
    ( ~ xsd_string(sK2)
    | spl6_5 ),
    inference(avatar_component_clause,[],[f131]) ).

fof(f131,plain,
    ( spl6_5
  <=> xsd_string(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).

fof(f218,plain,
    spl6_6,
    inference(avatar_contradiction_clause,[],[f217]) ).

fof(f217,plain,
    ( $false
    | spl6_6 ),
    inference(subsumption_resolution,[],[f207,f77]) ).

fof(f77,plain,
    cTEST(iV16560),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,axiom,
    cTEST(iV16560),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).

fof(f207,plain,
    ( ~ cTEST(iV16560)
    | spl6_6 ),
    inference(unit_resulting_resolution,[],[f137,f85]) ).

fof(f85,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | cC18(X0) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | ( cTOP(X0)
        & cC18(X0) ) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0] :
      ( cTEST(X0)
     => ( cTOP(X0)
        & cC18(X0) ) ),
    inference(unused_predicate_definition_removal,[],[f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( cTEST(X0)
    <=> ( cTOP(X0)
        & cC18(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).

fof(f137,plain,
    ( ~ cC18(iV16560)
    | spl6_6 ),
    inference(avatar_component_clause,[],[f135]) ).

fof(f135,plain,
    ( spl6_6
  <=> cC18(iV16560) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).

fof(f199,plain,
    ( spl6_2
    | ~ spl6_4 ),
    inference(avatar_split_clause,[],[f194,f127,f119]) ).

fof(f119,plain,
    ( spl6_2
  <=> cC8(iV16560) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).

fof(f127,plain,
    ( spl6_4
  <=> cC6(iV16561) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).

fof(f194,plain,
    ( cC8(iV16560)
    | ~ spl6_4 ),
    inference(unit_resulting_resolution,[],[f76,f128,f105]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ~ cC6(X1)
      | ~ rR1(X0,X1)
      | cC8(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0] :
      ( ( cC8(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC6(X1) ) )
      & ( ( rR1(X0,sK5(X0))
          & cC6(sK5(X0)) )
        | ~ cC8(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f59,f60]) ).

fof(f60,plain,
    ! [X0] :
      ( ? [X2] :
          ( rR1(X0,X2)
          & cC6(X2) )
     => ( rR1(X0,sK5(X0))
        & cC6(sK5(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f59,plain,
    ! [X0] :
      ( ( cC8(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC6(X1) ) )
      & ( ? [X2] :
            ( rR1(X0,X2)
            & cC6(X2) )
        | ~ cC8(X0) ) ),
    inference(rectify,[],[f58]) ).

fof(f58,plain,
    ! [X0] :
      ( ( cC8(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC6(X1) ) )
      & ( ? [X1] :
            ( rR1(X0,X1)
            & cC6(X1) )
        | ~ cC8(X0) ) ),
    inference(nnf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( cC8(X0)
    <=> ? [X1] :
          ( rR1(X0,X1)
          & cC6(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).

fof(f128,plain,
    ( cC6(iV16561)
    | ~ spl6_4 ),
    inference(avatar_component_clause,[],[f127]) ).

fof(f76,plain,
    rR1(iV16560,iV16561),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,axiom,
    rR1(iV16560,iV16561),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).

fof(f192,plain,
    spl6_4,
    inference(avatar_contradiction_clause,[],[f191]) ).

fof(f191,plain,
    ( $false
    | spl6_4 ),
    inference(subsumption_resolution,[],[f182,f79]) ).

fof(f79,plain,
    ~ cC4(iV16561),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ~ cC4(iV16561),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).

fof(f182,plain,
    ( cC4(iV16561)
    | spl6_4 ),
    inference(unit_resulting_resolution,[],[f80,f129,f94]) ).

fof(f94,plain,
    ! [X0] :
      ( cC6(X0)
      | cC2(X0)
      | cC4(X0) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0] :
      ( ( ( ~ cC2(X0)
          & ~ cC4(X0) )
        | ~ cC6(X0) )
      & ( cC6(X0)
        | cC2(X0)
        | cC4(X0) ) ),
    inference(flattening,[],[f52]) ).

fof(f52,plain,
    ! [X0] :
      ( ( ( ~ cC2(X0)
          & ~ cC4(X0) )
        | ~ cC6(X0) )
      & ( cC6(X0)
        | cC2(X0)
        | cC4(X0) ) ),
    inference(nnf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( ( ~ cC2(X0)
        & ~ cC4(X0) )
    <=> cC6(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).

