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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC242+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 : n019.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 01:05:13 PM UTC 2026

% Result   : Theorem 0.08s 0.26s
% Output   : Refutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   84 (  12 unt;   6 def)
%            Number of atoms       :  406 (  51 equ)
%            Maximal formula atoms :   26 (   4 avg)
%            Number of connectives :  580 ( 258   ~; 256   |;  50   &)
%                                         (   6 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   7 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-3 aty)
%            Number of variables   :   73 (   0 sgn  57   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ~ ssList(X3)
                  | X1 != X3
                  | X0 != X2
                  | nil = X0
                  | ? [X4] :
                      ( ssItem(X4)
                      & ? [X5] :
                          ( ssList(X5)
                          & ? [X6] :
                              ( ssList(X6)
                              & app(app(X5,cons(X4,nil)),X6) = X0
                              & ! [X7] :
                                  ( ~ ssItem(X7)
                                  | ~ memberP(X5,X7)
                                  | ~ memberP(X6,X7)
                                  | ~ lt(X4,X7)
                                  | leq(X4,X7) ) ) ) )
                  | ( nil != X2
                    & ! [X8] :
                        ( ssItem(X8)
                       => ! [X9] :
                            ( ssList(X9)
                           => ! [X10] :
                                ( ~ ssList(X10)
                                | app(app(X9,cons(X8,nil)),X10) != X2
                                | ? [X11] :
                                    ( ssItem(X11)
                                    & ~ leq(X8,X11)
                                    & memberP(X9,X11)
                                    & memberP(X10,X11)
                                    & lt(X8,X11) ) ) ) ) ) ) ) ) ),
    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
                    | nil = X0
                    | ? [X4] :
                        ( ssItem(X4)
                        & ? [X5] :
                            ( ssList(X5)
                            & ? [X6] :
                                ( ssList(X6)
                                & app(app(X5,cons(X4,nil)),X6) = X0
                                & ! [X7] :
                                    ( ~ ssItem(X7)
                                    | ~ memberP(X5,X7)
                                    | ~ memberP(X6,X7)
                                    | ~ lt(X4,X7)
                                    | leq(X4,X7) ) ) ) )
                    | ( nil != X2
                      & ! [X8] :
                          ( ssItem(X8)
                         => ! [X9] :
                              ( ssList(X9)
                             => ! [X10] :
                                  ( ~ ssList(X10)
                                  | app(app(X9,cons(X8,nil)),X10) != X2
                                  | ? [X11] :
                                      ( ssItem(X11)
                                      & ~ leq(X8,X11)
                                      & memberP(X9,X11)
                                      & memberP(X10,X11)
                                      & lt(X8,X11) ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f96]) ).

fof(f221,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ssList(X3)
                  & X1 = X3
                  & X0 = X2
                  & nil != X0
                  & ! [X4] :
                      ( ~ ssItem(X4)
                      | ! [X5] :
                          ( ~ ssList(X5)
                          | ! [X6] :
                              ( ~ ssList(X6)
                              | app(app(X5,cons(X4,nil)),X6) != X0
                              | ? [X7] :
                                  ( ssItem(X7)
                                  & memberP(X5,X7)
                                  & memberP(X6,X7)
                                  & lt(X4,X7)
                                  & ~ leq(X4,X7) ) ) ) )
                  & ( nil = X2
                    | ? [X8] :
                        ( ? [X9] :
                            ( ? [X10] :
                                ( ssList(X10)
                                & app(app(X9,cons(X8,nil)),X10) = X2
                                & ! [X11] :
                                    ( ~ ssItem(X11)
                                    | leq(X8,X11)
                                    | ~ memberP(X9,X11)
                                    | ~ memberP(X10,X11)
                                    | ~ lt(X8,X11) ) )
                            & ssList(X9) )
                        & ssItem(X8) ) ) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f295,plain,
    ( ssList(sK56)
    & sK54 = sK56
    & sK53 = sK55
    & nil != sK53
    & ! [X4] :
        ( ~ ssItem(X4)
        | ! [X5] :
            ( ~ ssList(X5)
            | ! [X6] :
                ( ~ ssList(X6)
                | app(app(X5,cons(X4,nil)),X6) != sK53
                | ( ssItem(sK57(X4,X5,X6))
                  & memberP(X5,sK57(X4,X5,X6))
                  & memberP(X6,sK57(X4,X5,X6))
                  & lt(X4,sK57(X4,X5,X6))
                  & ~ leq(X4,sK57(X4,X5,X6)) ) ) ) )
    & ( nil = sK55
      | ( ssList(sK60)
        & sK55 = app(app(sK59,cons(sK58,nil)),sK60)
        & ! [X11] :
            ( ~ ssItem(X11)
            | leq(sK58,X11)
            | ~ memberP(sK59,X11)
            | ~ memberP(sK60,X11)
            | ~ lt(sK58,X11) )
        & ssList(sK59)
        & ssItem(sK58) ) )
    & ssList(sK55)
    & ssList(sK54)
    & ssList(sK53) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57,sK58,sK59,sK60]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56),skolemize(X7,sK57(X4,X5,X6)),skolemize(X8,sK58),skolemize(X9,sK59),skolemize(X10,sK60)],[f221]) ).

