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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC379+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n011.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 01:05:47 PM UTC 2026

% Result   : Theorem 0.20s 0.27s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   81 (  11 unt;   7 def)
%            Number of atoms       :  421 (  53 equ)
%            Maximal formula atoms :   32 (   5 avg)
%            Number of connectives :  555 ( 215   ~; 219   |;  93   &)
%                                         (   7 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   8 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-1 aty)
%            Number of variables   :   64 (   0 sgn  41   !;  23   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( X1 != X3
                    | X0 != X2
                    | ? [X4] :
                        ( ssItem(X4)
                        & ( ( ~ memberP(X2,X4)
                            & ! [X5] :
                                ( ssItem(X5)
                               => ( ~ memberP(X3,X5)
                                  | ~ leq(X5,X4)
                                  | X4 = X5 ) )
                            & memberP(X3,X4) )
                          | ( memberP(X2,X4)
                            & ( ~ memberP(X3,X4)
                              | ? [X5] :
                                  ( ssItem(X5)
                                  & X4 != X5
                                  & memberP(X3,X5)
                                  & leq(X5,X4) ) ) ) ) )
                    | ! [X6] :
                        ( ssItem(X6)
                       => ( ( ~ memberP(X0,X6)
                            & ( ~ memberP(X1,X6)
                              | ? [X7] :
                                  ( ssItem(X7)
                                  & X6 != X7
                                  & memberP(X1,X7)
                                  & leq(X7,X6) ) ) )
                          | ( ! [X7] :
                                ( ssItem(X7)
                               => ( ~ memberP(X1,X7)
                                  | ~ leq(X7,X6)
                                  | X6 = X7 ) )
                            & memberP(X1,X6)
                            & memberP(X0,X6) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( X1 != X3
                      | X0 != X2
                      | ? [X4] :
                          ( ssItem(X4)
                          & ( ( ~ memberP(X2,X4)
                              & ! [X5] :
                                  ( ssItem(X5)
                                 => ( ~ memberP(X3,X5)
                                    | ~ leq(X5,X4)
                                    | X4 = X5 ) )
                              & memberP(X3,X4) )
                            | ( memberP(X2,X4)
                              & ( ~ memberP(X3,X4)
                                | ? [X5] :
                                    ( ssItem(X5)
                                    & X4 != X5
                                    & memberP(X3,X5)
                                    & leq(X5,X4) ) ) ) ) )
                      | ! [X6] :
                          ( ssItem(X6)
                         => ( ( ~ memberP(X0,X6)
                              & ( ~ memberP(X1,X6)
                                | ? [X7] :
                                    ( ssItem(X7)
                                    & X6 != X7
                                    & memberP(X1,X7)
                                    & leq(X7,X6) ) ) )
                            | ( ! [X7] :
                                  ( ssItem(X7)
                                 => ( ~ memberP(X1,X7)
                                    | ~ leq(X7,X6)
                                    | X6 = X7 ) )
                              & memberP(X1,X6)
                              & memberP(X0,X6) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f96]) ).

fof(f98,plain,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( X1 != X3
                      | X0 != X2
                      | ? [X4] :
                          ( ssItem(X4)
                          & ( ( ~ memberP(X2,X4)
                              & ! [X5] :
                                  ( ssItem(X5)
                                 => ( ~ memberP(X3,X5)
                                    | ~ leq(X5,X4)
                                    | X4 = X5 ) )
                              & memberP(X3,X4) )
                            | ( memberP(X2,X4)
                              & ( ~ memberP(X3,X4)
                                | ? [X6] :
                                    ( ssItem(X6)
                                    & X4 != X6
                                    & memberP(X3,X6)
                                    & leq(X6,X4) ) ) ) ) )
                      | ! [X7] :
                          ( ssItem(X7)
                         => ( ( ~ memberP(X0,X7)
                              & ( ~ memberP(X1,X7)
                                | ? [X8] :
                                    ( ssItem(X8)
                                    & X7 != X8
                                    & memberP(X1,X8)
                                    & leq(X8,X7) ) ) )
                            | ( ! [X9] :
                                  ( ssItem(X9)
                                 => ( ~ memberP(X1,X9)
                                    | ~ leq(X9,X7)
                                    | X7 = X9 ) )
                              & memberP(X1,X7)
                              & memberP(X0,X7) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f97]) ).

