TSTP Solution File: SWC177+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC177+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:39:22 EDT 2022

% Result   : Theorem 2.02s 0.70s
% Output   : Refutation 2.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   54
% Syntax   : Number of formulae    :  278 (  24 unt;   0 def)
%            Number of atoms       : 1212 ( 329 equ)
%            Maximal formula atoms :   34 (   4 avg)
%            Number of connectives : 1535 ( 601   ~; 633   |; 216   &)
%                                         (  26 <=>;  59  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   27 (  25 usr;  21 prp; 0-2 aty)
%            Number of functors    :   23 (  23 usr;  16 con; 0-2 aty)
%            Number of variables   :  257 ( 151   !; 106   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4020,plain,
    $false,
    inference(avatar_sat_refutation,[],[f648,f663,f681,f765,f771,f789,f791,f1184,f1193,f1351,f1362,f2453,f2556,f2573,f2657,f2665,f2863,f2917,f3338,f3367,f4019]) ).

fof(f4019,plain,
    ( ~ spl68_2
    | ~ spl68_4
    | ~ spl68_9
    | ~ spl68_16
    | ~ spl68_31
    | ~ spl68_40
    | ~ spl68_63 ),
    inference(avatar_contradiction_clause,[],[f4018]) ).

fof(f4018,plain,
    ( $false
    | ~ spl68_2
    | ~ spl68_4
    | ~ spl68_9
    | ~ spl68_16
    | ~ spl68_31
    | ~ spl68_40
    | ~ spl68_63 ),
    inference(subsumption_resolution,[],[f4017,f803]) ).

fof(f803,plain,
    ( nil != sF62
    | ~ spl68_4 ),
    inference(subsumption_resolution,[],[f802,f637]) ).

fof(f637,plain,
    ( ssList(nil)
    | ~ spl68_4 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f636,plain,
    ( spl68_4
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_4])]) ).

fof(f802,plain,
    ( nil != sF62
    | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f797,f419]) ).

fof(f419,plain,
    ssItem(sK25),
    inference(cnf_transformation,[],[f271]) ).

fof(f271,plain,
    ( ssList(sK22)
    & ssList(sK23)
    & ssItem(sK25)
    & ssList(sK28)
    & app(app(app(sK27,cons(sK25,nil)),cons(sK26,nil)),sK28) = sK21
    & ssList(sK27)
    & ssItem(sK26)
    & ~ neq(sK25,sK26)
    & sK23 = sK21
    & ssList(sK24)
    & ( ( sK23 = cons(sK29,nil)
        & memberP(sK24,sK29)
        & ssItem(sK29) )
      | ( nil = sK23
        & nil = sK24 ) )
    & sK24 = sK22
    & ssList(sK21) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29])],[f261,f270,f269,f268,f267,f266,f265,f264,f263,f262]) ).

fof(f262,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ssList(X1)
            & ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( ? [X4] :
                        ( ssItem(X4)
                        & ? [X5] :
                            ( ? [X6] :
                                ( ? [X7] :
                                    ( ssList(X7)
                                    & app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0 )
                                & ssList(X6) )
                            & ssItem(X5)
                            & ~ neq(X4,X5) ) )
                    & X0 = X2
                    & ssList(X3)
                    & ( ? [X8] :
                          ( cons(X8,nil) = X2
                          & memberP(X3,X8)
                          & ssItem(X8) )
                      | ( nil = X2
                        & nil = X3 ) )
                    & X1 = X3 ) ) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ? [X4] :
                      ( ssItem(X4)
                      & ? [X5] :
                          ( ? [X6] :
                              ( ? [X7] :
                                  ( ssList(X7)
                                  & app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK21 )
                              & ssList(X6) )
                          & ssItem(X5)
                          & ~ neq(X4,X5) ) )
                  & sK21 = X2
                  & ssList(X3)
                  & ( ? [X8] :
                        ( cons(X8,nil) = X2
                        & memberP(X3,X8)
                        & ssItem(X8) )
                    | ( nil = X2
                      & nil = X3 ) )
                  & X1 = X3 ) ) )
      & ssList(sK21) ) ),
    introduced(choice_axiom,[]) ).

fof(f263,plain,
    ( ? [X1] :
        ( ssList(X1)
        & ? [X2] :
            ( ssList(X2)
            & ? [X3] :
                ( ? [X4] :
                    ( ssItem(X4)
                    & ? [X5] :
                        ( ? [X6] :
                            ( ? [X7] :
                                ( ssList(X7)
                                & app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK21 )
                            & ssList(X6) )
                        & ssItem(X5)
                        & ~ neq(X4,X5) ) )
                & sK21 = X2
                & ssList(X3)
                & ( ? [X8] :
                      ( cons(X8,nil) = X2
                      & memberP(X3,X8)
                      & ssItem(X8) )
                  | ( nil = X2
                    & nil = X3 ) )
                & X1 = X3 ) ) )
   => ( ssList(sK22)
      & ? [X2] :
          ( ssList(X2)
          & ? [X3] :
              ( ? [X4] :
                  ( ssItem(X4)
                  & ? [X5] :
                      ( ? [X6] :
                          ( ? [X7] :
                              ( ssList(X7)
                              & app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK21 )
                          & ssList(X6) )
                      & ssItem(X5)
                      & ~ neq(X4,X5) ) )
              & sK21 = X2
              & ssList(X3)
              & ( ? [X8] :
                    ( cons(X8,nil) = X2
                    & memberP(X3,X8)
                    & ssItem(X8) )
                | ( nil = X2
                  & nil = X3 ) )
              & sK22 = X3 ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f264,plain,
    ( ? [X2] :
        ( ssList(X2)
        & ? [X3] :
            ( ? [X4] :
                ( ssItem(X4)
                & ? [X5] :
                    ( ? [X6] :
                        ( ? [X7] :
                            ( ssList(X7)
                            & app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK21 )
                        & ssList(X6) )
                    & ssItem(X5)
                    & ~ neq(X4,X5) ) )
            & sK21 = X2
            & ssList(X3)
            & ( ? [X8] :
                  ( cons(X8,nil) = X2
                  & memberP(X3,X8)
                  & ssItem(X8) )
              | ( nil = X2
                & nil = X3 ) )
            & sK22 = X3 ) )
   => ( ssList(sK23)
      & ? [X3] :
          ( ? [X4] :
              ( ssItem(X4)
              & ? [X5] :
                  ( ? [X6] :
                      ( ? [X7] :
                          ( ssList(X7)
                          & app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK21 )
                      & ssList(X6) )
                  & ssItem(X5)
                  & ~ neq(X4,X5) ) )
          & sK23 = sK21
          & ssList(X3)
          & ( ? [X8] :
                ( cons(X8,nil) = sK23
                & memberP(X3,X8)
                & ssItem(X8) )
            | ( nil = sK23
              & nil = X3 ) )
          & sK22 = X3 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f265,plain,
    ( ? [X3] :
        ( ? [X4] :
            ( ssItem(X4)
            & ? [X5] :
                ( ? [X6] :
                    ( ? [X7] :
                        ( ssList(X7)
                        & app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK21 )
                    & ssList(X6) )
                & ssItem(X5)
                & ~ neq(X4,X5) ) )
        & sK23 = sK21
        & ssList(X3)
        & ( ? [X8] :
              ( cons(X8,nil) = sK23
              & memberP(X3,X8)
              & ssItem(X8) )
          | ( nil = sK23
            & nil = X3 ) )
        & sK22 = X3 )
   => ( ? [X4] :
          ( ssItem(X4)
          & ? [X5] :
              ( ? [X6] :
                  ( ? [X7] :
                      ( ssList(X7)
                      & app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK21 )
                  & ssList(X6) )
              & ssItem(X5)
              & ~ neq(X4,X5) ) )
      & sK23 = sK21
      & ssList(sK24)
      & ( ? [X8] :
            ( cons(X8,nil) = sK23
            & memberP(sK24,X8)
            & ssItem(X8) )
        | ( nil = sK23
          & nil = sK24 ) )
      & sK24 = sK22 ) ),
    introduced(choice_axiom,[]) ).

fof(f266,plain,
    ( ? [X4] :
        ( ssItem(X4)
        & ? [X5] :
            ( ? [X6] :
                ( ? [X7] :
                    ( ssList(X7)
                    & app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK21 )
                & ssList(X6) )
            & ssItem(X5)
            & ~ neq(X4,X5) ) )
   => ( ssItem(sK25)
      & ? [X5] :
          ( ? [X6] :
              ( ? [X7] :
                  ( ssList(X7)
                  & sK21 = app(app(app(X6,cons(sK25,nil)),cons(X5,nil)),X7) )
              & ssList(X6) )
          & ssItem(X5)
          & ~ neq(sK25,X5) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f267,plain,
    ( ? [X5] :
        ( ? [X6] :
            ( ? [X7] :
                ( ssList(X7)
                & sK21 = app(app(app(X6,cons(sK25,nil)),cons(X5,nil)),X7) )
            & ssList(X6) )
        & ssItem(X5)
        & ~ neq(sK25,X5) )
   => ( ? [X6] :
          ( ? [X7] :
              ( ssList(X7)
              & app(app(app(X6,cons(sK25,nil)),cons(sK26,nil)),X7) = sK21 )
          & ssList(X6) )
      & ssItem(sK26)
      & ~ neq(sK25,sK26) ) ),
    introduced(choice_axiom,[]) ).

fof(f268,plain,
    ( ? [X6] :
        ( ? [X7] :
            ( ssList(X7)
            & app(app(app(X6,cons(sK25,nil)),cons(sK26,nil)),X7) = sK21 )
        & ssList(X6) )
   => ( ? [X7] :
          ( ssList(X7)
          & app(app(app(sK27,cons(sK25,nil)),cons(sK26,nil)),X7) = sK21 )
      & ssList(sK27) ) ),
    introduced(choice_axiom,[]) ).

