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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SEU192+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n003.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 12:52:19 PM UTC 2026

% Result   : Theorem 0.17s 0.48s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   93 (  13 unt;   5 def)
%            Number of atoms       :  264 (  18 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  311 ( 140   ~; 143   |;   6   &)
%                                         (  15 <=>;   6  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   6 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :  141 (   0 sgn 136   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).

fof(f4,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1,X2] :
          ( relation(X2)
         => ( X2 = relation_dom_restriction(X0,X1)
          <=> ! [X3,X4] :
                ( in(ordered_pair(X3,X4),X2)
              <=> ( in(X3,X1)
                  & in(ordered_pair(X3,X4),X0) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_relat_1) ).

fof(f5,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( X1 = relation_dom(X0)
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_1) ).

fof(f6,axiom,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( relation(X0)
     => relation(relation_dom_restriction(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_relat_1) ).

fof(f30,conjecture,
    ! [X0,X1,X2] :
      ( relation(X2)
     => ( in(X0,relation_dom(relation_dom_restriction(X2,X1)))
      <=> ( in(X0,X1)
          & in(X0,relation_dom(X2)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t86_relat_1) ).

fof(f31,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( relation(X2)
       => ( in(X0,relation_dom(relation_dom_restriction(X2,X1)))
        <=> ( in(X0,X1)
            & in(X0,relation_dom(X2)) ) ) ),
    inference(negated_conjecture,[status(cth)],[f30]) ).

fof(f35,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( X2 = relation_dom_restriction(X0,X1)
          <=> ! [X3,X4] :
                ( in(ordered_pair(X3,X4),X2)
              <=> ( in(X3,X1)
                  & in(ordered_pair(X3,X4),X0) ) ) )
          | ~ relation(X2) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f36,plain,
    ! [X0] :
      ( ! [X1] :
          ( X1 = relation_dom(X0)
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( relation(relation_dom_restriction(X0,X1))
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f46,plain,
    ? [X0,X1,X2] :
      ( ( in(X0,relation_dom(relation_dom_restriction(X2,X1)))
      <~> ( in(X0,X1)
          & in(X0,relation_dom(X2)) ) )
      & relation(X2) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f50,plain,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f54,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ relation(X0)
      | ~ relation(X2)
      | in(ordered_pair(X3,X4),X0)
      | ~ in(ordered_pair(X3,X4),X2)
      | relation_dom_restriction(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f35]) ).

fof(f55,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ relation(X0)
      | ~ relation(X2)
      | in(X3,X1)
      | ~ in(ordered_pair(X3,X4),X2)
      | relation_dom_restriction(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f35]) ).

fof(f56,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ relation(X0)
      | ~ relation(X2)
      | ~ in(ordered_pair(X3,X4),X0)
      | ~ in(X3,X1)
      | in(ordered_pair(X3,X4),X2)
      | relation_dom_restriction(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f35]) ).

fof(f57,plain,
    ! [X2,X3,X0,X1] :
      ( ~ relation(X0)
      | ~ in(ordered_pair(X2,X3),X0)
      | in(X2,X1)
      | relation_dom(X0) != X1 ),
    inference(cnf_transformation,[],[f36]) ).

fof(f58,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X0)
      | in(ordered_pair(X2,sK3(X0,X2)),X0)
      | ~ in(X2,X1)
      | relation_dom(X0) != X1 ),
    inference(cnf_transformation,[],[f36]) ).

fof(f61,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    inference(cnf_transformation,[],[f6]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( relation(relation_dom_restriction(X0,X1))
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f83,plain,
    ( ~ in(sK10,relation_dom(sK12))
    | ~ in(sK10,sK11)
    | ~ in(sK10,relation_dom(relation_dom_restriction(sK12,sK11))) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f84,plain,
    ( in(sK10,relation_dom(sK12))
    | in(sK10,relation_dom(relation_dom_restriction(sK12,sK11))) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f85,plain,
    ( in(sK10,sK11)
    | in(sK10,relation_dom(relation_dom_restriction(sK12,sK11))) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f86,plain,
    relation(sK12),
    inference(cnf_transformation,[],[f46]) ).

