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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : KRS158+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n016.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 11:42:25 AM UTC 2026

% Result   : Theorem 0.16s 0.47s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  135 (  52 unt;  13 def)
%            Number of atoms       :  364 (   0 equ)
%            Maximal formula atoms :   13 (   2 avg)
%            Number of connectives :  374 ( 145   ~; 164   |;  41   &)
%                                         (  22 <=>;   1  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   15 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   29 (  28 usr;  14 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   37 (   0 sgn  35   !;   2   ?)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f33,plain,
    ~ ( ! [X0] :
          ( cowlThing(X0)
          & ~ cowlNothing(X0) )
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & cC18(iV16560)
      & cC14(iV16560)
      & cC8(iV16560)
      & cC16(iV16560)
      & cowlThing(iV16560)
      & cC6(iV16561)
      & cowlThing(iV16561)
      & cC12(iV16562)
      & cowlThing(iV16562) ),
    inference(rectify,[],[f32]) ).

fof(f34,plain,
    ! [X0] :
      ( cTEST(X0)
     => ( cTOP(X0)
        & cC18(X0) ) ),
    inference(unused_predicate_definition_removal,[],[f17]) ).

fof(f39,plain,
    ! [X0] :
      ( ( cTOP(X0)
        & cC18(X0) )
      | ~ cTEST(X0) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f42,plain,
    ( ? [X0] :
        ( ~ cowlThing(X0)
        | cowlNothing(X0) )
    | ? [X1] :
        ( xsd_string(X1)
      <~> ~ xsd_integer(X1) )
    | ~ cC18(iV16560)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cC16(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16561)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16562) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f43,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f44,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f45,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f46,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f56,plain,
    ! [X0] :
      ( ~ cC2xcomp(X0)
      | ~ cC10xcomp(X0)
      | cC12(X0) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f60,plain,
    ! [X0] :
      ( cC8(X0)
      | ~ cC16(X0) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f61,plain,
    ! [X0] :
      ( cC14(X0)
      | ~ cC16(X0) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f63,plain,
    ! [X0] :
      ( cC16(X0)
      | ~ cC18(X0) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f78,plain,
    ! [X0] :
      ( ~ cC2xcomp(X0)
      | ~ cC4xcomp(X0)
      | cC6(X0) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f82,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | cC18(X0) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f84,plain,
    cowlThing(iV16560),
    inference(cnf_transformation,[],[f18]) ).

fof(f85,plain,
    cTEST(iV16560),
    inference(cnf_transformation,[],[f19]) ).

fof(f89,plain,
    cowlThing(iV16561),
    inference(cnf_transformation,[],[f23]) ).

fof(f91,plain,
    cC4xcomp(iV16561),
    inference(cnf_transformation,[],[f25]) ).

fof(f92,plain,
    cC2xcomp(iV16561),
    inference(cnf_transformation,[],[f26]) ).

fof(f93,plain,
    cowlThing(iV16562),
    inference(cnf_transformation,[],[f27]) ).

fof(f95,plain,
    cC10xcomp(iV16562),
    inference(cnf_transformation,[],[f29]) ).

fof(f96,plain,
    cC2xcomp(iV16562),
    inference(cnf_transformation,[],[f30]) ).

fof(f97,plain,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cC18(iV16560)
    | xsd_integer(sK9)
    | ~ xsd_string(sK9)
    | cowlNothing(sK10)
    | ~ cowlThing(sK10) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f98,plain,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cC18(iV16560)
    | ~ xsd_integer(sK9)
    | xsd_string(sK9)
    | cowlNothing(sK10)
    | ~ cowlThing(sK10) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f99,plain,
    ! [X0] : ~ cowlThing(X0),
    inference(consistent_polarity_flipping,[],[f44]) ).

fof(f100,plain,
    ! [X0] : cowlNothing(X0),
    inference(consistent_polarity_flipping,[],[f43]) ).

fof(f101,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(consistent_polarity_flipping,[],[f46]) ).

fof(f102,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(consistent_polarity_flipping,[],[f45]) ).

fof(f105,plain,
    ! [X0] :
      ( ~ cC10xcomp(X0)
      | cC2xcomp(X0)
      | cC12(X0) ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f111,plain,
    ! [X0] :
      ( cC16(X0)
      | ~ cC14(X0) ),
    inference(consistent_polarity_flipping,[],[f61]) ).

