TSTP Solution File: SEU180+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU180+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n021.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 18:27:09 EDT 2022

% Result   : Theorem 0.20s 0.56s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   66 (  15 unt;   0 def)
%            Number of atoms       :  283 (  41 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  347 ( 130   ~; 129   |;  59   &)
%                                         (  12 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   3 con; 0-3 aty)
%            Number of variables   :  190 ( 151   !;  39   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f225,plain,
    $false,
    inference(subsumption_resolution,[],[f218,f211]) ).

fof(f211,plain,
    ~ in(sK11,relation_dom(sK12)),
    inference(resolution,[],[f208,f152]) ).

fof(f152,plain,
    ! [X2,X1,X4] :
      ( in(X4,set_union2(X2,X1))
      | ~ in(X4,X2) ),
    inference(equality_resolution,[],[f110]) ).

fof(f110,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X0)
      | ~ in(X4,X2)
      | set_union2(X2,X1) != X0 ),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X2,X1) = X0
        | ( ( ~ in(sK4(X0,X1,X2),X0)
            | ( ~ in(sK4(X0,X1,X2),X2)
              & ~ in(sK4(X0,X1,X2),X1) ) )
          & ( in(sK4(X0,X1,X2),X0)
            | in(sK4(X0,X1,X2),X2)
            | in(sK4(X0,X1,X2),X1) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | in(X4,X1)
              | ~ in(X4,X0) )
            & ( in(X4,X0)
              | ( ~ in(X4,X2)
                & ~ in(X4,X1) ) ) )
        | set_union2(X2,X1) != X0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f73,f74]) ).

fof(f74,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ~ in(X3,X0)
            | ( ~ in(X3,X2)
              & ~ in(X3,X1) ) )
          & ( in(X3,X0)
            | in(X3,X2)
            | in(X3,X1) ) )
     => ( ( ~ in(sK4(X0,X1,X2),X0)
          | ( ~ in(sK4(X0,X1,X2),X2)
            & ~ in(sK4(X0,X1,X2),X1) ) )
        & ( in(sK4(X0,X1,X2),X0)
          | in(sK4(X0,X1,X2),X2)
          | in(sK4(X0,X1,X2),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f73,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X2,X1) = X0
        | ? [X3] :
            ( ( ~ in(X3,X0)
              | ( ~ in(X3,X2)
                & ~ in(X3,X1) ) )
            & ( in(X3,X0)
              | in(X3,X2)
              | in(X3,X1) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | in(X4,X1)
              | ~ in(X4,X0) )
            & ( in(X4,X0)
              | ( ~ in(X4,X2)
                & ~ in(X4,X1) ) ) )
        | set_union2(X2,X1) != X0 ) ),
    inference(rectify,[],[f72]) ).

fof(f72,plain,
    ! [X1,X0,X2] :
      ( ( set_union2(X2,X0) = X1
        | ? [X3] :
            ( ( ~ in(X3,X1)
              | ( ~ in(X3,X2)
                & ~ in(X3,X0) ) )
            & ( in(X3,X1)
              | in(X3,X2)
              | in(X3,X0) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | in(X3,X0)
              | ~ in(X3,X1) )
            & ( in(X3,X1)
              | ( ~ in(X3,X2)
                & ~ in(X3,X0) ) ) )
        | set_union2(X2,X0) != X1 ) ),
    inference(flattening,[],[f71]) ).

fof(f71,plain,
    ! [X1,X0,X2] :
      ( ( set_union2(X2,X0) = X1
        | ? [X3] :
            ( ( ~ in(X3,X1)
              | ( ~ in(X3,X2)
                & ~ in(X3,X0) ) )
            & ( in(X3,X1)
              | in(X3,X2)
              | in(X3,X0) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | in(X3,X0)
              | ~ in(X3,X1) )
            & ( in(X3,X1)
              | ( ~ in(X3,X2)
                & ~ in(X3,X0) ) ) )
        | set_union2(X2,X0) != X1 ) ),
    inference(nnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X1,X0,X2] :
      ( set_union2(X2,X0) = X1
    <=> ! [X3] :
          ( ( in(X3,X2)
            | in(X3,X0) )
        <=> in(X3,X1) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X1,X2,X0] :
      ( ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X0)
            | in(X3,X1) ) )
    <=> set_union2(X0,X1) = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).

