TSTP Solution File: SWC010+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC010+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_sat --cores 0 -t %d %s

% Computer : n029.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 18:41:11 EDT 2022

% Result   : Theorem 3.85s 1.07s
% Output   : Refutation 3.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   38
% Syntax   : Number of formulae    :  140 (  49 unt;   0 def)
%            Number of atoms       :  424 (  91 equ)
%            Maximal formula atoms :   23 (   3 avg)
%            Number of connectives :  458 ( 174   ~; 170   |;  60   &)
%                                         (  28 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   40 (  38 usr;  25 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  10 con; 0-2 aty)
%            Number of variables   :   98 (  70   !;  28   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f618,plain,
    $false,
    inference(avatar_smt_refutation,[],[f486,f491,f496,f501,f506,f510,f515,f520,f521,f526,f531,f532,f537,f538,f543,f548,f553,f554,f560,f564,f569,f574,f575,f577,f582,f586,f588,f589,f594,f600,f601,f602,f607,f612,f617]) ).

fof(f617,plain,
    ( ~ spl54_10
    | ~ spl54_13
    | ~ spl54_19
    | ~ spl54_14
    | ~ spl54_17
    | ~ spl54_18 ),
    inference(avatar_split_clause,[],[f616,f566,f562,f545,f571,f540,f523]) ).

fof(f523,plain,
    ( spl54_10
  <=> ssList(sK22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_10])]) ).

fof(f540,plain,
    ( spl54_13
  <=> ssItem(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_13])]) ).

fof(f571,plain,
    ( spl54_19
  <=> ssList(sK23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_19])]) ).

fof(f545,plain,
    ( spl54_14
  <=> app(app(sK22,cons(sK21,nil)),sK23) = sK18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_14])]) ).

fof(f562,plain,
    ( spl54_17
  <=> ! [X9,X8,X10] :
        ( ~ ssItem(X8)
        | app(X9,X10) != sK19
        | ~ ssList(X9)
        | sK18 != app(app(X9,cons(X8,nil)),X10)
        | ~ ssList(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_17])]) ).

fof(f566,plain,
    ( spl54_18
  <=> app(sK22,sK23) = sK19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_18])]) ).

fof(f616,plain,
    ( ~ ssList(sK23)
    | ~ ssItem(sK21)
    | ~ ssList(sK22)
    | ~ spl54_14
    | ~ spl54_17
    | ~ spl54_18 ),
    inference(trivial_inequality_removal,[],[f615]) ).

fof(f615,plain,
    ( ~ ssList(sK22)
    | sK19 != sK19
    | ~ ssItem(sK21)
    | ~ ssList(sK23)
    | ~ spl54_14
    | ~ spl54_17
    | ~ spl54_18 ),
    inference(forward_demodulation,[],[f614,f568]) ).

fof(f568,plain,
    ( app(sK22,sK23) = sK19
    | ~ spl54_18 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f614,plain,
    ( ~ ssList(sK23)
    | app(sK22,sK23) != sK19
    | ~ ssItem(sK21)
    | ~ ssList(sK22)
    | ~ spl54_14
    | ~ spl54_17 ),
    inference(trivial_inequality_removal,[],[f613]) ).

fof(f613,plain,
    ( app(sK22,sK23) != sK19
    | ~ ssList(sK22)
    | ~ ssList(sK23)
    | sK18 != sK18
    | ~ ssItem(sK21)
    | ~ spl54_14
    | ~ spl54_17 ),
    inference(superposition,[],[f563,f547]) ).

fof(f547,plain,
    ( app(app(sK22,cons(sK21,nil)),sK23) = sK18
    | ~ spl54_14 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f563,plain,
    ( ! [X10,X8,X9] :
        ( sK18 != app(app(X9,cons(X8,nil)),X10)
        | ~ ssItem(X8)
        | app(X9,X10) != sK19
        | ~ ssList(X9)
        | ~ ssList(X10) )
    | ~ spl54_17 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f612,plain,
    spl54_24,
    inference(avatar_split_clause,[],[f315,f609]) ).

fof(f609,plain,
    ( spl54_24
  <=> strictorderedP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_24])]) ).

fof(f315,plain,
    strictorderedP(nil),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,axiom,
    strictorderedP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax69) ).

fof(f607,plain,
    spl54_23,
    inference(avatar_split_clause,[],[f369,f604]) ).

fof(f604,plain,
    ( spl54_23
  <=> strictorderP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_23])]) ).

fof(f369,plain,
    strictorderP(nil),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,axiom,
    strictorderP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax64) ).

fof(f602,plain,
    ( ~ spl54_1
    | spl54_2 ),
    inference(avatar_split_clause,[],[f446,f484,f480]) ).

fof(f480,plain,
    ( spl54_1
  <=> neq(sK18,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_1])]) ).

fof(f484,plain,
    ( spl54_2
  <=> ! [X7] :
        ( ~ memberP(sK18,X7)
        | sK21 = X7
        | ~ ssItem(X7)
        | ~ geq(X7,sK21) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_2])]) ).

fof(f446,plain,
    ! [X7] :
      ( sK21 = X7
      | ~ geq(X7,sK21)
      | ~ ssItem(X7)
      | ~ memberP(sK18,X7)
      | ~ neq(sK18,nil) ),
    inference(definition_unfolding,[],[f324,f340,f340]) ).

fof(f340,plain,
    sK20 = sK18,
    inference(cnf_transformation,[],[f162]) ).