fof(f129,plain,
    ( ~ cC6(iV16561)
    | spl6_4 ),
    inference(avatar_component_clause,[],[f127]) ).

fof(f80,plain,
    ~ cC2(iV16561),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,axiom,
    ~ cC2(iV16561),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).

fof(f169,plain,
    spl6_3,
    inference(avatar_contradiction_clause,[],[f168]) ).

fof(f168,plain,
    ( $false
    | spl6_3 ),
    inference(subsumption_resolution,[],[f167,f106]) ).

fof(f106,plain,
    ~ cC10(iV16562),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,axiom,
    ~ cC10(iV16562),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).

fof(f167,plain,
    ( cC10(iV16562)
    | spl6_3 ),
    inference(subsumption_resolution,[],[f161,f84]) ).

fof(f84,plain,
    ~ cC2(iV16562),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,axiom,
    ~ cC2(iV16562),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).

fof(f161,plain,
    ( cC2(iV16562)
    | cC10(iV16562)
    | spl6_3 ),
    inference(resolution,[],[f125,f67]) ).

fof(f67,plain,
    ! [X0] :
      ( cC2(X0)
      | cC10(X0)
      | cC12(X0) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0] :
      ( ( cC12(X0)
        | cC10(X0)
        | cC2(X0) )
      & ( ( ~ cC10(X0)
          & ~ cC2(X0) )
        | ~ cC12(X0) ) ),
    inference(flattening,[],[f35]) ).

fof(f35,plain,
    ! [X0] :
      ( ( cC12(X0)
        | cC10(X0)
        | cC2(X0) )
      & ( ( ~ cC10(X0)
          & ~ cC2(X0) )
        | ~ cC12(X0) ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( cC12(X0)
    <=> ( ~ cC10(X0)
        & ~ cC2(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

fof(f125,plain,
    ( ~ cC12(iV16562)
    | spl6_3 ),
    inference(avatar_component_clause,[],[f123]) ).

fof(f123,plain,
    ( spl6_3
  <=> cC12(iV16562) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).

fof(f157,plain,
    ( ~ spl6_3
    | spl6_1 ),
    inference(avatar_split_clause,[],[f153,f115,f123]) ).

fof(f115,plain,
    ( spl6_1
  <=> cC14(iV16560) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).

fof(f153,plain,
    ( ~ cC12(iV16562)
    | spl6_1 ),
    inference(unit_resulting_resolution,[],[f101,f117,f72]) ).

fof(f72,plain,
    ! [X2,X0] :
      ( ~ cC12(X2)
      | cC14(X0)
      | ~ rR1(X0,X2) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0] :
      ( ( ( rR1(X0,sK0(X0))
          & cC12(sK0(X0)) )
        | ~ cC14(X0) )
      & ( cC14(X0)
        | ! [X2] :
            ( ~ rR1(X0,X2)
            | ~ cC12(X2) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f40,f41]) ).

fof(f41,plain,
    ! [X0] :
      ( ? [X1] :
          ( rR1(X0,X1)
          & cC12(X1) )
     => ( rR1(X0,sK0(X0))
        & cC12(sK0(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f40,plain,
    ! [X0] :
      ( ( ? [X1] :
            ( rR1(X0,X1)
            & cC12(X1) )
        | ~ cC14(X0) )
      & ( cC14(X0)
        | ! [X2] :
            ( ~ rR1(X0,X2)
            | ~ cC12(X2) ) ) ),
    inference(rectify,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ( ? [X1] :
            ( rR1(X0,X1)
            & cC12(X1) )
        | ~ cC14(X0) )
      & ( cC14(X0)
        | ! [X1] :
            ( ~ rR1(X0,X1)
            | ~ cC12(X1) ) ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ? [X1] :
          ( rR1(X0,X1)
          & cC12(X1) )
    <=> cC14(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

fof(f117,plain,
    ( ~ cC14(iV16560)
    | spl6_1 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f101,plain,
    rR1(iV16560,iV16562),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,axiom,
    rR1(iV16560,iV16562),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).

fof(f151,plain,
    ( ~ spl6_7
    | ~ spl6_4
    | ~ spl6_1
    | ~ spl6_3
    | ~ spl6_6 ),
    inference(avatar_split_clause,[],[f146,f135,f123,f115,f127,f148]) ).

