TSTP Solution File: KRS150+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : KRS150+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n021.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 : Mon May 20 23:22:18 EDT 2024

% Result   : Theorem 0.15s 0.38s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  133 (  35 unt;   0 def)
%            Number of atoms       :  402 (   0 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  446 ( 177   ~; 177   |;  62   &)
%                                         (  26 <=>;   3  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   33 (  32 usr;  18 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   40 (  34   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f313,plain,
    $false,
    inference(avatar_sat_refutation,[],[f241,f243,f245,f247,f249,f251,f255,f257,f260,f265,f273,f280,f291,f295,f297,f301,f304,f307,f312]) ).

fof(f312,plain,
    ~ spl6_23,
    inference(avatar_contradiction_clause,[],[f310]) ).

fof(f310,plain,
    ( $false
    | ~ spl6_23 ),
    inference(resolution,[],[f279,f64]) ).

fof(f64,plain,
    ~ cC4(iV16561),
    inference(cnf_transformation,[],[f17]) ).

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

fof(f279,plain,
    ( cC4(iV16561)
    | ~ spl6_23 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f277,plain,
    ( spl6_23
  <=> cC4(iV16561) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_23])]) ).

fof(f307,plain,
    ~ spl6_25,
    inference(avatar_contradiction_clause,[],[f305]) ).

fof(f305,plain,
    ( $false
    | ~ spl6_25 ),
    inference(resolution,[],[f290,f65]) ).

fof(f65,plain,
    ~ cC10(iV16562),
    inference(cnf_transformation,[],[f21]) ).

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

fof(f290,plain,
    ( cC10(iV16562)
    | ~ spl6_25 ),
    inference(avatar_component_clause,[],[f288]) ).

fof(f288,plain,
    ( spl6_25
  <=> cC10(iV16562) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_25])]) ).

fof(f304,plain,
    ~ spl6_24,
    inference(avatar_contradiction_clause,[],[f303]) ).

fof(f303,plain,
    ( $false
    | ~ spl6_24 ),
    inference(resolution,[],[f286,f67]) ).

fof(f67,plain,
    ~ cC2(iV16562),
    inference(cnf_transformation,[],[f22]) ).

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

fof(f286,plain,
    ( cC2(iV16562)
    | ~ spl6_24 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f284,plain,
    ( spl6_24
  <=> cC2(iV16562) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_24])]) ).

fof(f301,plain,
    ( ~ spl6_11
    | ~ spl6_12 ),
    inference(avatar_contradiction_clause,[],[f300]) ).

fof(f300,plain,
    ( $false
    | ~ spl6_11
    | ~ spl6_12 ),
    inference(resolution,[],[f298,f200]) ).

fof(f200,plain,
    ( xsd_string(sK0)
    | ~ spl6_11 ),
    inference(avatar_component_clause,[],[f198]) ).

fof(f198,plain,
    ( spl6_11
  <=> xsd_string(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_11])]) ).

fof(f298,plain,
    ( ~ xsd_string(sK0)
    | ~ spl6_12 ),
    inference(resolution,[],[f203,f79]) ).

fof(f79,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,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/sandbox/benchmark/theBenchmark.p',axiom_1) ).

fof(f203,plain,
    ( xsd_integer(sK0)
    | ~ spl6_12 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f202,plain,
    ( spl6_12
  <=> xsd_integer(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_12])]) ).

fof(f297,plain,
    ~ spl6_10,
    inference(avatar_contradiction_clause,[],[f296]) ).

fof(f296,plain,
    ( $false
    | ~ spl6_10 ),
    inference(resolution,[],[f196,f76]) ).

fof(f76,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f1]) ).

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

fof(f196,plain,
    ( cowlNothing(sK1)
    | ~ spl6_10 ),
    inference(avatar_component_clause,[],[f194]) ).

fof(f194,plain,
    ( spl6_10
  <=> cowlNothing(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).

fof(f295,plain,
    spl6_20,
    inference(avatar_contradiction_clause,[],[f292]) ).

fof(f292,plain,
    ( $false
    | spl6_20 ),
    inference(resolution,[],[f236,f71]) ).

