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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWC376+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n026.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 01:03:42 PM UTC 2026

% Result   : Theorem 4.92s 1.49s
% Output   : Refutation 6.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   34
% Syntax   : Number of formulae    :  265 (  37 unt;  23 def)
%            Number of atoms       : 1030 ( 139 equ)
%            Maximal formula atoms :   26 (   3 avg)
%            Number of connectives : 1361 ( 596   ~; 641   |;  70   &)
%                                         (  25 <=>;  29  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   25 (  23 usr;  20 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  10 con; 0-2 aty)
%            Number of variables   :  156 (   0 sgn 138   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).

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

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

fof(f22,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ssItem(hd(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).

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

fof(f26,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ssList(app(X0,X1)) ) ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ax37) ).

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

fof(f78,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => cons(hd(X0),tl(X0)) = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( X1 != X3
                    | X0 != X2
                    | ! [X4] :
                        ( ssItem(X4)
                       => ( ( ~ memberP(X1,X4)
                            & ~ memberP(X0,X4) )
                          | ( memberP(X1,X4)
                            & memberP(X0,X4) ) ) )
                    | ( nil != X2
                      & nil = X3 )
                    | ( neq(X3,nil)
                      & ( ~ neq(X2,nil)
                        | ? [X5] :
                            ( ssList(X5)
                            & X3 != X5
                            & ? [X6] :
                                ( ssList(X6)
                                & ? [X7] :
                                    ( ssList(X7)
                                    & tl(X2) = X6
                                    & app(X6,X7) = X5
                                    & ? [X8] :
                                        ( ssItem(X8)
                                        & cons(X8,nil) = X7
                                        & hd(X2) = X8
                                        & neq(nil,X2) )
                                    & neq(nil,X2) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( X1 != X3
                      | X0 != X2
                      | ! [X4] :
                          ( ssItem(X4)
                         => ( ( ~ memberP(X1,X4)
                              & ~ memberP(X0,X4) )
                            | ( memberP(X1,X4)
                              & memberP(X0,X4) ) ) )
                      | ( nil != X2
                        & nil = X3 )
                      | ( neq(X3,nil)
                        & ( ~ neq(X2,nil)
                          | ? [X5] :
                              ( ssList(X5)
                              & X3 != X5
                              & ? [X6] :
                                  ( ssList(X6)
                                  & ? [X7] :
                                      ( ssList(X7)
                                      & tl(X2) = X6
                                      & app(X6,X7) = X5
                                      & ? [X8] :
                                          ( ssItem(X8)
                                          & cons(X8,nil) = X7
                                          & hd(X2) = X8
                                          & neq(nil,X2) )
                                      & neq(nil,X2) ) ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f96]) ).

fof(f118,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( neq(X0,X1)
          <=> X0 != X1 )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f15]) ).

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

fof(f126,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f127,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f126]) ).

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(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(f192,plain,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f78]) ).

fof(f193,plain,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f192]) ).

fof(f221,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & X0 = X2
                  & ? [X4] :
                      ( ( memberP(X1,X4)
                        | memberP(X0,X4) )
                      & ( ~ memberP(X1,X4)
                        | ~ memberP(X0,X4) )
                      & ssItem(X4) )
                  & ( nil = X2
                    | nil != X3 )
                  & ( ~ neq(X3,nil)
                    | ( neq(X2,nil)
                      & ! [X5] :
                          ( ~ ssList(X5)
                          | X3 = X5
                          | ! [X6] :
                              ( ~ ssList(X6)
                              | ! [X7] :
                                  ( ~ ssList(X7)
                                  | tl(X2) != X6
                                  | app(X6,X7) != X5
                                  | ! [X8] :
                                      ( ~ ssItem(X8)
                                      | cons(X8,nil) != X7
                                      | hd(X2) != X8
                                      | ~ neq(nil,X2) )
                                  | ~ neq(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] :
                      ( ( memberP(X1,X4)
                        | memberP(X0,X4) )
                      & ( ~ memberP(X1,X4)
                        | ~ memberP(X0,X4) )
                      & ssItem(X4) )
                  & ( nil = X2
                    | nil != X3 )
                  & ( ~ neq(X3,nil)
                    | ( neq(X2,nil)
                      & ! [X5] :
                          ( ~ ssList(X5)
                          | X3 = X5
                          | ! [X6] :
                              ( ~ ssList(X6)
                              | ! [X7] :
                                  ( ~ ssList(X7)
                                  | tl(X2) != X6
                                  | app(X6,X7) != X5
                                  | ! [X8] :
                                      ( ~ ssItem(X8)
                                      | cons(X8,nil) != X7
                                      | hd(X2) != X8
                                      | ~ neq(nil,X2) )
                                  | ~ neq(nil,X2) ) ) ) ) )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f221]) ).

fof(f273,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f118]) ).

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(f296,plain,
    ( sK54 = sK56
    & sK53 = sK55
    & ( memberP(sK54,sK57)
      | memberP(sK53,sK57) )
    & ( ~ memberP(sK54,sK57)
      | ~ memberP(sK53,sK57) )
    & ssItem(sK57)
    & ( nil = sK55
      | nil != sK56 )
    & ( ~ neq(sK56,nil)
      | ( neq(sK55,nil)
        & ! [X5] :
            ( ~ ssList(X5)
            | sK56 = X5
            | ! [X6] :
                ( ~ ssList(X6)
                | ! [X7] :
                    ( ~ ssList(X7)
                    | tl(sK55) != X6
                    | app(X6,X7) != X5
                    | ! [X8] :
                        ( ~ ssItem(X8)
                        | cons(X8,nil) != X7
                        | hd(sK55) != X8
                        | ~ neq(nil,sK55) )
                    | ~ neq(nil,sK55) ) ) ) ) )
    & ssList(sK56)
    & ssList(sK55)
    & ssList(sK54)
    & ssList(sK53) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56),skolemize(X4,sK57)],[f222]) ).

fof(f386,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ neq(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f273]) ).

fof(f387,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f273]) ).

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(f397,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f127]) ).

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

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

fof(f413,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(app(X1,X2),X0)
      | memberP(X2,X0)
      | memberP(X1,X0)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f278]) ).

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(f417,plain,
    ! [X2,X0,X1] :
      ( memberP(cons(X1,X2),X0)
      | ~ memberP(X2,X0)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f280]) ).

fof(f418,plain,
    ! [X2,X0,X1] :
      ( memberP(cons(X1,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(f474,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | cons(hd(X0),tl(X0)) = X0 ),
    inference(cnf_transformation,[],[f193]) ).

