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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC153+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 : n016.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 01:04:53 PM UTC 2026

% Result   : Theorem 0.13s 0.45s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   76 (  18 unt;   5 def)
%            Number of atoms       :  402 (  29 equ)
%            Maximal formula atoms :   30 (   5 avg)
%            Number of connectives :  558 ( 232   ~; 225   |;  76   &)
%                                         (   5 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   6 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   6 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  11 con; 0-2 aty)
%            Number of variables   :  103 (   0 sgn  71   !;  32   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( X3 != X1
                    | X2 != X0
                    | ? [X4] :
                        ( ssItem(X4)
                        & ? [X5] :
                            ( ssItem(X5)
                            & ? [X6] :
                                ( ssList(X6)
                                & ? [X7] :
                                    ( ssList(X7)
                                    & ? [X8] :
                                        ( ssList(X8)
                                        & app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = X2
                                        & leq(X5,X4)
                                        & ( ~ leq(X4,X5)
                                          | ? [X9] :
                                              ( ssItem(X9)
                                              & memberP(X7,X9)
                                              & ( ~ leq(X4,X9)
                                                | ~ leq(X9,X5) ) ) ) ) ) ) ) )
                    | ! [X10] :
                        ( ssItem(X10)
                       => ! [X11] :
                            ( ssItem(X11)
                           => ! [X12] :
                                ( ssList(X12)
                               => ! [X13] :
                                    ( ssList(X13)
                                   => ! [X14] :
                                        ( ssList(X14)
                                       => ( app(app(app(app(X12,cons(X10,nil)),X13),cons(X11,nil)),X14) != X0
                                          | ~ leq(X11,X10)
                                          | ( ! [X15] :
                                                ( ssItem(X15)
                                               => ( ~ memberP(X13,X15)
                                                  | ( leq(X15,X11)
                                                    & leq(X10,X15) ) ) )
                                            & leq(X10,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)
                   => ( X3 != X1
                      | X2 != X0
                      | ? [X4] :
                          ( ssItem(X4)
                          & ? [X5] :
                              ( ssItem(X5)
                              & ? [X6] :
                                  ( ssList(X6)
                                  & ? [X7] :
                                      ( ssList(X7)
                                      & ? [X8] :
                                          ( ssList(X8)
                                          & app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = X2
                                          & leq(X5,X4)
                                          & ( ~ leq(X4,X5)
                                            | ? [X9] :
                                                ( ssItem(X9)
                                                & memberP(X7,X9)
                                                & ( ~ leq(X4,X9)
                                                  | ~ leq(X9,X5) ) ) ) ) ) ) ) )
                      | ! [X10] :
                          ( ssItem(X10)
                         => ! [X11] :
                              ( ssItem(X11)
                             => ! [X12] :
                                  ( ssList(X12)
                                 => ! [X13] :
                                      ( ssList(X13)
                                     => ! [X14] :
                                          ( ssList(X14)
                                         => ( app(app(app(app(X12,cons(X10,nil)),X13),cons(X11,nil)),X14) != X0
                                            | ~ leq(X11,X10)
                                            | ( ! [X15] :
                                                  ( ssItem(X15)
                                                 => ( ~ memberP(X13,X15)
                                                    | ( leq(X15,X11)
                                                      & leq(X10,X15) ) ) )
                                              & leq(X10,X11) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f96]) ).

