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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWC187+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% 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 01:02:51 PM UTC 2026

% Result   : Theorem 5.49s 1.59s
% Output   : Refutation 7.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  252 (  39 unt;  20 def)
%            Number of atoms       :  981 ( 182 equ)
%            Maximal formula atoms :   17 (   3 avg)
%            Number of connectives : 1275 ( 546   ~; 592   |;  73   &)
%                                         (  24 <=>;  40  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   21 (  19 usr;  17 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  13 con; 0-2 aty)
%            Number of variables   :  166 (   0 sgn 142   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( memberP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( ssList(X3)
                    & app(X2,cons(X1,X3)) = X0 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

fof(f16,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ssList(cons(X1,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).

fof(f21,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => nil != cons(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).

fof(f24,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ssList(tl(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).

fof(f25,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => tl(cons(X1,X0)) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).

fof(f26,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ssList(app(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).

fof(f36,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( memberP(app(X1,X2),X0)
              <=> ( memberP(X1,X0)
                  | memberP(X2,X0) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).

fof(f37,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( memberP(cons(X1,X2),X0)
              <=> ( X0 = X1
                  | memberP(X2,X0) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax37) ).

fof(f38,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ~ memberP(nil,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax38) ).

fof(f83,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( nil = app(X0,X1)
          <=> ( nil = X1
              & nil = X0 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax83) ).

fof(f86,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( nil != X0
           => tl(app(X0,X1)) = app(tl(X0),X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax86) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( X1 != X3
                    | X0 != X2
                    | ! [X4] :
                        ( ssItem(X4)
                       => ! [X5] :
                            ( ssList(X5)
                           => ! [X6] :
                                ( ssList(X6)
                               => ( app(app(X5,cons(X4,nil)),X6) != X0
                                  | ( ~ memberP(X5,X4)
                                    & ~ memberP(X6,X4) ) ) ) ) )
                    | ( ! [X7] :
                          ( ssItem(X7)
                         => ( cons(X7,nil) != X2
                            | ~ memberP(X3,X7) ) )
                      & ( nil != X3
                        | nil != X2 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/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)
                         => ! [X5] :
                              ( ssList(X5)
                             => ! [X6] :
                                  ( ssList(X6)
                                 => ( app(app(X5,cons(X4,nil)),X6) != X0
                                    | ( ~ memberP(X5,X4)
                                      & ~ memberP(X6,X4) ) ) ) ) )
                      | ( ! [X7] :
                            ( ssItem(X7)
                           => ( cons(X7,nil) != X2
                              | ~ memberP(X3,X7) ) )
                        & ( nil != X3
                          | nil != X2 ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f96]) ).

fof(f99,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( memberP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( ssList(X3)
                    & app(X2,cons(X1,X3)) = X0 ) ) )
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f119,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(cons(X1,X0))
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f125,plain,
    ! [X0] :
      ( ! [X1] :
          ( nil != cons(X1,X0)
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f129,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f130,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f129]) ).

fof(f131,plain,
    ! [X0] :
      ( ! [X1] :
          ( tl(cons(X1,X0)) = X0
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f132,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(app(X0,X1))
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f146,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( memberP(app(X1,X2),X0)
              <=> ( memberP(X1,X0)
                  | memberP(X2,X0) ) )
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f147,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( memberP(cons(X1,X2),X0)
              <=> ( X0 = X1
                  | memberP(X2,X0) ) )
              | ~ ssList(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f148,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f200,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( nil = app(X0,X1)
          <=> ( nil = X1
              & nil = X0 ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f204,plain,
    ! [X0] :
      ( ! [X1] :
          ( tl(app(X0,X1)) = app(tl(X0),X1)
          | nil = X0
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f86]) ).

fof(f205,plain,
    ! [X0] :
      ( ! [X1] :
          ( tl(app(X0,X1)) = app(tl(X0),X1)
          | nil = X0
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f204]) ).

fof(f221,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & X0 = X2
                  & ? [X4] :
                      ( ? [X5] :
                          ( ? [X6] :
                              ( app(app(X5,cons(X4,nil)),X6) = X0
                              & ( memberP(X5,X4)
                                | memberP(X6,X4) )
                              & ssList(X6) )
                          & ssList(X5) )
                      & ssItem(X4) )
                  & ( ? [X7] :
                        ( cons(X7,nil) = X2
                        & memberP(X3,X7)
                        & ssItem(X7) )
                    | ( nil = X3
                      & nil = X2 ) )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f222,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & X0 = X2
                  & ? [X4] :
                      ( ? [X5] :
                          ( ? [X6] :
                              ( app(app(X5,cons(X4,nil)),X6) = X0
                              & ( memberP(X5,X4)
                                | memberP(X6,X4) )
                              & ssList(X6) )
                          & ssList(X5) )
                      & ssItem(X4) )
                  & ( ? [X7] :
                        ( cons(X7,nil) = X2
                        & memberP(X3,X7)
                        & ssItem(X7) )
                    | ( nil = X3
                      & nil = X2 ) )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f221]) ).

fof(f234,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( memberP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | ! [X3] :
                      ( ~ ssList(X3)
                      | app(X2,cons(X1,X3)) != X0 ) ) )
            & ( ? [X2] :
                  ( ssList(X2)
                  & ? [X3] :
                      ( ssList(X3)
                      & app(X2,cons(X1,X3)) = X0 ) )
              | ~ memberP(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f99]) ).

fof(f235,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( memberP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | ! [X3] :
                      ( ~ ssList(X3)
                      | app(X2,cons(X1,X3)) != X0 ) ) )
            & ( ? [X4] :
                  ( ssList(X4)
                  & ? [X5] :
                      ( ssList(X5)
                      & app(X4,cons(X1,X5)) = X0 ) )
              | ~ memberP(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f234]) ).

fof(f236,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( memberP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | ! [X3] :
                      ( ~ ssList(X3)
                      | app(X2,cons(X1,X3)) != X0 ) ) )
            & ( ( ssList(sK8(X0,X1))
                & ssList(sK9(X0,X1))
                & app(sK8(X0,X1),cons(X1,sK9(X0,X1))) = X0 )
              | ~ memberP(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X4,sK8(X0,X1)),skolemize(X5,sK9(X0,X1))],[f235]) ).

fof(f277,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( memberP(app(X1,X2),X0)
                  | ( ~ memberP(X1,X0)
                    & ~ memberP(X2,X0) ) )
                & ( memberP(X1,X0)
                  | memberP(X2,X0)
                  | ~ memberP(app(X1,X2),X0) ) )
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f146]) ).

fof(f278,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( memberP(app(X1,X2),X0)
                  | ( ~ memberP(X1,X0)
                    & ~ memberP(X2,X0) ) )
                & ( memberP(X1,X0)
                  | memberP(X2,X0)
                  | ~ memberP(app(X1,X2),X0) ) )
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f277]) ).

fof(f279,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( memberP(cons(X1,X2),X0)
                  | ( X0 != X1
                    & ~ memberP(X2,X0) ) )
                & ( X0 = X1
                  | memberP(X2,X0)
                  | ~ memberP(cons(X1,X2),X0) ) )
              | ~ ssList(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f147]) ).

