TSTP Solution File: SWC149+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC149+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 : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:39:07 EDT 2022

% Result   : Theorem 2.96s 0.91s
% Output   : Refutation 2.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  106 (  10 unt;   0 def)
%            Number of atoms       :  478 ( 124 equ)
%            Maximal formula atoms :   24 (   4 avg)
%            Number of connectives :  623 ( 251   ~; 230   |; 107   &)
%                                         (   9 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   6 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :  182 ( 137   !;  45   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1195,plain,
    $false,
    inference(avatar_sat_refutation,[],[f692,f700,f722,f845,f1176,f1194]) ).

fof(f1194,plain,
    ~ spl9_1,
    inference(avatar_contradiction_clause,[],[f1193]) ).

fof(f1193,plain,
    ( $false
    | ~ spl9_1 ),
    inference(subsumption_resolution,[],[f1191,f173]) ).

fof(f173,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

fof(f1191,plain,
    ( ~ ssList(nil)
    | ~ spl9_1 ),
    inference(resolution,[],[f1179,f190]) ).

fof(f190,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f186]) ).

fof(f186,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f171]) ).

fof(f171,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | X0 != X1
      | ~ neq(X0,X1) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) ) ) ),
    inference(nnf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    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(f1179,plain,
    ( neq(nil,nil)
    | ~ spl9_1 ),
    inference(superposition,[],[f166,f254]) ).

fof(f254,plain,
    ( nil = sK5
    | ~ spl9_1 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f252,plain,
    ( spl9_1
  <=> nil = sK5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).

fof(f166,plain,
    neq(sK5,nil),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ( ssList(sK6)
    & neq(sK5,nil)
    & sK7 = sK5
    & ! [X4] :
        ( ~ ssItem(X4)
        | ! [X5] :
            ( ! [X6] :
                ( app(app(cons(X4,nil),cons(X5,nil)),X6) != sK7
                | ~ ssList(X6) )
            | ~ ssItem(X5) ) )
    & sK4 = sK6
    & ~ singletonP(sK5)
    & ssList(sK7)
    & ssList(sK5)
    & ssList(sK4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f113,f133,f132,f131,f130]) ).

fof(f130,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( neq(X1,nil)
                    & X1 = X3
                    & ! [X4] :
                        ( ~ ssItem(X4)
                        | ! [X5] :
                            ( ! [X6] :
                                ( app(app(cons(X4,nil),cons(X5,nil)),X6) != X3
                                | ~ ssList(X6) )
                            | ~ ssItem(X5) ) )
                    & X0 = X2
                    & ~ singletonP(X1)
                    & ssList(X3) ) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( neq(X1,nil)
                  & X1 = X3
                  & ! [X4] :
                      ( ~ ssItem(X4)
                      | ! [X5] :
                          ( ! [X6] :
                              ( app(app(cons(X4,nil),cons(X5,nil)),X6) != X3
                              | ~ ssList(X6) )
                          | ~ ssItem(X5) ) )
                  & sK4 = X2
                  & ~ singletonP(X1)
                  & ssList(X3) ) )
          & ssList(X1) )
      & ssList(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f131,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ssList(X2)
            & ? [X3] :
                ( neq(X1,nil)
                & X1 = X3
                & ! [X4] :
                    ( ~ ssItem(X4)
                    | ! [X5] :
                        ( ! [X6] :
                            ( app(app(cons(X4,nil),cons(X5,nil)),X6) != X3
                            | ~ ssList(X6) )
                        | ~ ssItem(X5) ) )
                & sK4 = X2
                & ~ singletonP(X1)
                & ssList(X3) ) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ssList(X2)
          & ? [X3] :
              ( neq(sK5,nil)
              & sK5 = X3
              & ! [X4] :
                  ( ~ ssItem(X4)
                  | ! [X5] :
                      ( ! [X6] :
                          ( app(app(cons(X4,nil),cons(X5,nil)),X6) != X3
                          | ~ ssList(X6) )
                      | ~ ssItem(X5) ) )
              & sK4 = X2
              & ~ singletonP(sK5)
              & ssList(X3) ) )
      & ssList(sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f132,plain,
    ( ? [X2] :
        ( ssList(X2)
        & ? [X3] :
            ( neq(sK5,nil)
            & sK5 = X3
            & ! [X4] :
                ( ~ ssItem(X4)
                | ! [X5] :
                    ( ! [X6] :
                        ( app(app(cons(X4,nil),cons(X5,nil)),X6) != X3
                        | ~ ssList(X6) )
                    | ~ ssItem(X5) ) )
            & sK4 = X2
            & ~ singletonP(sK5)
            & ssList(X3) ) )
   => ( ssList(sK6)
      & ? [X3] :
          ( neq(sK5,nil)
          & sK5 = X3
          & ! [X4] :
              ( ~ ssItem(X4)
              | ! [X5] :
                  ( ! [X6] :
                      ( app(app(cons(X4,nil),cons(X5,nil)),X6) != X3
                      | ~ ssList(X6) )
                  | ~ ssItem(X5) ) )
          & sK4 = sK6
          & ~ singletonP(sK5)
          & ssList(X3) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f133,plain,
    ( ? [X3] :
        ( neq(sK5,nil)
        & sK5 = X3
        & ! [X4] :
            ( ~ ssItem(X4)
            | ! [X5] :
                ( ! [X6] :
                    ( app(app(cons(X4,nil),cons(X5,nil)),X6) != X3
                    | ~ ssList(X6) )
                | ~ ssItem(X5) ) )
        & sK4 = sK6
        & ~ singletonP(sK5)
        & ssList(X3) )
   => ( neq(sK5,nil)
      & sK7 = sK5
      & ! [X4] :
          ( ~ ssItem(X4)
          | ! [X5] :
              ( ! [X6] :
                  ( app(app(cons(X4,nil),cons(X5,nil)),X6) != sK7
                  | ~ ssList(X6) )
              | ~ ssItem(X5) ) )
      & sK4 = sK6
      & ~ singletonP(sK5)
      & ssList(sK7) ) ),
    introduced(choice_axiom,[]) ).