fof(f498,plain,
    ( nil = sK55
    | ssItem(sK58) ),
    inference(cnf_transformation,[],[f295]) ).

fof(f499,plain,
    ( nil = sK55
    | ssList(sK59) ),
    inference(cnf_transformation,[],[f295]) ).

fof(f500,plain,
    ! [X11] :
      ( nil = sK55
      | ~ ssItem(X11)
      | leq(sK58,X11)
      | ~ memberP(sK59,X11)
      | ~ memberP(sK60,X11)
      | ~ lt(sK58,X11) ),
    inference(cnf_transformation,[],[f295]) ).

fof(f501,plain,
    ( nil = sK55
    | sK55 = app(app(sK59,cons(sK58,nil)),sK60) ),
    inference(cnf_transformation,[],[f295]) ).

fof(f502,plain,
    ( nil = sK55
    | ssList(sK60) ),
    inference(cnf_transformation,[],[f295]) ).

fof(f503,plain,
    ! [X6,X4,X5] :
      ( ~ ssItem(X4)
      | ~ ssList(X5)
      | ~ ssList(X6)
      | app(app(X5,cons(X4,nil)),X6) != sK53
      | ~ leq(X4,sK57(X4,X5,X6)) ),
    inference(cnf_transformation,[],[f295]) ).

fof(f504,plain,
    ! [X6,X4,X5] :
      ( ~ ssItem(X4)
      | ~ ssList(X5)
      | ~ ssList(X6)
      | app(app(X5,cons(X4,nil)),X6) != sK53
      | lt(X4,sK57(X4,X5,X6)) ),
    inference(cnf_transformation,[],[f295]) ).

fof(f505,plain,
    ! [X6,X4,X5] :
      ( ~ ssItem(X4)
      | ~ ssList(X5)
      | ~ ssList(X6)
      | app(app(X5,cons(X4,nil)),X6) != sK53
      | memberP(X6,sK57(X4,X5,X6)) ),
    inference(cnf_transformation,[],[f295]) ).

fof(f506,plain,
    ! [X6,X4,X5] :
      ( ~ ssItem(X4)
      | ~ ssList(X5)
      | ~ ssList(X6)
      | app(app(X5,cons(X4,nil)),X6) != sK53
      | memberP(X5,sK57(X4,X5,X6)) ),
    inference(cnf_transformation,[],[f295]) ).

fof(f507,plain,
    ! [X6,X4,X5] :
      ( ~ ssItem(X4)
      | ~ ssList(X5)
      | ~ ssList(X6)
      | app(app(X5,cons(X4,nil)),X6) != sK53
      | ssItem(sK57(X4,X5,X6)) ),
    inference(cnf_transformation,[],[f295]) ).

fof(f508,plain,
    nil != sK53,
    inference(cnf_transformation,[],[f295]) ).

fof(f509,plain,
    sK53 = sK55,
    inference(cnf_transformation,[],[f295]) ).

fof(f512,plain,
    nil != sK55,
    inference(definition_unfolding,[],[f508,f509]) ).

fof(f513,plain,
    ! [X6,X4,X5] :
      ( app(app(X5,cons(X4,nil)),X6) != sK55
      | ~ ssList(X5)
      | ~ ssList(X6)
      | ~ ssItem(X4)
      | ssItem(sK57(X4,X5,X6)) ),
    inference(definition_unfolding,[],[f507,f509]) ).