fof(f280,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( memberP(cons(X1,X2),X0)
                  | ( X0 != X1
                    & ~ memberP(X2,X0) ) )
                & ( X0 = X1
                  | memberP(X2,X0)
                  | ~ memberP(cons(X1,X2),X0) ) )
              | ~ ssList(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f279]) ).

fof(f292,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( nil = app(X0,X1)
              | nil != X1
              | nil != X0 )
            & ( ( nil = X1
                & nil = X0 )
              | nil != app(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f200]) ).

fof(f293,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( nil = app(X0,X1)
              | nil != X1
              | nil != X0 )
            & ( ( nil = X1
                & nil = X0 )
              | nil != app(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f292]) ).

fof(f296,plain,
    ( sK54 = sK56
    & sK53 = sK55
    & sK53 = app(app(sK58,cons(sK57,nil)),sK59)
    & ( memberP(sK58,sK57)
      | memberP(sK59,sK57) )
    & ssList(sK59)
    & ssList(sK58)
    & ssItem(sK57)
    & ( ( sK55 = cons(sK60,nil)
        & memberP(sK56,sK60)
        & ssItem(sK60) )
      | ( nil = sK56
        & nil = sK55 ) )
    & ssList(sK56)
    & 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(X4,sK57),skolemize(X5,sK58),skolemize(X6,sK59),skolemize(X7,sK60)],[f222]) ).

fof(f305,plain,
    ! [X2,X3,X0,X1] :
      ( memberP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | app(X2,cons(X1,X3)) != X0
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f236]) ).

fof(f388,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f389,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f396,plain,
    ! [X0,X1] :
      ( nil != cons(X1,X0)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f399,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f400,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | tl(cons(X1,X0)) = X0 ),
    inference(cnf_transformation,[],[f131]) ).

fof(f401,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f414,plain,
    ! [X2,X0,X1] :
      ( memberP(app(X1,X2),X0)
      | ~ memberP(X2,X0)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f278]) ).

fof(f415,plain,
    ! [X2,X0,X1] :
      ( memberP(app(X1,X2),X0)
      | ~ memberP(X1,X0)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f278]) ).

fof(f416,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(cons(X1,X2),X0)
      | memberP(X2,X0)
      | X0 = X1
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f280]) ).

fof(f419,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f479,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | nil = X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f293]) ).

fof(f480,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | nil = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f293]) ).

fof(f484,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | nil = X0
      | tl(app(X0,X1)) = app(tl(X0),X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f205]) ).

fof(f496,plain,
    ssList(sK53),
    inference(cnf_transformation,[],[f296]) ).

fof(f500,plain,
    ( ssItem(sK60)
    | nil = sK55 ),
    inference(cnf_transformation,[],[f296]) ).

fof(f504,plain,
    ( sK55 = cons(sK60,nil)
    | nil = sK55 ),
    inference(cnf_transformation,[],[f296]) ).

fof(f506,plain,
    ssItem(sK57),
    inference(cnf_transformation,[],[f296]) ).

fof(f507,plain,
    ssList(sK58),
    inference(cnf_transformation,[],[f296]) ).

fof(f508,plain,
    ssList(sK59),
    inference(cnf_transformation,[],[f296]) ).

fof(f509,plain,
    ( memberP(sK58,sK57)
    | memberP(sK59,sK57) ),
    inference(cnf_transformation,[],[f296]) ).

fof(f510,plain,
    sK53 = app(app(sK58,cons(sK57,nil)),sK59),
    inference(cnf_transformation,[],[f296]) ).

fof(f511,plain,
    sK53 = sK55,
    inference(cnf_transformation,[],[f296]) ).

fof(f513,plain,
    sK55 = app(app(sK58,cons(sK57,nil)),sK59),
    inference(definition_unfolding,[],[f510,f511]) ).

fof(f515,plain,
    ssList(sK55),
    inference(definition_unfolding,[],[f496,f511]) ).

fof(f517,plain,
    ! [X2,X3,X1] :
      ( memberP(app(X2,cons(X1,X3)),X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssItem(X1)
      | ~ ssList(app(X2,cons(X1,X3))) ),
    inference(equality_resolution,[],[f305]) ).

fof(f543,definition,
    sF61 = cons(sK57,nil),
    introduced(definition,[new_symbols(definition,[sF61])],[function_definition]) ).

fof(f544,plain,
    cons(sK57,nil) = sF61,
    inference(reorient_equations,[],[f543]) ).

fof(f545,definition,
    sF62 = app(sK58,sF61),
    introduced(definition,[new_symbols(definition,[sF62])],[function_definition]) ).

fof(f546,plain,
    app(sK58,sF61) = sF62,
    inference(reorient_equations,[],[f545]) ).

fof(f547,definition,
    sF63 = app(sF62,sK59),
    introduced(definition,[new_symbols(definition,[sF63])],[function_definition]) ).

fof(f548,plain,
    app(sF62,sK59) = sF63,
    inference(reorient_equations,[],[f547]) ).

fof(f549,plain,
    sK55 = sF63,
    inference(definition_folding,[],[f513,f548,f546,f544]) ).

fof(f550,definition,
    sF64 = cons(sK60,nil),
    introduced(definition,[new_symbols(definition,[sF64])],[function_definition]) ).

fof(f551,plain,
    cons(sK60,nil) = sF64,
    inference(reorient_equations,[],[f550]) ).

fof(f553,plain,
    ( sK55 = sF64
    | nil = sK55 ),
    inference(definition_folding,[],[f504,f551]) ).

fof(f562,definition,
    ( spl65_1
  <=> nil = sK55 ),
    introduced(definition,[new_symbols(definition,[spl65_1])],[avatar_definition]) ).

fof(f564,plain,
    ( nil = sK55
    | ~ spl65_1 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f566,definition,
    ( spl65_2
  <=> ssItem(sK60) ),
    introduced(definition,[new_symbols(definition,[spl65_2])],[avatar_definition]) ).

fof(f568,plain,
    ( ssItem(sK60)
    | ~ spl65_2 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f569,plain,
    ( spl65_1
    | spl65_2 ),
    inference(avatar_split_clause,[],[f500,f566,f562]) ).

fof(f582,definition,
    ( spl65_5
  <=> sK55 = sF64 ),
    introduced(definition,[new_symbols(definition,[spl65_5])],[avatar_definition]) ).

fof(f584,plain,
    ( sK55 = sF64
    | ~ spl65_5 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f585,plain,
    ( spl65_1
    | spl65_5 ),
    inference(avatar_split_clause,[],[f553,f582,f562]) ).

fof(f588,definition,
    ( spl65_6
  <=> memberP(sK59,sK57) ),
    introduced(definition,[new_symbols(definition,[spl65_6])],[avatar_definition]) ).

fof(f590,plain,
    ( memberP(sK59,sK57)
    | ~ spl65_6 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f592,definition,
    ( spl65_7
  <=> memberP(sK58,sK57) ),
    introduced(definition,[new_symbols(definition,[spl65_7])],[avatar_definition]) ).

fof(f594,plain,
    ( memberP(sK58,sK57)
    | ~ spl65_7 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f595,plain,
    ( spl65_6
    | spl65_7 ),
    inference(avatar_split_clause,[],[f509,f592,f588]) ).