fof(f162,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ? [X3] :
                  ( ssList(X3)
                  & ( ( neq(X1,nil)
                      & ~ neq(X3,nil) )
                    | ( ! [X8] :
                          ( ~ ssItem(X8)
                          | ! [X9] :
                              ( ~ ssList(X9)
                              | ! [X10] :
                                  ( ~ ssList(X10)
                                  | app(X9,X10) != X0
                                  | app(app(X9,cons(X8,nil)),X10) != X1 ) ) )
                      & ? [X4] :
                          ( ssItem(X4)
                          & ? [X5] :
                              ( ssList(X5)
                              & ? [X6] :
                                  ( ssList(X6)
                                  & app(app(X5,cons(X4,nil)),X6) = X3
                                  & app(X5,X6) = X2
                                  & ! [X7] :
                                      ( ~ memberP(X3,X7)
                                      | X4 = X7
                                      | ~ ssItem(X7)
                                      | ~ geq(X7,X4) ) ) ) )
                      & neq(X1,nil) ) )
                  & X0 = X2
                  & X1 = X3 )
              & ssList(X2) ) ) ),
    inference(flattening,[],[f161]) ).

fof(f161,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( neq(X1,nil)
                      & ~ neq(X3,nil) )
                    | ( ? [X4] :
                          ( ? [X5] :
                              ( ? [X6] :
                                  ( app(app(X5,cons(X4,nil)),X6) = X3
                                  & ! [X7] :
                                      ( ~ memberP(X3,X7)
                                      | X4 = X7
                                      | ~ ssItem(X7)
                                      | ~ geq(X7,X4) )
                                  & app(X5,X6) = X2
                                  & ssList(X6) )
                              & ssList(X5) )
                          & ssItem(X4) )
                      & neq(X1,nil)
                      & ! [X8] :
                          ( ~ ssItem(X8)
                          | ! [X9] :
                              ( ~ ssList(X9)
                              | ! [X10] :
                                  ( ~ ssList(X10)
                                  | app(X9,X10) != X0
                                  | app(app(X9,cons(X8,nil)),X10) != X1 ) ) ) ) )
                  & X1 = X3
                  & X0 = X2
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f98,plain,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( ( neq(X3,nil)
                          | ~ neq(X1,nil) )
                        & ( ! [X4] :
                              ( ssItem(X4)
                             => ! [X5] :
                                  ( ssList(X5)
                                 => ! [X6] :
                                      ( ssList(X6)
                                     => ( app(app(X5,cons(X4,nil)),X6) != X3
                                        | ? [X7] :
                                            ( geq(X7,X4)
                                            & X4 != X7
                                            & ssItem(X7)
                                            & memberP(X3,X7) )
                                        | app(X5,X6) != X2 ) ) ) )
                          | ~ neq(X1,nil)
                          | ? [X8] :
                              ( ssItem(X8)
                              & ? [X9] :
                                  ( ssList(X9)
                                  & ? [X10] :
                                      ( app(X9,X10) = X0
                                      & app(app(X9,cons(X8,nil)),X10) = X1
                                      & ssList(X10) ) ) ) ) )
                      | X1 != X3
                      | X0 != X2 ) ) ) ) ),
    inference(rectify,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( X0 != X2
                      | ( ( ~ neq(X1,nil)
                          | ! [X7] :
                              ( ssItem(X7)
                             => ! [X8] :
                                  ( ssList(X8)
                                 => ! [X9] :
                                      ( ssList(X9)
                                     => ( app(X8,X9) != X2
                                        | ? [X10] :
                                            ( X7 != X10
                                            & geq(X10,X7)
                                            & memberP(X3,X10)
                                            & ssItem(X10) )
                                        | app(app(X8,cons(X7,nil)),X9) != X3 ) ) ) )
                          | ? [X4] :
                              ( ssItem(X4)
                              & ? [X5] :
                                  ( ssList(X5)
                                  & ? [X6] :
                                      ( app(app(X5,cons(X4,nil)),X6) = X1
                                      & app(X5,X6) = X0
                                      & ssList(X6) ) ) ) )
                        & ( neq(X3,nil)
                          | ~ neq(X1,nil) ) )
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( X0 != X2
                    | ( ( ~ neq(X1,nil)
                        | ! [X7] :
                            ( ssItem(X7)
                           => ! [X8] :
                                ( ssList(X8)
                               => ! [X9] :
                                    ( ssList(X9)
                                   => ( app(X8,X9) != X2
                                      | ? [X10] :
                                          ( X7 != X10
                                          & geq(X10,X7)
                                          & memberP(X3,X10)
                                          & ssItem(X10) )
                                      | app(app(X8,cons(X7,nil)),X9) != X3 ) ) ) )
                        | ? [X4] :
                            ( ssItem(X4)
                            & ? [X5] :
                                ( ssList(X5)
                                & ? [X6] :
                                    ( app(app(X5,cons(X4,nil)),X6) = X1
                                    & app(X5,X6) = X0
                                    & ssList(X6) ) ) ) )
                      & ( neq(X3,nil)
                        | ~ neq(X1,nil) ) )
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f324,plain,
    ! [X7] :
      ( ~ geq(X7,sK21)
      | ~ ssItem(X7)
      | sK21 = X7
      | ~ memberP(sK20,X7)
      | ~ neq(sK20,nil) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f601,plain,
    ( ~ spl54_1
    | spl54_18 ),
    inference(avatar_split_clause,[],[f441,f566,f480]) ).

fof(f441,plain,
    ( app(sK22,sK23) = sK19
    | ~ neq(sK18,nil) ),
    inference(definition_unfolding,[],[f331,f340]) ).

fof(f331,plain,
    ( app(sK22,sK23) = sK19
    | ~ neq(sK20,nil) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f600,plain,
    spl54_22,
    inference(avatar_split_clause,[],[f400,f597]) ).

