TSTP Solution File: SET815+4 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET815+4 : TPTP v8.1.0. Released v3.2.0.
% 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 : n004.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 18:22:21 EDT 2022

% Result   : Theorem 2.58s 0.75s
% Output   : Refutation 2.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  104 (   5 unt;   0 def)
%            Number of atoms       :  330 (  12 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  352 ( 126   ~; 136   |;  58   &)
%                                         (  21 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   7 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :  153 ( 139   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f457,plain,
    $false,
    inference(avatar_sat_refutation,[],[f206,f224,f385,f399,f417,f432,f456]) ).

fof(f456,plain,
    ( spl15_6
    | ~ spl15_5
    | ~ spl15_3 ),
    inference(avatar_split_clause,[],[f453,f378,f392,f396]) ).

fof(f396,plain,
    ( spl15_6
  <=> member(sK10(sK14,sum(suc(sK14))),sK14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).

fof(f392,plain,
    ( spl15_5
  <=> member(sK10(sK14,sum(suc(sK14))),sum(suc(sK14))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).

fof(f378,plain,
    ( spl15_3
  <=> member(sK13(suc(sK14),sK10(sK14,sum(suc(sK14)))),sK14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).

fof(f453,plain,
    ( ~ member(sK10(sK14,sum(suc(sK14))),sum(suc(sK14)))
    | member(sK10(sK14,sum(suc(sK14))),sK14)
    | ~ spl15_3 ),
    inference(resolution,[],[f445,f174]) ).

fof(f174,plain,
    ! [X0,X1] :
      ( member(X1,sK13(X0,X1))
      | ~ member(X1,sum(X0)) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( ( ( member(X1,sK13(X0,X1))
          & member(sK13(X0,X1),X0) )
        | ~ member(X1,sum(X0)) )
      & ( member(X1,sum(X0))
        | ! [X3] :
            ( ~ member(X1,X3)
            | ~ member(X3,X0) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f107,f108]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( member(X1,X2)
          & member(X2,X0) )
     => ( member(X1,sK13(X0,X1))
        & member(sK13(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( ( ? [X2] :
            ( member(X1,X2)
            & member(X2,X0) )
        | ~ member(X1,sum(X0)) )
      & ( member(X1,sum(X0))
        | ! [X3] :
            ( ~ member(X1,X3)
            | ~ member(X3,X0) ) ) ),
    inference(rectify,[],[f106]) ).

fof(f106,plain,
    ! [X1,X0] :
      ( ( ? [X2] :
            ( member(X0,X2)
            & member(X2,X1) )
        | ~ member(X0,sum(X1)) )
      & ( member(X0,sum(X1))
        | ! [X2] :
            ( ~ member(X0,X2)
            | ~ member(X2,X1) ) ) ),
    inference(nnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X1,X0] :
      ( ? [X2] :
          ( member(X0,X2)
          & member(X2,X1) )
    <=> member(X0,sum(X1)) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X2,X0] :
      ( member(X2,sum(X0))
    <=> ? [X4] :
          ( member(X2,X4)
          & member(X4,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum) ).

fof(f445,plain,
    ( ! [X0] :
        ( ~ member(X0,sK13(suc(sK14),sK10(sK14,sum(suc(sK14)))))
        | member(X0,sK14) )
    | ~ spl15_3 ),
    inference(resolution,[],[f433,f155]) ).

fof(f155,plain,
    ! [X3,X0,X1] :
      ( ~ subset(X1,X0)
      | member(X3,X0)
      | ~ member(X3,X1) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( ( subset(X1,X0)
        | ( ~ member(sK10(X0,X1),X0)
          & member(sK10(X0,X1),X1) ) )
      & ( ! [X3] :
            ( member(X3,X0)
            | ~ member(X3,X1) )
        | ~ subset(X1,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f90,f91]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ member(X2,X0)
          & member(X2,X1) )
     => ( ~ member(sK10(X0,X1),X0)
        & member(sK10(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ( subset(X1,X0)
        | ? [X2] :
            ( ~ member(X2,X0)
            & member(X2,X1) ) )
      & ( ! [X3] :
            ( member(X3,X0)
            | ~ member(X3,X1) )
        | ~ subset(X1,X0) ) ),
    inference(rectify,[],[f89]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( ( subset(X1,X0)
        | ? [X2] :
            ( ~ member(X2,X0)
            & member(X2,X1) ) )
      & ( ! [X2] :
            ( member(X2,X0)
            | ~ member(X2,X1) )
        | ~ subset(X1,X0) ) ),
    inference(nnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( subset(X1,X0)
    <=> ! [X2] :
          ( member(X2,X0)
          | ~ member(X2,X1) ) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X1,X0] :
      ( subset(X1,X0)
    <=> ! [X2] :
          ( member(X2,X1)
         => member(X2,X0) ) ),
    inference(rectify,[],[f1]) ).

fof(f1,axiom,
    ! [X1,X0] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).

fof(f433,plain,
    ( subset(sK13(suc(sK14),sK10(sK14,sum(suc(sK14)))),sK14)
    | ~ spl15_3 ),
    inference(resolution,[],[f380,f196]) ).

fof(f196,plain,
    ! [X0] :
      ( ~ member(X0,sK14)
      | subset(X0,sK14) ),
    inference(resolution,[],[f168,f179]) ).

fof(f179,plain,
    member(sK14,on),
    inference(cnf_transformation,[],[f114]) ).

fof(f114,plain,
    ( member(sK14,on)
    & ~ equal_set(sum(suc(sK14)),sK14) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f56,f113]) ).