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

fof(f497,plain,
    ssList(sK54),
    inference(cnf_transformation,[],[f296]) ).

fof(f500,plain,
    ! [X8,X6,X7,X5] :
      ( ~ neq(sK56,nil)
      | ~ ssList(X5)
      | sK56 = X5
      | ~ ssList(X6)
      | ~ ssList(X7)
      | tl(sK55) != X6
      | app(X6,X7) != X5
      | ~ ssItem(X8)
      | cons(X8,nil) != X7
      | hd(sK55) != X8
      | ~ neq(nil,sK55)
      | ~ neq(nil,sK55) ),
    inference(cnf_transformation,[],[f296]) ).

fof(f501,plain,
    ( ~ neq(sK56,nil)
    | neq(sK55,nil) ),
    inference(cnf_transformation,[],[f296]) ).

fof(f502,plain,
    ( nil = sK55
    | nil != sK56 ),
    inference(cnf_transformation,[],[f296]) ).

fof(f503,plain,
    ssItem(sK57),
    inference(cnf_transformation,[],[f296]) ).

fof(f504,plain,
    ( ~ memberP(sK54,sK57)
    | ~ memberP(sK53,sK57) ),
    inference(cnf_transformation,[],[f296]) ).

fof(f505,plain,
    ( memberP(sK54,sK57)
    | memberP(sK53,sK57) ),
    inference(cnf_transformation,[],[f296]) ).

fof(f506,plain,
    sK53 = sK55,
    inference(cnf_transformation,[],[f296]) ).

fof(f507,plain,
    sK54 = sK56,
    inference(cnf_transformation,[],[f296]) ).

fof(f508,plain,
    ( memberP(sK56,sK57)
    | memberP(sK55,sK57) ),
    inference(definition_unfolding,[],[f505,f507,f506]) ).

fof(f509,plain,
    ( ~ memberP(sK56,sK57)
    | ~ memberP(sK55,sK57) ),
    inference(definition_unfolding,[],[f504,f507,f506]) ).

fof(f510,plain,
    ssList(sK56),
    inference(definition_unfolding,[],[f497,f507]) ).

fof(f511,plain,
    ssList(sK55),
    inference(definition_unfolding,[],[f496,f506]) ).

fof(f526,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f386]) ).

fof(f527,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X1) ),
    inference(equality_resolution,[],[f418]) ).

fof(f539,plain,
    ! [X8,X7,X5] :
      ( ~ neq(sK56,nil)
      | ~ ssList(X5)
      | sK56 = X5
      | ~ ssList(tl(sK55))
      | ~ ssList(X7)
      | app(tl(sK55),X7) != X5
      | ~ ssItem(X8)
      | cons(X8,nil) != X7
      | hd(sK55) != X8
      | ~ neq(nil,sK55)
      | ~ neq(nil,sK55) ),
    inference(equality_resolution,[],[f500]) ).

fof(f540,plain,
    ! [X8,X7] :
      ( ~ neq(sK56,nil)
      | ~ ssList(app(tl(sK55),X7))
      | sK56 = app(tl(sK55),X7)
      | ~ ssList(tl(sK55))
      | ~ ssList(X7)
      | ~ ssItem(X8)
      | cons(X8,nil) != X7
      | hd(sK55) != X8
      | ~ neq(nil,sK55)
      | ~ neq(nil,sK55) ),
    inference(equality_resolution,[],[f539]) ).

fof(f541,plain,
    ! [X8] :
      ( ~ neq(sK56,nil)
      | ~ ssList(app(tl(sK55),cons(X8,nil)))
      | sK56 = app(tl(sK55),cons(X8,nil))
      | ~ ssList(tl(sK55))
      | ~ ssList(cons(X8,nil))
      | ~ ssItem(X8)
      | hd(sK55) != X8
      | ~ neq(nil,sK55)
      | ~ neq(nil,sK55) ),
    inference(equality_resolution,[],[f540]) ).

fof(f542,plain,
    ( ~ neq(sK56,nil)
    | ~ ssList(app(tl(sK55),cons(hd(sK55),nil)))
    | sK56 = app(tl(sK55),cons(hd(sK55),nil))
    | ~ ssList(tl(sK55))
    | ~ ssList(cons(hd(sK55),nil))
    | ~ ssItem(hd(sK55))
    | ~ neq(nil,sK55)
    | ~ neq(nil,sK55) ),
    inference(equality_resolution,[],[f541]) ).

fof(f543,definition,
    sF58 = tl(sK55),
    introduced(definition,[new_symbols(definition,[sF58])],[function_definition]) ).

fof(f544,plain,
    tl(sK55) = sF58,
    inference(reorient_equations,[],[f543]) ).

fof(f545,definition,
    sF59 = hd(sK55),
    introduced(definition,[new_symbols(definition,[sF59])],[function_definition]) ).

fof(f546,plain,
    hd(sK55) = sF59,
    inference(reorient_equations,[],[f545]) ).

fof(f547,definition,
    sF60 = cons(sF59,nil),
    introduced(definition,[new_symbols(definition,[sF60])],[function_definition]) ).

fof(f548,plain,
    cons(sF59,nil) = sF60,
    inference(reorient_equations,[],[f547]) ).

fof(f549,definition,
    sF61 = app(sF58,sF60),
    introduced(definition,[new_symbols(definition,[sF61])],[function_definition]) ).

fof(f550,plain,
    app(sF58,sF60) = sF61,
    inference(reorient_equations,[],[f549]) ).

fof(f551,plain,
    ( ~ neq(sK56,nil)
    | ~ ssList(sF61)
    | sK56 = sF61
    | ~ ssList(sF58)
    | ~ ssList(sF60)
    | ~ ssItem(sF59)
    | ~ neq(nil,sK55)
    | ~ neq(nil,sK55) ),
    inference(definition_folding,[],[f542,f546,f548,f546,f544,f550,f548,f546,f544,f550,f548,f546,f544]) ).

fof(f552,plain,
    ( ~ neq(sK56,nil)
    | ~ ssList(sF61)
    | sK56 = sF61
    | ~ ssList(sF58)
    | ~ ssList(sF60)
    | ~ ssItem(sF59)
    | ~ neq(nil,sK55) ),
    inference(duplicate_literal_removal,[],[f551]) ).

fof(f556,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssItem(X1) ),
    inference(duplicate_literal_removal,[],[f527]) ).

fof(f557,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f526]) ).

fof(f561,definition,
    ( spl62_1
  <=> neq(nil,sK55) ),
    introduced(definition,[new_symbols(definition,[spl62_1])],[avatar_definition]) ).

fof(f563,plain,
    ( ~ neq(nil,sK55)
    | spl62_1 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f565,definition,
    ( spl62_2
  <=> ssItem(sF59) ),
    introduced(definition,[new_symbols(definition,[spl62_2])],[avatar_definition]) ).

fof(f566,plain,
    ( ssItem(sF59)
    | ~ spl62_2 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f567,plain,
    ( ~ ssItem(sF59)
    | spl62_2 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f569,definition,
    ( spl62_3
  <=> ssList(sF60) ),
    introduced(definition,[new_symbols(definition,[spl62_3])],[avatar_definition]) ).

fof(f570,plain,
    ( ssList(sF60)
    | ~ spl62_3 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f571,plain,
    ( ~ ssList(sF60)
    | spl62_3 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f573,definition,
    ( spl62_4
  <=> ssList(sF58) ),
    introduced(definition,[new_symbols(definition,[spl62_4])],[avatar_definition]) ).

fof(f574,plain,
    ( ssList(sF58)
    | ~ spl62_4 ),
    inference(avatar_component_clause,[],[f573]) ).

fof(f577,definition,
    ( spl62_5
  <=> sK56 = sF61 ),
    introduced(definition,[new_symbols(definition,[spl62_5])],[avatar_definition]) ).