fof(f597,definition,
    ( spl65_8
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl65_8])],[avatar_definition]) ).

fof(f598,plain,
    ( ssList(nil)
    | ~ spl65_8 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f625,plain,
    spl65_8,
    inference(avatar_split_clause,[],[f389,f597]) ).

fof(f628,plain,
    sK55 = app(sF62,sK59),
    inference(forward_demodulation,[],[f548,f549]) ).

fof(f630,plain,
    ! [X0] :
      ( ~ memberP(sF64,X0)
      | memberP(nil,X0)
      | sK60 = X0
      | ~ ssList(nil)
      | ~ ssItem(sK60)
      | ~ ssItem(X0) ),
    inference(superposition,[],[f416,f551]) ).

fof(f631,plain,
    ( ! [X0] :
        ( ~ memberP(sF64,X0)
        | memberP(nil,X0)
        | sK60 = X0
        | ~ ssItem(sK60)
        | ~ ssItem(X0) )
    | ~ spl65_8 ),
    inference(forward_subsumption_resolution,[],[f630,f598]) ).

fof(f633,plain,
    ( ! [X0] :
        ( ~ memberP(sF64,X0)
        | memberP(nil,X0)
        | sK60 = X0
        | ~ ssItem(X0) )
    | ~ spl65_2
    | ~ spl65_8 ),
    inference(forward_subsumption_resolution,[],[f631,f568]) ).

fof(f635,plain,
    ( ! [X0] :
        ( ~ memberP(sF64,X0)
        | sK60 = X0
        | ~ ssItem(X0) )
    | ~ spl65_2
    | ~ spl65_8 ),
    inference(forward_subsumption_resolution,[],[f633,f419]) ).

fof(f637,plain,
    ( ! [X0] :
        ( ~ memberP(sK55,X0)
        | sK60 = X0
        | ~ ssItem(X0) )
    | ~ spl65_2
    | ~ spl65_5
    | ~ spl65_8 ),
    inference(forward_demodulation,[],[f635,f584]) ).

fof(f638,plain,
    ! [X0] :
      ( memberP(app(X0,sF61),sK57)
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssItem(sK57)
      | ~ ssList(app(X0,sF61)) ),
    inference(superposition,[],[f517,f544]) ).

fof(f641,plain,
    ( ! [X0] :
        ( memberP(app(X0,sF61),sK57)
        | ~ ssList(X0)
        | ~ ssItem(sK57)
        | ~ ssList(app(X0,sF61)) )
    | ~ spl65_8 ),
    inference(forward_subsumption_resolution,[],[f638,f598]) ).

fof(f643,plain,
    ( ! [X0] :
        ( memberP(app(X0,sF61),sK57)
        | ~ ssList(X0)
        | ~ ssList(app(X0,sF61)) )
    | ~ spl65_8 ),
    inference(forward_subsumption_resolution,[],[f641,f506]) ).

fof(f650,plain,
    ( ssList(sF61)
    | ~ ssItem(sK57)
    | ~ ssList(nil) ),
    inference(superposition,[],[f388,f544]) ).

fof(f653,plain,
    ( ssList(sF61)
    | ~ ssList(nil) ),
    inference(forward_subsumption_resolution,[],[f650,f506]) ).

fof(f655,plain,
    ( ssList(sF61)
    | ~ spl65_8 ),
    inference(forward_subsumption_resolution,[],[f653,f598]) ).

fof(f658,plain,
    ( nil != sF62
    | nil = sF61
    | ~ ssList(sF61)
    | ~ ssList(sK58) ),
    inference(superposition,[],[f480,f546]) ).

fof(f661,plain,
    ( nil != sF62
    | nil = sF61
    | ~ ssList(sK58)
    | ~ spl65_8 ),
    inference(forward_subsumption_resolution,[],[f658,f655]) ).

fof(f663,definition,
    ( spl65_14
  <=> ssList(sF62) ),
    introduced(definition,[new_symbols(definition,[spl65_14])],[avatar_definition]) ).

fof(f664,plain,
    ( ssList(sF62)
    | ~ spl65_14 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f665,plain,
    ( ~ ssList(sF62)
    | spl65_14 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f667,definition,
    ( spl65_15
  <=> nil = sK59 ),
    introduced(definition,[new_symbols(definition,[spl65_15])],[avatar_definition]) ).

fof(f668,plain,
    ( nil != sK59
    | spl65_15 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f669,plain,
    ( nil = sK59
    | ~ spl65_15 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f671,plain,
    ( nil != sF62
    | nil = sF61
    | ~ spl65_8 ),
    inference(forward_subsumption_resolution,[],[f661,f507]) ).

fof(f673,definition,
    ( spl65_16
  <=> nil = sF61 ),
    introduced(definition,[new_symbols(definition,[spl65_16])],[avatar_definition]) ).

fof(f674,plain,
    ( nil != sF61
    | spl65_16 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f677,definition,
    ( spl65_17
  <=> nil = sF62 ),
    introduced(definition,[new_symbols(definition,[spl65_17])],[avatar_definition]) ).

fof(f679,plain,
    ( nil != sF62
    | spl65_17 ),
    inference(avatar_component_clause,[],[f677]) ).

fof(f680,plain,
    ( spl65_16
    | ~ spl65_17
    | ~ spl65_8 ),
    inference(avatar_split_clause,[],[f671,f597,f677,f673]) ).

fof(f681,plain,
    ( nil != sF61
    | ~ ssItem(sK57)
    | ~ ssList(nil) ),
    inference(superposition,[],[f396,f544]) ).

fof(f684,plain,
    ( nil != sF61
    | ~ ssList(nil) ),
    inference(forward_subsumption_resolution,[],[f681,f506]) ).

fof(f686,plain,
    ( nil != sF61
    | ~ spl65_8 ),
    inference(forward_subsumption_resolution,[],[f684,f598]) ).

fof(f688,plain,
    ( ~ spl65_16
    | ~ spl65_8 ),
    inference(avatar_split_clause,[],[f686,f597,f673]) ).

fof(f695,plain,
    ! [X0] :
      ( memberP(sK55,X0)
      | ~ memberP(sK59,X0)
      | ~ ssList(sK59)
      | ~ ssList(sF62)
      | ~ ssItem(X0) ),
    inference(superposition,[],[f414,f628]) ).

fof(f696,plain,
    ! [X0] :
      ( memberP(sK55,X0)
      | ~ memberP(sK59,X0)
      | ~ ssList(sF62)
      | ~ ssItem(X0) ),
    inference(forward_subsumption_resolution,[],[f695,f508]) ).

fof(f699,definition,
    ( spl65_18
  <=> ! [X0] :
        ( memberP(sK55,X0)
        | ~ ssItem(X0)
        | ~ memberP(sK59,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl65_18])],[avatar_definition]) ).

fof(f700,plain,
    ( ! [X0] :
        ( ~ memberP(sK59,X0)
        | ~ ssItem(X0)
        | memberP(sK55,X0) )
    | ~ spl65_18 ),
    inference(avatar_component_clause,[],[f699]) ).

fof(f701,plain,
    ( ~ spl65_14
    | spl65_18 ),
    inference(avatar_split_clause,[],[f696,f699,f663]) ).

