TSTP Solution File: SWC109+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC109+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 18:38:51 EDT 2022

% Result   : Theorem 1.85s 0.65s
% Output   : Refutation 1.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   34
% Syntax   : Number of formulae    :  130 (   6 unt;   0 def)
%            Number of atoms       :  715 ( 200 equ)
%            Maximal formula atoms :   48 (   5 avg)
%            Number of connectives :  907 ( 322   ~; 310   |; 219   &)
%                                         (  24 <=>;  32  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   24 (  22 usr;  17 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-2 aty)
%            Number of variables   :  187 ( 115   !;  72   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2765,plain,
    $false,
    inference(avatar_sat_refutation,[],[f623,f638,f643,f648,f658,f667,f676,f687,f689,f690,f692,f697,f698,f711,f717,f811,f855,f937,f1261,f1977,f2732,f2762,f2764]) ).

fof(f2764,plain,
    ( spl54_28
    | ~ spl54_38
    | ~ spl54_12
    | ~ spl54_5 ),
    inference(avatar_split_clause,[],[f2715,f620,f655,f850,f778]) ).

fof(f778,plain,
    ( spl54_28
  <=> ssList(sK15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_28])]) ).

fof(f850,plain,
    ( spl54_38
  <=> ssList(app(sK19,sK14)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_38])]) ).

fof(f655,plain,
    ( spl54_12
  <=> ssList(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_12])]) ).

fof(f620,plain,
    ( spl54_5
  <=> sK15 = app(app(sK19,sK14),sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_5])]) ).

fof(f2715,plain,
    ( ~ ssList(sK20)
    | ~ ssList(app(sK19,sK14))
    | ssList(sK15)
    | ~ spl54_5 ),
    inference(superposition,[],[f420,f622]) ).

fof(f622,plain,
    ( sK15 = app(app(sK19,sK14),sK20)
    | ~ spl54_5 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f420,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f171,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ssList(app(X0,X1))
          | ~ ssList(X1) ) ),
    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(f2762,plain,
    ( ~ spl54_12
    | spl54_16
    | ~ spl54_10
    | ~ spl54_28
    | ~ spl54_30
    | ~ spl54_5 ),
    inference(avatar_split_clause,[],[f2705,f620,f808,f778,f645,f673,f655]) ).

fof(f673,plain,
    ( spl54_16
  <=> segmentP(sK15,sK14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_16])]) ).

fof(f645,plain,
    ( spl54_10
  <=> ssList(sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_10])]) ).

fof(f808,plain,
    ( spl54_30
  <=> ssList(sK14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_30])]) ).

fof(f2705,plain,
    ( ~ ssList(sK14)
    | ~ ssList(sK15)
    | ~ ssList(sK19)
    | segmentP(sK15,sK14)
    | ~ ssList(sK20)
    | ~ spl54_5 ),
    inference(superposition,[],[f572,f622]) ).

fof(f572,plain,
    ! [X2,X3,X1] :
      ( segmentP(app(app(X2,X1),X3),X1)
      | ~ ssList(X1)
      | ~ ssList(app(app(X2,X1),X3))
      | ~ ssList(X3)
      | ~ ssList(X2) ),
    inference(equality_resolution,[],[f374]) ).

fof(f374,plain,
    ! [X2,X3,X0,X1] :
      ( segmentP(X0,X1)
      | ~ ssList(X2)
      | app(app(X2,X1),X3) != X0
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f247]) ).

fof(f247,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) ) ) )
            & ( ( ssList(sK12(X0,X1))
                & app(app(sK12(X0,X1),X1),sK13(X0,X1)) = X0
                & ssList(sK13(X0,X1)) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f244,f246,f245]) ).

fof(f245,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ssList(X4)
          & ? [X5] :
              ( app(app(X4,X1),X5) = X0
              & ssList(X5) ) )
     => ( ssList(sK12(X0,X1))
        & ? [X5] :
            ( app(app(sK12(X0,X1),X1),X5) = X0
            & ssList(X5) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f246,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( app(app(sK12(X0,X1),X1),X5) = X0
          & ssList(X5) )
     => ( app(app(sK12(X0,X1),X1),sK13(X0,X1)) = X0
        & ssList(sK13(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f244,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) ) ) )
            & ( ? [X4] :
                  ( ssList(X4)
                  & ? [X5] :
                      ( app(app(X4,X1),X5) = X0
                      & ssList(X5) ) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f243]) ).

fof(f243,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) ) ) )
            & ( ? [X2] :
                  ( ssList(X2)
                  & ? [X3] :
                      ( app(app(X2,X1),X3) = X0
                      & ssList(X3) ) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f184]) ).

fof(f184,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( app(app(X2,X1),X3) = X0
                    & ssList(X3) ) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f7]) ).