fof(f113,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( neq(X1,nil)
                  & X1 = X3
                  & ! [X4] :
                      ( ~ ssItem(X4)
                      | ! [X5] :
                          ( ! [X6] :
                              ( app(app(cons(X4,nil),cons(X5,nil)),X6) != X3
                              | ~ ssList(X6) )
                          | ~ ssItem(X5) ) )
                  & X0 = X2
                  & ~ singletonP(X1)
                  & ssList(X3) ) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f112]) ).

fof(f112,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & X0 = X2
                  & ! [X4] :
                      ( ~ ssItem(X4)
                      | ! [X5] :
                          ( ! [X6] :
                              ( app(app(cons(X4,nil),cons(X5,nil)),X6) != X3
                              | ~ ssList(X6) )
                          | ~ ssItem(X5) ) )
                  & ~ singletonP(X1)
                  & neq(X1,nil)
                  & 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)
                   => ( X1 != X3
                      | X0 != X2
                      | ? [X4] :
                          ( ssItem(X4)
                          & ? [X5] :
                              ( ssItem(X5)
                              & ? [X6] :
                                  ( ssList(X6)
                                  & app(app(cons(X4,nil),cons(X5,nil)),X6) = X3 ) ) )
                      | singletonP(X1)
                      | ~ neq(X1,nil) ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

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

fof(f1176,plain,
    ~ spl9_9,
    inference(avatar_contradiction_clause,[],[f1175]) ).

fof(f1175,plain,
    ( $false
    | ~ spl9_9 ),
    inference(subsumption_resolution,[],[f1173,f173]) ).

fof(f1173,plain,
    ( ~ ssList(nil)
    | ~ spl9_9 ),
    inference(resolution,[],[f1150,f190]) ).

fof(f1150,plain,
    ( neq(nil,nil)
    | ~ spl9_9 ),
    inference(superposition,[],[f166,f1095]) ).

fof(f1095,plain,
    ( nil = sK5
    | ~ spl9_9 ),
    inference(subsumption_resolution,[],[f1094,f160]) ).

fof(f160,plain,
    ssList(sK5),
    inference(cnf_transformation,[],[f134]) ).

fof(f1094,plain,
    ( nil = sK5
    | ~ ssList(sK5)
    | ~ spl9_9 ),
    inference(resolution,[],[f1044,f148]) ).

fof(f148,plain,
    ! [X0] :
      ( ssItem(sK3(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f128,plain,
    ! [X0] :
      ( ( ssList(sK2(X0))
        & cons(sK3(X0),sK2(X0)) = X0
        & ssItem(sK3(X0)) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f120,f127,f126]) ).

fof(f126,plain,
    ! [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) ) )
     => ( ssList(sK2(X0))
        & ? [X2] :
            ( cons(X2,sK2(X0)) = X0
            & ssItem(X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f127,plain,
    ! [X0] :
      ( ? [X2] :
          ( cons(X2,sK2(X0)) = X0
          & ssItem(X2) )
     => ( cons(sK3(X0),sK2(X0)) = X0
        & ssItem(sK3(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f120,plain,
    ! [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) ) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f119]) ).

fof(f119,plain,
    ! [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) ) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f20]) ).

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

fof(f1044,plain,
    ( ~ ssItem(sK3(sK5))
    | ~ spl9_9 ),
    inference(subsumption_resolution,[],[f1043,f162]) ).

fof(f162,plain,
    ~ singletonP(sK5),
    inference(cnf_transformation,[],[f134]) ).

fof(f1043,plain,
    ( ~ ssItem(sK3(sK5))
    | singletonP(sK5)
    | ~ spl9_9 ),
    inference(subsumption_resolution,[],[f955,f160]) ).

fof(f955,plain,
    ( ~ ssList(sK5)
    | singletonP(sK5)
    | ~ ssItem(sK3(sK5))
    | ~ spl9_9 ),
    inference(superposition,[],[f187,f844]) ).

fof(f844,plain,
    ( cons(sK3(sK5),nil) = sK5
    | ~ spl9_9 ),
    inference(avatar_component_clause,[],[f842]) ).

fof(f842,plain,
    ( spl9_9
  <=> cons(sK3(sK5),nil) = sK5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_9])]) ).

fof(f187,plain,
    ! [X2] :
      ( ~ ssList(cons(X2,nil))
      | singletonP(cons(X2,nil))
      | ~ ssItem(X2) ),
    inference(equality_resolution,[],[f174]) ).

fof(f174,plain,
    ! [X2,X0] :
      ( ~ ssList(X0)
      | singletonP(X0)
      | cons(X2,nil) != X0
      | ~ ssItem(X2) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f139,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ( ( ( cons(sK8(X0),nil) = X0
            & ssItem(sK8(X0)) )
          | ~ singletonP(X0) )
        & ( singletonP(X0)
          | ! [X2] :
              ( cons(X2,nil) != X0
              | ~ ssItem(X2) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f137,f138]) ).