fof(f704,plain,
    ! [X0] :
      ( memberP(sK55,X0)
      | ~ memberP(sF62,X0)
      | ~ ssList(sK59)
      | ~ ssList(sF62)
      | ~ ssItem(X0) ),
    inference(superposition,[],[f415,f628]) ).

fof(f709,plain,
    ( ssList(sF62)
    | ~ ssList(sF61)
    | ~ ssList(sK58) ),
    inference(superposition,[],[f401,f546]) ).

fof(f711,plain,
    ( ~ ssList(sF61)
    | ~ ssList(sK58)
    | spl65_14 ),
    inference(forward_subsumption_resolution,[],[f709,f665]) ).

fof(f712,plain,
    ( ~ ssList(sK58)
    | ~ spl65_8
    | spl65_14 ),
    inference(forward_subsumption_resolution,[],[f711,f655]) ).

fof(f713,plain,
    ( $false
    | ~ spl65_8
    | spl65_14 ),
    inference(forward_subsumption_resolution,[],[f712,f507]) ).

fof(f714,plain,
    ( ~ spl65_8
    | spl65_14 ),
    inference(avatar_contradiction_clause,[],[f713]) ).

fof(f715,plain,
    ! [X0] :
      ( memberP(sK55,X0)
      | ~ memberP(sF62,X0)
      | ~ ssList(sF62)
      | ~ ssItem(X0) ),
    inference(forward_subsumption_resolution,[],[f704,f508]) ).

fof(f716,plain,
    ( ! [X0] :
        ( ~ memberP(sF62,X0)
        | memberP(sK55,X0)
        | ~ ssItem(X0) )
    | ~ spl65_14 ),
    inference(forward_subsumption_resolution,[],[f715,f664]) ).

fof(f719,plain,
    ( ~ ssItem(sK57)
    | memberP(sK55,sK57)
    | ~ spl65_6
    | ~ spl65_18 ),
    inference(resolution,[],[f700,f590]) ).

fof(f720,plain,
    ( memberP(sK55,sK57)
    | ~ spl65_6
    | ~ spl65_18 ),
    inference(forward_subsumption_resolution,[],[f719,f506]) ).

fof(f721,plain,
    ( sK57 = sK60
    | ~ ssItem(sK57)
    | ~ spl65_2
    | ~ spl65_5
    | ~ spl65_6
    | ~ spl65_8
    | ~ spl65_18 ),
    inference(resolution,[],[f720,f637]) ).

fof(f722,plain,
    ( sK57 = sK60
    | ~ spl65_2
    | ~ spl65_5
    | ~ spl65_6
    | ~ spl65_8
    | ~ spl65_18 ),
    inference(forward_subsumption_resolution,[],[f721,f506]) ).

fof(f725,plain,
    ( memberP(sK59,sK60)
    | ~ spl65_2
    | ~ spl65_5
    | ~ spl65_6
    | ~ spl65_8
    | ~ spl65_18 ),
    inference(superposition,[],[f590,f722]) ).

fof(f739,plain,
    ( nil != sK55
    | nil = sF62
    | ~ ssList(sK59)
    | ~ ssList(sF62) ),
    inference(superposition,[],[f479,f628]) ).

fof(f765,plain,
    ( memberP(sF62,sK57)
    | ~ ssList(sK58)
    | ~ ssList(sF62)
    | ~ spl65_8 ),
    inference(superposition,[],[f643,f546]) ).

fof(f767,plain,
    ( memberP(sF62,sK57)
    | ~ ssList(sF62)
    | ~ spl65_8 ),
    inference(forward_subsumption_resolution,[],[f765,f507]) ).

fof(f768,plain,
    ( memberP(sF62,sK57)
    | ~ spl65_8
    | ~ spl65_14 ),
    inference(forward_subsumption_resolution,[],[f767,f664]) ).

fof(f825,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | tl(app(X0,sK55)) = app(tl(X0),sK55)
      | nil = X0 ),
    inference(resolution,[],[f484,f515]) ).

fof(f828,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | tl(app(X0,sK59)) = app(tl(X0),sK59)
      | nil = X0 ),
    inference(resolution,[],[f484,f508]) ).

fof(f851,definition,
    ( spl65_20
  <=> nil = sK58 ),
    introduced(definition,[new_symbols(definition,[spl65_20])],[avatar_definition]) ).

fof(f852,plain,
    ( nil != sK58
    | spl65_20 ),
    inference(avatar_component_clause,[],[f851]) ).

fof(f853,plain,
    ( nil = sK58
    | ~ spl65_20 ),
    inference(avatar_component_clause,[],[f851]) ).

fof(f867,plain,
    ( memberP(nil,sK60)
    | ~ spl65_2
    | ~ spl65_5
    | ~ spl65_6
    | ~ spl65_8
    | ~ spl65_15
    | ~ spl65_18 ),
    inference(superposition,[],[f725,f669]) ).

fof(f886,plain,
    ( ~ ssItem(sK60)
    | ~ spl65_2
    | ~ spl65_5
    | ~ spl65_6
    | ~ spl65_8
    | ~ spl65_15
    | ~ spl65_18 ),
    inference(resolution,[],[f867,f419]) ).

fof(f889,plain,
    ( $false
    | ~ spl65_2
    | ~ spl65_5
    | ~ spl65_6
    | ~ spl65_8
    | ~ spl65_15
    | ~ spl65_18 ),
    inference(forward_subsumption_resolution,[],[f886,f568]) ).

fof(f890,plain,
    ( ~ spl65_2
    | ~ spl65_5
    | ~ spl65_6
    | ~ spl65_8
    | ~ spl65_15
    | ~ spl65_18 ),
    inference(avatar_contradiction_clause,[],[f889]) ).

fof(f954,plain,
    ( nil = sF62
    | ~ ssList(sK59)
    | ~ ssList(sF62)
    | ~ spl65_1 ),
    inference(forward_subsumption_resolution,[],[f739,f564]) ).

fof(f957,plain,
    ( ~ ssList(sK59)
    | ~ ssList(sF62)
    | ~ spl65_1
    | spl65_17 ),
    inference(forward_subsumption_resolution,[],[f954,f679]) ).

fof(f958,plain,
    ( ~ ssList(sF62)
    | ~ spl65_1
    | spl65_17 ),
    inference(forward_subsumption_resolution,[],[f957,f508]) ).

fof(f959,plain,
    ( $false
    | ~ spl65_1
    | ~ spl65_14
    | spl65_17 ),
    inference(forward_subsumption_resolution,[],[f958,f664]) ).

fof(f960,plain,
    ( ~ spl65_1
    | ~ spl65_14
    | spl65_17 ),
    inference(avatar_contradiction_clause,[],[f959]) ).

fof(f995,plain,
    ( ! [X0] :
        ( ~ memberP(sK55,X0)
        | sK60 = X0
        | ~ ssItem(X0) )
    | ~ spl65_2
    | ~ spl65_5
    | ~ spl65_8 ),
    inference(superposition,[],[f635,f584]) ).

fof(f1015,plain,
    ( memberP(sK55,sK57)
    | ~ ssItem(sK57)
    | ~ spl65_8
    | ~ spl65_14 ),
    inference(resolution,[],[f768,f716]) ).

