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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : KRS143+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n008.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 11:41:45 AM UTC 2026

% Result   : Theorem 2.85s 1.29s
% Output   : Refutation 3.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   15
% Syntax   : Number of formulae    :  105 (  15 unt;  10 def)
%            Number of atoms       :  381 (  14 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  443 ( 167   ~; 219   |;  32   &)
%                                         (  14 <=>;   9  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   18 (  16 usr;  10 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   78 (   0 sgn  58   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ! [X0] :
      ( cowlThing(X0)
      & ~ cowlNothing(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

fof(f9,axiom,
    ! [X0] :
      ( xsd_string(X0)
    <=> ~ xsd_integer(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(f10,axiom,
    ! [X0] :
      ( cc(X0)
     => ? [X1] : rp(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f11,axiom,
    ! [X0] :
      ( cc(X0)
     => ! [X1,X2] :
          ( ( rp(X0,X1)
            & rp(X0,X2) )
         => X1 = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

fof(f12,conjecture,
    ( ! [X0] :
        ( cowlThing(X0)
        & ~ cowlNothing(X0) )
    & ! [X0] :
        ( xsd_string(X0)
      <=> ~ xsd_integer(X0) )
    & ! [X0] :
        ( cc(X0)
       => ( ? [X1] : rp(X0,X1)
          & ! [X1,X2] :
              ( ( rp(X0,X1)
                & rp(X0,X2) )
             => X1 = X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

fof(f13,negated_conjecture,
    ~ ( ! [X0] :
          ( cowlThing(X0)
          & ~ cowlNothing(X0) )
      & ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & ! [X0] :
          ( cc(X0)
         => ( ? [X1] : rp(X0,X1)
            & ! [X1,X2] :
                ( ( rp(X0,X1)
                  & rp(X0,X2) )
               => X1 = X2 ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f12]) ).

fof(f14,plain,
    ~ ( ! [X0] :
          ( cowlThing(X0)
          & ~ cowlNothing(X0) )
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & ! [X2] :
          ( cc(X2)
         => ( ? [X3] : rp(X2,X3)
            & ! [X4,X5] :
                ( ( rp(X2,X4)
                  & rp(X2,X5) )
               => X4 = X5 ) ) ) ),
    inference(rectify,[],[f13]) ).

fof(f29,plain,
    ! [X0] :
      ( ? [X1] : rp(X0,X1)
      | ~ cc(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f30,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X1 = X2
          | ~ rp(X0,X1)
          | ~ rp(X0,X2) )
      | ~ cc(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f31,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X1 = X2
          | ~ rp(X0,X1)
          | ~ rp(X0,X2) )
      | ~ cc(X0) ),
    inference(flattening,[],[f30]) ).

fof(f32,plain,
    ( ? [X0] :
        ( ~ cowlThing(X0)
        | cowlNothing(X0) )
    | ? [X1] :
        ( xsd_string(X1)
      <~> ~ xsd_integer(X1) )
    | ? [X2] :
        ( ( ! [X3] : ~ rp(X2,X3)
          | ? [X4,X5] :
              ( X4 != X5
              & rp(X2,X4)
              & rp(X2,X5) ) )
        & cc(X2) ) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f33,plain,
    ( ? [X0] :
        ( ~ cowlThing(X0)
        | cowlNothing(X0) )
    | ? [X1] :
        ( xsd_string(X1)
      <~> ~ xsd_integer(X1) )
    | ? [X2] :
        ( ( ! [X3] : ~ rp(X2,X3)
          | ? [X4,X5] :
              ( X4 != X5
              & rp(X2,X4)
              & rp(X2,X5) ) )
        & cc(X2) ) ),
    inference(flattening,[],[f32]) ).

fof(f34,plain,
    ! [X0] :
      ( ( xsd_string(X0)
        | xsd_integer(X0) )
      & ( ~ xsd_integer(X0)
        | ~ xsd_string(X0) ) ),
    inference(nnf_transformation,[],[f9]) ).

fof(f35,plain,
    ! [X0] :
      ( rp(X0,sK0(X0))
      | ~ cc(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f29]) ).

fof(f36,plain,
    ( ? [X0] :
        ( ~ cowlThing(X0)
        | cowlNothing(X0) )
    | ? [X1] :
        ( ( xsd_integer(X1)
          | ~ xsd_string(X1) )
        & ( ~ xsd_integer(X1)
          | xsd_string(X1) ) )
    | ? [X2] :
        ( ( ! [X3] : ~ rp(X2,X3)
          | ? [X4,X5] :
              ( X4 != X5
              & rp(X2,X4)
              & rp(X2,X5) ) )
        & cc(X2) ) ),
    inference(nnf_transformation,[],[f33]) ).