fof(f208,plain,
    ~ in(sK11,set_union2(relation_dom(sK12),relation_rng(sK12))),
    inference(resolution,[],[f201,f173]) ).

fof(f173,plain,
    ( ~ in(sK10,relation_rng(sK12))
    | ~ in(sK11,set_union2(relation_dom(sK12),relation_rng(sK12))) ),
    inference(resolution,[],[f172,f153]) ).

fof(f153,plain,
    ! [X2,X1,X4] :
      ( in(X4,set_union2(X2,X1))
      | ~ in(X4,X1) ),
    inference(equality_resolution,[],[f109]) ).

fof(f109,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X0)
      | ~ in(X4,X1)
      | set_union2(X2,X1) != X0 ),
    inference(cnf_transformation,[],[f75]) ).

fof(f172,plain,
    ( ~ in(sK10,set_union2(relation_dom(sK12),relation_rng(sK12)))
    | ~ in(sK11,set_union2(relation_dom(sK12),relation_rng(sK12))) ),
    inference(forward_demodulation,[],[f171,f157]) ).

fof(f157,plain,
    relation_field(sK12) = set_union2(relation_dom(sK12),relation_rng(sK12)),
    inference(resolution,[],[f130,f98]) ).

fof(f98,plain,
    ! [X0] :
      ( ~ relation(X0)
      | relation_field(X0) = set_union2(relation_dom(X0),relation_rng(X0)) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0] :
      ( ~ relation(X0)
      | relation_field(X0) = set_union2(relation_dom(X0),relation_rng(X0)) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( relation(X0)
     => relation_field(X0) = set_union2(relation_dom(X0),relation_rng(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_relat_1) ).

fof(f130,plain,
    relation(sK12),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ( ( ~ in(sK10,relation_field(sK12))
      | ~ in(sK11,relation_field(sK12)) )
    & relation(sK12)
    & in(ordered_pair(sK11,sK10),sK12) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f48,f92]) ).

fof(f92,plain,
    ( ? [X0,X1,X2] :
        ( ( ~ in(X0,relation_field(X2))
          | ~ in(X1,relation_field(X2)) )
        & relation(X2)
        & in(ordered_pair(X1,X0),X2) )
   => ( ( ~ in(sK10,relation_field(sK12))
        | ~ in(sK11,relation_field(sK12)) )
      & relation(sK12)
      & in(ordered_pair(sK11,sK10),sK12) ) ),
    introduced(choice_axiom,[]) ).

fof(f48,plain,
    ? [X0,X1,X2] :
      ( ( ~ in(X0,relation_field(X2))
        | ~ in(X1,relation_field(X2)) )
      & relation(X2)
      & in(ordered_pair(X1,X0),X2) ),
    inference(flattening,[],[f47]) ).

fof(f47,plain,
    ? [X0,X1,X2] :
      ( ( ~ in(X0,relation_field(X2))
        | ~ in(X1,relation_field(X2)) )
      & in(ordered_pair(X1,X0),X2)
      & relation(X2) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,plain,
    ~ ! [X0,X1,X2] :
        ( relation(X2)
       => ( in(ordered_pair(X1,X0),X2)
         => ( in(X0,relation_field(X2))
            & in(X1,relation_field(X2)) ) ) ),
    inference(rectify,[],[f34]) ).

fof(f34,negated_conjecture,
    ~ ! [X1,X0,X2] :
        ( relation(X2)
       => ( in(ordered_pair(X0,X1),X2)
         => ( in(X0,relation_field(X2))
            & in(X1,relation_field(X2)) ) ) ),
    inference(negated_conjecture,[],[f33]) ).

fof(f33,conjecture,
    ! [X1,X0,X2] :
      ( relation(X2)
     => ( in(ordered_pair(X0,X1),X2)
       => ( in(X0,relation_field(X2))
          & in(X1,relation_field(X2)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_relat_1) ).

fof(f171,plain,
    ( ~ in(sK10,relation_field(sK12))
    | ~ in(sK11,set_union2(relation_dom(sK12),relation_rng(sK12))) ),
    inference(backward_demodulation,[],[f131,f157]) ).

fof(f131,plain,
    ( ~ in(sK10,relation_field(sK12))
    | ~ in(sK11,relation_field(sK12)) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f201,plain,
    in(sK10,relation_rng(sK12)),
    inference(resolution,[],[f177,f156]) ).

