TSTP Solution File: SWC124+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC124+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 : 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 : Wed Aug 31 18:38:58 EDT 2022

% Result   : Theorem 2.64s 0.71s
% Output   : Refutation 2.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   59 (  16 unt;   0 def)
%            Number of atoms       :  419 ( 137 equ)
%            Maximal formula atoms :   42 (   7 avg)
%            Number of connectives :  555 ( 195   ~; 170   |; 162   &)
%                                         (   6 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   3 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :  154 (  99   !;  55   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1774,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1072,f1347,f1769]) ).

fof(f1769,plain,
    spl58_2,
    inference(avatar_contradiction_clause,[],[f1768]) ).

fof(f1768,plain,
    ( $false
    | spl58_2 ),
    inference(subsumption_resolution,[],[f1767,f561]) ).

fof(f561,plain,
    app(sK49,sK53) = sK50,
    inference(definition_unfolding,[],[f536,f528,f537]) ).

fof(f537,plain,
    sK52 = sK50,
    inference(cnf_transformation,[],[f336]) ).

fof(f336,plain,
    ( ssList(sK49)
    & sK52 = sK50
    & app(sK51,sK53) = sK52
    & ssList(sK53)
    & totalorderedP(sK51)
    & ! [X5] :
        ( ! [X6] :
            ( app(cons(X5,nil),X6) != sK53
            | ~ ssList(X6)
            | ! [X7] :
                ( ~ ssItem(X7)
                | ! [X8] :
                    ( ~ ssList(X8)
                    | ~ leq(X7,X5)
                    | app(X8,cons(X7,nil)) != sK51 ) ) )
        | ~ ssItem(X5) )
    & ( nil != sK51
      | nil = sK52 )
    & ( ~ segmentP(sK50,sK49)
      | ~ neq(sK49,nil) )
    & ssList(sK52)
    & neq(sK50,nil)
    & sK51 = sK49
    & ssList(sK51)
    & ssList(sK50) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK49,sK50,sK51,sK52,sK53])],[f175,f335,f334,f333,f332,f331]) ).

fof(f331,plain,
    ( ? [X0] :
        ( ssList(X0)
        & ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( X1 = X3
                    & ? [X4] :
                        ( app(X2,X4) = X3
                        & ssList(X4)
                        & totalorderedP(X2)
                        & ! [X5] :
                            ( ! [X6] :
                                ( app(cons(X5,nil),X6) != X4
                                | ~ ssList(X6)
                                | ! [X7] :
                                    ( ~ ssItem(X7)
                                    | ! [X8] :
                                        ( ~ ssList(X8)
                                        | ~ leq(X7,X5)
                                        | app(X8,cons(X7,nil)) != X2 ) ) )
                            | ~ ssItem(X5) ) )
                    & ( nil != X2
                      | nil = X3 )
                    & ( ~ segmentP(X1,X0)
                      | ~ neq(X0,nil) )
                    & ssList(X3)
                    & neq(X1,nil)
                    & X0 = X2 )
                & ssList(X2) )
            & ssList(X1) ) )
   => ( ssList(sK49)
      & ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & ? [X4] :
                      ( app(X2,X4) = X3
                      & ssList(X4)
                      & totalorderedP(X2)
                      & ! [X5] :
                          ( ! [X6] :
                              ( app(cons(X5,nil),X6) != X4
                              | ~ ssList(X6)
                              | ! [X7] :
                                  ( ~ ssItem(X7)
                                  | ! [X8] :
                                      ( ~ ssList(X8)
                                      | ~ leq(X7,X5)
                                      | app(X8,cons(X7,nil)) != X2 ) ) )
                          | ~ ssItem(X5) ) )
                  & ( nil != X2
                    | nil = X3 )
                  & ( ~ segmentP(X1,sK49)
                    | ~ neq(sK49,nil) )
                  & ssList(X3)
                  & neq(X1,nil)
                  & sK49 = X2 )
              & ssList(X2) )
          & ssList(X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f332,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( X1 = X3
                & ? [X4] :
                    ( app(X2,X4) = X3
                    & ssList(X4)
                    & totalorderedP(X2)
                    & ! [X5] :
                        ( ! [X6] :
                            ( app(cons(X5,nil),X6) != X4
                            | ~ ssList(X6)
                            | ! [X7] :
                                ( ~ ssItem(X7)
                                | ! [X8] :
                                    ( ~ ssList(X8)
                                    | ~ leq(X7,X5)
                                    | app(X8,cons(X7,nil)) != X2 ) ) )
                        | ~ ssItem(X5) ) )
                & ( nil != X2
                  | nil = X3 )
                & ( ~ segmentP(X1,sK49)
                  | ~ neq(sK49,nil) )
                & ssList(X3)
                & neq(X1,nil)
                & sK49 = X2 )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( sK50 = X3
              & ? [X4] :
                  ( app(X2,X4) = X3
                  & ssList(X4)
                  & totalorderedP(X2)
                  & ! [X5] :
                      ( ! [X6] :
                          ( app(cons(X5,nil),X6) != X4
                          | ~ ssList(X6)
                          | ! [X7] :
                              ( ~ ssItem(X7)
                              | ! [X8] :
                                  ( ~ ssList(X8)
                                  | ~ leq(X7,X5)
                                  | app(X8,cons(X7,nil)) != X2 ) ) )
                      | ~ ssItem(X5) ) )
              & ( nil != X2
                | nil = X3 )
              & ( ~ segmentP(sK50,sK49)
                | ~ neq(sK49,nil) )
              & ssList(X3)
              & neq(sK50,nil)
              & sK49 = X2 )
          & ssList(X2) )
      & ssList(sK50) ) ),
    introduced(choice_axiom,[]) ).

