TSTP Solution File: SWC104+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC104+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 : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:38:49 EDT 2022

% Result   : Theorem 1.49s 0.56s
% Output   : Refutation 1.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   50 (  18 unt;   0 def)
%            Number of atoms       :  388 ( 127 equ)
%            Maximal formula atoms :   42 (   7 avg)
%            Number of connectives :  527 ( 189   ~; 161   |; 153   &)
%                                         (   4 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   8 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :  138 (  90   !;  48   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f365,plain,
    $false,
    inference(subsumption_resolution,[],[f363,f357]) ).

fof(f357,plain,
    ~ neq(nil,nil),
    inference(backward_demodulation,[],[f339,f343]) ).

fof(f343,plain,
    nil = sK0,
    inference(subsumption_resolution,[],[f342,f235]) ).

fof(f235,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

fof(f342,plain,
    ( nil = sK0
    | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f340,f208]) ).

fof(f208,plain,
    ssList(sK0),
    inference(cnf_transformation,[],[f155]) ).

fof(f155,plain,
    ( ssList(sK0)
    & ( nil != sK2
      | nil = sK3 )
    & ( ~ neq(sK0,nil)
      | ~ frontsegP(sK1,sK0) )
    & sK1 = sK3
    & neq(sK1,nil)
    & sK2 = sK0
    & ! [X5] :
        ( ! [X6] :
            ( app(cons(X5,nil),X6) != sK4
            | ~ ssList(X6)
            | ! [X7] :
                ( ! [X8] :
                    ( ~ ssList(X8)
                    | ~ leq(X7,X5)
                    | app(X8,cons(X7,nil)) != sK2 )
                | ~ ssItem(X7) ) )
        | ~ ssItem(X5) )
    & app(sK2,sK4) = sK3
    & totalorderedP(sK2)
    & ssList(sK4)
    & ssList(sK3)
    & ssList(sK2)
    & ssList(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f108,f154,f153,f152,f151,f150]) ).