fof(f269,plain,
    ( ? [X7] :
        ( ssList(X7)
        & app(app(app(sK27,cons(sK25,nil)),cons(sK26,nil)),X7) = sK21 )
   => ( ssList(sK28)
      & app(app(app(sK27,cons(sK25,nil)),cons(sK26,nil)),sK28) = sK21 ) ),
    introduced(choice_axiom,[]) ).

fof(f270,plain,
    ( ? [X8] :
        ( cons(X8,nil) = sK23
        & memberP(sK24,X8)
        & ssItem(X8) )
   => ( sK23 = cons(sK29,nil)
      & memberP(sK24,sK29)
      & ssItem(sK29) ) ),
    introduced(choice_axiom,[]) ).

fof(f261,plain,
    ? [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ? [X4] :
                      ( ssItem(X4)
                      & ? [X5] :
                          ( ? [X6] :
                              ( ? [X7] :
                                  ( ssList(X7)
                                  & app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0 )
                              & ssList(X6) )
                          & ssItem(X5)
                          & ~ neq(X4,X5) ) )
                  & X0 = X2
                  & ssList(X3)
                  & ( ? [X8] :
                        ( cons(X8,nil) = X2
                        & memberP(X3,X8)
                        & ssItem(X8) )
                    | ( nil = X2
                      & nil = X3 ) )
                  & X1 = X3 ) ) )
      & ssList(X0) ),
    inference(rectify,[],[f183]) ).

fof(f183,plain,
    ? [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ? [X5] :
                      ( ssItem(X5)
                      & ? [X6] :
                          ( ? [X7] :
                              ( ? [X8] :
                                  ( ssList(X8)
                                  & app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) = X0 )
                              & ssList(X7) )
                          & ssItem(X6)
                          & ~ neq(X5,X6) ) )
                  & X0 = X2
                  & ssList(X3)
                  & ( ? [X4] :
                        ( cons(X4,nil) = X2
                        & memberP(X3,X4)
                        & ssItem(X4) )
                    | ( nil = X2
                      & nil = X3 ) )
                  & X1 = X3 ) ) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f98]) ).

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

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

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( X0 != X2
                  | ( ( nil != X3
                      | nil != X2 )
                    & ! [X8] :
                        ( ~ ssItem(X8)
                        | ~ memberP(X3,X8)
                        | cons(X8,nil) != X2 ) )
                  | X1 != X3
                  | ! [X4] :
                      ( ssItem(X4)
                     => ! [X5] :
                          ( ! [X6] :
                              ( ssList(X6)
                             => ! [X7] :
                                  ( ssList(X7)
                                 => app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0 ) )
                          | neq(X4,X5)
                          | ~ ssItem(X5) ) )
                  | ~ ssList(X3) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f797,plain,
    ( ~ ssItem(sK25)
    | nil != sF62
    | ~ ssList(nil) ),
    inference(superposition,[],[f437,f606]) ).

fof(f606,plain,
    sF62 = cons(sK25,nil),
    introduced(function_definition,[]) ).

fof(f437,plain,
    ! [X0,X1] :
      ( nil != cons(X1,X0)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,plain,
    ! [X0] :
      ( ! [X1] :
          ( nil != cons(X1,X0)
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f21]) ).

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

fof(f4017,plain,
    ( nil = sF62
    | ~ spl68_2
    | ~ spl68_9
    | ~ spl68_16
    | ~ spl68_31
    | ~ spl68_40
    | ~ spl68_63 ),
    inference(forward_demodulation,[],[f4016,f1341]) ).

fof(f1341,plain,
    ( nil = tl(sK21)
    | ~ spl68_31 ),
    inference(avatar_component_clause,[],[f1339]) ).

fof(f1339,plain,
    ( spl68_31
  <=> nil = tl(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_31])]) ).

fof(f4016,plain,
    ( sF62 = tl(sK21)
    | ~ spl68_2
    | ~ spl68_9
    | ~ spl68_16
    | ~ spl68_40
    | ~ spl68_63 ),
    inference(subsumption_resolution,[],[f4015,f662]) ).

fof(f662,plain,
    ( ssItem(sK29)
    | ~ spl68_9 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f660,plain,
    ( spl68_9
  <=> ssItem(sK29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_9])]) ).

fof(f4015,plain,
    ( ~ ssItem(sK29)
    | sF62 = tl(sK21)
    | ~ spl68_2
    | ~ spl68_9
    | ~ spl68_16
    | ~ spl68_40
    | ~ spl68_63 ),
    inference(subsumption_resolution,[],[f4001,f769]) ).

fof(f769,plain,
    ( ssList(sF62)
    | ~ spl68_16 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f768,plain,
    ( spl68_16
  <=> ssList(sF62) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_16])]) ).

fof(f4001,plain,
    ( ~ ssList(sF62)
    | ~ ssItem(sK29)
    | sF62 = tl(sK21)
    | ~ spl68_2
    | ~ spl68_9
    | ~ spl68_16
    | ~ spl68_40
    | ~ spl68_63 ),
    inference(superposition,[],[f539,f3908]) ).

fof(f3908,plain,
    ( cons(sK29,sF62) = sK21
    | ~ spl68_2
    | ~ spl68_9
    | ~ spl68_16
    | ~ spl68_40
    | ~ spl68_63 ),
    inference(subsumption_resolution,[],[f3876,f769]) ).

fof(f3876,plain,
    ( cons(sK29,sF62) = sK21
    | ~ ssList(sF62)
    | ~ spl68_2
    | ~ spl68_9
    | ~ spl68_40
    | ~ spl68_63 ),
    inference(superposition,[],[f3519,f1575]) ).

fof(f1575,plain,
    ( ! [X5] :
        ( cons(sK29,X5) = app(sK21,X5)
        | ~ ssList(X5) )
    | ~ spl68_2
    | ~ spl68_9 ),
    inference(subsumption_resolution,[],[f1567,f662]) ).

fof(f1567,plain,
    ( ! [X5] :
        ( ~ ssItem(sK29)
        | cons(sK29,X5) = app(sK21,X5)
        | ~ ssList(X5) )
    | ~ spl68_2 ),
    inference(superposition,[],[f475,f1393]) ).

fof(f1393,plain,
    ( sK21 = cons(sK29,nil)
    | ~ spl68_2 ),
    inference(forward_demodulation,[],[f612,f629]) ).

fof(f629,plain,
    ( sK21 = sF67
    | ~ spl68_2 ),
    inference(avatar_component_clause,[],[f627]) ).

fof(f627,plain,
    ( spl68_2
  <=> sK21 = sF67 ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_2])]) ).

fof(f612,plain,
    cons(sK29,nil) = sF67,
    introduced(function_definition,[]) ).

fof(f475,plain,
    ! [X0,X1] :
      ( cons(X1,X0) = app(cons(X1,nil),X0)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f124,plain,
    ! [X0] :
      ( ! [X1] :
          ( cons(X1,X0) = app(cons(X1,nil),X0)
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f81,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) = app(cons(X1,nil),X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax81) ).

fof(f3519,plain,
    ( app(sK21,sF62) = sK21
    | ~ spl68_40
    | ~ spl68_63 ),
    inference(forward_demodulation,[],[f3395,f2551]) ).

fof(f2551,plain,
    ( sK21 = sF63
    | ~ spl68_63 ),
    inference(avatar_component_clause,[],[f2549]) ).

fof(f2549,plain,
    ( spl68_63
  <=> sK21 = sF63 ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_63])]) ).

fof(f3395,plain,
    ( app(sF63,sF62) = sF63
    | ~ spl68_40 ),
    inference(backward_demodulation,[],[f835,f1767]) ).

fof(f1767,plain,
    ( sF65 = sF63
    | ~ spl68_40 ),
    inference(avatar_component_clause,[],[f1765]) ).

fof(f1765,plain,
    ( spl68_40
  <=> sF65 = sF63 ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_40])]) ).

fof(f835,plain,
    sF65 = app(sF63,sF62),
    inference(backward_demodulation,[],[f609,f832]) ).

fof(f832,plain,
    sF62 = sF64,
    inference(forward_demodulation,[],[f829,f606]) ).

fof(f829,plain,
    sF64 = cons(sK25,nil),
    inference(backward_demodulation,[],[f608,f827]) ).

fof(f827,plain,
    sK25 = sK26,
    inference(subsumption_resolution,[],[f826,f415]) ).

fof(f415,plain,
    ssItem(sK26),
    inference(cnf_transformation,[],[f271]) ).

fof(f826,plain,
    ( ~ ssItem(sK26)
    | sK25 = sK26 ),
    inference(subsumption_resolution,[],[f821,f419]) ).

fof(f821,plain,
    ( ~ ssItem(sK25)
    | ~ ssItem(sK26)
    | sK25 = sK26 ),
    inference(resolution,[],[f383,f414]) ).

fof(f414,plain,
    ~ neq(sK25,sK26),
    inference(cnf_transformation,[],[f271]) ).

fof(f383,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | ~ ssItem(X0)
      | X0 = X1
      | ~ ssItem(X1) ),
    inference(cnf_transformation,[],[f246]) ).

fof(f246,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f180]) ).

fof(f180,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( neq(X0,X1)
          <=> X0 != X1 )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

fof(f608,plain,
    cons(sK26,nil) = sF64,
    introduced(function_definition,[]) ).

fof(f609,plain,
    app(sF63,sF64) = sF65,
    introduced(function_definition,[]) ).

fof(f539,plain,
    ! [X0,X1] :
      ( tl(cons(X1,X0)) = X0
      | ~ ssList(X0)
      | ~ ssItem(X1) ),
    inference(cnf_transformation,[],[f212]) ).

fof(f212,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssItem(X1)
          | tl(cons(X1,X0)) = X0 ) ),
    inference(ennf_transformation,[],[f25]) ).