fof(f113,plain,
    ( ? [X0] :
        ( member(X0,on)
        & ~ equal_set(sum(suc(X0)),X0) )
   => ( member(sK14,on)
      & ~ equal_set(sum(suc(sK14)),sK14) ) ),
    introduced(choice_axiom,[]) ).

fof(f56,plain,
    ? [X0] :
      ( member(X0,on)
      & ~ equal_set(sum(suc(X0)),X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,negated_conjecture,
    ~ ! [X0] :
        ( member(X0,on)
       => equal_set(sum(suc(X0)),X0) ),
    inference(negated_conjecture,[],[f21]) ).

fof(f21,conjecture,
    ! [X0] :
      ( member(X0,on)
     => equal_set(sum(suc(X0)),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thV15) ).

fof(f168,plain,
    ! [X0,X1] :
      ( ~ member(X0,on)
      | subset(X1,X0)
      | ~ member(X1,X0) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    ! [X0] :
      ( ( ( set(X0)
          & strict_well_order(member_predicate,X0)
          & ! [X1] :
              ( ~ member(X1,X0)
              | subset(X1,X0) ) )
        | ~ member(X0,on) )
      & ( member(X0,on)
        | ~ set(X0)
        | ~ strict_well_order(member_predicate,X0)
        | ( member(sK12(X0),X0)
          & ~ subset(sK12(X0),X0) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f102,f103]) ).

fof(f103,plain,
    ! [X0] :
      ( ? [X2] :
          ( member(X2,X0)
          & ~ subset(X2,X0) )
     => ( member(sK12(X0),X0)
        & ~ subset(sK12(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f102,plain,
    ! [X0] :
      ( ( ( set(X0)
          & strict_well_order(member_predicate,X0)
          & ! [X1] :
              ( ~ member(X1,X0)
              | subset(X1,X0) ) )
        | ~ member(X0,on) )
      & ( member(X0,on)
        | ~ set(X0)
        | ~ strict_well_order(member_predicate,X0)
        | ? [X2] :
            ( member(X2,X0)
            & ~ subset(X2,X0) ) ) ),
    inference(rectify,[],[f101]) ).

fof(f101,plain,
    ! [X0] :
      ( ( ( set(X0)
          & strict_well_order(member_predicate,X0)
          & ! [X1] :
              ( ~ member(X1,X0)
              | subset(X1,X0) ) )
        | ~ member(X0,on) )
      & ( member(X0,on)
        | ~ set(X0)
        | ~ strict_well_order(member_predicate,X0)
        | ? [X1] :
            ( member(X1,X0)
            & ~ subset(X1,X0) ) ) ),
    inference(flattening,[],[f100]) ).

fof(f100,plain,
    ! [X0] :
      ( ( ( set(X0)
          & strict_well_order(member_predicate,X0)
          & ! [X1] :
              ( ~ member(X1,X0)
              | subset(X1,X0) ) )
        | ~ member(X0,on) )
      & ( member(X0,on)
        | ~ set(X0)
        | ~ strict_well_order(member_predicate,X0)
        | ? [X1] :
            ( member(X1,X0)
            & ~ subset(X1,X0) ) ) ),
    inference(nnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0] :
      ( ( set(X0)
        & strict_well_order(member_predicate,X0)
        & ! [X1] :
            ( ~ member(X1,X0)
            | subset(X1,X0) ) )
    <=> member(X0,on) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0] :
      ( member(X0,on)
    <=> ( set(X0)
        & ! [X1] :
            ( member(X1,X0)
           => subset(X1,X0) )
        & strict_well_order(member_predicate,X0) ) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( ( ! [X2] :
            ( member(X2,X0)
           => subset(X2,X0) )
        & strict_well_order(member_predicate,X0)
        & set(X0) )
    <=> member(X0,on) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordinal_number) ).

fof(f380,plain,
    ( member(sK13(suc(sK14),sK10(sK14,sum(suc(sK14)))),sK14)
    | ~ spl15_3 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f432,plain,
    ( spl15_2
    | ~ spl15_6 ),
    inference(avatar_contradiction_clause,[],[f418]) ).

fof(f418,plain,
    ( $false
    | spl15_2
    | ~ spl15_6 ),
    inference(resolution,[],[f398,f226]) ).

fof(f226,plain,
    ( ~ member(sK10(sK14,sum(suc(sK14))),sK14)
    | spl15_2 ),
    inference(resolution,[],[f205,f157]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( subset(X1,X0)
      | ~ member(sK10(X0,X1),X0) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f205,plain,
    ( ~ subset(sum(suc(sK14)),sK14)
    | spl15_2 ),
    inference(avatar_component_clause,[],[f203]) ).

fof(f203,plain,
    ( spl15_2
  <=> subset(sum(suc(sK14)),sK14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).

fof(f398,plain,
    ( member(sK10(sK14,sum(suc(sK14))),sK14)
    | ~ spl15_6 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f417,plain,
    ( spl15_6
    | spl15_2
    | spl15_5 ),
    inference(avatar_split_clause,[],[f413,f392,f203,f396]) ).

fof(f413,plain,
    ( member(sK10(sK14,sum(suc(sK14))),sK14)
    | spl15_2
    | spl15_5 ),
    inference(resolution,[],[f394,f266]) ).

fof(f266,plain,
    ( ! [X46] :
        ( member(sK10(X46,sum(suc(sK14))),sum(suc(sK14)))
        | member(sK10(sK14,sum(suc(sK14))),X46) )
    | spl15_2 ),
    inference(resolution,[],[f193,f227]) ).

fof(f227,plain,
    ( member(sK10(sK14,sum(suc(sK14))),sum(suc(sK14)))
    | spl15_2 ),
    inference(resolution,[],[f205,f156]) ).