fof(f597,plain,
    ( spl54_22
  <=> totalorderP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_22])]) ).

fof(f400,plain,
    totalorderP(nil),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,axiom,
    totalorderP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax62) ).

fof(f594,plain,
    ~ spl54_21,
    inference(avatar_split_clause,[],[f298,f591]) ).

fof(f591,plain,
    ( spl54_21
  <=> sK13 = sK14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_21])]) ).

fof(f298,plain,
    sK13 != sK14,
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ? [X0] :
      ( ssItem(X0)
      & ? [X1] :
          ( X0 != X1
          & ssItem(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

fof(f589,plain,
    ( spl54_13
    | spl54_1 ),
    inference(avatar_split_clause,[],[f336,f480,f540]) ).

fof(f336,plain,
    ( neq(sK18,nil)
    | ssItem(sK21) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f588,plain,
    ( spl54_19
    | spl54_1 ),
    inference(avatar_split_clause,[],[f330,f480,f571]) ).

fof(f330,plain,
    ( neq(sK18,nil)
    | ssList(sK23) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f586,plain,
    spl54_16,
    inference(avatar_split_clause,[],[f344,f557]) ).

fof(f557,plain,
    ( spl54_16
  <=> ssList(sK18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_16])]) ).

fof(f344,plain,
    ssList(sK18),
    inference(cnf_transformation,[],[f162]) ).

fof(f582,plain,
    spl54_20,
    inference(avatar_split_clause,[],[f297,f579]) ).

fof(f579,plain,
    ( spl54_20
  <=> ssItem(sK14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_20])]) ).

fof(f297,plain,
    ssItem(sK14),
    inference(cnf_transformation,[],[f2]) ).

fof(f577,plain,
    ( spl54_1
    | spl54_17 ),
    inference(avatar_split_clause,[],[f444,f562,f480]) ).

fof(f444,plain,
    ! [X10,X8,X9] :
      ( ~ ssList(X9)
      | neq(sK18,nil)
      | ~ ssItem(X8)
      | app(X9,X10) != sK19
      | sK18 != app(app(X9,cons(X8,nil)),X10)
      | ~ ssList(X10) ),
    inference(definition_unfolding,[],[f326,f341]) ).

fof(f341,plain,
    sK17 = sK19,
    inference(cnf_transformation,[],[f162]) ).

fof(f326,plain,
    ! [X10,X8,X9] :
      ( sK18 != app(app(X9,cons(X8,nil)),X10)
      | app(X9,X10) != sK17
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssItem(X8)
      | neq(sK18,nil) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f575,plain,
    spl54_11,
    inference(avatar_split_clause,[],[f343,f528]) ).

fof(f528,plain,
    ( spl54_11
  <=> ssList(sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_11])]) ).

fof(f343,plain,
    ssList(sK19),
    inference(cnf_transformation,[],[f162]) ).

fof(f574,plain,
    ( spl54_19
    | ~ spl54_1 ),
    inference(avatar_split_clause,[],[f439,f480,f571]) ).

fof(f439,plain,
    ( ~ neq(sK18,nil)
    | ssList(sK23) ),
    inference(definition_unfolding,[],[f333,f340]) ).

fof(f333,plain,
    ( ssList(sK23)
    | ~ neq(sK20,nil) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f569,plain,
    ( spl54_1
    | spl54_18 ),
    inference(avatar_split_clause,[],[f328,f566,f480]) ).

fof(f328,plain,
    ( app(sK22,sK23) = sK19
    | neq(sK18,nil) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f564,plain,
    ( ~ spl54_1
    | spl54_17 ),
    inference(avatar_split_clause,[],[f443,f562,f480]) ).

fof(f443,plain,
    ! [X10,X8,X9] :
      ( ~ ssItem(X8)
      | ~ ssList(X10)
      | ~ neq(sK18,nil)
      | sK18 != app(app(X9,cons(X8,nil)),X10)
      | ~ ssList(X9)
      | app(X9,X10) != sK19 ),
    inference(definition_unfolding,[],[f327,f341,f340]) ).

fof(f327,plain,
    ! [X10,X8,X9] :
      ( sK18 != app(app(X9,cons(X8,nil)),X10)
      | app(X9,X10) != sK17
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssItem(X8)
      | ~ neq(sK20,nil) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f560,plain,
    spl54_16,
    inference(avatar_split_clause,[],[f435,f557]) ).

fof(f435,plain,
    ssList(sK18),
    inference(definition_unfolding,[],[f342,f340]) ).

fof(f342,plain,
    ssList(sK20),
    inference(cnf_transformation,[],[f162]) ).

fof(f554,plain,
    ( spl54_14
    | ~ spl54_1 ),
    inference(avatar_split_clause,[],[f440,f480,f545]) ).

fof(f440,plain,
    ( ~ neq(sK18,nil)
    | app(app(sK22,cons(sK21,nil)),sK23) = sK18 ),
    inference(definition_unfolding,[],[f332,f340,f340]) ).

fof(f332,plain,
    ( app(app(sK22,cons(sK21,nil)),sK23) = sK20
    | ~ neq(sK20,nil) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f553,plain,
    ( ~ spl54_3
    | spl54_15 ),
    inference(avatar_split_clause,[],[f473,f550,f488]) ).

fof(f488,plain,
    ( spl54_3
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_3])]) ).

fof(f550,plain,
    ( spl54_15
  <=> nil = app(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_15])]) ).

fof(f473,plain,
    ( nil = app(nil,nil)
    | ~ ssList(nil) ),
    inference(duplicate_literal_removal,[],[f462]) ).

fof(f462,plain,
    ( ~ ssList(nil)
    | nil = app(nil,nil)
    | ~ ssList(nil) ),
    inference(equality_resolution,[],[f461]) ).

fof(f461,plain,
    ! [X1] :
      ( ~ ssList(nil)
      | ~ ssList(X1)
      | nil = app(nil,X1)
      | nil != X1 ),
    inference(equality_resolution,[],[f362]) ).

fof(f362,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | nil = app(X0,X1)
      | nil != X0
      | nil != X1 ),
    inference(cnf_transformation,[],[f167]) ).

fof(f167,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( nil = X1
              & nil = X0 )
          <=> nil = app(X0,X1) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f83]) ).