fof(f156,plain,
    in(unordered_pair(singleton(sK11),unordered_pair(sK11,sK10)),sK12),
    inference(forward_demodulation,[],[f148,f105]) ).

fof(f105,plain,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X1,X0] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).

fof(f148,plain,
    in(unordered_pair(unordered_pair(sK11,sK10),singleton(sK11)),sK12),
    inference(definition_unfolding,[],[f129,f106]) ).

fof(f106,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).

fof(f129,plain,
    in(ordered_pair(sK11,sK10),sK12),
    inference(cnf_transformation,[],[f93]) ).

fof(f177,plain,
    ! [X0,X1] :
      ( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK12)
      | in(X1,relation_rng(sK12)) ),
    inference(superposition,[],[f163,f105]) ).

fof(f163,plain,
    ! [X8,X7] :
      ( ~ in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),sK12)
      | in(X8,relation_rng(sK12)) ),
    inference(resolution,[],[f130,f150]) ).

fof(f150,plain,
    ! [X2,X0,X4] :
      ( ~ relation(X0)
      | ~ in(unordered_pair(unordered_pair(X4,X2),singleton(X4)),X0)
      | in(X2,relation_rng(X0)) ),
    inference(equality_resolution,[],[f140]) ).

fof(f140,plain,
    ! [X2,X0,X1,X4] :
      ( ~ relation(X0)
      | in(X2,X1)
      | ~ in(unordered_pair(unordered_pair(X4,X2),singleton(X4)),X0)
      | relation_rng(X0) != X1 ),
    inference(definition_unfolding,[],[f102,f106]) ).

fof(f102,plain,
    ! [X2,X0,X1,X4] :
      ( ~ relation(X0)
      | in(X2,X1)
      | ~ in(ordered_pair(X4,X2),X0)
      | relation_rng(X0) != X1 ),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( ! [X2] :
                ( ( in(ordered_pair(sK1(X0,X2),X2),X0)
                  | ~ in(X2,X1) )
                & ( in(X2,X1)
                  | ! [X4] : ~ in(ordered_pair(X4,X2),X0) ) )
            | relation_rng(X0) != X1 )
          & ( relation_rng(X0) = X1
            | ( ( ~ in(sK2(X0,X1),X1)
                | ! [X6] : ~ in(ordered_pair(X6,sK2(X0,X1)),X0) )
              & ( in(sK2(X0,X1),X1)
                | in(ordered_pair(sK3(X0,X1),sK2(X0,X1)),X0) ) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f64,f67,f66,f65]) ).

fof(f65,plain,
    ! [X0,X2] :
      ( ? [X3] : in(ordered_pair(X3,X2),X0)
     => in(ordered_pair(sK1(X0,X2),X2),X0) ),
    introduced(choice_axiom,[]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( ( ~ in(X5,X1)
            | ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
          & ( in(X5,X1)
            | ? [X7] : in(ordered_pair(X7,X5),X0) ) )
     => ( ( ~ in(sK2(X0,X1),X1)
          | ! [X6] : ~ in(ordered_pair(X6,sK2(X0,X1)),X0) )
        & ( in(sK2(X0,X1),X1)
          | ? [X7] : in(ordered_pair(X7,sK2(X0,X1)),X0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ? [X7] : in(ordered_pair(X7,sK2(X0,X1)),X0)
     => in(ordered_pair(sK3(X0,X1),sK2(X0,X1)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f64,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( ! [X2] :
                ( ( ? [X3] : in(ordered_pair(X3,X2),X0)
                  | ~ in(X2,X1) )
                & ( in(X2,X1)
                  | ! [X4] : ~ in(ordered_pair(X4,X2),X0) ) )
            | relation_rng(X0) != X1 )
          & ( relation_rng(X0) = X1
            | ? [X5] :
                ( ( ~ in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
                & ( in(X5,X1)
                  | ? [X7] : in(ordered_pair(X7,X5),X0) ) ) ) ) ),
    inference(rectify,[],[f63]) ).

fof(f63,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( ! [X2] :
                ( ( ? [X3] : in(ordered_pair(X3,X2),X0)
                  | ~ in(X2,X1) )
                & ( in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X3,X2),X0) ) )
            | relation_rng(X0) != X1 )
          & ( relation_rng(X0) = X1
            | ? [X2] :
                ( ( ~ in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
                & ( in(X2,X1)
                  | ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ) ) ),
    inference(nnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ? [X3] : in(ordered_pair(X3,X2),X0)
            <=> in(X2,X1) )
        <=> relation_rng(X0) = X1 ) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( ! [X2] :
              ( ? [X3] : in(ordered_pair(X3,X2),X0)
            <=> in(X2,X1) )
        <=> relation_rng(X0) = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_relat_1) ).