fof(f222,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & X0 = X2
                  & ! [X4] :
                      ( ~ ssItem(X4)
                      | ( ( memberP(X2,X4)
                          | ? [X5] :
                              ( memberP(X3,X5)
                              & leq(X5,X4)
                              & X4 != X5
                              & ssItem(X5) )
                          | ~ memberP(X3,X4) )
                        & ( ~ memberP(X2,X4)
                          | ( memberP(X3,X4)
                            & ! [X6] :
                                ( ~ ssItem(X6)
                                | X4 = X6
                                | ~ memberP(X3,X6)
                                | ~ leq(X6,X4) ) ) ) ) )
                  & ? [X7] :
                      ( ( memberP(X0,X7)
                        | ( memberP(X1,X7)
                          & ! [X8] :
                              ( ~ ssItem(X8)
                              | X7 = X8
                              | ~ memberP(X1,X8)
                              | ~ leq(X8,X7) ) ) )
                      & ( ? [X9] :
                            ( memberP(X1,X9)
                            & leq(X9,X7)
                            & X7 != X9
                            & ssItem(X9) )
                        | ~ memberP(X1,X7)
                        | ~ memberP(X0,X7) )
                      & ssItem(X7) )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f223,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & X0 = X2
                  & ! [X4] :
                      ( ~ ssItem(X4)
                      | ( ( memberP(X2,X4)
                          | ? [X5] :
                              ( memberP(X3,X5)
                              & leq(X5,X4)
                              & X4 != X5
                              & ssItem(X5) )
                          | ~ memberP(X3,X4) )
                        & ( ~ memberP(X2,X4)
                          | ( memberP(X3,X4)
                            & ! [X6] :
                                ( ~ ssItem(X6)
                                | X4 = X6
                                | ~ memberP(X3,X6)
                                | ~ leq(X6,X4) ) ) ) ) )
                  & ? [X7] :
                      ( ( memberP(X0,X7)
                        | ( memberP(X1,X7)
                          & ! [X8] :
                              ( ~ ssItem(X8)
                              | X7 = X8
                              | ~ memberP(X1,X8)
                              | ~ leq(X8,X7) ) ) )
                      & ( ? [X9] :
                            ( memberP(X1,X9)
                            & leq(X9,X7)
                            & X7 != X9
                            & ssItem(X9) )
                        | ~ memberP(X1,X7)
                        | ~ memberP(X0,X7) )
                      & ssItem(X7) )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f222]) ).

fof(f297,plain,
    ( sK54 = sK56
    & sK53 = sK55
    & ! [X4] :
        ( ~ ssItem(X4)
        | ( ( memberP(sK55,X4)
            | ( memberP(sK56,sK57(X4))
              & leq(sK57(X4),X4)
              & sK57(X4) != X4
              & ssItem(sK57(X4)) )
            | ~ memberP(sK56,X4) )
          & ( ~ memberP(sK55,X4)
            | ( memberP(sK56,X4)
              & ! [X6] :
                  ( ~ ssItem(X6)
                  | X4 = X6
                  | ~ memberP(sK56,X6)
                  | ~ leq(X6,X4) ) ) ) ) )
    & ( memberP(sK53,sK58)
      | ( memberP(sK54,sK58)
        & ! [X8] :
            ( ~ ssItem(X8)
            | sK58 = X8
            | ~ memberP(sK54,X8)
            | ~ leq(X8,sK58) ) ) )
    & ( ( memberP(sK54,sK59)
        & leq(sK59,sK58)
        & sK58 != sK59
        & ssItem(sK59) )
      | ~ memberP(sK54,sK58)
      | ~ memberP(sK53,sK58) )
    & ssItem(sK58)
    & ssList(sK56)
    & ssList(sK55)
    & ssList(sK54)
    & ssList(sK53) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57,sK58,sK59]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56),skolemize(X5,sK57(X4)),skolemize(X7,sK58),skolemize(X9,sK59)],[f223]) ).