fof(f221,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & X0 = X2
                  & ! [X4] :
                      ( ~ ssItem(X4)
                      | ! [X5] :
                          ( ~ ssItem(X5)
                          | ! [X6] :
                              ( ~ ssList(X6)
                              | ! [X7] :
                                  ( ~ ssList(X7)
                                  | ! [X8] :
                                      ( ~ ssList(X8)
                                      | app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != X2
                                      | ~ leq(X5,X4)
                                      | ( leq(X4,X5)
                                        & ! [X9] :
                                            ( ~ ssItem(X9)
                                            | ~ memberP(X7,X9)
                                            | ( leq(X4,X9)
                                              & leq(X9,X5) ) ) ) ) ) ) ) )
                  & ? [X10] :
                      ( ? [X11] :
                          ( ? [X12] :
                              ( ? [X13] :
                                  ( ? [X14] :
                                      ( app(app(app(app(X12,cons(X10,nil)),X13),cons(X11,nil)),X14) = X0
                                      & leq(X11,X10)
                                      & ( ? [X15] :
                                            ( memberP(X13,X15)
                                            & ( ~ leq(X15,X11)
                                              | ~ leq(X10,X15) )
                                            & ssItem(X15) )
                                        | ~ leq(X10,X11) )
                                      & ssList(X14) )
                                  & ssList(X13) )
                              & ssList(X12) )
                          & ssItem(X11) )
                      & ssItem(X10) )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f222,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & X0 = X2
                  & ! [X4] :
                      ( ~ ssItem(X4)
                      | ! [X5] :
                          ( ~ ssItem(X5)
                          | ! [X6] :
                              ( ~ ssList(X6)
                              | ! [X7] :
                                  ( ~ ssList(X7)
                                  | ! [X8] :
                                      ( ~ ssList(X8)
                                      | app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != X2
                                      | ~ leq(X5,X4)
                                      | ( leq(X4,X5)
                                        & ! [X9] :
                                            ( ~ ssItem(X9)
                                            | ~ memberP(X7,X9)
                                            | ( leq(X4,X9)
                                              & leq(X9,X5) ) ) ) ) ) ) ) )
                  & ? [X10] :
                      ( ? [X11] :
                          ( ? [X12] :
                              ( ? [X13] :
                                  ( ? [X14] :
                                      ( app(app(app(app(X12,cons(X10,nil)),X13),cons(X11,nil)),X14) = X0
                                      & leq(X11,X10)
                                      & ( ? [X15] :
                                            ( memberP(X13,X15)
                                            & ( ~ leq(X15,X11)
                                              | ~ leq(X10,X15) )
                                            & ssItem(X15) )
                                        | ~ leq(X10,X11) )
                                      & ssList(X14) )
                                  & ssList(X13) )
                              & ssList(X12) )
                          & ssItem(X11) )
                      & ssItem(X10) )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f221]) ).

fof(f296,plain,
    ( sK54 = sK56
    & sK53 = sK55
    & ! [X4] :
        ( ~ ssItem(X4)
        | ! [X5] :
            ( ~ ssItem(X5)
            | ! [X6] :
                ( ~ ssList(X6)
                | ! [X7] :
                    ( ~ ssList(X7)
                    | ! [X8] :
                        ( ~ ssList(X8)
                        | app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != sK55
                        | ~ leq(X5,X4)
                        | ( leq(X4,X5)
                          & ! [X9] :
                              ( ~ ssItem(X9)
                              | ~ memberP(X7,X9)
                              | ( leq(X4,X9)
                                & leq(X9,X5) ) ) ) ) ) ) ) )
    & sK53 = app(app(app(app(sK59,cons(sK57,nil)),sK60),cons(sK58,nil)),sK61)
    & leq(sK58,sK57)
    & ( ( memberP(sK60,sK62)
        & ( ~ leq(sK62,sK58)
          | ~ leq(sK57,sK62) )
        & ssItem(sK62) )
      | ~ leq(sK57,sK58) )
    & ssList(sK61)
    & ssList(sK60)
    & ssList(sK59)
    & ssItem(sK58)
    & ssItem(sK57)
    & ssList(sK56)
    & ssList(sK55)
    & ssList(sK54)
    & ssList(sK53) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57,sK58,sK59,sK60,sK61,sK62]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56),skolemize(X10,sK57),skolemize(X11,sK58),skolemize(X12,sK59),skolemize(X13,sK60),skolemize(X14,sK61),skolemize(X15,sK62)],[f222]) ).

fof(f500,plain,
    ssItem(sK57),
    inference(cnf_transformation,[],[f296]) ).

fof(f501,plain,
    ssItem(sK58),
    inference(cnf_transformation,[],[f296]) ).

fof(f502,plain,
    ssList(sK59),
    inference(cnf_transformation,[],[f296]) ).

fof(f503,plain,
    ssList(sK60),
    inference(cnf_transformation,[],[f296]) ).

fof(f504,plain,
    ssList(sK61),
    inference(cnf_transformation,[],[f296]) ).

fof(f505,plain,
    ( ssItem(sK62)
    | ~ leq(sK57,sK58) ),
    inference(cnf_transformation,[],[f296]) ).