fof(f37,plain,
    ( ~ cowlThing(sK1)
    | cowlNothing(sK1)
    | ( ( xsd_integer(sK2)
        | ~ xsd_string(sK2) )
      & ( ~ xsd_integer(sK2)
        | xsd_string(sK2) ) )
    | ( ( ! [X3] : ~ rp(sK3,X3)
        | ( sK4 != sK5
          & rp(sK3,sK4)
          & rp(sK3,sK5) ) )
      & cc(sK3) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f36]) ).

fof(f45,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f8]) ).

fof(f46,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f8]) ).

fof(f47,plain,
    ! [X0] :
      ( ~ xsd_string(X0)
      | ~ xsd_integer(X0) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f48,plain,
    ! [X0] :
      ( xsd_string(X0)
      | xsd_integer(X0) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f49,plain,
    ! [X0] :
      ( ~ cc(X0)
      | rp(X0,sK0(X0)) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f50,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | ~ rp(X0,X1)
      | ~ rp(X0,X2)
      | ~ cc(X0) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f51,plain,
    ( ~ cowlThing(sK1)
    | cowlNothing(sK1)
    | ~ xsd_integer(sK2)
    | xsd_string(sK2)
    | cc(sK3) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f52,plain,
    ! [X3] :
      ( ~ cowlThing(sK1)
      | cowlNothing(sK1)
      | ~ xsd_integer(sK2)
      | xsd_string(sK2)
      | ~ rp(sK3,X3)
      | rp(sK3,sK5) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f53,plain,
    ! [X3] :
      ( ~ cowlThing(sK1)
      | cowlNothing(sK1)
      | ~ xsd_integer(sK2)
      | xsd_string(sK2)
      | ~ rp(sK3,X3)
      | rp(sK3,sK4) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f54,plain,
    ! [X3] :
      ( ~ cowlThing(sK1)
      | cowlNothing(sK1)
      | ~ xsd_integer(sK2)
      | xsd_string(sK2)
      | ~ rp(sK3,X3)
      | sK4 != sK5 ),
    inference(cnf_transformation,[],[f37]) ).

fof(f55,plain,
    ( ~ cowlThing(sK1)
    | cowlNothing(sK1)
    | xsd_integer(sK2)
    | ~ xsd_string(sK2)
    | cc(sK3) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f56,plain,
    ! [X3] :
      ( ~ cowlThing(sK1)
      | cowlNothing(sK1)
      | xsd_integer(sK2)
      | ~ xsd_string(sK2)
      | ~ rp(sK3,X3)
      | rp(sK3,sK5) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f57,plain,
    ! [X3] :
      ( ~ cowlThing(sK1)
      | cowlNothing(sK1)
      | xsd_integer(sK2)
      | ~ xsd_string(sK2)
      | ~ rp(sK3,X3)
      | rp(sK3,sK4) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f58,plain,
    ! [X3] :
      ( ~ cowlThing(sK1)
      | cowlNothing(sK1)
      | xsd_integer(sK2)
      | ~ xsd_string(sK2)
      | ~ rp(sK3,X3)
      | sK4 != sK5 ),
    inference(cnf_transformation,[],[f37]) ).

fof(f66,definition,
    ! [X0,X1] :
      ( sQ6_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(definition,[new_symbols(definition,[sQ6_eqProxy])],[equality_proxy_definition]) ).

fof(f67,plain,
    ! [X2,X0,X1] :
      ( sQ6_eqProxy(X1,X2)
      | ~ rp(X0,X1)
      | ~ rp(X0,X2)
      | ~ cc(X0) ),
    inference(equality_proxy_replacement,[],[f50,f66]) ).

fof(f68,plain,
    ! [X3] :
      ( ~ cowlThing(sK1)
      | cowlNothing(sK1)
      | xsd_integer(sK2)
      | ~ xsd_string(sK2)
      | ~ rp(sK3,X3)
      | ~ sQ6_eqProxy(sK4,sK5) ),
    inference(equality_proxy_replacement,[],[f58,f66]) ).

fof(f69,plain,
    ! [X3] :
      ( ~ cowlThing(sK1)
      | cowlNothing(sK1)
      | ~ xsd_integer(sK2)
      | xsd_string(sK2)
      | ~ rp(sK3,X3)
      | ~ sQ6_eqProxy(sK4,sK5) ),
    inference(equality_proxy_replacement,[],[f54,f66]) ).

fof(f73,definition,
    ( spl7_1
  <=> cc(sK3) ),
    introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).