fof(f1089,plain,
    ( tl(app(sF62,sK59)) = app(tl(sF62),sK59)
    | nil = sF62
    | ~ spl65_14 ),
    inference(resolution,[],[f828,f664]) ).

fof(f1090,plain,
    ( tl(app(sF62,sK59)) = app(tl(sF62),sK59)
    | ~ spl65_14
    | spl65_17 ),
    inference(forward_subsumption_resolution,[],[f1089,f679]) ).

fof(f1097,plain,
    ( tl(sK55) = app(tl(sF62),sK59)
    | ~ spl65_14
    | spl65_17 ),
    inference(forward_demodulation,[],[f1090,f628]) ).

fof(f1112,definition,
    ( spl65_32
  <=> ssList(tl(sF62)) ),
    introduced(definition,[new_symbols(definition,[spl65_32])],[avatar_definition]) ).

fof(f1113,plain,
    ( ssList(tl(sF62))
    | ~ spl65_32 ),
    inference(avatar_component_clause,[],[f1112]) ).

fof(f1114,plain,
    ( ~ ssList(tl(sF62))
    | spl65_32 ),
    inference(avatar_component_clause,[],[f1112]) ).

fof(f1129,definition,
    ( spl65_36
  <=> nil = tl(sF62) ),
    introduced(definition,[new_symbols(definition,[spl65_36])],[avatar_definition]) ).

fof(f1130,plain,
    ( nil != tl(sF62)
    | spl65_36 ),
    inference(avatar_component_clause,[],[f1129]) ).

fof(f1133,definition,
    ( spl65_37
  <=> nil = tl(sF61) ),
    introduced(definition,[new_symbols(definition,[spl65_37])],[avatar_definition]) ).

fof(f1134,plain,
    ( nil = tl(sF61)
    | ~ spl65_37 ),
    inference(avatar_component_clause,[],[f1133]) ).

fof(f1135,plain,
    ( nil != tl(sF61)
    | spl65_37 ),
    inference(avatar_component_clause,[],[f1133]) ).

fof(f1359,plain,
    ( memberP(sK55,sK57)
    | ~ spl65_8
    | ~ spl65_14 ),
    inference(forward_subsumption_resolution,[],[f1015,f506]) ).

fof(f1414,plain,
    ( sK57 = sK60
    | ~ ssItem(sK57)
    | ~ spl65_2
    | ~ spl65_5
    | ~ spl65_8
    | ~ spl65_14 ),
    inference(resolution,[],[f1359,f995]) ).

fof(f1417,plain,
    ( sK57 = sK60
    | ~ spl65_2
    | ~ spl65_5
    | ~ spl65_8
    | ~ spl65_14 ),
    inference(forward_subsumption_resolution,[],[f1414,f506]) ).

fof(f1421,plain,
    ( cons(sK60,nil) = sF61
    | ~ spl65_2
    | ~ spl65_5
    | ~ spl65_8
    | ~ spl65_14 ),
    inference(superposition,[],[f544,f1417]) ).

fof(f1422,plain,
    ( memberP(sK58,sK60)
    | ~ spl65_2
    | ~ spl65_5
    | ~ spl65_7
    | ~ spl65_8
    | ~ spl65_14 ),
    inference(superposition,[],[f594,f1417]) ).

fof(f1427,plain,
    ( sF61 = sF64
    | ~ spl65_2
    | ~ spl65_5
    | ~ spl65_8
    | ~ spl65_14 ),
    inference(forward_demodulation,[],[f1421,f551]) ).

fof(f1428,plain,
    ( sK55 = sF61
    | ~ spl65_2
    | ~ spl65_5
    | ~ spl65_8
    | ~ spl65_14 ),
    inference(forward_demodulation,[],[f1427,f584]) ).

fof(f1438,plain,
    ( nil != tl(sK55)
    | nil = tl(sF62)
    | ~ ssList(sK59)
    | ~ ssList(tl(sF62))
    | ~ spl65_14
    | spl65_17 ),
    inference(superposition,[],[f479,f1097]) ).

fof(f1442,plain,
    ( nil != tl(sK55)
    | nil = sK59
    | ~ ssList(sK59)
    | ~ ssList(tl(sF62))
    | ~ spl65_14
    | spl65_17 ),
    inference(superposition,[],[f480,f1097]) ).

fof(f1683,plain,
    ( tl(app(sK58,sK55)) = app(tl(sK58),sK55)
    | nil = sK58 ),
    inference(resolution,[],[f825,f507]) ).

fof(f1690,plain,
    ( tl(app(sK58,sK55)) = app(tl(sK58),sK55)
    | spl65_20 ),
    inference(forward_subsumption_resolution,[],[f1683,f852]) ).

fof(f1700,plain,
    ( tl(app(sK58,sF61)) = app(tl(sK58),sF61)
    | ~ spl65_2
    | ~ spl65_5
    | ~ spl65_8
    | ~ spl65_14
    | spl65_20 ),
    inference(forward_demodulation,[],[f1690,f1428]) ).

fof(f1704,plain,
    ( tl(sF62) = app(tl(sK58),sF61)
    | ~ spl65_2
    | ~ spl65_5
    | ~ spl65_8
    | ~ spl65_14
    | spl65_20 ),
    inference(forward_demodulation,[],[f1700,f546]) ).

fof(f1710,plain,
    ( nil != tl(sF62)
    | nil = sF61
    | ~ ssList(sF61)
    | ~ ssList(tl(sK58))
    | ~ spl65_2
    | ~ spl65_5
    | ~ spl65_8
    | ~ spl65_14
    | spl65_20 ),
    inference(superposition,[],[f480,f1704]) ).

fof(f1711,plain,
    ( nil != tl(sF62)
    | ~ ssList(sF61)
    | ~ ssList(tl(sK58))
    | ~ spl65_2
    | ~ spl65_5
    | ~ spl65_8
    | ~ spl65_14
    | spl65_16
    | spl65_20 ),
    inference(forward_subsumption_resolution,[],[f1710,f674]) ).

fof(f1716,plain,
    ( nil != tl(sF62)
    | ~ ssList(tl(sK58))
    | ~ spl65_2
    | ~ spl65_5
    | ~ spl65_8
    | ~ spl65_14
    | spl65_16
    | spl65_20 ),
    inference(forward_subsumption_resolution,[],[f1711,f655]) ).

fof(f1718,definition,
    ( spl65_79
  <=> ssList(tl(sK58)) ),
    introduced(definition,[new_symbols(definition,[spl65_79])],[avatar_definition]) ).

fof(f1720,plain,
    ( ~ ssList(tl(sK58))
    | spl65_79 ),
    inference(avatar_component_clause,[],[f1718]) ).

fof(f1735,plain,
    ( ~ spl65_79
    | ~ spl65_36
    | ~ spl65_2
    | ~ spl65_5
    | ~ spl65_8
    | ~ spl65_14
    | spl65_16
    | spl65_20 ),
    inference(avatar_split_clause,[],[f1716,f851,f673,f663,f597,f582,f566,f1129,f1718]) ).

fof(f1742,plain,
    ( nil = sF62
    | ~ ssList(sF62)
    | spl65_32 ),
    inference(resolution,[],[f399,f1114]) ).

fof(f1743,plain,
    ( nil = sK58
    | ~ ssList(sK58)
    | spl65_79 ),
    inference(resolution,[],[f399,f1720]) ).

