TSTP Solution File: SEU214+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU214+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_sat --cores 0 -t %d %s

% Computer : n022.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 18:32:33 EDT 2022

% Result   : Theorem 2.44s 0.75s
% Output   : Refutation 2.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  112 (  25 unt;   0 def)
%            Number of atoms       :  499 (  77 equ)
%            Maximal formula atoms :   17 (   4 avg)
%            Number of connectives :  650 ( 263   ~; 255   |;  94   &)
%                                         (  14 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;   9 con; 0-4 aty)
%            Number of variables   :  254 ( 211   !;  43   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1604,plain,
    $false,
    inference(subsumption_resolution,[],[f1603,f458]) ).

fof(f458,plain,
    in(ordered_pair(sK2,sF21),sF17),
    inference(backward_demodulation,[],[f375,f455]) ).

fof(f455,plain,
    sK14(sF17,sK2) = sF21,
    inference(forward_demodulation,[],[f454,f185]) ).

fof(f185,plain,
    sF21 = apply(sF17,sK2),
    introduced(function_definition,[]) ).

fof(f454,plain,
    sK14(sF17,sK2) = apply(sF17,sK2),
    inference(subsumption_resolution,[],[f453,f182]) ).

fof(f182,plain,
    in(sK2,sF18),
    inference(definition_folding,[],[f120,f181,f180]) ).

fof(f180,plain,
    relation_composition(sK3,sK1) = sF17,
    introduced(function_definition,[]) ).

fof(f181,plain,
    sF18 = relation_dom(sF17),
    introduced(function_definition,[]) ).

fof(f120,plain,
    in(sK2,relation_dom(relation_composition(sK3,sK1))),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ( function(sK3)
    & in(sK2,relation_dom(relation_composition(sK3,sK1)))
    & apply(sK1,apply(sK3,sK2)) != apply(relation_composition(sK3,sK1),sK2)
    & relation(sK3)
    & relation(sK1)
    & function(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f79,f81,f80]) ).

fof(f80,plain,
    ( ? [X0,X1] :
        ( ? [X2] :
            ( function(X2)
            & in(X1,relation_dom(relation_composition(X2,X0)))
            & apply(relation_composition(X2,X0),X1) != apply(X0,apply(X2,X1))
            & relation(X2) )
        & relation(X0)
        & function(X0) )
   => ( ? [X2] :
          ( function(X2)
          & in(sK2,relation_dom(relation_composition(X2,sK1)))
          & apply(sK1,apply(X2,sK2)) != apply(relation_composition(X2,sK1),sK2)
          & relation(X2) )
      & relation(sK1)
      & function(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f81,plain,
    ( ? [X2] :
        ( function(X2)
        & in(sK2,relation_dom(relation_composition(X2,sK1)))
        & apply(sK1,apply(X2,sK2)) != apply(relation_composition(X2,sK1),sK2)
        & relation(X2) )
   => ( function(sK3)
      & in(sK2,relation_dom(relation_composition(sK3,sK1)))
      & apply(sK1,apply(sK3,sK2)) != apply(relation_composition(sK3,sK1),sK2)
      & relation(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f79,plain,
    ? [X0,X1] :
      ( ? [X2] :
          ( function(X2)
          & in(X1,relation_dom(relation_composition(X2,X0)))
          & apply(relation_composition(X2,X0),X1) != apply(X0,apply(X2,X1))
          & relation(X2) )
      & relation(X0)
      & function(X0) ),
    inference(rectify,[],[f61]) ).

fof(f61,plain,
    ? [X1,X0] :
      ( ? [X2] :
          ( function(X2)
          & in(X0,relation_dom(relation_composition(X2,X1)))
          & apply(relation_composition(X2,X1),X0) != apply(X1,apply(X2,X0))
          & relation(X2) )
      & relation(X1)
      & function(X1) ),
    inference(flattening,[],[f60]) ).

fof(f60,plain,
    ? [X1,X0] :
      ( ? [X2] :
          ( apply(relation_composition(X2,X1),X0) != apply(X1,apply(X2,X0))
          & in(X0,relation_dom(relation_composition(X2,X1)))
          & relation(X2)
          & function(X2) )
      & relation(X1)
      & function(X1) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,negated_conjecture,
    ~ ! [X1,X0] :
        ( ( relation(X1)
          & function(X1) )
       => ! [X2] :
            ( ( relation(X2)
              & function(X2) )
           => ( in(X0,relation_dom(relation_composition(X2,X1)))
             => apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0)) ) ) ),
    inference(negated_conjecture,[],[f36]) ).

fof(f36,conjecture,
    ! [X1,X0] :
      ( ( relation(X1)
        & function(X1) )
     => ! [X2] :
          ( ( relation(X2)
            & function(X2) )
         => ( in(X0,relation_dom(relation_composition(X2,X1)))
           => apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_funct_1) ).

fof(f453,plain,
    ( sK14(sF17,sK2) = apply(sF17,sK2)
    | ~ in(sK2,sF18) ),
    inference(forward_demodulation,[],[f452,f181]) ).

fof(f452,plain,
    ( ~ in(sK2,relation_dom(sF17))
    | sK14(sF17,sK2) = apply(sF17,sK2) ),
    inference(subsumption_resolution,[],[f451,f307]) ).

fof(f307,plain,
    function(sF17),
    inference(subsumption_resolution,[],[f306,f121]) ).

fof(f121,plain,
    function(sK3),
    inference(cnf_transformation,[],[f82]) ).

fof(f306,plain,
    ( function(sF17)
    | ~ function(sK3) ),
    inference(subsumption_resolution,[],[f304,f118]) ).

fof(f118,plain,
    relation(sK3),
    inference(cnf_transformation,[],[f82]) ).

fof(f304,plain,
    ( ~ relation(sK3)
    | function(sF17)
    | ~ function(sK3) ),
    inference(superposition,[],[f284,f180]) ).

fof(f284,plain,
    ! [X2] :
      ( function(relation_composition(X2,sK1))
      | ~ relation(X2)
      | ~ function(X2) ),
    inference(subsumption_resolution,[],[f278,f117]) ).