fof(f112,plain,
    ! [X0] :
      ( ~ cC8(X0)
      | cC16(X0) ),
    inference(consistent_polarity_flipping,[],[f60]) ).

fof(f114,plain,
    ! [X0] :
      ( ~ cC18(X0)
      | ~ cC16(X0) ),
    inference(consistent_polarity_flipping,[],[f63]) ).

fof(f124,plain,
    ! [X0] :
      ( ~ cC4xcomp(X0)
      | cC2xcomp(X0)
      | cC6(X0) ),
    inference(consistent_polarity_flipping,[],[f78]) ).

fof(f130,plain,
    ! [X0] :
      ( cTEST(X0)
      | cC18(X0) ),
    inference(consistent_polarity_flipping,[],[f82]) ).

fof(f131,plain,
    ~ cowlThing(iV16560),
    inference(consistent_polarity_flipping,[],[f84]) ).

fof(f132,plain,
    ~ cTEST(iV16560),
    inference(consistent_polarity_flipping,[],[f85]) ).

fof(f133,plain,
    ~ cowlThing(iV16561),
    inference(consistent_polarity_flipping,[],[f89]) ).

fof(f134,plain,
    ~ cC2xcomp(iV16561),
    inference(consistent_polarity_flipping,[],[f92]) ).

fof(f135,plain,
    ~ cowlThing(iV16562),
    inference(consistent_polarity_flipping,[],[f93]) ).

fof(f136,plain,
    ~ cC2xcomp(iV16562),
    inference(consistent_polarity_flipping,[],[f96]) ).

fof(f137,plain,
    ( cowlThing(iV16562)
    | ~ cC12(iV16562)
    | cowlThing(iV16561)
    | ~ cC6(iV16561)
    | cowlThing(iV16560)
    | cC16(iV16560)
    | cC8(iV16560)
    | cC14(iV16560)
    | ~ cC18(iV16560)
    | xsd_integer(sK9)
    | ~ xsd_string(sK9)
    | ~ cowlNothing(sK10)
    | cowlThing(sK10) ),
    inference(consistent_polarity_flipping,[],[f98]) ).

fof(f138,plain,
    ( cowlThing(iV16562)
    | ~ cC12(iV16562)
    | cowlThing(iV16561)
    | ~ cC6(iV16561)
    | cowlThing(iV16560)
    | cC16(iV16560)
    | cC8(iV16560)
    | cC14(iV16560)
    | ~ cC18(iV16560)
    | ~ xsd_integer(sK9)
    | xsd_string(sK9)
    | ~ cowlNothing(sK10)
    | cowlThing(sK10) ),
    inference(consistent_polarity_flipping,[],[f97]) ).

fof(f140,definition,
    ( spl11_1
  <=> cowlThing(sK10) ),
    introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).

fof(f142,plain,
    ( cowlThing(sK10)
    | ~ spl11_1 ),
    inference(avatar_component_clause,[],[f140]) ).

fof(f144,definition,
    ( spl11_2
  <=> cowlNothing(sK10) ),
    introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).

fof(f146,plain,
    ( ~ cowlNothing(sK10)
    | spl11_2 ),
    inference(avatar_component_clause,[],[f144]) ).

fof(f148,definition,
    ( spl11_3
  <=> xsd_string(sK9) ),
    introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition]) ).

fof(f149,plain,
    ( ~ xsd_string(sK9)
    | spl11_3 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f150,plain,
    ( xsd_string(sK9)
    | ~ spl11_3 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f152,definition,
    ( spl11_4
  <=> xsd_integer(sK9) ),
    introduced(definition,[new_symbols(definition,[spl11_4])],[avatar_definition]) ).

fof(f153,plain,
    ( xsd_integer(sK9)
    | ~ spl11_4 ),
    inference(avatar_component_clause,[],[f152]) ).

fof(f154,plain,
    ( ~ xsd_integer(sK9)
    | spl11_4 ),
    inference(avatar_component_clause,[],[f152]) ).

fof(f156,definition,
    ( spl11_5
  <=> cC18(iV16560) ),
    introduced(definition,[new_symbols(definition,[spl11_5])],[avatar_definition]) ).