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

fof(f3367,plain,
    ( spl68_45
    | ~ spl68_2
    | ~ spl68_4
    | ~ spl68_9
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16
    | ~ spl68_65 ),
    inference(avatar_split_clause,[],[f3340,f2827,f768,f762,f758,f660,f636,f627,f1793]) ).

fof(f1793,plain,
    ( spl68_45
  <=> frontsegP(sF65,sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_45])]) ).

fof(f758,plain,
    ( spl68_14
  <=> ssList(sF65) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_14])]) ).

fof(f762,plain,
    ( spl68_15
  <=> ssList(sF63) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_15])]) ).

fof(f2827,plain,
    ( spl68_65
  <=> ssList(tl(sF65)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_65])]) ).

fof(f3340,plain,
    ( frontsegP(sF65,sK21)
    | ~ spl68_2
    | ~ spl68_4
    | ~ spl68_9
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16
    | ~ spl68_65 ),
    inference(subsumption_resolution,[],[f3333,f2828]) ).

fof(f2828,plain,
    ( ssList(tl(sF65))
    | ~ spl68_65 ),
    inference(avatar_component_clause,[],[f2827]) ).

fof(f3333,plain,
    ( ~ ssList(tl(sF65))
    | frontsegP(sF65,sK21)
    | ~ spl68_2
    | ~ spl68_4
    | ~ spl68_9
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16 ),
    inference(superposition,[],[f1755,f1905]) ).

fof(f1905,plain,
    ( cons(sK29,tl(sF65)) = sF65
    | ~ spl68_2
    | ~ spl68_4
    | ~ spl68_9
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16 ),
    inference(subsumption_resolution,[],[f1904,f760]) ).

fof(f760,plain,
    ( ssList(sF65)
    | ~ spl68_14 ),
    inference(avatar_component_clause,[],[f758]) ).

fof(f1904,plain,
    ( cons(sK29,tl(sF65)) = sF65
    | ~ ssList(sF65)
    | ~ spl68_2
    | ~ spl68_4
    | ~ spl68_9
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16 ),
    inference(subsumption_resolution,[],[f1882,f1030]) ).

fof(f1030,plain,
    ( nil != sF65
    | ~ spl68_4
    | ~ spl68_15
    | ~ spl68_16 ),
    inference(subsumption_resolution,[],[f1029,f763]) ).

fof(f763,plain,
    ( ssList(sF63)
    | ~ spl68_15 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f1029,plain,
    ( ~ ssList(sF63)
    | nil != sF65
    | ~ spl68_4
    | ~ spl68_16 ),
    inference(subsumption_resolution,[],[f1028,f803]) ).

fof(f1028,plain,
    ( nil != sF65
    | nil = sF62
    | ~ ssList(sF63)
    | ~ spl68_16 ),
    inference(subsumption_resolution,[],[f1022,f769]) ).

fof(f1022,plain,
    ( ~ ssList(sF62)
    | nil != sF65
    | ~ ssList(sF63)
    | nil = sF62 ),
    inference(superposition,[],[f360,f835]) ).

fof(f360,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | nil = X1
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(cnf_transformation,[],[f236]) ).

fof(f236,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( nil = app(X0,X1)
              | nil != X0
              | nil != X1 )
            & ( ( nil = X0
                & nil = X1 )
              | nil != app(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f235]) ).

fof(f235,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( nil = app(X0,X1)
              | nil != X0
              | nil != X1 )
            & ( ( nil = X0
                & nil = X1 )
              | nil != app(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f101]) ).

fof(f101,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( nil = app(X0,X1)
          <=> ( nil = X0
              & nil = X1 ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f83]) ).

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

fof(f1882,plain,
    ( nil = sF65
    | cons(sK29,tl(sF65)) = sF65
    | ~ ssList(sF65)
    | ~ spl68_2
    | ~ spl68_4
    | ~ spl68_9
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16 ),
    inference(superposition,[],[f378,f1826]) ).

fof(f1826,plain,
    ( hd(sF65) = sK29
    | ~ spl68_2
    | ~ spl68_4
    | ~ spl68_9
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16 ),
    inference(forward_demodulation,[],[f1825,f1413]) ).

fof(f1413,plain,
    ( sK29 = hd(sK21)
    | ~ spl68_2
    | ~ spl68_4
    | ~ spl68_9 ),
    inference(subsumption_resolution,[],[f1412,f662]) ).

fof(f1412,plain,
    ( sK29 = hd(sK21)
    | ~ ssItem(sK29)
    | ~ spl68_2
    | ~ spl68_4 ),
    inference(subsumption_resolution,[],[f1404,f637]) ).

fof(f1404,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sK29)
    | sK29 = hd(sK21)
    | ~ spl68_2 ),
    inference(superposition,[],[f514,f1393]) ).

fof(f514,plain,
    ! [X0,X1] :
      ( hd(cons(X1,X0)) = X1
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f193]) ).

fof(f193,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssItem(X1)
          | hd(cons(X1,X0)) = X1 ) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => hd(cons(X1,X0)) = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).

fof(f1825,plain,
    ( hd(sF65) = hd(sK21)
    | ~ spl68_4
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16 ),
    inference(subsumption_resolution,[],[f1824,f760]) ).

fof(f1824,plain,
    ( ~ ssList(sF65)
    | hd(sF65) = hd(sK21)
    | ~ spl68_4
    | ~ spl68_15
    | ~ spl68_16 ),
    inference(subsumption_resolution,[],[f1823,f1030]) ).

fof(f1823,plain,
    ( nil = sF65
    | ~ ssList(sF65)
    | hd(sF65) = hd(sK21) ),
    inference(subsumption_resolution,[],[f1803,f418]) ).

fof(f418,plain,
    ssList(sK28),
    inference(cnf_transformation,[],[f271]) ).

fof(f1803,plain,
    ( ~ ssList(sK28)
    | nil = sF65
    | ~ ssList(sF65)
    | hd(sF65) = hd(sK21) ),
    inference(superposition,[],[f365,f682]) ).

fof(f682,plain,
    sK21 = app(sF65,sK28),
    inference(forward_demodulation,[],[f610,f611]) ).

fof(f611,plain,
    sF66 = sK21,
    inference(definition_folding,[],[f417,f610,f609,f608,f607,f606]) ).

fof(f607,plain,
    app(sK27,sF62) = sF63,
    introduced(function_definition,[]) ).

fof(f417,plain,
    app(app(app(sK27,cons(sK25,nil)),cons(sK26,nil)),sK28) = sK21,
    inference(cnf_transformation,[],[f271]) ).

fof(f610,plain,
    sF66 = app(sF65,sK28),
    introduced(function_definition,[]) ).

fof(f365,plain,
    ! [X0,X1] :
      ( hd(X0) = hd(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f174]) ).

fof(f174,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | hd(X0) = hd(app(X0,X1))
          | nil = X0 ) ),
    inference(flattening,[],[f173]) ).

fof(f173,plain,
    ! [X0] :
      ( ! [X1] :
          ( hd(X0) = hd(app(X0,X1))
          | nil = X0
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f85]) ).

fof(f85,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( nil != X0
           => hd(X0) = hd(app(X0,X1)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax85) ).

fof(f378,plain,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | ~ ssList(X0)
      | nil = X0 ),
    inference(flattening,[],[f121]) ).

fof(f121,plain,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f78]) ).

fof(f78,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => cons(hd(X0),tl(X0)) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax78) ).

fof(f1755,plain,
    ( ! [X4] :
        ( frontsegP(cons(sK29,X4),sK21)
        | ~ ssList(X4) )
    | ~ spl68_2
    | ~ spl68_9 ),
    inference(subsumption_resolution,[],[f1750,f404]) ).

fof(f404,plain,
    ssList(sK21),
    inference(cnf_transformation,[],[f271]) ).

fof(f1750,plain,
    ( ! [X4] :
        ( ~ ssList(sK21)
        | ~ ssList(X4)
        | frontsegP(cons(sK29,X4),sK21) )
    | ~ spl68_2
    | ~ spl68_9 ),
    inference(duplicate_literal_removal,[],[f1740]) ).

fof(f1740,plain,
    ( ! [X4] :
        ( ~ ssList(X4)
        | ~ ssList(sK21)
        | ~ ssList(X4)
        | frontsegP(cons(sK29,X4),sK21) )
    | ~ spl68_2
    | ~ spl68_9 ),
    inference(superposition,[],[f1734,f1575]) ).

fof(f1734,plain,
    ! [X3,X1] :
      ( frontsegP(app(X1,X3),X1)
      | ~ ssList(X1)
      | ~ ssList(X3) ),
    inference(subsumption_resolution,[],[f600,f491]) ).

fof(f491,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f222,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(app(X0,X1))
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f26]) ).