fof(f150,plain,
    ( ? [X0] :
        ( ssList(X0)
        & ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( nil != X2
                      | nil = X3 )
                    & ( ~ neq(X0,nil)
                      | ~ frontsegP(X1,X0) )
                    & X1 = X3
                    & neq(X1,nil)
                    & X0 = X2
                    & ? [X4] :
                        ( ! [X5] :
                            ( ! [X6] :
                                ( app(cons(X5,nil),X6) != X4
                                | ~ ssList(X6)
                                | ! [X7] :
                                    ( ! [X8] :
                                        ( ~ ssList(X8)
                                        | ~ leq(X7,X5)
                                        | app(X8,cons(X7,nil)) != X2 )
                                    | ~ ssItem(X7) ) )
                            | ~ ssItem(X5) )
                        & app(X2,X4) = X3
                        & totalorderedP(X2)
                        & ssList(X4) )
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) ) )
   => ( ssList(sK0)
      & ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( nil != X2
                    | nil = X3 )
                  & ( ~ neq(sK0,nil)
                    | ~ frontsegP(X1,sK0) )
                  & X1 = X3
                  & neq(X1,nil)
                  & sK0 = X2
                  & ? [X4] :
                      ( ! [X5] :
                          ( ! [X6] :
                              ( app(cons(X5,nil),X6) != X4
                              | ~ ssList(X6)
                              | ! [X7] :
                                  ( ! [X8] :
                                      ( ~ ssList(X8)
                                      | ~ leq(X7,X5)
                                      | app(X8,cons(X7,nil)) != X2 )
                                  | ~ ssItem(X7) ) )
                          | ~ ssItem(X5) )
                      & app(X2,X4) = X3
                      & totalorderedP(X2)
                      & ssList(X4) )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f151,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( nil != X2
                  | nil = X3 )
                & ( ~ neq(sK0,nil)
                  | ~ frontsegP(X1,sK0) )
                & X1 = X3
                & neq(X1,nil)
                & sK0 = X2
                & ? [X4] :
                    ( ! [X5] :
                        ( ! [X6] :
                            ( app(cons(X5,nil),X6) != X4
                            | ~ ssList(X6)
                            | ! [X7] :
                                ( ! [X8] :
                                    ( ~ ssList(X8)
                                    | ~ leq(X7,X5)
                                    | app(X8,cons(X7,nil)) != X2 )
                                | ~ ssItem(X7) ) )
                        | ~ ssItem(X5) )
                    & app(X2,X4) = X3
                    & totalorderedP(X2)
                    & ssList(X4) )
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( nil != X2
                | nil = X3 )
              & ( ~ neq(sK0,nil)
                | ~ frontsegP(sK1,sK0) )
              & sK1 = X3
              & neq(sK1,nil)
              & sK0 = X2
              & ? [X4] :
                  ( ! [X5] :
                      ( ! [X6] :
                          ( app(cons(X5,nil),X6) != X4
                          | ~ ssList(X6)
                          | ! [X7] :
                              ( ! [X8] :
                                  ( ~ ssList(X8)
                                  | ~ leq(X7,X5)
                                  | app(X8,cons(X7,nil)) != X2 )
                              | ~ ssItem(X7) ) )
                      | ~ ssItem(X5) )
                  & app(X2,X4) = X3
                  & totalorderedP(X2)
                  & ssList(X4) )
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f152,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( nil != X2
              | nil = X3 )
            & ( ~ neq(sK0,nil)
              | ~ frontsegP(sK1,sK0) )
            & sK1 = X3
            & neq(sK1,nil)
            & sK0 = X2
            & ? [X4] :
                ( ! [X5] :
                    ( ! [X6] :
                        ( app(cons(X5,nil),X6) != X4
                        | ~ ssList(X6)
                        | ! [X7] :
                            ( ! [X8] :
                                ( ~ ssList(X8)
                                | ~ leq(X7,X5)
                                | app(X8,cons(X7,nil)) != X2 )
                            | ~ ssItem(X7) ) )
                    | ~ ssItem(X5) )
                & app(X2,X4) = X3
                & totalorderedP(X2)
                & ssList(X4) )
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( nil != sK2
            | nil = X3 )
          & ( ~ neq(sK0,nil)
            | ~ frontsegP(sK1,sK0) )
          & sK1 = X3
          & neq(sK1,nil)
          & sK2 = sK0
          & ? [X4] :
              ( ! [X5] :
                  ( ! [X6] :
                      ( app(cons(X5,nil),X6) != X4
                      | ~ ssList(X6)
                      | ! [X7] :
                          ( ! [X8] :
                              ( ~ ssList(X8)
                              | ~ leq(X7,X5)
                              | app(X8,cons(X7,nil)) != sK2 )
                          | ~ ssItem(X7) ) )
                  | ~ ssItem(X5) )
              & app(sK2,X4) = X3
              & totalorderedP(sK2)
              & ssList(X4) )
          & ssList(X3) )
      & ssList(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f153,plain,
    ( ? [X3] :
        ( ( nil != sK2
          | nil = X3 )
        & ( ~ neq(sK0,nil)
          | ~ frontsegP(sK1,sK0) )
        & sK1 = X3
        & neq(sK1,nil)
        & sK2 = sK0
        & ? [X4] :
            ( ! [X5] :
                ( ! [X6] :
                    ( app(cons(X5,nil),X6) != X4
                    | ~ ssList(X6)
                    | ! [X7] :
                        ( ! [X8] :
                            ( ~ ssList(X8)
                            | ~ leq(X7,X5)
                            | app(X8,cons(X7,nil)) != sK2 )
                        | ~ ssItem(X7) ) )
                | ~ ssItem(X5) )
            & app(sK2,X4) = X3
            & totalorderedP(sK2)
            & ssList(X4) )
        & ssList(X3) )
   => ( ( nil != sK2
        | nil = sK3 )
      & ( ~ neq(sK0,nil)
        | ~ frontsegP(sK1,sK0) )
      & sK1 = sK3
      & neq(sK1,nil)
      & sK2 = sK0
      & ? [X4] :
          ( ! [X5] :
              ( ! [X6] :
                  ( app(cons(X5,nil),X6) != X4
                  | ~ ssList(X6)
                  | ! [X7] :
                      ( ! [X8] :
                          ( ~ ssList(X8)
                          | ~ leq(X7,X5)
                          | app(X8,cons(X7,nil)) != sK2 )
                      | ~ ssItem(X7) ) )
              | ~ ssItem(X5) )
          & app(sK2,X4) = sK3
          & totalorderedP(sK2)
          & ssList(X4) )
      & ssList(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f154,plain,
    ( ? [X4] :
        ( ! [X5] :
            ( ! [X6] :
                ( app(cons(X5,nil),X6) != X4
                | ~ ssList(X6)
                | ! [X7] :
                    ( ! [X8] :
                        ( ~ ssList(X8)
                        | ~ leq(X7,X5)
                        | app(X8,cons(X7,nil)) != sK2 )
                    | ~ ssItem(X7) ) )
            | ~ ssItem(X5) )
        & app(sK2,X4) = sK3
        & totalorderedP(sK2)
        & ssList(X4) )
   => ( ! [X5] :
          ( ! [X6] :
              ( app(cons(X5,nil),X6) != sK4
              | ~ ssList(X6)
              | ! [X7] :
                  ( ! [X8] :
                      ( ~ ssList(X8)
                      | ~ leq(X7,X5)
                      | app(X8,cons(X7,nil)) != sK2 )
                  | ~ ssItem(X7) ) )
          | ~ ssItem(X5) )
      & app(sK2,sK4) = sK3
      & totalorderedP(sK2)
      & ssList(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f108,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( nil != X2
                    | nil = X3 )
                  & ( ~ neq(X0,nil)
                    | ~ frontsegP(X1,X0) )
                  & X1 = X3
                  & neq(X1,nil)
                  & X0 = X2
                  & ? [X4] :
                      ( ! [X5] :
                          ( ! [X6] :
                              ( app(cons(X5,nil),X6) != X4
                              | ~ ssList(X6)
                              | ! [X7] :
                                  ( ! [X8] :
                                      ( ~ ssList(X8)
                                      | ~ leq(X7,X5)
                                      | app(X8,cons(X7,nil)) != X2 )
                                  | ~ ssItem(X7) ) )
                          | ~ ssItem(X5) )
                      & app(X2,X4) = X3
                      & totalorderedP(X2)
                      & ssList(X4) )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) ) ),
    inference(flattening,[],[f107]) ).