fof(f88,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ relation(X0)
      | ~ relation(X2)
      | ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X0)
      | ~ in(X3,X1)
      | in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X2)
      | relation_dom_restriction(X0,X1) != X2 ),
    inference(definition_unfolding,[],[f56,f61,f61]) ).

fof(f89,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ relation(X0)
      | ~ relation(X2)
      | in(X3,X1)
      | ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X2)
      | relation_dom_restriction(X0,X1) != X2 ),
    inference(definition_unfolding,[],[f55,f61]) ).

fof(f90,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ relation(X0)
      | ~ relation(X2)
      | in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X0)
      | ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X2)
      | relation_dom_restriction(X0,X1) != X2 ),
    inference(definition_unfolding,[],[f54,f61,f61]) ).

fof(f96,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X0)
      | in(unordered_pair(unordered_pair(X2,sK3(X0,X2)),singleton(X2)),X0)
      | ~ in(X2,X1)
      | relation_dom(X0) != X1 ),
    inference(definition_unfolding,[],[f58,f61]) ).

fof(f97,plain,
    ! [X2,X3,X0,X1] :
      ( ~ relation(X0)
      | ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X0)
      | in(X2,X1)
      | relation_dom(X0) != X1 ),
    inference(definition_unfolding,[],[f57,f61]) ).

fof(f99,plain,
    ! [X3,X0,X1,X4] :
      ( ~ relation(X0)
      | ~ relation(relation_dom_restriction(X0,X1))
      | ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X0)
      | ~ in(X3,X1)
      | in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_dom_restriction(X0,X1)) ),
    inference(equality_resolution,[],[f88]) ).

fof(f100,plain,
    ! [X3,X0,X1,X4] :
      ( ~ relation(X0)
      | ~ relation(relation_dom_restriction(X0,X1))
      | in(X3,X1)
      | ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_dom_restriction(X0,X1)) ),
    inference(equality_resolution,[],[f89]) ).

fof(f101,plain,
    ! [X3,X0,X1,X4] :
      ( ~ relation(X0)
      | ~ relation(relation_dom_restriction(X0,X1))
      | in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X0)
      | ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_dom_restriction(X0,X1)) ),
    inference(equality_resolution,[],[f90]) ).

fof(f102,plain,
    ! [X2,X0] :
      ( ~ relation(X0)
      | in(unordered_pair(unordered_pair(X2,sK3(X0,X2)),singleton(X2)),X0)
      | ~ in(X2,relation_dom(X0)) ),
    inference(equality_resolution,[],[f96]) ).

fof(f103,plain,
    ! [X2,X3,X0] :
      ( ~ relation(X0)
      | ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X0)
      | in(X2,relation_dom(X0)) ),
    inference(equality_resolution,[],[f97]) ).

fof(f122,definition,
    ( spl13_1
  <=> in(sK10,relation_dom(relation_dom_restriction(sK12,sK11))) ),
    introduced(definition,[new_symbols(definition,[spl13_1])],[avatar_definition]) ).

fof(f123,plain,
    ( in(sK10,relation_dom(relation_dom_restriction(sK12,sK11)))
    | ~ spl13_1 ),
    inference(avatar_component_clause,[],[f122]) ).

fof(f124,plain,
    ( ~ in(sK10,relation_dom(relation_dom_restriction(sK12,sK11)))
    | spl13_1 ),
    inference(avatar_component_clause,[],[f122]) ).

fof(f126,definition,
    ( spl13_2
  <=> in(sK10,sK11) ),
    introduced(definition,[new_symbols(definition,[spl13_2])],[avatar_definition]) ).

fof(f127,plain,
    ( in(sK10,sK11)
    | ~ spl13_2 ),
    inference(avatar_component_clause,[],[f126]) ).

fof(f130,definition,
    ( spl13_3
  <=> in(sK10,relation_dom(sK12)) ),
    introduced(definition,[new_symbols(definition,[spl13_3])],[avatar_definition]) ).

fof(f131,plain,
    ( in(sK10,relation_dom(sK12))
    | ~ spl13_3 ),
    inference(avatar_component_clause,[],[f130]) ).

fof(f133,plain,
    ( ~ spl13_1
    | ~ spl13_2
    | ~ spl13_3 ),
    inference(avatar_split_clause,[],[f83,f130,f126,f122]) ).