fof(f146,plain,
    ( ~ cC18(iV16560)
    | ~ cC12(iV16562)
    | ~ cC14(iV16560)
    | ~ cC6(iV16561)
    | ~ xsd_integer(sK2) ),
    inference(subsumption_resolution,[],[f145,f93]) ).

fof(f93,plain,
    ! [X0] :
      ( ~ xsd_string(X0)
      | ~ xsd_integer(X0) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f145,plain,
    ( ~ cC18(iV16560)
    | xsd_string(sK2)
    | ~ xsd_integer(sK2)
    | ~ cC14(iV16560)
    | ~ cC12(iV16562)
    | ~ cC6(iV16561) ),
    inference(subsumption_resolution,[],[f144,f70]) ).

fof(f70,plain,
    ! [X0] :
      ( ~ cC18(X0)
      | cC16(X0) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0] :
      ( ( ( cC16(X0)
          & cTOP(X0) )
        | ~ cC18(X0) )
      & ( cC18(X0)
        | ~ cC16(X0)
        | ~ cTOP(X0) ) ),
    inference(flattening,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( ( ( cC16(X0)
          & cTOP(X0) )
        | ~ cC18(X0) )
      & ( cC18(X0)
        | ~ cC16(X0)
        | ~ cTOP(X0) ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( ( cC16(X0)
        & cTOP(X0) )
    <=> cC18(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

fof(f144,plain,
    ( ~ cC12(iV16562)
    | ~ cC14(iV16560)
    | xsd_string(sK2)
    | ~ cC6(iV16561)
    | ~ cC16(iV16560)
    | ~ cC18(iV16560)
    | ~ xsd_integer(sK2) ),
    inference(subsumption_resolution,[],[f143,f63]) ).

fof(f63,plain,
    ! [X0] :
      ( cC8(X0)
      | ~ cC16(X0) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0] :
      ( ( cC16(X0)
        | ~ cC8(X0)
        | ~ cC14(X0) )
      & ( ( cC8(X0)
          & cC14(X0) )
        | ~ cC16(X0) ) ),
    inference(flattening,[],[f33]) ).

fof(f33,plain,
    ! [X0] :
      ( ( cC16(X0)
        | ~ cC8(X0)
        | ~ cC14(X0) )
      & ( ( cC8(X0)
          & cC14(X0) )
        | ~ cC16(X0) ) ),
    inference(nnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( cC16(X0)
    <=> ( cC8(X0)
        & cC14(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(f143,plain,
    ( xsd_string(sK2)
    | ~ xsd_integer(sK2)
    | ~ cC18(iV16560)
    | ~ cC6(iV16561)
    | ~ cC8(iV16560)
    | ~ cC12(iV16562)
    | ~ cC16(iV16560)
    | ~ cC14(iV16560) ),
    inference(subsumption_resolution,[],[f142,f102]) ).

fof(f102,plain,
    cowlThing(iV16560),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,axiom,
    cowlThing(iV16560),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).

fof(f142,plain,
    ( xsd_string(sK2)
    | ~ cC12(iV16562)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ xsd_integer(sK2)
    | ~ cC18(iV16560)
    | ~ cC16(iV16560)
    | ~ cC6(iV16561)
    | ~ cC8(iV16560) ),
    inference(subsumption_resolution,[],[f141,f87]) ).

fof(f87,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f1]) ).

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

fof(f141,plain,
    ( ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cowlThing(sK1)
    | ~ cC18(iV16560)
    | ~ xsd_integer(sK2)
    | xsd_string(sK2)
    | ~ cC16(iV16560)
    | ~ cC12(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560) ),
    inference(subsumption_resolution,[],[f140,f88]) ).

fof(f88,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f140,plain,
    ( cowlNothing(sK1)
    | ~ xsd_integer(sK2)
    | ~ cC12(iV16562)
    | ~ cC18(iV16560)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cC16(iV16560)
    | xsd_string(sK2)
    | ~ cowlThing(sK1) ),
    inference(subsumption_resolution,[],[f139,f75]) ).

fof(f75,plain,
    cowlThing(iV16561),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,axiom,
    cowlThing(iV16561),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).