fof(f117,plain,
    relation(sK1),
    inference(cnf_transformation,[],[f82]) ).

fof(f278,plain,
    ! [X2] :
      ( function(relation_composition(X2,sK1))
      | ~ function(X2)
      | ~ relation(sK1)
      | ~ relation(X2) ),
    inference(resolution,[],[f162,f116]) ).

fof(f116,plain,
    function(sK1),
    inference(cnf_transformation,[],[f82]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ~ relation(X1)
      | function(relation_composition(X1,X0))
      | ~ function(X1) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( ( function(relation_composition(X1,X0))
        & relation(relation_composition(X1,X0)) )
      | ~ relation(X1)
      | ~ function(X1)
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(flattening,[],[f63]) ).

fof(f63,plain,
    ! [X1,X0] :
      ( ( function(relation_composition(X1,X0))
        & relation(relation_composition(X1,X0)) )
      | ~ relation(X0)
      | ~ function(X1)
      | ~ function(X0)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X1,X0] :
      ( ( relation(X0)
        & function(X1)
        & function(X0)
        & relation(X1) )
     => ( function(relation_composition(X1,X0))
        & relation(relation_composition(X1,X0)) ) ),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X1,X0] :
      ( ( relation(X0)
        & relation(X1)
        & function(X0)
        & function(X1) )
     => ( relation(relation_composition(X0,X1))
        & function(relation_composition(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_funct_1) ).

fof(f451,plain,
    ( ~ in(sK2,relation_dom(sF17))
    | ~ function(sF17)
    | sK14(sF17,sK2) = apply(sF17,sK2) ),
    inference(subsumption_resolution,[],[f444,f214]) ).

fof(f214,plain,
    relation(sF17),
    inference(subsumption_resolution,[],[f213,f117]) ).

fof(f213,plain,
    ( relation(sF17)
    | ~ relation(sK1) ),
    inference(subsumption_resolution,[],[f212,f118]) ).

fof(f212,plain,
    ( relation(sF17)
    | ~ relation(sK3)
    | ~ relation(sK1) ),
    inference(superposition,[],[f123,f180]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( relation(relation_composition(X1,X0))
      | ~ relation(X0)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ~ relation(X1)
      | ~ relation(X0)
      | relation(relation_composition(X1,X0)) ),
    inference(rectify,[],[f52]) ).

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

fof(f51,plain,
    ! [X0,X1] :
      ( relation(relation_composition(X0,X1))
      | ~ relation(X0)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X1] :
      ( ( relation(X0)
        & relation(X1) )
     => relation(relation_composition(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relat_1) ).

fof(f444,plain,
    ( sK14(sF17,sK2) = apply(sF17,sK2)
    | ~ relation(sF17)
    | ~ in(sK2,relation_dom(sF17))
    | ~ function(sF17) ),
    inference(resolution,[],[f375,f135]) ).

fof(f135,plain,
    ! [X2,X0,X1] :
      ( ~ in(ordered_pair(X1,X2),X0)
      | ~ in(X1,relation_dom(X0))
      | ~ relation(X0)
      | apply(X0,X1) = X2
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ~ function(X0)
      | ! [X1,X2] :
          ( ( ~ in(X1,relation_dom(X0))
            | ( ( apply(X0,X1) = X2
                | ~ in(ordered_pair(X1,X2),X0) )
              & ( in(ordered_pair(X1,X2),X0)
                | apply(X0,X1) != X2 ) ) )
          & ( ( ( apply(X0,X1) = X2
                | empty_set != X2 )
              & ( empty_set = X2
                | apply(X0,X1) != X2 ) )
            | in(X1,relation_dom(X0)) ) ) ),
    inference(nnf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ~ function(X0)
      | ! [X1,X2] :
          ( ( ~ in(X1,relation_dom(X0))
            | ( apply(X0,X1) = X2
            <=> in(ordered_pair(X1,X2),X0) ) )
          & ( ( apply(X0,X1) = X2
            <=> empty_set = X2 )
            | in(X1,relation_dom(X0)) ) ) ),
    inference(flattening,[],[f72]) ).

fof(f72,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ~ in(X1,relation_dom(X0))
            | ( apply(X0,X1) = X2
            <=> in(ordered_pair(X1,X2),X0) ) )
          & ( ( apply(X0,X1) = X2
            <=> empty_set = X2 )
            | in(X1,relation_dom(X0)) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ( relation(X0)
        & function(X0) )
     => ! [X2,X1] :
          ( ( ~ in(X1,relation_dom(X0))
           => ( apply(X0,X1) = X2
            <=> empty_set = X2 ) )
          & ( in(X1,relation_dom(X0))
           => ( apply(X0,X1) = X2
            <=> in(ordered_pair(X1,X2),X0) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_funct_1) ).

fof(f375,plain,
    in(ordered_pair(sK2,sK14(sF17,sK2)),sF17),
    inference(resolution,[],[f295,f182]) ).

fof(f295,plain,
    ! [X0] :
      ( ~ in(X0,sF18)
      | in(ordered_pair(X0,sK14(sF17,X0)),sF17) ),
    inference(subsumption_resolution,[],[f293,f214]) ).

fof(f293,plain,
    ! [X0] :
      ( in(ordered_pair(X0,sK14(sF17,X0)),sF17)
      | ~ in(X0,sF18)
      | ~ relation(sF17) ),
    inference(superposition,[],[f178,f181]) ).

fof(f178,plain,
    ! [X0,X5] :
      ( ~ in(X5,relation_dom(X0))
      | in(ordered_pair(X5,sK14(X0,X5)),X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f152]) ).

fof(f152,plain,
    ! [X0,X1,X5] :
      ( in(ordered_pair(X5,sK14(X0,X5)),X0)
      | ~ in(X5,X1)
      | relation_dom(X0) != X1
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_dom(X0) = X1
            | ( ( ~ in(sK12(X0,X1),X1)
                | ! [X3] : ~ in(ordered_pair(sK12(X0,X1),X3),X0) )
              & ( in(sK12(X0,X1),X1)
                | in(ordered_pair(sK12(X0,X1),sK13(X0,X1)),X0) ) ) )
          & ( ! [X5] :
                ( ( in(ordered_pair(X5,sK14(X0,X5)),X0)
                  | ~ in(X5,X1) )
                & ( in(X5,X1)
                  | ! [X7] : ~ in(ordered_pair(X5,X7),X0) ) )
            | relation_dom(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14])],[f102,f105,f104,f103]) ).