fof(f579,plain,
    ( sK56 = sF61
    | ~ spl62_5 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f581,definition,
    ( spl62_6
  <=> ssList(sF61) ),
    introduced(definition,[new_symbols(definition,[spl62_6])],[avatar_definition]) ).

fof(f585,definition,
    ( spl62_7
  <=> neq(sK56,nil) ),
    introduced(definition,[new_symbols(definition,[spl62_7])],[avatar_definition]) ).

fof(f587,plain,
    ( ~ neq(sK56,nil)
    | spl62_7 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f588,plain,
    ( ~ spl62_1
    | ~ spl62_2
    | ~ spl62_3
    | ~ spl62_4
    | spl62_5
    | ~ spl62_6
    | ~ spl62_7 ),
    inference(avatar_split_clause,[],[f552,f585,f581,f577,f573,f569,f565,f561]) ).

fof(f590,definition,
    ( spl62_8
  <=> neq(sK55,nil) ),
    introduced(definition,[new_symbols(definition,[spl62_8])],[avatar_definition]) ).

fof(f592,plain,
    ( neq(sK55,nil)
    | ~ spl62_8 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f593,plain,
    ( spl62_8
    | ~ spl62_7 ),
    inference(avatar_split_clause,[],[f501,f585,f590]) ).

fof(f595,definition,
    ( spl62_9
  <=> nil = sK56 ),
    introduced(definition,[new_symbols(definition,[spl62_9])],[avatar_definition]) ).

fof(f596,plain,
    ( nil = sK56
    | ~ spl62_9 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f597,plain,
    ( nil != sK56
    | spl62_9 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f599,definition,
    ( spl62_10
  <=> nil = sK55 ),
    introduced(definition,[new_symbols(definition,[spl62_10])],[avatar_definition]) ).

fof(f600,plain,
    ( nil != sK55
    | spl62_10 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f601,plain,
    ( nil = sK55
    | ~ spl62_10 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f602,plain,
    ( ~ spl62_9
    | spl62_10 ),
    inference(avatar_split_clause,[],[f502,f599,f595]) ).

fof(f604,definition,
    ( spl62_11
  <=> memberP(sK55,sK57) ),
    introduced(definition,[new_symbols(definition,[spl62_11])],[avatar_definition]) ).

fof(f605,plain,
    ( memberP(sK55,sK57)
    | ~ spl62_11 ),
    inference(avatar_component_clause,[],[f604]) ).

fof(f606,plain,
    ( ~ memberP(sK55,sK57)
    | spl62_11 ),
    inference(avatar_component_clause,[],[f604]) ).

fof(f608,definition,
    ( spl62_12
  <=> memberP(sK56,sK57) ),
    introduced(definition,[new_symbols(definition,[spl62_12])],[avatar_definition]) ).

fof(f609,plain,
    ( memberP(sK56,sK57)
    | ~ spl62_12 ),
    inference(avatar_component_clause,[],[f608]) ).

fof(f610,plain,
    ( ~ memberP(sK56,sK57)
    | spl62_12 ),
    inference(avatar_component_clause,[],[f608]) ).

fof(f611,plain,
    ( ~ spl62_11
    | ~ spl62_12 ),
    inference(avatar_split_clause,[],[f509,f608,f604]) ).

fof(f612,plain,
    ( spl62_11
    | spl62_12 ),
    inference(avatar_split_clause,[],[f508,f608,f604]) ).

fof(f614,definition,
    ( spl62_13
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl62_13])],[avatar_definition]) ).

fof(f615,plain,
    ( ssList(nil)
    | ~ spl62_13 ),
    inference(avatar_component_clause,[],[f614]) ).

fof(f642,plain,
    spl62_13,
    inference(avatar_split_clause,[],[f389,f614]) ).

fof(f645,plain,
    ! [X0] :
      ( memberP(sF61,X0)
      | ~ memberP(sF60,X0)
      | ~ ssList(sF60)
      | ~ ssList(sF58)
      | ~ ssItem(X0) ),
    inference(superposition,[],[f414,f550]) ).

fof(f647,definition,
    ( spl62_19
  <=> ! [X0] :
        ( memberP(sF61,X0)
        | ~ ssItem(X0)
        | ~ memberP(sF60,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl62_19])],[avatar_definition]) ).

fof(f648,plain,
    ( ! [X0] :
        ( ~ memberP(sF60,X0)
        | ~ ssItem(X0)
        | memberP(sF61,X0) )
    | ~ spl62_19 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f649,plain,
    ( ~ spl62_4
    | ~ spl62_3
    | spl62_19 ),
    inference(avatar_split_clause,[],[f645,f647,f569,f573]) ).

fof(f650,plain,
    ! [X0] :
      ( memberP(sF61,X0)
      | ~ memberP(sF58,X0)
      | ~ ssList(sF60)
      | ~ ssList(sF58)
      | ~ ssItem(X0) ),
    inference(superposition,[],[f415,f550]) ).

fof(f651,plain,
    ! [X0] :
      ( ~ memberP(sF60,X0)
      | memberP(nil,X0)
      | sF59 = X0
      | ~ ssList(nil)
      | ~ ssItem(sF59)
      | ~ ssItem(X0) ),
    inference(superposition,[],[f416,f548]) ).

fof(f652,plain,
    ( ! [X0] :
        ( ~ memberP(sF60,X0)
        | memberP(nil,X0)
        | sF59 = X0
        | ~ ssItem(sF59)
        | ~ ssItem(X0) )
    | ~ spl62_13 ),
    inference(forward_subsumption_resolution,[],[f651,f615]) ).

fof(f653,plain,
    ( ! [X0] :
        ( ~ memberP(sF60,X0)
        | sF59 = X0
        | ~ ssItem(sF59)
        | ~ ssItem(X0) )
    | ~ spl62_13 ),
    inference(forward_subsumption_resolution,[],[f652,f419]) ).

fof(f655,definition,
    ( spl62_20
  <=> ! [X0] :
        ( ~ memberP(sF60,X0)
        | ~ ssItem(X0)
        | sF59 = X0 ) ),
    introduced(definition,[new_symbols(definition,[spl62_20])],[avatar_definition]) ).

fof(f656,plain,
    ( ! [X0] :
        ( ~ memberP(sF60,X0)
        | ~ ssItem(X0)
        | sF59 = X0 )
    | ~ spl62_20 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f657,plain,
    ( ~ spl62_2
    | spl62_20
    | ~ spl62_13 ),
    inference(avatar_split_clause,[],[f653,f614,f655,f565]) ).

fof(f660,plain,
    ! [X0] :
      ( ~ memberP(sF61,X0)
      | memberP(sF60,X0)
      | memberP(sF58,X0)
      | ~ ssList(sF60)
      | ~ ssList(sF58)
      | ~ ssItem(X0) ),
    inference(superposition,[],[f413,f550]) ).

fof(f663,plain,
    ( nil = sK56
    | ~ ssList(nil)
    | ~ ssList(sK56)
    | spl62_7 ),
    inference(resolution,[],[f387,f587]) ).

fof(f664,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK56)
    | spl62_7
    | spl62_9 ),
    inference(forward_subsumption_resolution,[],[f663,f597]) ).