fof(f333,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( sK50 = X3
            & ? [X4] :
                ( app(X2,X4) = X3
                & ssList(X4)
                & totalorderedP(X2)
                & ! [X5] :
                    ( ! [X6] :
                        ( app(cons(X5,nil),X6) != X4
                        | ~ ssList(X6)
                        | ! [X7] :
                            ( ~ ssItem(X7)
                            | ! [X8] :
                                ( ~ ssList(X8)
                                | ~ leq(X7,X5)
                                | app(X8,cons(X7,nil)) != X2 ) ) )
                    | ~ ssItem(X5) ) )
            & ( nil != X2
              | nil = X3 )
            & ( ~ segmentP(sK50,sK49)
              | ~ neq(sK49,nil) )
            & ssList(X3)
            & neq(sK50,nil)
            & sK49 = X2 )
        & ssList(X2) )
   => ( ? [X3] :
          ( sK50 = X3
          & ? [X4] :
              ( app(sK51,X4) = X3
              & ssList(X4)
              & totalorderedP(sK51)
              & ! [X5] :
                  ( ! [X6] :
                      ( app(cons(X5,nil),X6) != X4
                      | ~ ssList(X6)
                      | ! [X7] :
                          ( ~ ssItem(X7)
                          | ! [X8] :
                              ( ~ ssList(X8)
                              | ~ leq(X7,X5)
                              | app(X8,cons(X7,nil)) != sK51 ) ) )
                  | ~ ssItem(X5) ) )
          & ( nil != sK51
            | nil = X3 )
          & ( ~ segmentP(sK50,sK49)
            | ~ neq(sK49,nil) )
          & ssList(X3)
          & neq(sK50,nil)
          & sK51 = sK49 )
      & ssList(sK51) ) ),
    introduced(choice_axiom,[]) ).

fof(f334,plain,
    ( ? [X3] :
        ( sK50 = X3
        & ? [X4] :
            ( app(sK51,X4) = X3
            & ssList(X4)
            & totalorderedP(sK51)
            & ! [X5] :
                ( ! [X6] :
                    ( app(cons(X5,nil),X6) != X4
                    | ~ ssList(X6)
                    | ! [X7] :
                        ( ~ ssItem(X7)
                        | ! [X8] :
                            ( ~ ssList(X8)
                            | ~ leq(X7,X5)
                            | app(X8,cons(X7,nil)) != sK51 ) ) )
                | ~ ssItem(X5) ) )
        & ( nil != sK51
          | nil = X3 )
        & ( ~ segmentP(sK50,sK49)
          | ~ neq(sK49,nil) )
        & ssList(X3)
        & neq(sK50,nil)
        & sK51 = sK49 )
   => ( sK52 = sK50
      & ? [X4] :
          ( sK52 = app(sK51,X4)
          & ssList(X4)
          & totalorderedP(sK51)
          & ! [X5] :
              ( ! [X6] :
                  ( app(cons(X5,nil),X6) != X4
                  | ~ ssList(X6)
                  | ! [X7] :
                      ( ~ ssItem(X7)
                      | ! [X8] :
                          ( ~ ssList(X8)
                          | ~ leq(X7,X5)
                          | app(X8,cons(X7,nil)) != sK51 ) ) )
              | ~ ssItem(X5) ) )
      & ( nil != sK51
        | nil = sK52 )
      & ( ~ segmentP(sK50,sK49)
        | ~ neq(sK49,nil) )
      & ssList(sK52)
      & neq(sK50,nil)
      & sK51 = sK49 ) ),
    introduced(choice_axiom,[]) ).

fof(f335,plain,
    ( ? [X4] :
        ( sK52 = app(sK51,X4)
        & ssList(X4)
        & totalorderedP(sK51)
        & ! [X5] :
            ( ! [X6] :
                ( app(cons(X5,nil),X6) != X4
                | ~ ssList(X6)
                | ! [X7] :
                    ( ~ ssItem(X7)
                    | ! [X8] :
                        ( ~ ssList(X8)
                        | ~ leq(X7,X5)
                        | app(X8,cons(X7,nil)) != sK51 ) ) )
            | ~ ssItem(X5) ) )
   => ( app(sK51,sK53) = sK52
      & ssList(sK53)
      & totalorderedP(sK51)
      & ! [X5] :
          ( ! [X6] :
              ( app(cons(X5,nil),X6) != sK53
              | ~ ssList(X6)
              | ! [X7] :
                  ( ~ ssItem(X7)
                  | ! [X8] :
                      ( ~ ssList(X8)
                      | ~ leq(X7,X5)
                      | app(X8,cons(X7,nil)) != sK51 ) ) )
          | ~ ssItem(X5) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f175,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & ? [X4] :
                      ( app(X2,X4) = X3
                      & ssList(X4)
                      & totalorderedP(X2)
                      & ! [X5] :
                          ( ! [X6] :
                              ( app(cons(X5,nil),X6) != X4
                              | ~ ssList(X6)
                              | ! [X7] :
                                  ( ~ ssItem(X7)
                                  | ! [X8] :
                                      ( ~ ssList(X8)
                                      | ~ leq(X7,X5)
                                      | app(X8,cons(X7,nil)) != X2 ) ) )
                          | ~ ssItem(X5) ) )
                  & ( nil != X2
                    | nil = X3 )
                  & ( ~ segmentP(X1,X0)
                    | ~ neq(X0,nil) )
                  & ssList(X3)
                  & neq(X1,nil)
                  & X0 = X2 )
              & ssList(X2) )
          & ssList(X1) ) ),
    inference(flattening,[],[f174]) ).