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

fof(f2732,plain,
    ( spl54_52
    | ~ spl54_38
    | ~ spl54_7
    | ~ spl54_12
    | ~ spl54_5 ),
    inference(avatar_split_clause,[],[f2718,f620,f655,f630,f850,f1066]) ).

fof(f1066,plain,
    ( spl54_52
  <=> nil = app(sK19,sK14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_52])]) ).

fof(f630,plain,
    ( spl54_7
  <=> nil = sK15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_7])]) ).

fof(f2718,plain,
    ( ~ ssList(sK20)
    | nil != sK15
    | ~ ssList(app(sK19,sK14))
    | nil = app(sK19,sK14)
    | ~ spl54_5 ),
    inference(superposition,[],[f460,f622]) ).

fof(f460,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X0)
      | nil = X0
      | ~ ssList(X1) ),
    inference(cnf_transformation,[],[f282]) ).

fof(f282,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( ( ( nil = X0
                & nil = X1 )
              | nil != app(X0,X1) )
            & ( nil = app(X0,X1)
              | nil != X0
              | nil != X1 ) )
          | ~ ssList(X1) ) ),
    inference(flattening,[],[f281]) ).

fof(f281,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( ( ( nil = X0
                & nil = X1 )
              | nil != app(X0,X1) )
            & ( nil = app(X0,X1)
              | nil != X0
              | nil != X1 ) )
          | ~ ssList(X1) ) ),
    inference(nnf_transformation,[],[f122]) ).

fof(f122,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( ( nil = X0
              & nil = X1 )
          <=> nil = app(X0,X1) )
          | ~ ssList(X1) ) ),
    inference(ennf_transformation,[],[f83]) ).

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

fof(f1977,plain,
    ( ~ spl54_30
    | spl54_4
    | ~ spl54_10
    | ~ spl54_52 ),
    inference(avatar_split_clause,[],[f1976,f1066,f645,f615,f808]) ).

fof(f615,plain,
    ( spl54_4
  <=> nil = sK14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_4])]) ).

fof(f1976,plain,
    ( ~ ssList(sK19)
    | nil = sK14
    | ~ ssList(sK14)
    | ~ spl54_52 ),
    inference(trivial_inequality_removal,[],[f1968]) ).

fof(f1968,plain,
    ( ~ ssList(sK14)
    | nil = sK14
    | nil != nil
    | ~ ssList(sK19)
    | ~ spl54_52 ),
    inference(superposition,[],[f459,f1068]) ).

fof(f1068,plain,
    ( nil = app(sK19,sK14)
    | ~ spl54_52 ),
    inference(avatar_component_clause,[],[f1066]) ).

fof(f459,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | nil = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f282]) ).

fof(f1261,plain,
    ( ~ spl54_30
    | ~ spl54_10
    | spl54_38 ),
    inference(avatar_split_clause,[],[f1260,f850,f645,f808]) ).

fof(f1260,plain,
    ( ~ ssList(sK19)
    | ~ ssList(sK14)
    | spl54_38 ),
    inference(resolution,[],[f852,f420]) ).

fof(f852,plain,
    ( ~ ssList(app(sK19,sK14))
    | spl54_38 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f937,plain,
    ( ~ spl54_30
    | spl54_4
    | ~ spl54_1
    | spl54_15 ),
    inference(avatar_split_clause,[],[f934,f669,f603,f615,f808]) ).

fof(f603,plain,
    ( spl54_1
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_1])]) ).

fof(f669,plain,
    ( spl54_15
  <=> neq(sK14,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_15])]) ).

fof(f934,plain,
    ( ~ ssList(nil)
    | nil = sK14
    | ~ ssList(sK14)
    | spl54_15 ),
    inference(resolution,[],[f543,f671]) ).

fof(f671,plain,
    ( ~ neq(sK14,nil)
    | spl54_15 ),
    inference(avatar_component_clause,[],[f669]) ).

fof(f543,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f330]) ).

fof(f330,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( X0 != X1
              | ~ neq(X0,X1) )
            & ( neq(X0,X1)
              | X0 = X1 ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X0 != X1
          <=> neq(X0,X1) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( X0 != X1
          <=> neq(X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).

fof(f855,plain,
    ( ~ spl54_18
    | ~ spl54_4
    | ~ spl54_1
    | ~ spl54_9 ),
    inference(avatar_split_clause,[],[f854,f640,f603,f615,f684]) ).

fof(f684,plain,
    ( spl54_18
  <=> ssItem(sK18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_18])]) ).

fof(f640,plain,
    ( spl54_9
  <=> sK14 = cons(sK18,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_9])]) ).

fof(f854,plain,
    ( ~ ssList(nil)
    | nil != sK14
    | ~ ssItem(sK18)
    | ~ spl54_9 ),
    inference(superposition,[],[f474,f642]) ).

fof(f642,plain,
    ( sK14 = cons(sK18,nil)
    | ~ spl54_9 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f474,plain,
    ! [X0,X1] :
      ( nil != cons(X1,X0)
      | ~ ssList(X0)
      | ~ ssItem(X1) ),
    inference(cnf_transformation,[],[f218]) ).

fof(f218,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssItem(X1)
          | nil != cons(X1,X0) )
      | ~ 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(f811,plain,
    ( spl54_30
    | ~ spl54_18
    | ~ spl54_1
    | ~ spl54_9 ),
    inference(avatar_split_clause,[],[f806,f640,f603,f684,f808]) ).

fof(f806,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sK18)
    | ssList(sK14)
    | ~ spl54_9 ),
    inference(superposition,[],[f483,f642]) ).