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

fof(f548,plain,
    ( spl54_14
    | spl54_1 ),
    inference(avatar_split_clause,[],[f442,f480,f545]) ).

fof(f442,plain,
    ( neq(sK18,nil)
    | app(app(sK22,cons(sK21,nil)),sK23) = sK18 ),
    inference(definition_unfolding,[],[f329,f340]) ).

fof(f329,plain,
    ( app(app(sK22,cons(sK21,nil)),sK23) = sK20
    | neq(sK18,nil) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f543,plain,
    ( spl54_13
    | ~ spl54_1 ),
    inference(avatar_split_clause,[],[f437,f480,f540]) ).

fof(f437,plain,
    ( ~ neq(sK18,nil)
    | ssItem(sK21) ),
    inference(definition_unfolding,[],[f337,f340]) ).

fof(f337,plain,
    ( ssItem(sK21)
    | ~ neq(sK20,nil) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f538,plain,
    ( spl54_10
    | ~ spl54_1 ),
    inference(avatar_split_clause,[],[f438,f480,f523]) ).

fof(f438,plain,
    ( ~ neq(sK18,nil)
    | ssList(sK22) ),
    inference(definition_unfolding,[],[f334,f340]) ).

fof(f334,plain,
    ( ssList(sK22)
    | ~ neq(sK20,nil) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f537,plain,
    spl54_12,
    inference(avatar_split_clause,[],[f306,f534]) ).

fof(f534,plain,
    ( spl54_12
  <=> equalelemsP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_12])]) ).

fof(f306,plain,
    equalelemsP(nil),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,axiom,
    equalelemsP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax74) ).

fof(f532,plain,
    spl54_1,
    inference(avatar_split_clause,[],[f339,f480]) ).

fof(f339,plain,
    neq(sK18,nil),
    inference(cnf_transformation,[],[f162]) ).

fof(f531,plain,
    spl54_11,
    inference(avatar_split_clause,[],[f434,f528]) ).

fof(f434,plain,
    ssList(sK19),
    inference(definition_unfolding,[],[f345,f341]) ).

fof(f345,plain,
    ssList(sK17),
    inference(cnf_transformation,[],[f162]) ).

fof(f526,plain,
    ( spl54_1
    | spl54_10 ),
    inference(avatar_split_clause,[],[f335,f523,f480]) ).

fof(f335,plain,
    ( ssList(sK22)
    | neq(sK18,nil) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f521,plain,
    spl54_7,
    inference(avatar_split_clause,[],[f316,f508]) ).

fof(f508,plain,
    ( spl54_7
  <=> ! [X0] :
        ( strictorderedP(cons(X0,nil))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_7])]) ).

fof(f316,plain,
    ! [X0] :
      ( strictorderedP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f173]) ).

fof(f173,plain,
    ! [X0] :
      ( strictorderedP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,axiom,
    ! [X0] :
      ( ssItem(X0)
     => strictorderedP(cons(X0,nil)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax68) ).

fof(f520,plain,
    spl54_9,
    inference(avatar_split_clause,[],[f271,f517]) ).

fof(f517,plain,
    ( spl54_9
  <=> totalorderedP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_9])]) ).

fof(f271,plain,
    totalorderedP(nil),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,axiom,
    totalorderedP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax66) ).

fof(f515,plain,
    spl54_8,
    inference(avatar_split_clause,[],[f299,f512]) ).

fof(f512,plain,
    ( spl54_8
  <=> ssItem(sK13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_8])]) ).

fof(f299,plain,
    ssItem(sK13),
    inference(cnf_transformation,[],[f2]) ).

fof(f510,plain,
    ( spl54_7
    | ~ spl54_3 ),
    inference(avatar_split_clause,[],[f457,f488,f508]) ).

fof(f457,plain,
    ! [X0] :
      ( ~ ssList(nil)
      | strictorderedP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(equality_resolution,[],[f311]) ).

fof(f311,plain,
    ! [X0,X1] :
      ( strictorderedP(cons(X0,X1))
      | nil != X1
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f197]) ).

fof(f197,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( ( nil != X1
                & strictorderedP(X1)
                & lt(X0,hd(X1)) )
              | nil = X1 )
          <=> strictorderedP(cons(X0,X1)) ) ) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( ( ( nil != X1
                & strictorderedP(X1)
                & lt(X0,hd(X1)) )
              | nil = X1 )
          <=> strictorderedP(cons(X0,X1)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax70) ).

fof(f506,plain,
    ~ spl54_6,
    inference(avatar_split_clause,[],[f393,f503]) ).

fof(f503,plain,
    ( spl54_6
  <=> singletonP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_6])]) ).

fof(f393,plain,
    ~ singletonP(nil),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    ~ singletonP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).

fof(f501,plain,
    spl54_5,
    inference(avatar_split_clause,[],[f228,f498]) ).