fof(f665,plain,
    ( ~ ssList(sK56)
    | spl62_7
    | spl62_9
    | ~ spl62_13 ),
    inference(forward_subsumption_resolution,[],[f664,f615]) ).

fof(f666,plain,
    ( $false
    | spl62_7
    | spl62_9
    | ~ spl62_13 ),
    inference(forward_subsumption_resolution,[],[f665,f510]) ).

fof(f667,plain,
    ( spl62_7
    | spl62_9
    | ~ spl62_13 ),
    inference(avatar_contradiction_clause,[],[f666]) ).

fof(f669,plain,
    ( nil = sK55
    | sK55 = cons(hd(sK55),tl(sK55)) ),
    inference(resolution,[],[f474,f511]) ).

fof(f670,plain,
    ( sK55 = cons(hd(sK55),sF58)
    | nil = sK55 ),
    inference(forward_demodulation,[],[f669,f544]) ).

fof(f672,plain,
    ( sK55 = cons(sF59,sF58)
    | nil = sK55 ),
    inference(forward_demodulation,[],[f670,f546]) ).

fof(f674,definition,
    ( spl62_21
  <=> sK55 = cons(sF59,sF58) ),
    introduced(definition,[new_symbols(definition,[spl62_21])],[avatar_definition]) ).

fof(f676,plain,
    ( sK55 = cons(sF59,sF58)
    | ~ spl62_21 ),
    inference(avatar_component_clause,[],[f674]) ).

fof(f677,plain,
    ( spl62_10
    | spl62_21 ),
    inference(avatar_split_clause,[],[f672,f674,f599]) ).

fof(f681,plain,
    ( memberP(nil,sK57)
    | ~ spl62_10
    | ~ spl62_11 ),
    inference(superposition,[],[f605,f601]) ).

fof(f682,plain,
    ( ~ ssItem(sK57)
    | ~ spl62_10
    | ~ spl62_11 ),
    inference(resolution,[],[f419,f681]) ).

fof(f683,plain,
    ( $false
    | ~ spl62_10
    | ~ spl62_11 ),
    inference(forward_subsumption_resolution,[],[f682,f503]) ).

fof(f684,plain,
    ( ~ spl62_10
    | ~ spl62_11 ),
    inference(avatar_contradiction_clause,[],[f683]) ).

fof(f685,plain,
    ( ~ memberP(nil,sK57)
    | ~ spl62_10
    | spl62_11 ),
    inference(forward_demodulation,[],[f606,f601]) ).

fof(f691,plain,
    ( ssList(sF60)
    | ~ ssItem(sF59)
    | ~ ssList(nil) ),
    inference(superposition,[],[f388,f548]) ).

fof(f693,plain,
    ( neq(nil,nil)
    | ~ spl62_8
    | ~ spl62_10 ),
    inference(superposition,[],[f592,f601]) ).

fof(f695,plain,
    ( memberP(sF60,sF59)
    | ~ ssList(nil)
    | ~ ssItem(sF59) ),
    inference(superposition,[],[f556,f548]) ).

fof(f698,plain,
    ( ssList(sF58)
    | nil = sK55
    | ~ ssList(sK55) ),
    inference(superposition,[],[f399,f544]) ).

fof(f700,plain,
    ( ssList(sF61)
    | ~ ssList(sF60)
    | ~ ssList(sF58) ),
    inference(superposition,[],[f401,f550]) ).

fof(f701,plain,
    ( ssItem(sF59)
    | nil = sK55
    | ~ ssList(sK55) ),
    inference(superposition,[],[f397,f546]) ).

fof(f710,plain,
    ( ~ ssList(nil)
    | ~ spl62_8
    | ~ spl62_10 ),
    inference(resolution,[],[f557,f693]) ).

fof(f712,plain,
    ( $false
    | ~ spl62_8
    | ~ spl62_10
    | ~ spl62_13 ),
    inference(forward_subsumption_resolution,[],[f710,f615]) ).

fof(f713,plain,
    ( ~ spl62_8
    | ~ spl62_10
    | ~ spl62_13 ),
    inference(avatar_contradiction_clause,[],[f712]) ).

fof(f714,plain,
    ( ssList(sF58)
    | ~ ssList(sK55)
    | spl62_10 ),
    inference(forward_subsumption_resolution,[],[f698,f600]) ).

fof(f715,plain,
    ( nil = sK55
    | ~ ssList(sK55)
    | spl62_2 ),
    inference(forward_subsumption_resolution,[],[f701,f567]) ).

fof(f716,plain,
    ( ssList(sF58)
    | spl62_10 ),
    inference(forward_subsumption_resolution,[],[f714,f511]) ).

fof(f717,plain,
    ( ~ ssList(sK55)
    | spl62_2
    | spl62_10 ),
    inference(forward_subsumption_resolution,[],[f715,f600]) ).

fof(f718,plain,
    ( spl62_4
    | spl62_10 ),
    inference(avatar_split_clause,[],[f716,f599,f573]) ).

fof(f719,plain,
    ( $false
    | spl62_2
    | spl62_10 ),
    inference(forward_subsumption_resolution,[],[f717,f511]) ).

fof(f720,plain,
    ( spl62_2
    | spl62_10 ),
    inference(avatar_contradiction_clause,[],[f719]) ).

fof(f721,plain,
    ( ~ ssItem(sF59)
    | ~ ssList(nil)
    | spl62_3 ),
    inference(forward_subsumption_resolution,[],[f691,f571]) ).

fof(f722,plain,
    ( memberP(sF60,sF59)
    | ~ ssItem(sF59)
    | ~ spl62_13 ),
    inference(forward_subsumption_resolution,[],[f695,f615]) ).

fof(f723,plain,
    ( ~ ssList(nil)
    | ~ spl62_2
    | spl62_3 ),
    inference(forward_subsumption_resolution,[],[f721,f566]) ).

fof(f725,plain,
    ( $false
    | ~ spl62_2
    | spl62_3
    | ~ spl62_13 ),
    inference(forward_subsumption_resolution,[],[f723,f615]) ).

fof(f726,plain,
    ( ~ spl62_2
    | spl62_3
    | ~ spl62_13 ),
    inference(avatar_contradiction_clause,[],[f725]) ).

fof(f733,plain,
    ( memberP(nil,sK57)
    | ~ spl62_9
    | ~ spl62_12 ),
    inference(superposition,[],[f609,f596]) ).

fof(f735,plain,
    ( $false
    | ~ spl62_9
    | ~ spl62_10
    | spl62_11
    | ~ spl62_12 ),
    inference(forward_subsumption_resolution,[],[f733,f685]) ).

fof(f736,plain,
    ( ~ spl62_9
    | ~ spl62_10
    | spl62_11
    | ~ spl62_12 ),
    inference(avatar_contradiction_clause,[],[f735]) ).

fof(f738,plain,
    ( ! [X0] :
        ( memberP(sF61,X0)
        | ~ memberP(sF58,X0)
        | ~ ssList(sF58)
        | ~ ssItem(X0) )
    | ~ spl62_3 ),
    inference(forward_subsumption_resolution,[],[f650,f570]) ).