fof(f218,plain,
    in(sK11,relation_dom(sK12)),
    inference(resolution,[],[f181,f156]) ).

fof(f181,plain,
    ! [X0,X1] :
      ( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK12)
      | in(X0,relation_dom(sK12)) ),
    inference(superposition,[],[f165,f105]) ).

fof(f165,plain,
    ! [X10,X11] :
      ( ~ in(unordered_pair(unordered_pair(X10,X11),singleton(X10)),sK12)
      | in(X10,relation_dom(sK12)) ),
    inference(resolution,[],[f130,f155]) ).

fof(f155,plain,
    ! [X0,X7,X5] :
      ( ~ relation(X0)
      | in(X5,relation_dom(X0))
      | ~ in(unordered_pair(unordered_pair(X5,X7),singleton(X5)),X0) ),
    inference(equality_resolution,[],[f147]) ).

fof(f147,plain,
    ! [X0,X1,X7,X5] :
      ( ~ relation(X0)
      | in(X5,X1)
      | ~ in(unordered_pair(unordered_pair(X5,X7),singleton(X5)),X0)
      | relation_dom(X0) != X1 ),
    inference(definition_unfolding,[],[f121,f106]) ).

fof(f121,plain,
    ! [X0,X1,X7,X5] :
      ( ~ relation(X0)
      | in(X5,X1)
      | ~ in(ordered_pair(X5,X7),X0)
      | relation_dom(X0) != X1 ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( relation_dom(X0) = X1
            | ( ( ~ in(sK6(X0,X1),X1)
                | ! [X3] : ~ in(ordered_pair(sK6(X0,X1),X3),X0) )
              & ( in(sK6(X0,X1),X1)
                | in(ordered_pair(sK6(X0,X1),sK7(X0,X1)),X0) ) ) )
          & ( ! [X5] :
                ( ( in(ordered_pair(X5,sK8(X0,X5)),X0)
                  | ~ in(X5,X1) )
                & ( in(X5,X1)
                  | ! [X7] : ~ in(ordered_pair(X5,X7),X0) ) )
            | relation_dom(X0) != X1 ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f83,f86,f85,f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ~ in(X2,X1)
            | ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
          & ( in(X2,X1)
            | ? [X4] : in(ordered_pair(X2,X4),X0) ) )
     => ( ( ~ in(sK6(X0,X1),X1)
          | ! [X3] : ~ in(ordered_pair(sK6(X0,X1),X3),X0) )
        & ( in(sK6(X0,X1),X1)
          | ? [X4] : in(ordered_pair(sK6(X0,X1),X4),X0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( ? [X4] : in(ordered_pair(sK6(X0,X1),X4),X0)
     => in(ordered_pair(sK6(X0,X1),sK7(X0,X1)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f86,plain,
    ! [X0,X5] :
      ( ? [X6] : in(ordered_pair(X5,X6),X0)
     => in(ordered_pair(X5,sK8(X0,X5)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f83,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( relation_dom(X0) = X1
            | ? [X2] :
                ( ( ~ in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
                & ( in(X2,X1)
                  | ? [X4] : in(ordered_pair(X2,X4),X0) ) ) )
          & ( ! [X5] :
                ( ( ? [X6] : in(ordered_pair(X5,X6),X0)
                  | ~ in(X5,X1) )
                & ( in(X5,X1)
                  | ! [X7] : ~ in(ordered_pair(X5,X7),X0) ) )
            | relation_dom(X0) != X1 ) ) ),
    inference(rectify,[],[f82]) ).

