TSTP Solution File: SEU071+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU071+1 : 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_sat --cores 0 -t %d %s

% Computer : n006.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 18:31:52 EDT 2022

% Result   : Theorem 3.10s 0.86s
% Output   : Refutation 3.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   65 (  14 unt;   0 def)
%            Number of atoms       :  401 (  76 equ)
%            Maximal formula atoms :   20 (   6 avg)
%            Number of connectives :  523 ( 187   ~; 182   |; 117   &)
%                                         (  18 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   2 con; 0-3 aty)
%            Number of variables   :  192 ( 159   !;  33   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f909,plain,
    $false,
    inference(subsumption_resolution,[],[f899,f206]) ).

fof(f206,plain,
    ~ in(sK8(sK10,relation_inverse_image(sK9,relation_image(sK9,sK10))),sK10),
    inference(unit_resulting_resolution,[],[f148,f145]) ).

fof(f145,plain,
    ! [X0,X1] :
      ( ~ in(sK8(X0,X1),X0)
      | subset(X1,X0) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( in(X2,X0)
            | ~ in(X2,X1) )
        | ~ subset(X1,X0) )
      & ( subset(X1,X0)
        | ( ~ in(sK8(X0,X1),X0)
          & in(sK8(X0,X1),X1) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f94,f95]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( ~ in(X3,X0)
          & in(X3,X1) )
     => ( ~ in(sK8(X0,X1),X0)
        & in(sK8(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( in(X2,X0)
            | ~ in(X2,X1) )
        | ~ subset(X1,X0) )
      & ( subset(X1,X0)
        | ? [X3] :
            ( ~ in(X3,X0)
            & in(X3,X1) ) ) ),
    inference(rectify,[],[f93]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( in(X2,X0)
            | ~ in(X2,X1) )
        | ~ subset(X1,X0) )
      & ( subset(X1,X0)
        | ? [X2] :
            ( ~ in(X2,X0)
            & in(X2,X1) ) ) ),
    inference(nnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( in(X2,X0)
          | ~ in(X2,X1) )
    <=> subset(X1,X0) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X1,X0] :
      ( subset(X1,X0)
    <=> ! [X2] :
          ( in(X2,X1)
         => in(X2,X0) ) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X1,X0] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

fof(f148,plain,
    ~ subset(relation_inverse_image(sK9,relation_image(sK9,sK10)),sK10),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ( one_to_one(sK9)
    & function(sK9)
    & relation(sK9)
    & ~ subset(relation_inverse_image(sK9,relation_image(sK9,sK10)),sK10) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f67,f97]) ).

fof(f97,plain,
    ( ? [X0,X1] :
        ( one_to_one(X0)
        & function(X0)
        & relation(X0)
        & ~ subset(relation_inverse_image(X0,relation_image(X0,X1)),X1) )
   => ( one_to_one(sK9)
      & function(sK9)
      & relation(sK9)
      & ~ subset(relation_inverse_image(sK9,relation_image(sK9,sK10)),sK10) ) ),
    introduced(choice_axiom,[]) ).

fof(f67,plain,
    ? [X0,X1] :
      ( one_to_one(X0)
      & function(X0)
      & relation(X0)
      & ~ subset(relation_inverse_image(X0,relation_image(X0,X1)),X1) ),
    inference(flattening,[],[f66]) ).

fof(f66,plain,
    ? [X1,X0] :
      ( ~ subset(relation_inverse_image(X0,relation_image(X0,X1)),X1)
      & one_to_one(X0)
      & relation(X0)
      & function(X0) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,plain,
    ~ ! [X1,X0] :
        ( ( relation(X0)
          & function(X0) )
       => ( one_to_one(X0)
         => subset(relation_inverse_image(X0,relation_image(X0,X1)),X1) ) ),
    inference(rectify,[],[f28]) ).

fof(f28,negated_conjecture,
    ~ ! [X1,X0] :
        ( ( function(X1)
          & relation(X1) )
       => ( one_to_one(X1)
         => subset(relation_inverse_image(X1,relation_image(X1,X0)),X0) ) ),
    inference(negated_conjecture,[],[f27]) ).

fof(f27,conjecture,
    ! [X1,X0] :
      ( ( function(X1)
        & relation(X1) )
     => ( one_to_one(X1)
       => subset(relation_inverse_image(X1,relation_image(X1,X0)),X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t152_funct_1) ).