fof(f139,plain,
    ( ~ xsd_integer(sK2)
    | xsd_string(sK2)
    | ~ cowlThing(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cowlThing(sK1)
    | cowlNothing(sK1)
    | ~ cC18(iV16560)
    | ~ cC16(iV16560)
    | ~ cC6(iV16561)
    | ~ cC8(iV16560)
    | ~ cC12(iV16562)
    | ~ cC14(iV16560) ),
    inference(subsumption_resolution,[],[f81,f71]) ).

fof(f71,plain,
    cowlThing(iV16562),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,axiom,
    cowlThing(iV16562),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).

fof(f81,plain,
    ( ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC14(iV16560)
    | xsd_string(sK2)
    | ~ cowlThing(sK1)
    | ~ cC8(iV16560)
    | ~ xsd_integer(sK2)
    | ~ cowlThing(iV16561)
    | ~ cC16(iV16560)
    | cowlNothing(sK1)
    | ~ cC12(iV16562)
    | ~ cC18(iV16560) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ( ~ cowlThing(iV16560)
    | ~ cC18(iV16560)
    | ~ cC16(iV16560)
    | ~ cC6(iV16561)
    | ~ cC12(iV16562)
    | cowlNothing(sK1)
    | ~ cowlThing(sK1)
    | ~ cC8(iV16560)
    | ~ cowlThing(iV16562)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16561)
    | ( ( ~ xsd_string(sK2)
        | xsd_integer(sK2) )
      & ( xsd_string(sK2)
        | ~ xsd_integer(sK2) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f43,f45,f44]) ).

fof(f44,plain,
    ( ? [X0] :
        ( cowlNothing(X0)
        | ~ cowlThing(X0) )
   => ( cowlNothing(sK1)
      | ~ cowlThing(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f45,plain,
    ( ? [X1] :
        ( ( ~ xsd_string(X1)
          | xsd_integer(X1) )
        & ( xsd_string(X1)
          | ~ xsd_integer(X1) ) )
   => ( ( ~ xsd_string(sK2)
        | xsd_integer(sK2) )
      & ( xsd_string(sK2)
        | ~ xsd_integer(sK2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f43,plain,
    ( ~ cowlThing(iV16560)
    | ~ cC18(iV16560)
    | ~ cC16(iV16560)
    | ~ cC6(iV16561)
    | ~ cC12(iV16562)
    | ? [X0] :
        ( cowlNothing(X0)
        | ~ cowlThing(X0) )
    | ~ cC8(iV16560)
    | ~ cowlThing(iV16562)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16561)
    | ? [X1] :
        ( ( ~ xsd_string(X1)
          | xsd_integer(X1) )
        & ( xsd_string(X1)
          | ~ xsd_integer(X1) ) ) ),
    inference(nnf_transformation,[],[f30]) ).

fof(f30,plain,
    ( ~ cowlThing(iV16560)
    | ~ cC18(iV16560)
    | ~ cC16(iV16560)
    | ~ cC6(iV16561)
    | ~ cC12(iV16562)
    | ? [X0] :
        ( cowlNothing(X0)
        | ~ cowlThing(X0) )
    | ~ cC8(iV16560)
    | ~ cowlThing(iV16562)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16561)
    | ? [X1] :
        ( ~ xsd_integer(X1)
      <~> xsd_string(X1) ) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,plain,
    ~ ( cowlThing(iV16561)
      & cC18(iV16560)
      & cC8(iV16560)
      & ! [X1] :
          ( ~ xsd_integer(X1)
        <=> xsd_string(X1) )
      & cowlThing(iV16562)
      & cowlThing(iV16560)
      & ! [X0] :
          ( cowlThing(X0)
          & ~ cowlNothing(X0) )
      & cC16(iV16560)
      & cC12(iV16562)
      & cC6(iV16561)
      & cC14(iV16560) ),
    inference(rectify,[],[f26]) ).

fof(f26,negated_conjecture,
    ~ ( cC6(iV16561)
      & ! [X0] :
          ( cowlThing(X0)
          & ~ cowlNothing(X0) )
      & cC16(iV16560)
      & cowlThing(iV16561)
      & cowlThing(iV16560)
      & cC14(iV16560)
      & cC18(iV16560)
      & cowlThing(iV16562)
      & cC8(iV16560)
      & ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & cC12(iV16562) ),
    inference(negated_conjecture,[],[f25]) ).