fof(f107,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( totalorderedP(X2)
                      & app(X2,X4) = X3
                      & ! [X5] :
                          ( ! [X6] :
                              ( app(cons(X5,nil),X6) != X4
                              | ~ ssList(X6)
                              | ! [X7] :
                                  ( ! [X8] :
                                      ( ~ ssList(X8)
                                      | ~ leq(X7,X5)
                                      | app(X8,cons(X7,nil)) != X2 )
                                  | ~ ssItem(X7) ) )
                          | ~ ssItem(X5) )
                      & ssList(X4) )
                  & X1 = X3
                  & ( nil != X2
                    | nil = X3 )
                  & ( ~ neq(X0,nil)
                    | ~ frontsegP(X1,X0) )
                  & neq(X1,nil)
                  & X0 = X2
                  & 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)
                   => ( ! [X4] :
                          ( ssList(X4)
                         => ( ~ totalorderedP(X2)
                            | app(X2,X4) != X3
                            | ? [X5] :
                                ( ? [X6] :
                                    ( ssList(X6)
                                    & ? [X7] :
                                        ( ssItem(X7)
                                        & ? [X8] :
                                            ( ssList(X8)
                                            & leq(X7,X5)
                                            & app(X8,cons(X7,nil)) = X2 ) )
                                    & app(cons(X5,nil),X6) = X4 )
                                & ssItem(X5) ) ) )
                      | X1 != X3
                      | ( nil != X3
                        & nil = X2 )
                      | ( frontsegP(X1,X0)
                        & neq(X0,nil) )
                      | ~ neq(X1,nil)
                      | X0 != X2 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

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

fof(f340,plain,
    ( ~ ssList(sK0)
    | nil = sK0
    | ~ ssList(nil) ),
    inference(resolution,[],[f339,f249]) ).

fof(f249,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f179,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f124]) ).

fof(f124,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ( neq(X0,X1)
          <=> X0 != X1 ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f15]) ).