fof(f739,plain,
    ( ! [X0] :
        ( ~ memberP(sF61,X0)
        | memberP(sF60,X0)
        | memberP(sF58,X0)
        | ~ ssList(sF58)
        | ~ ssItem(X0) )
    | ~ spl62_3 ),
    inference(forward_subsumption_resolution,[],[f660,f570]) ).

fof(f740,plain,
    ( ssList(sF61)
    | ~ ssList(sF58)
    | ~ spl62_3 ),
    inference(forward_subsumption_resolution,[],[f700,f570]) ).

fof(f741,plain,
    ( memberP(sF60,sF59)
    | ~ spl62_2
    | ~ spl62_13 ),
    inference(forward_subsumption_resolution,[],[f722,f566]) ).

fof(f742,plain,
    ( ! [X0] :
        ( ~ memberP(sF58,X0)
        | memberP(sF61,X0)
        | ~ ssItem(X0) )
    | ~ spl62_3
    | ~ spl62_4 ),
    inference(forward_subsumption_resolution,[],[f738,f574]) ).

fof(f743,plain,
    ( ! [X0] :
        ( ~ memberP(sF61,X0)
        | memberP(sF60,X0)
        | memberP(sF58,X0)
        | ~ ssItem(X0) )
    | ~ spl62_3
    | ~ spl62_4 ),
    inference(forward_subsumption_resolution,[],[f739,f574]) ).

fof(f744,plain,
    ( ssList(sF61)
    | ~ spl62_3
    | ~ spl62_4 ),
    inference(forward_subsumption_resolution,[],[f740,f574]) ).

fof(f745,plain,
    ( spl62_6
    | ~ spl62_3
    | ~ spl62_4 ),
    inference(avatar_split_clause,[],[f744,f573,f569,f581]) ).

fof(f746,plain,
    ( nil = sK55
    | ~ ssList(sK55)
    | ~ ssList(nil)
    | spl62_1 ),
    inference(resolution,[],[f563,f387]) ).

fof(f747,plain,
    ( ~ ssList(sK55)
    | ~ ssList(nil)
    | spl62_1
    | spl62_10 ),
    inference(forward_subsumption_resolution,[],[f746,f600]) ).

fof(f748,plain,
    ( ~ ssList(nil)
    | spl62_1
    | spl62_10 ),
    inference(forward_subsumption_resolution,[],[f747,f511]) ).

fof(f749,plain,
    ( $false
    | spl62_1
    | spl62_10
    | ~ spl62_13 ),
    inference(forward_subsumption_resolution,[],[f748,f615]) ).

fof(f750,plain,
    ( spl62_1
    | spl62_10
    | ~ spl62_13 ),
    inference(avatar_contradiction_clause,[],[f749]) ).

fof(f774,plain,
    ( ~ ssItem(sF59)
    | memberP(sF61,sF59)
    | ~ spl62_2
    | ~ spl62_13
    | ~ spl62_19 ),
    inference(resolution,[],[f741,f648]) ).

fof(f775,plain,
    ( memberP(sF61,sF59)
    | ~ spl62_2
    | ~ spl62_13
    | ~ spl62_19 ),
    inference(forward_subsumption_resolution,[],[f774,f566]) ).

fof(f776,plain,
    ( memberP(sK56,sF59)
    | ~ spl62_2
    | ~ spl62_5
    | ~ spl62_13
    | ~ spl62_19 ),
    inference(forward_demodulation,[],[f775,f579]) ).

fof(f777,plain,
    ( memberP(sK55,sF59)
    | ~ ssList(sF58)
    | ~ ssItem(sF59)
    | ~ spl62_21 ),
    inference(superposition,[],[f556,f676]) ).

fof(f779,plain,
    ( ! [X0] :
        ( memberP(sK55,X0)
        | ~ memberP(sF58,X0)
        | ~ ssList(sF58)
        | ~ ssItem(sF59)
        | ~ ssItem(X0) )
    | ~ spl62_21 ),
    inference(superposition,[],[f417,f676]) ).

fof(f780,plain,
    ( ! [X0] :
        ( ~ memberP(sK55,X0)
        | memberP(sF58,X0)
        | sF59 = X0
        | ~ ssList(sF58)
        | ~ ssItem(sF59)
        | ~ ssItem(X0) )
    | ~ spl62_21 ),
    inference(superposition,[],[f416,f676]) ).

fof(f781,plain,
    ( ! [X0] :
        ( ~ memberP(sK55,X0)
        | memberP(sF58,X0)
        | sF59 = X0
        | ~ ssItem(sF59)
        | ~ ssItem(X0) )
    | ~ spl62_4
    | ~ spl62_21 ),
    inference(forward_subsumption_resolution,[],[f780,f574]) ).

fof(f782,plain,
    ( ! [X0] :
        ( memberP(sK55,X0)
        | ~ memberP(sF58,X0)
        | ~ ssItem(sF59)
        | ~ ssItem(X0) )
    | ~ spl62_4
    | ~ spl62_21 ),
    inference(forward_subsumption_resolution,[],[f779,f574]) ).

fof(f783,plain,
    ( memberP(sK55,sF59)
    | ~ ssItem(sF59)
    | ~ spl62_4
    | ~ spl62_21 ),
    inference(forward_subsumption_resolution,[],[f777,f574]) ).

fof(f784,plain,
    ( ! [X0] :
        ( ~ memberP(sK55,X0)
        | memberP(sF58,X0)
        | sF59 = X0
        | ~ ssItem(X0) )
    | ~ spl62_2
    | ~ spl62_4
    | ~ spl62_21 ),
    inference(forward_subsumption_resolution,[],[f781,f566]) ).

fof(f785,plain,
    ( ! [X0] :
        ( ~ memberP(sF58,X0)
        | memberP(sK55,X0)
        | ~ ssItem(X0) )
    | ~ spl62_2
    | ~ spl62_4
    | ~ spl62_21 ),
    inference(forward_subsumption_resolution,[],[f782,f566]) ).

fof(f786,plain,
    ( memberP(sK55,sF59)
    | ~ spl62_2
    | ~ spl62_4
    | ~ spl62_21 ),
    inference(forward_subsumption_resolution,[],[f783,f566]) ).

fof(f791,plain,
    ( ! [X0] :
        ( ~ memberP(sK56,X0)
        | memberP(sF60,X0)
        | memberP(sF58,X0)
        | ~ ssItem(X0) )
    | ~ spl62_3
    | ~ spl62_4
    | ~ spl62_5 ),
    inference(superposition,[],[f743,f579]) ).

fof(f821,plain,
    ( memberP(sF60,sK57)
    | memberP(sF58,sK57)
    | ~ ssItem(sK57)
    | ~ spl62_3
    | ~ spl62_4
    | ~ spl62_5
    | ~ spl62_12 ),
    inference(resolution,[],[f791,f609]) ).

fof(f823,plain,
    ( memberP(sF60,sK57)
    | memberP(sF58,sK57)
    | ~ spl62_3
    | ~ spl62_4
    | ~ spl62_5
    | ~ spl62_12 ),
    inference(forward_subsumption_resolution,[],[f821,f503]) ).

fof(f825,definition,
    ( spl62_26
  <=> memberP(sF58,sK57) ),
    introduced(definition,[new_symbols(definition,[spl62_26])],[avatar_definition]) ).