fof(f899,plain,
    in(sK8(sK10,relation_inverse_image(sK9,relation_image(sK9,sK10))),sK10),
    inference(backward_demodulation,[],[f522,f882]) ).

fof(f882,plain,
    sK18(sK9,sK10,apply(sK9,sK8(sK10,relation_inverse_image(sK9,relation_image(sK9,sK10))))) = sK8(sK10,relation_inverse_image(sK9,relation_image(sK9,sK10))),
    inference(unit_resulting_resolution,[],[f151,f150,f149,f297,f521,f520,f129]) ).

fof(f129,plain,
    ! [X2,X0,X1] :
      ( apply(X0,X1) != apply(X0,X2)
      | ~ one_to_one(X0)
      | ~ in(X2,relation_dom(X0))
      | X1 = X2
      | ~ relation(X0)
      | ~ function(X0)
      | ~ in(X1,relation_dom(X0)) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ( ( ! [X1,X2] :
              ( apply(X0,X1) != apply(X0,X2)
              | X1 = X2
              | ~ in(X1,relation_dom(X0))
              | ~ in(X2,relation_dom(X0)) )
          | ~ one_to_one(X0) )
        & ( one_to_one(X0)
          | ( apply(X0,sK1(X0)) = apply(X0,sK2(X0))
            & sK2(X0) != sK1(X0)
            & in(sK1(X0),relation_dom(X0))
            & in(sK2(X0),relation_dom(X0)) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f76,f77]) ).

fof(f77,plain,
    ! [X0] :
      ( ? [X3,X4] :
          ( apply(X0,X4) = apply(X0,X3)
          & X3 != X4
          & in(X3,relation_dom(X0))
          & in(X4,relation_dom(X0)) )
     => ( apply(X0,sK1(X0)) = apply(X0,sK2(X0))
        & sK2(X0) != sK1(X0)
        & in(sK1(X0),relation_dom(X0))
        & in(sK2(X0),relation_dom(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f76,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ( ( ! [X1,X2] :
              ( apply(X0,X1) != apply(X0,X2)
              | X1 = X2
              | ~ in(X1,relation_dom(X0))
              | ~ in(X2,relation_dom(X0)) )
          | ~ one_to_one(X0) )
        & ( one_to_one(X0)
          | ? [X3,X4] :
              ( apply(X0,X4) = apply(X0,X3)
              & X3 != X4
              & in(X3,relation_dom(X0))
              & in(X4,relation_dom(X0)) ) ) ) ),
    inference(rectify,[],[f75]) ).

fof(f75,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ( ( ! [X1,X2] :
              ( apply(X0,X1) != apply(X0,X2)
              | X1 = X2
              | ~ in(X1,relation_dom(X0))
              | ~ in(X2,relation_dom(X0)) )
          | ~ one_to_one(X0) )
        & ( one_to_one(X0)
          | ? [X1,X2] :
              ( apply(X0,X1) = apply(X0,X2)
              & X1 != X2
              & in(X1,relation_dom(X0))
              & in(X2,relation_dom(X0)) ) ) ) ),
    inference(nnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ( ! [X1,X2] :
            ( apply(X0,X1) != apply(X0,X2)
            | X1 = X2
            | ~ in(X1,relation_dom(X0))
            | ~ in(X2,relation_dom(X0)) )
      <=> one_to_one(X0) ) ),
    inference(flattening,[],[f63]) ).

fof(f63,plain,
    ! [X0] :
      ( ( one_to_one(X0)
      <=> ! [X2,X1] :
            ( X1 = X2
            | ~ in(X1,relation_dom(X0))
            | ~ in(X2,relation_dom(X0))
            | apply(X0,X1) != apply(X0,X2) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( ( relation(X0)
        & function(X0) )
     => ( one_to_one(X0)
      <=> ! [X2,X1] :
            ( ( in(X1,relation_dom(X0))
              & in(X2,relation_dom(X0))
              & apply(X0,X1) = apply(X0,X2) )
           => X1 = X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funct_1) ).

fof(f520,plain,
    apply(sK9,sK8(sK10,relation_inverse_image(sK9,relation_image(sK9,sK10)))) = apply(sK9,sK18(sK9,sK10,apply(sK9,sK8(sK10,relation_inverse_image(sK9,relation_image(sK9,sK10)))))),
    inference(unit_resulting_resolution,[],[f150,f149,f296,f197]) ).