fof(f157,plain,
    ( cC18(iV16560)
    | ~ spl11_5 ),
    inference(avatar_component_clause,[],[f156]) ).

fof(f160,definition,
    ( spl11_6
  <=> cC14(iV16560) ),
    introduced(definition,[new_symbols(definition,[spl11_6])],[avatar_definition]) ).

fof(f164,definition,
    ( spl11_7
  <=> cC8(iV16560) ),
    introduced(definition,[new_symbols(definition,[spl11_7])],[avatar_definition]) ).

fof(f166,plain,
    ( cC8(iV16560)
    | ~ spl11_7 ),
    inference(avatar_component_clause,[],[f164]) ).

fof(f168,definition,
    ( spl11_8
  <=> cC16(iV16560) ),
    introduced(definition,[new_symbols(definition,[spl11_8])],[avatar_definition]) ).

fof(f169,plain,
    ( ~ cC16(iV16560)
    | spl11_8 ),
    inference(avatar_component_clause,[],[f168]) ).

fof(f172,definition,
    ( spl11_9
  <=> cowlThing(iV16560) ),
    introduced(definition,[new_symbols(definition,[spl11_9])],[avatar_definition]) ).

fof(f176,definition,
    ( spl11_10
  <=> cC6(iV16561) ),
    introduced(definition,[new_symbols(definition,[spl11_10])],[avatar_definition]) ).

fof(f180,definition,
    ( spl11_11
  <=> cowlThing(iV16561) ),
    introduced(definition,[new_symbols(definition,[spl11_11])],[avatar_definition]) ).

fof(f184,definition,
    ( spl11_12
  <=> cC12(iV16562) ),
    introduced(definition,[new_symbols(definition,[spl11_12])],[avatar_definition]) ).

fof(f188,definition,
    ( spl11_13
  <=> cowlThing(iV16562) ),
    introduced(definition,[new_symbols(definition,[spl11_13])],[avatar_definition]) ).

fof(f191,plain,
    ( spl11_1
    | ~ spl11_2
    | spl11_3
    | ~ spl11_4
    | ~ spl11_5
    | spl11_6
    | spl11_7
    | spl11_8
    | spl11_9
    | ~ spl11_10
    | spl11_11
    | ~ spl11_12
    | spl11_13 ),
    inference(avatar_split_clause,[],[f138,f188,f184,f180,f176,f172,f168,f164,f160,f156,f152,f148,f144,f140]) ).

fof(f192,plain,
    ( spl11_1
    | ~ spl11_2
    | ~ spl11_3
    | spl11_4
    | ~ spl11_5
    | spl11_6
    | spl11_7
    | spl11_8
    | spl11_9
    | ~ spl11_10
    | spl11_11
    | ~ spl11_12
    | spl11_13 ),
    inference(avatar_split_clause,[],[f137,f188,f184,f180,f176,f172,f168,f164,f160,f156,f152,f148,f144,f140]) ).

fof(f193,plain,
    ~ spl11_13,
    inference(avatar_split_clause,[],[f135,f188]) ).

fof(f194,plain,
    ~ spl11_11,
    inference(avatar_split_clause,[],[f133,f180]) ).

fof(f195,plain,
    ~ spl11_9,
    inference(avatar_split_clause,[],[f131,f172]) ).

fof(f196,plain,
    ( $false
    | spl11_2 ),
    inference(backward_subsumption_resolution,[],[f146,f100]) ).

fof(f197,plain,
    spl11_2,
    inference(avatar_contradiction_clause,[],[f196]) ).

fof(f200,plain,
    cC18(iV16560),
    inference(resolution,[],[f130,f132]) ).

fof(f201,plain,
    spl11_5,
    inference(avatar_split_clause,[],[f200,f156]) ).

fof(f202,plain,
    ( ~ cC16(iV16560)
    | ~ spl11_5 ),
    inference(resolution,[],[f157,f114]) ).

fof(f204,plain,
    ( ~ spl11_8
    | ~ spl11_5 ),
    inference(avatar_split_clause,[],[f202,f156,f168]) ).

fof(f205,plain,
    ( ~ cC14(iV16560)
    | spl11_8 ),
    inference(resolution,[],[f169,f111]) ).