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

fof(f600,plain,
    ! [X3,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X3)
      | frontsegP(app(X1,X3),X1)
      | ~ ssList(app(X1,X3)) ),
    inference(equality_resolution,[],[f532]) ).

fof(f532,plain,
    ! [X3,X0,X1] :
      ( ~ ssList(X0)
      | frontsegP(X0,X1)
      | ~ ssList(X3)
      | app(X1,X3) != X0
      | ~ ssList(X1) ),
    inference(cnf_transformation,[],[f336]) ).

fof(f336,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( ( ( ssList(sK56(X0,X1))
                & app(X1,sK56(X0,X1)) = X0 )
              | ~ frontsegP(X0,X1) )
            & ( frontsegP(X0,X1)
              | ! [X3] :
                  ( ~ ssList(X3)
                  | app(X1,X3) != X0 ) ) )
          | ~ ssList(X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK56])],[f334,f335]) ).

fof(f335,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ssList(X2)
          & app(X1,X2) = X0 )
     => ( ssList(sK56(X0,X1))
        & app(X1,sK56(X0,X1)) = X0 ) ),
    introduced(choice_axiom,[]) ).

fof(f334,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( ( ? [X2] :
                  ( ssList(X2)
                  & app(X1,X2) = X0 )
              | ~ frontsegP(X0,X1) )
            & ( frontsegP(X0,X1)
              | ! [X3] :
                  ( ~ ssList(X3)
                  | app(X1,X3) != X0 ) ) )
          | ~ ssList(X1) ) ),
    inference(rectify,[],[f333]) ).

fof(f333,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( ( ? [X2] :
                  ( ssList(X2)
                  & app(X1,X2) = X0 )
              | ~ frontsegP(X0,X1) )
            & ( frontsegP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | app(X1,X2) != X0 ) ) )
          | ~ ssList(X1) ) ),
    inference(nnf_transformation,[],[f221]) ).

fof(f221,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( ? [X2] :
                ( ssList(X2)
                & app(X1,X2) = X0 )
          <=> frontsegP(X0,X1) )
          | ~ ssList(X1) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( ? [X2] :
                ( ssList(X2)
                & app(X1,X2) = X0 )
          <=> frontsegP(X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

fof(f3338,plain,
    ( spl68_64
    | ~ spl68_2
    | ~ spl68_4
    | ~ spl68_9
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16
    | ~ spl68_73 ),
    inference(avatar_split_clause,[],[f3337,f2885,f768,f762,f758,f660,f636,f627,f2553]) ).

fof(f2553,plain,
    ( spl68_64
  <=> frontsegP(sF63,sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_64])]) ).

fof(f2885,plain,
    ( spl68_73
  <=> ssList(tl(sF63)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_73])]) ).

fof(f3337,plain,
    ( frontsegP(sF63,sK21)
    | ~ spl68_2
    | ~ spl68_4
    | ~ spl68_9
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16
    | ~ spl68_73 ),
    inference(subsumption_resolution,[],[f3332,f2886]) ).

fof(f2886,plain,
    ( ssList(tl(sF63))
    | ~ spl68_73 ),
    inference(avatar_component_clause,[],[f2885]) ).

fof(f3332,plain,
    ( frontsegP(sF63,sK21)
    | ~ ssList(tl(sF63))
    | ~ spl68_2
    | ~ spl68_4
    | ~ spl68_9
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16 ),
    inference(superposition,[],[f1755,f2202]) ).

fof(f2202,plain,
    ( cons(sK29,tl(sF63)) = sF63
    | ~ spl68_2
    | ~ spl68_4
    | ~ spl68_9
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16 ),
    inference(subsumption_resolution,[],[f2201,f763]) ).

fof(f2201,plain,
    ( cons(sK29,tl(sF63)) = sF63
    | ~ ssList(sF63)
    | ~ spl68_2
    | ~ spl68_4
    | ~ spl68_9
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16 ),
    inference(subsumption_resolution,[],[f2174,f1027]) ).

fof(f1027,plain,
    ( nil != sF63
    | ~ spl68_4
    | ~ spl68_16 ),
    inference(subsumption_resolution,[],[f1026,f769]) ).

fof(f1026,plain,
    ( ~ ssList(sF62)
    | nil != sF63
    | ~ spl68_4 ),
    inference(subsumption_resolution,[],[f1025,f416]) ).

fof(f416,plain,
    ssList(sK27),
    inference(cnf_transformation,[],[f271]) ).

fof(f1025,plain,
    ( ~ ssList(sK27)
    | nil != sF63
    | ~ ssList(sF62)
    | ~ spl68_4 ),
    inference(subsumption_resolution,[],[f1021,f803]) ).

fof(f1021,plain,
    ( nil != sF63
    | nil = sF62
    | ~ ssList(sK27)
    | ~ ssList(sF62) ),
    inference(superposition,[],[f360,f607]) ).

fof(f2174,plain,
    ( nil = sF63
    | cons(sK29,tl(sF63)) = sF63
    | ~ ssList(sF63)
    | ~ spl68_2
    | ~ spl68_4
    | ~ spl68_9
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16 ),
    inference(superposition,[],[f378,f2173]) ).

fof(f2173,plain,
    ( sK29 = hd(sF63)
    | ~ spl68_2
    | ~ spl68_4
    | ~ spl68_9
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16 ),
    inference(forward_demodulation,[],[f2172,f1826]) ).

fof(f2172,plain,
    ( hd(sF65) = hd(sF63)
    | ~ spl68_4
    | ~ spl68_15
    | ~ spl68_16 ),
    inference(subsumption_resolution,[],[f2171,f1027]) ).

fof(f2171,plain,
    ( nil = sF63
    | hd(sF65) = hd(sF63)
    | ~ spl68_15
    | ~ spl68_16 ),
    inference(subsumption_resolution,[],[f2170,f763]) ).

fof(f2170,plain,
    ( hd(sF65) = hd(sF63)
    | ~ ssList(sF63)
    | nil = sF63
    | ~ spl68_16 ),
    inference(subsumption_resolution,[],[f2163,f769]) ).

fof(f2163,plain,
    ( hd(sF65) = hd(sF63)
    | ~ ssList(sF62)
    | ~ ssList(sF63)
    | nil = sF63 ),
    inference(superposition,[],[f365,f835]) ).

fof(f2917,plain,
    ( ~ spl68_15
    | spl68_59
    | spl68_73 ),
    inference(avatar_contradiction_clause,[],[f2916]) ).

fof(f2916,plain,
    ( $false
    | ~ spl68_15
    | spl68_59
    | spl68_73 ),
    inference(subsumption_resolution,[],[f2915,f763]) ).

fof(f2915,plain,
    ( ~ ssList(sF63)
    | spl68_59
    | spl68_73 ),
    inference(subsumption_resolution,[],[f2913,f2442]) ).

fof(f2442,plain,
    ( nil != sF63
    | spl68_59 ),
    inference(avatar_component_clause,[],[f2441]) ).

fof(f2441,plain,
    ( spl68_59
  <=> nil = sF63 ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_59])]) ).

fof(f2913,plain,
    ( nil = sF63
    | ~ ssList(sF63)
    | spl68_73 ),
    inference(resolution,[],[f2887,f549]) ).

fof(f549,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f158]) ).

fof(f158,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ssList(tl(X0))
      | nil = X0 ),
    inference(flattening,[],[f157]) ).

fof(f157,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f24]) ).

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

fof(f2887,plain,
    ( ~ ssList(tl(sF63))
    | spl68_73 ),
    inference(avatar_component_clause,[],[f2885]) ).

fof(f2863,plain,
    ( ~ spl68_4
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16
    | spl68_65 ),
    inference(avatar_contradiction_clause,[],[f2862]) ).

fof(f2862,plain,
    ( $false
    | ~ spl68_4
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16
    | spl68_65 ),
    inference(subsumption_resolution,[],[f2861,f1030]) ).

fof(f2861,plain,
    ( nil = sF65
    | ~ spl68_14
    | spl68_65 ),
    inference(subsumption_resolution,[],[f2859,f760]) ).

fof(f2859,plain,
    ( ~ ssList(sF65)
    | nil = sF65
    | spl68_65 ),
    inference(resolution,[],[f2829,f549]) ).

fof(f2829,plain,
    ( ~ ssList(tl(sF65))
    | spl68_65 ),
    inference(avatar_component_clause,[],[f2827]) ).

fof(f2665,plain,
    ( spl68_44
    | ~ spl68_45
    | ~ spl68_14 ),
    inference(avatar_split_clause,[],[f2664,f758,f1793,f1789]) ).

fof(f1789,plain,
    ( spl68_44
  <=> sK21 = sF65 ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_44])]) ).

fof(f2664,plain,
    ( ~ frontsegP(sF65,sK21)
    | sK21 = sF65
    | ~ spl68_14 ),
    inference(subsumption_resolution,[],[f2663,f760]) ).

fof(f2663,plain,
    ( ~ ssList(sF65)
    | ~ frontsegP(sF65,sK21)
    | sK21 = sF65
    | ~ spl68_14 ),
    inference(subsumption_resolution,[],[f2662,f404]) ).

fof(f2662,plain,
    ( sK21 = sF65
    | ~ frontsegP(sF65,sK21)
    | ~ ssList(sK21)
    | ~ ssList(sF65)
    | ~ spl68_14 ),
    inference(resolution,[],[f1759,f524]) ).

fof(f524,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X1,X0)
      | ~ frontsegP(X0,X1)
      | ~ ssList(X0)
      | X0 = X1
      | ~ ssList(X1) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ frontsegP(X0,X1)
          | ~ ssList(X1)
          | X0 = X1
          | ~ frontsegP(X1,X0) ) ),
    inference(flattening,[],[f104]) ).

fof(f104,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ frontsegP(X0,X1)
          | ~ frontsegP(X1,X0)
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( ( frontsegP(X0,X1)
              & frontsegP(X1,X0) )
           => X0 = X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax41) ).

fof(f1759,plain,
    ( frontsegP(sK21,sF65)
    | ~ spl68_14 ),
    inference(subsumption_resolution,[],[f1758,f760]) ).

fof(f1758,plain,
    ( ~ ssList(sF65)
    | frontsegP(sK21,sF65) ),
    inference(subsumption_resolution,[],[f1744,f418]) ).