fof(f103,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(sK12(X0,X1),X1)
          | ! [X3] : ~ in(ordered_pair(sK12(X0,X1),X3),X0) )
        & ( in(sK12(X0,X1),X1)
          | ? [X4] : in(ordered_pair(sK12(X0,X1),X4),X0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ? [X4] : in(ordered_pair(sK12(X0,X1),X4),X0)
     => in(ordered_pair(sK12(X0,X1),sK13(X0,X1)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f105,plain,
    ! [X0,X5] :
      ( ? [X6] : in(ordered_pair(X5,X6),X0)
     => in(ordered_pair(X5,sK14(X0,X5)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f102,plain,
    ! [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 ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f101]) ).

fof(f101,plain,
    ! [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 ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0] :
      ( ! [X1] :
          ( relation_dom(X0) = X1
        <=> ! [X2] :
              ( ? [X3] : in(ordered_pair(X2,X3),X0)
            <=> in(X2,X1) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation_dom(X0) = X1
        <=> ! [X2] :
              ( ? [X3] : in(ordered_pair(X2,X3),X0)
            <=> in(X2,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_1) ).

fof(f1603,plain,
    ~ in(ordered_pair(sK2,sF21),sF17),
    inference(forward_demodulation,[],[f1602,f180]) ).

fof(f1602,plain,
    ~ in(ordered_pair(sK2,sF21),relation_composition(sK3,sK1)),
    inference(subsumption_resolution,[],[f1601,f1599]) ).

fof(f1599,plain,
    ~ in(sF19,relation_dom(sK1)),
    inference(subsumption_resolution,[],[f1598,f458]) ).

fof(f1598,plain,
    ( ~ in(sF19,relation_dom(sK1))
    | ~ in(ordered_pair(sK2,sF21),sF17) ),
    inference(forward_demodulation,[],[f1597,f180]) ).

fof(f1597,plain,
    ( ~ in(ordered_pair(sK2,sF21),relation_composition(sK3,sK1))
    | ~ in(sF19,relation_dom(sK1)) ),
    inference(subsumption_resolution,[],[f1596,f186]) ).

fof(f186,plain,
    sF20 != sF21,
    inference(definition_folding,[],[f119,f185,f180,f184,f183]) ).

fof(f183,plain,
    sF19 = apply(sK3,sK2),
    introduced(function_definition,[]) ).

fof(f184,plain,
    apply(sK1,sF19) = sF20,
    introduced(function_definition,[]) ).

fof(f119,plain,
    apply(sK1,apply(sK3,sK2)) != apply(relation_composition(sK3,sK1),sK2),
    inference(cnf_transformation,[],[f82]) ).

fof(f1596,plain,
    ( ~ in(ordered_pair(sK2,sF21),relation_composition(sK3,sK1))
    | ~ in(sF19,relation_dom(sK1))
    | sF20 = sF21 ),
    inference(forward_demodulation,[],[f1595,f184]) ).

fof(f1595,plain,
    ( apply(sK1,sF19) = sF21
    | ~ in(sF19,relation_dom(sK1))
    | ~ in(ordered_pair(sK2,sF21),relation_composition(sK3,sK1)) ),
    inference(subsumption_resolution,[],[f1594,f116]) ).

fof(f1594,plain,
    ( ~ in(ordered_pair(sK2,sF21),relation_composition(sK3,sK1))
    | apply(sK1,sF19) = sF21
    | ~ in(sF19,relation_dom(sK1))
    | ~ function(sK1) ),
    inference(subsumption_resolution,[],[f1593,f118]) ).

fof(f1593,plain,
    ( ~ in(ordered_pair(sK2,sF21),relation_composition(sK3,sK1))
    | ~ relation(sK3)
    | apply(sK1,sF19) = sF21
    | ~ function(sK1)
    | ~ in(sF19,relation_dom(sK1)) ),
    inference(subsumption_resolution,[],[f1575,f117]) ).

fof(f1575,plain,
    ( ~ relation(sK1)
    | ~ in(sF19,relation_dom(sK1))
    | ~ in(ordered_pair(sK2,sF21),relation_composition(sK3,sK1))
    | ~ relation(sK3)
    | ~ function(sK1)
    | apply(sK1,sF19) = sF21 ),
    inference(superposition,[],[f388,f1561]) ).

fof(f1561,plain,
    sF19 = sK7(sK3,sK1,sK2,sF21),
    inference(forward_demodulation,[],[f1542,f183]) ).

fof(f1542,plain,
    sK7(sK3,sK1,sK2,sF21) = apply(sK3,sK2),
    inference(resolution,[],[f1514,f458]) ).

fof(f1514,plain,
    ! [X0,X1] :
      ( ~ in(ordered_pair(X0,X1),sF17)
      | apply(sK3,X0) = sK7(sK3,sK1,X0,X1) ),
    inference(subsumption_resolution,[],[f1513,f117]) ).

fof(f1513,plain,
    ! [X0,X1] :
      ( ~ relation(sK1)
      | apply(sK3,X0) = sK7(sK3,sK1,X0,X1)
      | ~ in(ordered_pair(X0,X1),sF17) ),
    inference(superposition,[],[f979,f180]) ).

fof(f979,plain,
    ! [X24,X25,X23] :
      ( ~ in(ordered_pair(X23,X24),relation_composition(sK3,X25))
      | sK7(sK3,X25,X23,X24) = apply(sK3,X23)
      | ~ relation(X25) ),
    inference(subsumption_resolution,[],[f978,f859]) ).

fof(f859,plain,
    ! [X28,X29,X30] :
      ( ~ in(ordered_pair(X29,X30),relation_composition(sK3,X28))
      | in(X29,relation_dom(sK3))
      | ~ relation(X28) ),
    inference(resolution,[],[f408,f118]) ).