fof(f174,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ segmentP(X1,X0)
                    | ~ neq(X0,nil) )
                  & ? [X4] :
                      ( app(X2,X4) = X3
                      & totalorderedP(X2)
                      & ! [X5] :
                          ( ! [X6] :
                              ( app(cons(X5,nil),X6) != X4
                              | ~ ssList(X6)
                              | ! [X7] :
                                  ( ~ ssItem(X7)
                                  | ! [X8] :
                                      ( ~ ssList(X8)
                                      | ~ leq(X7,X5)
                                      | app(X8,cons(X7,nil)) != X2 ) ) )
                          | ~ ssItem(X5) )
                      & ssList(X4) )
                  & X0 = X2
                  & neq(X1,nil)
                  & ( nil != X2
                    | nil = X3 )
                  & 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)
                   => ( ( neq(X0,nil)
                        & segmentP(X1,X0) )
                      | ! [X4] :
                          ( ssList(X4)
                         => ( app(X2,X4) != X3
                            | ~ totalorderedP(X2)
                            | ? [X5] :
                                ( ssItem(X5)
                                & ? [X6] :
                                    ( ssList(X6)
                                    & ? [X7] :
                                        ( ssItem(X7)
                                        & ? [X8] :
                                            ( app(X8,cons(X7,nil)) = X2
                                            & ssList(X8)
                                            & leq(X7,X5) ) )
                                    & app(cons(X5,nil),X6) = X4 ) ) ) )
                      | X0 != X2
                      | ~ neq(X1,nil)
                      | ( nil != X3
                        & nil = X2 )
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

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

fof(f528,plain,
    sK51 = sK49,
    inference(cnf_transformation,[],[f336]) ).

fof(f536,plain,
    app(sK51,sK53) = sK52,
    inference(cnf_transformation,[],[f336]) ).

fof(f1767,plain,
    ( app(sK49,sK53) != sK50
    | spl58_2 ),
    inference(forward_demodulation,[],[f1751,f732]) ).

fof(f732,plain,
    app(nil,sK49) = sK49,
    inference(unit_resulting_resolution,[],[f538,f455]) ).

fof(f455,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    inference(cnf_transformation,[],[f215]) ).

fof(f215,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    inference(ennf_transformation,[],[f28]) ).

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

fof(f538,plain,
    ssList(sK49),
    inference(cnf_transformation,[],[f336]) ).

fof(f1751,plain,
    ( app(app(nil,sK49),sK53) != sK50
    | spl58_2 ),
    inference(unit_resulting_resolution,[],[f535,f413,f565,f538,f1071,f414]) ).

fof(f414,plain,
    ! [X0,X1,X4,X5] :
      ( segmentP(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X4,X1),X5) != X0
      | ~ ssList(X4)
      | ~ ssList(X5) ),
    inference(cnf_transformation,[],[f274]) ).

fof(f274,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( ( app(app(sK24(X0,X1),X1),sK25(X0,X1)) = X0
                & ssList(sK25(X0,X1))
                & ssList(sK24(X0,X1)) )
              | ~ segmentP(X0,X1) )
            & ( segmentP(X0,X1)
              | ! [X4] :
                  ( ! [X5] :
                      ( app(app(X4,X1),X5) != X0
                      | ~ ssList(X5) )
                  | ~ ssList(X4) ) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK24,sK25])],[f271,f273,f272]) ).

fof(f272,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ? [X3] :
              ( app(app(X2,X1),X3) = X0
              & ssList(X3) )
          & ssList(X2) )
     => ( ? [X3] :
            ( app(app(sK24(X0,X1),X1),X3) = X0
            & ssList(X3) )
        & ssList(sK24(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f273,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( app(app(sK24(X0,X1),X1),X3) = X0
          & ssList(X3) )
     => ( app(app(sK24(X0,X1),X1),sK25(X0,X1)) = X0
        & ssList(sK25(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f271,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( ? [X2] :
                  ( ? [X3] :
                      ( app(app(X2,X1),X3) = X0
                      & ssList(X3) )
                  & ssList(X2) )
              | ~ segmentP(X0,X1) )
            & ( segmentP(X0,X1)
              | ! [X4] :
                  ( ! [X5] :
                      ( app(app(X4,X1),X5) != X0
                      | ~ ssList(X5) )
                  | ~ ssList(X4) ) ) ) ) ),
    inference(rectify,[],[f270]) ).