fof(f514,plain,
    ! [X6,X4,X5] :
      ( app(app(X5,cons(X4,nil)),X6) != sK55
      | ~ ssList(X5)
      | ~ ssList(X6)
      | ~ ssItem(X4)
      | memberP(X5,sK57(X4,X5,X6)) ),
    inference(definition_unfolding,[],[f506,f509]) ).

fof(f515,plain,
    ! [X6,X4,X5] :
      ( app(app(X5,cons(X4,nil)),X6) != sK55
      | ~ ssList(X5)
      | ~ ssList(X6)
      | ~ ssItem(X4)
      | memberP(X6,sK57(X4,X5,X6)) ),
    inference(definition_unfolding,[],[f505,f509]) ).

fof(f516,plain,
    ! [X6,X4,X5] :
      ( app(app(X5,cons(X4,nil)),X6) != sK55
      | ~ ssList(X5)
      | ~ ssList(X6)
      | ~ ssItem(X4)
      | lt(X4,sK57(X4,X5,X6)) ),
    inference(definition_unfolding,[],[f504,f509]) ).

fof(f517,plain,
    ! [X6,X4,X5] :
      ( app(app(X5,cons(X4,nil)),X6) != sK55
      | ~ ssList(X5)
      | ~ ssList(X6)
      | ~ ssItem(X4)
      | ~ leq(X4,sK57(X4,X5,X6)) ),
    inference(definition_unfolding,[],[f503,f509]) ).

fof(f555,definition,
    ( spl61_1
  <=> ssItem(sK58) ),
    introduced(definition,[new_symbols(definition,[spl61_1])],[avatar_definition]) ).

fof(f557,plain,
    ( ssItem(sK58)
    | ~ spl61_1 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f559,definition,
    ( spl61_2
  <=> nil = sK55 ),
    introduced(definition,[new_symbols(definition,[spl61_2])],[avatar_definition]) ).

fof(f562,plain,
    ( spl61_1
    | spl61_2 ),
    inference(avatar_split_clause,[],[f498,f559,f555]) ).

fof(f564,definition,
    ( spl61_3
  <=> ssList(sK59) ),
    introduced(definition,[new_symbols(definition,[spl61_3])],[avatar_definition]) ).

fof(f566,plain,
    ( ssList(sK59)
    | ~ spl61_3 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f567,plain,
    ( spl61_3
    | spl61_2 ),
    inference(avatar_split_clause,[],[f499,f559,f564]) ).

fof(f569,definition,
    ( spl61_4
  <=> ! [X11] :
        ( ~ ssItem(X11)
        | ~ lt(sK58,X11)
        | ~ memberP(sK60,X11)
        | ~ memberP(sK59,X11)
        | leq(sK58,X11) ) ),
    introduced(definition,[new_symbols(definition,[spl61_4])],[avatar_definition]) ).

fof(f570,plain,
    ( ! [X11] :
        ( ~ lt(sK58,X11)
        | ~ ssItem(X11)
        | ~ memberP(sK60,X11)
        | ~ memberP(sK59,X11)
        | leq(sK58,X11) )
    | ~ spl61_4 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f571,plain,
    ( spl61_4
    | spl61_2 ),
    inference(avatar_split_clause,[],[f500,f559,f569]) ).

fof(f573,definition,
    ( spl61_5
  <=> sK55 = app(app(sK59,cons(sK58,nil)),sK60) ),
    introduced(definition,[new_symbols(definition,[spl61_5])],[avatar_definition]) ).

fof(f575,plain,
    ( sK55 = app(app(sK59,cons(sK58,nil)),sK60)
    | ~ spl61_5 ),
    inference(avatar_component_clause,[],[f573]) ).

fof(f576,plain,
    ( spl61_5
    | spl61_2 ),
    inference(avatar_split_clause,[],[f501,f559,f573]) ).

fof(f578,definition,
    ( spl61_6
  <=> ssList(sK60) ),
    introduced(definition,[new_symbols(definition,[spl61_6])],[avatar_definition]) ).

fof(f580,plain,
    ( ssList(sK60)
    | ~ spl61_6 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f581,plain,
    ( spl61_6
    | spl61_2 ),
    inference(avatar_split_clause,[],[f502,f559,f578]) ).

fof(f582,plain,
    ~ spl61_2,
    inference(avatar_split_clause,[],[f512,f559]) ).