fof(f506,plain,
    ( ~ leq(sK62,sK58)
    | ~ leq(sK57,sK62)
    | ~ leq(sK57,sK58) ),
    inference(cnf_transformation,[],[f296]) ).

fof(f507,plain,
    ( memberP(sK60,sK62)
    | ~ leq(sK57,sK58) ),
    inference(cnf_transformation,[],[f296]) ).

fof(f508,plain,
    leq(sK58,sK57),
    inference(cnf_transformation,[],[f296]) ).

fof(f509,plain,
    sK53 = app(app(app(app(sK59,cons(sK57,nil)),sK60),cons(sK58,nil)),sK61),
    inference(cnf_transformation,[],[f296]) ).

fof(f510,plain,
    ! [X8,X6,X9,X7,X4,X5] :
      ( app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != sK55
      | ~ ssItem(X5)
      | ~ ssList(X6)
      | ~ ssList(X7)
      | ~ ssList(X8)
      | ~ ssItem(X4)
      | ~ leq(X5,X4)
      | ~ ssItem(X9)
      | ~ memberP(X7,X9)
      | leq(X9,X5) ),
    inference(cnf_transformation,[],[f296]) ).

fof(f511,plain,
    ! [X8,X6,X9,X7,X4,X5] :
      ( app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != sK55
      | ~ ssItem(X5)
      | ~ ssList(X6)
      | ~ ssList(X7)
      | ~ ssList(X8)
      | ~ ssItem(X4)
      | ~ leq(X5,X4)
      | ~ ssItem(X9)
      | ~ memberP(X7,X9)
      | leq(X4,X9) ),
    inference(cnf_transformation,[],[f296]) ).

fof(f512,plain,
    ! [X8,X6,X7,X4,X5] :
      ( app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != sK55
      | ~ ssItem(X5)
      | ~ ssList(X6)
      | ~ ssList(X7)
      | ~ ssList(X8)
      | ~ ssItem(X4)
      | ~ leq(X5,X4)
      | leq(X4,X5) ),
    inference(cnf_transformation,[],[f296]) ).

fof(f513,plain,
    sK53 = sK55,
    inference(cnf_transformation,[],[f296]) ).

fof(f515,plain,
    sK55 = app(app(app(app(sK59,cons(sK57,nil)),sK60),cons(sK58,nil)),sK61),
    inference(definition_unfolding,[],[f509,f513]) ).

fof(f553,definition,
    ( spl63_1
  <=> leq(sK57,sK58) ),
    introduced(definition,[new_symbols(definition,[spl63_1])],[avatar_definition]) ).

fof(f557,definition,
    ( spl63_2
  <=> ssItem(sK62) ),
    introduced(definition,[new_symbols(definition,[spl63_2])],[avatar_definition]) ).

fof(f559,plain,
    ( ssItem(sK62)
    | ~ spl63_2 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f560,plain,
    ( ~ spl63_1
    | spl63_2 ),
    inference(avatar_split_clause,[],[f505,f557,f553]) ).

fof(f562,definition,
    ( spl63_3
  <=> leq(sK57,sK62) ),
    introduced(definition,[new_symbols(definition,[spl63_3])],[avatar_definition]) ).

fof(f564,plain,
    ( ~ leq(sK57,sK62)
    | spl63_3 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f566,definition,
    ( spl63_4
  <=> leq(sK62,sK58) ),
    introduced(definition,[new_symbols(definition,[spl63_4])],[avatar_definition]) ).

fof(f569,plain,
    ( ~ spl63_1
    | ~ spl63_3
    | ~ spl63_4 ),
    inference(avatar_split_clause,[],[f506,f566,f562,f553]) ).

fof(f571,definition,
    ( spl63_5
  <=> memberP(sK60,sK62) ),
    introduced(definition,[new_symbols(definition,[spl63_5])],[avatar_definition]) ).

fof(f573,plain,
    ( memberP(sK60,sK62)
    | ~ spl63_5 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f574,plain,
    ( ~ spl63_1
    | spl63_5 ),
    inference(avatar_split_clause,[],[f507,f571,f553]) ).