fof(f827,plain,
    ( memberP(sF58,sK57)
    | ~ spl62_26 ),
    inference(avatar_component_clause,[],[f825]) ).

fof(f829,definition,
    ( spl62_27
  <=> memberP(sF60,sK57) ),
    introduced(definition,[new_symbols(definition,[spl62_27])],[avatar_definition]) ).

fof(f831,plain,
    ( memberP(sF60,sK57)
    | ~ spl62_27 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f832,plain,
    ( spl62_26
    | spl62_27
    | ~ spl62_3
    | ~ spl62_4
    | ~ spl62_5
    | ~ spl62_12 ),
    inference(avatar_split_clause,[],[f823,f608,f577,f573,f569,f829,f825]) ).

fof(f833,plain,
    ( ~ ssItem(sK57)
    | sK57 = sF59
    | ~ spl62_20
    | ~ spl62_27 ),
    inference(resolution,[],[f831,f656]) ).

fof(f836,plain,
    ( sK57 = sF59
    | ~ spl62_20
    | ~ spl62_27 ),
    inference(forward_subsumption_resolution,[],[f833,f503]) ).

fof(f843,plain,
    ( memberP(sK55,sK57)
    | ~ spl62_2
    | ~ spl62_4
    | ~ spl62_20
    | ~ spl62_21
    | ~ spl62_27 ),
    inference(superposition,[],[f786,f836]) ).

fof(f844,plain,
    ( $false
    | ~ spl62_2
    | ~ spl62_4
    | spl62_11
    | ~ spl62_20
    | ~ spl62_21
    | ~ spl62_27 ),
    inference(forward_subsumption_resolution,[],[f843,f606]) ).

fof(f845,plain,
    ( ~ spl62_2
    | ~ spl62_4
    | spl62_11
    | ~ spl62_20
    | ~ spl62_21
    | ~ spl62_27 ),
    inference(avatar_contradiction_clause,[],[f844]) ).

fof(f846,plain,
    ( memberP(sK55,sK57)
    | ~ ssItem(sK57)
    | ~ spl62_2
    | ~ spl62_4
    | ~ spl62_21
    | ~ spl62_26 ),
    inference(resolution,[],[f827,f785]) ).

fof(f847,plain,
    ( memberP(sF61,sK57)
    | ~ ssItem(sK57)
    | ~ spl62_3
    | ~ spl62_4
    | ~ spl62_26 ),
    inference(resolution,[],[f827,f742]) ).

fof(f848,plain,
    ( memberP(sF61,sK57)
    | ~ spl62_3
    | ~ spl62_4
    | ~ spl62_26 ),
    inference(forward_subsumption_resolution,[],[f847,f503]) ).

fof(f849,plain,
    ( ~ ssItem(sK57)
    | ~ spl62_2
    | ~ spl62_4
    | spl62_11
    | ~ spl62_21
    | ~ spl62_26 ),
    inference(forward_subsumption_resolution,[],[f846,f606]) ).

fof(f851,plain,
    ( $false
    | ~ spl62_2
    | ~ spl62_4
    | spl62_11
    | ~ spl62_21
    | ~ spl62_26 ),
    inference(forward_subsumption_resolution,[],[f849,f503]) ).

fof(f852,plain,
    ( ~ spl62_2
    | ~ spl62_4
    | spl62_11
    | ~ spl62_21
    | ~ spl62_26 ),
    inference(avatar_contradiction_clause,[],[f851]) ).

fof(f853,plain,
    ( memberP(sF58,sK57)
    | sK57 = sF59
    | ~ ssItem(sK57)
    | ~ spl62_2
    | ~ spl62_4
    | ~ spl62_11
    | ~ spl62_21 ),
    inference(resolution,[],[f605,f784]) ).

fof(f854,plain,
    ( memberP(sF58,sK57)
    | sK57 = sF59
    | ~ spl62_2
    | ~ spl62_4
    | ~ spl62_11
    | ~ spl62_21 ),
    inference(forward_subsumption_resolution,[],[f853,f503]) ).

fof(f856,definition,
    ( spl62_28
  <=> sK57 = sF59 ),
    introduced(definition,[new_symbols(definition,[spl62_28])],[avatar_definition]) ).

fof(f858,plain,
    ( sK57 = sF59
    | ~ spl62_28 ),
    inference(avatar_component_clause,[],[f856]) ).

fof(f859,plain,
    ( spl62_28
    | spl62_26
    | ~ spl62_2
    | ~ spl62_4
    | ~ spl62_11
    | ~ spl62_21 ),
    inference(avatar_split_clause,[],[f854,f674,f604,f573,f565,f825,f856]) ).

fof(f864,plain,
    ( memberP(sK56,sK57)
    | ~ spl62_2
    | ~ spl62_5
    | ~ spl62_13
    | ~ spl62_19
    | ~ spl62_28 ),
    inference(superposition,[],[f776,f858]) ).

fof(f866,plain,
    ( $false
    | ~ spl62_2
    | ~ spl62_5
    | spl62_12
    | ~ spl62_13
    | ~ spl62_19
    | ~ spl62_28 ),
    inference(forward_subsumption_resolution,[],[f864,f610]) ).

fof(f867,plain,
    ( ~ spl62_2
    | ~ spl62_5
    | spl62_12
    | ~ spl62_13
    | ~ spl62_19
    | ~ spl62_28 ),
    inference(avatar_contradiction_clause,[],[f866]) ).

fof(f872,plain,
    ( memberP(sK56,sK57)
    | ~ spl62_3
    | ~ spl62_4
    | ~ spl62_5
    | ~ spl62_26 ),
    inference(forward_demodulation,[],[f848,f579]) ).

fof(f873,plain,
    ( $false
    | ~ spl62_3
    | ~ spl62_4
    | ~ spl62_5
    | spl62_12
    | ~ spl62_26 ),
    inference(forward_subsumption_resolution,[],[f872,f610]) ).

fof(f874,plain,
    ( ~ spl62_3
    | ~ spl62_4
    | ~ spl62_5
    | spl62_12
    | ~ spl62_26 ),
    inference(avatar_contradiction_clause,[],[f873]) ).

cnf(s1,plain,
    ( ~ spl62_1
    | ~ spl62_2
    | ~ spl62_3
    | ~ spl62_4
    | spl62_5
    | ~ spl62_6
    | ~ spl62_7 ),
    inference(sat_conversion,[],[f588]) ).

cnf(s2,plain,
    ( ~ spl62_7
    | spl62_8 ),
    inference(sat_conversion,[],[f593]) ).

cnf(s3,plain,
    ( ~ spl62_9
    | spl62_10 ),
    inference(sat_conversion,[],[f602]) ).

cnf(s4,plain,
    ( ~ spl62_11
    | ~ spl62_12 ),
    inference(sat_conversion,[],[f611]) ).

cnf(s5,plain,
    ( spl62_11
    | spl62_12 ),
    inference(sat_conversion,[],[f612]) ).

cnf(s13,plain,
    spl62_13,
    inference(sat_conversion,[],[f642]) ).

cnf(s14,plain,
    ( ~ spl62_3
    | ~ spl62_4
    | spl62_19 ),
    inference(sat_conversion,[],[f649]) ).