fof(f501,plain,
    ssItem(sK58),
    inference(cnf_transformation,[],[f297]) ).

fof(f502,plain,
    ( ssItem(sK59)
    | ~ memberP(sK54,sK58)
    | ~ memberP(sK53,sK58) ),
    inference(cnf_transformation,[],[f297]) ).

fof(f503,plain,
    ( sK58 != sK59
    | ~ memberP(sK54,sK58)
    | ~ memberP(sK53,sK58) ),
    inference(cnf_transformation,[],[f297]) ).

fof(f504,plain,
    ( leq(sK59,sK58)
    | ~ memberP(sK54,sK58)
    | ~ memberP(sK53,sK58) ),
    inference(cnf_transformation,[],[f297]) ).

fof(f505,plain,
    ( memberP(sK54,sK59)
    | ~ memberP(sK54,sK58)
    | ~ memberP(sK53,sK58) ),
    inference(cnf_transformation,[],[f297]) ).

fof(f506,plain,
    ! [X8] :
      ( memberP(sK53,sK58)
      | ~ ssItem(X8)
      | sK58 = X8
      | ~ memberP(sK54,X8)
      | ~ leq(X8,sK58) ),
    inference(cnf_transformation,[],[f297]) ).

fof(f507,plain,
    ( memberP(sK53,sK58)
    | memberP(sK54,sK58) ),
    inference(cnf_transformation,[],[f297]) ).

fof(f508,plain,
    ! [X6,X4] :
      ( ~ leq(X6,X4)
      | ~ memberP(sK55,X4)
      | ~ ssItem(X6)
      | X4 = X6
      | ~ memberP(sK56,X6)
      | ~ ssItem(X4) ),
    inference(cnf_transformation,[],[f297]) ).

fof(f509,plain,
    ! [X4] :
      ( ~ memberP(sK55,X4)
      | ~ ssItem(X4)
      | memberP(sK56,X4) ),
    inference(cnf_transformation,[],[f297]) ).

fof(f510,plain,
    ! [X4] :
      ( ~ memberP(sK56,X4)
      | memberP(sK55,X4)
      | ssItem(sK57(X4))
      | ~ ssItem(X4) ),
    inference(cnf_transformation,[],[f297]) ).

fof(f511,plain,
    ! [X4] :
      ( sK57(X4) != X4
      | memberP(sK55,X4)
      | ~ ssItem(X4)
      | ~ memberP(sK56,X4) ),
    inference(cnf_transformation,[],[f297]) ).

fof(f512,plain,
    ! [X4] :
      ( leq(sK57(X4),X4)
      | memberP(sK55,X4)
      | ~ ssItem(X4)
      | ~ memberP(sK56,X4) ),
    inference(cnf_transformation,[],[f297]) ).

fof(f513,plain,
    ! [X4] :
      ( memberP(sK56,sK57(X4))
      | memberP(sK55,X4)
      | ~ ssItem(X4)
      | ~ memberP(sK56,X4) ),
    inference(cnf_transformation,[],[f297]) ).

fof(f514,plain,
    sK53 = sK55,
    inference(cnf_transformation,[],[f297]) ).

fof(f515,plain,
    sK54 = sK56,
    inference(cnf_transformation,[],[f297]) ).

fof(f516,plain,
    ( memberP(sK55,sK58)
    | memberP(sK56,sK58) ),
    inference(definition_unfolding,[],[f507,f514,f515]) ).

fof(f517,plain,
    ! [X8] :
      ( memberP(sK55,sK58)
      | ~ ssItem(X8)
      | sK58 = X8
      | ~ memberP(sK56,X8)
      | ~ leq(X8,sK58) ),
    inference(definition_unfolding,[],[f506,f514,f515]) ).

fof(f518,plain,
    ( memberP(sK56,sK59)
    | ~ memberP(sK56,sK58)
    | ~ memberP(sK55,sK58) ),
    inference(definition_unfolding,[],[f505,f515,f515,f514]) ).

fof(f519,plain,
    ( leq(sK59,sK58)
    | ~ memberP(sK56,sK58)
    | ~ memberP(sK55,sK58) ),
    inference(definition_unfolding,[],[f504,f515,f514]) ).