fof(f483,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f138,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssItem(X1)
          | ssList(cons(X1,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(f717,plain,
    ( ~ spl54_4
    | ~ spl54_7
    | ~ spl54_8
    | spl54_15 ),
    inference(avatar_contradiction_clause,[],[f716]) ).

fof(f716,plain,
    ( $false
    | ~ spl54_4
    | ~ spl54_7
    | ~ spl54_8
    | spl54_15 ),
    inference(resolution,[],[f715,f708]) ).

fof(f708,plain,
    ( neq(nil,nil)
    | ~ spl54_7
    | ~ spl54_8 ),
    inference(forward_demodulation,[],[f636,f632]) ).

fof(f632,plain,
    ( nil = sK15
    | ~ spl54_7 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f636,plain,
    ( neq(sK15,nil)
    | ~ spl54_8 ),
    inference(avatar_component_clause,[],[f634]) ).

fof(f634,plain,
    ( spl54_8
  <=> neq(sK15,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_8])]) ).

fof(f715,plain,
    ( ~ neq(nil,nil)
    | ~ spl54_4
    | spl54_15 ),
    inference(forward_demodulation,[],[f671,f617]) ).

fof(f617,plain,
    ( nil = sK14
    | ~ spl54_4 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f711,plain,
    ( ~ spl54_19
    | ~ spl54_4
    | ~ spl54_7
    | spl54_16 ),
    inference(avatar_split_clause,[],[f710,f673,f630,f615,f694]) ).

fof(f694,plain,
    ( spl54_19
  <=> segmentP(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_19])]) ).

fof(f710,plain,
    ( ~ segmentP(nil,nil)
    | ~ spl54_4
    | ~ spl54_7
    | spl54_16 ),
    inference(forward_demodulation,[],[f709,f632]) ).

fof(f709,plain,
    ( ~ segmentP(sK15,nil)
    | ~ spl54_4
    | spl54_16 ),
    inference(forward_demodulation,[],[f675,f617]) ).

fof(f675,plain,
    ( ~ segmentP(sK15,sK14)
    | spl54_16 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f698,plain,
    spl54_1,
    inference(avatar_split_clause,[],[f376,f603]) ).

fof(f376,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

fof(f697,plain,
    ( ~ spl54_1
    | spl54_19 ),
    inference(avatar_split_clause,[],[f578,f694,f603]) ).

fof(f578,plain,
    ( segmentP(nil,nil)
    | ~ ssList(nil) ),
    inference(equality_resolution,[],[f434]) ).

fof(f434,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | segmentP(nil,X0)
      | nil != X0 ),
    inference(cnf_transformation,[],[f268]) ).

fof(f268,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ( ( nil = X0
          | ~ segmentP(nil,X0) )
        & ( segmentP(nil,X0)
          | nil != X0 ) ) ),
    inference(nnf_transformation,[],[f131]) ).

fof(f131,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ( nil = X0
      <=> segmentP(nil,X0) ) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f58,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil = X0
      <=> segmentP(nil,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax58) ).

fof(f692,plain,
    ( spl54_10
    | spl54_4 ),
    inference(avatar_split_clause,[],[f553,f615,f645]) ).

fof(f553,plain,
    ( nil = sK14
    | ssList(sK19) ),
    inference(definition_unfolding,[],[f402,f387]) ).

fof(f387,plain,
    sK16 = sK14,
    inference(cnf_transformation,[],[f257]) ).

fof(f257,plain,
    ( ssList(sK14)
    & ssList(sK15)
    & ssList(sK17)
    & ( ( nil = sK16
        & nil = sK17 )
      | ( ssList(sK19)
        & ! [X7] :
            ( ~ lt(sK18,X7)
            | ~ memberP(sK19,X7)
            | ~ ssItem(X7) )
        & sK17 = app(app(sK19,sK16),sK20)
        & ! [X8] :
            ( ~ ssItem(X8)
            | ~ memberP(sK20,X8)
            | ~ lt(X8,sK18) )
        & sK16 = cons(sK18,nil)
        & ssList(sK20)
        & ssItem(sK18) ) )
    & sK17 = sK15
    & sK16 = sK14
    & ( ( nil = sK15
        & nil != sK14 )
      | ( neq(sK15,nil)
        & ( ~ segmentP(sK15,sK14)
          | ~ neq(sK14,nil) ) ) )
    & ssList(sK16) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17,sK18,sK19,sK20])],[f117,f256,f255,f254,f253,f252,f251,f250]) ).