fof(f156,plain,
    ! [X0,X1] :
      ( subset(X1,X0)
      | member(sK10(X0,X1),X1) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f193,plain,
    ! [X3,X4,X5] :
      ( ~ member(X3,X5)
      | member(X3,X4)
      | member(sK10(X4,X5),X5) ),
    inference(resolution,[],[f155,f156]) ).

fof(f394,plain,
    ( ~ member(sK10(sK14,sum(suc(sK14))),sum(suc(sK14)))
    | spl15_5 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f399,plain,
    ( ~ spl15_5
    | spl15_6
    | ~ spl15_4 ),
    inference(avatar_split_clause,[],[f390,f382,f396,f392]) ).

fof(f382,plain,
    ( spl15_4
  <=> sK14 = sK13(suc(sK14),sK10(sK14,sum(suc(sK14)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).

fof(f390,plain,
    ( member(sK10(sK14,sum(suc(sK14))),sK14)
    | ~ member(sK10(sK14,sum(suc(sK14))),sum(suc(sK14)))
    | ~ spl15_4 ),
    inference(superposition,[],[f174,f384]) ).

fof(f384,plain,
    ( sK14 = sK13(suc(sK14),sK10(sK14,sum(suc(sK14))))
    | ~ spl15_4 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f385,plain,
    ( spl15_3
    | spl15_4
    | spl15_2 ),
    inference(avatar_split_clause,[],[f374,f203,f382,f378]) ).

fof(f374,plain,
    ( sK14 = sK13(suc(sK14),sK10(sK14,sum(suc(sK14))))
    | member(sK13(suc(sK14),sK10(sK14,sum(suc(sK14)))),sK14)
    | spl15_2 ),
    inference(resolution,[],[f365,f230]) ).

fof(f230,plain,
    ( member(sK13(suc(sK14),sK10(sK14,sum(suc(sK14)))),suc(sK14))
    | spl15_2 ),
    inference(resolution,[],[f227,f173]) ).

fof(f173,plain,
    ! [X0,X1] :
      ( ~ member(X1,sum(X0))
      | member(sK13(X0,X1),X0) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f365,plain,
    ! [X3,X4] :
      ( ~ member(X3,suc(X4))
      | member(X3,X4)
      | X3 = X4 ),
    inference(resolution,[],[f239,f148]) ).

fof(f148,plain,
    ! [X0,X1] :
      ( ~ member(X0,singleton(X1))
      | X0 = X1 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( ( member(X0,singleton(X1))
        | X0 != X1 )
      & ( X0 = X1
        | ~ member(X0,singleton(X1)) ) ),
    inference(rectify,[],[f82]) ).

fof(f82,plain,
    ! [X1,X0] :
      ( ( member(X1,singleton(X0))
        | X0 != X1 )
      & ( X0 = X1
        | ~ member(X1,singleton(X0)) ) ),
    inference(nnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X1,X0] :
      ( member(X1,singleton(X0))
    <=> X0 = X1 ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X2] :
      ( member(X2,singleton(X0))
    <=> X0 = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton) ).

fof(f239,plain,
    ! [X6,X7] :
      ( member(X6,singleton(X7))
      | member(X6,X7)
      | ~ member(X6,suc(X7)) ),
    inference(resolution,[],[f182,f159]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( member(X0,union(X1,singleton(X1)))
      | ~ member(X0,suc(X1)) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( ( member(X0,suc(X1))
        | ~ member(X0,union(X1,singleton(X1))) )
      & ( member(X0,union(X1,singleton(X1)))
        | ~ member(X0,suc(X1)) ) ),
    inference(rectify,[],[f93]) ).

fof(f93,plain,
    ! [X1,X0] :
      ( ( member(X1,suc(X0))
        | ~ member(X1,union(X0,singleton(X0))) )
      & ( member(X1,union(X0,singleton(X0)))
        | ~ member(X1,suc(X0)) ) ),
    inference(nnf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X1,X0] :
      ( member(X1,suc(X0))
    <=> member(X1,union(X0,singleton(X0))) ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X0,X2] :
      ( member(X2,suc(X0))
    <=> member(X2,union(X0,singleton(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor) ).

fof(f182,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,union(X1,X2))
      | member(X0,X1)
      | member(X0,X2) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,X2)
        | member(X0,X1)
        | ~ member(X0,union(X1,X2)) )
      & ( member(X0,union(X1,X2))
        | ( ~ member(X0,X2)
          & ~ member(X0,X1) ) ) ),
    inference(rectify,[],[f116]) ).

fof(f116,plain,
    ! [X1,X0,X2] :
      ( ( member(X1,X2)
        | member(X1,X0)
        | ~ member(X1,union(X0,X2)) )
      & ( member(X1,union(X0,X2))
        | ( ~ member(X1,X2)
          & ~ member(X1,X0) ) ) ),
    inference(flattening,[],[f115]) ).

fof(f115,plain,
    ! [X1,X0,X2] :
      ( ( member(X1,X2)
        | member(X1,X0)
        | ~ member(X1,union(X0,X2)) )
      & ( member(X1,union(X0,X2))
        | ( ~ member(X1,X2)
          & ~ member(X1,X0) ) ) ),
    inference(nnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X1,X0,X2] :
      ( ( member(X1,X2)
        | member(X1,X0) )
    <=> member(X1,union(X0,X2)) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X2,X1] :
      ( member(X2,union(X0,X1))
    <=> ( member(X2,X0)
        | member(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).

fof(f224,plain,
    spl15_1,
    inference(avatar_contradiction_clause,[],[f223]) ).