fof(f270,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( ? [X2] :
                  ( ? [X3] :
                      ( app(app(X2,X1),X3) = X0
                      & ssList(X3) )
                  & ssList(X2) )
              | ~ segmentP(X0,X1) )
            & ( segmentP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) ) ) ) ),
    inference(nnf_transformation,[],[f144]) ).

fof(f144,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ? [X2] :
                ( ? [X3] :
                    ( app(app(X2,X1),X3) = X0
                    & ssList(X3) )
                & ssList(X2) )
          <=> segmentP(X0,X1) ) ) ),
    inference(ennf_transformation,[],[f7]) ).

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

fof(f1071,plain,
    ( ~ segmentP(sK50,sK49)
    | spl58_2 ),
    inference(avatar_component_clause,[],[f1069]) ).

fof(f1069,plain,
    ( spl58_2
  <=> segmentP(sK50,sK49) ),
    introduced(avatar_definition,[new_symbols(naming,[spl58_2])]) ).

fof(f565,plain,
    ssList(sK50),
    inference(definition_unfolding,[],[f530,f537]) ).

fof(f530,plain,
    ssList(sK52),
    inference(cnf_transformation,[],[f336]) ).

fof(f413,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

fof(f535,plain,
    ssList(sK53),
    inference(cnf_transformation,[],[f336]) ).

fof(f1347,plain,
    spl58_1,
    inference(avatar_contradiction_clause,[],[f1346]) ).

fof(f1346,plain,
    ( $false
    | spl58_1 ),
    inference(subsumption_resolution,[],[f1200,f1028]) ).

fof(f1028,plain,
    nil != sK50,
    inference(subsumption_resolution,[],[f1027,f565]) ).

fof(f1027,plain,
    ( ~ ssList(sK50)
    | nil != sK50 ),
    inference(subsumption_resolution,[],[f1026,f413]) ).

fof(f1026,plain,
    ( nil != sK50
    | ~ ssList(nil)
    | ~ ssList(sK50) ),
    inference(resolution,[],[f529,f509]) ).

fof(f509,plain,
    ! [X0,X1] :
      ( ~ neq(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f322]) ).

fof(f322,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f119]) ).

fof(f119,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ( neq(X0,X1)
          <=> X0 != X1 ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f15]) ).

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

fof(f529,plain,
    neq(sK50,nil),
    inference(cnf_transformation,[],[f336]) ).

fof(f1200,plain,
    ( nil = sK50
    | spl58_1 ),
    inference(trivial_inequality_removal,[],[f1080]) ).

fof(f1080,plain,
    ( nil != nil
    | nil = sK50
    | spl58_1 ),
    inference(backward_demodulation,[],[f564,f1073]) ).

fof(f1073,plain,
    ( nil = sK49
    | spl58_1 ),
    inference(unit_resulting_resolution,[],[f413,f538,f1067,f510]) ).

fof(f510,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f322]) ).

fof(f1067,plain,
    ( ~ neq(sK49,nil)
    | spl58_1 ),
    inference(avatar_component_clause,[],[f1065]) ).

fof(f1065,plain,
    ( spl58_1
  <=> neq(sK49,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl58_1])]) ).

fof(f564,plain,
    ( nil != sK49
    | nil = sK50 ),
    inference(definition_unfolding,[],[f532,f528,f537]) ).

fof(f532,plain,
    ( nil != sK51
    | nil = sK52 ),
    inference(cnf_transformation,[],[f336]) ).

fof(f1072,plain,
    ( ~ spl58_1
    | ~ spl58_2 ),
    inference(avatar_split_clause,[],[f531,f1069,f1065]) ).