fof(f520,plain,
    ( sK58 != sK59
    | ~ memberP(sK56,sK58)
    | ~ memberP(sK55,sK58) ),
    inference(definition_unfolding,[],[f503,f515,f514]) ).

fof(f521,plain,
    ( ssItem(sK59)
    | ~ memberP(sK56,sK58)
    | ~ memberP(sK55,sK58) ),
    inference(definition_unfolding,[],[f502,f515,f514]) ).

fof(f559,definition,
    ( spl60_1
  <=> memberP(sK55,sK58) ),
    introduced(definition,[new_symbols(definition,[spl60_1])],[avatar_definition]) ).

fof(f560,plain,
    ( memberP(sK55,sK58)
    | ~ spl60_1 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f563,definition,
    ( spl60_2
  <=> memberP(sK56,sK58) ),
    introduced(definition,[new_symbols(definition,[spl60_2])],[avatar_definition]) ).

fof(f564,plain,
    ( memberP(sK56,sK58)
    | ~ spl60_2 ),
    inference(avatar_component_clause,[],[f563]) ).

fof(f567,definition,
    ( spl60_3
  <=> ssItem(sK59) ),
    introduced(definition,[new_symbols(definition,[spl60_3])],[avatar_definition]) ).

fof(f569,plain,
    ( ssItem(sK59)
    | ~ spl60_3 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f570,plain,
    ( ~ spl60_1
    | ~ spl60_2
    | spl60_3 ),
    inference(avatar_split_clause,[],[f521,f567,f563,f559]) ).

fof(f572,definition,
    ( spl60_4
  <=> sK58 = sK59 ),
    introduced(definition,[new_symbols(definition,[spl60_4])],[avatar_definition]) ).

fof(f574,plain,
    ( sK58 != sK59
    | spl60_4 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f575,plain,
    ( ~ spl60_1
    | ~ spl60_2
    | ~ spl60_4 ),
    inference(avatar_split_clause,[],[f520,f572,f563,f559]) ).

fof(f577,definition,
    ( spl60_5
  <=> leq(sK59,sK58) ),
    introduced(definition,[new_symbols(definition,[spl60_5])],[avatar_definition]) ).

fof(f579,plain,
    ( leq(sK59,sK58)
    | ~ spl60_5 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f580,plain,
    ( ~ spl60_1
    | ~ spl60_2
    | spl60_5 ),
    inference(avatar_split_clause,[],[f519,f577,f563,f559]) ).

fof(f582,definition,
    ( spl60_6
  <=> memberP(sK56,sK59) ),
    introduced(definition,[new_symbols(definition,[spl60_6])],[avatar_definition]) ).

fof(f584,plain,
    ( memberP(sK56,sK59)
    | ~ spl60_6 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f585,plain,
    ( ~ spl60_1
    | ~ spl60_2
    | spl60_6 ),
    inference(avatar_split_clause,[],[f518,f582,f563,f559]) ).

fof(f587,definition,
    ( spl60_7
  <=> ! [X8] :
        ( ~ ssItem(X8)
        | ~ leq(X8,sK58)
        | ~ memberP(sK56,X8)
        | sK58 = X8 ) ),
    introduced(definition,[new_symbols(definition,[spl60_7])],[avatar_definition]) ).

fof(f588,plain,
    ( ! [X8] :
        ( ~ leq(X8,sK58)
        | ~ ssItem(X8)
        | ~ memberP(sK56,X8)
        | sK58 = X8 )
    | ~ spl60_7 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f589,plain,
    ( spl60_7
    | spl60_1 ),
    inference(avatar_split_clause,[],[f517,f559,f587]) ).

fof(f590,plain,
    ( spl60_2
    | spl60_1 ),
    inference(avatar_split_clause,[],[f516,f559,f563]) ).

fof(f629,plain,
    ( memberP(sK55,sK58)
    | ~ ssItem(sK58)
    | ~ memberP(sK56,sK58)
    | ~ ssItem(sK57(sK58))
    | ~ memberP(sK56,sK57(sK58))
    | sK58 = sK57(sK58)
    | ~ spl60_7 ),
    inference(resolution,[],[f512,f588]) ).