fof(f74,plain,
    ( cc(sK3)
    | ~ spl7_1 ),
    inference(avatar_component_clause,[],[f73]) ).

fof(f76,definition,
    ( spl7_2
  <=> xsd_string(sK2) ),
    introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).

fof(f77,plain,
    ( xsd_string(sK2)
    | ~ spl7_2 ),
    inference(avatar_component_clause,[],[f76]) ).

fof(f79,definition,
    ( spl7_3
  <=> xsd_integer(sK2) ),
    introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).

fof(f82,definition,
    ( spl7_4
  <=> cowlNothing(sK1) ),
    introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition]) ).

fof(f83,plain,
    ( cowlNothing(sK1)
    | ~ spl7_4 ),
    inference(avatar_component_clause,[],[f82]) ).

fof(f85,definition,
    ( spl7_5
  <=> cowlThing(sK1) ),
    introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition]) ).

fof(f86,plain,
    ( ~ cowlThing(sK1)
    | spl7_5 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f87,plain,
    ( spl7_1
    | spl7_2
    | ~ spl7_3
    | spl7_4
    | ~ spl7_5 ),
    inference(avatar_split_clause,[],[f51,f85,f82,f79,f76,f73]) ).

fof(f89,definition,
    ( spl7_6
  <=> rp(sK3,sK5) ),
    introduced(definition,[new_symbols(definition,[spl7_6])],[avatar_definition]) ).

fof(f92,definition,
    ( spl7_7
  <=> ! [X3] : ~ rp(sK3,X3) ),
    introduced(definition,[new_symbols(definition,[spl7_7])],[avatar_definition]) ).

fof(f93,plain,
    ( ! [X3] : ~ rp(sK3,X3)
    | ~ spl7_7 ),
    inference(avatar_component_clause,[],[f92]) ).

fof(f94,plain,
    ( spl7_6
    | spl7_7
    | spl7_2
    | ~ spl7_3
    | spl7_4
    | ~ spl7_5 ),
    inference(avatar_split_clause,[],[f52,f85,f82,f79,f76,f92,f89]) ).

fof(f96,definition,
    ( spl7_8
  <=> rp(sK3,sK4) ),
    introduced(definition,[new_symbols(definition,[spl7_8])],[avatar_definition]) ).

fof(f98,plain,
    ( spl7_8
    | spl7_7
    | spl7_2
    | ~ spl7_3
    | spl7_4
    | ~ spl7_5 ),
    inference(avatar_split_clause,[],[f53,f85,f82,f79,f76,f92,f96]) ).

fof(f100,definition,
    ( spl7_9
  <=> sQ6_eqProxy(sK4,sK5) ),
    introduced(definition,[new_symbols(definition,[spl7_9])],[avatar_definition]) ).

fof(f101,plain,
    ( ~ sQ6_eqProxy(sK4,sK5)
    | spl7_9 ),
    inference(avatar_component_clause,[],[f100]) ).

fof(f102,plain,
    ( ~ spl7_9
    | spl7_7
    | spl7_2
    | ~ spl7_3
    | spl7_4
    | ~ spl7_5 ),
    inference(avatar_split_clause,[],[f69,f85,f82,f79,f76,f92,f100]) ).

fof(f103,plain,
    ( ~ xsd_string(sK2)
    | spl7_2 ),
    inference(avatar_component_clause,[],[f76]) ).

fof(f105,plain,
    ( spl7_1
    | ~ spl7_2
    | spl7_3
    | spl7_4
    | ~ spl7_5 ),
    inference(avatar_split_clause,[],[f55,f85,f82,f79,f76,f73]) ).

fof(f106,plain,
    ( spl7_6
    | spl7_7
    | ~ spl7_2
    | spl7_3
    | spl7_4
    | ~ spl7_5 ),
    inference(avatar_split_clause,[],[f56,f85,f82,f79,f76,f92,f89]) ).

fof(f107,plain,
    ( spl7_8
    | spl7_7
    | ~ spl7_2
    | spl7_3
    | spl7_4
    | ~ spl7_5 ),
    inference(avatar_split_clause,[],[f57,f85,f82,f79,f76,f92,f96]) ).

fof(f108,plain,
    ( ~ spl7_9
    | spl7_7
    | ~ spl7_2
    | spl7_3
    | spl7_4
    | ~ spl7_5 ),
    inference(avatar_split_clause,[],[f68,f85,f82,f79,f76,f92,f100]) ).

fof(f109,plain,
    ( $false
    | spl7_5 ),
    inference(resolution,[],[f46,f86]) ).

fof(f110,plain,
    spl7_5,
    inference(avatar_contradiction_clause,[],[f109]) ).