fof(f1744,plain,
    ( ~ ssList(sK28)
    | ~ ssList(sF65)
    | frontsegP(sK21,sF65) ),
    inference(superposition,[],[f1734,f682]) ).

fof(f2657,plain,
    ( spl68_40
    | ~ spl68_41
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16 ),
    inference(avatar_split_clause,[],[f2656,f768,f762,f758,f1769,f1765]) ).

fof(f1769,plain,
    ( spl68_41
  <=> frontsegP(sF63,sF65) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_41])]) ).

fof(f2656,plain,
    ( ~ frontsegP(sF63,sF65)
    | sF65 = sF63
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16 ),
    inference(subsumption_resolution,[],[f2655,f763]) ).

fof(f2655,plain,
    ( sF65 = sF63
    | ~ ssList(sF63)
    | ~ frontsegP(sF63,sF65)
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16 ),
    inference(subsumption_resolution,[],[f2654,f760]) ).

fof(f2654,plain,
    ( ~ ssList(sF65)
    | ~ ssList(sF63)
    | ~ frontsegP(sF63,sF65)
    | sF65 = sF63
    | ~ spl68_15
    | ~ spl68_16 ),
    inference(resolution,[],[f1753,f524]) ).

fof(f1753,plain,
    ( frontsegP(sF65,sF63)
    | ~ spl68_15
    | ~ spl68_16 ),
    inference(subsumption_resolution,[],[f1752,f769]) ).

fof(f1752,plain,
    ( frontsegP(sF65,sF63)
    | ~ ssList(sF62)
    | ~ spl68_15 ),
    inference(subsumption_resolution,[],[f1743,f763]) ).

fof(f1743,plain,
    ( ~ ssList(sF63)
    | ~ ssList(sF62)
    | frontsegP(sF65,sF63) ),
    inference(superposition,[],[f1734,f835]) ).

fof(f2573,plain,
    ( ~ spl68_64
    | spl68_41
    | ~ spl68_44 ),
    inference(avatar_split_clause,[],[f2531,f1789,f1769,f2553]) ).

fof(f2531,plain,
    ( ~ frontsegP(sF63,sK21)
    | spl68_41
    | ~ spl68_44 ),
    inference(backward_demodulation,[],[f1771,f1791]) ).

fof(f1791,plain,
    ( sK21 = sF65
    | ~ spl68_44 ),
    inference(avatar_component_clause,[],[f1789]) ).

fof(f1771,plain,
    ( ~ frontsegP(sF63,sF65)
    | spl68_41 ),
    inference(avatar_component_clause,[],[f1769]) ).

fof(f2556,plain,
    ( spl68_63
    | ~ spl68_64
    | ~ spl68_15
    | ~ spl68_16
    | ~ spl68_44 ),
    inference(avatar_split_clause,[],[f2547,f1789,f768,f762,f2553,f2549]) ).

fof(f2547,plain,
    ( ~ frontsegP(sF63,sK21)
    | sK21 = sF63
    | ~ spl68_15
    | ~ spl68_16
    | ~ spl68_44 ),
    inference(subsumption_resolution,[],[f2546,f404]) ).

fof(f2546,plain,
    ( ~ ssList(sK21)
    | sK21 = sF63
    | ~ frontsegP(sF63,sK21)
    | ~ spl68_15
    | ~ spl68_16
    | ~ spl68_44 ),
    inference(subsumption_resolution,[],[f2545,f763]) ).

fof(f2545,plain,
    ( sK21 = sF63
    | ~ ssList(sF63)
    | ~ frontsegP(sF63,sK21)
    | ~ ssList(sK21)
    | ~ spl68_15
    | ~ spl68_16
    | ~ spl68_44 ),
    inference(resolution,[],[f2529,f524]) ).

fof(f2529,plain,
    ( frontsegP(sK21,sF63)
    | ~ spl68_15
    | ~ spl68_16
    | ~ spl68_44 ),
    inference(backward_demodulation,[],[f1753,f1791]) ).

fof(f2453,plain,
    ( ~ spl68_59
    | ~ spl68_4
    | ~ spl68_16 ),
    inference(avatar_split_clause,[],[f1027,f768,f636,f2441]) ).

fof(f1362,plain,
    ( ~ spl68_6
    | ~ spl68_4
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16 ),
    inference(avatar_split_clause,[],[f1361,f768,f762,f758,f636,f645]) ).

fof(f645,plain,
    ( spl68_6
  <=> nil = sK21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_6])]) ).

fof(f1361,plain,
    ( nil != sK21
    | ~ spl68_4
    | ~ spl68_14
    | ~ spl68_15
    | ~ spl68_16 ),
    inference(subsumption_resolution,[],[f1360,f760]) ).

fof(f1360,plain,
    ( ~ ssList(sF65)
    | nil != sK21
    | ~ spl68_4
    | ~ spl68_15
    | ~ spl68_16 ),
    inference(subsumption_resolution,[],[f1359,f1030]) ).

fof(f1359,plain,
    ( nil = sF65
    | ~ ssList(sF65)
    | nil != sK21 ),
    inference(subsumption_resolution,[],[f1036,f418]) ).

fof(f1036,plain,
    ( nil != sK21
    | ~ ssList(sK28)
    | nil = sF65
    | ~ ssList(sF65) ),
    inference(superposition,[],[f361,f682]) ).

fof(f361,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X0)
      | nil = X0
      | ~ ssList(X1) ),
    inference(cnf_transformation,[],[f236]) ).

fof(f1351,plain,
    ( spl68_6
    | spl68_31
    | ~ spl68_22 ),
    inference(avatar_split_clause,[],[f1350,f1178,f1339,f645]) ).

fof(f1178,plain,
    ( spl68_22
  <=> nil = sK6(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_22])]) ).

fof(f1350,plain,
    ( nil = tl(sK21)
    | nil = sK21
    | ~ spl68_22 ),
    inference(subsumption_resolution,[],[f1206,f404]) ).

fof(f1206,plain,
    ( nil = tl(sK21)
    | nil = sK21
    | ~ ssList(sK21)
    | ~ spl68_22 ),
    inference(superposition,[],[f1180,f980]) ).

fof(f980,plain,
    ! [X4] :
      ( tl(X4) = sK6(X4)
      | ~ ssList(X4)
      | nil = X4 ),
    inference(subsumption_resolution,[],[f979,f354]) ).

fof(f354,plain,
    ! [X0] :
      ( ssItem(sK7(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f234]) ).

fof(f234,plain,
    ! [X0] :
      ( ( ssList(sK6(X0))
        & cons(sK7(X0),sK6(X0)) = X0
        & ssItem(sK7(X0)) )
      | ~ ssList(X0)
      | nil = X0 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f188,f233,f232]) ).

fof(f232,plain,
    ! [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) ) )
     => ( ssList(sK6(X0))
        & ? [X2] :
            ( cons(X2,sK6(X0)) = X0
            & ssItem(X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f233,plain,
    ! [X0] :
      ( ? [X2] :
          ( cons(X2,sK6(X0)) = X0
          & ssItem(X2) )
     => ( cons(sK7(X0),sK6(X0)) = X0
        & ssItem(sK7(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f188,plain,
    ! [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) ) )
      | ~ ssList(X0)
      | nil = X0 ),
    inference(flattening,[],[f187]) ).

fof(f187,plain,
    ! [X0] :
      ( nil = X0
      | ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil = X0
        | ? [X1] :
            ( ssList(X1)
            & ? [X2] :
                ( cons(X2,X1) = X0
                & ssItem(X2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).

fof(f979,plain,
    ! [X4] :
      ( nil = X4
      | ~ ssList(X4)
      | tl(X4) = sK6(X4)
      | ~ ssItem(sK7(X4)) ),
    inference(subsumption_resolution,[],[f972,f356]) ).

fof(f356,plain,
    ! [X0] :
      ( ssList(sK6(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f234]) ).

fof(f972,plain,
    ! [X4] :
      ( ~ ssList(X4)
      | ~ ssList(sK6(X4))
      | ~ ssItem(sK7(X4))
      | tl(X4) = sK6(X4)
      | nil = X4 ),
    inference(superposition,[],[f539,f355]) ).

fof(f355,plain,
    ! [X0] :
      ( cons(sK7(X0),sK6(X0)) = X0
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f234]) ).

fof(f1180,plain,
    ( nil = sK6(sK21)
    | ~ spl68_22 ),
    inference(avatar_component_clause,[],[f1178]) ).

fof(f1193,plain,
    ( spl68_6
    | spl68_20 ),
    inference(avatar_contradiction_clause,[],[f1192]) ).

fof(f1192,plain,
    ( $false
    | spl68_6
    | spl68_20 ),
    inference(subsumption_resolution,[],[f1191,f404]) ).

fof(f1191,plain,
    ( ~ ssList(sK21)
    | spl68_6
    | spl68_20 ),
    inference(subsumption_resolution,[],[f1185,f646]) ).

fof(f646,plain,
    ( nil != sK21
    | spl68_6 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f1185,plain,
    ( nil = sK21
    | ~ ssList(sK21)
    | spl68_20 ),
    inference(resolution,[],[f1169,f356]) ).

fof(f1169,plain,
    ( ~ ssList(sK6(sK21))
    | spl68_20 ),
    inference(avatar_component_clause,[],[f1167]) ).

fof(f1167,plain,
    ( spl68_20
  <=> ssList(sK6(sK21)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_20])]) ).

fof(f1184,plain,
    ( spl68_22
    | ~ spl68_20
    | ~ spl68_2
    | ~ spl68_4
    | spl68_6
    | ~ spl68_9 ),
    inference(avatar_split_clause,[],[f1183,f660,f645,f636,f627,f1167,f1178]) ).