fof(f134,plain,
    ( spl13_1
    | spl13_3 ),
    inference(avatar_split_clause,[],[f84,f130,f122]) ).

fof(f135,plain,
    ( spl13_1
    | spl13_2 ),
    inference(avatar_split_clause,[],[f85,f126,f122]) ).

fof(f169,plain,
    ! [X2,X3,X0] :
      ( ~ in(unordered_pair(singleton(X2),unordered_pair(X2,X3)),X0)
      | ~ relation(X0)
      | in(X2,relation_dom(X0)) ),
    inference(forward_demodulation,[],[f103,f50]) ).

fof(f185,plain,
    ! [X2,X0] :
      ( ~ in(X2,relation_dom(X0))
      | ~ relation(X0)
      | in(unordered_pair(singleton(X2),unordered_pair(X2,sK3(X0,X2))),X0) ),
    inference(forward_demodulation,[],[f102,f50]) ).

fof(f186,plain,
    ( ~ relation(sK12)
    | in(unordered_pair(singleton(sK10),unordered_pair(sK10,sK3(sK12,sK10))),sK12)
    | ~ spl13_3 ),
    inference(resolution,[],[f185,f131]) ).

fof(f190,plain,
    ( in(unordered_pair(singleton(sK10),unordered_pair(sK10,sK3(sK12,sK10))),sK12)
    | ~ spl13_3 ),
    inference(forward_subsumption_resolution,[],[f186,f86]) ).

fof(f194,plain,
    ! [X3,X0,X1,X4] :
      ( ~ relation(X0)
      | in(X3,X1)
      | ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_dom_restriction(X0,X1)) ),
    inference(forward_subsumption_resolution,[],[f100,f62]) ).

fof(f195,plain,
    ! [X3,X0,X1,X4] :
      ( ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X4)),relation_dom_restriction(X0,X1))
      | ~ relation(X0)
      | in(X3,X1) ),
    inference(forward_demodulation,[],[f194,f50]) ).

fof(f230,plain,
    ! [X3,X0,X1,X4] :
      ( ~ relation(X0)
      | in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X0)
      | ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_dom_restriction(X0,X1)) ),
    inference(forward_subsumption_resolution,[],[f101,f62]) ).

fof(f231,plain,
    ! [X3,X0,X1,X4] :
      ( in(unordered_pair(singleton(X3),unordered_pair(X3,X4)),X0)
      | ~ relation(X0)
      | ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_dom_restriction(X0,X1)) ),
    inference(forward_demodulation,[],[f230,f50]) ).

fof(f232,plain,
    ! [X3,X0,X1,X4] :
      ( ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X4)),relation_dom_restriction(X0,X1))
      | in(unordered_pair(singleton(X3),unordered_pair(X3,X4)),X0)
      | ~ relation(X0) ),
    inference(forward_demodulation,[],[f231,f50]) ).

fof(f252,plain,
    ! [X3,X0,X1,X4] :
      ( ~ relation(X0)
      | ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X0)
      | ~ in(X3,X1)
      | in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_dom_restriction(X0,X1)) ),
    inference(forward_subsumption_resolution,[],[f99,f62]) ).

fof(f253,plain,
    ! [X3,X0,X1,X4] :
      ( ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X4)),X0)
      | ~ relation(X0)
      | ~ in(X3,X1)
      | in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_dom_restriction(X0,X1)) ),
    inference(forward_demodulation,[],[f252,f50]) ).

fof(f254,plain,
    ! [X3,X0,X1,X4] :
      ( ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X4)),X0)
      | in(unordered_pair(singleton(X3),unordered_pair(X3,X4)),relation_dom_restriction(X0,X1))
      | ~ relation(X0)
      | ~ in(X3,X1) ),
    inference(forward_demodulation,[],[f253,f50]) ).

fof(f275,plain,
    ( ! [X0] :
        ( in(unordered_pair(singleton(sK10),unordered_pair(sK10,sK3(sK12,sK10))),relation_dom_restriction(sK12,X0))
        | ~ relation(sK12)
        | ~ in(sK10,X0) )
    | ~ spl13_3 ),
    inference(resolution,[],[f254,f190]) ).

