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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : KRS150+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 : n020.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 11:42:23 AM UTC 2026

% Result   : Theorem 0.16s 0.47s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   97 (  25 unt;   2 def)
%            Number of atoms       :  422 (   0 equ)
%            Maximal formula atoms :   15 (   4 avg)
%            Number of connectives :  610 ( 285   ~; 252   |;  60   &)
%                                         (  11 <=>;   1  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   18 (  17 usr;   3 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   38 (   0 sgn  34   !;   4   ?)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f29,plain,
    ! [X0] :
      ( ( cC18(X0)
        & cTOP(X0) )
      | ~ cTEST(X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f32,plain,
    ( ? [X0] :
        ( ~ cowlThing(X0)
        | cowlNothing(X0) )
    | ? [X1] :
        ( xsd_string(X1)
      <~> ~ xsd_integer(X1) )
    | ~ cC18(iV16560)
    | ~ cC16(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16562)
    | ~ cC12(iV16562) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f33,plain,
    ! [X0] :
      ( ( xsd_string(X0)
        | xsd_integer(X0) )
      & ( ~ xsd_integer(X0)
        | ~ xsd_string(X0) ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f37,plain,
    ! [X0] :
      ( ( cC12(X0)
        | cC2(X0)
        | cC10(X0) )
      & ( ( ~ cC2(X0)
          & ~ cC10(X0) )
        | ~ cC12(X0) ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f38,plain,
    ! [X0] :
      ( ( cC12(X0)
        | cC2(X0)
        | cC10(X0) )
      & ( ( ~ cC2(X0)
          & ~ cC10(X0) )
        | ~ cC12(X0) ) ),
    inference(flattening,[],[f37]) ).

fof(f42,plain,
    ! [X0] :
      ( ( cC16(X0)
        | ~ cC14(X0)
        | ~ cC8(X0) )
      & ( ( cC14(X0)
          & cC8(X0) )
        | ~ cC16(X0) ) ),
    inference(nnf_transformation,[],[f6]) ).

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

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

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

fof(f49,plain,
    ! [X0] :
      ( ( cC6(X0)
        | cC2(X0)
        | cC4(X0) )
      & ( ( ~ cC2(X0)
          & ~ cC4(X0) )
        | ~ cC6(X0) ) ),
    inference(nnf_transformation,[],[f9]) ).

fof(f50,plain,
    ! [X0] :
      ( ( cC6(X0)
        | cC2(X0)
        | cC4(X0) )
      & ( ( ~ cC2(X0)
          & ~ cC4(X0) )
        | ~ cC6(X0) ) ),
    inference(flattening,[],[f49]) ).

fof(f54,plain,
    ( ? [X0] :
        ( ~ cowlThing(X0)
        | cowlNothing(X0) )
    | ? [X1] :
        ( ( xsd_integer(X1)
          | ~ xsd_string(X1) )
        & ( ~ xsd_integer(X1)
          | xsd_string(X1) ) )
    | ~ cC18(iV16560)
    | ~ cC16(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16562)
    | ~ cC12(iV16562) ),
    inference(nnf_transformation,[],[f32]) ).

fof(f55,plain,
    ( ~ cowlThing(sK4)
    | cowlNothing(sK4)
    | ( ( xsd_integer(sK5)
        | ~ xsd_string(sK5) )
      & ( ~ xsd_integer(sK5)
        | xsd_string(sK5) ) )
    | ~ cC18(iV16560)
    | ~ cC16(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16562)
    | ~ cC12(iV16562) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X0,sK4),skolemize(X1,sK5)],[f54]) ).