fof(f250,plain,
    ( ? [X0] :
        ( ssList(X0)
        & ? [X1] :
            ( ssList(X1)
            & ? [X2] :
                ( ? [X3] :
                    ( ssList(X3)
                    & ( ( nil = X2
                        & nil = X3 )
                      | ? [X4] :
                          ( ? [X5] :
                              ( ssList(X5)
                              & ? [X6] :
                                  ( ! [X7] :
                                      ( ~ lt(X4,X7)
                                      | ~ memberP(X5,X7)
                                      | ~ ssItem(X7) )
                                  & app(app(X5,X2),X6) = X3
                                  & ! [X8] :
                                      ( ~ ssItem(X8)
                                      | ~ memberP(X6,X8)
                                      | ~ lt(X8,X4) )
                                  & cons(X4,nil) = X2
                                  & ssList(X6) ) )
                          & ssItem(X4) ) )
                    & X1 = X3
                    & X0 = X2
                    & ( ( nil = X1
                        & nil != X0 )
                      | ( neq(X1,nil)
                        & ( ~ segmentP(X1,X0)
                          | ~ neq(X0,nil) ) ) ) )
                & ssList(X2) ) ) )
   => ( ssList(sK14)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ? [X3] :
                  ( ssList(X3)
                  & ( ( nil = X2
                      & nil = X3 )
                    | ? [X4] :
                        ( ? [X5] :
                            ( ssList(X5)
                            & ? [X6] :
                                ( ! [X7] :
                                    ( ~ lt(X4,X7)
                                    | ~ memberP(X5,X7)
                                    | ~ ssItem(X7) )
                                & app(app(X5,X2),X6) = X3
                                & ! [X8] :
                                    ( ~ ssItem(X8)
                                    | ~ memberP(X6,X8)
                                    | ~ lt(X8,X4) )
                                & cons(X4,nil) = X2
                                & ssList(X6) ) )
                        & ssItem(X4) ) )
                  & X1 = X3
                  & sK14 = X2
                  & ( ( nil = X1
                      & nil != sK14 )
                    | ( neq(X1,nil)
                      & ( ~ segmentP(X1,sK14)
                        | ~ neq(sK14,nil) ) ) ) )
              & ssList(X2) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f251,plain,
    ( ? [X1] :
        ( ssList(X1)
        & ? [X2] :
            ( ? [X3] :
                ( ssList(X3)
                & ( ( nil = X2
                    & nil = X3 )
                  | ? [X4] :
                      ( ? [X5] :
                          ( ssList(X5)
                          & ? [X6] :
                              ( ! [X7] :
                                  ( ~ lt(X4,X7)
                                  | ~ memberP(X5,X7)
                                  | ~ ssItem(X7) )
                              & app(app(X5,X2),X6) = X3
                              & ! [X8] :
                                  ( ~ ssItem(X8)
                                  | ~ memberP(X6,X8)
                                  | ~ lt(X8,X4) )
                              & cons(X4,nil) = X2
                              & ssList(X6) ) )
                      & ssItem(X4) ) )
                & X1 = X3
                & sK14 = X2
                & ( ( nil = X1
                    & nil != sK14 )
                  | ( neq(X1,nil)
                    & ( ~ segmentP(X1,sK14)
                      | ~ neq(sK14,nil) ) ) ) )
            & ssList(X2) ) )
   => ( ssList(sK15)
      & ? [X2] :
          ( ? [X3] :
              ( ssList(X3)
              & ( ( nil = X2
                  & nil = X3 )
                | ? [X4] :
                    ( ? [X5] :
                        ( ssList(X5)
                        & ? [X6] :
                            ( ! [X7] :
                                ( ~ lt(X4,X7)
                                | ~ memberP(X5,X7)
                                | ~ ssItem(X7) )
                            & app(app(X5,X2),X6) = X3
                            & ! [X8] :
                                ( ~ ssItem(X8)
                                | ~ memberP(X6,X8)
                                | ~ lt(X8,X4) )
                            & cons(X4,nil) = X2
                            & ssList(X6) ) )
                    & ssItem(X4) ) )
              & sK15 = X3
              & sK14 = X2
              & ( ( nil = sK15
                  & nil != sK14 )
                | ( neq(sK15,nil)
                  & ( ~ segmentP(sK15,sK14)
                    | ~ neq(sK14,nil) ) ) ) )
          & ssList(X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f252,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ssList(X3)
            & ( ( nil = X2
                & nil = X3 )
              | ? [X4] :
                  ( ? [X5] :
                      ( ssList(X5)
                      & ? [X6] :
                          ( ! [X7] :
                              ( ~ lt(X4,X7)
                              | ~ memberP(X5,X7)
                              | ~ ssItem(X7) )
                          & app(app(X5,X2),X6) = X3
                          & ! [X8] :
                              ( ~ ssItem(X8)
                              | ~ memberP(X6,X8)
                              | ~ lt(X8,X4) )
                          & cons(X4,nil) = X2
                          & ssList(X6) ) )
                  & ssItem(X4) ) )
            & sK15 = X3
            & sK14 = X2
            & ( ( nil = sK15
                & nil != sK14 )
              | ( neq(sK15,nil)
                & ( ~ segmentP(sK15,sK14)
                  | ~ neq(sK14,nil) ) ) ) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ssList(X3)
          & ( ( nil = sK16
              & nil = X3 )
            | ? [X4] :
                ( ? [X5] :
                    ( ssList(X5)
                    & ? [X6] :
                        ( ! [X7] :
                            ( ~ lt(X4,X7)
                            | ~ memberP(X5,X7)
                            | ~ ssItem(X7) )
                        & app(app(X5,sK16),X6) = X3
                        & ! [X8] :
                            ( ~ ssItem(X8)
                            | ~ memberP(X6,X8)
                            | ~ lt(X8,X4) )
                        & cons(X4,nil) = sK16
                        & ssList(X6) ) )
                & ssItem(X4) ) )
          & sK15 = X3
          & sK16 = sK14
          & ( ( nil = sK15
              & nil != sK14 )
            | ( neq(sK15,nil)
              & ( ~ segmentP(sK15,sK14)
                | ~ neq(sK14,nil) ) ) ) )
      & ssList(sK16) ) ),
    introduced(choice_axiom,[]) ).

