TSTP Solution File: SWC070+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC070+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n026.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 : Tue May 21 04:36:00 EDT 2024

% Result   : Theorem 0.58s 0.76s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   85 (   7 unt;   0 def)
%            Number of atoms       :  459 ( 120 equ)
%            Maximal formula atoms :   32 (   5 avg)
%            Number of connectives :  592 ( 218   ~; 205   |; 137   &)
%                                         (   9 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   6 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :  130 (  87   !;  43   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f847,plain,
    $false,
    inference(avatar_sat_refutation,[],[f257,f262,f267,f268,f269,f456,f846]) ).

fof(f846,plain,
    ( ~ spl11_2
    | ~ spl11_4
    | ~ spl11_15 ),
    inference(avatar_contradiction_clause,[],[f845]) ).

fof(f845,plain,
    ( $false
    | ~ spl11_2
    | ~ spl11_4
    | ~ spl11_15 ),
    inference(subsumption_resolution,[],[f844,f171]) ).

fof(f171,plain,
    ssList(sK2),
    inference(cnf_transformation,[],[f145]) ).

fof(f145,plain,
    ( ( ( frontsegP(sK3,sK2)
        & neq(sK2,nil) )
      | ( nil = sK2
        & nil = sK3 ) )
    & ( nil != sK0
      | nil != sK1 )
    & ! [X4] :
        ( ~ segmentP(sK0,X4)
        | ~ segmentP(sK1,X4)
        | ~ neq(X4,nil)
        | ~ ssList(X4) )
    & sK0 = sK2
    & sK1 = sK3
    & ssList(sK3)
    & ssList(sK2)
    & ssList(sK1)
    & ssList(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f99,f144,f143,f142,f141]) ).

fof(f141,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ( frontsegP(X3,X2)
                        & neq(X2,nil) )
                      | ( nil = X2
                        & nil = X3 ) )
                    & ( nil != X0
                      | nil != X1 )
                    & ! [X4] :
                        ( ~ segmentP(X0,X4)
                        | ~ segmentP(X1,X4)
                        | ~ neq(X4,nil)
                        | ~ ssList(X4) )
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( frontsegP(X3,X2)
                      & neq(X2,nil) )
                    | ( nil = X2
                      & nil = X3 ) )
                  & ( nil != sK0
                    | nil != X1 )
                  & ! [X4] :
                      ( ~ segmentP(sK0,X4)
                      | ~ segmentP(X1,X4)
                      | ~ neq(X4,nil)
                      | ~ ssList(X4) )
                  & sK0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f142,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ( frontsegP(X3,X2)
                    & neq(X2,nil) )
                  | ( nil = X2
                    & nil = X3 ) )
                & ( nil != sK0
                  | nil != X1 )
                & ! [X4] :
                    ( ~ segmentP(sK0,X4)
                    | ~ segmentP(X1,X4)
                    | ~ neq(X4,nil)
                    | ~ ssList(X4) )
                & sK0 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ( frontsegP(X3,X2)
                  & neq(X2,nil) )
                | ( nil = X2
                  & nil = X3 ) )
              & ( nil != sK0
                | nil != sK1 )
              & ! [X4] :
                  ( ~ segmentP(sK0,X4)
                  | ~ segmentP(sK1,X4)
                  | ~ neq(X4,nil)
                  | ~ ssList(X4) )
              & sK0 = X2
              & sK1 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f143,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ( frontsegP(X3,X2)
                & neq(X2,nil) )
              | ( nil = X2
                & nil = X3 ) )
            & ( nil != sK0
              | nil != sK1 )
            & ! [X4] :
                ( ~ segmentP(sK0,X4)
                | ~ segmentP(sK1,X4)
                | ~ neq(X4,nil)
                | ~ ssList(X4) )
            & sK0 = X2
            & sK1 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ( frontsegP(X3,sK2)
              & neq(sK2,nil) )
            | ( nil = sK2
              & nil = X3 ) )
          & ( nil != sK0
            | nil != sK1 )
          & ! [X4] :
              ( ~ segmentP(sK0,X4)
              | ~ segmentP(sK1,X4)
              | ~ neq(X4,nil)
              | ~ ssList(X4) )
          & sK0 = sK2
          & sK1 = X3
          & ssList(X3) )
      & ssList(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f144,plain,
    ( ? [X3] :
        ( ( ( frontsegP(X3,sK2)
            & neq(sK2,nil) )
          | ( nil = sK2
            & nil = X3 ) )
        & ( nil != sK0
          | nil != sK1 )
        & ! [X4] :
            ( ~ segmentP(sK0,X4)
            | ~ segmentP(sK1,X4)
            | ~ neq(X4,nil)
            | ~ ssList(X4) )
        & sK0 = sK2
        & sK1 = X3
        & ssList(X3) )
   => ( ( ( frontsegP(sK3,sK2)
          & neq(sK2,nil) )
        | ( nil = sK2
          & nil = sK3 ) )
      & ( nil != sK0
        | nil != sK1 )
      & ! [X4] :
          ( ~ segmentP(sK0,X4)
          | ~ segmentP(sK1,X4)
          | ~ neq(X4,nil)
          | ~ ssList(X4) )
      & sK0 = sK2
      & sK1 = sK3
      & ssList(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( frontsegP(X3,X2)
                      & neq(X2,nil) )
                    | ( nil = X2
                      & nil = X3 ) )
                  & ( nil != X0
                    | nil != X1 )
                  & ! [X4] :
                      ( ~ segmentP(X0,X4)
                      | ~ segmentP(X1,X4)
                      | ~ neq(X4,nil)
                      | ~ ssList(X4) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f98]) ).