fof(f280,plain,
    ( ! [X0] :
        ( ~ in(sK10,X0)
        | in(unordered_pair(singleton(sK10),unordered_pair(sK10,sK3(sK12,sK10))),relation_dom_restriction(sK12,X0)) )
    | ~ spl13_3 ),
    inference(forward_subsumption_resolution,[],[f275,f86]) ).

fof(f282,plain,
    ( in(unordered_pair(singleton(sK10),unordered_pair(sK10,sK3(sK12,sK10))),relation_dom_restriction(sK12,sK11))
    | ~ spl13_2
    | ~ spl13_3 ),
    inference(resolution,[],[f280,f127]) ).

fof(f287,plain,
    ( ~ relation(relation_dom_restriction(sK12,sK11))
    | in(sK10,relation_dom(relation_dom_restriction(sK12,sK11)))
    | ~ spl13_2
    | ~ spl13_3 ),
    inference(resolution,[],[f282,f169]) ).

fof(f290,plain,
    ( ~ relation(relation_dom_restriction(sK12,sK11))
    | spl13_1
    | ~ spl13_2
    | ~ spl13_3 ),
    inference(forward_subsumption_resolution,[],[f287,f124]) ).

fof(f292,definition,
    ( spl13_4
  <=> relation(relation_dom_restriction(sK12,sK11)) ),
    introduced(definition,[new_symbols(definition,[spl13_4])],[avatar_definition]) ).

fof(f294,plain,
    ( ~ relation(relation_dom_restriction(sK12,sK11))
    | spl13_4 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f299,plain,
    ( ~ spl13_4
    | spl13_1
    | ~ spl13_2
    | ~ spl13_3 ),
    inference(avatar_split_clause,[],[f290,f130,f126,f122,f292]) ).

fof(f328,plain,
    ( ~ relation(sK12)
    | spl13_4 ),
    inference(resolution,[],[f294,f62]) ).

fof(f329,plain,
    ( $false
    | spl13_4 ),
    inference(forward_subsumption_resolution,[],[f328,f86]) ).

fof(f330,plain,
    spl13_4,
    inference(avatar_contradiction_clause,[],[f329]) ).

fof(f344,plain,
    ( ~ relation(relation_dom_restriction(sK12,sK11))
    | in(unordered_pair(singleton(sK10),unordered_pair(sK10,sK3(relation_dom_restriction(sK12,sK11),sK10))),relation_dom_restriction(sK12,sK11))
    | ~ spl13_1 ),
    inference(resolution,[],[f123,f185]) ).

fof(f348,definition,
    ( spl13_9
  <=> in(unordered_pair(singleton(sK10),unordered_pair(sK10,sK3(relation_dom_restriction(sK12,sK11),sK10))),relation_dom_restriction(sK12,sK11)) ),
    introduced(definition,[new_symbols(definition,[spl13_9])],[avatar_definition]) ).

fof(f350,plain,
    ( in(unordered_pair(singleton(sK10),unordered_pair(sK10,sK3(relation_dom_restriction(sK12,sK11),sK10))),relation_dom_restriction(sK12,sK11))
    | ~ spl13_9 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f351,plain,
    ( spl13_9
    | ~ spl13_4
    | ~ spl13_1 ),
    inference(avatar_split_clause,[],[f344,f122,f292,f348]) ).

fof(f359,plain,
    ( in(unordered_pair(singleton(sK10),unordered_pair(sK10,sK3(relation_dom_restriction(sK12,sK11),sK10))),sK12)
    | ~ relation(sK12)
    | ~ spl13_9 ),
    inference(resolution,[],[f350,f232]) ).

fof(f360,plain,
    ( ~ relation(sK12)
    | in(sK10,sK11)
    | ~ spl13_9 ),
    inference(resolution,[],[f350,f195]) ).

fof(f366,plain,
    ( in(unordered_pair(singleton(sK10),unordered_pair(sK10,sK3(relation_dom_restriction(sK12,sK11),sK10))),sK12)
    | ~ spl13_9 ),
    inference(forward_subsumption_resolution,[],[f359,f86]) ).

fof(f391,plain,
    ( ~ relation(sK12)
    | in(sK10,relation_dom(sK12))
    | ~ spl13_9 ),
    inference(resolution,[],[f366,f169]) ).