fof(f138,plain,
    ! [X0] :
      ( ? [X1] :
          ( cons(X1,nil) = X0
          & ssItem(X1) )
     => ( cons(sK8(X0),nil) = X0
        & ssItem(sK8(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f137,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ( ( ? [X1] :
              ( cons(X1,nil) = X0
              & ssItem(X1) )
          | ~ singletonP(X0) )
        & ( singletonP(X0)
          | ! [X2] :
              ( cons(X2,nil) != X0
              | ~ ssItem(X2) ) ) ) ),
    inference(rectify,[],[f136]) ).

fof(f136,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ( ( ? [X1] :
              ( cons(X1,nil) = X0
              & ssItem(X1) )
          | ~ singletonP(X0) )
        & ( singletonP(X0)
          | ! [X1] :
              ( cons(X1,nil) != X0
              | ~ ssItem(X1) ) ) ) ),
    inference(nnf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ( ? [X1] :
            ( cons(X1,nil) = X0
            & ssItem(X1) )
      <=> singletonP(X0) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( ? [X1] :
            ( cons(X1,nil) = X0
            & ssItem(X1) )
      <=> singletonP(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

fof(f845,plain,
    ( spl9_1
    | spl9_9
    | ~ spl9_5 ),
    inference(avatar_split_clause,[],[f840,f689,f842,f252]) ).

fof(f689,plain,
    ( spl9_5
  <=> nil = sK2(sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).

fof(f840,plain,
    ( cons(sK3(sK5),nil) = sK5
    | nil = sK5
    | ~ spl9_5 ),
    inference(subsumption_resolution,[],[f838,f160]) ).

fof(f838,plain,
    ( ~ ssList(sK5)
    | cons(sK3(sK5),nil) = sK5
    | nil = sK5
    | ~ spl9_5 ),
    inference(superposition,[],[f149,f691]) ).

fof(f691,plain,
    ( nil = sK2(sK5)
    | ~ spl9_5 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f149,plain,
    ! [X0] :
      ( cons(sK3(X0),sK2(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f722,plain,
    spl9_6,
    inference(avatar_contradiction_clause,[],[f721]) ).

fof(f721,plain,
    ( $false
    | spl9_6 ),
    inference(subsumption_resolution,[],[f719,f173]) ).

fof(f719,plain,
    ( ~ ssList(nil)
    | spl9_6 ),
    inference(resolution,[],[f705,f190]) ).

fof(f705,plain,
    ( neq(nil,nil)
    | spl9_6 ),
    inference(superposition,[],[f166,f702]) ).

fof(f702,plain,
    ( nil = sK5
    | spl9_6 ),
    inference(subsumption_resolution,[],[f701,f160]) ).

fof(f701,plain,
    ( ~ ssList(sK5)
    | nil = sK5
    | spl9_6 ),
    inference(resolution,[],[f699,f150]) ).

fof(f150,plain,
    ! [X0] :
      ( ssList(sK2(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f128]) ).

fof(f699,plain,
    ( ~ ssList(sK2(sK5))
    | spl9_6 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f697,plain,
    ( spl9_6
  <=> ssList(sK2(sK5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_6])]) ).

fof(f700,plain,
    ( spl9_5
    | ~ spl9_6
    | spl9_4 ),
    inference(avatar_split_clause,[],[f695,f685,f697,f689]) ).

fof(f685,plain,
    ( spl9_4
  <=> ssList(cons(sK3(sK2(sK5)),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).

fof(f695,plain,
    ( ~ ssList(sK2(sK5))
    | nil = sK2(sK5)
    | spl9_4 ),
    inference(resolution,[],[f694,f148]) ).

fof(f694,plain,
    ( ~ ssItem(sK3(sK2(sK5)))
    | spl9_4 ),
    inference(subsumption_resolution,[],[f693,f173]) ).

fof(f693,plain,
    ( ~ ssItem(sK3(sK2(sK5)))
    | ~ ssList(nil)
    | spl9_4 ),
    inference(resolution,[],[f687,f177]) ).

fof(f177,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssList(X0)
      | ~ ssItem(X1) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssItem(X1)
          | ssList(cons(X1,X0)) ) ),
    inference(ennf_transformation,[],[f16]) ).

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

fof(f687,plain,
    ( ~ ssList(cons(sK3(sK2(sK5)),nil))
    | spl9_4 ),
    inference(avatar_component_clause,[],[f685]) ).

fof(f692,plain,
    ( spl9_1
    | ~ spl9_4
    | spl9_5 ),
    inference(avatar_split_clause,[],[f683,f689,f685,f252]) ).

fof(f683,plain,
    ( nil = sK2(sK5)
    | ~ ssList(cons(sK3(sK2(sK5)),nil))
    | nil = sK5 ),
    inference(subsumption_resolution,[],[f682,f160]) ).

fof(f682,plain,
    ( nil = sK5
    | nil = sK2(sK5)
    | ~ ssList(cons(sK3(sK2(sK5)),nil))
    | ~ ssList(sK5) ),
    inference(equality_resolution,[],[f527]) ).