fof(f223,plain,
    ( $false
    | spl15_1 ),
    inference(resolution,[],[f222,f208]) ).

fof(f208,plain,
    ( member(sK10(sum(suc(sK14)),sK14),sK14)
    | spl15_1 ),
    inference(resolution,[],[f201,f156]) ).

fof(f201,plain,
    ( ~ subset(sK14,sum(suc(sK14)))
    | spl15_1 ),
    inference(avatar_component_clause,[],[f199]) ).

fof(f199,plain,
    ( spl15_1
  <=> subset(sK14,sum(suc(sK14))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).

fof(f222,plain,
    ( ~ member(sK10(sum(suc(sK14)),sK14),sK14)
    | spl15_1 ),
    inference(resolution,[],[f219,f189]) ).

fof(f189,plain,
    ! [X1] : member(X1,singleton(X1)),
    inference(equality_resolution,[],[f149]) ).

fof(f149,plain,
    ! [X0,X1] :
      ( member(X0,singleton(X1))
      | X0 != X1 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f219,plain,
    ( ! [X1] :
        ( ~ member(X1,singleton(sK14))
        | ~ member(sK10(sum(suc(sK14)),sK14),X1) )
    | spl15_1 ),
    inference(resolution,[],[f217,f181]) ).

fof(f181,plain,
    ! [X2,X0,X1] :
      ( member(X0,union(X1,X2))
      | ~ member(X0,X2) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f217,plain,
    ( ! [X0] :
        ( ~ member(X0,union(sK14,singleton(sK14)))
        | ~ member(sK10(sum(suc(sK14)),sK14),X0) )
    | spl15_1 ),
    inference(resolution,[],[f216,f160]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( member(X0,suc(X1))
      | ~ member(X0,union(X1,singleton(X1))) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f216,plain,
    ( ! [X3] :
        ( ~ member(X3,suc(sK14))
        | ~ member(sK10(sum(suc(sK14)),sK14),X3) )
    | spl15_1 ),
    inference(resolution,[],[f172,f207]) ).

fof(f207,plain,
    ( ~ member(sK10(sum(suc(sK14)),sK14),sum(suc(sK14)))
    | spl15_1 ),
    inference(resolution,[],[f201,f157]) ).

fof(f172,plain,
    ! [X3,X0,X1] :
      ( member(X1,sum(X0))
      | ~ member(X1,X3)
      | ~ member(X3,X0) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f206,plain,
    ( ~ spl15_1
    | ~ spl15_2 ),
    inference(avatar_split_clause,[],[f197,f203,f199]) ).

fof(f197,plain,
    ( ~ subset(sum(suc(sK14)),sK14)
    | ~ subset(sK14,sum(suc(sK14))) ),
    inference(resolution,[],[f171,f178]) ).

fof(f178,plain,
    ~ equal_set(sum(suc(sK14)),sK14),
    inference(cnf_transformation,[],[f114]) ).

fof(f171,plain,
    ! [X0,X1] :
      ( equal_set(X1,X0)
      | ~ subset(X0,X1)
      | ~ subset(X1,X0) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | equal_set(X1,X0)
      | ~ subset(X1,X0) ),
    inference(rectify,[],[f52]) ).