fof(f253,plain,
    ( ? [X3] :
        ( ssList(X3)
        & ( ( nil = sK16
            & nil = X3 )
          | ? [X4] :
              ( ? [X5] :
                  ( ssList(X5)
                  & ? [X6] :
                      ( ! [X7] :
                          ( ~ lt(X4,X7)
                          | ~ memberP(X5,X7)
                          | ~ ssItem(X7) )
                      & app(app(X5,sK16),X6) = X3
                      & ! [X8] :
                          ( ~ ssItem(X8)
                          | ~ memberP(X6,X8)
                          | ~ lt(X8,X4) )
                      & cons(X4,nil) = sK16
                      & ssList(X6) ) )
              & ssItem(X4) ) )
        & sK15 = X3
        & sK16 = sK14
        & ( ( nil = sK15
            & nil != sK14 )
          | ( neq(sK15,nil)
            & ( ~ segmentP(sK15,sK14)
              | ~ neq(sK14,nil) ) ) ) )
   => ( ssList(sK17)
      & ( ( nil = sK16
          & nil = sK17 )
        | ? [X4] :
            ( ? [X5] :
                ( ssList(X5)
                & ? [X6] :
                    ( ! [X7] :
                        ( ~ lt(X4,X7)
                        | ~ memberP(X5,X7)
                        | ~ ssItem(X7) )
                    & sK17 = app(app(X5,sK16),X6)
                    & ! [X8] :
                        ( ~ ssItem(X8)
                        | ~ memberP(X6,X8)
                        | ~ lt(X8,X4) )
                    & cons(X4,nil) = sK16
                    & ssList(X6) ) )
            & ssItem(X4) ) )
      & sK17 = sK15
      & sK16 = sK14
      & ( ( nil = sK15
          & nil != sK14 )
        | ( neq(sK15,nil)
          & ( ~ segmentP(sK15,sK14)
            | ~ neq(sK14,nil) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f254,plain,
    ( ? [X4] :
        ( ? [X5] :
            ( ssList(X5)
            & ? [X6] :
                ( ! [X7] :
                    ( ~ lt(X4,X7)
                    | ~ memberP(X5,X7)
                    | ~ ssItem(X7) )
                & sK17 = app(app(X5,sK16),X6)
                & ! [X8] :
                    ( ~ ssItem(X8)
                    | ~ memberP(X6,X8)
                    | ~ lt(X8,X4) )
                & cons(X4,nil) = sK16
                & ssList(X6) ) )
        & ssItem(X4) )
   => ( ? [X5] :
          ( ssList(X5)
          & ? [X6] :
              ( ! [X7] :
                  ( ~ lt(sK18,X7)
                  | ~ memberP(X5,X7)
                  | ~ ssItem(X7) )
              & sK17 = app(app(X5,sK16),X6)
              & ! [X8] :
                  ( ~ ssItem(X8)
                  | ~ memberP(X6,X8)
                  | ~ lt(X8,sK18) )
              & sK16 = cons(sK18,nil)
              & ssList(X6) ) )
      & ssItem(sK18) ) ),
    introduced(choice_axiom,[]) ).

fof(f255,plain,
    ( ? [X5] :
        ( ssList(X5)
        & ? [X6] :
            ( ! [X7] :
                ( ~ lt(sK18,X7)
                | ~ memberP(X5,X7)
                | ~ ssItem(X7) )
            & sK17 = app(app(X5,sK16),X6)
            & ! [X8] :
                ( ~ ssItem(X8)
                | ~ memberP(X6,X8)
                | ~ lt(X8,sK18) )
            & sK16 = cons(sK18,nil)
            & ssList(X6) ) )
   => ( ssList(sK19)
      & ? [X6] :
          ( ! [X7] :
              ( ~ lt(sK18,X7)
              | ~ memberP(sK19,X7)
              | ~ ssItem(X7) )
          & sK17 = app(app(sK19,sK16),X6)
          & ! [X8] :
              ( ~ ssItem(X8)
              | ~ memberP(X6,X8)
              | ~ lt(X8,sK18) )
          & sK16 = cons(sK18,nil)
          & ssList(X6) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f256,plain,
    ( ? [X6] :
        ( ! [X7] :
            ( ~ lt(sK18,X7)
            | ~ memberP(sK19,X7)
            | ~ ssItem(X7) )
        & sK17 = app(app(sK19,sK16),X6)
        & ! [X8] :
            ( ~ ssItem(X8)
            | ~ memberP(X6,X8)
            | ~ lt(X8,sK18) )
        & sK16 = cons(sK18,nil)
        & ssList(X6) )
   => ( ! [X7] :
          ( ~ lt(sK18,X7)
          | ~ memberP(sK19,X7)
          | ~ ssItem(X7) )
      & sK17 = app(app(sK19,sK16),sK20)
      & ! [X8] :
          ( ~ ssItem(X8)
          | ~ memberP(sK20,X8)
          | ~ lt(X8,sK18) )
      & sK16 = cons(sK18,nil)
      & ssList(sK20) ) ),
    introduced(choice_axiom,[]) ).