fof(f527,plain,
    ! [X1] :
      ( sK5 != X1
      | ~ ssList(cons(sK3(sK2(X1)),nil))
      | nil = sK2(X1)
      | ~ ssList(X1)
      | nil = X1 ),
    inference(subsumption_resolution,[],[f526,f148]) ).

fof(f526,plain,
    ! [X1] :
      ( ~ ssItem(sK3(X1))
      | nil = sK2(X1)
      | ~ ssList(X1)
      | nil = X1
      | ~ ssList(cons(sK3(sK2(X1)),nil))
      | sK5 != X1 ),
    inference(subsumption_resolution,[],[f525,f150]) ).

fof(f525,plain,
    ! [X1] :
      ( nil = sK2(X1)
      | ~ ssList(sK2(X1))
      | ~ ssItem(sK3(X1))
      | nil = X1
      | sK5 != X1
      | ~ ssList(cons(sK3(sK2(X1)),nil))
      | ~ ssList(X1) ),
    inference(superposition,[],[f504,f149]) ).

fof(f504,plain,
    ! [X2,X3] :
      ( cons(X3,X2) != sK5
      | ~ ssItem(X3)
      | ~ ssList(cons(sK3(X2),nil))
      | ~ ssList(X2)
      | nil = X2 ),
    inference(subsumption_resolution,[],[f503,f150]) ).

fof(f503,plain,
    ! [X2,X3] :
      ( ~ ssItem(X3)
      | ~ ssList(cons(sK3(X2),nil))
      | nil = X2
      | ~ ssList(sK2(X2))
      | ~ ssList(X2)
      | cons(X3,X2) != sK5 ),
    inference(subsumption_resolution,[],[f501,f148]) ).

fof(f501,plain,
    ! [X2,X3] :
      ( ~ ssList(X2)
      | ~ ssItem(sK3(X2))
      | cons(X3,X2) != sK5
      | ~ ssList(sK2(X2))
      | ~ ssItem(X3)
      | ~ ssList(cons(sK3(X2),nil))
      | nil = X2 ),
    inference(superposition,[],[f308,f149]) ).

fof(f308,plain,
    ! [X8,X6,X7] :
      ( cons(X8,cons(X6,X7)) != sK5
      | ~ ssList(cons(X6,nil))
      | ~ ssItem(X8)
      | ~ ssItem(X6)
      | ~ ssList(X7) ),
    inference(subsumption_resolution,[],[f300,f187]) ).

fof(f300,plain,
    ! [X8,X6,X7] :
      ( ~ ssList(cons(X6,nil))
      | ~ ssList(X7)
      | ~ ssItem(X6)
      | ~ ssItem(X8)
      | ~ singletonP(cons(X6,nil))
      | cons(X8,cons(X6,X7)) != sK5 ),
    inference(duplicate_literal_removal,[],[f296]) ).

fof(f296,plain,
    ! [X8,X6,X7] :
      ( ~ ssList(X7)
      | cons(X8,cons(X6,X7)) != sK5
      | ~ ssList(cons(X6,nil))
      | ~ ssItem(X8)
      | ~ ssItem(X6)
      | ~ singletonP(cons(X6,nil))
      | ~ ssList(X7) ),
    inference(superposition,[],[f232,f154]) ).

fof(f154,plain,
    ! [X0,X1] :
      ( cons(X1,X0) = app(cons(X1,nil),X0)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f114,plain,
    ! [X0] :
      ( ! [X1] :
          ( cons(X1,X0) = app(cons(X1,nil),X0)
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f81]) ).

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

fof(f232,plain,
    ! [X2,X0,X1] :
      ( cons(X0,app(X1,X2)) != sK5
      | ~ ssList(X2)
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | ~ singletonP(X1) ),
    inference(duplicate_literal_removal,[],[f229]) ).

fof(f229,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X2)
      | ~ ssItem(X0)
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | cons(X0,app(X1,X2)) != sK5
      | ~ singletonP(X1) ),
    inference(superposition,[],[f223,f155]) ).

fof(f155,plain,
    ! [X2,X0,X1] :
      ( cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
      | ~ ssItem(X2)
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
              | ~ ssItem(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssItem(X2)
             => cons(X2,app(X1,X0)) = app(cons(X2,X1),X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).

fof(f223,plain,
    ! [X3,X4,X5] :
      ( app(cons(X3,X4),X5) != sK5
      | ~ singletonP(X4)
      | ~ ssList(X4)
      | ~ ssList(X5)
      | ~ ssItem(X3) ),
    inference(duplicate_literal_removal,[],[f218]) ).

fof(f218,plain,
    ! [X3,X4,X5] :
      ( ~ ssList(X5)
      | ~ ssItem(X3)
      | ~ ssItem(X3)
      | app(cons(X3,X4),X5) != sK5
      | ~ singletonP(X4)
      | ~ ssList(X4)
      | ~ ssList(X4) ),
    inference(superposition,[],[f202,f154]) ).

fof(f202,plain,
    ! [X2,X0,X1] :
      ( sK5 != app(app(cons(X1,nil),X0),X2)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | ~ singletonP(X0)
      | ~ ssList(X2) ),
    inference(subsumption_resolution,[],[f192,f175]) ).

fof(f175,plain,
    ! [X0] :
      ( ssItem(sK8(X0))
      | ~ singletonP(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f192,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X1)
      | sK5 != app(app(cons(X1,nil),X0),X2)
      | ~ singletonP(X0)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssItem(sK8(X0)) ),
    inference(superposition,[],[f180,f176]) ).