fof(f498,plain,
    ( spl54_5
  <=> cyclefreeP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_5])]) ).

fof(f228,plain,
    cyclefreeP(nil),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,axiom,
    cyclefreeP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax60) ).

fof(f496,plain,
    spl54_4,
    inference(avatar_split_clause,[],[f251,f493]) ).

fof(f493,plain,
    ( spl54_4
  <=> duplicatefreeP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_4])]) ).

fof(f251,plain,
    duplicatefreeP(nil),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,axiom,
    duplicatefreeP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax72) ).

fof(f491,plain,
    spl54_3,
    inference(avatar_split_clause,[],[f320,f488]) ).

fof(f320,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

fof(f486,plain,
    ( spl54_1
    | spl54_2 ),
    inference(avatar_split_clause,[],[f445,f484,f480]) ).

fof(f445,plain,
    ! [X7] :
      ( ~ memberP(sK18,X7)
      | ~ geq(X7,sK21)
      | ~ ssItem(X7)
      | neq(sK18,nil)
      | sK21 = X7 ),
    inference(definition_unfolding,[],[f325,f340]) ).

fof(f325,plain,
    ! [X7] :
      ( ~ geq(X7,sK21)
      | ~ ssItem(X7)
      | sK21 = X7
      | ~ memberP(sK20,X7)
      | neq(sK18,nil) ),
    inference(cnf_transformation,[],[f162]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC010+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_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 18:05:57 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.48  % (9855)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.48  % (9847)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (9852)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.26/0.52  TRYING [1]
% 1.26/0.52  % (9870)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.26/0.52  TRYING [2]
% 1.26/0.52  % (9864)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.26/0.52  % (9853)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.26/0.52  % (9843)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.26/0.52  % (9845)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.26/0.53  % (9841)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.26/0.53  % (9842)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.26/0.53  % (9865)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.26/0.53  % (9863)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.26/0.53  % (9844)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.42/0.53  % (9866)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.42/0.53  % (9860)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.42/0.53  % (9856)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.42/0.53  % (9869)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.42/0.54  % (9862)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.42/0.54  % (9847)Instruction limit reached!
% 1.42/0.54  % (9847)------------------------------
% 1.42/0.54  % (9847)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54  % (9847)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54  % (9847)Termination reason: Unknown
% 1.42/0.54  % (9847)Termination phase: Finite model building SAT solving
% 1.42/0.54  
% 1.42/0.54  % (9847)Memory used [KB]: 7291
% 1.42/0.54  % (9847)Time elapsed: 0.078 s
% 1.42/0.54  % (9847)Instructions burned: 51 (million)
% 1.42/0.54  % (9847)------------------------------
% 1.42/0.54  % (9847)------------------------------
% 1.42/0.54  % (9857)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.42/0.54  % (9848)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.42/0.54  % (9861)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.42/0.54  % (9849)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.42/0.54  % (9849)Instruction limit reached!
% 1.42/0.54  % (9849)------------------------------
% 1.42/0.54  % (9849)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54  % (9849)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54  % (9849)Termination reason: Unknown
% 1.42/0.54  % (9849)Termination phase: Preprocessing 2
% 1.42/0.54  
% 1.42/0.54  % (9849)Memory used [KB]: 1023
% 1.42/0.54  % (9849)Time elapsed: 0.002 s
% 1.42/0.54  % (9849)Instructions burned: 2 (million)
% 1.42/0.54  % (9849)------------------------------
% 1.42/0.54  % (9849)------------------------------
% 1.42/0.54  % (9848)Instruction limit reached!
% 1.42/0.54  % (9848)------------------------------
% 1.42/0.54  % (9848)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54  % (9848)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54  % (9848)Termination reason: Unknown
% 1.42/0.54  % (9848)Termination phase: Property scanning
% 1.42/0.54  
% 1.42/0.54  % (9848)Memory used [KB]: 1279
% 1.42/0.54  % (9848)Time elapsed: 0.005 s
% 1.42/0.54  % (9848)Instructions burned: 9 (million)
% 1.42/0.54  % (9848)------------------------------
% 1.42/0.54  % (9848)------------------------------
% 1.42/0.54  % (9868)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.42/0.54  % (9858)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.42/0.54  % (9851)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.42/0.54  % (9854)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.42/0.55  % (9850)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.42/0.55  % (9842)Refutation not found, incomplete strategy% (9842)------------------------------
% 1.42/0.55  % (9842)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56  % (9846)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.42/0.56  % (9855)Instruction limit reached!
% 1.42/0.56  % (9855)------------------------------
% 1.42/0.56  % (9855)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56  % (9855)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.56  % (9855)Termination reason: Unknown