fof(f206,plain,
    ( ~ spl11_6
    | spl11_8 ),
    inference(avatar_split_clause,[],[f205,f168,f160]) ).

fof(f213,plain,
    ( cC2xcomp(iV16562)
    | cC12(iV16562) ),
    inference(resolution,[],[f105,f95]) ).

fof(f215,plain,
    cC12(iV16562),
    inference(forward_subsumption_resolution,[],[f213,f136]) ).

fof(f216,plain,
    spl11_12,
    inference(avatar_split_clause,[],[f215,f184]) ).

fof(f266,plain,
    ( cC2xcomp(iV16561)
    | cC6(iV16561) ),
    inference(resolution,[],[f124,f91]) ).

fof(f267,plain,
    cC6(iV16561),
    inference(forward_subsumption_resolution,[],[f266,f134]) ).

fof(f270,plain,
    spl11_10,
    inference(avatar_split_clause,[],[f267,f176]) ).

fof(f271,plain,
    ( xsd_string(sK9)
    | spl11_4 ),
    inference(resolution,[],[f154,f101]) ).

fof(f272,plain,
    ( $false
    | spl11_3
    | spl11_4 ),
    inference(forward_subsumption_resolution,[],[f271,f149]) ).

fof(f273,plain,
    ( spl11_3
    | spl11_4 ),
    inference(avatar_contradiction_clause,[],[f272]) ).

fof(f274,plain,
    ( ~ xsd_string(sK9)
    | ~ spl11_4 ),
    inference(resolution,[],[f153,f102]) ).

fof(f275,plain,
    ( $false
    | ~ spl11_3
    | ~ spl11_4 ),
    inference(forward_subsumption_resolution,[],[f274,f150]) ).

fof(f276,plain,
    ( ~ spl11_3
    | ~ spl11_4 ),
    inference(avatar_contradiction_clause,[],[f275]) ).

fof(f277,plain,
    ( $false
    | ~ spl11_1 ),
    inference(forward_subsumption_resolution,[],[f142,f99]) ).

fof(f278,plain,
    ~ spl11_1,
    inference(avatar_contradiction_clause,[],[f277]) ).

fof(f280,plain,
    ( cC16(iV16560)
    | ~ spl11_7 ),
    inference(resolution,[],[f166,f112]) ).

fof(f281,plain,
    ( $false
    | ~ spl11_7
    | spl11_8 ),
    inference(forward_subsumption_resolution,[],[f280,f169]) ).

fof(f282,plain,
    ( ~ spl11_7
    | spl11_8 ),
    inference(avatar_contradiction_clause,[],[f281]) ).

cnf(s1,plain,
    ( spl11_1
    | ~ spl11_2
    | spl11_3
    | ~ spl11_4
    | ~ spl11_5
    | spl11_6
    | spl11_7
    | spl11_8
    | spl11_9
    | ~ spl11_10
    | spl11_11
    | ~ spl11_12
    | spl11_13 ),
    inference(sat_conversion,[],[f191]) ).

cnf(s2,plain,
    ( spl11_1
    | ~ spl11_2
    | ~ spl11_3
    | spl11_4
    | ~ spl11_5
    | spl11_6
    | spl11_7
    | spl11_8
    | spl11_9
    | ~ spl11_10
    | spl11_11
    | ~ spl11_12
    | spl11_13 ),
    inference(sat_conversion,[],[f192]) ).

cnf(s3,plain,
    ~ spl11_13,
    inference(sat_conversion,[],[f193]) ).

cnf(s4,plain,
    ~ spl11_11,
    inference(sat_conversion,[],[f194]) ).

cnf(s5,plain,
    ~ spl11_9,
    inference(sat_conversion,[],[f195]) ).

cnf(s6,plain,
    spl11_2,
    inference(sat_conversion,[],[f197]) ).

cnf(s7,plain,
    spl11_5,
    inference(sat_conversion,[],[f201]) ).

cnf(s8,plain,
    ( ~ spl11_5
    | ~ spl11_8 ),
    inference(sat_conversion,[],[f204]) ).

cnf(s9,plain,
    ( ~ spl11_6
    | spl11_8 ),
    inference(sat_conversion,[],[f206]) ).