fof(f176,plain,
    ! [X0] :
      ( cons(sK8(X0),nil) = X0
      | ~ ssList(X0)
      | ~ singletonP(X0) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f180,plain,
    ! [X6,X4,X5] :
      ( app(app(cons(X4,nil),cons(X5,nil)),X6) != sK5
      | ~ ssItem(X4)
      | ~ ssItem(X5)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f164,f165]) ).

fof(f165,plain,
    sK7 = sK5,
    inference(cnf_transformation,[],[f134]) ).

fof(f164,plain,
    ! [X6,X4,X5] :
      ( ~ ssItem(X4)
      | app(app(cons(X4,nil),cons(X5,nil)),X6) != sK7
      | ~ ssList(X6)
      | ~ ssItem(X5) ),
    inference(cnf_transformation,[],[f134]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWC149+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 18:29:34 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.57  % (6141)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)
% 0.21/0.57  % (6143)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.45/0.58  % (6152)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.45/0.58  % (6133)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.45/0.58  % (6143)Refutation not found, incomplete strategy% (6143)------------------------------
% 1.45/0.58  % (6143)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.58  % (6136)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.45/0.58  % (6143)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.58  % (6143)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.58  
% 1.45/0.58  % (6143)Memory used [KB]: 6012
% 1.45/0.58  % (6143)Time elapsed: 0.147 s
% 1.45/0.58  % (6143)Instructions burned: 4 (million)
% 1.45/0.58  % (6143)------------------------------
% 1.45/0.58  % (6143)------------------------------
% 1.45/0.59  % (6152)Refutation not found, incomplete strategy% (6152)------------------------------
% 1.45/0.59  % (6152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.60  % (6153)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.89/0.60  % (6152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.60  % (6152)Termination reason: Refutation not found, incomplete strategy
% 1.89/0.60  
% 1.89/0.60  % (6152)Memory used [KB]: 6140
% 1.89/0.60  % (6152)Time elapsed: 0.162 s
% 1.89/0.60  % (6152)Instructions burned: 4 (million)
% 1.89/0.60  % (6152)------------------------------
% 1.89/0.60  % (6152)------------------------------
% 1.89/0.61  % (6139)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)
% 1.89/0.61  % (6156)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.89/0.62  % (6148)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.89/0.63  % (6148)Instruction limit reached!
% 1.89/0.63  % (6148)------------------------------
% 1.89/0.63  % (6148)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.63  % (6148)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.63  % (6138)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.89/0.63  % (6148)Termination reason: Unknown
% 1.89/0.63  % (6148)Termination phase: Function definition elimination
% 1.89/0.63  
% 1.89/0.63  % (6148)Memory used [KB]: 1791
% 1.89/0.63  % (6148)Time elapsed: 0.006 s
% 1.89/0.63  % (6148)Instructions burned: 8 (million)
% 1.89/0.63  % (6148)------------------------------
% 1.89/0.63  % (6148)------------------------------
% 1.89/0.63  % (6137)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.89/0.63  % (6134)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.89/0.63  % (6140)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.89/0.63  % (6142)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.89/0.64  % (6135)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.89/0.64  % (6154)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.89/0.64  % (6135)Instruction limit reached!
% 1.89/0.64  % (6135)------------------------------
% 1.89/0.64  % (6135)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.64  % (6135)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.64  % (6135)Termination reason: Unknown
% 1.89/0.64  % (6135)Termination phase: shuffling
% 1.89/0.64  
% 1.89/0.64  % (6135)Memory used [KB]: 1535
% 1.89/0.64  % (6135)Time elapsed: 0.003 s
% 1.89/0.64  % (6135)Instructions burned: 3 (million)
% 1.89/0.64  % (6135)------------------------------
% 1.89/0.64  % (6135)------------------------------
% 1.89/0.64  % (6150)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.89/0.64  % (6149)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)
% 1.89/0.64  % (6147)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.89/0.64  % (6146)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.89/0.64  % (6145)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.89/0.64  % (6144)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.89/0.64  % (6162)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.89/0.65  % (6158)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.89/0.65  % (6157)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.89/0.65  % (6155)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.89/0.65  % (6159)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.89/0.65  % (6134)Instruction limit reached!
% 1.89/0.65  % (6134)------------------------------
% 1.89/0.65  % (6134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.65  % (6150)Instruction limit reached!
% 1.89/0.65  % (6150)------------------------------
% 1.89/0.65  % (6150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.65  % (6141)Instruction limit reached!