fof(f52,plain,
    ! [X1,X0] :
      ( ~ subset(X1,X0)
      | equal_set(X0,X1)
      | ~ subset(X0,X1) ),
    inference(flattening,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( equal_set(X0,X1)
      | ~ subset(X0,X1)
      | ~ subset(X1,X0) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        & subset(X1,X0) )
     => equal_set(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        & subset(X1,X0) )
    <=> equal_set(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_set) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SET815+4 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n004.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 14:23:04 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  % (2342)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.21/0.50  % (2333)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.52  % (2322)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)
% 0.21/0.52  % (2325)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)
% 0.21/0.53  % (2339)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.21/0.53  % (2319)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)
% 0.21/0.53  % (2345)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)
% 0.21/0.53  % (2319)Instruction limit reached!
% 0.21/0.53  % (2319)------------------------------
% 0.21/0.53  % (2319)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (2319)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (2319)Termination reason: Unknown
% 0.21/0.53  % (2319)Termination phase: Equality resolution with deletion
% 0.21/0.53  
% 0.21/0.53  % (2319)Memory used [KB]: 1535
% 0.21/0.53  % (2319)Time elapsed: 0.002 s
% 0.21/0.53  % (2319)Instructions burned: 3 (million)
% 0.21/0.53  % (2319)------------------------------
% 0.21/0.53  % (2319)------------------------------
% 0.21/0.53  % (2331)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.53  % (2346)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)
% 0.21/0.53  % (2320)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)
% 0.21/0.53  % (2321)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)
% 0.21/0.54  % (2320)Refutation not found, incomplete strategy% (2320)------------------------------
% 0.21/0.54  % (2320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (2320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (2320)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54  
% 0.21/0.54  % (2320)Memory used [KB]: 5884
% 0.21/0.54  % (2320)Time elapsed: 0.125 s
% 0.21/0.54  % (2320)Instructions burned: 2 (million)
% 0.21/0.54  % (2320)------------------------------
% 0.21/0.54  % (2320)------------------------------
% 0.21/0.54  % (2323)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.54  % (2317)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.54  % (2318)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)
% 0.21/0.54  % (2336)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.21/0.54  % (2324)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)
% 0.21/0.54  % (2326)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.54  % (2322)Instruction limit reached!
% 0.21/0.54  % (2322)------------------------------
% 0.21/0.54  % (2322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (2322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (2322)Termination reason: Unknown
% 0.21/0.54  % (2322)Termination phase: Saturation
% 0.21/0.54  
% 0.21/0.54  % (2322)Memory used [KB]: 1663
% 0.21/0.54  % (2322)Time elapsed: 0.133 s
% 0.21/0.54  % (2322)Instructions burned: 16 (million)
% 0.21/0.54  % (2322)------------------------------
% 0.21/0.54  % (2322)------------------------------
% 0.21/0.54  % (2337)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)
% 0.21/0.55  % (2338)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.55  % (2343)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)
% 0.21/0.55  % (2327)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.21/0.55  % (2344)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)
% 0.21/0.55  % (2335)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.55  % (2329)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)
% 0.21/0.55  % (2332)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.55  % (2341)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.55  % (2335)Instruction limit reached!
% 0.21/0.55  % (2335)------------------------------
% 0.21/0.55  % (2335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (2335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (2335)Termination reason: Unknown
% 0.21/0.55  % (2335)Termination phase: Preprocessing 3
% 0.21/0.55  
% 0.21/0.55  % (2335)Memory used [KB]: 1407
% 0.21/0.55  % (2335)Time elapsed: 0.003 s
% 0.21/0.55  % (2335)Instructions burned: 2 (million)
% 0.21/0.55  % (2335)------------------------------
% 0.21/0.55  % (2335)------------------------------
% 0.21/0.55  % (2330)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.55  % (2328)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.55  % (2331)Instruction limit reached!
% 0.21/0.55  % (2331)------------------------------
% 0.21/0.55  % (2331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (2331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (2331)Termination reason: Unknown
% 0.21/0.55  % (2331)Termination phase: Property scanning
% 0.21/0.55  
% 0.21/0.55  % (2331)Memory used [KB]: 1535
% 0.21/0.55  % (2331)Time elapsed: 0.004 s
% 0.21/0.55  % (2331)Instructions burned: 3 (million)
% 0.21/0.55  % (2331)------------------------------
% 0.21/0.55  % (2331)------------------------------
% 0.21/0.56  % (2321)Instruction limit reached!
% 0.21/0.56  % (2321)------------------------------
% 0.21/0.56  % (2321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (2340)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.21/0.56  % (2334)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.56  % (2345)Instruction limit reached!
% 0.21/0.56  % (2345)------------------------------
% 0.21/0.56  % (2345)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (2345)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (2345)Termination reason: Unknown
% 0.21/0.56  % (2345)Termination phase: Saturation
% 0.21/0.56  
% 0.21/0.56  % (2345)Memory used [KB]: 6140
% 0.21/0.56  % (2345)Time elapsed: 0.152 s
% 0.21/0.56  % (2345)Instructions burned: 9 (million)
% 0.21/0.56  % (2345)------------------------------