fof(f56,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f57,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f58,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f59,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f65,plain,
    ! [X0] :
      ( cC10(X0)
      | cC2(X0)
      | cC12(X0) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f69,plain,
    ! [X0] :
      ( ~ cC16(X0)
      | cC8(X0) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f70,plain,
    ! [X0] :
      ( ~ cC16(X0)
      | cC14(X0) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f72,plain,
    ! [X0] :
      ( ~ cC18(X0)
      | cC16(X0) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f80,plain,
    ! [X0] :
      ( cC4(X0)
      | cC2(X0)
      | cC6(X0) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f85,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | cC18(X0) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f87,plain,
    cTEST(iV16560),
    inference(cnf_transformation,[],[f13]) ).

fof(f91,plain,
    ~ cC4(iV16561),
    inference(cnf_transformation,[],[f17]) ).

fof(f94,plain,
    ~ cC2(iV16561),
    inference(cnf_transformation,[],[f20]) ).

fof(f95,plain,
    ~ cC10(iV16562),
    inference(cnf_transformation,[],[f21]) ).

fof(f96,plain,
    ~ cC2(iV16562),
    inference(cnf_transformation,[],[f22]) ).

fof(f99,plain,
    ( ~ cowlThing(sK4)
    | cowlNothing(sK4)
    | ~ xsd_integer(sK5)
    | xsd_string(sK5)
    | ~ cC18(iV16560)
    | ~ cC16(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16562)
    | ~ cC12(iV16562) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f100,plain,
    ( ~ cowlThing(sK4)
    | cowlNothing(sK4)
    | xsd_integer(sK5)
    | ~ xsd_string(sK5)
    | ~ cC18(iV16560)
    | ~ cC16(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16562)
    | ~ cC12(iV16562) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f157,plain,
    cC18(iV16560),
    inference(resolution,[],[f85,f87]) ).

fof(f165,plain,
    cC16(iV16560),
    inference(resolution,[],[f157,f72]) ).

fof(f166,plain,
    cC14(iV16560),
    inference(resolution,[],[f165,f70]) ).

fof(f167,plain,
    cC8(iV16560),
    inference(resolution,[],[f165,f69]) ).

fof(f188,plain,
    ( cowlNothing(sK4)
    | xsd_integer(sK5)
    | ~ xsd_string(sK5)
    | ~ cC18(iV16560)
    | ~ cC16(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16562)
    | ~ cC12(iV16562) ),
    inference(forward_subsumption_resolution,[],[f100,f57]) ).

fof(f190,plain,
    ( xsd_integer(sK5)
    | ~ xsd_string(sK5)
    | ~ cC18(iV16560)
    | ~ cC16(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16562)
    | ~ cC12(iV16562) ),
    inference(forward_subsumption_resolution,[],[f188,f56]) ).

fof(f201,definition,
    ( spl6_18
  <=> cC12(iV16562) ),
    introduced(definition,[new_symbols(definition,[spl6_18])],[avatar_definition]) ).

fof(f202,plain,
    ( cC12(iV16562)
    | ~ spl6_18 ),
    inference(avatar_component_clause,[],[f201]) ).

fof(f203,plain,
    ( ~ cC12(iV16562)
    | spl6_18 ),
    inference(avatar_component_clause,[],[f201]) ).

fof(f205,definition,
    ( spl6_19
  <=> cC6(iV16561) ),
    introduced(definition,[new_symbols(definition,[spl6_19])],[avatar_definition]) ).

fof(f206,plain,
    ( cC6(iV16561)
    | ~ spl6_19 ),
    inference(avatar_component_clause,[],[f205]) ).

fof(f207,plain,
    ( ~ cC6(iV16561)
    | spl6_19 ),
    inference(avatar_component_clause,[],[f205]) ).

fof(f337,plain,
    ( cC2(iV16561)
    | cC6(iV16561) ),
    inference(resolution,[],[f80,f91]) ).

fof(f341,plain,
    cC6(iV16561),
    inference(forward_subsumption_resolution,[],[f337,f94]) ).

fof(f342,plain,
    ( $false
    | spl6_19 ),
    inference(forward_subsumption_resolution,[],[f341,f207]) ).