fof(f98,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( frontsegP(X3,X2)
                      & neq(X2,nil) )
                    | ( nil = X2
                      & nil = X3 ) )
                  & ( nil != X0
                    | nil != X1 )
                  & ! [X4] :
                      ( ~ segmentP(X0,X4)
                      | ~ segmentP(X1,X4)
                      | ~ neq(X4,nil)
                      | ~ ssList(X4) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( ( ~ frontsegP(X3,X2)
                          | ~ neq(X2,nil) )
                        & ( nil != X2
                          | nil != X3 ) )
                      | ( nil = X0
                        & nil = X1 )
                      | ? [X4] :
                          ( segmentP(X0,X4)
                          & segmentP(X1,X4)
                          & neq(X4,nil)
                          & ssList(X4) )
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( ( ~ frontsegP(X3,X2)
                        | ~ neq(X2,nil) )
                      & ( nil != X2
                        | nil != X3 ) )
                    | ( nil = X0
                      & nil = X1 )
                    | ? [X4] :
                        ( segmentP(X0,X4)
                        & segmentP(X1,X4)
                        & neq(X4,nil)
                        & ssList(X4) )
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f844,plain,
    ( ~ ssList(sK2)
    | ~ spl11_2
    | ~ spl11_4
    | ~ spl11_15 ),
    inference(resolution,[],[f816,f203]) ).

fof(f203,plain,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f55,axiom,
    ! [X0] :
      ( ssList(X0)
     => segmentP(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax55) ).

fof(f816,plain,
    ( ~ segmentP(sK2,sK2)
    | ~ spl11_2
    | ~ spl11_4
    | ~ spl11_15 ),
    inference(subsumption_resolution,[],[f815,f171]) ).

fof(f815,plain,
    ( ~ segmentP(sK2,sK2)
    | ~ ssList(sK2)
    | ~ spl11_2
    | ~ spl11_4
    | ~ spl11_15 ),
    inference(subsumption_resolution,[],[f810,f266]) ).

fof(f266,plain,
    ( neq(sK2,nil)
    | ~ spl11_4 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f264,plain,
    ( spl11_4
  <=> neq(sK2,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).

fof(f810,plain,
    ( ~ segmentP(sK2,sK2)
    | ~ neq(sK2,nil)
    | ~ ssList(sK2)
    | ~ spl11_2
    | ~ spl11_15 ),
    inference(resolution,[],[f809,f233]) ).

fof(f233,plain,
    ! [X4] :
      ( ~ segmentP(sK3,X4)
      | ~ segmentP(sK2,X4)
      | ~ neq(X4,nil)
      | ~ ssList(X4) ),
    inference(definition_unfolding,[],[f175,f174,f173]) ).

fof(f173,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f145]) ).

fof(f174,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f145]) ).