fof(f82,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( relation_dom(X0) = X1
            | ? [X2] :
                ( ( ~ in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
                & ( in(X2,X1)
                  | ? [X3] : in(ordered_pair(X2,X3),X0) ) ) )
          & ( ! [X2] :
                ( ( ? [X3] : in(ordered_pair(X2,X3),X0)
                  | ~ in(X2,X1) )
                & ( in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X2,X3),X0) ) )
            | relation_dom(X0) != X1 ) ) ),
    inference(nnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( relation_dom(X0) = X1
        <=> ! [X2] :
              ( ? [X3] : in(ordered_pair(X2,X3),X0)
            <=> in(X2,X1) ) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation_dom(X0) = X1
        <=> ! [X2] :
              ( ? [X3] : in(ordered_pair(X2,X3),X0)
            <=> in(X2,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEU180+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % 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 : n021.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 14:43:26 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.52  % (12636)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)
% 0.20/0.53  % (12635)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  % (12656)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)
% 0.20/0.53  % (12640)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)
% 0.20/0.53  % (12658)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)
% 0.20/0.53  % (12644)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)
% 0.20/0.53  % (12634)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  % (12641)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)
% 0.20/0.54  % (12654)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)
% 0.20/0.54  % (12637)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  % (12634)Instruction limit reached!
% 0.20/0.54  % (12634)------------------------------
% 0.20/0.54  % (12634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (12634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (12634)Termination reason: Unknown
% 0.20/0.54  % (12634)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (12634)Memory used [KB]: 6012
% 0.20/0.54  % (12634)Time elapsed: 0.122 s
% 0.20/0.54  % (12634)Instructions burned: 4 (million)
% 0.20/0.54  % (12634)------------------------------
% 0.20/0.54  % (12634)------------------------------
% 0.20/0.54  % (12663)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  % (12648)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)
% 0.20/0.54  % (12637)First to succeed.
% 0.20/0.54  % (12639)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)
% 0.20/0.54  % (12632)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  % (12655)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)
% 0.20/0.55  % (12644)Instruction limit reached!
% 0.20/0.55  % (12644)------------------------------
% 0.20/0.55  % (12644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (12644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (12644)Termination reason: Unknown
% 0.20/0.55  % (12644)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (12644)Memory used [KB]: 6140
% 0.20/0.55  % (12644)Time elapsed: 0.139 s
% 0.20/0.55  % (12644)Instructions burned: 7 (million)
% 0.20/0.55  % (12644)------------------------------
% 0.20/0.55  % (12644)------------------------------
% 0.20/0.55  % (12643)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)
% 0.20/0.55  % (12650)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.55  % (12650)Instruction limit reached!
% 0.20/0.55  % (12650)------------------------------
% 0.20/0.55  % (12650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (12650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (12650)Termination reason: Unknown
% 0.20/0.55  % (12650)Termination phase: Finite model building preprocessing
% 0.20/0.55  
% 0.20/0.55  % (12650)Memory used [KB]: 1535
% 0.20/0.55  % (12650)Time elapsed: 0.003 s
% 0.20/0.55  % (12650)Instructions burned: 5 (million)
% 0.20/0.55  % (12650)------------------------------
% 0.20/0.55  % (12650)------------------------------
% 0.20/0.55  % (12643)Refutation not found, incomplete strategy% (12643)------------------------------
% 0.20/0.55  % (12643)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (12643)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (12643)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55  
% 0.20/0.55  % (12643)Memory used [KB]: 6012
% 0.20/0.55  % (12643)Time elapsed: 0.135 s
% 0.20/0.55  % (12643)Instructions burned: 4 (million)
% 0.20/0.55  % (12643)------------------------------
% 0.20/0.55  % (12643)------------------------------
% 0.20/0.55  % (12657)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)
% 0.20/0.55  % (12651)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)
% 0.20/0.55  % (12646)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)
% 0.20/0.55  % (12652)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)
% 0.20/0.55  % (12661)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)
% 0.20/0.55  % (12645)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)
% 0.20/0.55  % (12662)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)
% 0.20/0.55  % (12636)Also succeeded, but the first one will report.
% 0.20/0.56  % (12637)Refutation found. Thanks to Tanya!
% 0.20/0.56  % SZS status Theorem for theBenchmark
% 0.20/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56  % (12637)------------------------------
% 0.20/0.56  % (12637)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (12637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (12637)Termination reason: Refutation
% 0.20/0.56  
% 0.20/0.56  % (12637)Memory used [KB]: 1663
% 0.20/0.56  % (12637)Time elapsed: 0.137 s
% 0.20/0.56  % (12637)Instructions burned: 8 (million)
% 0.20/0.56  % (12637)------------------------------
% 0.20/0.56  % (12637)------------------------------
% 0.20/0.56  % (12628)Success in time 0.197 s
%------------------------------------------------------------------------------