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

fof(f339,plain,
    ~ neq(sK0,nil),
    inference(subsumption_resolution,[],[f259,f311]) ).

fof(f311,plain,
    frontsegP(sK3,sK0),
    inference(subsumption_resolution,[],[f310,f208]) ).

fof(f310,plain,
    ( frontsegP(sK3,sK0)
    | ~ ssList(sK0) ),
    inference(subsumption_resolution,[],[f309,f199]) ).

fof(f199,plain,
    ssList(sK4),
    inference(cnf_transformation,[],[f155]) ).

fof(f309,plain,
    ( frontsegP(sK3,sK0)
    | ~ ssList(sK4)
    | ~ ssList(sK0) ),
    inference(subsumption_resolution,[],[f306,f198]) ).

fof(f198,plain,
    ssList(sK3),
    inference(cnf_transformation,[],[f155]) ).

fof(f306,plain,
    ( frontsegP(sK3,sK0)
    | ~ ssList(sK3)
    | ~ ssList(sK0)
    | ~ ssList(sK4) ),
    inference(superposition,[],[f272,f262]) ).

fof(f262,plain,
    app(sK0,sK4) = sK3,
    inference(definition_unfolding,[],[f201,f203]) ).

fof(f203,plain,
    sK2 = sK0,
    inference(cnf_transformation,[],[f155]) ).

fof(f201,plain,
    app(sK2,sK4) = sK3,
    inference(cnf_transformation,[],[f155]) ).

fof(f272,plain,
    ! [X3,X1] :
      ( frontsegP(app(X1,X3),X1)
      | ~ ssList(X1)
      | ~ ssList(X3)
      | ~ ssList(app(X1,X3)) ),
    inference(equality_resolution,[],[f236]) ).

fof(f236,plain,
    ! [X3,X0,X1] :
      ( frontsegP(X0,X1)
      | app(X1,X3) != X0
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f175,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ( app(X1,sK13(X0,X1)) = X0
                & ssList(sK13(X0,X1)) )
              | ~ frontsegP(X0,X1) )
            & ( frontsegP(X0,X1)
              | ! [X3] :
                  ( app(X1,X3) != X0
                  | ~ ssList(X3) ) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f173,f174]) ).

fof(f174,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( app(X1,X2) = X0
          & ssList(X2) )
     => ( app(X1,sK13(X0,X1)) = X0
        & ssList(sK13(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f173,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ? [X2] :
                  ( app(X1,X2) = X0
                  & ssList(X2) )
              | ~ frontsegP(X0,X1) )
            & ( frontsegP(X0,X1)
              | ! [X3] :
                  ( app(X1,X3) != X0
                  | ~ ssList(X3) ) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f172]) ).

fof(f172,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ? [X2] :
                  ( app(X1,X2) = X0
                  & ssList(X2) )
              | ~ frontsegP(X0,X1) )
            & ( frontsegP(X0,X1)
              | ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) ) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f114]) ).

fof(f114,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ? [X2] :
                ( app(X1,X2) = X0
                & ssList(X2) )
          <=> frontsegP(X0,X1) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f5]) ).