% 1.42/0.56  % (9855)Termination phase: Saturation
% 1.42/0.56  
% 1.42/0.56  % (9855)Memory used [KB]: 7036
% 1.42/0.56  % (9855)Time elapsed: 0.066 s
% 1.42/0.56  % (9855)Instructions burned: 68 (million)
% 1.42/0.56  % (9855)------------------------------
% 1.42/0.56  % (9855)------------------------------
% 1.42/0.56  % (9859)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.42/0.56  % (9867)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.42/0.57  % (9842)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.57  % (9842)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.57  
% 1.42/0.57  % (9842)Memory used [KB]: 6012
% 1.42/0.57  % (9842)Time elapsed: 0.148 s
% 1.42/0.57  % (9842)Instructions burned: 21 (million)
% 1.42/0.57  % (9842)------------------------------
% 1.42/0.57  % (9842)------------------------------
% 1.42/0.58  TRYING [1]
% 1.42/0.58  TRYING [2]
% 1.42/0.58  % (9843)Instruction limit reached!
% 1.42/0.58  % (9843)------------------------------
% 1.42/0.58  % (9843)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.58  % (9843)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.58  % (9843)Termination reason: Unknown
% 1.42/0.58  % (9843)Termination phase: Saturation
% 1.42/0.58  
% 1.42/0.58  % (9843)Memory used [KB]: 1663
% 1.42/0.58  % (9843)Time elapsed: 0.186 s
% 1.42/0.58  % (9843)Instructions burned: 38 (million)
% 1.42/0.58  % (9843)------------------------------
% 1.42/0.58  % (9843)------------------------------
% 1.42/0.60  TRYING [1]
% 1.42/0.60  TRYING [2]
% 1.42/0.61  TRYING [3]
% 1.42/0.62  % (9844)Instruction limit reached!
% 1.42/0.62  % (9844)------------------------------
% 1.42/0.62  % (9844)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.62  % (9844)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.62  % (9844)Termination reason: Unknown
% 1.42/0.62  % (9844)Termination phase: Saturation
% 1.42/0.62  
% 1.42/0.62  % (9844)Memory used [KB]: 6652
% 1.42/0.62  % (9844)Time elapsed: 0.216 s
% 1.42/0.62  % (9844)Instructions burned: 53 (million)
% 1.42/0.62  % (9844)------------------------------
% 1.42/0.62  % (9844)------------------------------
% 1.42/0.63  % (9851)Instruction limit reached!
% 1.42/0.63  % (9851)------------------------------
% 1.42/0.63  % (9851)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.63  % (9851)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.63  % (9851)Termination reason: Unknown
% 1.42/0.63  % (9851)Termination phase: Saturation
% 1.42/0.63  
% 1.42/0.63  % (9851)Memory used [KB]: 6780
% 1.42/0.63  % (9851)Time elapsed: 0.231 s
% 1.42/0.63  % (9851)Instructions burned: 51 (million)
% 1.42/0.63  % (9851)------------------------------
% 1.42/0.63  % (9851)------------------------------
% 1.42/0.63  % (9850)Instruction limit reached!
% 1.42/0.63  % (9850)------------------------------
% 1.42/0.63  % (9850)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.63  % (9858)Instruction limit reached!
% 1.42/0.63  % (9858)------------------------------
% 1.42/0.63  % (9858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.63  % (9858)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.63  % (9858)Termination reason: Unknown
% 1.42/0.63  % (9858)Termination phase: Finite model building SAT solving
% 1.42/0.63  
% 1.42/0.63  % (9858)Memory used [KB]: 7419
% 1.42/0.63  % (9858)Time elapsed: 0.213 s
% 1.42/0.63  % (9858)Instructions burned: 61 (million)
% 1.42/0.63  % (9858)------------------------------
% 1.42/0.63  % (9858)------------------------------
% 2.07/0.63  % (9845)Instruction limit reached!
% 2.07/0.63  % (9845)------------------------------
% 2.07/0.63  % (9845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.63  % (9845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.63  % (9845)Termination reason: Unknown
% 2.07/0.63  % (9845)Termination phase: Saturation
% 2.07/0.63  
% 2.07/0.63  % (9845)Memory used [KB]: 6524
% 2.07/0.63  % (9845)Time elapsed: 0.199 s
% 2.07/0.63  % (9845)Instructions burned: 52 (million)
% 2.07/0.63  % (9845)------------------------------
% 2.07/0.63  % (9845)------------------------------
% 2.07/0.64  % (9850)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.64  % (9850)Termination reason: Unknown
% 2.07/0.64  % (9850)Termination phase: Saturation
% 2.07/0.64  
% 2.07/0.64  % (9850)Memory used [KB]: 2174
% 2.07/0.64  % (9850)Time elapsed: 0.232 s
% 2.07/0.64  % (9850)Instructions burned: 52 (million)
% 2.07/0.64  % (9850)------------------------------
% 2.07/0.64  % (9850)------------------------------
% 2.07/0.64  % (9871)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.07/0.65  % (9872)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.07/0.65  % (9846)Instruction limit reached!
% 2.07/0.65  % (9846)------------------------------
% 2.07/0.65  % (9846)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.65  % (9846)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.65  % (9846)Termination reason: Unknown
% 2.07/0.65  % (9846)Termination phase: Saturation
% 2.07/0.65  
% 2.07/0.65  % (9846)Memory used [KB]: 6396
% 2.07/0.65  % (9846)Time elapsed: 0.246 s
% 2.07/0.65  % (9846)Instructions burned: 49 (million)
% 2.07/0.65  % (9846)------------------------------
% 2.07/0.65  % (9846)------------------------------
% 2.07/0.66  % (9856)Instruction limit reached!
% 2.07/0.66  % (9856)------------------------------
% 2.07/0.66  % (9856)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.66  % (9856)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.66  % (9856)Termination reason: Unknown
% 2.07/0.66  % (9856)Termination phase: Saturation
% 2.07/0.66  
% 2.07/0.66  % (9856)Memory used [KB]: 2430
% 2.07/0.66  % (9856)Time elapsed: 0.260 s
% 2.07/0.66  % (9856)Instructions burned: 75 (million)
% 2.07/0.66  % (9856)------------------------------