fof(f611,plain,
    ( sK55 != sK55
    | ~ ssItem(sK58)
    | ~ ssList(sK59)
    | ~ ssList(sK60)
    | ~ ssList(sK61)
    | ~ ssItem(sK57)
    | ~ leq(sK58,sK57)
    | leq(sK57,sK58) ),
    inference(superposition,[],[f512,f515]) ).

fof(f612,plain,
    ( ~ ssItem(sK58)
    | ~ ssList(sK59)
    | ~ ssList(sK60)
    | ~ ssList(sK61)
    | ~ ssItem(sK57)
    | ~ leq(sK58,sK57)
    | leq(sK57,sK58) ),
    inference(trivial_inequality_removal,[],[f611]) ).

fof(f613,plain,
    ( ~ ssList(sK59)
    | ~ ssList(sK60)
    | ~ ssList(sK61)
    | ~ ssItem(sK57)
    | ~ leq(sK58,sK57)
    | leq(sK57,sK58) ),
    inference(forward_subsumption_resolution,[],[f612,f501]) ).

fof(f615,plain,
    ( ~ ssList(sK60)
    | ~ ssList(sK61)
    | ~ ssItem(sK57)
    | ~ leq(sK58,sK57)
    | leq(sK57,sK58) ),
    inference(forward_subsumption_resolution,[],[f613,f502]) ).

fof(f617,plain,
    ( ~ ssList(sK61)
    | ~ ssItem(sK57)
    | ~ leq(sK58,sK57)
    | leq(sK57,sK58) ),
    inference(forward_subsumption_resolution,[],[f615,f503]) ).

fof(f626,plain,
    ( ~ ssItem(sK57)
    | ~ leq(sK58,sK57)
    | leq(sK57,sK58) ),
    inference(forward_subsumption_resolution,[],[f617,f504]) ).

fof(f627,plain,
    ( ~ leq(sK58,sK57)
    | leq(sK57,sK58) ),
    inference(forward_subsumption_resolution,[],[f626,f500]) ).

fof(f628,plain,
    leq(sK57,sK58),
    inference(forward_subsumption_resolution,[],[f627,f508]) ).

fof(f631,plain,
    spl63_1,
    inference(avatar_split_clause,[],[f628,f553]) ).

fof(f633,plain,
    ! [X0] :
      ( sK55 != sK55
      | ~ ssItem(sK58)
      | ~ ssList(sK59)
      | ~ ssList(sK60)
      | ~ ssList(sK61)
      | ~ ssItem(sK57)
      | ~ leq(sK58,sK57)
      | ~ ssItem(X0)
      | ~ memberP(sK60,X0)
      | leq(X0,sK58) ),
    inference(superposition,[],[f510,f515]) ).

fof(f634,plain,
    ! [X0] :
      ( ~ ssItem(sK58)
      | ~ ssList(sK59)
      | ~ ssList(sK60)
      | ~ ssList(sK61)
      | ~ ssItem(sK57)
      | ~ leq(sK58,sK57)
      | ~ ssItem(X0)
      | ~ memberP(sK60,X0)
      | leq(X0,sK58) ),
    inference(trivial_inequality_removal,[],[f633]) ).

fof(f635,plain,
    ! [X0] :
      ( ~ ssList(sK59)
      | ~ ssList(sK60)
      | ~ ssList(sK61)
      | ~ ssItem(sK57)
      | ~ leq(sK58,sK57)
      | ~ ssItem(X0)
      | ~ memberP(sK60,X0)
      | leq(X0,sK58) ),
    inference(forward_subsumption_resolution,[],[f634,f501]) ).

fof(f636,plain,
    ! [X0] :
      ( ~ ssList(sK60)
      | ~ ssList(sK61)
      | ~ ssItem(sK57)
      | ~ leq(sK58,sK57)
      | ~ ssItem(X0)
      | ~ memberP(sK60,X0)
      | leq(X0,sK58) ),
    inference(forward_subsumption_resolution,[],[f635,f502]) ).

fof(f637,plain,
    ! [X0] :
      ( ~ ssList(sK61)
      | ~ ssItem(sK57)
      | ~ leq(sK58,sK57)
      | ~ ssItem(X0)
      | ~ memberP(sK60,X0)
      | leq(X0,sK58) ),
    inference(forward_subsumption_resolution,[],[f636,f503]) ).