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

fof(f259,plain,
    ( ~ frontsegP(sK3,sK0)
    | ~ neq(sK0,nil) ),
    inference(definition_unfolding,[],[f206,f205]) ).

fof(f205,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f155]) ).

fof(f206,plain,
    ( ~ neq(sK0,nil)
    | ~ frontsegP(sK1,sK0) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f363,plain,
    neq(nil,nil),
    inference(backward_demodulation,[],[f260,f358]) ).

fof(f358,plain,
    nil = sK3,
    inference(trivial_inequality_removal,[],[f352]) ).

fof(f352,plain,
    ( nil != nil
    | nil = sK3 ),
    inference(backward_demodulation,[],[f258,f343]) ).

fof(f258,plain,
    ( nil = sK3
    | nil != sK0 ),
    inference(definition_unfolding,[],[f207,f203]) ).

fof(f207,plain,
    ( nil != sK2
    | nil = sK3 ),
    inference(cnf_transformation,[],[f155]) ).

fof(f260,plain,
    neq(sK3,nil),
    inference(definition_unfolding,[],[f204,f205]) ).

fof(f204,plain,
    neq(sK1,nil),
    inference(cnf_transformation,[],[f155]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SWC104+1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13  % 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 : n019.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 18:22:05 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (10568)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.51  % (10576)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.52  % (10568)Instruction limit reached!
% 0.20/0.52  % (10568)------------------------------
% 0.20/0.52  % (10568)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (10559)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (10568)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (10568)Termination reason: Unknown
% 0.20/0.53  % (10568)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (10568)Memory used [KB]: 2046
% 0.20/0.53  % (10568)Time elapsed: 0.104 s
% 0.20/0.53  % (10568)Instructions burned: 16 (million)
% 0.20/0.53  % (10568)------------------------------
% 0.20/0.53  % (10568)------------------------------
% 0.20/0.53  % (10557)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53  % (10584)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.53  % (10562)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.53  % (10584)Instruction limit reached!
% 0.20/0.53  % (10584)------------------------------
% 0.20/0.53  % (10584)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (10584)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (10584)Termination reason: Unknown
% 0.20/0.53  % (10584)Termination phase: Property scanning
% 0.20/0.53  
% 0.20/0.53  % (10584)Memory used [KB]: 1791
% 0.20/0.53  % (10584)Time elapsed: 0.005 s
% 0.20/0.53  % (10584)Instructions burned: 9 (million)
% 0.20/0.53  % (10584)------------------------------
% 0.20/0.53  % (10584)------------------------------
% 0.20/0.53  % (10561)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.54  % (10561)First to succeed.
% 0.20/0.54  % (10558)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54  % (10556)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.54  % (10582)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (10558)Instruction limit reached!
% 0.20/0.54  % (10558)------------------------------
% 0.20/0.54  % (10558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (10558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (10558)Termination reason: Unknown
% 0.20/0.54  % (10558)Termination phase: Preprocessing 3
% 0.20/0.54  
% 0.20/0.54  % (10558)Memory used [KB]: 1535
% 0.20/0.54  % (10558)Time elapsed: 0.003 s
% 0.20/0.54  % (10558)Instructions burned: 3 (million)
% 0.20/0.54  % (10558)------------------------------
% 0.20/0.54  % (10558)------------------------------
% 0.20/0.54  % (10583)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.54  % (10563)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.54  % (10560)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.54  % (10573)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54  % (10585)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.54  % (10573)Instruction limit reached!
% 0.20/0.54  % (10573)------------------------------
% 0.20/0.54  % (10573)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (10573)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (10573)Termination reason: Unknown
% 0.20/0.54  % (10573)Termination phase: Naming
% 0.20/0.54  
% 0.20/0.54  % (10573)Memory used [KB]: 1535
% 0.20/0.54  % (10573)Time elapsed: 0.002 s
% 0.20/0.54  % (10573)Instructions burned: 3 (million)
% 0.20/0.54  % (10573)------------------------------
% 0.20/0.54  % (10573)------------------------------
% 1.49/0.55  % (10579)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)