% 2.07/0.66  % (9856)------------------------------
% 2.07/0.67  % (9852)Instruction limit reached!
% 2.07/0.67  % (9852)------------------------------
% 2.07/0.67  % (9852)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.67  % (9852)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.67  % (9852)Termination reason: Unknown
% 2.07/0.67  % (9852)Termination phase: Saturation
% 2.07/0.67  
% 2.07/0.67  % (9852)Memory used [KB]: 7547
% 2.07/0.67  % (9852)Time elapsed: 0.274 s
% 2.07/0.67  % (9852)Instructions burned: 100 (million)
% 2.07/0.67  % (9852)------------------------------
% 2.07/0.67  % (9852)------------------------------
% 2.07/0.67  % (9873)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/90Mi)
% 2.07/0.68  % (9874)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.43/0.70  % (9875)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.43/0.70  % (9867)Instruction limit reached!
% 2.43/0.70  % (9867)------------------------------
% 2.43/0.70  % (9867)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.70  % (9867)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.70  % (9867)Termination reason: Unknown
% 2.43/0.70  % (9867)Termination phase: Saturation
% 2.43/0.70  
% 2.43/0.70  % (9867)Memory used [KB]: 7036
% 2.43/0.70  % (9867)Time elapsed: 0.039 s
% 2.43/0.70  % (9867)Instructions burned: 69 (million)
% 2.43/0.70  % (9867)------------------------------
% 2.43/0.70  % (9867)------------------------------
% 2.43/0.71  % (9876)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.43/0.71  % (9853)Instruction limit reached!
% 2.43/0.71  % (9853)------------------------------
% 2.43/0.71  % (9853)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.72  % (9853)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.72  % (9853)Termination reason: Unknown
% 2.43/0.72  % (9853)Termination phase: Saturation
% 2.43/0.72  
% 2.43/0.72  % (9853)Memory used [KB]: 7419
% 2.43/0.72  % (9853)Time elapsed: 0.290 s
% 2.43/0.72  % (9853)Instructions burned: 101 (million)
% 2.43/0.72  % (9853)------------------------------
% 2.43/0.72  % (9853)------------------------------
% 2.43/0.72  % (9857)Instruction limit reached!
% 2.43/0.72  % (9857)------------------------------
% 2.43/0.72  % (9857)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.72  % (9857)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.72  % (9857)Termination reason: Unknown
% 2.43/0.72  % (9857)Termination phase: Saturation
% 2.43/0.72  
% 2.43/0.72  % (9857)Memory used [KB]: 6908
% 2.43/0.72  % (9857)Time elapsed: 0.303 s
% 2.43/0.72  % (9857)Instructions burned: 100 (million)
% 2.43/0.72  % (9857)------------------------------
% 2.43/0.72  % (9857)------------------------------
% 2.43/0.73  % (9860)Instruction limit reached!
% 2.43/0.73  % (9860)------------------------------
% 2.43/0.73  % (9860)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.73  % (9860)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.73  % (9860)Termination reason: Unknown
% 2.43/0.73  % (9860)Termination phase: Saturation
% 2.43/0.73  
% 2.43/0.73  % (9860)Memory used [KB]: 2814
% 2.43/0.73  % (9860)Time elapsed: 0.329 s
% 2.43/0.73  % (9860)Instructions burned: 101 (million)
% 2.43/0.73  % (9860)------------------------------
% 2.43/0.73  % (9860)------------------------------
% 2.43/0.74  % (9854)Instruction limit reached!
% 2.43/0.74  % (9854)------------------------------
% 2.43/0.74  % (9854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.74  % (9854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.74  % (9854)Termination reason: Unknown
% 2.43/0.74  % (9854)Termination phase: Saturation
% 2.43/0.74  
% 2.43/0.74  % (9854)Memory used [KB]: 7419
% 2.43/0.74  % (9854)Time elapsed: 0.336 s
% 2.43/0.74  % (9854)Instructions burned: 100 (million)
% 2.43/0.74  % (9854)------------------------------
% 2.43/0.74  % (9854)------------------------------
% 2.43/0.74  % (9877)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.43/0.75  % (9859)Instruction limit reached!
% 2.43/0.75  % (9859)------------------------------
% 2.43/0.75  % (9859)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.75  % (9859)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.75  % (9859)Termination reason: Unknown
% 2.43/0.75  % (9859)Termination phase: Saturation
% 2.43/0.75  
% 2.43/0.75  % (9859)Memory used [KB]: 7291
% 2.43/0.75  % (9859)Time elapsed: 0.338 s
% 2.43/0.75  % (9859)Instructions burned: 100 (million)
% 2.43/0.75  % (9859)------------------------------
% 2.43/0.75  % (9859)------------------------------
% 2.43/0.75  % (9879)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.43/0.76  % (9878)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.43/0.76  TRYING [4]
% 2.43/0.76  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.43/0.76  % (9880)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.75/0.77  % (9862)Instruction limit reached!
% 2.75/0.77  % (9862)------------------------------
% 2.75/0.77  % (9862)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.75/0.77  % (9862)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.75/0.77  % (9862)Termination reason: Unknown
% 2.75/0.77  % (9862)Termination phase: Saturation
% 2.75/0.77  
% 2.75/0.77  % (9862)Memory used [KB]: 7547
% 2.75/0.77  % (9862)Time elapsed: 0.345 s
% 2.75/0.77  % (9862)Instructions burned: 138 (million)
% 2.75/0.77  % (9862)------------------------------
% 2.75/0.77  % (9862)------------------------------
% 2.75/0.77  % (9881)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.75/0.78  % (9882)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.83/0.80  % (9883)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.83/0.82  % (9884)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.83/0.82  % (9885)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.91/0.84  % (9873)Instruction limit reached!