% 0.21/0.56  % (2345)------------------------------
% 0.21/0.56  % (2327)Instruction limit reached!
% 0.21/0.56  % (2327)------------------------------
% 0.21/0.56  % (2327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (2327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (2327)Termination reason: Unknown
% 0.21/0.56  % (2327)Termination phase: Saturation
% 0.21/0.56  
% 0.21/0.56  % (2327)Memory used [KB]: 6268
% 0.21/0.56  % (2327)Time elapsed: 0.153 s
% 0.21/0.56  % (2327)Instructions burned: 12 (million)
% 0.21/0.56  % (2327)------------------------------
% 0.21/0.56  % (2327)------------------------------
% 0.21/0.56  % (2321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (2321)Termination reason: Unknown
% 0.21/0.56  % (2321)Termination phase: Saturation
% 0.21/0.56  
% 0.21/0.56  % (2321)Memory used [KB]: 6268
% 0.21/0.56  % (2321)Time elapsed: 0.132 s
% 0.21/0.56  % (2321)Instructions burned: 13 (million)
% 0.21/0.56  % (2321)------------------------------
% 0.21/0.56  % (2321)------------------------------
% 0.21/0.56  % (2336)Instruction limit reached!
% 0.21/0.56  % (2336)------------------------------
% 0.21/0.56  % (2336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (2336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (2336)Termination reason: Unknown
% 0.21/0.56  % (2336)Termination phase: Saturation
% 0.21/0.56  
% 0.21/0.56  % (2336)Memory used [KB]: 6140
% 0.21/0.56  % (2336)Time elapsed: 0.134 s
% 0.21/0.56  % (2336)Instructions burned: 12 (million)
% 0.21/0.56  % (2336)------------------------------
% 0.21/0.56  % (2336)------------------------------
% 0.21/0.56  % (2318)Instruction limit reached!
% 0.21/0.56  % (2318)------------------------------
% 0.21/0.56  % (2318)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (2318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (2318)Termination reason: Unknown
% 0.21/0.56  % (2318)Termination phase: Saturation
% 0.21/0.56  
% 0.21/0.56  % (2318)Memory used [KB]: 6268
% 0.21/0.56  % (2318)Time elapsed: 0.131 s
% 0.21/0.56  % (2318)Instructions burned: 14 (million)
% 0.21/0.56  % (2318)------------------------------
% 0.21/0.56  % (2318)------------------------------
% 0.21/0.56  % (2334)Instruction limit reached!
% 0.21/0.56  % (2334)------------------------------
% 0.21/0.56  % (2334)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (2334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (2329)Instruction limit reached!
% 0.21/0.56  % (2329)------------------------------
% 0.21/0.56  % (2329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (2334)Termination reason: Unknown
% 0.21/0.56  % (2334)Termination phase: Finite model building preprocessing
% 0.21/0.56  
% 0.21/0.56  % (2329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (2329)Termination reason: Unknown
% 0.21/0.56  % (2329)Termination phase: Saturation
% 0.21/0.56  % (2334)Memory used [KB]: 1535
% 0.21/0.56  
% 0.21/0.56  % (2334)Time elapsed: 0.004 s
% 0.21/0.56  % (2334)Instructions burned: 4 (million)
% 0.21/0.56  % (2329)Memory used [KB]: 1791
% 0.21/0.56  % (2334)------------------------------
% 0.21/0.56  % (2334)------------------------------
% 0.21/0.56  % (2329)Time elapsed: 0.146 s
% 0.21/0.56  % (2329)Instructions burned: 17 (million)
% 0.21/0.56  % (2329)------------------------------
% 0.21/0.56  % (2329)------------------------------
% 0.21/0.57  % (2332)Instruction limit reached!
% 0.21/0.57  % (2332)------------------------------
% 0.21/0.57  % (2332)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (2332)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (2332)Termination reason: Unknown
% 0.21/0.57  % (2332)Termination phase: Saturation
% 0.21/0.57  
% 0.21/0.57  % (2332)Memory used [KB]: 6140
% 0.21/0.57  % (2332)Time elapsed: 0.123 s
% 0.21/0.57  % (2332)Instructions burned: 8 (million)
% 0.21/0.57  % (2332)------------------------------
% 0.21/0.57  % (2332)------------------------------
% 0.21/0.57  % (2328)Instruction limit reached!
% 0.21/0.57  % (2328)------------------------------
% 0.21/0.57  % (2328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (2328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (2328)Termination reason: Unknown
% 0.21/0.57  % (2328)Termination phase: Saturation
% 0.21/0.57  
% 0.21/0.57  % (2328)Memory used [KB]: 6140
% 0.21/0.57  % (2328)Time elapsed: 0.156 s
% 0.21/0.57  % (2328)Instructions burned: 8 (million)
% 0.21/0.57  % (2328)------------------------------
% 0.21/0.57  % (2328)------------------------------
% 0.21/0.58  % (2344)Instruction limit reached!
% 0.21/0.58  % (2344)------------------------------
% 0.21/0.58  % (2344)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58  % (2344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58  % (2344)Termination reason: Unknown
% 0.21/0.58  % (2344)Termination phase: Saturation
% 0.21/0.58  
% 0.21/0.58  % (2344)Memory used [KB]: 6396
% 0.21/0.58  % (2344)Time elapsed: 0.156 s
% 0.21/0.58  % (2344)Instructions burned: 25 (million)
% 0.21/0.58  % (2344)------------------------------
% 0.21/0.58  % (2344)------------------------------
% 0.21/0.58  % (2346)Instruction limit reached!
% 0.21/0.58  % (2346)------------------------------
% 0.21/0.58  % (2346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58  % (2346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58  % (2346)Termination reason: Unknown
% 0.21/0.58  % (2346)Termination phase: Saturation
% 0.21/0.58  
% 0.21/0.58  % (2346)Memory used [KB]: 6396
% 0.21/0.58  % (2346)Time elapsed: 0.164 s
% 0.21/0.58  % (2346)Instructions burned: 24 (million)
% 0.21/0.58  % (2346)------------------------------
% 0.21/0.58  % (2346)------------------------------
% 0.21/0.58  % (2323)Instruction limit reached!
% 0.21/0.58  % (2323)------------------------------
% 0.21/0.58  % (2323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58  % (2323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58  % (2323)Termination reason: Unknown
% 0.21/0.58  % (2323)Termination phase: Saturation
% 0.21/0.58  
% 0.21/0.58  % (2323)Memory used [KB]: 6524
% 0.21/0.58  % (2323)Time elapsed: 0.140 s
% 0.21/0.58  % (2323)Instructions burned: 40 (million)
% 0.21/0.58  % (2323)------------------------------
% 0.21/0.58  % (2323)------------------------------
% 0.21/0.59  % (2326)Instruction limit reached!
% 0.21/0.59  % (2326)------------------------------