fof(f1183,plain,
    ( ~ ssList(sK6(sK21))
    | nil = sK6(sK21)
    | ~ spl68_2
    | ~ spl68_4
    | spl68_6
    | ~ spl68_9 ),
    inference(forward_demodulation,[],[f1182,f878]) ).

fof(f878,plain,
    ( nil = tl(sK21)
    | ~ spl68_2
    | ~ spl68_4
    | ~ spl68_9 ),
    inference(subsumption_resolution,[],[f877,f637]) ).

fof(f877,plain,
    ( nil = tl(sK21)
    | ~ ssList(nil)
    | ~ spl68_2
    | ~ spl68_9 ),
    inference(subsumption_resolution,[],[f875,f662]) ).

fof(f875,plain,
    ( ~ ssItem(sK29)
    | ~ ssList(nil)
    | nil = tl(sK21)
    | ~ spl68_2 ),
    inference(superposition,[],[f539,f683]) ).

fof(f683,plain,
    ( sK21 = cons(sK29,nil)
    | ~ spl68_2 ),
    inference(forward_demodulation,[],[f612,f629]) ).

fof(f1182,plain,
    ( sK6(sK21) = tl(sK21)
    | ~ ssList(sK6(sK21))
    | ~ spl68_2
    | ~ spl68_4
    | spl68_6
    | ~ spl68_9 ),
    inference(subsumption_resolution,[],[f1159,f662]) ).

fof(f1159,plain,
    ( sK6(sK21) = tl(sK21)
    | ~ ssItem(sK29)
    | ~ ssList(sK6(sK21))
    | ~ spl68_2
    | ~ spl68_4
    | spl68_6
    | ~ spl68_9 ),
    inference(superposition,[],[f539,f1088]) ).

fof(f1088,plain,
    ( cons(sK29,sK6(sK21)) = sK21
    | ~ spl68_2
    | ~ spl68_4
    | spl68_6
    | ~ spl68_9 ),
    inference(subsumption_resolution,[],[f1087,f404]) ).

fof(f1087,plain,
    ( cons(sK29,sK6(sK21)) = sK21
    | ~ ssList(sK21)
    | ~ spl68_2
    | ~ spl68_4
    | spl68_6
    | ~ spl68_9 ),
    inference(subsumption_resolution,[],[f1069,f646]) ).

fof(f1069,plain,
    ( nil = sK21
    | ~ ssList(sK21)
    | cons(sK29,sK6(sK21)) = sK21
    | ~ spl68_2
    | ~ spl68_4
    | ~ spl68_9 ),
    inference(superposition,[],[f989,f867]) ).

fof(f867,plain,
    ( sK29 = hd(sK21)
    | ~ spl68_2
    | ~ spl68_4
    | ~ spl68_9 ),
    inference(subsumption_resolution,[],[f866,f662]) ).

fof(f866,plain,
    ( sK29 = hd(sK21)
    | ~ ssItem(sK29)
    | ~ spl68_2
    | ~ spl68_4 ),
    inference(subsumption_resolution,[],[f862,f637]) ).

fof(f862,plain,
    ( sK29 = hd(sK21)
    | ~ ssList(nil)
    | ~ ssItem(sK29)
    | ~ spl68_2 ),
    inference(superposition,[],[f514,f683]) ).

fof(f989,plain,
    ! [X1] :
      ( cons(hd(X1),sK6(X1)) = X1
      | nil = X1
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f987]) ).

fof(f987,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ ssList(X1)
      | cons(hd(X1),sK6(X1)) = X1
      | nil = X1
      | nil = X1 ),
    inference(superposition,[],[f355,f976]) ).

fof(f976,plain,
    ! [X2] :
      ( sK7(X2) = hd(X2)
      | nil = X2
      | ~ ssList(X2) ),
    inference(subsumption_resolution,[],[f975,f354]) ).

fof(f975,plain,
    ! [X2] :
      ( ~ ssList(X2)
      | nil = X2
      | ~ ssItem(sK7(X2))
      | sK7(X2) = hd(X2) ),
    inference(subsumption_resolution,[],[f970,f356]) ).

fof(f970,plain,
    ! [X2] :
      ( ~ ssList(sK6(X2))
      | ~ ssList(X2)
      | nil = X2
      | sK7(X2) = hd(X2)
      | ~ ssItem(sK7(X2)) ),
    inference(superposition,[],[f514,f355]) ).

fof(f791,plain,
    ( spl68_16
    | ~ spl68_4 ),
    inference(avatar_split_clause,[],[f790,f636,f768]) ).

fof(f790,plain,
    ( ssList(sF62)
    | ~ spl68_4 ),
    inference(subsumption_resolution,[],[f784,f419]) ).

fof(f784,plain,
    ( ssList(sF62)
    | ~ ssItem(sK25)
    | ~ spl68_4 ),
    inference(subsumption_resolution,[],[f777,f637]) ).

fof(f777,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sK25)
    | ssList(sF62) ),
    inference(superposition,[],[f521,f606]) ).

fof(f521,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f185]) ).

fof(f185,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(cons(X1,X0))
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f16]) ).

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

fof(f789,plain,
    ( spl68_13
    | ~ spl68_4 ),
    inference(avatar_split_clause,[],[f788,f636,f754]) ).

fof(f754,plain,
    ( spl68_13
  <=> ssList(sF64) ),
    introduced(avatar_definition,[new_symbols(naming,[spl68_13])]) ).

fof(f788,plain,
    ( ssList(sF64)
    | ~ spl68_4 ),
    inference(subsumption_resolution,[],[f780,f415]) ).

fof(f780,plain,
    ( ~ ssItem(sK26)
    | ssList(sF64)
    | ~ spl68_4 ),
    inference(subsumption_resolution,[],[f778,f637]) ).

fof(f778,plain,
    ( ~ ssList(nil)
    | ssList(sF64)
    | ~ ssItem(sK26) ),
    inference(superposition,[],[f521,f608]) ).

fof(f771,plain,
    ( spl68_15
    | ~ spl68_16 ),
    inference(avatar_split_clause,[],[f766,f768,f762]) ).

fof(f766,plain,
    ( ~ ssList(sF62)
    | ssList(sF63) ),
    inference(subsumption_resolution,[],[f747,f416]) ).

fof(f747,plain,
    ( ~ ssList(sF62)
    | ssList(sF63)
    | ~ ssList(sK27) ),
    inference(superposition,[],[f491,f607]) ).

fof(f765,plain,
    ( ~ spl68_13
    | spl68_14
    | ~ spl68_15 ),
    inference(avatar_split_clause,[],[f748,f762,f758,f754]) ).

fof(f748,plain,
    ( ~ ssList(sF63)
    | ssList(sF65)
    | ~ ssList(sF64) ),
    inference(superposition,[],[f491,f609]) ).

fof(f681,plain,
    spl68_4,
    inference(avatar_split_clause,[],[f460,f636]) ).

fof(f460,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

fof(f663,plain,
    ( spl68_6
    | spl68_9 ),
    inference(avatar_split_clause,[],[f577,f660,f645]) ).

fof(f577,plain,
    ( ssItem(sK29)
    | nil = sK21 ),
    inference(definition_unfolding,[],[f407,f413]) ).

fof(f413,plain,
    sK23 = sK21,
    inference(cnf_transformation,[],[f271]) ).

fof(f407,plain,
    ( ssItem(sK29)
    | nil = sK23 ),
    inference(cnf_transformation,[],[f271]) ).

fof(f648,plain,
    ( spl68_6
    | spl68_2 ),
    inference(avatar_split_clause,[],[f613,f627,f645]) ).

fof(f613,plain,
    ( sK21 = sF67
    | nil = sK21 ),
    inference(definition_folding,[],[f573,f612]) ).

fof(f573,plain,
    ( sK21 = cons(sK29,nil)
    | nil = sK21 ),
    inference(definition_unfolding,[],[f411,f413,f413]) ).