cnf(s15,plain,
    ( ~ spl62_2
    | ~ spl62_13
    | spl62_20 ),
    inference(sat_conversion,[],[f657]) ).

cnf(s16,plain,
    ( spl62_7
    | spl62_9
    | ~ spl62_13 ),
    inference(sat_conversion,[],[f667]) ).

cnf(s17,plain,
    ( spl62_10
    | spl62_21 ),
    inference(sat_conversion,[],[f677]) ).

cnf(s18,plain,
    ( ~ spl62_10
    | ~ spl62_11 ),
    inference(sat_conversion,[],[f684]) ).

cnf(s19,plain,
    ( ~ spl62_8
    | ~ spl62_10
    | ~ spl62_13 ),
    inference(sat_conversion,[],[f713]) ).

cnf(s20,plain,
    ( spl62_4
    | spl62_10 ),
    inference(sat_conversion,[],[f718]) ).

cnf(s21,plain,
    ( spl62_2
    | spl62_10 ),
    inference(sat_conversion,[],[f720]) ).

cnf(s22,plain,
    ( ~ spl62_2
    | spl62_3
    | ~ spl62_13 ),
    inference(sat_conversion,[],[f726]) ).

cnf(s23,plain,
    ( ~ spl62_9
    | ~ spl62_10
    | spl62_11
    | ~ spl62_12 ),
    inference(sat_conversion,[],[f736]) ).

cnf(s24,plain,
    ( ~ spl62_3
    | ~ spl62_4
    | spl62_6 ),
    inference(sat_conversion,[],[f745]) ).

cnf(s25,plain,
    ( spl62_1
    | spl62_10
    | ~ spl62_13 ),
    inference(sat_conversion,[],[f750]) ).

cnf(s31,plain,
    ( ~ spl62_3
    | ~ spl62_4
    | ~ spl62_5
    | ~ spl62_12
    | spl62_26
    | spl62_27 ),
    inference(sat_conversion,[],[f832]) ).

cnf(s32,plain,
    ( ~ spl62_2
    | ~ spl62_4
    | spl62_11
    | ~ spl62_20
    | ~ spl62_21
    | ~ spl62_27 ),
    inference(sat_conversion,[],[f845]) ).

cnf(s33,plain,
    ( ~ spl62_2
    | ~ spl62_4
    | spl62_11
    | ~ spl62_21
    | ~ spl62_26 ),
    inference(sat_conversion,[],[f852]) ).

cnf(s34,plain,
    ( ~ spl62_2
    | ~ spl62_4
    | ~ spl62_11
    | ~ spl62_21
    | spl62_26
    | spl62_28 ),
    inference(sat_conversion,[],[f859]) ).

cnf(s35,plain,
    ( ~ spl62_2
    | ~ spl62_5
    | spl62_12
    | ~ spl62_13
    | ~ spl62_19
    | ~ spl62_28 ),
    inference(sat_conversion,[],[f867]) ).

cnf(s38,plain,
    ( ~ spl62_3
    | ~ spl62_4
    | ~ spl62_5
    | spl62_12
    | ~ spl62_26 ),
    inference(sat_conversion,[],[f874]) ).

cnf(s42,plain,
    ~ spl62_10,
    inference(rat,[],[s23,s16,s5,s2,s18,s19,s13]) ).

cnf(s43,plain,
    spl62_1,
    inference(rat,[],[s25,s13,s42]) ).

cnf(s44,plain,
    spl62_2,
    inference(rat,[],[s21,s42]) ).

cnf(s45,plain,
    spl62_4,
    inference(rat,[],[s20,s42]) ).

cnf(s46,plain,
    spl62_21,
    inference(rat,[],[s17,s42]) ).

cnf(s47,plain,
    ~ spl62_9,
    inference(rat,[],[s3,s42]) ).

cnf(s48,plain,
    spl62_3,
    inference(rat,[],[s22,s13,s44]) ).

cnf(s49,plain,
    spl62_20,
    inference(rat,[],[s15,s13,s44]) ).

cnf(s50,plain,
    spl62_6,
    inference(rat,[],[s24,s48,s45]) ).

cnf(s51,plain,
    spl62_19,
    inference(rat,[],[s14,s48,s45]) ).

cnf(s52,plain,
    spl62_7,
    inference(rat,[],[s16,s13,s47]) ).

cnf(s54,plain,
    spl62_5,
    inference(rat,[],[s1,s45,s50,s48,s44,s43,s52]) ).

cnf(s55,plain,
    spl62_11,
    inference(rat,[],[s31,s32,s33,s5,s48,s45,s54,s46,s49,s44]) ).

cnf(s56,plain,
    ~ spl62_12,
    inference(rat,[],[s4,s55]) ).

cnf(s57,plain,
    ~ spl62_28,
    inference(rat,[],[s35,s54,s51,s13,s44,s56]) ).

cnf(s58,plain,
    ~ spl62_26,
    inference(rat,[],[s38,s54,s45,s48,s56]) ).

cnf(s59,plain,
    $false,
    inference(rat,[],[s34,s55,s46,s45,s44,s57,s58]) ).