fof(f531,plain,
    ( ~ segmentP(sK50,sK49)
    | ~ neq(sK49,nil) ),
    inference(cnf_transformation,[],[f336]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : SWC124+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 18:34:21 EDT 2022
% 0.18/0.33  % CPUTime    : 
% 0.18/0.49  % (26249)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)
% 0.18/0.49  % (26222)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.50  % (26237)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)
% 0.18/0.50  % (26241)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)
% 0.18/0.50  % (26233)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)
% 0.18/0.50  % (26233)Instruction limit reached!
% 0.18/0.50  % (26233)------------------------------
% 0.18/0.50  % (26233)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (26233)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (26233)Termination reason: Unknown
% 0.18/0.50  % (26233)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (26233)Memory used [KB]: 6140
% 0.18/0.50  % (26233)Time elapsed: 0.007 s
% 0.18/0.50  % (26233)Instructions burned: 7 (million)
% 0.18/0.50  % (26233)------------------------------
% 0.18/0.50  % (26233)------------------------------
% 0.18/0.51  % (26244)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)
% 0.18/0.51  % (26229)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)
% 0.18/0.51  % (26224)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)
% 0.18/0.51  % (26224)Instruction limit reached!
% 0.18/0.51  % (26224)------------------------------
% 0.18/0.51  % (26224)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (26224)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (26224)Termination reason: Unknown
% 0.18/0.51  % (26224)Termination phase: Preprocessing 3
% 0.18/0.51  
% 0.18/0.51  % (26224)Memory used [KB]: 1535
% 0.18/0.51  % (26224)Time elapsed: 0.003 s
% 0.18/0.51  % (26224)Instructions burned: 3 (million)
% 0.18/0.51  % (26224)------------------------------
% 0.18/0.51  % (26224)------------------------------
% 0.18/0.51  % (26237)Instruction limit reached!
% 0.18/0.51  % (26237)------------------------------
% 0.18/0.51  % (26237)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (26237)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (26237)Termination reason: Unknown
% 0.18/0.51  % (26237)Termination phase: Function definition elimination
% 0.18/0.51  
% 0.18/0.51  % (26237)Memory used [KB]: 1791
% 0.18/0.51  % (26237)Time elapsed: 0.006 s
% 0.18/0.51  % (26237)Instructions burned: 8 (million)
% 0.18/0.51  % (26237)------------------------------
% 0.18/0.51  % (26237)------------------------------
% 0.18/0.51  % (26226)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)
% 0.18/0.51  % (26228)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)
% 0.18/0.52  % (26241)Instruction limit reached!
% 0.18/0.52  % (26241)------------------------------
% 0.18/0.52  % (26241)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (26241)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (26241)Termination reason: Unknown
% 0.18/0.52  % (26241)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (26241)Memory used [KB]: 6268
% 0.18/0.52  % (26241)Time elapsed: 0.125 s
% 0.18/0.52  % (26241)Instructions burned: 11 (million)
% 0.18/0.52  % (26241)------------------------------
% 0.18/0.52  % (26241)------------------------------
% 0.18/0.52  % (26236)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)
% 0.18/0.52  % (26226)Instruction limit reached!
% 0.18/0.52  % (26226)------------------------------
% 0.18/0.52  % (26226)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (26226)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (26226)Termination reason: Unknown
% 0.18/0.52  % (26226)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (26226)Memory used [KB]: 6268
% 0.18/0.52  % (26226)Time elapsed: 0.127 s
% 0.18/0.52  % (26226)Instructions burned: 14 (million)
% 0.18/0.52  % (26226)------------------------------
% 0.18/0.52  % (26226)------------------------------
% 0.18/0.52  % (26236)Instruction limit reached!
% 0.18/0.52  % (26236)------------------------------
% 0.18/0.52  % (26236)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (26236)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (26236)Termination reason: Unknown
% 0.18/0.52  % (26236)Termination phase: Naming
% 0.18/0.52  
% 0.18/0.52  % (26236)Memory used [KB]: 1535
% 0.18/0.52  % (26236)Time elapsed: 0.002 s
% 0.18/0.52  % (26236)Instructions burned: 3 (million)
% 0.18/0.52  % (26236)------------------------------
% 0.18/0.52  % (26236)------------------------------
% 0.18/0.52  % (26251)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)
% 0.18/0.52  % (26248)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)
% 0.18/0.52  % (26246)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)
% 0.18/0.52  % (26227)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)
% 0.18/0.52  % (26225)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)
% 0.18/0.52  % (26223)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)
% 0.18/0.52  % (26250)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)
% 0.18/0.52  % (26239)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.53  % (26239)Instruction limit reached!
% 0.18/0.53  % (26239)------------------------------
% 0.18/0.53  % (26239)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (26239)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (26239)Termination reason: Unknown
% 0.18/0.53  % (26239)Termination phase: Preprocessing 3
% 0.18/0.53  
% 0.18/0.53  % (26239)Memory used [KB]: 1663
% 0.18/0.53  % (26239)Time elapsed: 0.003 s
% 0.18/0.53  % (26239)Instructions burned: 4 (million)
% 0.18/0.53  % (26239)------------------------------