fof(f618,plain,
    ( sK55 != sK55
    | ~ ssList(sK59)
    | ~ ssList(sK60)
    | ~ ssItem(sK58)
    | ssItem(sK57(sK58,sK59,sK60))
    | ~ spl61_5 ),
    inference(superposition,[],[f513,f575]) ).

fof(f619,plain,
    ( ~ ssList(sK59)
    | ~ ssList(sK60)
    | ~ ssItem(sK58)
    | ssItem(sK57(sK58,sK59,sK60))
    | ~ spl61_5 ),
    inference(trivial_inequality_removal,[],[f618]) ).

fof(f620,plain,
    ( ~ ssList(sK60)
    | ~ ssItem(sK58)
    | ssItem(sK57(sK58,sK59,sK60))
    | ~ spl61_3
    | ~ spl61_5 ),
    inference(forward_subsumption_resolution,[],[f619,f566]) ).

fof(f621,plain,
    ( ~ ssItem(sK58)
    | ssItem(sK57(sK58,sK59,sK60))
    | ~ spl61_3
    | ~ spl61_5
    | ~ spl61_6 ),
    inference(forward_subsumption_resolution,[],[f620,f580]) ).

fof(f622,plain,
    ( ssItem(sK57(sK58,sK59,sK60))
    | ~ spl61_1
    | ~ spl61_3
    | ~ spl61_5
    | ~ spl61_6 ),
    inference(forward_subsumption_resolution,[],[f621,f557]) ).

fof(f623,plain,
    ( sK55 != sK55
    | ~ ssList(sK59)
    | ~ ssList(sK60)
    | ~ ssItem(sK58)
    | memberP(sK59,sK57(sK58,sK59,sK60))
    | ~ spl61_5 ),
    inference(superposition,[],[f514,f575]) ).

fof(f624,plain,
    ( ~ ssList(sK59)
    | ~ ssList(sK60)
    | ~ ssItem(sK58)
    | memberP(sK59,sK57(sK58,sK59,sK60))
    | ~ spl61_5 ),
    inference(trivial_inequality_removal,[],[f623]) ).

fof(f625,plain,
    ( ~ ssList(sK60)
    | ~ ssItem(sK58)
    | memberP(sK59,sK57(sK58,sK59,sK60))
    | ~ spl61_3
    | ~ spl61_5 ),
    inference(forward_subsumption_resolution,[],[f624,f566]) ).

fof(f626,plain,
    ( ~ ssItem(sK58)
    | memberP(sK59,sK57(sK58,sK59,sK60))
    | ~ spl61_3
    | ~ spl61_5
    | ~ spl61_6 ),
    inference(forward_subsumption_resolution,[],[f625,f580]) ).

fof(f627,plain,
    ( memberP(sK59,sK57(sK58,sK59,sK60))
    | ~ spl61_1
    | ~ spl61_3
    | ~ spl61_5
    | ~ spl61_6 ),
    inference(forward_subsumption_resolution,[],[f626,f557]) ).

fof(f628,plain,
    ( sK55 != sK55
    | ~ ssList(sK59)
    | ~ ssList(sK60)
    | ~ ssItem(sK58)
    | memberP(sK60,sK57(sK58,sK59,sK60))
    | ~ spl61_5 ),
    inference(superposition,[],[f515,f575]) ).

fof(f629,plain,
    ( ~ ssList(sK59)
    | ~ ssList(sK60)
    | ~ ssItem(sK58)
    | memberP(sK60,sK57(sK58,sK59,sK60))
    | ~ spl61_5 ),
    inference(trivial_inequality_removal,[],[f628]) ).

fof(f630,plain,
    ( ~ ssList(sK60)
    | ~ ssItem(sK58)
    | memberP(sK60,sK57(sK58,sK59,sK60))
    | ~ spl61_3
    | ~ spl61_5 ),
    inference(forward_subsumption_resolution,[],[f629,f566]) ).

fof(f631,plain,
    ( ~ ssItem(sK58)
    | memberP(sK60,sK57(sK58,sK59,sK60))
    | ~ spl61_3
    | ~ spl61_5
    | ~ spl61_6 ),
    inference(forward_subsumption_resolution,[],[f630,f580]) ).