fof(f25,conjecture,
    ( cC6(iV16561)
    & ! [X0] :
        ( cowlThing(X0)
        & ~ cowlNothing(X0) )
    & cC16(iV16560)
    & cowlThing(iV16561)
    & cowlThing(iV16560)
    & cC14(iV16560)
    & cC18(iV16560)
    & cowlThing(iV16562)
    & cC8(iV16560)
    & ! [X0] :
        ( xsd_string(X0)
      <=> ~ xsd_integer(X0) )
    & cC12(iV16562) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

fof(f138,plain,
    ( ~ spl6_1
    | ~ spl6_2
    | ~ spl6_3
    | ~ spl6_4
    | ~ spl6_5
    | ~ spl6_6 ),
    inference(avatar_split_clause,[],[f113,f135,f131,f127,f123,f119,f115]) ).

fof(f113,plain,
    ( ~ cC18(iV16560)
    | ~ xsd_string(sK2)
    | ~ cC6(iV16561)
    | ~ cC12(iV16562)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560) ),
    inference(subsumption_resolution,[],[f112,f93]) ).

fof(f112,plain,
    ( ~ cC6(iV16561)
    | ~ cC12(iV16562)
    | ~ cC18(iV16560)
    | xsd_integer(sK2)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ xsd_string(sK2) ),
    inference(subsumption_resolution,[],[f111,f70]) ).

fof(f111,plain,
    ( ~ cC16(iV16560)
    | ~ xsd_string(sK2)
    | ~ cC12(iV16562)
    | xsd_integer(sK2)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cC6(iV16561)
    | ~ cC18(iV16560) ),
    inference(subsumption_resolution,[],[f110,f102]) ).

fof(f110,plain,
    ( ~ cC6(iV16561)
    | ~ cC18(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC8(iV16560)
    | ~ cC16(iV16560)
    | ~ xsd_string(sK2)
    | ~ cC14(iV16560)
    | ~ cC12(iV16562)
    | xsd_integer(sK2) ),
    inference(subsumption_resolution,[],[f109,f71]) ).

fof(f109,plain,
    ( ~ cC18(iV16560)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cC12(iV16562)
    | xsd_integer(sK2)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ xsd_string(sK2)
    | ~ cC16(iV16560)
    | ~ cowlThing(iV16560) ),
    inference(subsumption_resolution,[],[f108,f87]) ).

fof(f108,plain,
    ( ~ cC6(iV16561)
    | ~ cowlThing(sK1)
    | ~ cC12(iV16562)
    | ~ cC16(iV16560)
    | ~ cC14(iV16560)
    | ~ cC18(iV16560)
    | ~ xsd_string(sK2)
    | ~ cC8(iV16560)
    | xsd_integer(sK2)
    | ~ cowlThing(iV16560)
    | ~ cowlThing(iV16562) ),
    inference(subsumption_resolution,[],[f107,f75]) ).

fof(f107,plain,
    ( ~ cC16(iV16560)
    | ~ cC14(iV16560)
    | ~ cC12(iV16562)
    | xsd_integer(sK2)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC18(iV16560)
    | ~ cC8(iV16560)
    | ~ cowlThing(sK1)
    | ~ xsd_string(sK2)
    | ~ cowlThing(iV16562) ),
    inference(subsumption_resolution,[],[f82,f88]) ).

fof(f82,plain,
    ( cowlNothing(sK1)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ xsd_string(sK2)
    | ~ cowlThing(iV16562)
    | ~ cC16(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cowlThing(sK1)
    | ~ cC12(iV16562)
    | xsd_integer(sK2)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC18(iV16560) ),
    inference(cnf_transformation,[],[f46]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : KRS150+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
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 00:37:45 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.55  % (18012)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.56  % (18027)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.56  % (18011)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)
% 0.20/0.56  % (18028)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56  % (18011)First to succeed.
% 0.20/0.56  % (18019)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)
% 0.20/0.57  % (18011)Refutation found. Thanks to Tanya!
% 0.20/0.57  % SZS status Theorem for theBenchmark
% 0.20/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57  % (18011)------------------------------
% 0.20/0.57  % (18011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (18011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (18011)Termination reason: Refutation
% 0.20/0.57  
% 0.20/0.57  % (18011)Memory used [KB]: 6012
% 0.20/0.57  % (18011)Time elapsed: 0.124 s
% 0.20/0.57  % (18011)Instructions burned: 3 (million)
% 0.20/0.57  % (18011)------------------------------
% 0.20/0.57  % (18011)------------------------------
% 0.20/0.57  % (18003)Success in time 0.208 s
%------------------------------------------------------------------------------