fof(f197,plain,
    ! [X2,X0,X6] :
      ( ~ in(X6,relation_image(X0,X2))
      | apply(X0,sK18(X0,X2,X6)) = X6
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(equality_resolution,[],[f166]) ).

fof(f166,plain,
    ! [X2,X0,X1,X6] :
      ( apply(X0,sK18(X0,X2,X6)) = X6
      | ~ in(X6,X1)
      | relation_image(X0,X2) != X1
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relation_image(X0,X2) = X1
            | ( ( ! [X4] :
                    ( ~ in(X4,X2)
                    | apply(X0,X4) != sK16(X0,X1,X2)
                    | ~ in(X4,relation_dom(X0)) )
                | ~ in(sK16(X0,X1,X2),X1) )
              & ( ( in(sK17(X0,X1,X2),X2)
                  & apply(X0,sK17(X0,X1,X2)) = sK16(X0,X1,X2)
                  & in(sK17(X0,X1,X2),relation_dom(X0)) )
                | in(sK16(X0,X1,X2),X1) ) ) )
          & ( ! [X6] :
                ( ( in(X6,X1)
                  | ! [X7] :
                      ( ~ in(X7,X2)
                      | apply(X0,X7) != X6
                      | ~ in(X7,relation_dom(X0)) ) )
                & ( ( in(sK18(X0,X2,X6),X2)
                    & apply(X0,sK18(X0,X2,X6)) = X6
                    & in(sK18(X0,X2,X6),relation_dom(X0)) )
                  | ~ in(X6,X1) ) )
            | relation_image(X0,X2) != X1 ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18])],[f111,f114,f113,f112]) ).

fof(f112,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ! [X4] :
                ( ~ in(X4,X2)
                | apply(X0,X4) != X3
                | ~ in(X4,relation_dom(X0)) )
            | ~ in(X3,X1) )
          & ( ? [X5] :
                ( in(X5,X2)
                & apply(X0,X5) = X3
                & in(X5,relation_dom(X0)) )
            | in(X3,X1) ) )
     => ( ( ! [X4] :
              ( ~ in(X4,X2)
              | apply(X0,X4) != sK16(X0,X1,X2)
              | ~ in(X4,relation_dom(X0)) )
          | ~ in(sK16(X0,X1,X2),X1) )
        & ( ? [X5] :
              ( in(X5,X2)
              & apply(X0,X5) = sK16(X0,X1,X2)
              & in(X5,relation_dom(X0)) )
          | in(sK16(X0,X1,X2),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f113,plain,
    ! [X0,X1,X2] :
      ( ? [X5] :
          ( in(X5,X2)
          & apply(X0,X5) = sK16(X0,X1,X2)
          & in(X5,relation_dom(X0)) )
     => ( in(sK17(X0,X1,X2),X2)
        & apply(X0,sK17(X0,X1,X2)) = sK16(X0,X1,X2)
        & in(sK17(X0,X1,X2),relation_dom(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f114,plain,
    ! [X0,X2,X6] :
      ( ? [X8] :
          ( in(X8,X2)
          & apply(X0,X8) = X6
          & in(X8,relation_dom(X0)) )
     => ( in(sK18(X0,X2,X6),X2)
        & apply(X0,sK18(X0,X2,X6)) = X6
        & in(sK18(X0,X2,X6),relation_dom(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f111,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relation_image(X0,X2) = X1
            | ? [X3] :
                ( ( ! [X4] :
                      ( ~ in(X4,X2)
                      | apply(X0,X4) != X3
                      | ~ in(X4,relation_dom(X0)) )
                  | ~ in(X3,X1) )
                & ( ? [X5] :
                      ( in(X5,X2)
                      & apply(X0,X5) = X3
                      & in(X5,relation_dom(X0)) )
                  | in(X3,X1) ) ) )
          & ( ! [X6] :
                ( ( in(X6,X1)
                  | ! [X7] :
                      ( ~ in(X7,X2)
                      | apply(X0,X7) != X6
                      | ~ in(X7,relation_dom(X0)) ) )
                & ( ? [X8] :
                      ( in(X8,X2)
                      & apply(X0,X8) = X6
                      & in(X8,relation_dom(X0)) )
                  | ~ in(X6,X1) ) )
            | relation_image(X0,X2) != X1 ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(rectify,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( ! [X2,X1] :
          ( ( relation_image(X0,X1) = X2
            | ? [X3] :
                ( ( ! [X4] :
                      ( ~ in(X4,X1)
                      | apply(X0,X4) != X3
                      | ~ in(X4,relation_dom(X0)) )
                  | ~ in(X3,X2) )
                & ( ? [X4] :
                      ( in(X4,X1)
                      & apply(X0,X4) = X3
                      & in(X4,relation_dom(X0)) )
                  | in(X3,X2) ) ) )
          & ( ! [X3] :
                ( ( in(X3,X2)
                  | ! [X4] :
                      ( ~ in(X4,X1)
                      | apply(X0,X4) != X3
                      | ~ in(X4,relation_dom(X0)) ) )
                & ( ? [X4] :
                      ( in(X4,X1)
                      & apply(X0,X4) = X3
                      & in(X4,relation_dom(X0)) )
                  | ~ in(X3,X2) ) )
            | relation_image(X0,X1) != X2 ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0] :
      ( ! [X2,X1] :
          ( relation_image(X0,X1) = X2
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( in(X4,X1)
                  & apply(X0,X4) = X3
                  & in(X4,relation_dom(X0)) ) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(flattening,[],[f61]) ).