fof(f632,plain,
    ( memberP(sK60,sK57(sK58,sK59,sK60))
    | ~ spl61_1
    | ~ spl61_3
    | ~ spl61_5
    | ~ spl61_6 ),
    inference(forward_subsumption_resolution,[],[f631,f557]) ).

fof(f633,plain,
    ( sK55 != sK55
    | ~ ssList(sK59)
    | ~ ssList(sK60)
    | ~ ssItem(sK58)
    | lt(sK58,sK57(sK58,sK59,sK60))
    | ~ spl61_5 ),
    inference(superposition,[],[f516,f575]) ).

fof(f634,plain,
    ( ~ ssList(sK59)
    | ~ ssList(sK60)
    | ~ ssItem(sK58)
    | lt(sK58,sK57(sK58,sK59,sK60))
    | ~ spl61_5 ),
    inference(trivial_inequality_removal,[],[f633]) ).

fof(f635,plain,
    ( ~ ssList(sK60)
    | ~ ssItem(sK58)
    | lt(sK58,sK57(sK58,sK59,sK60))
    | ~ spl61_3
    | ~ spl61_5 ),
    inference(forward_subsumption_resolution,[],[f634,f566]) ).

fof(f636,plain,
    ( ~ ssItem(sK58)
    | lt(sK58,sK57(sK58,sK59,sK60))
    | ~ spl61_3
    | ~ spl61_5
    | ~ spl61_6 ),
    inference(forward_subsumption_resolution,[],[f635,f580]) ).

fof(f637,plain,
    ( lt(sK58,sK57(sK58,sK59,sK60))
    | ~ spl61_1
    | ~ spl61_3
    | ~ spl61_5
    | ~ spl61_6 ),
    inference(forward_subsumption_resolution,[],[f636,f557]) ).

fof(f638,plain,
    ( ~ ssItem(sK57(sK58,sK59,sK60))
    | ~ memberP(sK60,sK57(sK58,sK59,sK60))
    | ~ memberP(sK59,sK57(sK58,sK59,sK60))
    | leq(sK58,sK57(sK58,sK59,sK60))
    | ~ spl61_1
    | ~ spl61_3
    | ~ spl61_4
    | ~ spl61_5
    | ~ spl61_6 ),
    inference(resolution,[],[f637,f570]) ).

fof(f639,plain,
    ( ~ memberP(sK60,sK57(sK58,sK59,sK60))
    | ~ memberP(sK59,sK57(sK58,sK59,sK60))
    | leq(sK58,sK57(sK58,sK59,sK60))
    | ~ spl61_1
    | ~ spl61_3
    | ~ spl61_4
    | ~ spl61_5
    | ~ spl61_6 ),
    inference(forward_subsumption_resolution,[],[f638,f622]) ).

fof(f640,plain,
    ( ~ memberP(sK59,sK57(sK58,sK59,sK60))
    | leq(sK58,sK57(sK58,sK59,sK60))
    | ~ spl61_1
    | ~ spl61_3
    | ~ spl61_4
    | ~ spl61_5
    | ~ spl61_6 ),
    inference(forward_subsumption_resolution,[],[f639,f632]) ).

fof(f641,plain,
    ( leq(sK58,sK57(sK58,sK59,sK60))
    | ~ spl61_1
    | ~ spl61_3
    | ~ spl61_4
    | ~ spl61_5
    | ~ spl61_6 ),
    inference(forward_subsumption_resolution,[],[f640,f627]) ).

fof(f642,plain,
    ( sK55 != sK55
    | ~ ssList(sK59)
    | ~ ssList(sK60)
    | ~ ssItem(sK58)
    | ~ leq(sK58,sK57(sK58,sK59,sK60))
    | ~ spl61_5 ),
    inference(superposition,[],[f517,f575]) ).

fof(f643,plain,
    ( ~ ssList(sK59)
    | ~ ssList(sK60)
    | ~ ssItem(sK58)
    | ~ leq(sK58,sK57(sK58,sK59,sK60))
    | ~ spl61_5 ),
    inference(trivial_inequality_removal,[],[f642]) ).

fof(f644,plain,
    ( ~ ssList(sK60)
    | ~ ssItem(sK58)
    | ~ leq(sK58,sK57(sK58,sK59,sK60))
    | ~ spl61_3
    | ~ spl61_5 ),
    inference(forward_subsumption_resolution,[],[f643,f566]) ).