fof(f175,plain,
    ! [X4] :
      ( ~ segmentP(sK0,X4)
      | ~ segmentP(sK1,X4)
      | ~ neq(X4,nil)
      | ~ ssList(X4) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f809,plain,
    ( segmentP(sK3,sK2)
    | ~ spl11_2
    | ~ spl11_15 ),
    inference(subsumption_resolution,[],[f808,f436]) ).

fof(f436,plain,
    ( ssList(sK4(sK3,sK2))
    | ~ spl11_15 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f435,plain,
    ( spl11_15
  <=> ssList(sK4(sK3,sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_15])]) ).

fof(f808,plain,
    ( segmentP(sK3,sK2)
    | ~ ssList(sK4(sK3,sK2))
    | ~ spl11_2 ),
    inference(subsumption_resolution,[],[f796,f171]) ).

fof(f796,plain,
    ( segmentP(sK3,sK2)
    | ~ ssList(sK2)
    | ~ ssList(sK4(sK3,sK2))
    | ~ spl11_2 ),
    inference(superposition,[],[f649,f427]) ).

fof(f427,plain,
    ( sK3 = app(sK2,sK4(sK3,sK2))
    | ~ spl11_2 ),
    inference(subsumption_resolution,[],[f426,f172]) ).

fof(f172,plain,
    ssList(sK3),
    inference(cnf_transformation,[],[f145]) ).

fof(f426,plain,
    ( sK3 = app(sK2,sK4(sK3,sK2))
    | ~ ssList(sK3)
    | ~ spl11_2 ),
    inference(subsumption_resolution,[],[f419,f171]) ).

fof(f419,plain,
    ( sK3 = app(sK2,sK4(sK3,sK2))
    | ~ ssList(sK2)
    | ~ ssList(sK3)
    | ~ spl11_2 ),
    inference(resolution,[],[f197,f256]) ).

fof(f256,plain,
    ( frontsegP(sK3,sK2)
    | ~ spl11_2 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f254,plain,
    ( spl11_2
  <=> frontsegP(sK3,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).

fof(f197,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | app(X1,sK4(X0,X1)) = X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f154,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) ) )
            & ( ( app(X1,sK4(X0,X1)) = X0
                & ssList(sK4(X0,X1)) )
              | ~ frontsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f152,f153]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( app(X1,X3) = X0
          & ssList(X3) )
     => ( app(X1,sK4(X0,X1)) = X0
        & ssList(sK4(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f152,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) ) )
            & ( ? [X3] :
                  ( app(X1,X3) = X0
                  & ssList(X3) )
              | ~ frontsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f151]) ).

fof(f151,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) ) )
            & ( ? [X2] :
                  ( app(X1,X2) = X0
                  & ssList(X2) )
              | ~ frontsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f112]) ).

fof(f112,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( app(X1,X2) = X0
                & ssList(X2) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f5]) ).

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

fof(f649,plain,
    ! [X0,X1] :
      ( segmentP(app(X0,X1),X0)
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f648,f231]) ).

fof(f231,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f140,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(f648,plain,
    ! [X0,X1] :
      ( ~ ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | segmentP(app(X0,X1),X0) ),
    inference(subsumption_resolution,[],[f645,f185]) ).

fof(f185,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

fof(f645,plain,
    ! [X0,X1] :
      ( ~ ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(nil)
      | ~ ssList(X0)
      | segmentP(app(X0,X1),X0) ),
    inference(duplicate_literal_removal,[],[f640]) ).

fof(f640,plain,
    ! [X0,X1] :
      ( ~ ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(nil)
      | ~ ssList(X0)
      | segmentP(app(X0,X1),X0)
      | ~ ssList(X0) ),
    inference(superposition,[],[f242,f229]) ).

fof(f229,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f138,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(nil,X0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).

fof(f242,plain,
    ! [X2,X3,X1] :
      ( ~ ssList(app(app(X2,X1),X3))
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | segmentP(app(app(X2,X1),X3),X1) ),
    inference(equality_resolution,[],[f209]) ).

fof(f209,plain,
    ! [X2,X3,X0,X1] :
      ( segmentP(X0,X1)
      | app(app(X2,X1),X3) != X0
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f160]) ).