fof(f61,plain,
    ! [X0] :
      ( ! [X2,X1] :
          ( relation_image(X0,X1) = X2
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( in(X4,X1)
                  & apply(X0,X4) = X3
                  & in(X4,relation_dom(X0)) ) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ! [X2,X1] :
          ( relation_image(X0,X1) = X2
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( in(X4,X1)
                  & apply(X0,X4) = X3
                  & in(X4,relation_dom(X0)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12_funct_1) ).

fof(f296,plain,
    in(apply(sK9,sK8(sK10,relation_inverse_image(sK9,relation_image(sK9,sK10)))),relation_image(sK9,sK10)),
    inference(unit_resulting_resolution,[],[f150,f149,f205,f193]) ).

fof(f193,plain,
    ! [X2,X0,X4] :
      ( in(apply(X0,X4),X2)
      | ~ relation(X0)
      | ~ in(X4,relation_inverse_image(X0,X2))
      | ~ function(X0) ),
    inference(equality_resolution,[],[f135]) ).

fof(f135,plain,
    ! [X2,X0,X1,X4] :
      ( ~ function(X0)
      | ~ relation(X0)
      | in(apply(X0,X4),X2)
      | ~ in(X4,X1)
      | relation_inverse_image(X0,X2) != X1 ),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ! [X1,X2] :
          ( ( relation_inverse_image(X0,X2) = X1
            | ( ( ~ in(sK6(X0,X1,X2),relation_dom(X0))
                | ~ in(apply(X0,sK6(X0,X1,X2)),X2)
                | ~ in(sK6(X0,X1,X2),X1) )
              & ( ( in(sK6(X0,X1,X2),relation_dom(X0))
                  & in(apply(X0,sK6(X0,X1,X2)),X2) )
                | in(sK6(X0,X1,X2),X1) ) ) )
          & ( ! [X4] :
                ( ( in(X4,X1)
                  | ~ in(X4,relation_dom(X0))
                  | ~ in(apply(X0,X4),X2) )
                & ( ( in(X4,relation_dom(X0))
                    & in(apply(X0,X4),X2) )
                  | ~ in(X4,X1) ) )
            | relation_inverse_image(X0,X2) != X1 ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f87,f88]) ).