% 1.89/0.65  % (6141)------------------------------
% 1.89/0.65  % (6141)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.65  % (6141)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.65  % (6141)Termination reason: Unknown
% 1.89/0.65  % (6141)Termination phase: Saturation
% 1.89/0.65  
% 1.89/0.65  % (6138)Instruction limit reached!
% 1.89/0.65  % (6138)------------------------------
% 1.89/0.65  % (6138)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.65  % (6138)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.65  % (6138)Termination reason: Unknown
% 1.89/0.65  % (6138)Termination phase: Saturation
% 1.89/0.65  
% 1.89/0.65  % (6138)Memory used [KB]: 1663
% 1.89/0.65  % (6138)Time elapsed: 0.221 s
% 1.89/0.65  % (6138)Instructions burned: 15 (million)
% 1.89/0.65  % (6138)------------------------------
% 1.89/0.65  % (6138)------------------------------
% 1.89/0.65  % (6141)Memory used [KB]: 6780
% 1.89/0.65  % (6141)Time elapsed: 0.196 s
% 1.89/0.65  % (6141)Instructions burned: 49 (million)
% 1.89/0.65  % (6141)------------------------------
% 1.89/0.65  % (6141)------------------------------
% 1.89/0.66  % (6147)Instruction limit reached!
% 1.89/0.66  % (6147)------------------------------
% 1.89/0.66  % (6147)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.66  % (6147)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.66  % (6147)Termination reason: Unknown
% 1.89/0.66  % (6147)Termination phase: Naming
% 1.89/0.66  
% 1.89/0.66  % (6147)Memory used [KB]: 1535
% 1.89/0.66  % (6147)Time elapsed: 0.004 s
% 1.89/0.66  % (6147)Instructions burned: 3 (million)
% 1.89/0.66  % (6147)------------------------------
% 1.89/0.66  % (6147)------------------------------
% 1.89/0.66  % (6160)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.89/0.66  % (6150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.66  % (6150)Termination reason: Unknown
% 1.89/0.66  % (6150)Termination phase: Naming
% 1.89/0.66  
% 1.89/0.66  % (6150)Memory used [KB]: 1663
% 1.89/0.66  % (6150)Time elapsed: 0.005 s
% 1.89/0.66  % (6150)Instructions burned: 3 (million)
% 1.89/0.66  % (6150)------------------------------
% 1.89/0.66  % (6150)------------------------------
% 1.89/0.66  % (6137)Instruction limit reached!
% 1.89/0.66  % (6137)------------------------------
% 1.89/0.66  % (6137)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.66  % (6137)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.66  % (6137)Termination reason: Unknown
% 1.89/0.66  % (6137)Termination phase: Saturation
% 1.89/0.66  
% 1.89/0.66  % (6137)Memory used [KB]: 6268
% 1.89/0.66  % (6137)Time elapsed: 0.221 s
% 1.89/0.66  % (6137)Instructions burned: 13 (million)
% 1.89/0.66  % (6137)------------------------------
% 1.89/0.66  % (6137)------------------------------
% 1.89/0.67  % (6134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.67  % (6134)Termination reason: Unknown
% 1.89/0.67  % (6134)Termination phase: Saturation
% 1.89/0.67  
% 1.89/0.67  % (6134)Memory used [KB]: 6396
% 1.89/0.67  % (6134)Time elapsed: 0.206 s
% 1.89/0.67  % (6134)Instructions burned: 13 (million)
% 1.89/0.67  % (6134)------------------------------
% 1.89/0.67  % (6134)------------------------------
% 1.89/0.67  % (6153)Instruction limit reached!
% 1.89/0.67  % (6153)------------------------------
% 1.89/0.67  % (6153)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.67  % (6144)Instruction limit reached!
% 1.89/0.67  % (6144)------------------------------
% 1.89/0.67  % (6144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.67  % (6144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.67  % (6144)Termination reason: Unknown
% 1.89/0.67  % (6144)Termination phase: Saturation
% 1.89/0.67  
% 1.89/0.67  % (6144)Memory used [KB]: 6140
% 1.89/0.67  % (6144)Time elapsed: 0.232 s
% 1.89/0.67  % (6144)Instructions burned: 8 (million)
% 1.89/0.67  % (6144)------------------------------
% 1.89/0.67  % (6144)------------------------------
% 1.89/0.67  % (6161)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.89/0.67  % (6153)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.67  % (6153)Termination reason: Unknown
% 1.89/0.67  % (6153)Termination phase: Saturation
% 1.89/0.67  
% 1.89/0.67  % (6153)Memory used [KB]: 6524
% 1.89/0.67  % (6153)Time elapsed: 0.214 s
% 1.89/0.67  % (6153)Instructions burned: 31 (million)
% 1.89/0.67  % (6153)------------------------------
% 1.89/0.67  % (6153)------------------------------
% 2.47/0.67  % (6136)Instruction limit reached!
% 2.47/0.67  % (6136)------------------------------
% 2.47/0.67  % (6136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.67  % (6136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.67  % (6136)Termination reason: Unknown
% 2.47/0.67  % (6136)Termination phase: Saturation
% 2.47/0.67  
% 2.47/0.67  % (6136)Memory used [KB]: 6908
% 2.47/0.67  % (6136)Time elapsed: 0.231 s
% 2.47/0.67  % (6136)Instructions burned: 52 (million)
% 2.47/0.67  % (6136)------------------------------
% 2.47/0.67  % (6136)------------------------------
% 2.47/0.68  % (6145)Instruction limit reached!
% 2.47/0.68  % (6145)------------------------------
% 2.47/0.68  % (6145)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.68  % (6145)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.68  % (6145)Termination reason: Unknown
% 2.47/0.68  % (6145)Termination phase: Saturation
% 2.47/0.68  