fof(f408,plain,
    ! [X6,X7,X4,X5] :
      ( ~ relation(X7)
      | ~ relation(X4)
      | ~ in(ordered_pair(X5,X6),relation_composition(X7,X4))
      | in(X5,relation_dom(X7)) ),
    inference(subsumption_resolution,[],[f402,f123]) ).

fof(f402,plain,
    ! [X6,X7,X4,X5] :
      ( ~ relation(X4)
      | ~ relation(relation_composition(X7,X4))
      | ~ in(ordered_pair(X5,X6),relation_composition(X7,X4))
      | ~ relation(X7)
      | in(X5,relation_dom(X7)) ),
    inference(duplicate_literal_removal,[],[f396]) ).

fof(f396,plain,
    ! [X6,X7,X4,X5] :
      ( ~ relation(X4)
      | ~ relation(relation_composition(X7,X4))
      | in(X5,relation_dom(X7))
      | ~ relation(X7)
      | ~ relation(X7)
      | ~ in(ordered_pair(X5,X6),relation_composition(X7,X4)) ),
    inference(resolution,[],[f176,f179]) ).

fof(f179,plain,
    ! [X0,X7,X5] :
      ( ~ in(ordered_pair(X5,X7),X0)
      | ~ relation(X0)
      | in(X5,relation_dom(X0)) ),
    inference(equality_resolution,[],[f151]) ).

fof(f151,plain,
    ! [X0,X1,X7,X5] :
      ( in(X5,X1)
      | ~ in(ordered_pair(X5,X7),X0)
      | relation_dom(X0) != X1
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f176,plain,
    ! [X3,X0,X1,X4] :
      ( in(ordered_pair(X3,sK7(X0,X1,X3,X4)),X0)
      | ~ relation(X1)
      | ~ in(ordered_pair(X3,X4),relation_composition(X0,X1))
      | ~ relation(relation_composition(X0,X1))
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f144]) ).

fof(f144,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ relation(X2)
      | in(ordered_pair(X3,sK7(X0,X1,X3,X4)),X0)
      | ~ in(ordered_pair(X3,X4),X2)
      | relation_composition(X0,X1) != X2
      | ~ relation(X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ~ relation(X2)
              | ( ( ! [X3,X4] :
                      ( ( ( in(ordered_pair(sK7(X0,X1,X3,X4),X4),X1)
                          & in(ordered_pair(X3,sK7(X0,X1,X3,X4)),X0) )
                        | ~ in(ordered_pair(X3,X4),X2) )
                      & ( in(ordered_pair(X3,X4),X2)
                        | ! [X6] :
                            ( ~ in(ordered_pair(X6,X4),X1)
                            | ~ in(ordered_pair(X3,X6),X0) ) ) )
                  | relation_composition(X0,X1) != X2 )
                & ( relation_composition(X0,X1) = X2
                  | ( ( ~ in(ordered_pair(sK8(X0,X1,X2),sK9(X0,X1,X2)),X2)
                      | ! [X9] :
                          ( ~ in(ordered_pair(X9,sK9(X0,X1,X2)),X1)
                          | ~ in(ordered_pair(sK8(X0,X1,X2),X9),X0) ) )
                    & ( in(ordered_pair(sK8(X0,X1,X2),sK9(X0,X1,X2)),X2)
                      | ( in(ordered_pair(sK10(X0,X1,X2),sK9(X0,X1,X2)),X1)
                        & in(ordered_pair(sK8(X0,X1,X2),sK10(X0,X1,X2)),X0) ) ) ) ) ) )
          | ~ relation(X1) )
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10])],[f94,f97,f96,f95]) ).

fof(f95,plain,
    ! [X0,X1,X3,X4] :
      ( ? [X5] :
          ( in(ordered_pair(X5,X4),X1)
          & in(ordered_pair(X3,X5),X0) )
     => ( in(ordered_pair(sK7(X0,X1,X3,X4),X4),X1)
        & in(ordered_pair(X3,sK7(X0,X1,X3,X4)),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f96,plain,
    ! [X0,X1,X2] :
      ( ? [X7,X8] :
          ( ( ~ in(ordered_pair(X7,X8),X2)
            | ! [X9] :
                ( ~ in(ordered_pair(X9,X8),X1)
                | ~ in(ordered_pair(X7,X9),X0) ) )
          & ( in(ordered_pair(X7,X8),X2)
            | ? [X10] :
                ( in(ordered_pair(X10,X8),X1)
                & in(ordered_pair(X7,X10),X0) ) ) )
     => ( ( ~ in(ordered_pair(sK8(X0,X1,X2),sK9(X0,X1,X2)),X2)
          | ! [X9] :
              ( ~ in(ordered_pair(X9,sK9(X0,X1,X2)),X1)
              | ~ in(ordered_pair(sK8(X0,X1,X2),X9),X0) ) )
        & ( in(ordered_pair(sK8(X0,X1,X2),sK9(X0,X1,X2)),X2)
          | ? [X10] :
              ( in(ordered_pair(X10,sK9(X0,X1,X2)),X1)
              & in(ordered_pair(sK8(X0,X1,X2),X10),X0) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f97,plain,
    ! [X0,X1,X2] :
      ( ? [X10] :
          ( in(ordered_pair(X10,sK9(X0,X1,X2)),X1)
          & in(ordered_pair(sK8(X0,X1,X2),X10),X0) )
     => ( in(ordered_pair(sK10(X0,X1,X2),sK9(X0,X1,X2)),X1)
        & in(ordered_pair(sK8(X0,X1,X2),sK10(X0,X1,X2)),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f94,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ~ relation(X2)
              | ( ( ! [X3,X4] :
                      ( ( ? [X5] :
                            ( in(ordered_pair(X5,X4),X1)
                            & in(ordered_pair(X3,X5),X0) )
                        | ~ in(ordered_pair(X3,X4),X2) )
                      & ( in(ordered_pair(X3,X4),X2)
                        | ! [X6] :
                            ( ~ in(ordered_pair(X6,X4),X1)
                            | ~ in(ordered_pair(X3,X6),X0) ) ) )
                  | relation_composition(X0,X1) != X2 )
                & ( relation_composition(X0,X1) = X2
                  | ? [X7,X8] :
                      ( ( ~ in(ordered_pair(X7,X8),X2)
                        | ! [X9] :
                            ( ~ in(ordered_pair(X9,X8),X1)
                            | ~ in(ordered_pair(X7,X9),X0) ) )
                      & ( in(ordered_pair(X7,X8),X2)
                        | ? [X10] :
                            ( in(ordered_pair(X10,X8),X1)
                            & in(ordered_pair(X7,X10),X0) ) ) ) ) ) )
          | ~ relation(X1) )
      | ~ relation(X0) ),
    inference(rectify,[],[f93]) ).