% 1.49/0.55  % (10581)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)
% 1.49/0.55  % (10570)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)
% 1.49/0.55  % (10564)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.49/0.55  % (10570)Instruction limit reached!
% 1.49/0.55  % (10570)------------------------------
% 1.49/0.55  % (10570)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.55  % (10570)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.55  % (10570)Termination reason: Unknown
% 1.49/0.55  % (10570)Termination phase: Preprocessing 3
% 1.49/0.55  
% 1.49/0.55  % (10570)Memory used [KB]: 1663
% 1.49/0.55  % (10570)Time elapsed: 0.003 s
% 1.49/0.55  % (10570)Instructions burned: 4 (million)
% 1.49/0.55  % (10570)------------------------------
% 1.49/0.55  % (10570)------------------------------
% 1.49/0.55  % (10578)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)
% 1.49/0.55  % (10577)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)
% 1.49/0.55  % (10574)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.49/0.55  % (10574)Instruction limit reached!
% 1.49/0.55  % (10574)------------------------------
% 1.49/0.55  % (10574)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.55  % (10574)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.55  % (10574)Termination reason: Unknown
% 1.49/0.55  % (10574)Termination phase: Preprocessing 3
% 1.49/0.55  
% 1.49/0.55  % (10574)Memory used [KB]: 1535
% 1.49/0.55  % (10574)Time elapsed: 0.003 s
% 1.49/0.55  % (10574)Instructions burned: 3 (million)
% 1.49/0.55  % (10574)------------------------------
% 1.49/0.55  % (10574)------------------------------
% 1.49/0.55  % (10575)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)
% 1.49/0.55  % (10565)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)
% 1.49/0.55  % (10566)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)
% 1.49/0.55  % (10557)Instruction limit reached!
% 1.49/0.55  % (10557)------------------------------
% 1.49/0.55  % (10557)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.55  % (10557)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.55  % (10557)Termination reason: Unknown
% 1.49/0.55  % (10557)Termination phase: Saturation
% 1.49/0.55  
% 1.49/0.55  % (10557)Memory used [KB]: 6396
% 1.49/0.55  % (10557)Time elapsed: 0.140 s
% 1.49/0.55  % (10557)Instructions burned: 13 (million)
% 1.49/0.55  % (10557)------------------------------
% 1.49/0.55  % (10557)------------------------------
% 1.49/0.56  % (10572)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)
% 1.49/0.56  % (10576)Instruction limit reached!
% 1.49/0.56  % (10576)------------------------------
% 1.49/0.56  % (10576)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56  % (10576)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.56  % (10576)Termination reason: Unknown
% 1.49/0.56  % (10576)Termination phase: Saturation
% 1.49/0.56  
% 1.49/0.56  % (10576)Memory used [KB]: 6524
% 1.49/0.56  % (10576)Time elapsed: 0.138 s
% 1.49/0.56  % (10576)Instructions burned: 30 (million)
% 1.49/0.56  % (10576)------------------------------
% 1.49/0.56  % (10576)------------------------------
% 1.49/0.56  % (10569)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)
% 1.49/0.56  % (10571)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)
% 1.49/0.56  % (10580)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)
% 1.49/0.56  % (10571)Instruction limit reached!
% 1.49/0.56  % (10571)------------------------------
% 1.49/0.56  % (10571)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56  % (10571)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.56  % (10571)Termination reason: Unknown
% 1.49/0.56  % (10571)Termination phase: Saturation
% 1.49/0.56  
% 1.49/0.56  % (10571)Memory used [KB]: 1791
% 1.49/0.56  % (10571)Time elapsed: 0.005 s
% 1.49/0.56  % (10571)Instructions burned: 9 (million)
% 1.49/0.56  % (10571)------------------------------
% 1.49/0.56  % (10571)------------------------------
% 1.49/0.56  % (10561)Refutation found. Thanks to Tanya!
% 1.49/0.56  % SZS status Theorem for theBenchmark
% 1.49/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.49/0.56  % (10561)------------------------------
% 1.49/0.56  % (10561)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56  % (10561)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.56  % (10561)Termination reason: Refutation
% 1.49/0.56  
% 1.49/0.56  % (10561)Memory used [KB]: 1663
% 1.49/0.56  % (10561)Time elapsed: 0.124 s
% 1.49/0.56  % (10561)Instructions burned: 7 (million)
% 1.49/0.56  % (10561)------------------------------
% 1.49/0.56  % (10561)------------------------------
% 1.49/0.56  % (10555)Success in time 0.202 s
%------------------------------------------------------------------------------