% 2.47/0.68  % (6145)Memory used [KB]: 2046
% 2.47/0.68  % (6145)Time elapsed: 0.242 s
% 2.47/0.68  % (6145)Instructions burned: 16 (million)
% 2.47/0.68  % (6145)------------------------------
% 2.47/0.68  % (6145)------------------------------
% 2.47/0.68  % (6151)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)
% 2.47/0.68  % (6151)Instruction limit reached!
% 2.47/0.68  % (6151)------------------------------
% 2.47/0.68  % (6151)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.69  % (6151)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.69  % (6151)Termination reason: Unknown
% 2.47/0.69  % (6151)Termination phase: Preprocessing 3
% 2.47/0.69  
% 2.47/0.69  % (6151)Memory used [KB]: 1535
% 2.47/0.69  % (6161)Instruction limit reached!
% 2.47/0.69  % (6161)------------------------------
% 2.47/0.69  % (6161)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.69  % (6151)Time elapsed: 0.004 s
% 2.47/0.69  % (6151)Instructions burned: 2 (million)
% 2.47/0.69  % (6151)------------------------------
% 2.47/0.69  % (6151)------------------------------
% 2.47/0.69  % (6161)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.69  % (6161)Termination reason: Unknown
% 2.47/0.69  % (6161)Termination phase: Property scanning
% 2.47/0.69  
% 2.47/0.69  % (6161)Memory used [KB]: 1791
% 2.47/0.69  % (6161)Time elapsed: 0.007 s
% 2.47/0.69  % (6161)Instructions burned: 8 (million)
% 2.47/0.69  % (6161)------------------------------
% 2.47/0.69  % (6161)------------------------------
% 2.47/0.71  % (6160)Instruction limit reached!
% 2.47/0.71  % (6160)------------------------------
% 2.47/0.71  % (6160)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.72  % (6139)Instruction limit reached!
% 2.47/0.72  % (6139)------------------------------
% 2.47/0.72  % (6139)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.72  % (6162)Instruction limit reached!
% 2.47/0.72  % (6162)------------------------------
% 2.47/0.72  % (6162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.72  % (6162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.72  % (6162)Termination reason: Unknown
% 2.47/0.72  % (6162)Termination phase: Saturation
% 2.47/0.72  
% 2.47/0.72  % (6162)Memory used [KB]: 6396
% 2.47/0.72  % (6162)Time elapsed: 0.272 s
% 2.47/0.72  % (6162)Instructions burned: 24 (million)
% 2.47/0.72  % (6162)------------------------------
% 2.47/0.72  % (6162)------------------------------
% 2.47/0.72  % (6142)Instruction limit reached!
% 2.47/0.72  % (6142)------------------------------
% 2.47/0.72  % (6142)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.72  % (6142)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.72  % (6139)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.72  % (6139)Termination reason: Unknown
% 2.47/0.72  % (6139)Termination phase: Saturation
% 2.47/0.72  
% 2.47/0.72  % (6139)Memory used [KB]: 6524
% 2.47/0.72  % (6139)Time elapsed: 0.271 s
% 2.47/0.72  % (6139)Instructions burned: 39 (million)
% 2.47/0.72  % (6139)------------------------------
% 2.47/0.72  % (6139)------------------------------
% 2.47/0.72  % (6142)Termination reason: Unknown
% 2.47/0.72  % (6142)Termination phase: Saturation
% 2.47/0.72  
% 2.47/0.72  % (6142)Memory used [KB]: 6524
% 2.47/0.72  % (6142)Time elapsed: 0.263 s
% 2.47/0.72  % (6142)Instructions burned: 33 (million)
% 2.47/0.72  % (6142)------------------------------
% 2.47/0.72  % (6142)------------------------------
% 2.47/0.72  % (6160)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.72  % (6160)Termination reason: Unknown
% 2.47/0.72  % (6160)Termination phase: Saturation
% 2.47/0.72  
% 2.47/0.72  % (6160)Memory used [KB]: 6780
% 2.47/0.72  % (6160)Time elapsed: 0.259 s
% 2.47/0.72  % (6160)Instructions burned: 25 (million)
% 2.47/0.72  % (6160)------------------------------
% 2.47/0.72  % (6160)------------------------------
% 2.47/0.74  % (6156)Instruction limit reached!
% 2.47/0.74  % (6156)------------------------------
% 2.47/0.74  % (6156)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.74  % (6156)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.74  % (6156)Termination reason: Unknown
% 2.47/0.74  % (6156)Termination phase: Saturation
% 2.47/0.74  
% 2.47/0.74  % (6156)Memory used [KB]: 2046
% 2.47/0.74  % (6156)Time elapsed: 0.252 s
% 2.47/0.74  % (6156)Instructions burned: 45 (million)
% 2.47/0.74  % (6156)------------------------------
% 2.47/0.74  % (6156)------------------------------
% 2.47/0.74  % (6140)Instruction limit reached!
% 2.47/0.74  % (6140)------------------------------
% 2.47/0.74  % (6140)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.74  % (6140)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.74  % (6140)Termination reason: Unknown
% 2.47/0.74  % (6140)Termination phase: Saturation
% 2.47/0.74  
% 2.47/0.74  % (6140)Memory used [KB]: 6524
% 2.47/0.74  % (6140)Time elapsed: 0.254 s
% 2.47/0.74  % (6140)Instructions burned: 39 (million)
% 2.47/0.74  % (6140)------------------------------
% 2.47/0.74  % (6140)------------------------------
% 2.47/0.76  % (6195)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 (2997ds/92Mi)
% 2.87/0.78  % (6157)Instruction limit reached!
% 2.87/0.78  % (6157)------------------------------
% 2.87/0.78  % (6157)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.78  % (6157)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.78  % (6157)Termination reason: Unknown