cnf(s10,plain,
    spl11_12,
    inference(sat_conversion,[],[f216]) ).

cnf(s16,plain,
    spl11_10,
    inference(sat_conversion,[],[f270]) ).

cnf(s17,plain,
    ( spl11_3
    | spl11_4 ),
    inference(sat_conversion,[],[f273]) ).

cnf(s18,plain,
    ( ~ spl11_3
    | ~ spl11_4 ),
    inference(sat_conversion,[],[f276]) ).

cnf(s19,plain,
    ~ spl11_1,
    inference(sat_conversion,[],[f278]) ).

cnf(s20,plain,
    ( ~ spl11_7
    | spl11_8 ),
    inference(sat_conversion,[],[f282]) ).

cnf(s21,plain,
    ~ spl11_8,
    inference(rat,[],[s8,s7]) ).

cnf(s22,plain,
    ~ spl11_7,
    inference(rat,[],[s20,s21]) ).

cnf(s23,plain,
    ~ spl11_6,
    inference(rat,[],[s9,s21]) ).

cnf(s24,plain,
    ( ~ spl11_3
    | spl11_4 ),
    inference(rat,[],[s2,s3,s10,s4,s16,s5,s21,s22,s23,s7,s6,s19]) ).

cnf(s25,plain,
    ( spl11_3
    | ~ spl11_4 ),
    inference(rat,[],[s1,s3,s10,s4,s16,s5,s21,s22,s23,s7,s6,s19]) ).

cnf(s26,plain,
    spl11_3,
    inference(rat,[],[s25,s17]) ).

cnf(s27,plain,
    ~ spl11_4,
    inference(rat,[],[s18,s26]) ).

cnf(s28,plain,
    $false,
    inference(rat,[],[s24,s27,s26]) ).

fof(f283,plain,
    $false,
    inference(avatar_sat_refutation,[],[s28]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : KRS158+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38  % Computer : n016.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sun Sep 27 13:37:02 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42  Running first-order model finding
% 0.11/0.42  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.47  % (2655403)Will run a generic schedule for satisfiability detection.
% 0.16/0.47  % (2655408)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2816739584_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.47  % TRYING [1]
% 0.16/0.47  % TRYING [2]
% 0.16/0.47  % TRYING [3]
% 0.16/0.47  % TRYING [4]
% 0.16/0.47  % (2655409)% WARNING: option uhcvi not known.
% 0.16/0.47  % TRYING [5]
% 0.16/0.47  % TRYING [6]
% 0.16/0.47  % TRYING [7]
% 0.16/0.47  % (2655411)dis+10_1_sil=32000:sp=arity:random_seed=1393648676:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.47  % (2655409)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3027586412:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.47  % (2655410)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=663369619:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.47  % (2655413)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2459413559:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.47  % (2655412)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1465222700:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.47  % (2655414)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3068335427:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.47  % TRYING [8]
% 0.16/0.47  % (2655411) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2655403-2655411"...
% 0.16/0.47  % (2655413) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2655403-2655413"...
% 0.16/0.47  % (2655409) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2655403-2655409"...
% 0.16/0.47  % TRYING [9]
% 0.16/0.47  % (2655412) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2655403-2655412"...
% 0.16/0.47  % (2655414) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2655403-2655414"...
% 0.16/0.47  % (2655413)...printing done.
% 0.16/0.47  % (2655411)...printing done.
% 0.16/0.47  % (2655409)...printing done.
% 0.16/0.47  % (2655412)...printing done.
% 0.16/0.47  % (2655409)Refutation found. Thanks to Tanya!
% 0.16/0.47  % SZS status Theorem for theBenchmark
% 0.16/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47  % (2655409)------------------------------
% 0.16/0.47  % (2655409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47  % (2655409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47  % (2655409)CaDiCaL version: 2.1.3
% 0.16/0.47  % (2655409)Termination reason: Refutation
% 0.16/0.47  % (2655409)Time elapsed: 0.005 s
% 0.16/0.47  % (2655409)Peak memory usage: 12 MB
% 0.16/0.47  % (2655409)Instructions burned: 5 (million)
% 0.16/0.47  % (2655403)Success in time 0.045 s
% 0.16/0.47  % Vampire exiting
%------------------------------------------------------------------------------