fof(f394,plain,
    ( in(sK10,relation_dom(sK12))
    | ~ spl13_9 ),
    inference(forward_subsumption_resolution,[],[f391,f86]) ).

fof(f398,plain,
    ( spl13_3
    | ~ spl13_9 ),
    inference(avatar_split_clause,[],[f394,f348,f130]) ).

fof(f399,plain,
    ( in(sK10,sK11)
    | ~ spl13_9 ),
    inference(forward_subsumption_resolution,[],[f360,f86]) ).

fof(f400,plain,
    ( spl13_2
    | ~ spl13_9 ),
    inference(avatar_split_clause,[],[f399,f348,f126]) ).

cnf(s1,plain,
    ( ~ spl13_1
    | ~ spl13_2
    | ~ spl13_3 ),
    inference(sat_conversion,[],[f133]) ).

cnf(s2,plain,
    ( spl13_1
    | spl13_3 ),
    inference(sat_conversion,[],[f134]) ).

cnf(s3,plain,
    ( spl13_1
    | spl13_2 ),
    inference(sat_conversion,[],[f135]) ).

cnf(s5,plain,
    ( spl13_1
    | ~ spl13_2
    | ~ spl13_3
    | ~ spl13_4 ),
    inference(sat_conversion,[],[f299]) ).

cnf(s6,plain,
    spl13_4,
    inference(sat_conversion,[],[f330]) ).

cnf(s9,plain,
    ( ~ spl13_1
    | ~ spl13_4
    | spl13_9 ),
    inference(sat_conversion,[],[f351]) ).

cnf(s11,plain,
    ( spl13_3
    | ~ spl13_9 ),
    inference(sat_conversion,[],[f398]) ).

cnf(s12,plain,
    ( spl13_2
    | ~ spl13_9 ),
    inference(sat_conversion,[],[f400]) ).

cnf(s13,plain,
    ( spl13_1
    | ~ spl13_2
    | ~ spl13_3 ),
    inference(rat,[],[s5,s6]) ).

cnf(s15,plain,
    spl13_1,
    inference(rat,[],[s13,s2,s3]) ).

cnf(s16,plain,
    spl13_9,
    inference(rat,[],[s9,s6,s15]) ).

cnf(s17,plain,
    spl13_2,
    inference(rat,[],[s12,s16]) ).

cnf(s18,plain,
    spl13_3,
    inference(rat,[],[s11,s16]) ).

cnf(s19,plain,
    $false,
    inference(rat,[],[s1,s15,s17,s18]) ).

fof(f401,plain,
    $false,
    inference(avatar_sat_refutation,[],[s19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU192+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37  % Computer : n003.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 28 04:00:26 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41  Running first-order model finding
% 0.11/0.41  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.48  % (1173184)Will run a generic schedule for satisfiability detection.
% 0.17/0.48  % (1173193)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=285230749:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.48  % (1173190)% WARNING: option uhcvi not known.
% 0.17/0.48  % (1173189)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3926751014_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.48  % (1173192)dis+10_1_sil=32000:sp=arity:random_seed=2835070137:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.48  % (1173190)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2016755899:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.48  % (1173191)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3427647606:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.48  % (1173194)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=227140661:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.48  % (1173195)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3202734300:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.48  % TRYING [1]
% 0.17/0.48  % TRYING [2]
% 0.17/0.48  % TRYING [3]
% 0.17/0.48  % (1173190) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1173184-1173190"...
% 0.17/0.48  % (1173190)...printing done.
% 0.17/0.48  % (1173193) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1173184-1173193"...
% 0.17/0.48  % (1173190)Refutation found. Thanks to Tanya!
% 0.17/0.48  % SZS status Theorem for theBenchmark
% 0.17/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48  % (1173190)------------------------------
% 0.17/0.48  % (1173190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.48  % (1173190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.48  % (1173190)CaDiCaL version: 2.1.3
% 0.17/0.48  % (1173190)Termination reason: Refutation
% 0.17/0.48  % (1173190)Time elapsed: 0.013 s
% 0.17/0.48  % (1173190)Peak memory usage: 13 MB
% 0.17/0.48  % (1173190)Instructions burned: 17 (million)
% 0.17/0.48  % (1173184)Success in time 0.062 s
% 0.17/0.48  % Vampire exiting
%------------------------------------------------------------------------------