% 0.18/0.53  % (26239)------------------------------
% 0.18/0.53  % (26249)Instruction limit reached!
% 0.18/0.53  % (26249)------------------------------
% 0.18/0.53  % (26249)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (26250)Instruction limit reached!
% 0.18/0.53  % (26250)------------------------------
% 0.18/0.53  % (26250)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (26250)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (26250)Termination reason: Unknown
% 0.18/0.53  % (26250)Termination phase: Function definition elimination
% 0.18/0.53  
% 0.18/0.53  % (26250)Memory used [KB]: 1791
% 0.18/0.53  % (26250)Time elapsed: 0.004 s
% 0.18/0.53  % (26250)Instructions burned: 8 (million)
% 0.18/0.53  % (26250)------------------------------
% 0.18/0.53  % (26250)------------------------------
% 0.18/0.53  % (26249)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (26249)Termination reason: Unknown
% 0.18/0.53  % (26249)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (26249)Memory used [KB]: 6652
% 0.18/0.53  % (26249)Time elapsed: 0.132 s
% 0.18/0.53  % (26249)Instructions burned: 25 (million)
% 0.18/0.53  % (26249)------------------------------
% 0.18/0.53  % (26249)------------------------------
% 0.18/0.53  % (26242)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)
% 0.18/0.53  % (26223)Instruction limit reached!
% 0.18/0.53  % (26223)------------------------------
% 0.18/0.53  % (26223)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (26223)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (26223)Termination reason: Unknown
% 0.18/0.53  % (26223)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (26223)Memory used [KB]: 6396
% 0.18/0.53  % (26223)Time elapsed: 0.132 s
% 0.18/0.53  % (26223)Instructions burned: 13 (million)
% 0.18/0.53  % (26223)------------------------------
% 0.18/0.53  % (26223)------------------------------
% 0.18/0.53  % (26231)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)
% 0.18/0.53  % (26243)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)
% 0.18/0.53  % (26240)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)
% 0.18/0.53  % (26234)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)
% 0.18/0.53  % (26230)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)
% 0.18/0.53  % (26240)Instruction limit reached!
% 0.18/0.53  % (26240)------------------------------
% 0.18/0.53  % (26240)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (26240)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (26240)Termination reason: Unknown
% 0.18/0.53  % (26240)Termination phase: Preprocessing 3
% 0.18/0.53  
% 0.18/0.53  % (26240)Memory used [KB]: 1535
% 0.18/0.53  % (26240)Time elapsed: 0.003 s
% 0.18/0.53  % (26240)Instructions burned: 3 (million)
% 0.18/0.53  % (26240)------------------------------
% 0.18/0.53  % (26240)------------------------------
% 0.18/0.54  % (26238)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)
% 0.18/0.54  % (26235)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)
% 0.18/0.54  % (26232)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)
% 0.18/0.54  % (26247)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)
% 0.18/0.55  % (26245)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)
% 0.18/0.55  % (26227)Instruction limit reached!
% 0.18/0.55  % (26227)------------------------------
% 0.18/0.55  % (26227)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (26227)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (26227)Termination reason: Unknown
% 0.18/0.55  % (26227)Termination phase: Saturation
% 0.18/0.55  
% 0.18/0.55  % (26227)Memory used [KB]: 1791
% 0.18/0.55  % (26227)Time elapsed: 0.138 s
% 0.18/0.55  % (26227)Instructions burned: 15 (million)
% 0.18/0.55  % (26227)------------------------------
% 0.18/0.55  % (26227)------------------------------
% 0.18/0.55  % (26234)Instruction limit reached!
% 0.18/0.55  % (26234)------------------------------
% 0.18/0.55  % (26234)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (26234)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (26234)Termination reason: Unknown
% 0.18/0.55  % (26234)Termination phase: Saturation
% 0.18/0.55  
% 0.18/0.55  % (26234)Memory used [KB]: 2046
% 0.18/0.55  % (26234)Time elapsed: 0.150 s
% 0.18/0.55  % (26234)Instructions burned: 16 (million)
% 0.18/0.55  % (26234)------------------------------
% 0.18/0.55  % (26234)------------------------------
% 0.18/0.57  % (26232)Instruction limit reached!
% 0.18/0.57  % (26232)------------------------------
% 0.18/0.57  % (26232)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (26232)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (26232)Termination reason: Unknown
% 0.18/0.57  % (26232)Termination phase: Saturation
% 0.18/0.57  
% 0.18/0.57  % (26232)Memory used [KB]: 6268
% 0.18/0.57  % (26232)Time elapsed: 0.179 s
% 0.18/0.57  % (26232)Instructions burned: 13 (million)
% 0.18/0.57  % (26232)------------------------------
% 0.18/0.57  % (26232)------------------------------
% 0.18/0.57  % (26251)Instruction limit reached!
% 0.18/0.57  % (26251)------------------------------
% 0.18/0.57  % (26251)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (26251)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (26251)Termination reason: Unknown
% 0.18/0.57  % (26251)Termination phase: Saturation
% 0.18/0.57  
% 0.18/0.57  % (26251)Memory used [KB]: 6396
% 0.18/0.57  % (26251)Time elapsed: 0.162 s
% 0.18/0.57  % (26251)Instructions burned: 25 (million)
% 0.18/0.57  % (26251)------------------------------
% 0.18/0.57  % (26251)------------------------------
% 0.18/0.57  % (26242)Instruction limit reached!
% 0.18/0.57  % (26242)------------------------------