fof(f875,plain,
    $false,
    inference(avatar_sat_refutation,[],[s59]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC376+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20  % Computer : n026.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Mon Sep 28 09:23:57 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  Running first-order theorem proving
% 0.09/0.23  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.92/1.49  % (3717617)Detected formulas, will run a generic FOF schedule.
% 4.92/1.49  % (3717622)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=3257806311:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.92/1.49  % (3717627)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1738773512:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.92/1.49  % (3717626)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2071243411:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.92/1.49  % (3717628)dis-21_1_sil=8000:lcm=predicate:random_seed=891608659: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)
% 4.92/1.49  % (3717625)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1199897620:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.92/1.49  % (3717623)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=3605948112:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.92/1.49  % (3717624)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=2585355026:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.92/1.49  % (3717625)Instruction limit reached! 
% 4.92/1.49  % (3717625)------------------------------
% 4.92/1.49  % (3717625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.92/1.49  % (3717625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.49  % (3717625)CaDiCaL version: 2.1.3
% 4.92/1.49  % (3717625)Termination reason: Instruction limit
% 4.92/1.49  % (3717625)Termination phase: Saturation
% 4.92/1.49  % (3717625)Time elapsed: 0.061 s
% 4.92/1.49  % (3717625)Peak memory usage: 89 MB
% 4.92/1.49  % (3717625)Instructions burned: 110 (million)
% 4.92/1.49  % (3717626)Instruction limit reached! 
% 4.92/1.49  % (3717626)------------------------------
% 4.92/1.49  % (3717626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.92/1.49  % (3717626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.49  % (3717626)CaDiCaL version: 2.1.3
% 4.92/1.49  % (3717626)Termination reason: Instruction limit
% 4.92/1.49  % (3717626)Termination phase: Saturation
% 4.92/1.49  % (3717626)Time elapsed: 0.066 s
% 4.92/1.49  % (3717626)Peak memory usage: 88 MB
% 4.92/1.49  % (3717626)Instructions burned: 120 (million)
% 4.92/1.49  % (3717628)Instruction limit reached! 
% 4.92/1.49  % (3717628)------------------------------
% 4.92/1.49  % (3717628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.92/1.49  % (3717628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.49  % (3717628)CaDiCaL version: 2.1.3
% 4.92/1.49  % (3717628)Termination reason: Instruction limit
% 4.92/1.49  % (3717628)Termination phase: Saturation
% 4.92/1.49  % (3717628)Time elapsed: 0.072 s
% 4.92/1.49  % (3717628)Peak memory usage: 90 MB
% 4.92/1.49  % (3717628)Instructions burned: 130 (million)
% 4.92/1.49  % (3717627)Instruction limit reached! 
% 4.92/1.49  % (3717627)------------------------------
% 4.92/1.49  % (3717627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.92/1.49  % (3717627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.49  % (3717627)CaDiCaL version: 2.1.3
% 4.92/1.49  % (3717627)Termination reason: Instruction limit
% 4.92/1.49  % (3717627)Termination phase: Saturation
% 4.92/1.49  % (3717627)Time elapsed: 0.093 s
% 4.92/1.49  % (3717627)Peak memory usage: 90 MB
% 4.92/1.49  % (3717627)Instructions burned: 140 (million)
% 4.92/1.49  % (3717638)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1952209481:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.92/1.49  % (3717637)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3607315489:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.92/1.49  % (3717636)lrs+10_1_sil=8000:sp=occurrence:random_seed=30753496:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.92/1.49  % (3717639)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=2478136020:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.92/1.49  % (3717637)Instruction limit reached! 
% 4.92/1.49  % (3717637)------------------------------
% 4.92/1.49  % (3717637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.92/1.49  % (3717637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.49  % (3717637)CaDiCaL version: 2.1.3
% 4.92/1.49  % (3717637)Termination reason: Instruction limit
% 4.92/1.49  % (3717637)Termination phase: Saturation
% 4.92/1.49  % (3717637)Time elapsed: 0.084 s
% 4.92/1.49  % (3717637)Peak memory usage: 94 MB
% 4.92/1.49  % (3717637)Instructions burned: 158 (million)
% 4.92/1.49  % (3717639)Instruction limit reached! 
% 4.92/1.49  % (3717639)------------------------------
% 4.92/1.49  % (3717639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.92/1.49  % (3717639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.49  % (3717639)CaDiCaL version: 2.1.3
% 4.92/1.49  % (3717639)Termination reason: Instruction limit
% 4.92/1.49  % (3717639)Termination phase: Saturation
% 4.92/1.49  % (3717639)Time elapsed: 0.120 s
% 4.92/1.49  % (3717639)Peak memory usage: 94 MB
% 4.92/1.49  % (3717639)Instructions burned: 250 (million)
% 4.92/1.49  % (3717636)Instruction limit reached! 
% 4.92/1.49  % (3717636)------------------------------
% 4.92/1.49  % (3717636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.92/1.49  % (3717636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.49  % (3717636)CaDiCaL version: 2.1.3
% 4.92/1.49  % (3717636)Termination reason: Instruction limit
% 4.92/1.49  % (3717636)Termination phase: Saturation
% 4.92/1.49  % (3717636)Time elapsed: 0.165 s
% 4.92/1.49  % (3717636)Peak memory usage: 92 MB
% 4.92/1.49  % (3717636)Instructions burned: 285 (million)
% 4.92/1.49  % (3717644)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1559351342:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.92/1.49  % (3717644)Refutation not found, incomplete strategy
% 4.92/1.49  % (3717644)------------------------------
% 4.92/1.49  % (3717644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.92/1.49  % (3717644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.49  % (3717644)CaDiCaL version: 2.1.3
% 4.92/1.49  % (3717644)Termination reason: Refutation not found, incomplete strategy
% 4.92/1.49  % (3717644)Time elapsed: 0.004 s
% 4.92/1.49  % (3717644)Peak memory usage: 89 MB
% 4.92/1.49  % (3717644)Instructions burned: 11 (million)
% 4.92/1.49  % (3717638)Instruction limit reached! 
% 4.92/1.49  % (3717638)------------------------------
% 4.92/1.49  % (3717638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.92/1.49  % (3717638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.49  % (3717638)CaDiCaL version: 2.1.3
% 4.92/1.49  % (3717638)Termination reason: Instruction limit
% 4.92/1.49  % (3717638)Termination phase: Saturation
% 4.92/1.49  % (3717638)Time elapsed: 0.203 s
% 4.92/1.49  % (3717638)Peak memory usage: 92 MB
% 4.92/1.49  % (3717638)Instructions burned: 325 (million)
% 4.92/1.49  % (3717622)First to succeed.
% 4.92/1.49  % (3717622)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3717617"
% 4.92/1.49  % (3717645)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=22685942:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 4.92/1.49  % (3717646)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1286391771:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 4.92/1.49  % (3717644)------------------------------
% 4.92/1.49  % (3717644)------------------------------
% 4.92/1.49  % (3717648)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1484115235:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 4.92/1.49  % (3717646)Instruction limit reached! 
% 4.92/1.49  % (3717646)------------------------------
% 4.92/1.49  % (3717646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.92/1.49  % (3717646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.49  % (3717646)CaDiCaL version: 2.1.3
% 4.92/1.49  % (3717646)Termination reason: Instruction limit
% 4.92/1.49  % (3717646)Termination phase: Saturation
% 4.92/1.49  % (3717646)Time elapsed: 0.077 s
% 4.92/1.49  % (3717646)Peak memory usage: 90 MB
% 4.92/1.49  % (3717646)Instructions burned: 113 (million)
% 4.92/1.49  % (3717648)Instruction limit reached! 
% 4.92/1.49  % (3717648)------------------------------
% 4.92/1.49  % (3717648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.92/1.49  % (3717648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.49  % (3717648)CaDiCaL version: 2.1.3
% 4.92/1.49  % (3717648)Termination reason: Instruction limit
% 4.92/1.49  % (3717648)Termination phase: Saturation
% 4.92/1.49  % (3717648)Time elapsed: 0.065 s
% 4.92/1.49  % (3717648)Peak memory usage: 90 MB
% 4.92/1.49  % (3717648)Instructions burned: 128 (million)
% 4.92/1.49  % (3717651)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1641209458:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 4.92/1.49  % (3717622)Refutation found. Thanks to Tanya!
% 4.92/1.49  % SZS status Theorem for theBenchmark
% 4.92/1.49  % SZS output start Proof for theBenchmark
% See solution above
% 6.36/1.68  % (3717622)------------------------------
% 6.36/1.68  % (3717622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.68  % (3717622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.68  % (3717622)CaDiCaL version: 2.1.3
% 6.36/1.68  % (3717622)Termination reason: Refutation
% 6.36/1.68  % (3717622)Time elapsed: 0.441 s
% 6.36/1.68  % (3717622)Peak memory usage: 130 MB
% 6.36/1.68  % (3717622)Instructions burned: 1012 (million)
% 6.36/1.68  % (3717622)------------------------------
% 6.36/1.68  % (3717622)------------------------------
% 6.36/1.68  % (3717617)Success in time 0.819 s
% 6.36/1.68  % Vampire exiting
%------------------------------------------------------------------------------