fof(f93,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ~ relation(X2)
              | ( ( ! [X3,X4] :
                      ( ( ? [X5] :
                            ( in(ordered_pair(X5,X4),X1)
                            & in(ordered_pair(X3,X5),X0) )
                        | ~ in(ordered_pair(X3,X4),X2) )
                      & ( in(ordered_pair(X3,X4),X2)
                        | ! [X5] :
                            ( ~ in(ordered_pair(X5,X4),X1)
                            | ~ in(ordered_pair(X3,X5),X0) ) ) )
                  | relation_composition(X0,X1) != X2 )
                & ( relation_composition(X0,X1) = X2
                  | ? [X3,X4] :
                      ( ( ~ in(ordered_pair(X3,X4),X2)
                        | ! [X5] :
                            ( ~ in(ordered_pair(X5,X4),X1)
                            | ~ in(ordered_pair(X3,X5),X0) ) )
                      & ( in(ordered_pair(X3,X4),X2)
                        | ? [X5] :
                            ( in(ordered_pair(X5,X4),X1)
                            & in(ordered_pair(X3,X5),X0) ) ) ) ) ) )
          | ~ relation(X1) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ~ relation(X2)
              | ( ! [X3,X4] :
                    ( ? [X5] :
                        ( in(ordered_pair(X5,X4),X1)
                        & in(ordered_pair(X3,X5),X0) )
                  <=> in(ordered_pair(X3,X4),X2) )
              <=> relation_composition(X0,X1) = X2 ) )
          | ~ relation(X1) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation(X1)
         => ! [X2] :
              ( relation(X2)
             => ( ! [X3,X4] :
                    ( ? [X5] :
                        ( in(ordered_pair(X5,X4),X1)
                        & in(ordered_pair(X3,X5),X0) )
                  <=> in(ordered_pair(X3,X4),X2) )
              <=> relation_composition(X0,X1) = X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_relat_1) ).

fof(f978,plain,
    ! [X24,X25,X23] :
      ( ~ relation(X25)
      | sK7(sK3,X25,X23,X24) = apply(sK3,X23)
      | ~ in(ordered_pair(X23,X24),relation_composition(sK3,X25))
      | ~ in(X23,relation_dom(sK3)) ),
    inference(subsumption_resolution,[],[f971,f118]) ).

fof(f971,plain,
    ! [X24,X25,X23] :
      ( ~ in(X23,relation_dom(sK3))
      | ~ relation(X25)
      | sK7(sK3,X25,X23,X24) = apply(sK3,X23)
      | ~ in(ordered_pair(X23,X24),relation_composition(sK3,X25))
      | ~ relation(sK3) ),
    inference(resolution,[],[f405,f121]) ).

fof(f405,plain,
    ! [X2,X3,X0,X1] :
      ( ~ function(X3)
      | ~ in(ordered_pair(X1,X2),relation_composition(X3,X0))
      | sK7(X3,X0,X1,X2) = apply(X3,X1)
      | ~ relation(X3)
      | ~ relation(X0)
      | ~ in(X1,relation_dom(X3)) ),
    inference(subsumption_resolution,[],[f403,f123]) ).

fof(f403,plain,
    ! [X2,X3,X0,X1] :
      ( ~ function(X3)
      | ~ relation(X3)
      | ~ in(ordered_pair(X1,X2),relation_composition(X3,X0))
      | ~ relation(X0)
      | ~ relation(relation_composition(X3,X0))
      | sK7(X3,X0,X1,X2) = apply(X3,X1)
      | ~ in(X1,relation_dom(X3)) ),
    inference(duplicate_literal_removal,[],[f395]) ).

fof(f395,plain,
    ! [X2,X3,X0,X1] :
      ( ~ relation(X0)
      | ~ relation(X3)
      | ~ in(X1,relation_dom(X3))
      | ~ relation(X3)
      | ~ function(X3)
      | ~ relation(relation_composition(X3,X0))
      | ~ in(ordered_pair(X1,X2),relation_composition(X3,X0))
      | sK7(X3,X0,X1,X2) = apply(X3,X1) ),
    inference(resolution,[],[f176,f135]) ).

fof(f388,plain,
    ! [X2,X3,X0,X1] :
      ( ~ in(sK7(X2,X3,X0,X1),relation_dom(X3))
      | ~ in(ordered_pair(X0,X1),relation_composition(X2,X3))
      | apply(X3,sK7(X2,X3,X0,X1)) = X1
      | ~ function(X3)
      | ~ relation(X3)
      | ~ relation(X2) ),
    inference(subsumption_resolution,[],[f386,f123]) ).

fof(f386,plain,
    ! [X2,X3,X0,X1] :
      ( ~ relation(relation_composition(X2,X3))
      | ~ in(sK7(X2,X3,X0,X1),relation_dom(X3))
      | ~ relation(X2)
      | ~ in(ordered_pair(X0,X1),relation_composition(X2,X3))
      | ~ relation(X3)
      | apply(X3,sK7(X2,X3,X0,X1)) = X1
      | ~ function(X3) ),
    inference(duplicate_literal_removal,[],[f378]) ).