% 2.91/0.84  % (9873)------------------------------
% 2.91/0.84  % (9873)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.91/0.84  % (9861)Instruction limit reached!
% 2.91/0.84  % (9861)------------------------------
% 2.91/0.84  % (9861)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.91/0.84  % (9873)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.91/0.84  % (9873)Termination reason: Unknown
% 2.91/0.84  % (9873)Termination phase: Saturation
% 2.91/0.84  
% 2.91/0.84  % (9861)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.91/0.84  % (9861)Termination reason: Unknown
% 2.91/0.84  % (9861)Termination phase: Saturation
% 2.91/0.84  
% 2.91/0.84  % (9873)Memory used [KB]: 7675
% 2.91/0.84  % (9861)Memory used [KB]: 7036
% 2.91/0.84  % (9873)Time elapsed: 0.271 s
% 2.91/0.84  % (9861)Time elapsed: 0.428 s
% 2.91/0.84  % (9873)Instructions burned: 92 (million)
% 2.91/0.84  % (9861)Instructions burned: 178 (million)
% 2.91/0.84  % (9873)------------------------------
% 2.91/0.84  % (9873)------------------------------
% 2.91/0.84  % (9861)------------------------------
% 2.91/0.84  % (9861)------------------------------
% 2.91/0.86  % (9887)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 2.91/0.86  % (9868)Instruction limit reached!
% 2.91/0.86  % (9868)------------------------------
% 2.91/0.86  % (9868)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.91/0.86  % (9868)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.91/0.86  % (9868)Termination reason: Unknown
% 2.91/0.86  % (9868)Termination phase: Saturation
% 2.91/0.86  
% 2.91/0.86  % (9868)Memory used [KB]: 3837
% 2.91/0.86  % (9868)Time elapsed: 0.462 s
% 2.91/0.86  % (9868)Instructions burned: 179 (million)
% 2.91/0.86  % (9868)------------------------------
% 2.91/0.86  % (9868)------------------------------
% 2.91/0.87  % (9888)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.91/0.88  % (9889)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 2.91/0.89  % (9891)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 2.91/0.89  % (9878)Instruction limit reached!
% 2.91/0.89  % (9878)------------------------------
% 2.91/0.89  % (9878)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.91/0.89  % (9878)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.91/0.89  % (9878)Termination reason: Unknown
% 2.91/0.89  % (9878)Termination phase: Saturation
% 2.91/0.89  
% 2.91/0.89  % (9878)Memory used [KB]: 7036
% 2.91/0.89  % (9878)Time elapsed: 0.037 s
% 2.91/0.89  % (9878)Instructions burned: 68 (million)
% 2.91/0.89  % (9878)------------------------------
% 2.91/0.89  % (9878)------------------------------
% 2.91/0.90  % (9886)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.91/0.91  % (9890)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2134Mi)
% 3.30/0.93  % (9881)Instruction limit reached!
% 3.30/0.93  % (9881)------------------------------
% 3.30/0.93  % (9881)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.30/0.93  % (9881)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.30/0.93  % (9881)Termination reason: Unknown
% 3.30/0.93  % (9881)Termination phase: Saturation
% 3.30/0.93  
% 3.30/0.93  % (9881)Memory used [KB]: 9338
% 3.30/0.93  % (9881)Time elapsed: 0.253 s
% 3.30/0.93  % (9881)Instructions burned: 90 (million)
% 3.30/0.93  % (9881)------------------------------
% 3.30/0.93  % (9881)------------------------------
% 3.30/0.98  % (9893)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/90Mi)
% 3.30/0.98  % (9892)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.30/0.99  % (9872)Instruction limit reached!
% 3.30/0.99  % (9872)------------------------------
% 3.30/0.99  % (9872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.30/0.99  % (9872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.30/0.99  % (9872)Termination reason: Unknown
% 3.30/0.99  % (9872)Termination phase: Saturation
% 3.30/0.99  
% 3.30/0.99  % (9872)Memory used [KB]: 4605
% 3.30/0.99  % (9872)Time elapsed: 0.380 s
% 3.30/0.99  % (9872)Instructions burned: 211 (million)
% 3.30/0.99  % (9872)------------------------------
% 3.30/0.99  % (9872)------------------------------
% 3.54/1.00  % (9894)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 3.54/1.00  % (9888)Instruction limit reached!
% 3.54/1.00  % (9888)------------------------------
% 3.54/1.00  % (9888)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.54/1.00  % (9888)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.54/1.00  % (9888)Termination reason: Unknown
% 3.54/1.00  % (9888)Termination phase: Saturation
% 3.54/1.00  
% 3.54/1.00  % (9888)Memory used [KB]: 7164
% 3.54/1.00  % (9888)Time elapsed: 0.036 s
% 3.54/1.00  % (9888)Instructions burned: 69 (million)
% 3.54/1.00  % (9888)------------------------------
% 3.54/1.00  % (9888)------------------------------
% 3.54/1.03  % (9895)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.85/1.06  % (9889)First to succeed.
% 3.85/1.07  % (9889)Refutation found. Thanks to Tanya!
% 3.85/1.07  % SZS status Theorem for theBenchmark
% 3.85/1.07  % SZS output start Proof for theBenchmark
% See solution above
% 3.85/1.07  % (9889)------------------------------
% 3.85/1.07  % (9889)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.85/1.07  % (9889)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.85/1.07  % (9889)Termination reason: Refutation
% 3.85/1.07  
% 3.85/1.07  % (9889)Memory used [KB]: 1535
% 3.85/1.07  % (9889)Time elapsed: 0.286 s
% 3.85/1.07  % (9889)Instructions burned: 131 (million)
% 3.85/1.07  % (9889)------------------------------
% 3.85/1.07  % (9889)------------------------------
% 3.85/1.07  % (9840)Success in time 0.717 s
%------------------------------------------------------------------------------