fof(f1754,plain,
    ( ~ ssList(sK58)
    | spl65_20
    | spl65_79 ),
    inference(forward_subsumption_resolution,[],[f1743,f852]) ).

fof(f1755,plain,
    ( ~ ssList(sF62)
    | spl65_17
    | spl65_32 ),
    inference(forward_subsumption_resolution,[],[f1742,f679]) ).

fof(f1756,plain,
    ( $false
    | spl65_20
    | spl65_79 ),
    inference(forward_subsumption_resolution,[],[f1754,f507]) ).

fof(f1757,plain,
    ( spl65_20
    | spl65_79 ),
    inference(avatar_contradiction_clause,[],[f1756]) ).

fof(f1758,plain,
    ( $false
    | ~ spl65_14
    | spl65_17
    | spl65_32 ),
    inference(forward_subsumption_resolution,[],[f1755,f664]) ).

fof(f1759,plain,
    ( ~ spl65_14
    | spl65_17
    | spl65_32 ),
    inference(avatar_contradiction_clause,[],[f1758]) ).

fof(f1762,plain,
    ( nil != tl(sK55)
    | ~ ssList(sK59)
    | ~ ssList(tl(sF62))
    | ~ spl65_14
    | spl65_15
    | spl65_17 ),
    inference(forward_subsumption_resolution,[],[f1442,f668]) ).

fof(f1766,plain,
    ( nil != tl(sK55)
    | nil = tl(sF62)
    | ~ ssList(tl(sF62))
    | ~ spl65_14
    | spl65_17 ),
    inference(forward_subsumption_resolution,[],[f1438,f508]) ).

fof(f1769,plain,
    ( nil != tl(sK55)
    | ~ ssList(tl(sF62))
    | ~ spl65_14
    | spl65_15
    | spl65_17 ),
    inference(forward_subsumption_resolution,[],[f1762,f508]) ).

fof(f1773,plain,
    ( nil != tl(sF61)
    | nil = tl(sF62)
    | ~ ssList(tl(sF62))
    | ~ spl65_2
    | ~ spl65_5
    | ~ spl65_8
    | ~ spl65_14
    | spl65_17 ),
    inference(forward_demodulation,[],[f1766,f1428]) ).

fof(f1776,plain,
    ( nil != tl(sF61)
    | ~ ssList(tl(sF62))
    | ~ spl65_2
    | ~ spl65_5
    | ~ spl65_8
    | ~ spl65_14
    | spl65_15
    | spl65_17 ),
    inference(forward_demodulation,[],[f1769,f1428]) ).

fof(f1892,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | nil = tl(cons(X0,nil)) )
    | ~ spl65_8 ),
    inference(resolution,[],[f400,f598]) ).

fof(f1914,plain,
    ( nil = tl(cons(sK57,nil))
    | ~ spl65_8 ),
    inference(resolution,[],[f1892,f506]) ).

fof(f1915,plain,
    ( nil = tl(sF61)
    | ~ spl65_8 ),
    inference(forward_demodulation,[],[f1914,f544]) ).

fof(f1917,plain,
    ( $false
    | ~ spl65_8
    | spl65_37 ),
    inference(forward_subsumption_resolution,[],[f1915,f1135]) ).

fof(f1918,plain,
    ( ~ spl65_8
    | spl65_37 ),
    inference(avatar_contradiction_clause,[],[f1917]) ).

fof(f1925,plain,
    ( memberP(nil,sK60)
    | ~ spl65_2
    | ~ spl65_5
    | ~ spl65_7
    | ~ spl65_8
    | ~ spl65_14
    | ~ spl65_20 ),
    inference(forward_demodulation,[],[f1422,f853]) ).

fof(f1934,plain,
    ( nil = tl(sF62)
    | ~ ssList(tl(sF62))
    | ~ spl65_2
    | ~ spl65_5
    | ~ spl65_8
    | ~ spl65_14
    | spl65_17
    | ~ spl65_37 ),
    inference(forward_subsumption_resolution,[],[f1773,f1134]) ).

fof(f1935,plain,
    ( ~ ssList(tl(sF62))
    | ~ spl65_2
    | ~ spl65_5
    | ~ spl65_8
    | ~ spl65_14
    | spl65_15
    | spl65_17
    | ~ spl65_37 ),
    inference(forward_subsumption_resolution,[],[f1776,f1134]) ).

fof(f1959,plain,
    ( ~ ssList(tl(sF62))
    | ~ spl65_2
    | ~ spl65_5
    | ~ spl65_8
    | ~ spl65_14
    | spl65_17
    | spl65_36
    | ~ spl65_37 ),
    inference(forward_subsumption_resolution,[],[f1934,f1130]) ).

fof(f1960,plain,
    ( $false
    | ~ spl65_2
    | ~ spl65_5
    | ~ spl65_8
    | ~ spl65_14
    | spl65_15
    | spl65_17
    | ~ spl65_32
    | ~ spl65_37 ),
    inference(forward_subsumption_resolution,[],[f1935,f1113]) ).

fof(f1961,plain,
    ( ~ spl65_2
    | ~ spl65_5
    | ~ spl65_8
    | ~ spl65_14
    | spl65_15
    | spl65_17
    | ~ spl65_32
    | ~ spl65_37 ),
    inference(avatar_contradiction_clause,[],[f1960]) ).

fof(f1969,plain,
    ( $false
    | ~ spl65_2
    | ~ spl65_5
    | ~ spl65_8
    | ~ spl65_14
    | spl65_17
    | ~ spl65_32
    | spl65_36
    | ~ spl65_37 ),
    inference(forward_subsumption_resolution,[],[f1959,f1113]) ).

fof(f1970,plain,
    ( ~ spl65_2
    | ~ spl65_5
    | ~ spl65_8
    | ~ spl65_14
    | spl65_17
    | ~ spl65_32
    | spl65_36
    | ~ spl65_37 ),
    inference(avatar_contradiction_clause,[],[f1969]) ).

fof(f2015,plain,
    ( ~ ssItem(sK60)
    | ~ spl65_2
    | ~ spl65_5
    | ~ spl65_7
    | ~ spl65_8
    | ~ spl65_14
    | ~ spl65_20 ),
    inference(resolution,[],[f1925,f419]) ).

fof(f2018,plain,
    ( $false
    | ~ spl65_2
    | ~ spl65_5
    | ~ spl65_7
    | ~ spl65_8
    | ~ spl65_14
    | ~ spl65_20 ),
    inference(forward_subsumption_resolution,[],[f2015,f568]) ).

fof(f2019,plain,
    ( ~ spl65_2
    | ~ spl65_5
    | ~ spl65_7
    | ~ spl65_8
    | ~ spl65_14
    | ~ spl65_20 ),
    inference(avatar_contradiction_clause,[],[f2018]) ).

cnf(s1,plain,
    ( spl65_1
    | spl65_2 ),
    inference(sat_conversion,[],[f569]) ).

cnf(s5,plain,
    ( spl65_1
    | spl65_5 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s7,plain,
    ( spl65_6
    | spl65_7 ),
    inference(sat_conversion,[],[f595]) ).