% 2.87/0.78  % (6157)Termination phase: Saturation
% 2.87/0.78  
% 2.87/0.78  % (6157)Memory used [KB]: 6780
% 2.87/0.78  % (6157)Time elapsed: 0.339 s
% 2.87/0.78  % (6157)Instructions burned: 50 (million)
% 2.87/0.78  % (6157)------------------------------
% 2.87/0.78  % (6157)------------------------------
% 2.87/0.78  % (6146)Instruction limit reached!
% 2.87/0.78  % (6146)------------------------------
% 2.87/0.78  % (6146)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.79  % (6146)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.79  % (6146)Termination reason: Unknown
% 2.87/0.79  % (6146)Termination phase: Saturation
% 2.87/0.79  
% 2.87/0.79  % (6146)Memory used [KB]: 7036
% 2.87/0.79  % (6146)Time elapsed: 0.327 s
% 2.87/0.79  % (6146)Instructions burned: 51 (million)
% 2.87/0.79  % (6146)------------------------------
% 2.87/0.79  % (6146)------------------------------
% 2.87/0.79  % (6149)Instruction limit reached!
% 2.87/0.79  % (6149)------------------------------
% 2.87/0.79  % (6149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.79  % (6149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.79  % (6149)Termination reason: Unknown
% 2.87/0.79  % (6149)Termination phase: Saturation
% 2.87/0.79  
% 2.87/0.79  % (6149)Memory used [KB]: 7036
% 2.87/0.79  % (6149)Time elapsed: 0.337 s
% 2.87/0.79  % (6149)Instructions burned: 50 (million)
% 2.87/0.79  % (6149)------------------------------
% 2.87/0.79  % (6149)------------------------------
% 2.87/0.79  % (6196)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 (2997ds/7Mi)
% 2.96/0.82  % (6196)Instruction limit reached!
% 2.96/0.82  % (6196)------------------------------
% 2.96/0.82  % (6196)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.96/0.82  % (6196)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.96/0.82  % (6196)Termination reason: Unknown
% 2.96/0.82  % (6196)Termination phase: Saturation
% 2.96/0.82  
% 2.96/0.82  % (6196)Memory used [KB]: 10618
% 2.96/0.82  % (6196)Time elapsed: 0.131 s
% 2.96/0.82  % (6196)Instructions burned: 7 (million)
% 2.96/0.82  % (6196)------------------------------
% 2.96/0.82  % (6196)------------------------------
% 2.96/0.83  % (6155)Instruction limit reached!
% 2.96/0.83  % (6155)------------------------------
% 2.96/0.83  % (6155)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.96/0.83  % (6155)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.96/0.83  % (6155)Termination reason: Unknown
% 2.96/0.83  % (6155)Termination phase: Saturation
% 2.96/0.83  
% 2.96/0.83  % (6155)Memory used [KB]: 7931
% 2.96/0.83  % (6155)Time elapsed: 0.393 s
% 2.96/0.83  % (6155)Instructions burned: 82 (million)
% 2.96/0.83  % (6155)------------------------------
% 2.96/0.83  % (6155)------------------------------
% 2.96/0.85  % (6201)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/56Mi)
% 2.96/0.85  % (6209)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 (2996ds/93Mi)
% 2.96/0.86  % (6208)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 (2996ds/131Mi)
% 2.96/0.86  % (6200)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 (2997ds/107Mi)
% 2.96/0.87  % (6197)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 (2997ds/87Mi)
% 2.96/0.87  % (6154)Instruction limit reached!
% 2.96/0.87  % (6154)------------------------------
% 2.96/0.87  % (6154)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.96/0.87  % (6154)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.96/0.87  % (6154)Termination reason: Unknown
% 2.96/0.87  % (6154)Termination phase: Saturation
% 2.96/0.87  
% 2.96/0.87  % (6154)Memory used [KB]: 8187
% 2.96/0.87  % (6154)Time elapsed: 0.432 s
% 2.96/0.87  % (6154)Instructions burned: 99 (million)
% 2.96/0.87  % (6154)------------------------------
% 2.96/0.87  % (6154)------------------------------
% 2.96/0.88  % (6202)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 (2997ds/141Mi)
% 2.96/0.88  % (6205)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/31Mi)
% 2.96/0.89  % (6195)First to succeed.
% 2.96/0.89  % (6216)ott+10_4:7_awrs=converge:bd=preordered:flr=on:nwc=10.0:sos=on:sp=reverse_frequency:to=lpo:urr=on:i=19:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/19Mi)
% 2.96/0.89  % (6204)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/42Mi)
% 2.96/0.90  % (6198)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/69Mi)
% 2.96/0.90  % (6213)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/32Mi)
% 2.96/0.90  % (6207)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 (2996ds/84Mi)
% 2.96/0.91  % (6206)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.96/0.91  % (6195)Refutation found. Thanks to Tanya!
% 2.96/0.91  % SZS status Theorem for theBenchmark
% 2.96/0.91  % SZS output start Proof for theBenchmark
% See solution above
% 2.96/0.91  % (6195)------------------------------
% 2.96/0.91  % (6195)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.96/0.91  % (6195)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.96/0.91  % (6195)Termination reason: Refutation
% 2.96/0.91  
% 2.96/0.91  % (6195)Memory used [KB]: 6652
% 2.96/0.91  % (6195)Time elapsed: 0.204 s
% 2.96/0.91  % (6195)Instructions burned: 56 (million)
% 2.96/0.91  % (6195)------------------------------
% 2.96/0.91  % (6195)------------------------------
% 2.96/0.91  % (6132)Success in time 0.536 s
%------------------------------------------------------------------------------