fof(f645,plain,
    ( ~ ssItem(sK58)
    | ~ leq(sK58,sK57(sK58,sK59,sK60))
    | ~ spl61_3
    | ~ spl61_5
    | ~ spl61_6 ),
    inference(forward_subsumption_resolution,[],[f644,f580]) ).

fof(f646,plain,
    ( ~ leq(sK58,sK57(sK58,sK59,sK60))
    | ~ spl61_1
    | ~ spl61_3
    | ~ spl61_5
    | ~ spl61_6 ),
    inference(forward_subsumption_resolution,[],[f645,f557]) ).

fof(f647,plain,
    ( $false
    | ~ spl61_1
    | ~ spl61_3
    | ~ spl61_4
    | ~ spl61_5
    | ~ spl61_6 ),
    inference(forward_subsumption_resolution,[],[f641,f646]) ).

fof(f648,plain,
    ( ~ spl61_1
    | ~ spl61_3
    | ~ spl61_4
    | ~ spl61_5
    | ~ spl61_6 ),
    inference(avatar_contradiction_clause,[],[f647]) ).

cnf(s1,plain,
    ( spl61_1
    | spl61_2 ),
    inference(sat_conversion,[],[f562]) ).

cnf(s2,plain,
    ( spl61_2
    | spl61_3 ),
    inference(sat_conversion,[],[f567]) ).

cnf(s3,plain,
    ( spl61_2
    | spl61_4 ),
    inference(sat_conversion,[],[f571]) ).

cnf(s4,plain,
    ( spl61_2
    | spl61_5 ),
    inference(sat_conversion,[],[f576]) ).

cnf(s5,plain,
    ( spl61_2
    | spl61_6 ),
    inference(sat_conversion,[],[f581]) ).

cnf(s6,plain,
    ~ spl61_2,
    inference(sat_conversion,[],[f582]) ).

cnf(s16,plain,
    ( ~ spl61_1
    | ~ spl61_3
    | ~ spl61_4
    | ~ spl61_5
    | ~ spl61_6 ),
    inference(sat_conversion,[],[f648]) ).

cnf(s21,plain,
    spl61_6,
    inference(rat,[],[s5,s6]) ).

cnf(s22,plain,
    spl61_5,
    inference(rat,[],[s4,s6]) ).

cnf(s23,plain,
    spl61_4,
    inference(rat,[],[s3,s6]) ).

cnf(s24,plain,
    spl61_3,
    inference(rat,[],[s2,s6]) ).

cnf(s25,plain,
    ~ spl61_1,
    inference(rat,[],[s16,s21,s22,s23,s24]) ).

cnf(s26,plain,
    $false,
    inference(rat,[],[s1,s6,s25]) ).

fof(f649,plain,
    $false,
    inference(avatar_sat_refutation,[],[s26]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC242+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18  % Computer : n019.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 08:38:48 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21  Running first-order model finding
% 0.08/0.21  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
% 0.08/0.26  % (3856374)Will run a generic schedule for satisfiability detection.
% 0.08/0.26  % (3856383)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=147958007:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.26  % (3856379)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1927490281_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.26  % (3856381)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=299198123:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.26  % (3856382)dis+10_1_sil=32000:sp=arity:random_seed=3687303976:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.26  % (3856384)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=333722648:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.26  % (3856385)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1191340675:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.26  % (3856380)% WARNING: option uhcvi not known.
% 0.08/0.26  % (3856382) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3856374-3856382"...
% 0.08/0.26  % (3856380)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2502106882:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.26  % (3856382)...printing done.
% 0.08/0.26  % (3856385) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3856374-3856385"...
% 0.08/0.26  % (3856382)Refutation found. Thanks to Tanya!
% 0.08/0.26  % SZS status Theorem for theBenchmark
% 0.08/0.26  % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.27  % (3856382)------------------------------
% 0.08/0.27  % (3856382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.27  % (3856382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.27  % (3856382)CaDiCaL version: 2.1.3
% 0.08/0.27  % (3856382)Termination reason: Refutation
% 0.08/0.27  % (3856382)Time elapsed: 0.008 s
% 0.08/0.27  % (3856382)Peak memory usage: 12 MB
% 0.08/0.27  % (3856382)Instructions burned: 13 (million)
% 0.08/0.27  % (3856374)Success in time 0.042 s
% 0.08/0.27  % Vampire exiting
%------------------------------------------------------------------------------