cnf(s15,plain,
    spl65_8,
    inference(sat_conversion,[],[f625]) ).

cnf(s17,plain,
    ( ~ spl65_8
    | spl65_16
    | ~ spl65_17 ),
    inference(sat_conversion,[],[f680]) ).

cnf(s18,plain,
    ( ~ spl65_8
    | ~ spl65_16 ),
    inference(sat_conversion,[],[f688]) ).

cnf(s19,plain,
    ( ~ spl65_14
    | spl65_18 ),
    inference(sat_conversion,[],[f701]) ).

cnf(s20,plain,
    ( ~ spl65_8
    | spl65_14 ),
    inference(sat_conversion,[],[f714]) ).

cnf(s24,plain,
    ( ~ spl65_2
    | ~ spl65_5
    | ~ spl65_6
    | ~ spl65_8
    | ~ spl65_15
    | ~ spl65_18 ),
    inference(sat_conversion,[],[f890]) ).

cnf(s29,plain,
    ( ~ spl65_1
    | ~ spl65_14
    | spl65_17 ),
    inference(sat_conversion,[],[f960]) ).

cnf(s78,plain,
    ( ~ spl65_2
    | ~ spl65_5
    | ~ spl65_8
    | ~ spl65_14
    | spl65_16
    | spl65_20
    | ~ spl65_36
    | ~ spl65_79 ),
    inference(sat_conversion,[],[f1735]) ).

cnf(s80,plain,
    ( spl65_20
    | spl65_79 ),
    inference(sat_conversion,[],[f1757]) ).

cnf(s81,plain,
    ( ~ spl65_14
    | spl65_17
    | spl65_32 ),
    inference(sat_conversion,[],[f1759]) ).

cnf(s82,plain,
    ( ~ spl65_8
    | spl65_37 ),
    inference(sat_conversion,[],[f1918]) ).

cnf(s87,plain,
    ( ~ spl65_2
    | ~ spl65_5
    | ~ spl65_8
    | ~ spl65_14
    | spl65_15
    | spl65_17
    | ~ spl65_32
    | ~ spl65_37 ),
    inference(sat_conversion,[],[f1961]) ).

cnf(s88,plain,
    ( ~ spl65_2
    | ~ spl65_5
    | ~ spl65_8
    | ~ spl65_14
    | spl65_17
    | ~ spl65_32
    | spl65_36
    | ~ spl65_37 ),
    inference(sat_conversion,[],[f1970]) ).

cnf(s89,plain,
    ( ~ spl65_2
    | ~ spl65_5
    | ~ spl65_7
    | ~ spl65_8
    | ~ spl65_14
    | ~ spl65_20 ),
    inference(sat_conversion,[],[f2019]) ).

cnf(s90,plain,
    spl65_37,
    inference(rat,[],[s82,s15]) ).

cnf(s91,plain,
    spl65_14,
    inference(rat,[],[s20,s15]) ).

cnf(s92,plain,
    ~ spl65_16,
    inference(rat,[],[s18,s15]) ).

cnf(s93,plain,
    spl65_18,
    inference(rat,[],[s19,s91]) ).

cnf(s94,plain,
    ~ spl65_17,
    inference(rat,[],[s17,s15,s92]) ).

cnf(s95,plain,
    spl65_32,
    inference(rat,[],[s81,s91,s94]) ).

cnf(s96,plain,
    ~ spl65_1,
    inference(rat,[],[s29,s91,s94]) ).

cnf(s100,plain,
    spl65_5,
    inference(rat,[],[s5,s96]) ).

cnf(s102,plain,
    spl65_2,
    inference(rat,[],[s1,s96]) ).

cnf(s103,plain,
    spl65_36,
    inference(rat,[],[s88,s90,s100,s95,s94,s91,s15,s102]) ).

cnf(s104,plain,
    spl65_15,
    inference(rat,[],[s87,s90,s95,s94,s100,s91,s15,s102]) ).

cnf(s109,plain,
    ~ spl65_6,
    inference(rat,[],[s24,s93,s104,s15,s100,s102]) ).

cnf(s115,plain,
    spl65_7,
    inference(rat,[],[s7,s109]) ).

cnf(s116,plain,
    ~ spl65_20,
    inference(rat,[],[s89,s102,s91,s15,s100,s115]) ).

cnf(s119,plain,
    spl65_79,
    inference(rat,[],[s80,s116]) ).

cnf(s121,plain,
    $false,
    inference(rat,[],[s78,s102,s103,s100,s92,s91,s15,s119,s116]) ).