fof(f111,plain,
    ( xsd_integer(sK2)
    | spl7_2 ),
    inference(resolution,[],[f48,f103]) ).

fof(f113,plain,
    ( spl7_3
    | spl7_2 ),
    inference(avatar_split_clause,[],[f111,f76,f79]) ).

fof(f114,plain,
    ( ~ xsd_integer(sK2)
    | ~ spl7_2 ),
    inference(resolution,[],[f77,f47]) ).

fof(f115,plain,
    ( $false
    | ~ spl7_4 ),
    inference(resolution,[],[f83,f45]) ).

fof(f116,plain,
    ~ spl7_4,
    inference(avatar_contradiction_clause,[],[f115]) ).

fof(f117,plain,
    ( rp(sK3,sK0(sK3))
    | ~ spl7_1 ),
    inference(resolution,[],[f49,f74]) ).

fof(f118,plain,
    ( $false
    | ~ spl7_1
    | ~ spl7_7 ),
    inference(resolution,[],[f117,f93]) ).

fof(f119,plain,
    ( ~ spl7_1
    | ~ spl7_7 ),
    inference(avatar_contradiction_clause,[],[f118]) ).

fof(f120,plain,
    ( ~ spl7_3
    | ~ spl7_2 ),
    inference(avatar_split_clause,[],[f114,f76,f79]) ).

fof(f124,plain,
    ( ! [X0] :
        ( ~ cc(X0)
        | ~ rp(X0,sK5)
        | ~ rp(X0,sK4) )
    | spl7_9 ),
    inference(resolution,[],[f67,f101]) ).

fof(f126,plain,
    ( ~ rp(sK3,sK5)
    | ~ rp(sK3,sK4)
    | ~ spl7_1
    | spl7_9 ),
    inference(resolution,[],[f124,f74]) ).

fof(f129,plain,
    ( ~ spl7_8
    | ~ spl7_6
    | ~ spl7_1
    | spl7_9 ),
    inference(avatar_split_clause,[],[f126,f100,f73,f89,f96]) ).

cnf(s1,plain,
    ( spl7_1
    | spl7_2
    | ~ spl7_3
    | spl7_4
    | ~ spl7_5 ),
    inference(sat_conversion,[],[f87]) ).

cnf(s2,plain,
    ( spl7_2
    | ~ spl7_3
    | spl7_4
    | ~ spl7_5
    | spl7_6
    | spl7_7 ),
    inference(sat_conversion,[],[f94]) ).

cnf(s3,plain,
    ( spl7_2
    | ~ spl7_3
    | spl7_4
    | ~ spl7_5
    | spl7_7
    | spl7_8 ),
    inference(sat_conversion,[],[f98]) ).

cnf(s4,plain,
    ( spl7_2
    | ~ spl7_3
    | spl7_4
    | ~ spl7_5
    | spl7_7
    | ~ spl7_9 ),
    inference(sat_conversion,[],[f102]) ).

cnf(s5,plain,
    ( spl7_1
    | ~ spl7_2
    | spl7_3
    | spl7_4
    | ~ spl7_5 ),
    inference(sat_conversion,[],[f105]) ).

cnf(s6,plain,
    ( ~ spl7_2
    | spl7_3
    | spl7_4
    | ~ spl7_5
    | spl7_6
    | spl7_7 ),
    inference(sat_conversion,[],[f106]) ).

cnf(s7,plain,
    ( ~ spl7_2
    | spl7_3
    | spl7_4
    | ~ spl7_5
    | spl7_7
    | spl7_8 ),
    inference(sat_conversion,[],[f107]) ).

cnf(s8,plain,
    ( ~ spl7_2
    | spl7_3
    | spl7_4
    | ~ spl7_5
    | spl7_7
    | ~ spl7_9 ),
    inference(sat_conversion,[],[f108]) ).

cnf(s9,plain,
    spl7_5,
    inference(sat_conversion,[],[f110]) ).

cnf(s10,plain,
    ( spl7_2
    | spl7_3 ),
    inference(sat_conversion,[],[f113]) ).

cnf(s11,plain,
    ~ spl7_4,
    inference(sat_conversion,[],[f116]) ).

cnf(s12,plain,
    ( ~ spl7_1
    | ~ spl7_7 ),
    inference(sat_conversion,[],[f119]) ).

cnf(s13,plain,
    ( ~ spl7_2
    | ~ spl7_3 ),
    inference(sat_conversion,[],[f120]) ).

cnf(s14,plain,
    ( ~ spl7_1
    | ~ spl7_6
    | ~ spl7_8
    | spl7_9 ),
    inference(sat_conversion,[],[f129]) ).