fof(f160,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ( app(app(sK5(X0,X1),X1),sK6(X0,X1)) = X0
                & ssList(sK6(X0,X1))
                & ssList(sK5(X0,X1)) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f157,f159,f158]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ? [X5] :
              ( app(app(X4,X1),X5) = X0
              & ssList(X5) )
          & ssList(X4) )
     => ( ? [X5] :
            ( app(app(sK5(X0,X1),X1),X5) = X0
            & ssList(X5) )
        & ssList(sK5(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( app(app(sK5(X0,X1),X1),X5) = X0
          & ssList(X5) )
     => ( app(app(sK5(X0,X1),X1),sK6(X0,X1)) = X0
        & ssList(sK6(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f157,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ? [X4] :
                  ( ? [X5] :
                      ( app(app(X4,X1),X5) = X0
                      & ssList(X5) )
                  & ssList(X4) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f156]) ).

fof(f156,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ? [X2] :
                  ( ? [X3] :
                      ( app(app(X2,X1),X3) = X0
                      & ssList(X3) )
                  & ssList(X2) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f122]) ).

fof(f122,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( app(app(X2,X1),X3) = X0
                    & ssList(X3) )
                & ssList(X2) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( app(app(X2,X1),X3) = X0
                    & ssList(X3) )
                & ssList(X2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

fof(f456,plain,
    ( ~ spl11_2
    | spl11_15 ),
    inference(avatar_contradiction_clause,[],[f455]) ).

fof(f455,plain,
    ( $false
    | ~ spl11_2
    | spl11_15 ),
    inference(subsumption_resolution,[],[f454,f172]) ).

fof(f454,plain,
    ( ~ ssList(sK3)
    | ~ spl11_2
    | spl11_15 ),
    inference(subsumption_resolution,[],[f453,f171]) ).

fof(f453,plain,
    ( ~ ssList(sK2)
    | ~ ssList(sK3)
    | ~ spl11_2
    | spl11_15 ),
    inference(subsumption_resolution,[],[f452,f256]) ).

fof(f452,plain,
    ( ~ frontsegP(sK3,sK2)
    | ~ ssList(sK2)
    | ~ ssList(sK3)
    | spl11_15 ),
    inference(resolution,[],[f437,f196]) ).

fof(f196,plain,
    ! [X0,X1] :
      ( ssList(sK4(X0,X1))
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f437,plain,
    ( ~ ssList(sK4(sK3,sK2))
    | spl11_15 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f269,plain,
    ( ~ spl11_3
    | ~ spl11_1 ),
    inference(avatar_split_clause,[],[f232,f250,f259]) ).

fof(f259,plain,
    ( spl11_3
  <=> nil = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).

fof(f250,plain,
    ( spl11_1
  <=> nil = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).

fof(f232,plain,
    ( nil != sK2
    | nil != sK3 ),
    inference(definition_unfolding,[],[f176,f174,f173]) ).

fof(f176,plain,
    ( nil != sK0
    | nil != sK1 ),
    inference(cnf_transformation,[],[f145]) ).

fof(f268,plain,
    ( spl11_3
    | spl11_4 ),
    inference(avatar_split_clause,[],[f177,f264,f259]) ).

fof(f177,plain,
    ( neq(sK2,nil)
    | nil = sK3 ),
    inference(cnf_transformation,[],[f145]) ).

fof(f267,plain,
    ( spl11_1
    | spl11_4 ),
    inference(avatar_split_clause,[],[f178,f264,f250]) ).

fof(f178,plain,
    ( neq(sK2,nil)
    | nil = sK2 ),
    inference(cnf_transformation,[],[f145]) ).

fof(f262,plain,
    ( spl11_3
    | spl11_2 ),
    inference(avatar_split_clause,[],[f179,f254,f259]) ).

fof(f179,plain,
    ( frontsegP(sK3,sK2)
    | nil = sK3 ),
    inference(cnf_transformation,[],[f145]) ).

fof(f257,plain,
    ( spl11_1
    | spl11_2 ),
    inference(avatar_split_clause,[],[f180,f254,f250]) ).