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

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

fof(f236,plain,
    ( ~ cowlThing(iV16562)
    | spl6_20 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f234,plain,
    ( spl6_20
  <=> cowlThing(iV16562) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_20])]) ).

fof(f291,plain,
    ( spl6_24
    | spl6_25
    | spl6_21 ),
    inference(avatar_split_clause,[],[f282,f238,f288,f284]) ).

fof(f238,plain,
    ( spl6_21
  <=> cC12(iV16562) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_21])]) ).

fof(f282,plain,
    ( cC10(iV16562)
    | cC2(iV16562)
    | spl6_21 ),
    inference(resolution,[],[f240,f83]) ).

fof(f83,plain,
    ! [X0] :
      ( cC12(X0)
      | cC10(X0)
      | cC2(X0) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ( cC12(X0)
        | cC10(X0)
        | cC2(X0) )
      & ( ( ~ cC10(X0)
          & ~ cC2(X0) )
        | ~ cC12(X0) ) ),
    inference(flattening,[],[f38]) ).

fof(f38,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/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f240,plain,
    ( ~ cC12(iV16562)
    | spl6_21 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f280,plain,
    ( spl6_8
    | spl6_23
    | spl6_19 ),
    inference(avatar_split_clause,[],[f266,f230,f277,f171]) ).

fof(f171,plain,
    ( spl6_8
  <=> cC2(iV16561) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).

fof(f230,plain,
    ( spl6_19
  <=> cC6(iV16561) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_19])]) ).

fof(f266,plain,
    ( cC4(iV16561)
    | cC2(iV16561)
    | spl6_19 ),
    inference(resolution,[],[f232,f86]) ).

fof(f86,plain,
    ! [X0] :
      ( cC6(X0)
      | cC4(X0)
      | cC2(X0) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0] :
      ( ( cC6(X0)
        | cC4(X0)
        | cC2(X0) )
      & ( ( ~ cC4(X0)
          & ~ cC2(X0) )
        | ~ cC6(X0) ) ),
    inference(flattening,[],[f40]) ).

fof(f40,plain,
    ! [X0] :
      ( ( cC6(X0)
        | cC4(X0)
        | cC2(X0) )
      & ( ( ~ cC4(X0)
          & ~ cC2(X0) )
        | ~ cC6(X0) ) ),
    inference(nnf_transformation,[],[f9]) ).

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

fof(f232,plain,
    ( ~ cC6(iV16561)
    | spl6_19 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f273,plain,
    ~ spl6_8,
    inference(avatar_contradiction_clause,[],[f272]) ).

fof(f272,plain,
    ( $false
    | ~ spl6_8 ),
    inference(resolution,[],[f173,f66]) ).

fof(f66,plain,
    ~ cC2(iV16561),
    inference(cnf_transformation,[],[f20]) ).

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

fof(f173,plain,
    ( cC2(iV16561)
    | ~ spl6_8 ),
    inference(avatar_component_clause,[],[f171]) ).

fof(f265,plain,
    spl6_18,
    inference(avatar_contradiction_clause,[],[f262]) ).

fof(f262,plain,
    ( $false
    | spl6_18 ),
    inference(resolution,[],[f228,f70]) ).

fof(f70,plain,
    cowlThing(iV16561),
    inference(cnf_transformation,[],[f18]) ).

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

fof(f228,plain,
    ( ~ cowlThing(iV16561)
    | spl6_18 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f226,plain,
    ( spl6_18
  <=> cowlThing(iV16561) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_18])]) ).

fof(f260,plain,
    spl6_17,
    inference(avatar_contradiction_clause,[],[f259]) ).

fof(f259,plain,
    ( $false
    | spl6_17 ),
    inference(resolution,[],[f258,f110]) ).

fof(f110,plain,
    cC16(iV16560),
    inference(resolution,[],[f108,f91]) ).

fof(f91,plain,
    ! [X0] :
      ( ~ cC18(X0)
      | cC16(X0) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0] :
      ( ( cC18(X0)
        | ~ cC16(X0)
        | ~ cTOP(X0) )
      & ( ( cC16(X0)
          & cTOP(X0) )
        | ~ cC18(X0) ) ),
    inference(flattening,[],[f44]) ).

fof(f44,plain,
    ! [X0] :
      ( ( cC18(X0)
        | ~ cC16(X0)
        | ~ cTOP(X0) )
      & ( ( cC16(X0)
          & cTOP(X0) )
        | ~ cC18(X0) ) ),
    inference(nnf_transformation,[],[f7]) ).