fof(f88,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ~ in(X3,relation_dom(X0))
            | ~ in(apply(X0,X3),X2)
            | ~ in(X3,X1) )
          & ( ( in(X3,relation_dom(X0))
              & in(apply(X0,X3),X2) )
            | in(X3,X1) ) )
     => ( ( ~ in(sK6(X0,X1,X2),relation_dom(X0))
          | ~ in(apply(X0,sK6(X0,X1,X2)),X2)
          | ~ in(sK6(X0,X1,X2),X1) )
        & ( ( in(sK6(X0,X1,X2),relation_dom(X0))
            & in(apply(X0,sK6(X0,X1,X2)),X2) )
          | in(sK6(X0,X1,X2),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f87,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ! [X1,X2] :
          ( ( relation_inverse_image(X0,X2) = X1
            | ? [X3] :
                ( ( ~ in(X3,relation_dom(X0))
                  | ~ in(apply(X0,X3),X2)
                  | ~ in(X3,X1) )
                & ( ( in(X3,relation_dom(X0))
                    & in(apply(X0,X3),X2) )
                  | in(X3,X1) ) ) )
          & ( ! [X4] :
                ( ( in(X4,X1)
                  | ~ in(X4,relation_dom(X0))
                  | ~ in(apply(X0,X4),X2) )
                & ( ( in(X4,relation_dom(X0))
                    & in(apply(X0,X4),X2) )
                  | ~ in(X4,X1) ) )
            | relation_inverse_image(X0,X2) != X1 ) ) ),
    inference(rectify,[],[f86]) ).

fof(f86,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ! [X2,X1] :
          ( ( relation_inverse_image(X0,X1) = X2
            | ? [X3] :
                ( ( ~ in(X3,relation_dom(X0))
                  | ~ in(apply(X0,X3),X1)
                  | ~ in(X3,X2) )
                & ( ( in(X3,relation_dom(X0))
                    & in(apply(X0,X3),X1) )
                  | in(X3,X2) ) ) )
          & ( ! [X3] :
                ( ( in(X3,X2)
                  | ~ in(X3,relation_dom(X0))
                  | ~ in(apply(X0,X3),X1) )
                & ( ( in(X3,relation_dom(X0))
                    & in(apply(X0,X3),X1) )
                  | ~ in(X3,X2) ) )
            | relation_inverse_image(X0,X1) != X2 ) ) ),
    inference(flattening,[],[f85]) ).

fof(f85,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ! [X2,X1] :
          ( ( relation_inverse_image(X0,X1) = X2
            | ? [X3] :
                ( ( ~ in(X3,relation_dom(X0))
                  | ~ in(apply(X0,X3),X1)
                  | ~ in(X3,X2) )
                & ( ( in(X3,relation_dom(X0))
                    & in(apply(X0,X3),X1) )
                  | in(X3,X2) ) ) )
          & ( ! [X3] :
                ( ( in(X3,X2)
                  | ~ in(X3,relation_dom(X0))
                  | ~ in(apply(X0,X3),X1) )
                & ( ( in(X3,relation_dom(X0))
                    & in(apply(X0,X3),X1) )
                  | ~ in(X3,X2) ) )
            | relation_inverse_image(X0,X1) != X2 ) ) ),
    inference(nnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ! [X2,X1] :
          ( relation_inverse_image(X0,X1) = X2
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ( in(X3,relation_dom(X0))
                & in(apply(X0,X3),X1) ) ) ) ),
    inference(flattening,[],[f55]) ).

fof(f55,plain,
    ! [X0] :
      ( ! [X2,X1] :
          ( relation_inverse_image(X0,X1) = X2
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ( in(X3,relation_dom(X0))
                & in(apply(X0,X3),X1) ) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ! [X2,X1] :
          ( relation_inverse_image(X0,X1) = X2
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ( in(X3,relation_dom(X0))
                & in(apply(X0,X3),X1) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_funct_1) ).

fof(f205,plain,
    in(sK8(sK10,relation_inverse_image(sK9,relation_image(sK9,sK10))),relation_inverse_image(sK9,relation_image(sK9,sK10))),
    inference(unit_resulting_resolution,[],[f148,f144]) ).

fof(f144,plain,
    ! [X0,X1] :
      ( in(sK8(X0,X1),X1)
      | subset(X1,X0) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f521,plain,
    in(sK18(sK9,sK10,apply(sK9,sK8(sK10,relation_inverse_image(sK9,relation_image(sK9,sK10))))),relation_dom(sK9)),
    inference(unit_resulting_resolution,[],[f149,f150,f296,f198]) ).

fof(f198,plain,
    ! [X2,X0,X6] :
      ( in(sK18(X0,X2,X6),relation_dom(X0))
      | ~ function(X0)
      | ~ in(X6,relation_image(X0,X2))
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f165]) ).

fof(f165,plain,
    ! [X2,X0,X1,X6] :
      ( in(sK18(X0,X2,X6),relation_dom(X0))
      | ~ in(X6,X1)
      | relation_image(X0,X2) != X1
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f297,plain,
    in(sK8(sK10,relation_inverse_image(sK9,relation_image(sK9,sK10))),relation_dom(sK9)),
    inference(unit_resulting_resolution,[],[f150,f149,f205,f192]) ).