fof(f343,plain,
    spl6_19,
    inference(avatar_contradiction_clause,[],[f342]) ).

fof(f349,plain,
    ( ~ cowlThing(sK4)
    | cowlNothing(sK4)
    | ~ xsd_integer(sK5)
    | ~ cC18(iV16560)
    | ~ cC16(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16562)
    | ~ cC12(iV16562) ),
    inference(forward_subsumption_resolution,[],[f99,f58]) ).

fof(f350,plain,
    ( ~ xsd_string(sK5)
    | ~ cC18(iV16560)
    | ~ cC16(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16562)
    | ~ cC12(iV16562) ),
    inference(forward_subsumption_resolution,[],[f190,f58]) ).

fof(f351,plain,
    ( cowlNothing(sK4)
    | ~ xsd_integer(sK5)
    | ~ cC18(iV16560)
    | ~ cC16(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16562)
    | ~ cC12(iV16562) ),
    inference(forward_subsumption_resolution,[],[f349,f57]) ).

fof(f353,plain,
    ( ~ xsd_integer(sK5)
    | ~ cC18(iV16560)
    | ~ cC16(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16562)
    | ~ cC12(iV16562) ),
    inference(forward_subsumption_resolution,[],[f351,f56]) ).

fof(f394,plain,
    ( ~ xsd_string(sK5)
    | ~ cC16(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16562)
    | ~ cC12(iV16562) ),
    inference(forward_subsumption_resolution,[],[f350,f157]) ).

fof(f395,plain,
    ( ~ xsd_integer(sK5)
    | ~ cC16(iV16560)
    | ~ cowlThing(iV16560)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16562)
    | ~ cC12(iV16562) ),
    inference(forward_subsumption_resolution,[],[f353,f157]) ).

fof(f396,plain,
    ( ~ xsd_string(sK5)
    | ~ cowlThing(iV16560)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16562)
    | ~ cC12(iV16562) ),
    inference(forward_subsumption_resolution,[],[f394,f165]) ).

fof(f397,plain,
    ( ~ xsd_integer(sK5)
    | ~ cowlThing(iV16560)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16562)
    | ~ cC12(iV16562) ),
    inference(forward_subsumption_resolution,[],[f395,f165]) ).

fof(f398,plain,
    ( ~ xsd_string(sK5)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16562)
    | ~ cC12(iV16562) ),
    inference(forward_subsumption_resolution,[],[f396,f57]) ).

fof(f399,plain,
    ( ~ xsd_integer(sK5)
    | ~ cC14(iV16560)
    | ~ cC8(iV16560)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16562)
    | ~ cC12(iV16562) ),
    inference(forward_subsumption_resolution,[],[f397,f57]) ).

fof(f400,plain,
    ( ~ xsd_string(sK5)
    | ~ cC8(iV16560)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16562)
    | ~ cC12(iV16562) ),
    inference(forward_subsumption_resolution,[],[f398,f166]) ).

fof(f401,plain,
    ( ~ xsd_integer(sK5)
    | ~ cC8(iV16560)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16562)
    | ~ cC12(iV16562) ),
    inference(forward_subsumption_resolution,[],[f399,f166]) ).

fof(f402,plain,
    ( ~ xsd_string(sK5)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16562)
    | ~ cC12(iV16562) ),
    inference(forward_subsumption_resolution,[],[f400,f167]) ).

fof(f403,plain,
    ( ~ xsd_integer(sK5)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16562)
    | ~ cC12(iV16562) ),
    inference(forward_subsumption_resolution,[],[f401,f167]) ).

fof(f404,plain,
    ( ~ xsd_string(sK5)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16562)
    | ~ cC12(iV16562) ),
    inference(forward_subsumption_resolution,[],[f402,f57]) ).

fof(f405,plain,
    ( ~ xsd_integer(sK5)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16562)
    | ~ cC12(iV16562) ),
    inference(forward_subsumption_resolution,[],[f403,f57]) ).