fof(f638,plain,
    ! [X0] :
      ( ~ ssItem(sK57)
      | ~ leq(sK58,sK57)
      | ~ ssItem(X0)
      | ~ memberP(sK60,X0)
      | leq(X0,sK58) ),
    inference(forward_subsumption_resolution,[],[f637,f504]) ).

fof(f639,plain,
    ! [X0] :
      ( ~ leq(sK58,sK57)
      | ~ ssItem(X0)
      | ~ memberP(sK60,X0)
      | leq(X0,sK58) ),
    inference(forward_subsumption_resolution,[],[f638,f500]) ).

fof(f640,plain,
    ! [X0] :
      ( ~ memberP(sK60,X0)
      | ~ ssItem(X0)
      | leq(X0,sK58) ),
    inference(forward_subsumption_resolution,[],[f639,f508]) ).

fof(f641,plain,
    ( ~ ssItem(sK62)
    | leq(sK62,sK58)
    | ~ spl63_5 ),
    inference(resolution,[],[f640,f573]) ).

fof(f642,plain,
    ( leq(sK62,sK58)
    | ~ spl63_2
    | ~ spl63_5 ),
    inference(forward_subsumption_resolution,[],[f641,f559]) ).

fof(f643,plain,
    ( spl63_4
    | ~ spl63_2
    | ~ spl63_5 ),
    inference(avatar_split_clause,[],[f642,f571,f557,f566]) ).

fof(f645,plain,
    ! [X0] :
      ( sK55 != sK55
      | ~ ssItem(sK58)
      | ~ ssList(sK59)
      | ~ ssList(sK60)
      | ~ ssList(sK61)
      | ~ ssItem(sK57)
      | ~ leq(sK58,sK57)
      | ~ ssItem(X0)
      | ~ memberP(sK60,X0)
      | leq(sK57,X0) ),
    inference(superposition,[],[f511,f515]) ).

fof(f646,plain,
    ! [X0] :
      ( ~ ssItem(sK58)
      | ~ ssList(sK59)
      | ~ ssList(sK60)
      | ~ ssList(sK61)
      | ~ ssItem(sK57)
      | ~ leq(sK58,sK57)
      | ~ ssItem(X0)
      | ~ memberP(sK60,X0)
      | leq(sK57,X0) ),
    inference(trivial_inequality_removal,[],[f645]) ).

fof(f647,plain,
    ! [X0] :
      ( ~ ssList(sK59)
      | ~ ssList(sK60)
      | ~ ssList(sK61)
      | ~ ssItem(sK57)
      | ~ leq(sK58,sK57)
      | ~ ssItem(X0)
      | ~ memberP(sK60,X0)
      | leq(sK57,X0) ),
    inference(forward_subsumption_resolution,[],[f646,f501]) ).

fof(f648,plain,
    ! [X0] :
      ( ~ ssList(sK60)
      | ~ ssList(sK61)
      | ~ ssItem(sK57)
      | ~ leq(sK58,sK57)
      | ~ ssItem(X0)
      | ~ memberP(sK60,X0)
      | leq(sK57,X0) ),
    inference(forward_subsumption_resolution,[],[f647,f502]) ).

fof(f649,plain,
    ! [X0] :
      ( ~ ssList(sK61)
      | ~ ssItem(sK57)
      | ~ leq(sK58,sK57)
      | ~ ssItem(X0)
      | ~ memberP(sK60,X0)
      | leq(sK57,X0) ),
    inference(forward_subsumption_resolution,[],[f648,f503]) ).

fof(f650,plain,
    ! [X0] :
      ( ~ ssItem(sK57)
      | ~ leq(sK58,sK57)
      | ~ ssItem(X0)
      | ~ memberP(sK60,X0)
      | leq(sK57,X0) ),
    inference(forward_subsumption_resolution,[],[f649,f504]) ).

fof(f651,plain,
    ! [X0] :
      ( ~ leq(sK58,sK57)
      | ~ ssItem(X0)
      | ~ memberP(sK60,X0)
      | leq(sK57,X0) ),
    inference(forward_subsumption_resolution,[],[f650,f500]) ).

fof(f652,plain,
    ! [X0] :
      ( ~ memberP(sK60,X0)
      | ~ ssItem(X0)
      | leq(sK57,X0) ),
    inference(forward_subsumption_resolution,[],[f651,f508]) ).