% 0.21/0.59  % (2326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59  % (2326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59  % (2326)Termination reason: Unknown
% 0.21/0.59  % (2326)Termination phase: Saturation
% 0.21/0.59  
% 0.21/0.59  % (2326)Memory used [KB]: 6524
% 0.21/0.59  % (2326)Time elapsed: 0.186 s
% 0.21/0.59  % (2326)Instructions burned: 34 (million)
% 0.21/0.59  % (2326)------------------------------
% 0.21/0.59  % (2326)------------------------------
% 0.21/0.60  % (2337)Instruction limit reached!
% 0.21/0.60  % (2337)------------------------------
% 0.21/0.60  % (2337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60  % (2337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.60  % (2337)Termination reason: Unknown
% 0.21/0.60  % (2337)Termination phase: Saturation
% 0.21/0.60  
% 0.21/0.60  % (2337)Memory used [KB]: 6396
% 0.21/0.60  % (2337)Time elapsed: 0.191 s
% 0.21/0.60  % (2337)Instructions burned: 30 (million)
% 0.21/0.60  % (2337)------------------------------
% 0.21/0.60  % (2337)------------------------------
% 1.86/0.61  % (2333)Instruction limit reached!
% 1.86/0.61  % (2333)------------------------------
% 1.86/0.61  % (2333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.61  % (2333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.61  % (2333)Termination reason: Unknown
% 1.86/0.61  % (2333)Termination phase: Saturation
% 1.86/0.61  
% 1.86/0.61  % (2333)Memory used [KB]: 6780
% 1.86/0.61  % (2333)Time elapsed: 0.182 s
% 1.86/0.61  % (2333)Instructions burned: 51 (million)
% 1.86/0.61  % (2333)------------------------------
% 1.86/0.61  % (2333)------------------------------
% 2.09/0.63  % (2330)Refutation not found, non-redundant clauses discarded% (2330)------------------------------
% 2.09/0.63  % (2330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.63  % (2330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.63  % (2330)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.09/0.63  
% 2.09/0.63  % (2330)Memory used [KB]: 7291
% 2.09/0.63  % (2330)Time elapsed: 0.213 s
% 2.09/0.63  % (2330)Instructions burned: 50 (million)
% 2.09/0.63  % (2330)------------------------------
% 2.09/0.63  % (2330)------------------------------
% 2.09/0.63  % (2324)Instruction limit reached!
% 2.09/0.63  % (2324)------------------------------
% 2.09/0.63  % (2324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.63  % (2324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.63  % (2324)Termination reason: Unknown
% 2.09/0.63  % (2324)Termination phase: Saturation
% 2.09/0.63  
% 2.09/0.63  % (2324)Memory used [KB]: 6652
% 2.09/0.63  % (2324)Time elapsed: 0.215 s
% 2.09/0.63  % (2324)Instructions burned: 40 (million)
% 2.09/0.63  % (2324)------------------------------
% 2.09/0.63  % (2324)------------------------------
% 2.09/0.63  % (2325)Instruction limit reached!
% 2.09/0.63  % (2325)------------------------------
% 2.09/0.63  % (2325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.63  % (2325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.63  % (2325)Termination reason: Unknown
% 2.09/0.63  % (2325)Termination phase: Saturation
% 2.09/0.63  
% 2.09/0.63  % (2325)Memory used [KB]: 6780
% 2.09/0.63  % (2325)Time elapsed: 0.224 s
% 2.09/0.63  % (2325)Instructions burned: 51 (million)
% 2.09/0.63  % (2325)------------------------------
% 2.09/0.63  % (2325)------------------------------
% 2.09/0.64  % (2340)Instruction limit reached!
% 2.09/0.64  % (2340)------------------------------
% 2.09/0.64  % (2340)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.64  % (2340)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.64  % (2340)Termination reason: Unknown
% 2.09/0.64  % (2340)Termination phase: Saturation
% 2.09/0.64  
% 2.09/0.64  % (2340)Memory used [KB]: 2046
% 2.09/0.64  % (2340)Time elapsed: 0.218 s
% 2.09/0.64  % (2340)Instructions burned: 46 (million)
% 2.09/0.64  % (2340)------------------------------
% 2.09/0.64  % (2340)------------------------------
% 2.25/0.65  % (2341)Instruction limit reached!
% 2.25/0.65  % (2341)------------------------------
% 2.25/0.65  % (2341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.65  % (2341)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.65  % (2341)Termination reason: Unknown
% 2.25/0.65  % (2341)Termination phase: Saturation
% 2.25/0.65  
% 2.25/0.65  % (2341)Memory used [KB]: 6780
% 2.25/0.65  % (2341)Time elapsed: 0.225 s
% 2.25/0.65  % (2341)Instructions burned: 51 (million)
% 2.25/0.65  % (2341)------------------------------
% 2.25/0.65  % (2341)------------------------------
% 2.25/0.66  % (2339)Instruction limit reached!
% 2.25/0.66  % (2339)------------------------------
% 2.25/0.66  % (2339)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.66  % (2339)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.66  % (2339)Termination reason: Unknown
% 2.25/0.66  % (2339)Termination phase: Saturation
% 2.25/0.66  
% 2.25/0.66  % (2339)Memory used [KB]: 8059
% 2.25/0.66  % (2339)Time elapsed: 0.201 s
% 2.25/0.66  % (2339)Instructions burned: 83 (million)
% 2.25/0.66  % (2339)------------------------------
% 2.25/0.66  % (2339)------------------------------
% 2.25/0.67  % (2348)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 2.25/0.67  % (2350)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 2.25/0.67  % (2342)Instruction limit reached!
% 2.25/0.67  % (2342)------------------------------
% 2.25/0.67  % (2342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.67  % (2342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.67  % (2342)Termination reason: Unknown
% 2.25/0.67  % (2342)Termination phase: Saturation
% 2.25/0.67  
% 2.25/0.67  % (2342)Memory used [KB]: 7675
% 2.25/0.67  % (2342)Time elapsed: 0.246 s
% 2.25/0.67  % (2342)Instructions burned: 95 (million)
% 2.25/0.67  % (2342)------------------------------
% 2.25/0.67  % (2342)------------------------------
% 2.25/0.67  % (2348)Instruction limit reached!
% 2.25/0.67  % (2348)------------------------------
% 2.25/0.67  % (2348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.67  % (2348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.67  % (2348)Termination reason: Unknown
% 2.25/0.67  % (2348)Termination phase: Saturation
% 2.25/0.67  
% 2.25/0.67  % (2348)Memory used [KB]: 10618
% 2.25/0.67  % (2348)Time elapsed: 0.088 s
% 2.25/0.67  % (2348)Instructions burned: 7 (million)