fof(f630,plain,
    ( memberP(sK55,sK58)
    | ~ ssItem(sK58)
    | ~ memberP(sK56,sK58)
    | ~ memberP(sK56,sK57(sK58))
    | sK58 = sK57(sK58)
    | ~ spl60_7 ),
    inference(forward_subsumption_resolution,[],[f629,f510]) ).

fof(f631,plain,
    ( memberP(sK55,sK58)
    | ~ ssItem(sK58)
    | ~ memberP(sK56,sK58)
    | ~ memberP(sK56,sK57(sK58))
    | ~ spl60_7 ),
    inference(forward_subsumption_resolution,[],[f630,f511]) ).

fof(f643,plain,
    ( memberP(sK55,sK58)
    | ~ ssItem(sK58)
    | ~ memberP(sK56,sK58)
    | ~ spl60_7 ),
    inference(forward_subsumption_resolution,[],[f631,f513]) ).

fof(f649,plain,
    ( memberP(sK55,sK58)
    | ~ memberP(sK56,sK58)
    | ~ spl60_7 ),
    inference(forward_subsumption_resolution,[],[f643,f501]) ).

fof(f650,plain,
    ( memberP(sK55,sK58)
    | ~ spl60_2
    | ~ spl60_7 ),
    inference(forward_subsumption_resolution,[],[f649,f564]) ).

fof(f651,plain,
    ( spl60_1
    | ~ spl60_2
    | ~ spl60_7 ),
    inference(avatar_split_clause,[],[f650,f587,f563,f559]) ).

fof(f652,plain,
    ( ~ ssItem(sK58)
    | memberP(sK56,sK58)
    | ~ spl60_1 ),
    inference(resolution,[],[f560,f509]) ).

fof(f658,plain,
    ( memberP(sK56,sK58)
    | ~ spl60_1 ),
    inference(forward_subsumption_resolution,[],[f652,f501]) ).

fof(f659,plain,
    ( spl60_2
    | ~ spl60_1 ),
    inference(avatar_split_clause,[],[f658,f559,f563]) ).

fof(f673,plain,
    ( ~ memberP(sK55,sK58)
    | ~ ssItem(sK59)
    | sK58 = sK59
    | ~ memberP(sK56,sK59)
    | ~ ssItem(sK58)
    | ~ spl60_5 ),
    inference(resolution,[],[f508,f579]) ).

fof(f675,plain,
    ( ~ ssItem(sK59)
    | sK58 = sK59
    | ~ memberP(sK56,sK59)
    | ~ ssItem(sK58)
    | ~ spl60_1
    | ~ spl60_5 ),
    inference(forward_subsumption_resolution,[],[f673,f560]) ).

fof(f676,plain,
    ( sK58 = sK59
    | ~ memberP(sK56,sK59)
    | ~ ssItem(sK58)
    | ~ spl60_1
    | ~ spl60_3
    | ~ spl60_5 ),
    inference(forward_subsumption_resolution,[],[f675,f569]) ).

fof(f677,plain,
    ( ~ memberP(sK56,sK59)
    | ~ ssItem(sK58)
    | ~ spl60_1
    | ~ spl60_3
    | spl60_4
    | ~ spl60_5 ),
    inference(forward_subsumption_resolution,[],[f676,f574]) ).

fof(f678,plain,
    ( ~ ssItem(sK58)
    | ~ spl60_1
    | ~ spl60_3
    | spl60_4
    | ~ spl60_5
    | ~ spl60_6 ),
    inference(forward_subsumption_resolution,[],[f677,f584]) ).

fof(f679,plain,
    ( $false
    | ~ spl60_1
    | ~ spl60_3
    | spl60_4
    | ~ spl60_5
    | ~ spl60_6 ),
    inference(forward_subsumption_resolution,[],[f678,f501]) ).

fof(f680,plain,
    ( ~ spl60_1
    | ~ spl60_3
    | spl60_4
    | ~ spl60_5
    | ~ spl60_6 ),
    inference(avatar_contradiction_clause,[],[f679]) ).