fof(f692,plain,
    ( ~ ssItem(sK62)
    | leq(sK57,sK62)
    | ~ spl63_5 ),
    inference(resolution,[],[f652,f573]) ).

fof(f693,plain,
    ( leq(sK57,sK62)
    | ~ spl63_2
    | ~ spl63_5 ),
    inference(forward_subsumption_resolution,[],[f692,f559]) ).

fof(f694,plain,
    ( $false
    | ~ spl63_2
    | spl63_3
    | ~ spl63_5 ),
    inference(forward_subsumption_resolution,[],[f693,f564]) ).

fof(f695,plain,
    ( ~ spl63_2
    | spl63_3
    | ~ spl63_5 ),
    inference(avatar_contradiction_clause,[],[f694]) ).

cnf(s1,plain,
    ( ~ spl63_1
    | spl63_2 ),
    inference(sat_conversion,[],[f560]) ).

cnf(s2,plain,
    ( ~ spl63_1
    | ~ spl63_3
    | ~ spl63_4 ),
    inference(sat_conversion,[],[f569]) ).

cnf(s3,plain,
    ( ~ spl63_1
    | spl63_5 ),
    inference(sat_conversion,[],[f574]) ).

cnf(s15,plain,
    spl63_1,
    inference(sat_conversion,[],[f631]) ).

cnf(s16,plain,
    ( ~ spl63_2
    | spl63_4
    | ~ spl63_5 ),
    inference(sat_conversion,[],[f643]) ).

cnf(s17,plain,
    ( ~ spl63_2
    | spl63_3
    | ~ spl63_5 ),
    inference(sat_conversion,[],[f695]) ).

cnf(s22,plain,
    spl63_5,
    inference(rat,[],[s3,s15]) ).

cnf(s23,plain,
    ( ~ spl63_3
    | ~ spl63_4 ),
    inference(rat,[],[s2,s15]) ).

cnf(s24,plain,
    spl63_2,
    inference(rat,[],[s1,s15]) ).

cnf(s25,plain,
    spl63_3,
    inference(rat,[],[s17,s22,s24]) ).

cnf(s26,plain,
    spl63_4,
    inference(rat,[],[s16,s22,s24]) ).

cnf(s27,plain,
    $false,
    inference(rat,[],[s23,s26,s25]) ).

fof(f696,plain,
    $false,
    inference(avatar_sat_refutation,[],[s27]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC153+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36  % Computer : n016.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 28 08:15:33 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39  Running first-order model finding
% 0.13/0.39  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
% 0.13/0.45  % (3471064)Will run a generic schedule for satisfiability detection.
% 0.13/0.45  % (3471074)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3372012495:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.13/0.45  % (3471069)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3887184361_2999 on theBenchmark for (2999ds/0Mi)
% 0.13/0.45  % (3471071)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1171981084:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.13/0.45  % (3471072)dis+10_1_sil=32000:sp=arity:random_seed=2903265893:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.13/0.45  % (3471073)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2790649073:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.13/0.45  % (3471075)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2815240531:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.13/0.45  % (3471070)% WARNING: option uhcvi not known.
% 0.13/0.45  % (3471070)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2899588314:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.13/0.45  % (3471072) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3471064-3471072"...
% 0.13/0.45  % (3471072)...printing done.
% 0.13/0.45  % (3471075) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3471064-3471075"...
% 0.13/0.45  % (3471071) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3471064-3471071"...
% 0.13/0.45  % (3471072)Refutation found. Thanks to Tanya!
% 0.13/0.45  % SZS status Theorem for theBenchmark
% 0.13/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.45  % (3471072)------------------------------
% 0.13/0.45  % (3471072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.45  % (3471072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.45  % (3471072)CaDiCaL version: 2.1.3
% 0.13/0.45  % (3471072)Termination reason: Refutation
% 0.13/0.45  % (3471072)Time elapsed: 0.010 s
% 0.13/0.45  % (3471072)Peak memory usage: 13 MB
% 0.13/0.45  % (3471072)Instructions burned: 15 (million)
% 0.13/0.45  % (3471064)Success in time 0.05 s
% 0.13/0.45  % Vampire exiting
%------------------------------------------------------------------------------