fof(f117,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ? [X3] :
                  ( ssList(X3)
                  & ( ( nil = X2
                      & nil = X3 )
                    | ? [X4] :
                        ( ? [X5] :
                            ( ssList(X5)
                            & ? [X6] :
                                ( ! [X7] :
                                    ( ~ lt(X4,X7)
                                    | ~ memberP(X5,X7)
                                    | ~ ssItem(X7) )
                                & app(app(X5,X2),X6) = X3
                                & ! [X8] :
                                    ( ~ ssItem(X8)
                                    | ~ memberP(X6,X8)
                                    | ~ lt(X8,X4) )
                                & cons(X4,nil) = X2
                                & ssList(X6) ) )
                        & ssItem(X4) ) )
                  & X1 = X3
                  & X0 = X2
                  & ( ( nil = X1
                      & nil != X0 )
                    | ( neq(X1,nil)
                      & ( ~ segmentP(X1,X0)
                        | ~ neq(X0,nil) ) ) ) )
              & ssList(X2) ) ) ),
    inference(ennf_transformation,[],[f97]) ).

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

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

fof(f402,plain,
    ( nil = sK16
    | ssList(sK19) ),
    inference(cnf_transformation,[],[f257]) ).

fof(f690,plain,
    ( spl54_4
    | spl54_18 ),
    inference(avatar_split_clause,[],[f559,f684,f615]) ).

fof(f559,plain,
    ( ssItem(sK18)
    | nil = sK14 ),
    inference(definition_unfolding,[],[f396,f387]) ).

fof(f396,plain,
    ( nil = sK16
    | ssItem(sK18) ),
    inference(cnf_transformation,[],[f257]) ).

fof(f689,plain,
    ( ~ spl54_15
    | ~ spl54_16
    | ~ spl54_4 ),
    inference(avatar_split_clause,[],[f383,f615,f673,f669]) ).

fof(f383,plain,
    ( nil != sK14
    | ~ segmentP(sK15,sK14)
    | ~ neq(sK14,nil) ),
    inference(cnf_transformation,[],[f257]) ).

fof(f687,plain,
    ( spl54_7
    | spl54_18 ),
    inference(avatar_split_clause,[],[f566,f684,f630]) ).

fof(f566,plain,
    ( ssItem(sK18)
    | nil = sK15 ),
    inference(definition_unfolding,[],[f389,f388]) ).

fof(f388,plain,
    sK17 = sK15,
    inference(cnf_transformation,[],[f257]) ).

fof(f389,plain,
    ( nil = sK17
    | ssItem(sK18) ),
    inference(cnf_transformation,[],[f257]) ).

fof(f676,plain,
    ( ~ spl54_15
    | ~ spl54_16
    | spl54_7 ),
    inference(avatar_split_clause,[],[f385,f630,f673,f669]) ).

fof(f385,plain,
    ( nil = sK15
    | ~ segmentP(sK15,sK14)
    | ~ neq(sK14,nil) ),
    inference(cnf_transformation,[],[f257]) ).

fof(f667,plain,
    ( spl54_4
    | spl54_9 ),
    inference(avatar_split_clause,[],[f557,f640,f615]) ).

fof(f557,plain,
    ( sK14 = cons(sK18,nil)
    | nil = sK14 ),
    inference(definition_unfolding,[],[f398,f387,f387]) ).

fof(f398,plain,
    ( nil = sK16
    | sK16 = cons(sK18,nil) ),
    inference(cnf_transformation,[],[f257]) ).

fof(f658,plain,
    ( spl54_4
    | spl54_12 ),
    inference(avatar_split_clause,[],[f558,f655,f615]) ).

fof(f558,plain,
    ( ssList(sK20)
    | nil = sK14 ),
    inference(definition_unfolding,[],[f397,f387]) ).

fof(f397,plain,
    ( nil = sK16
    | ssList(sK20) ),
    inference(cnf_transformation,[],[f257]) ).

fof(f648,plain,
    ( spl54_10
    | spl54_7 ),
    inference(avatar_split_clause,[],[f560,f630,f645]) ).

fof(f560,plain,
    ( nil = sK15
    | ssList(sK19) ),
    inference(definition_unfolding,[],[f395,f388]) ).

fof(f395,plain,
    ( nil = sK17
    | ssList(sK19) ),
    inference(cnf_transformation,[],[f257]) ).

fof(f643,plain,
    ( spl54_7
    | spl54_9 ),
    inference(avatar_split_clause,[],[f564,f640,f630]) ).

fof(f564,plain,
    ( sK14 = cons(sK18,nil)
    | nil = sK15 ),
    inference(definition_unfolding,[],[f391,f388,f387]) ).

fof(f391,plain,
    ( nil = sK17
    | sK16 = cons(sK18,nil) ),
    inference(cnf_transformation,[],[f257]) ).

fof(f638,plain,
    ( spl54_8
    | ~ spl54_4 ),
    inference(avatar_split_clause,[],[f384,f615,f634]) ).

fof(f384,plain,
    ( nil != sK14
    | neq(sK15,nil) ),
    inference(cnf_transformation,[],[f257]) ).