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

fof(f108,plain,
    cC18(iV16560),
    inference(resolution,[],[f105,f68]) ).

fof(f68,plain,
    cTEST(iV16560),
    inference(cnf_transformation,[],[f13]) ).

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

fof(f105,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | cC18(X0) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0] :
      ( ( cTOP(X0)
        & cC18(X0) )
      | ~ cTEST(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/sandbox/benchmark/theBenchmark.p',axiom_10) ).

fof(f258,plain,
    ( ~ cC16(iV16560)
    | spl6_17 ),
    inference(resolution,[],[f224,f88]) ).

fof(f88,plain,
    ! [X0] :
      ( cC8(X0)
      | ~ cC16(X0) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0] :
      ( ( cC16(X0)
        | ~ cC8(X0)
        | ~ cC14(X0) )
      & ( ( cC8(X0)
          & cC14(X0) )
        | ~ cC16(X0) ) ),
    inference(flattening,[],[f42]) ).

fof(f42,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/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(f224,plain,
    ( ~ cC8(iV16560)
    | spl6_17 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f222,plain,
    ( spl6_17
  <=> cC8(iV16560) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_17])]) ).

fof(f257,plain,
    spl6_16,
    inference(avatar_contradiction_clause,[],[f256]) ).

fof(f256,plain,
    ( $false
    | spl6_16 ),
    inference(resolution,[],[f220,f111]) ).

fof(f111,plain,
    cC14(iV16560),
    inference(resolution,[],[f110,f87]) ).

fof(f87,plain,
    ! [X0] :
      ( ~ cC16(X0)
      | cC14(X0) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f220,plain,
    ( ~ cC14(iV16560)
    | spl6_16 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f218,plain,
    ( spl6_16
  <=> cC14(iV16560) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_16])]) ).

fof(f255,plain,
    spl6_15,
    inference(avatar_contradiction_clause,[],[f252]) ).

fof(f252,plain,
    ( $false
    | spl6_15 ),
    inference(resolution,[],[f216,f72]) ).

fof(f72,plain,
    cowlThing(iV16560),
    inference(cnf_transformation,[],[f14]) ).

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

fof(f216,plain,
    ( ~ cowlThing(iV16560)
    | spl6_15 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f214,plain,
    ( spl6_15
  <=> cowlThing(iV16560) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_15])]) ).

fof(f251,plain,
    spl6_14,
    inference(avatar_contradiction_clause,[],[f250]) ).

fof(f250,plain,
    ( $false
    | spl6_14 ),
    inference(resolution,[],[f212,f110]) ).

fof(f212,plain,
    ( ~ cC16(iV16560)
    | spl6_14 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f210,plain,
    ( spl6_14
  <=> cC16(iV16560) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_14])]) ).

fof(f249,plain,
    spl6_13,
    inference(avatar_contradiction_clause,[],[f248]) ).

fof(f248,plain,
    ( $false
    | spl6_13 ),
    inference(resolution,[],[f208,f108]) ).

fof(f208,plain,
    ( ~ cC18(iV16560)
    | spl6_13 ),
    inference(avatar_component_clause,[],[f206]) ).

fof(f206,plain,
    ( spl6_13
  <=> cC18(iV16560) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_13])]) ).

fof(f247,plain,
    ( spl6_11
    | spl6_12 ),
    inference(avatar_contradiction_clause,[],[f246]) ).

fof(f246,plain,
    ( $false
    | spl6_11
    | spl6_12 ),
    inference(resolution,[],[f244,f199]) ).

fof(f199,plain,
    ( ~ xsd_string(sK0)
    | spl6_11 ),
    inference(avatar_component_clause,[],[f198]) ).

fof(f244,plain,
    ( xsd_string(sK0)
    | spl6_12 ),
    inference(resolution,[],[f204,f80]) ).

fof(f80,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f204,plain,
    ( ~ xsd_integer(sK0)
    | spl6_12 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f245,plain,
    ( ~ spl6_9
    | spl6_10
    | ~ spl6_11
    | spl6_12
    | ~ spl6_13
    | ~ spl6_14
    | ~ spl6_15
    | ~ spl6_16
    | ~ spl6_17
    | ~ spl6_18
    | ~ spl6_19
    | ~ spl6_20
    | ~ spl6_21 ),
    inference(avatar_split_clause,[],[f63,f238,f234,f230,f226,f222,f218,f214,f210,f206,f202,f198,f194,f190]) ).