% 2.25/0.67  % (2348)------------------------------
% 2.25/0.67  % (2348)------------------------------
% 2.25/0.68  % (2356)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/68Mi)
% 2.25/0.69  % (2351)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 2.25/0.69  % (2358)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 (2998ds/131Mi)
% 2.25/0.69  % (2357)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/84Mi)
% 2.25/0.69  % (2352)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 2.25/0.69  % (2347)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 2.25/0.69  % (2357)Refutation not found, incomplete strategy% (2357)------------------------------
% 2.25/0.69  % (2357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.69  % (2357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.69  % (2357)Termination reason: Refutation not found, incomplete strategy
% 2.25/0.69  
% 2.25/0.69  % (2357)Memory used [KB]: 6012
% 2.25/0.69  % (2357)Time elapsed: 0.094 s
% 2.25/0.69  % (2357)Instructions burned: 2 (million)
% 2.25/0.69  % (2357)------------------------------
% 2.25/0.69  % (2357)------------------------------
% 2.25/0.69  % (2347)Refutation not found, incomplete strategy% (2347)------------------------------
% 2.25/0.69  % (2347)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.69  % (2347)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.69  % (2347)Termination reason: Refutation not found, incomplete strategy
% 2.25/0.69  
% 2.25/0.69  % (2347)Memory used [KB]: 6012
% 2.25/0.69  % (2347)Time elapsed: 0.123 s
% 2.25/0.69  % (2347)Instructions burned: 3 (million)
% 2.25/0.69  % (2347)------------------------------
% 2.25/0.69  % (2347)------------------------------
% 2.25/0.70  % (2354)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/42Mi)
% 2.25/0.70  % (2353)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/141Mi)
% 2.25/0.70  % (2353)Refutation not found, incomplete strategy% (2353)------------------------------
% 2.25/0.70  % (2353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.70  % (2353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.70  % (2353)Termination reason: Refutation not found, incomplete strategy
% 2.25/0.70  
% 2.25/0.70  % (2353)Memory used [KB]: 5884
% 2.25/0.70  % (2353)Time elapsed: 0.105 s
% 2.25/0.70  % (2353)Instructions burned: 2 (million)
% 2.25/0.70  % (2353)------------------------------
% 2.25/0.70  % (2353)------------------------------
% 2.25/0.70  % (2349)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 2.25/0.70  % (2355)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/31Mi)
% 2.25/0.71  % (2355)Refutation not found, incomplete strategy% (2355)------------------------------
% 2.25/0.71  % (2355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.71  % (2355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.71  % (2355)Termination reason: Refutation not found, incomplete strategy
% 2.25/0.71  
% 2.25/0.71  % (2355)Memory used [KB]: 6012
% 2.25/0.71  % (2355)Time elapsed: 0.112 s
% 2.25/0.71  % (2355)Instructions burned: 3 (million)
% 2.25/0.71  % (2355)------------------------------
% 2.25/0.71  % (2355)------------------------------
% 2.25/0.71  % (2360)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 2.25/0.71  % (2361)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 2.25/0.72  % (2359)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/93Mi)
% 2.58/0.72  % (2363)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 (2997ds/32Mi)
% 2.58/0.72  % (2365)ott+10_1:1_ep=R:sd=1:sos=all:ss=axioms:i=66:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/66Mi)
% 2.58/0.72  % (2362)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 2.58/0.72  % (2343)Instruction limit reached!
% 2.58/0.72  % (2343)------------------------------
% 2.58/0.72  % (2343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.72  % (2343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.72  % (2343)Termination reason: Unknown
% 2.58/0.72  % (2343)Termination phase: Saturation
% 2.58/0.72  
% 2.58/0.72  % (2343)Memory used [KB]: 7419
% 2.58/0.72  % (2343)Time elapsed: 0.314 s
% 2.58/0.72  % (2343)Instructions burned: 99 (million)
% 2.58/0.72  % (2343)------------------------------
% 2.58/0.72  % (2343)------------------------------
% 2.58/0.72  % (2338)Instruction limit reached!
% 2.58/0.72  % (2338)------------------------------
% 2.58/0.72  % (2338)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.72  % (2338)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.72  % (2338)Termination reason: Unknown
% 2.58/0.72  % (2338)Termination phase: Saturation
% 2.58/0.72  
% 2.58/0.72  % (2338)Memory used [KB]: 8187
% 2.58/0.72  % (2338)Time elapsed: 0.321 s
% 2.58/0.72  % (2338)Instructions burned: 99 (million)
% 2.58/0.72  % (2338)------------------------------
% 2.58/0.72  % (2338)------------------------------
% 2.58/0.73  % (2354)First to succeed.
% 2.58/0.73  % (2364)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 2.58/0.74  % (2362)Instruction limit reached!
% 2.58/0.74  % (2362)------------------------------
% 2.58/0.74  % (2362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.74  % (2362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.74  % (2362)Termination reason: Unknown
% 2.58/0.74  % (2362)Termination phase: Saturation
% 2.58/0.74  
% 2.58/0.74  % (2362)Memory used [KB]: 6268
% 2.58/0.74  % (2362)Time elapsed: 0.133 s
% 2.58/0.74  % (2362)Instructions burned: 16 (million)
% 2.58/0.74  % (2362)------------------------------
% 2.58/0.74  % (2362)------------------------------
% 2.58/0.75  % (2354)Refutation found. Thanks to Tanya!
% 2.58/0.75  % SZS status Theorem for theBenchmark
% 2.58/0.75  % SZS output start Proof for theBenchmark
% See solution above
% 2.58/0.75  % (2354)------------------------------
% 2.58/0.75  % (2354)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.75  % (2354)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.75  % (2354)Termination reason: Refutation
% 2.58/0.75  
% 2.58/0.75  % (2354)Memory used [KB]: 6268
% 2.58/0.75  % (2354)Time elapsed: 0.137 s
% 2.58/0.75  % (2354)Instructions burned: 18 (million)
% 2.58/0.75  % (2354)------------------------------
% 2.58/0.75  % (2354)------------------------------
% 2.58/0.75  % (2316)Success in time 0.39 s
%------------------------------------------------------------------------------