% 0.18/0.57  % (26242)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (26242)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (26242)Termination reason: Unknown
% 0.18/0.57  % (26242)Termination phase: Saturation
% 0.18/0.57  
% 0.18/0.57  % (26242)Memory used [KB]: 6524
% 0.18/0.57  % (26242)Time elapsed: 0.161 s
% 0.18/0.57  % (26242)Instructions burned: 30 (million)
% 0.18/0.57  % (26242)------------------------------
% 0.18/0.57  % (26242)------------------------------
% 1.84/0.58  % (26229)Refutation not found, non-redundant clauses discarded% (26229)------------------------------
% 1.84/0.58  % (26229)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.58  % (26229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.58  % (26229)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.84/0.58  
% 1.84/0.58  % (26229)Memory used [KB]: 6524
% 1.84/0.58  % (26229)Time elapsed: 0.183 s
% 1.84/0.58  % (26229)Instructions burned: 38 (million)
% 1.84/0.58  % (26229)------------------------------
% 1.84/0.58  % (26229)------------------------------
% 1.84/0.59  % (26231)Instruction limit reached!
% 1.84/0.59  % (26231)------------------------------
% 1.84/0.59  % (26231)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.59  % (26231)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.59  % (26231)Termination reason: Unknown
% 1.84/0.59  % (26231)Termination phase: Saturation
% 1.84/0.59  
% 1.84/0.59  % (26231)Memory used [KB]: 6652
% 1.84/0.59  % (26231)Time elapsed: 0.200 s
% 1.84/0.59  % (26231)Instructions burned: 33 (million)
% 1.84/0.59  % (26231)------------------------------
% 1.84/0.59  % (26231)------------------------------
% 1.99/0.60  % (26228)Instruction limit reached!
% 1.99/0.60  % (26228)------------------------------
% 1.99/0.60  % (26228)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.60  % (26228)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.60  % (26228)Termination reason: Unknown
% 1.99/0.60  % (26228)Termination phase: Saturation
% 1.99/0.60  
% 1.99/0.60  % (26228)Memory used [KB]: 6524
% 1.99/0.60  % (26228)Time elapsed: 0.162 s
% 1.99/0.60  % (26228)Instructions burned: 40 (million)
% 1.99/0.60  % (26228)------------------------------
% 1.99/0.60  % (26228)------------------------------
% 1.99/0.60  % (26225)Refutation not found, non-redundant clauses discarded% (26225)------------------------------
% 1.99/0.60  % (26225)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.60  % (26225)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.60  % (26225)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.99/0.60  
% 1.99/0.60  % (26225)Memory used [KB]: 6524
% 1.99/0.60  % (26225)Time elapsed: 0.211 s
% 1.99/0.60  % (26225)Instructions burned: 47 (million)
% 1.99/0.60  % (26225)------------------------------
% 1.99/0.60  % (26225)------------------------------
% 1.99/0.62  % (26235)Instruction limit reached!
% 1.99/0.62  % (26235)------------------------------
% 1.99/0.62  % (26235)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.62  % (26235)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.62  % (26235)Termination reason: Unknown
% 1.99/0.62  % (26235)Termination phase: Saturation
% 1.99/0.62  
% 1.99/0.62  % (26235)Memory used [KB]: 7291
% 1.99/0.62  % (26235)Time elapsed: 0.211 s
% 1.99/0.62  % (26235)Instructions burned: 51 (million)
% 1.99/0.62  % (26235)------------------------------
% 1.99/0.62  % (26235)------------------------------
% 1.99/0.62  % (26255)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 1.99/0.62  % (26238)Instruction limit reached!
% 1.99/0.62  % (26238)------------------------------
% 1.99/0.62  % (26238)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.62  % (26238)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.62  % (26238)Termination reason: Unknown
% 1.99/0.62  % (26238)Termination phase: Saturation
% 1.99/0.62  
% 1.99/0.62  % (26238)Memory used [KB]: 6908
% 1.99/0.62  % (26238)Time elapsed: 0.234 s
% 1.99/0.62  % (26238)Instructions burned: 51 (million)
% 1.99/0.62  % (26238)------------------------------
% 1.99/0.62  % (26238)------------------------------
% 1.99/0.63  % (26246)Instruction limit reached!
% 1.99/0.63  % (26246)------------------------------
% 1.99/0.63  % (26246)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.63  % (26246)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.63  % (26246)Termination reason: Unknown
% 1.99/0.63  % (26246)Termination phase: Saturation
% 1.99/0.63  
% 1.99/0.63  % (26246)Memory used [KB]: 6780
% 1.99/0.63  % (26246)Time elapsed: 0.234 s
% 1.99/0.63  % (26246)Instructions burned: 50 (million)
% 1.99/0.63  % (26246)------------------------------
% 1.99/0.63  % (26246)------------------------------
% 2.25/0.63  % (26245)Instruction limit reached!
% 2.25/0.63  % (26245)------------------------------
% 2.25/0.63  % (26245)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.63  % (26245)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.63  % (26245)Termination reason: Unknown
% 2.25/0.63  % (26245)Termination phase: Saturation
% 2.25/0.63  
% 2.25/0.63  % (26245)Memory used [KB]: 2174
% 2.25/0.63  % (26245)Time elapsed: 0.210 s
% 2.25/0.63  % (26245)Instructions burned: 45 (million)
% 2.25/0.63  % (26245)------------------------------
% 2.25/0.63  % (26245)------------------------------
% 2.25/0.63  % (26230)Instruction limit reached!
% 2.25/0.63  % (26230)------------------------------
% 2.25/0.63  % (26230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.63  % (26230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.63  % (26230)Termination reason: Unknown
% 2.25/0.63  % (26230)Termination phase: Saturation
% 2.25/0.63  
% 2.25/0.63  % (26230)Memory used [KB]: 6908
% 2.25/0.63  % (26230)Time elapsed: 0.232 s
% 2.25/0.63  % (26230)Instructions burned: 49 (million)