fof(f190,plain,
    ( spl6_9
  <=> cowlThing(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).

fof(f63,plain,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC18(iV16560)
    | xsd_integer(sK0)
    | ~ xsd_string(sK0)
    | cowlNothing(sK1)
    | ~ cowlThing(sK1) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC18(iV16560)
    | ( ( xsd_integer(sK0)
        | ~ xsd_string(sK0) )
      & ( ~ xsd_integer(sK0)
        | xsd_string(sK0) ) )
    | cowlNothing(sK1)
    | ~ cowlThing(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f33,f35,f34]) ).

fof(f34,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(f35,plain,
    ( ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) )
   => ( cowlNothing(sK1)
      | ~ cowlThing(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f33,plain,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC18(iV16560)
    | ? [X0] :
        ( ( xsd_integer(X0)
          | ~ xsd_string(X0) )
        & ( ~ xsd_integer(X0)
          | xsd_string(X0) ) )
    | ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) ) ),
    inference(nnf_transformation,[],[f29]) ).

fof(f29,plain,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC18(iV16560)
    | ? [X0] :
        ( xsd_string(X0)
      <~> ~ xsd_integer(X0) )
    | ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) ) ),
    inference(ennf_transformation,[],[f27]) ).

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

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

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

fof(f243,plain,
    spl6_9,
    inference(avatar_contradiction_clause,[],[f242]) ).

fof(f242,plain,
    ( $false
    | spl6_9 ),
    inference(resolution,[],[f192,f75]) ).

fof(f75,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f192,plain,
    ( ~ cowlThing(sK1)
    | spl6_9 ),
    inference(avatar_component_clause,[],[f190]) ).

fof(f241,plain,
    ( ~ spl6_9
    | spl6_10
    | spl6_11
    | ~ spl6_12
    | ~ spl6_13
    | ~ spl6_14
    | ~ spl6_15
    | ~ spl6_16
    | ~ spl6_17
    | ~ spl6_18
    | ~ spl6_19
    | ~ spl6_20
    | ~ spl6_21 ),
    inference(avatar_split_clause,[],[f62,f238,f234,f230,f226,f222,f218,f214,f210,f206,f202,f198,f194,f190]) ).

fof(f62,plain,
    ( ~ cC12(iV16562)
    | ~ cowlThing(iV16562)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC18(iV16560)
    | ~ xsd_integer(sK0)
    | xsd_string(sK0)
    | cowlNothing(sK1)
    | ~ cowlThing(sK1) ),
    inference(cnf_transformation,[],[f36]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem    : KRS150+1 : TPTP v8.2.0. Released v3.1.0.
% 0.06/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n021.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sat May 18 22:25:22 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.36  % (16930)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (16932)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37  % (16931)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37  % (16933)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.37  % (16937)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37  TRYING [1]
% 0.15/0.37  TRYING [2]
% 0.15/0.37  Detected minimum model sizes of [1,1]
% 0.15/0.37  Detected maximum model sizes of [max,1]
% 0.15/0.37  TRYING [1]
% 0.15/0.37  TRYING [1,1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [2,1]
% 0.15/0.38  TRYING [3]
% 0.15/0.38  TRYING [3]
% 0.15/0.38  TRYING [3,1]
% 0.15/0.38  % (16933)First to succeed.
% 0.15/0.38  TRYING [4]
% 0.15/0.38  TRYING [4,1]
% 0.15/0.38  TRYING [4]
% 0.15/0.38  % (16933)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16930"
% 0.15/0.38  % (16931)Also succeeded, but the first one will report.
% 0.15/0.38  % (16933)Refutation found. Thanks to Tanya!
% 0.15/0.38  % SZS status Theorem for theBenchmark
% 0.15/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38  % (16933)------------------------------
% 0.15/0.38  % (16933)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38  % (16933)Termination reason: Refutation
% 0.15/0.38  
% 0.15/0.38  % (16933)Memory used [KB]: 887
% 0.15/0.38  % (16933)Time elapsed: 0.007 s
% 0.15/0.38  % (16933)Instructions burned: 8 (million)
% 0.15/0.38  % (16930)Success in time 0.011 s
%------------------------------------------------------------------------------