fof(f2022,plain,
    $false,
    inference(avatar_sat_refutation,[],[s121]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC187+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37  % Computer : n011.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Mon Sep 28 08:21:46 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.40  Running first-order theorem proving
% 0.09/0.40  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.49/1.59  % (3245410)Detected formulas, will run a generic FOF schedule.
% 5.49/1.59  % (3245419)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4119598900:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.49/1.59  % (3245417)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3997473393:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.49/1.59  % (3245420)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3525440946:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.49/1.59  % (3245415)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2732185825:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.49/1.59  % (3245421)dis-21_1_sil=8000:lcm=predicate:random_seed=3071635593:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.49/1.59  % (3245418)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3412150853:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.49/1.59  % (3245416)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1823857025:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.49/1.59  % (3245419)Instruction limit reached! 
% 5.49/1.59  % (3245419)------------------------------
% 5.49/1.59  % (3245419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.49/1.59  % (3245419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.59  % (3245419)CaDiCaL version: 2.1.3
% 5.49/1.59  % (3245419)Termination reason: Instruction limit
% 5.49/1.59  % (3245419)Termination phase: Saturation
% 5.49/1.59  % (3245419)Time elapsed: 0.065 s
% 5.49/1.59  % (3245419)Peak memory usage: 88 MB
% 5.49/1.59  % (3245419)Instructions burned: 119 (million)
% 5.49/1.59  % (3245418)Instruction limit reached! 
% 5.49/1.59  % (3245418)------------------------------
% 5.49/1.59  % (3245418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.49/1.59  % (3245418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.59  % (3245418)CaDiCaL version: 2.1.3
% 5.49/1.59  % (3245418)Termination reason: Instruction limit
% 5.49/1.59  % (3245418)Termination phase: Saturation
% 5.49/1.59  % (3245418)Time elapsed: 0.068 s
% 5.49/1.59  % (3245418)Peak memory usage: 89 MB
% 5.49/1.59  % (3245418)Instructions burned: 110 (million)
% 5.49/1.59  % (3245421)Instruction limit reached! 
% 5.49/1.59  % (3245421)------------------------------
% 5.49/1.59  % (3245421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.49/1.59  % (3245421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.59  % (3245421)CaDiCaL version: 2.1.3
% 5.49/1.59  % (3245421)Termination reason: Instruction limit
% 5.49/1.59  % (3245421)Termination phase: Saturation
% 5.49/1.59  % (3245421)Time elapsed: 0.068 s
% 5.49/1.59  % (3245421)Peak memory usage: 90 MB
% 5.49/1.59  % (3245421)Instructions burned: 129 (million)
% 5.49/1.59  % (3245420)Instruction limit reached! 
% 5.49/1.59  % (3245420)------------------------------
% 5.49/1.59  % (3245420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.49/1.59  % (3245420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.59  % (3245420)CaDiCaL version: 2.1.3
% 5.49/1.59  % (3245420)Termination reason: Instruction limit
% 5.49/1.59  % (3245420)Termination phase: Saturation
% 5.49/1.59  % (3245420)Time elapsed: 0.095 s
% 5.49/1.59  % (3245420)Peak memory usage: 90 MB
% 5.49/1.59  % (3245420)Instructions burned: 140 (million)
% 5.49/1.59  % (3245429)lrs+10_1_sil=8000:sp=occurrence:random_seed=4110619816:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.49/1.59  % (3245431)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3407826028:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.49/1.59  % (3245430)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1081229469:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.49/1.59  % (3245432)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2110097606:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.49/1.59  % (3245429)Instruction limit reached! 
% 5.49/1.59  % (3245429)------------------------------
% 5.49/1.59  % (3245429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.49/1.59  % (3245429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.59  % (3245429)CaDiCaL version: 2.1.3
% 5.49/1.59  % (3245429)Termination reason: Instruction limit
% 5.49/1.59  % (3245429)Termination phase: Saturation
% 5.49/1.59  % (3245429)Time elapsed: 0.094 s
% 5.49/1.59  % (3245429)Peak memory usage: 93 MB
% 5.49/1.59  % (3245429)Instructions burned: 287 (million)
% 5.49/1.59  % (3245430)Instruction limit reached! 
% 5.49/1.59  % (3245430)------------------------------
% 5.49/1.59  % (3245430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.49/1.59  % (3245430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.59  % (3245430)CaDiCaL version: 2.1.3
% 5.49/1.59  % (3245430)Termination reason: Instruction limit
% 5.49/1.59  % (3245430)Termination phase: Saturation
% 5.49/1.59  % (3245430)Time elapsed: 0.077 s
% 5.49/1.59  % (3245430)Peak memory usage: 93 MB
% 5.49/1.59  % (3245430)Instructions burned: 157 (million)
% 5.49/1.59  % (3245432)Instruction limit reached! 
% 5.49/1.59  % (3245432)------------------------------
% 5.49/1.59  % (3245432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.49/1.59  % (3245432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.59  % (3245432)CaDiCaL version: 2.1.3
% 5.49/1.59  % (3245432)Termination reason: Instruction limit
% 5.49/1.59  % (3245432)Termination phase: Saturation
% 5.49/1.59  % (3245432)Time elapsed: 0.086 s
% 5.49/1.59  % (3245432)Peak memory usage: 94 MB
% 5.49/1.59  % (3245432)Instructions burned: 249 (million)
% 5.49/1.59  % (3245437)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4169758611:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 5.49/1.59  % (3245439)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2315216612:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 5.49/1.59  % (3245431)Instruction limit reached! 
% 5.49/1.59  % (3245431)------------------------------
% 5.49/1.59  % (3245431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.49/1.59  % (3245431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.59  % (3245431)CaDiCaL version: 2.1.3
% 5.49/1.59  % (3245431)Termination reason: Instruction limit
% 5.49/1.59  % (3245431)Termination phase: Saturation
% 5.49/1.59  % (3245431)Time elapsed: 0.203 s
% 5.49/1.59  % (3245431)Peak memory usage: 92 MB
% 5.49/1.59  % (3245431)Instructions burned: 325 (million)
% 5.49/1.59  % (3245438)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1295423673:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 5.49/1.59  % (3245439)Instruction limit reached! 
% 5.49/1.59  % (3245439)------------------------------
% 5.49/1.59  % (3245439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.49/1.59  % (3245439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.59  % (3245439)CaDiCaL version: 2.1.3
% 5.49/1.59  % (3245439)Termination reason: Instruction limit
% 5.49/1.59  % (3245439)Termination phase: Saturation
% 5.49/1.59  % (3245439)Time elapsed: 0.040 s
% 5.49/1.59  % (3245439)Peak memory usage: 90 MB
% 5.49/1.59  % (3245439)Instructions burned: 113 (million)
% 5.49/1.59  % (3245444)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2862444858:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 5.49/1.59  % (3245442)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1036917462:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 5.49/1.59  % (3245444)Instruction limit reached! 
% 5.49/1.59  % (3245444)------------------------------
% 5.49/1.59  % (3245444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.49/1.59  % (3245444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.59  % (3245444)CaDiCaL version: 2.1.3
% 5.49/1.59  % (3245444)Termination reason: Instruction limit
% 5.49/1.59  % (3245444)Termination phase: Saturation
% 5.49/1.59  % (3245444)Time elapsed: 0.036 s
% 5.49/1.59  % (3245444)Peak memory usage: 89 MB
% 5.49/1.59  % (3245444)Instructions burned: 115 (million)
% 5.49/1.59  % (3245437)Instruction limit reached! 
% 5.49/1.59  % (3245437)------------------------------
% 5.49/1.59  % (3245437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.49/1.59  % (3245437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.59  % (3245437)CaDiCaL version: 2.1.3
% 5.49/1.59  % (3245437)Termination reason: Instruction limit
% 5.49/1.59  % (3245437)Termination phase: Saturation
% 5.49/1.59  % (3245437)Time elapsed: 0.182 s
% 5.49/1.59  % (3245437)Peak memory usage: 90 MB
% 5.49/1.59  % (3245437)Instructions burned: 294 (million)
% 5.49/1.59  % (3245442)Instruction limit reached! 
% 5.49/1.59  % (3245442)------------------------------
% 5.49/1.59  % (3245442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.49/1.59  % (3245442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.59  % (3245442)CaDiCaL version: 2.1.3
% 5.49/1.59  % (3245442)Termination reason: Instruction limit
% 5.49/1.59  % (3245442)Termination phase: Saturation
% 5.49/1.59  % (3245442)Time elapsed: 0.064 s
% 5.49/1.59  % (3245442)Peak memory usage: 90 MB
% 5.49/1.59  % (3245442)Instructions burned: 128 (million)
% 5.49/1.59  % (3245447)lrs+10_1_sil=8000:sp=occurrence:random_seed=3563551754:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 5.49/1.59  % (3245448)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1271761769:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 5.49/1.59  % (3245415)First to succeed.
% 5.49/1.59  % (3245415)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3245410"
% 5.49/1.59  % (3245449)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1067180713:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 5.49/1.59  % (3245415)Refutation found. Thanks to Tanya!
% 5.49/1.59  % SZS status Theorem for theBenchmark
% 5.49/1.59  % SZS output start Proof for theBenchmark
% See solution above
% 7.21/1.68  % (3245415)------------------------------
% 7.21/1.68  % (3245415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/1.68  % (3245415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/1.68  % (3245415)CaDiCaL version: 2.1.3
% 7.21/1.68  % (3245415)Termination reason: Refutation
% 7.21/1.68  % (3245415)Time elapsed: 0.696 s
% 7.21/1.68  % (3245415)Peak memory usage: 132 MB
% 7.21/1.68  % (3245415)Instructions burned: 1194 (million)
% 7.21/1.68  % (3245415)------------------------------
% 7.21/1.68  % (3245415)------------------------------
% 7.21/1.68  % (3245410)Success in time 0.989 s
% 7.21/1.68  % Vampire exiting
%------------------------------------------------------------------------------