fof(f411,plain,
    ( sK23 = cons(sK29,nil)
    | nil = sK23 ),
    inference(cnf_transformation,[],[f271]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWC177+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n005.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 18:31:18 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.50  % (13628)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.50  % (13629)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.50  % (13644)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51  % (13649)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.51  % (13653)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.51  % (13641)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.51  % (13646)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51  % (13630)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51  % (13640)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51  % (13654)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51  % (13636)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.51  % (13634)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.52  % (13631)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (13644)Instruction limit reached!
% 0.19/0.52  % (13644)------------------------------
% 0.19/0.52  % (13644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (13644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (13644)Termination reason: Unknown
% 0.19/0.52  % (13644)Termination phase: shuffling
% 0.19/0.52  
% 0.19/0.52  % (13644)Memory used [KB]: 1791
% 0.19/0.52  % (13644)Time elapsed: 0.009 s
% 0.19/0.52  % (13644)Instructions burned: 9 (million)
% 0.19/0.52  % (13644)------------------------------
% 0.19/0.52  % (13644)------------------------------
% 0.19/0.52  % (13633)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.52  % (13629)Instruction limit reached!
% 0.19/0.52  % (13629)------------------------------
% 0.19/0.52  % (13629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (13629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (13629)Termination reason: Unknown
% 0.19/0.52  % (13629)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (13629)Memory used [KB]: 6396
% 0.19/0.52  % (13629)Time elapsed: 0.122 s
% 0.19/0.52  % (13629)Instructions burned: 13 (million)
% 0.19/0.52  % (13629)------------------------------
% 0.19/0.52  % (13629)------------------------------
% 0.19/0.52  % (13650)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.52  % (13642)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (13659)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.52  % (13660)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.53  % (13637)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.32/0.53  % (13638)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.32/0.53  % (13649)Refutation not found, incomplete strategy% (13649)------------------------------
% 1.32/0.53  % (13649)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.53  % (13649)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.53  % (13649)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.53  
% 1.32/0.53  % (13649)Memory used [KB]: 6140
% 1.32/0.53  % (13649)Time elapsed: 0.131 s
% 1.32/0.53  % (13649)Instructions burned: 5 (million)
% 1.32/0.53  % (13649)------------------------------
% 1.32/0.53  % (13649)------------------------------
% 1.32/0.53  % (13651)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.32/0.53  % (13640)Instruction limit reached!
% 1.32/0.53  % (13640)------------------------------
% 1.32/0.53  % (13640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.53  % (13640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.53  % (13640)Termination reason: Unknown
% 1.32/0.53  % (13640)Termination phase: Saturation
% 1.32/0.53  
% 1.32/0.53  % (13640)Memory used [KB]: 6140
% 1.32/0.53  % (13640)Time elapsed: 0.134 s
% 1.32/0.53  % (13640)Instructions burned: 7 (million)
% 1.32/0.53  % (13640)------------------------------
% 1.32/0.53  % (13640)------------------------------
% 1.32/0.53  % (13632)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.32/0.54  % (13662)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.32/0.54  % (13648)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.32/0.54  % (13633)Instruction limit reached!
% 1.32/0.54  % (13633)------------------------------
% 1.32/0.54  % (13633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.54  % (13633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.54  % (13633)Termination reason: Unknown
% 1.32/0.54  % (13633)Termination phase: Saturation
% 1.32/0.54  
% 1.32/0.54  % (13633)Memory used [KB]: 1663
% 1.32/0.54  % (13633)Time elapsed: 0.126 s
% 1.32/0.54  % (13633)Instructions burned: 16 (million)
% 1.32/0.54  % (13633)------------------------------
% 1.32/0.54  % (13633)------------------------------
% 1.32/0.54  % (13648)Instruction limit reached!
% 1.32/0.54  % (13648)------------------------------
% 1.32/0.54  % (13648)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.54  % (13648)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.54  % (13648)Termination reason: Unknown
% 1.32/0.54  % (13648)Termination phase: Preprocessing 3
% 1.32/0.54  
% 1.32/0.54  % (13648)Memory used [KB]: 1535
% 1.32/0.54  % (13648)Time elapsed: 0.002 s
% 1.32/0.54  % (13648)Instructions burned: 3 (million)
% 1.32/0.54  % (13648)------------------------------
% 1.32/0.54  % (13648)------------------------------
% 1.32/0.54  % (13660)Instruction limit reached!
% 1.32/0.54  % (13660)------------------------------
% 1.32/0.54  % (13660)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.54  % (13660)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.54  % (13660)Termination reason: Unknown
% 1.32/0.54  % (13660)Termination phase: shuffling
% 1.32/0.54  
% 1.32/0.54  % (13660)Memory used [KB]: 1791
% 1.32/0.54  % (13660)Time elapsed: 0.008 s
% 1.32/0.54  % (13660)Instructions burned: 10 (million)
% 1.32/0.54  % (13660)------------------------------
% 1.32/0.54  % (13660)------------------------------
% 1.32/0.54  % (13657)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.32/0.54  % (13630)Instruction limit reached!
% 1.32/0.54  % (13630)------------------------------
% 1.32/0.54  % (13630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.54  % (13630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.54  % (13630)Termination reason: Unknown
% 1.32/0.54  % (13630)Termination phase: Preprocessing 3
% 1.32/0.54  
% 1.32/0.54  % (13630)Memory used [KB]: 1663
% 1.32/0.54  % (13630)Time elapsed: 0.004 s
% 1.32/0.54  % (13630)Instructions burned: 4 (million)
% 1.32/0.54  % (13630)------------------------------
% 1.32/0.54  % (13630)------------------------------
% 1.32/0.54  % (13647)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.32/0.54  % (13639)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.32/0.54  % (13647)Instruction limit reached!
% 1.32/0.54  % (13647)------------------------------
% 1.32/0.54  % (13647)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.54  % (13647)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.54  % (13647)Termination reason: Unknown
% 1.32/0.54  % (13647)Termination phase: Naming
% 1.32/0.54  
% 1.32/0.54  % (13647)Memory used [KB]: 1535
% 1.32/0.54  % (13647)Time elapsed: 0.003 s
% 1.32/0.54  % (13647)Instructions burned: 3 (million)
% 1.32/0.54  % (13647)------------------------------
% 1.32/0.54  % (13647)------------------------------
% 1.32/0.54  % (13656)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.32/0.54  % (13639)Refutation not found, incomplete strategy% (13639)------------------------------
% 1.32/0.54  % (13639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.54  % (13639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.54  % (13639)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.54  
% 1.32/0.54  % (13639)Memory used [KB]: 6140
% 1.32/0.54  % (13639)Time elapsed: 0.143 s
% 1.32/0.54  % (13639)Instructions burned: 7 (million)
% 1.32/0.54  % (13639)------------------------------
% 1.32/0.54  % (13639)------------------------------
% 1.54/0.55  % (13652)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.54/0.55  % (13632)Instruction limit reached!
% 1.54/0.55  % (13632)------------------------------
% 1.54/0.55  % (13632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.55  % (13632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.55  % (13632)Termination reason: Unknown
% 1.54/0.55  % (13632)Termination phase: Saturation
% 1.54/0.55  
% 1.54/0.55  % (13632)Memory used [KB]: 6268
% 1.54/0.55  % (13632)Time elapsed: 0.142 s
% 1.54/0.55  % (13632)Instructions burned: 13 (million)
% 1.54/0.55  % (13632)------------------------------
% 1.54/0.55  % (13632)------------------------------
% 1.54/0.55  % (13659)Instruction limit reached!
% 1.54/0.55  % (13659)------------------------------
% 1.54/0.55  % (13659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.55  % (13659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.55  % (13659)Termination reason: Unknown
% 1.54/0.55  % (13659)Termination phase: Saturation
% 1.54/0.55  
% 1.54/0.55  % (13659)Memory used [KB]: 6652
% 1.54/0.55  % (13659)Time elapsed: 0.141 s
% 1.54/0.55  % (13659)Instructions burned: 25 (million)
% 1.54/0.55  % (13659)------------------------------
% 1.54/0.55  % (13659)------------------------------
% 1.54/0.55  % (13641)Instruction limit reached!
% 1.54/0.55  % (13641)------------------------------
% 1.54/0.55  % (13641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.55  % (13641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.55  % (13641)Termination reason: Unknown
% 1.54/0.55  % (13641)Termination phase: Saturation
% 1.54/0.55  
% 1.54/0.55  % (13641)Memory used [KB]: 2046
% 1.54/0.55  % (13641)Time elapsed: 0.144 s
% 1.54/0.55  % (13641)Instructions burned: 17 (million)
% 1.54/0.55  % (13641)------------------------------
% 1.54/0.55  % (13641)------------------------------
% 1.54/0.55  % (13643)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.54/0.55  % (13643)Instruction limit reached!
% 1.54/0.55  % (13643)------------------------------
% 1.54/0.55  % (13643)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.55  % (13643)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.55  % (13643)Termination reason: Unknown
% 1.54/0.55  % (13643)Termination phase: Naming
% 1.54/0.55  
% 1.54/0.55  % (13643)Memory used [KB]: 1535
% 1.54/0.55  % (13643)Time elapsed: 0.004 s
% 1.54/0.55  % (13643)Instructions burned: 3 (million)
% 1.54/0.55  % (13643)------------------------------
% 1.54/0.55  % (13643)------------------------------
% 1.54/0.57  % (13650)Instruction limit reached!
% 1.54/0.57  % (13650)------------------------------
% 1.54/0.57  % (13650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.57  % (13650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.57  % (13650)Termination reason: Unknown
% 1.54/0.57  % (13650)Termination phase: Saturation
% 1.54/0.57  
% 1.54/0.57  % (13650)Memory used [KB]: 6524
% 1.54/0.57  % (13650)Time elapsed: 0.183 s
% 1.54/0.57  % (13650)Instructions burned: 30 (million)
% 1.54/0.57  % (13650)------------------------------