fof(f378,plain,
    ! [X2,X3,X0,X1] :
      ( ~ relation(X2)
      | ~ in(sK7(X2,X3,X0,X1),relation_dom(X3))
      | ~ relation(relation_composition(X2,X3))
      | apply(X3,sK7(X2,X3,X0,X1)) = X1
      | ~ relation(X3)
      | ~ relation(X3)
      | ~ function(X3)
      | ~ in(ordered_pair(X0,X1),relation_composition(X2,X3)) ),
    inference(resolution,[],[f175,f135]) ).

fof(f175,plain,
    ! [X3,X0,X1,X4] :
      ( in(ordered_pair(sK7(X0,X1,X3,X4),X4),X1)
      | ~ in(ordered_pair(X3,X4),relation_composition(X0,X1))
      | ~ relation(relation_composition(X0,X1))
      | ~ relation(X1)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f145]) ).

fof(f145,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ relation(X2)
      | in(ordered_pair(sK7(X0,X1,X3,X4),X4),X1)
      | ~ in(ordered_pair(X3,X4),X2)
      | relation_composition(X0,X1) != X2
      | ~ relation(X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f1601,plain,
    ( ~ in(ordered_pair(sK2,sF21),relation_composition(sK3,sK1))
    | in(sF19,relation_dom(sK1)) ),
    inference(subsumption_resolution,[],[f1600,f117]) ).

fof(f1600,plain,
    ( ~ relation(sK1)
    | in(sF19,relation_dom(sK1))
    | ~ in(ordered_pair(sK2,sF21),relation_composition(sK3,sK1)) ),
    inference(subsumption_resolution,[],[f1576,f118]) ).

fof(f1576,plain,
    ( ~ in(ordered_pair(sK2,sF21),relation_composition(sK3,sK1))
    | ~ relation(sK3)
    | in(sF19,relation_dom(sK1))
    | ~ relation(sK1) ),
    inference(superposition,[],[f394,f1561]) ).

fof(f394,plain,
    ! [X6,X7,X4,X5] :
      ( in(sK7(X6,X7,X4,X5),relation_dom(X7))
      | ~ relation(X6)
      | ~ relation(X7)
      | ~ in(ordered_pair(X4,X5),relation_composition(X6,X7)) ),
    inference(subsumption_resolution,[],[f385,f123]) ).

fof(f385,plain,
    ! [X6,X7,X4,X5] :
      ( ~ in(ordered_pair(X4,X5),relation_composition(X6,X7))
      | in(sK7(X6,X7,X4,X5),relation_dom(X7))
      | ~ relation(X7)
      | ~ relation(X6)
      | ~ relation(relation_composition(X6,X7)) ),
    inference(duplicate_literal_removal,[],[f379]) ).