cnf(s1,plain,
    ( ~ spl60_1
    | ~ spl60_2
    | spl60_3 ),
    inference(sat_conversion,[],[f570]) ).

cnf(s2,plain,
    ( ~ spl60_1
    | ~ spl60_2
    | ~ spl60_4 ),
    inference(sat_conversion,[],[f575]) ).

cnf(s3,plain,
    ( ~ spl60_1
    | ~ spl60_2
    | spl60_5 ),
    inference(sat_conversion,[],[f580]) ).

cnf(s4,plain,
    ( ~ spl60_1
    | ~ spl60_2
    | spl60_6 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s5,plain,
    ( spl60_1
    | spl60_7 ),
    inference(sat_conversion,[],[f589]) ).

cnf(s6,plain,
    ( spl60_1
    | spl60_2 ),
    inference(sat_conversion,[],[f590]) ).

cnf(s18,plain,
    ( spl60_1
    | ~ spl60_2
    | ~ spl60_7 ),
    inference(sat_conversion,[],[f651]) ).

cnf(s21,plain,
    ( ~ spl60_1
    | spl60_2 ),
    inference(sat_conversion,[],[f659]) ).

cnf(s23,plain,
    ( ~ spl60_1
    | ~ spl60_3
    | spl60_4
    | ~ spl60_5
    | ~ spl60_6 ),
    inference(sat_conversion,[],[f680]) ).

cnf(s28,plain,
    spl60_1,
    inference(rat,[],[s18,s5,s6]) ).

cnf(s29,plain,
    spl60_2,
    inference(rat,[],[s21,s28]) ).

cnf(s30,plain,
    spl60_6,
    inference(rat,[],[s4,s29,s28]) ).

cnf(s31,plain,
    spl60_5,
    inference(rat,[],[s3,s29,s28]) ).

cnf(s32,plain,
    ~ spl60_4,
    inference(rat,[],[s2,s28,s29]) ).

cnf(s33,plain,
    spl60_3,
    inference(rat,[],[s1,s28,s29]) ).

cnf(s34,plain,
    $false,
    inference(rat,[],[s23,s30,s31,s28,s32,s33]) ).

fof(f681,plain,
    $false,
    inference(avatar_sat_refutation,[],[s34]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC379+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18  % Computer : n011.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Mon Sep 28 09:22:00 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21  Running first-order model finding
% 0.09/0.21  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
% 0.20/0.27  % (3269163)Will run a generic schedule for satisfiability detection.
% 0.20/0.27  % (3269170)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1263401465:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.27  % (3269169)% WARNING: option uhcvi not known.
% 0.20/0.27  % (3269168)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1626493950_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.27  % (3269169)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=293543543:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.27  % (3269171)dis+10_1_sil=32000:sp=arity:random_seed=2836038272:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.27  % (3269172)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3328319766:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.27  % (3269173)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2210740765:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.27  % (3269174)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=948307415:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.27  % (3269171) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3269163-3269171"...
% 0.20/0.27  % (3269169) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3269163-3269169"...
% 0.20/0.27  % (3269170) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3269163-3269170"...
% 0.20/0.27  % (3269169)...printing done.
% 0.20/0.27  % (3269171)...printing done.
% 0.20/0.27  % (3269170)...printing done.
% 0.20/0.27  % (3269174) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3269163-3269174"...
% 0.20/0.27  % (3269171)Refutation found. Thanks to Tanya!
% 0.20/0.27  % SZS status Theorem for theBenchmark
% 0.20/0.27  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27  % (3269171)------------------------------
% 0.20/0.27  % (3269171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27  % (3269171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27  % (3269171)CaDiCaL version: 2.1.3
% 0.20/0.27  % (3269171)Termination reason: Refutation
% 0.20/0.27  % (3269171)Time elapsed: 0.009 s
% 0.20/0.27  % (3269171)Peak memory usage: 12 MB
% 0.20/0.27  % (3269171)Instructions burned: 12 (million)
% 0.20/0.27  % (3269163)Success in time 0.046 s
% 0.20/0.27  % Vampire exiting
%------------------------------------------------------------------------------