fof(f623,plain,
    ( spl54_5
    | spl54_4 ),
    inference(avatar_split_clause,[],[f555,f615,f620]) ).

fof(f555,plain,
    ( nil = sK14
    | sK15 = app(app(sK19,sK14),sK20) ),
    inference(definition_unfolding,[],[f400,f387,f388,f387]) ).

fof(f400,plain,
    ( nil = sK16
    | sK17 = app(app(sK19,sK16),sK20) ),
    inference(cnf_transformation,[],[f257]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC109+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 18:31:48 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.55  % (16096)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)
% 0.21/0.55  % (16106)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)
% 0.21/0.55  % (16099)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)
% 0.21/0.56  % (16112)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)
% 0.21/0.56  % (16104)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)
% 0.21/0.56  % (16104)Instruction limit reached!
% 0.21/0.56  % (16104)------------------------------
% 0.21/0.56  % (16104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (16104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (16104)Termination reason: Unknown
% 0.21/0.57  % (16104)Termination phase: Naming
% 0.21/0.57  
% 0.21/0.57  % (16104)Memory used [KB]: 1535
% 0.21/0.57  % (16104)Time elapsed: 0.006 s
% 0.21/0.57  % (16104)Instructions burned: 3 (million)
% 0.21/0.57  % (16104)------------------------------
% 0.21/0.57  % (16104)------------------------------
% 1.47/0.57  % (16114)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)
% 1.47/0.59  % (16090)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.85/0.60  % (16119)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)
% 1.85/0.60  % (16093)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)
% 1.85/0.61  % (16095)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)
% 1.85/0.61  % (16099)Instruction limit reached!
% 1.85/0.61  % (16099)------------------------------
% 1.85/0.61  % (16099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.61  % (16099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.61  % (16099)Termination reason: Unknown
% 1.85/0.61  % (16099)Termination phase: Saturation
% 1.85/0.61  
% 1.85/0.61  % (16099)Memory used [KB]: 6652
% 1.85/0.61  % (16099)Time elapsed: 0.165 s
% 1.85/0.61  % (16099)Instructions burned: 33 (million)
% 1.85/0.61  % (16099)------------------------------
% 1.85/0.61  % (16099)------------------------------
% 1.85/0.61  % (16109)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)
% 1.85/0.61  % (16100)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)
% 1.85/0.61  % (16102)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)
% 1.85/0.62  % (16096)Instruction limit reached!
% 1.85/0.62  % (16096)------------------------------
% 1.85/0.62  % (16096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.62  % (16096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.62  % (16096)Termination reason: Unknown
% 1.85/0.62  % (16096)Termination phase: Saturation
% 1.85/0.62  
% 1.85/0.62  % (16096)Memory used [KB]: 6524
% 1.85/0.62  % (16096)Time elapsed: 0.163 s
% 1.85/0.62  % (16096)Instructions burned: 39 (million)
% 1.85/0.62  % (16096)------------------------------
% 1.85/0.62  % (16096)------------------------------
% 1.85/0.62  % (16092)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)
% 1.85/0.62  % (16113)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)
% 1.85/0.62  % (16094)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)
% 1.85/0.62  % (16092)Instruction limit reached!
% 1.85/0.62  % (16092)------------------------------
% 1.85/0.62  % (16092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.62  % (16092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.62  % (16092)Termination reason: Unknown
% 1.85/0.62  % (16092)Termination phase: Preprocessing 3
% 1.85/0.62  
% 1.85/0.62  % (16092)Memory used [KB]: 1535
% 1.85/0.62  % (16092)Time elapsed: 0.005 s
% 1.85/0.62  % (16092)Instructions burned: 3 (million)
% 1.85/0.62  % (16092)------------------------------
% 1.85/0.62  % (16092)------------------------------
% 1.85/0.62  % (16117)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)
% 1.85/0.62  % (16108)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)
% 1.85/0.62  % (16103)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)
% 1.85/0.62  % (16108)Instruction limit reached!
% 1.85/0.62  % (16108)------------------------------
% 1.85/0.62  % (16108)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.62  % (16108)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.62  % (16108)Termination reason: Unknown
% 1.85/0.62  % (16108)Termination phase: Preprocessing 1
% 1.85/0.62  
% 1.85/0.62  % (16108)Memory used [KB]: 1407
% 1.85/0.62  % (16108)Time elapsed: 0.003 s
% 1.85/0.62  % (16108)Instructions burned: 2 (million)
% 1.85/0.62  % (16108)------------------------------
% 1.85/0.62  % (16108)------------------------------
% 1.85/0.62  % (16116)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)
% 1.85/0.62  % (16105)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)
% 1.85/0.62  % (16101)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)
% 1.85/0.62  % (16110)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)
% 1.85/0.63  % (16101)Instruction limit reached!
% 1.85/0.63  % (16101)------------------------------