fof(f379,plain,
    ! [X6,X7,X4,X5] :
      ( ~ relation(X7)
      | ~ relation(X7)
      | in(sK7(X6,X7,X4,X5),relation_dom(X7))
      | ~ relation(relation_composition(X6,X7))
      | ~ relation(X6)
      | ~ in(ordered_pair(X4,X5),relation_composition(X6,X7)) ),
    inference(resolution,[],[f175,f179]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEU214+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_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n022.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 14:50:56 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.47  % (15055)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.48  % (15064)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.49  % (15067)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.49  % (15072)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50  % (15065)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50  % (15052)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.50  % (15056)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (15066)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51  % (15057)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.51  % (15059)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.31/0.52  % (15076)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.31/0.52  % (15068)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.31/0.52  % (15071)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.31/0.52  % (15053)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.31/0.52  % (15073)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.31/0.53  % (15074)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.31/0.53  % (15055)Instruction limit reached!
% 1.31/0.53  % (15055)------------------------------
% 1.31/0.53  % (15055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.53  % (15055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.53  % (15070)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.31/0.53  % (15077)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.31/0.53  TRYING [1]
% 1.31/0.53  % (15063)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.31/0.53  TRYING [2]
% 1.43/0.53  % (15080)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.43/0.53  % (15079)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.43/0.54  TRYING [1]
% 1.43/0.54  % (15081)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.43/0.54  TRYING [2]
% 1.43/0.54  % (15053)Refutation not found, incomplete strategy% (15053)------------------------------
% 1.43/0.54  % (15053)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.54  % (15053)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.54  % (15053)Termination reason: Refutation not found, incomplete strategy
% 1.43/0.54  
% 1.43/0.54  % (15053)Memory used [KB]: 5628
% 1.43/0.54  % (15053)Time elapsed: 0.101 s
% 1.43/0.54  % (15053)Instructions burned: 11 (million)
% 1.43/0.54  % (15053)------------------------------
% 1.43/0.54  % (15053)------------------------------
% 1.43/0.54  % (15075)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.43/0.54  % (15062)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.43/0.54  % (15061)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.43/0.54  % (15054)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.43/0.54  % (15061)Instruction limit reached!
% 1.43/0.54  % (15061)------------------------------
% 1.43/0.54  % (15061)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.54  % (15061)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.54  % (15061)Termination reason: Unknown
% 1.43/0.54  % (15061)Termination phase: Preprocessing 3
% 1.43/0.54  
% 1.43/0.54  % (15061)Memory used [KB]: 895
% 1.43/0.54  % (15061)Time elapsed: 0.002 s
% 1.43/0.54  % (15061)Instructions burned: 2 (million)
% 1.43/0.54  % (15061)------------------------------
% 1.43/0.54  % (15061)------------------------------
% 1.43/0.54  % (15082)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.43/0.55  % (15069)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.43/0.55  % (15060)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.43/0.55  % (15055)Termination reason: Unknown
% 1.43/0.55  % (15055)Termination phase: Saturation
% 1.43/0.55  
% 1.43/0.55  % (15055)Memory used [KB]: 5884
% 1.43/0.55  % (15055)Time elapsed: 0.138 s
% 1.43/0.55  % (15055)Instructions burned: 52 (million)
% 1.43/0.55  % (15055)------------------------------
% 1.43/0.55  % (15055)------------------------------
% 1.43/0.55  % (15060)Instruction limit reached!
% 1.43/0.55  % (15060)------------------------------
% 1.43/0.55  % (15060)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.55  % (15060)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.55  % (15060)Termination reason: Unknown
% 1.43/0.55  % (15060)Termination phase: Saturation
% 1.43/0.55  
% 1.43/0.55  % (15060)Memory used [KB]: 5628
% 1.43/0.55  % (15060)Time elapsed: 0.125 s
% 1.43/0.55  % (15060)Instructions burned: 8 (million)
% 1.43/0.55  % (15060)------------------------------
% 1.43/0.55  % (15060)------------------------------
% 1.43/0.55  % (15078)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.43/0.56  TRYING [3]
% 1.43/0.56  TRYING [3]
% 1.43/0.56  TRYING [1]
% 1.43/0.57  TRYING [2]
% 1.43/0.58  TRYING [3]
% 1.43/0.58  % (15059)Instruction limit reached!
% 1.43/0.58  % (15059)------------------------------
% 1.43/0.58  % (15059)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.59  % (15057)Instruction limit reached!
% 1.43/0.59  % (15057)------------------------------
% 1.43/0.59  % (15057)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.59  % (15059)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.59  % (15059)Termination reason: Unknown
% 1.43/0.59  % (15059)Termination phase: Finite model building constraint generation
% 1.43/0.59  
% 1.43/0.59  % (15059)Memory used [KB]: 8315
% 1.43/0.59  % (15059)Time elapsed: 0.180 s
% 1.43/0.59  % (15059)Instructions burned: 53 (million)
% 1.43/0.59  % (15059)------------------------------
% 1.43/0.59  % (15059)------------------------------
% 1.43/0.60  % (15054)Instruction limit reached!
% 1.43/0.60  % (15054)------------------------------
% 1.43/0.60  % (15054)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.60  % (15057)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.60  % (15057)Termination reason: Unknown
% 1.43/0.60  % (15057)Termination phase: Saturation
% 1.43/0.60  
% 1.43/0.60  % (15057)Memory used [KB]: 5756
% 1.43/0.60  % (15057)Time elapsed: 0.193 s
% 1.43/0.60  % (15057)Instructions burned: 49 (million)
% 1.43/0.60  % (15057)------------------------------
% 1.43/0.60  % (15057)------------------------------
% 1.43/0.60  % (15063)Instruction limit reached!
% 1.43/0.60  % (15063)------------------------------
% 1.43/0.60  % (15063)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.61  % (15064)Instruction limit reached!
% 1.43/0.61  % (15064)------------------------------
% 1.43/0.61  % (15064)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.61  % (15070)Instruction limit reached!
% 1.43/0.61  % (15070)------------------------------
% 1.43/0.61  % (15070)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.61  % (15070)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.61  % (15070)Termination reason: Unknown
% 1.43/0.61  % (15070)Termination phase: Finite model building constraint generation
% 1.43/0.61  
% 1.43/0.61  % (15070)Memory used [KB]: 8571
% 1.43/0.61  % (15070)Time elapsed: 0.214 s
% 1.43/0.61  % (15070)Instructions burned: 59 (million)
% 1.43/0.61  % (15070)------------------------------
% 1.43/0.61  % (15070)------------------------------
% 1.43/0.62  % (15067)Instruction limit reached!
% 1.43/0.62  % (15067)------------------------------
% 1.43/0.62  % (15067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.62  % (15067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.62  % (15067)Termination reason: Unknown
% 1.43/0.62  % (15067)Termination phase: Saturation
% 1.43/0.62  
% 1.43/0.62  % (15067)Memory used [KB]: 6780
% 1.43/0.62  % (15067)Time elapsed: 0.039 s
% 1.43/0.62  % (15067)Instructions burned: 69 (million)
% 1.43/0.62  % (15067)------------------------------
% 1.43/0.62  % (15067)------------------------------
% 1.43/0.62  % (15054)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.62  % (15054)Termination reason: Unknown