fof(f406,plain,
    ( ~ xsd_string(sK5)
    | ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ spl6_19 ),
    inference(forward_subsumption_resolution,[],[f404,f206]) ).

fof(f407,plain,
    ( ~ xsd_integer(sK5)
    | ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ spl6_19 ),
    inference(forward_subsumption_resolution,[],[f405,f206]) ).

fof(f408,plain,
    ( ~ xsd_string(sK5)
    | ~ cC12(iV16562)
    | ~ spl6_19 ),
    inference(forward_subsumption_resolution,[],[f406,f57]) ).

fof(f409,plain,
    ( ~ xsd_integer(sK5)
    | ~ cC12(iV16562)
    | ~ spl6_19 ),
    inference(forward_subsumption_resolution,[],[f407,f57]) ).

fof(f410,plain,
    ( ~ xsd_string(sK5)
    | ~ spl6_18
    | ~ spl6_19 ),
    inference(forward_subsumption_resolution,[],[f408,f202]) ).

fof(f411,plain,
    ( ~ xsd_integer(sK5)
    | ~ spl6_18
    | ~ spl6_19 ),
    inference(forward_subsumption_resolution,[],[f409,f202]) ).

fof(f412,plain,
    ( xsd_string(sK5)
    | ~ spl6_18
    | ~ spl6_19 ),
    inference(resolution,[],[f411,f59]) ).

fof(f413,plain,
    ( $false
    | ~ spl6_18
    | ~ spl6_19 ),
    inference(forward_subsumption_resolution,[],[f412,f410]) ).

fof(f414,plain,
    ( ~ spl6_18
    | ~ spl6_19 ),
    inference(avatar_contradiction_clause,[],[f413]) ).

fof(f464,plain,
    ( cC2(iV16562)
    | cC12(iV16562) ),
    inference(resolution,[],[f65,f95]) ).

fof(f470,plain,
    cC12(iV16562),
    inference(forward_subsumption_resolution,[],[f464,f96]) ).

fof(f471,plain,
    ( $false
    | spl6_18 ),
    inference(forward_subsumption_resolution,[],[f470,f203]) ).

fof(f472,plain,
    spl6_18,
    inference(avatar_contradiction_clause,[],[f471]) ).

cnf(s280,plain,
    spl6_19,
    inference(sat_conversion,[],[f343]) ).

cnf(s322,plain,
    ( ~ spl6_18
    | ~ spl6_19 ),
    inference(sat_conversion,[],[f414]) ).

cnf(s375,plain,
    spl6_18,
    inference(sat_conversion,[],[f472]) ).

cnf(s376,plain,
    ~ spl6_19,
    inference(rat,[],[s322,s375]) ).

cnf(s379,plain,
    $false,
    inference(rat,[],[s280,s376]) ).

fof(f473,plain,
    $false,
    inference(avatar_sat_refutation,[],[s379]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS150+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39  % Computer : n020.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Sun Sep 27 13:30:35 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  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  % (3386416)Will run a generic schedule for satisfiability detection.
% 0.16/0.47  % (3386423)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3508235259:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.47  % (3386422)% WARNING: option uhcvi not known.
% 0.16/0.47  % (3386423) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3386416-3386423"...
% 0.16/0.47  % (3386423)...printing done.
% 0.16/0.47  % (3386423)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  % (3386423)------------------------------
% 0.16/0.47  % (3386423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47  % (3386423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47  % (3386423)CaDiCaL version: 2.1.3
% 0.16/0.47  % (3386423)Termination reason: Refutation
% 0.16/0.47  % (3386423)Time elapsed: 0.004 s
% 0.16/0.47  % (3386423)Peak memory usage: 12 MB
% 0.16/0.47  % (3386423)Instructions burned: 9 (million)
% 0.16/0.47  % (3386416)Success in time 0.039 s
% 0.16/0.47  % Vampire exiting
%------------------------------------------------------------------------------