cnf(s15,plain,
    ( ~ spl7_2
    | spl7_3
    | spl7_7
    | ~ spl7_9 ),
    inference(rat,[],[s8,s9,s11]) ).

cnf(s16,plain,
    ( ~ spl7_2
    | spl7_3
    | spl7_7
    | spl7_8 ),
    inference(rat,[],[s7,s9,s11]) ).

cnf(s17,plain,
    ( ~ spl7_2
    | spl7_3
    | spl7_6
    | spl7_7 ),
    inference(rat,[],[s6,s9,s11]) ).

cnf(s18,plain,
    ( spl7_1
    | ~ spl7_2
    | spl7_3 ),
    inference(rat,[],[s5,s9,s11]) ).

cnf(s19,plain,
    ( spl7_2
    | ~ spl7_3
    | spl7_7
    | ~ spl7_9 ),
    inference(rat,[],[s4,s9,s11]) ).

cnf(s20,plain,
    ( spl7_2
    | ~ spl7_3
    | spl7_7
    | spl7_8 ),
    inference(rat,[],[s3,s9,s11]) ).

cnf(s21,plain,
    ( spl7_2
    | ~ spl7_3
    | spl7_6
    | spl7_7 ),
    inference(rat,[],[s2,s9,s11]) ).

cnf(s22,plain,
    ( spl7_1
    | spl7_2
    | ~ spl7_3 ),
    inference(rat,[],[s1,s9,s11]) ).

cnf(s23,plain,
    ( spl7_2
    | spl7_1 ),
    inference(rat,[],[s22,s10]) ).

cnf(s24,plain,
    spl7_1,
    inference(rat,[],[s18,s13,s23]) ).

cnf(s25,plain,
    ~ spl7_7,
    inference(rat,[],[s12,s24]) ).

cnf(s26,plain,
    ( ~ spl7_3
    | spl7_2 ),
    inference(rat,[],[s14,s20,s19,s21,s25,s24]) ).

cnf(s27,plain,
    spl7_2,
    inference(rat,[],[s26,s10]) ).

cnf(s28,plain,
    ~ spl7_3,
    inference(rat,[],[s13,s27]) ).

cnf(s29,plain,
    ~ spl7_9,
    inference(rat,[],[s15,s27,s25,s28]) ).

cnf(s30,plain,
    spl7_8,
    inference(rat,[],[s16,s27,s25,s28]) ).

cnf(s31,plain,
    spl7_6,
    inference(rat,[],[s17,s25,s27,s28]) ).

cnf(s32,plain,
    $false,
    inference(rat,[],[s14,s29,s24,s30,s31]) ).

fof(f130,plain,
    $false,
    inference(avatar_sat_refutation,[],[s32]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS143+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38  % Computer : n008.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Sun Sep 27 13:30:09 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41  Running first-order theorem proving
% 0.12/0.41  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.85/1.29  % (1227339)Detected formulas, will run a generic FOF schedule.
% 2.85/1.29  % (1227344)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=153708198:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.85/1.29  % (1227345)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3554544357:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.85/1.29  % (1227348)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4031111489:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.85/1.29  % (1227347)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2426766114:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.85/1.29  % (1227350)dis-21_1_sil=8000:lcm=predicate:random_seed=4118517581:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.85/1.29  % (1227346)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1423163645:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.85/1.29  % (1227349)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=531826015:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.85/1.29  % (1227350)First to succeed.
% 2.85/1.29  % (1227347)Also succeeded, but the first one will report.
% 2.85/1.29  % (1227349)Also succeeded, but the first one will report.
% 2.85/1.29  % (1227348)Also succeeded, but the first one will report.
% 2.85/1.29  % (1227350)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1227339"
% 2.85/1.29  % (1227350)Refutation found. Thanks to Tanya!
% 2.85/1.29  % SZS status Theorem for theBenchmark
% 2.85/1.29  % SZS output start Proof for theBenchmark
% See solution above
% 3.65/1.49  % (1227350)------------------------------
% 3.65/1.49  % (1227350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.49  % (1227350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.49  % (1227350)CaDiCaL version: 2.1.3
% 3.65/1.49  % (1227350)Termination reason: Refutation
% 3.65/1.49  % (1227350)Time elapsed: 0.004 s
% 3.65/1.49  % (1227350)Peak memory usage: 89 MB
% 3.65/1.49  % (1227350)Instructions burned: 3 (million)
% 3.65/1.49  % (1227350)------------------------------
% 3.65/1.49  % (1227350)------------------------------
% 3.65/1.49  % (1227339)Success in time 0.436 s
% 3.65/1.49  % Vampire exiting
%------------------------------------------------------------------------------