fof(f180,plain,
    ( frontsegP(sK3,sK2)
    | nil = sK2 ),
    inference(cnf_transformation,[],[f145]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC070+1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35  % Computer : n026.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 19 03:23:08 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.13/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.53/0.73  % (26852)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.53/0.73  % (26845)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.53/0.73  % (26847)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.53/0.73  % (26848)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.53/0.73  % (26849)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.53/0.73  % (26846)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.53/0.73  % (26850)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.53/0.73  % (26851)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.53/0.75  % (26848)Instruction limit reached!
% 0.53/0.75  % (26848)------------------------------
% 0.53/0.75  % (26848)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.75  % (26848)Termination reason: Unknown
% 0.53/0.75  % (26848)Termination phase: Saturation
% 0.53/0.75  
% 0.53/0.75  % (26848)Memory used [KB]: 1687
% 0.53/0.75  % (26848)Time elapsed: 0.019 s
% 0.53/0.75  % (26848)Instructions burned: 34 (million)
% 0.53/0.75  % (26848)------------------------------
% 0.53/0.75  % (26848)------------------------------
% 0.53/0.75  % (26852)Instruction limit reached!
% 0.53/0.75  % (26852)------------------------------
% 0.53/0.75  % (26852)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.75  % (26852)Termination reason: Unknown
% 0.53/0.75  % (26852)Termination phase: Saturation
% 0.53/0.75  
% 0.53/0.75  % (26852)Memory used [KB]: 1718
% 0.53/0.75  % (26852)Time elapsed: 0.020 s
% 0.53/0.75  % (26852)Instructions burned: 59 (million)
% 0.53/0.75  % (26852)------------------------------
% 0.53/0.75  % (26852)------------------------------
% 0.58/0.75  % (26849)Instruction limit reached!
% 0.58/0.75  % (26849)------------------------------
% 0.58/0.75  % (26849)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (26849)Termination reason: Unknown
% 0.58/0.75  % (26849)Termination phase: Saturation
% 0.58/0.75  
% 0.58/0.75  % (26849)Memory used [KB]: 1971
% 0.58/0.75  % (26849)Time elapsed: 0.020 s
% 0.58/0.75  % (26849)Instructions burned: 34 (million)
% 0.58/0.75  % (26849)------------------------------
% 0.58/0.75  % (26849)------------------------------
% 0.58/0.75  % (26845)Instruction limit reached!
% 0.58/0.75  % (26845)------------------------------
% 0.58/0.75  % (26845)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (26845)Termination reason: Unknown
% 0.58/0.75  % (26845)Termination phase: Saturation
% 0.58/0.75  
% 0.58/0.75  % (26845)Memory used [KB]: 1442
% 0.58/0.75  % (26845)Time elapsed: 0.021 s
% 0.58/0.75  % (26845)Instructions burned: 34 (million)
% 0.58/0.75  % (26845)------------------------------
% 0.58/0.75  % (26845)------------------------------
% 0.58/0.75  % (26847)First to succeed.
% 0.58/0.75  % (26856)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.58/0.75  % (26850)Instruction limit reached!
% 0.58/0.75  % (26850)------------------------------
% 0.58/0.75  % (26850)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (26850)Termination reason: Unknown
% 0.58/0.75  % (26850)Termination phase: Saturation
% 0.58/0.75  
% 0.58/0.75  % (26850)Memory used [KB]: 1434
% 0.58/0.75  % (26850)Time elapsed: 0.023 s
% 0.58/0.75  % (26850)Instructions burned: 46 (million)
% 0.58/0.75  % (26850)------------------------------
% 0.58/0.75  % (26850)------------------------------
% 0.58/0.75  % (26847)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26844"
% 0.58/0.75  % (26857)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2996ds/50Mi)
% 0.58/0.76  % (26847)Refutation found. Thanks to Tanya!
% 0.58/0.76  % SZS status Theorem for theBenchmark
% 0.58/0.76  % SZS output start Proof for theBenchmark
% See solution above
% 0.58/0.76  % (26847)------------------------------
% 0.58/0.76  % (26847)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (26847)Termination reason: Refutation
% 0.58/0.76  
% 0.58/0.76  % (26847)Memory used [KB]: 1430
% 0.58/0.76  % (26847)Time elapsed: 0.023 s
% 0.58/0.76  % (26847)Instructions burned: 34 (million)
% 0.58/0.76  % (26844)Success in time 0.394 s
% 0.58/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------