% 1.85/0.63  % (16101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.63  % (16101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.63  % (16101)Termination reason: Unknown
% 1.85/0.63  % (16101)Termination phase: Saturation
% 1.85/0.63  
% 1.85/0.63  % (16101)Memory used [KB]: 6140
% 1.85/0.63  % (16101)Time elapsed: 0.007 s
% 1.85/0.63  % (16101)Instructions burned: 7 (million)
% 1.85/0.63  % (16101)------------------------------
% 1.85/0.63  % (16101)------------------------------
% 1.85/0.63  % (16111)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)
% 1.85/0.63  % (16118)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)
% 1.85/0.63  % (16097)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)
% 1.85/0.63  % (16115)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)
% 1.85/0.63  % (16118)Instruction limit reached!
% 1.85/0.63  % (16118)------------------------------
% 1.85/0.63  % (16118)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.63  % (16118)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.63  % (16118)Termination reason: Unknown
% 1.85/0.63  % (16118)Termination phase: Function definition elimination
% 1.85/0.63  
% 1.85/0.63  % (16118)Memory used [KB]: 1791
% 1.85/0.63  % (16118)Time elapsed: 0.008 s
% 1.85/0.63  % (16118)Instructions burned: 8 (million)
% 1.85/0.63  % (16118)------------------------------
% 1.85/0.63  % (16118)------------------------------
% 1.85/0.64  % (16109)Refutation not found, incomplete strategy% (16109)------------------------------
% 1.85/0.64  % (16109)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.64  % (16109)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.64  % (16109)Termination reason: Refutation not found, incomplete strategy
% 1.85/0.64  
% 1.85/0.64  % (16109)Memory used [KB]: 6268
% 1.85/0.64  % (16109)Time elapsed: 0.204 s
% 1.85/0.64  % (16109)Instructions burned: 9 (million)
% 1.85/0.64  % (16109)------------------------------
% 1.85/0.64  % (16109)------------------------------
% 1.85/0.64  % (16107)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.85/0.64  % (16095)Instruction limit reached!
% 1.85/0.64  % (16095)------------------------------
% 1.85/0.64  % (16095)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.64  % (16095)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.64  % (16095)Termination reason: Unknown
% 1.85/0.64  % (16095)Termination phase: Saturation
% 1.85/0.64  
% 1.85/0.64  % (16095)Memory used [KB]: 1791
% 1.85/0.64  % (16095)Time elapsed: 0.212 s
% 1.85/0.64  % (16095)Instructions burned: 16 (million)
% 1.85/0.64  % (16095)------------------------------
% 1.85/0.64  % (16095)------------------------------
% 1.85/0.64  % (16107)Instruction limit reached!
% 1.85/0.64  % (16107)------------------------------
% 1.85/0.64  % (16107)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.64  % (16107)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.64  % (16107)Termination reason: Unknown
% 1.85/0.64  % (16107)Termination phase: Preprocessing 3
% 1.85/0.64  
% 1.85/0.64  % (16107)Memory used [KB]: 1663
% 1.85/0.64  % (16107)Time elapsed: 0.004 s
% 1.85/0.64  % (16107)Instructions burned: 4 (million)
% 1.85/0.64  % (16107)------------------------------
% 1.85/0.64  % (16107)------------------------------
% 1.85/0.64  % (16112)First to succeed.
% 1.85/0.64  % (16094)Instruction limit reached!
% 1.85/0.64  % (16094)------------------------------
% 1.85/0.64  % (16094)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.64  % (16094)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.64  % (16094)Termination reason: Unknown
% 1.85/0.64  % (16094)Termination phase: Saturation
% 1.85/0.64  
% 1.85/0.64  % (16094)Memory used [KB]: 6268
% 1.85/0.64  % (16094)Time elapsed: 0.197 s
% 1.85/0.64  % (16094)Instructions burned: 13 (million)
% 1.85/0.64  % (16094)------------------------------
% 1.85/0.64  % (16094)------------------------------
% 1.85/0.65  % (16105)Instruction limit reached!
% 1.85/0.65  % (16105)------------------------------
% 1.85/0.65  % (16105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.65  % (16105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.65  % (16105)Termination reason: Unknown
% 1.85/0.65  % (16105)Termination phase: Function definition elimination
% 1.85/0.65  
% 1.85/0.65  % (16105)Memory used [KB]: 1791
% 1.85/0.65  % (16105)Time elapsed: 0.007 s
% 1.85/0.65  % (16105)Instructions burned: 8 (million)
% 1.85/0.65  % (16105)------------------------------
% 1.85/0.65  % (16105)------------------------------
% 1.85/0.65  % (16098)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)
% 1.85/0.65  % (16091)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)
% 1.85/0.65  % (16112)Refutation found. Thanks to Tanya!
% 1.85/0.65  % SZS status Theorem for theBenchmark
% 1.85/0.65  % SZS output start Proof for theBenchmark
% See solution above
% 1.85/0.66  % (16112)------------------------------
% 1.85/0.66  % (16112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.66  % (16112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.66  % (16112)Termination reason: Refutation
% 1.85/0.66  
% 1.85/0.66  % (16112)Memory used [KB]: 7675
% 1.85/0.66  % (16112)Time elapsed: 0.205 s
% 1.85/0.66  % (16112)Instructions burned: 54 (million)
% 1.85/0.66  % (16112)------------------------------
% 1.85/0.66  % (16112)------------------------------
% 1.85/0.66  % (16089)Success in time 0.284 s
%------------------------------------------------------------------------------