% 1.43/0.62  % (15054)Termination phase: Saturation
% 1.43/0.62  
% 1.43/0.62  % (15054)Memory used [KB]: 1535
% 1.43/0.62  % (15054)Time elapsed: 0.180 s
% 1.43/0.62  % (15054)Instructions burned: 37 (million)
% 1.43/0.62  % (15054)------------------------------
% 1.43/0.62  % (15054)------------------------------
% 1.43/0.62  % (15056)Instruction limit reached!
% 1.43/0.62  % (15056)------------------------------
% 1.43/0.62  % (15056)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.62  % (15056)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.62  % (15056)Termination reason: Unknown
% 1.43/0.62  % (15056)Termination phase: Saturation
% 1.43/0.62  
% 1.43/0.62  % (15056)Memory used [KB]: 6652
% 1.43/0.62  % (15056)Time elapsed: 0.204 s
% 1.43/0.62  % (15056)Instructions burned: 52 (million)
% 1.43/0.62  % (15056)------------------------------
% 1.43/0.62  % (15056)------------------------------
% 1.43/0.62  % (15062)Instruction limit reached!
% 1.43/0.62  % (15062)------------------------------
% 1.43/0.62  % (15062)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.62  % (15062)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.62  % (15062)Termination reason: Unknown
% 1.43/0.62  % (15062)Termination phase: Saturation
% 1.43/0.62  
% 1.43/0.62  % (15062)Memory used [KB]: 1407
% 1.43/0.62  % (15062)Time elapsed: 0.221 s
% 1.43/0.62  % (15062)Instructions burned: 51 (million)
% 1.43/0.62  % (15062)------------------------------
% 1.43/0.62  % (15062)------------------------------
% 1.43/0.62  % (15068)Instruction limit reached!
% 1.43/0.62  % (15068)------------------------------
% 1.43/0.62  % (15068)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.62  % (15068)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.62  % (15068)Termination reason: Unknown
% 1.43/0.62  % (15068)Termination phase: Saturation
% 1.43/0.62  
% 1.43/0.62  % (15068)Memory used [KB]: 2174
% 1.43/0.62  % (15068)Time elapsed: 0.180 s
% 1.43/0.62  % (15068)Instructions burned: 75 (million)
% 1.43/0.62  % (15068)------------------------------
% 1.43/0.62  % (15068)------------------------------
% 2.17/0.62  % (15063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.62  % (15063)Termination reason: Unknown
% 2.17/0.62  % (15063)Termination phase: Saturation
% 2.17/0.62  
% 2.17/0.62  % (15063)Memory used [KB]: 6268
% 2.17/0.62  % (15063)Time elapsed: 0.191 s
% 2.17/0.62  % (15063)Instructions burned: 50 (million)
% 2.17/0.62  % (15063)------------------------------
% 2.17/0.62  % (15063)------------------------------
% 2.17/0.63  % (15079)Instruction limit reached!
% 2.17/0.63  % (15079)------------------------------
% 2.17/0.63  % (15079)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.63  % (15064)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.63  % (15064)Termination reason: Unknown
% 2.17/0.63  % (15064)Termination phase: Saturation
% 2.17/0.63  
% 2.17/0.63  % (15064)Memory used [KB]: 6268
% 2.17/0.63  % (15064)Time elapsed: 0.224 s
% 2.17/0.63  % (15064)Instructions burned: 100 (million)
% 2.17/0.63  % (15064)------------------------------
% 2.17/0.63  % (15064)------------------------------
% 2.17/0.63  % (15079)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.63  % (15079)Termination reason: Unknown
% 2.17/0.63  % (15079)Termination phase: Saturation
% 2.17/0.63  
% 2.17/0.63  % (15079)Memory used [KB]: 6780
% 2.17/0.63  % (15079)Time elapsed: 0.065 s
% 2.17/0.63  % (15079)Instructions burned: 70 (million)
% 2.17/0.63  % (15079)------------------------------
% 2.17/0.63  % (15079)------------------------------
% 2.17/0.64  % (15065)Instruction limit reached!
% 2.17/0.64  % (15065)------------------------------
% 2.17/0.64  % (15065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.65  % (15066)Instruction limit reached!
% 2.17/0.65  % (15066)------------------------------
% 2.17/0.65  % (15066)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.66  % (15182)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.17/0.66  % (15072)Instruction limit reached!
% 2.17/0.66  % (15072)------------------------------
% 2.17/0.66  % (15072)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.66  % (15072)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.66  % (15072)Termination reason: Unknown
% 2.17/0.66  % (15072)Termination phase: Saturation
% 2.17/0.66  
% 2.17/0.66  % (15072)Memory used [KB]: 2174
% 2.17/0.66  % (15072)Time elapsed: 0.251 s
% 2.17/0.66  % (15072)Instructions burned: 101 (million)
% 2.17/0.66  % (15072)------------------------------
% 2.17/0.66  % (15072)------------------------------
% 2.17/0.67  % (15065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.67  % (15065)Termination reason: Unknown
% 2.17/0.67  % (15065)Termination phase: Saturation
% 2.17/0.67  
% 2.17/0.67  % (15065)Memory used [KB]: 6396
% 2.17/0.67  % (15065)Time elapsed: 0.230 s
% 2.17/0.67  % (15065)Instructions burned: 102 (million)
% 2.17/0.67  % (15065)------------------------------
% 2.17/0.67  % (15065)------------------------------
% 2.17/0.67  % (15066)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.67  % (15066)Termination reason: Unknown
% 2.17/0.67  % (15066)Termination phase: Saturation
% 2.17/0.67  
% 2.17/0.67  % (15066)Memory used [KB]: 6396
% 2.17/0.67  % (15066)Time elapsed: 0.242 s
% 2.17/0.67  % (15066)Instructions burned: 99 (million)
% 2.17/0.67  % (15066)------------------------------
% 2.17/0.67  % (15066)------------------------------
% 2.17/0.67  % (15183)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.17/0.68  % (15185)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.44/0.69  % (15184)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.44/0.70  % (15071)Instruction limit reached!
% 2.44/0.70  % (15071)------------------------------
% 2.44/0.70  % (15071)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.70  % (15071)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.70  % (15071)Termination reason: Unknown
% 2.44/0.70  % (15071)Termination phase: Saturation
% 2.44/0.70  
% 2.44/0.70  % (15071)Memory used [KB]: 6780
% 2.44/0.70  % (15071)Time elapsed: 0.278 s
% 2.44/0.70  % (15071)Instructions burned: 100 (million)
% 2.44/0.70  % (15071)------------------------------
% 2.44/0.70  % (15071)------------------------------
% 2.44/0.71  % (15069)Instruction limit reached!
% 2.44/0.71  % (15069)------------------------------
% 2.44/0.71  % (15069)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.72  % (15080)First to succeed.
% 2.44/0.72  % (15069)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.72  % (15069)Termination reason: Unknown
% 2.44/0.72  % (15069)Termination phase: Saturation
% 2.44/0.72  
% 2.44/0.72  % (15069)Memory used [KB]: 6396
% 2.44/0.72  % (15069)Time elapsed: 0.322 s
% 2.44/0.72  % (15069)Instructions burned: 99 (million)
% 2.44/0.72  % (15069)------------------------------
% 2.44/0.72  % (15069)------------------------------
% 2.44/0.72  % (15196)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.44/0.73  TRYING [4]
% 2.44/0.73  % (15203)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.44/0.73  % (15210)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.44/0.74  % (15209)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.44/0.74  % (15206)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.44/0.74  % (15200)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.44/0.75  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.44/0.75  % (15208)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.44/0.75  % (15080)Refutation found. Thanks to Tanya!
% 2.44/0.75  % SZS status Theorem for theBenchmark
% 2.44/0.75  % SZS output start Proof for theBenchmark
% See solution above
% 2.44/0.75  % (15080)------------------------------
% 2.44/0.75  % (15080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.75  % (15080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.75  % (15080)Termination reason: Refutation
% 2.44/0.75  
% 2.44/0.75  % (15080)Memory used [KB]: 2814
% 2.44/0.75  % (15080)Time elapsed: 0.289 s
% 2.44/0.75  % (15080)Instructions burned: 116 (million)
% 2.44/0.75  % (15080)------------------------------
% 2.44/0.75  % (15080)------------------------------
% 2.44/0.75  % (15050)Success in time 0.391 s
%------------------------------------------------------------------------------