% 1.54/0.57  % (13650)------------------------------
% 1.54/0.57  % (13636)Refutation not found, non-redundant clauses discarded% (13636)------------------------------
% 1.54/0.57  % (13636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.57  % (13636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.57  % (13636)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.54/0.57  
% 1.54/0.57  % (13636)Memory used [KB]: 6524
% 1.54/0.57  % (13636)Time elapsed: 0.130 s
% 1.54/0.57  % (13636)Instructions burned: 36 (million)
% 1.54/0.57  % (13636)------------------------------
% 1.54/0.57  % (13636)------------------------------
% 1.54/0.58  % (13634)Instruction limit reached!
% 1.54/0.58  % (13634)------------------------------
% 1.54/0.58  % (13634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.59  % (13662)Instruction limit reached!
% 1.54/0.59  % (13662)------------------------------
% 1.54/0.59  % (13662)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.59  % (13638)Instruction limit reached!
% 1.54/0.59  % (13638)------------------------------
% 1.54/0.59  % (13638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.59  % (13653)Instruction limit reached!
% 1.54/0.59  % (13653)------------------------------
% 1.54/0.59  % (13653)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.59  % (13653)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.59  % (13653)Termination reason: Unknown
% 1.54/0.59  % (13653)Termination phase: Saturation
% 1.54/0.59  
% 1.54/0.59  % (13653)Memory used [KB]: 2046
% 1.54/0.59  % (13653)Time elapsed: 0.158 s
% 1.54/0.59  % (13653)Instructions burned: 46 (million)
% 1.54/0.59  % (13653)------------------------------
% 1.54/0.59  % (13653)------------------------------
% 1.54/0.59  % (13638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.59  % (13638)Termination reason: Unknown
% 1.54/0.59  % (13638)Termination phase: Saturation
% 1.54/0.59  
% 1.54/0.59  % (13638)Memory used [KB]: 6652
% 1.54/0.59  % (13638)Time elapsed: 0.175 s
% 1.54/0.59  % (13638)Instructions burned: 34 (million)
% 1.54/0.59  % (13638)------------------------------
% 1.54/0.59  % (13638)------------------------------
% 1.54/0.59  % (13631)Instruction limit reached!
% 1.54/0.59  % (13631)------------------------------
% 1.54/0.59  % (13631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.59  % (13631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.59  % (13631)Termination reason: Unknown
% 1.54/0.59  % (13631)Termination phase: Saturation
% 1.54/0.59  
% 1.54/0.59  % (13631)Memory used [KB]: 7164
% 1.54/0.59  % (13631)Time elapsed: 0.189 s
% 1.54/0.59  % (13631)Instructions burned: 53 (million)
% 1.54/0.59  % (13631)------------------------------
% 1.54/0.59  % (13631)------------------------------
% 1.54/0.60  % (13654)Instruction limit reached!
% 1.54/0.60  % (13654)------------------------------
% 1.54/0.60  % (13654)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.60  % (13654)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.60  % (13654)Termination reason: Unknown
% 1.54/0.60  % (13654)Termination phase: Saturation
% 1.54/0.60  
% 1.54/0.60  % (13654)Memory used [KB]: 6780
% 1.54/0.60  % (13654)Time elapsed: 0.213 s
% 1.54/0.60  % (13654)Instructions burned: 51 (million)
% 1.54/0.60  % (13654)------------------------------
% 1.54/0.60  % (13654)------------------------------
% 1.54/0.60  % (13662)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.60  % (13662)Termination reason: Unknown
% 1.54/0.60  % (13662)Termination phase: Saturation
% 1.54/0.60  
% 1.54/0.60  % (13662)Memory used [KB]: 6396
% 1.54/0.60  % (13662)Time elapsed: 0.186 s
% 1.54/0.60  % (13662)Instructions burned: 25 (million)
% 1.54/0.60  % (13662)------------------------------
% 1.54/0.60  % (13662)------------------------------
% 1.54/0.60  % (13634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.60  % (13634)Termination reason: Unknown
% 1.54/0.60  % (13634)Termination phase: Saturation
% 1.54/0.60  
% 1.54/0.60  % (13634)Memory used [KB]: 6652
% 1.54/0.60  % (13634)Time elapsed: 0.184 s
% 1.54/0.60  % (13634)Instructions burned: 39 (million)
% 1.54/0.60  % (13634)------------------------------
% 1.54/0.60  % (13634)------------------------------
% 1.54/0.61  % (13637)Instruction limit reached!
% 1.54/0.61  % (13637)------------------------------
% 1.54/0.61  % (13637)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.61  % (13637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.61  % (13637)Termination reason: Unknown
% 1.54/0.61  % (13637)Termination phase: Saturation
% 1.54/0.61  
% 1.54/0.61  % (13637)Memory used [KB]: 6908
% 1.54/0.61  % (13637)Time elapsed: 0.222 s
% 1.54/0.61  % (13637)Instructions burned: 50 (million)
% 1.54/0.61  % (13637)------------------------------
% 1.54/0.61  % (13637)------------------------------
% 1.54/0.61  % (13646)Instruction limit reached!
% 1.54/0.61  % (13646)------------------------------
% 1.54/0.61  % (13646)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.61  % (13646)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.61  % (13646)Termination reason: Unknown
% 1.54/0.61  % (13646)Termination phase: Saturation
% 1.54/0.61  
% 1.54/0.61  % (13646)Memory used [KB]: 7164
% 1.54/0.61  % (13646)Time elapsed: 0.207 s
% 1.54/0.61  % (13646)Instructions burned: 50 (million)
% 1.54/0.61  % (13646)------------------------------
% 1.54/0.61  % (13646)------------------------------
% 1.54/0.62  % (13642)Instruction limit reached!
% 1.54/0.62  % (13642)------------------------------
% 1.54/0.62  % (13642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.62  % (13642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.62  % (13642)Termination reason: Unknown
% 1.54/0.62  % (13642)Termination phase: Saturation
% 1.54/0.62  
% 1.54/0.62  % (13642)Memory used [KB]: 7164
% 1.54/0.62  % (13642)Time elapsed: 0.203 s
% 1.54/0.62  % (13642)Instructions burned: 51 (million)
% 1.54/0.62  % (13642)------------------------------
% 1.54/0.62  % (13642)------------------------------
% 1.97/0.64  % (13730)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 1.97/0.65  % (13731)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.97/0.65  % (13739)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 1.97/0.65  % (13743)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 1.97/0.66  % (13747)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/31Mi)
% 1.97/0.66  % (13746)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/42Mi)
% 1.97/0.67  % (13652)Instruction limit reached!
% 1.97/0.67  % (13652)------------------------------
% 1.97/0.67  % (13652)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.67  % (13742)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 1.97/0.67  % (13737)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 1.97/0.68  % (13731)Instruction limit reached!
% 1.97/0.68  % (13731)------------------------------
% 1.97/0.68  % (13731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.68  % (13652)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.68  % (13652)Termination reason: Unknown
% 2.02/0.68  % (13652)Termination phase: Saturation
% 2.02/0.68  
% 2.02/0.68  % (13652)Memory used [KB]: 8315
% 2.02/0.68  % (13652)Time elapsed: 0.271 s
% 2.02/0.68  % (13652)Instructions burned: 84 (million)
% 2.02/0.68  % (13652)------------------------------
% 2.02/0.68  % (13652)------------------------------
% 2.02/0.68  % (13731)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.68  % (13731)Termination reason: Unknown
% 2.02/0.68  % (13731)Termination phase: Saturation
% 2.02/0.68  
% 2.02/0.68  % (13731)Memory used [KB]: 10746
% 2.02/0.68  % (13731)Time elapsed: 0.135 s
% 2.02/0.68  % (13731)Instructions burned: 8 (million)
% 2.02/0.68  % (13731)------------------------------
% 2.02/0.68  % (13731)------------------------------
% 2.02/0.69  % (13747)Refutation not found, incomplete strategy% (13747)------------------------------
% 2.02/0.69  % (13747)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.69  % (13747)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.69  % (13747)Termination reason: Refutation not found, incomplete strategy
% 2.02/0.69  
% 2.02/0.69  % (13747)Memory used [KB]: 6524
% 2.02/0.69  % (13747)Time elapsed: 0.121 s
% 2.02/0.69  % (13747)Instructions burned: 14 (million)
% 2.02/0.69  % (13752)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/84Mi)
% 2.02/0.69  % (13747)------------------------------
% 2.02/0.69  % (13747)------------------------------
% 2.02/0.69  % (13774)ott+10_4:7_awrs=converge:bd=preordered:flr=on:nwc=10.0:sos=on:sp=reverse_frequency:to=lpo:urr=on:i=19:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/19Mi)
% 2.02/0.69  % (13749)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/68Mi)
% 2.02/0.69  % (13755)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/93Mi)
% 2.02/0.69  % (13757)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 2.02/0.69  % (13754)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/131Mi)
% 2.02/0.69  % (13761)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 2.02/0.69  % (13745)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/141Mi)
% 2.02/0.70  % (13628)First to succeed.
% 2.02/0.70  % (13651)Instruction limit reached!
% 2.02/0.70  % (13651)------------------------------
% 2.02/0.70  % (13651)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.70  % (13651)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.70  % (13651)Termination reason: Unknown
% 2.02/0.70  % (13651)Termination phase: Saturation
% 2.02/0.70  
% 2.02/0.70  % (13651)Memory used [KB]: 8059
% 2.02/0.70  % (13651)Time elapsed: 0.263 s
% 2.02/0.70  % (13651)Instructions burned: 99 (million)
% 2.02/0.70  % (13651)------------------------------
% 2.02/0.70  % (13651)------------------------------
% 2.02/0.70  % (13656)Instruction limit reached!
% 2.02/0.70  % (13656)------------------------------
% 2.02/0.70  % (13656)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.70  % (13656)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.70  % (13656)Termination reason: Unknown
% 2.02/0.70  % (13656)Termination phase: Saturation
% 2.02/0.70  
% 2.02/0.70  % (13656)Memory used [KB]: 7547
% 2.02/0.70  % (13656)Time elapsed: 0.288 s
% 2.02/0.70  % (13656)Instructions burned: 95 (million)
% 2.02/0.70  % (13656)------------------------------
% 2.02/0.70  % (13656)------------------------------
% 2.02/0.70  % (13628)Refutation found. Thanks to Tanya!
% 2.02/0.70  % SZS status Theorem for theBenchmark
% 2.02/0.70  % SZS output start Proof for theBenchmark
% See solution above
% 2.02/0.70  % (13628)------------------------------
% 2.02/0.70  % (13628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.70  % (13628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.70  % (13628)Termination reason: Refutation
% 2.02/0.70  
% 2.02/0.70  % (13628)Memory used [KB]: 7803
% 2.02/0.70  % (13628)Time elapsed: 0.308 s
% 2.02/0.70  % (13628)Instructions burned: 112 (million)
% 2.02/0.70  % (13628)------------------------------
% 2.02/0.70  % (13628)------------------------------
% 2.02/0.70  % (13623)Success in time 0.36 s
%------------------------------------------------------------------------------