% 2.25/0.63  % (26230)------------------------------
% 2.25/0.63  % (26230)------------------------------
% 2.27/0.64  % (26244)Instruction limit reached!
% 2.27/0.64  % (26244)------------------------------
% 2.27/0.64  % (26244)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.64  % (26244)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.64  % (26244)Termination reason: Unknown
% 2.27/0.64  % (26244)Termination phase: Saturation
% 2.27/0.64  
% 2.27/0.64  % (26244)Memory used [KB]: 8059
% 2.27/0.64  % (26244)Time elapsed: 0.212 s
% 2.27/0.64  % (26244)Instructions burned: 83 (million)
% 2.27/0.64  % (26244)------------------------------
% 2.27/0.64  % (26244)------------------------------
% 2.27/0.64  % (26259)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/42Mi)
% 2.27/0.65  % (26258)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)
% 2.27/0.65  % (26253)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)
% 2.27/0.65  % (26256)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)
% 2.27/0.66  % (26260)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/31Mi)
% 2.27/0.66  % (26257)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 2.27/0.67  % (26261)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)
% 2.27/0.67  % (26262)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)
% 2.27/0.67  % (26252)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)
% 2.27/0.67  % (26253)Instruction limit reached!
% 2.27/0.67  % (26253)------------------------------
% 2.27/0.67  % (26253)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.67  % (26253)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.67  % (26253)Termination reason: Unknown
% 2.27/0.67  % (26253)Termination phase: Saturation
% 2.27/0.67  
% 2.27/0.67  % (26253)Memory used [KB]: 10618
% 2.27/0.67  % (26253)Time elapsed: 0.006 s
% 2.27/0.67  % (26253)Instructions burned: 7 (million)
% 2.27/0.67  % (26253)------------------------------
% 2.27/0.67  % (26253)------------------------------
% 2.27/0.68  % (26254)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)
% 2.27/0.68  % (26263)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)
% 2.27/0.69  % (26260)Refutation not found, incomplete strategy% (26260)------------------------------
% 2.27/0.69  % (26260)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.69  % (26260)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.69  % (26260)Termination reason: Refutation not found, incomplete strategy
% 2.27/0.69  
% 2.27/0.69  % (26260)Memory used [KB]: 6524
% 2.27/0.69  % (26260)Time elapsed: 0.130 s
% 2.27/0.69  % (26260)Instructions burned: 15 (million)
% 2.27/0.69  % (26260)------------------------------
% 2.27/0.69  % (26260)------------------------------
% 2.27/0.69  % (26264)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)
% 2.27/0.69  % (26243)First to succeed.
% 2.27/0.70  % (26259)Instruction limit reached!
% 2.27/0.70  % (26259)------------------------------
% 2.27/0.70  % (26259)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.70  % (26259)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.70  % (26259)Termination reason: Unknown
% 2.27/0.70  % (26259)Termination phase: Saturation
% 2.27/0.70  
% 2.27/0.70  % (26259)Memory used [KB]: 7036
% 2.27/0.70  % (26259)Time elapsed: 0.080 s
% 2.27/0.70  % (26259)Instructions burned: 42 (million)
% 2.27/0.70  % (26259)------------------------------
% 2.27/0.70  % (26259)------------------------------
% 2.64/0.70  % (26265)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)
% 2.64/0.70  % (26255)Instruction limit reached!
% 2.64/0.70  % (26255)------------------------------
% 2.64/0.70  % (26255)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.64/0.70  % (26255)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.64/0.70  % (26255)Termination reason: Unknown
% 2.64/0.70  % (26255)Termination phase: Saturation
% 2.64/0.70  
% 2.64/0.70  % (26255)Memory used [KB]: 2814
% 2.64/0.70  % (26255)Time elapsed: 0.102 s
% 2.64/0.70  % (26255)Instructions burned: 69 (million)
% 2.64/0.70  % (26255)------------------------------
% 2.64/0.70  % (26255)------------------------------
% 2.64/0.70  % (26266)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)
% 2.64/0.71  % (26248)Refutation not found, non-redundant clauses discarded% (26248)------------------------------
% 2.64/0.71  % (26248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.64/0.71  % (26248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.64/0.71  % (26248)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.64/0.71  
% 2.64/0.71  % (26248)Memory used [KB]: 7164
% 2.64/0.71  % (26248)Time elapsed: 0.312 s
% 2.64/0.71  % (26248)Instructions burned: 98 (million)
% 2.64/0.71  % (26248)------------------------------
% 2.64/0.71  % (26248)------------------------------
% 2.64/0.71  % (26267)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 2.64/0.71  % (26269)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 2.64/0.71  % (26243)Refutation found. Thanks to Tanya!
% 2.64/0.71  % SZS status Theorem for theBenchmark
% 2.64/0.71  % SZS output start Proof for theBenchmark
% See solution above
% 2.64/0.71  % (26243)------------------------------
% 2.64/0.71  % (26243)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.64/0.71  % (26243)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.64/0.71  % (26243)Termination reason: Refutation
% 2.64/0.71  
% 2.64/0.71  % (26243)Memory used [KB]: 7547
% 2.64/0.71  % (26243)Time elapsed: 0.284 s
% 2.64/0.71  % (26243)Instructions burned: 93 (million)
% 2.64/0.71  % (26243)------------------------------
% 2.64/0.71  % (26243)------------------------------
% 2.64/0.71  % (26221)Success in time 0.377 s
%------------------------------------------------------------------------------