fof(f192,plain,
    ! [X2,X0,X4] :
      ( ~ in(X4,relation_inverse_image(X0,X2))
      | ~ relation(X0)
      | in(X4,relation_dom(X0))
      | ~ function(X0) ),
    inference(equality_resolution,[],[f136]) ).

fof(f136,plain,
    ! [X2,X0,X1,X4] :
      ( ~ function(X0)
      | ~ relation(X0)
      | in(X4,relation_dom(X0))
      | ~ in(X4,X1)
      | relation_inverse_image(X0,X2) != X1 ),
    inference(cnf_transformation,[],[f89]) ).

fof(f149,plain,
    relation(sK9),
    inference(cnf_transformation,[],[f98]) ).

fof(f150,plain,
    function(sK9),
    inference(cnf_transformation,[],[f98]) ).

fof(f151,plain,
    one_to_one(sK9),
    inference(cnf_transformation,[],[f98]) ).

fof(f522,plain,
    in(sK18(sK9,sK10,apply(sK9,sK8(sK10,relation_inverse_image(sK9,relation_image(sK9,sK10))))),sK10),
    inference(unit_resulting_resolution,[],[f149,f150,f296,f196]) ).

fof(f196,plain,
    ! [X2,X0,X6] :
      ( in(sK18(X0,X2,X6),X2)
      | ~ relation(X0)
      | ~ function(X0)
      | ~ in(X6,relation_image(X0,X2)) ),
    inference(equality_resolution,[],[f167]) ).

fof(f167,plain,
    ! [X2,X0,X1,X6] :
      ( in(sK18(X0,X2,X6),X2)
      | ~ in(X6,X1)
      | relation_image(X0,X2) != X1
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f115]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEU071+1 : TPTP v8.1.0. Released v3.2.0.
% 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
% 0.14/0.35  % Computer : n006.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 14:35:10 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.22/0.52  % (20550)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.22/0.52  % (20541)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.52  % (20548)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)
% 0.22/0.53  % (20533)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)
% 0.22/0.53  TRYING [1]
% 0.22/0.53  % (20541)Instruction limit reached!
% 0.22/0.53  % (20541)------------------------------
% 0.22/0.53  % (20541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53  % (20541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.53  % (20541)Termination reason: Unknown
% 0.22/0.53  % (20541)Termination phase: Preprocessing 3
% 0.22/0.53  
% 0.22/0.53  % (20541)Memory used [KB]: 895
% 0.22/0.53  % (20541)Time elapsed: 0.004 s
% 0.22/0.53  % (20541)Instructions burned: 2 (million)
% 0.22/0.53  % (20541)------------------------------
% 0.22/0.53  % (20541)------------------------------
% 0.22/0.53  TRYING [1]
% 0.22/0.53  TRYING [2]
% 0.22/0.53  % (20542)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)
% 0.22/0.53  % (20537)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.54  % (20558)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.22/0.54  % (20539)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)
% 0.22/0.54  TRYING [2]
% 0.22/0.54  % (20540)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.54  TRYING [3]
% 0.22/0.54  TRYING [3]
% 0.22/0.54  % (20538)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)
% 0.22/0.54  % (20552)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)
% 0.22/0.54  % (20536)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)
% 0.22/0.54  % (20540)Instruction limit reached!
% 0.22/0.54  % (20540)------------------------------
% 0.22/0.54  % (20540)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54  % (20540)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54  % (20540)Termination reason: Unknown
% 0.22/0.54  % (20540)Termination phase: Saturation
% 0.22/0.54  
% 0.22/0.54  % (20540)Memory used [KB]: 5628
% 0.22/0.54  % (20540)Time elapsed: 0.140 s
% 0.22/0.54  % (20540)Instructions burned: 8 (million)
% 0.22/0.54  % (20540)------------------------------
% 0.22/0.54  % (20540)------------------------------
% 0.22/0.54  % (20534)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)
% 0.22/0.54  % (20535)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)
% 0.22/0.54  % (20557)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.22/0.55  % (20534)Refutation not found, incomplete strategy% (20534)------------------------------
% 0.22/0.55  % (20534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.55  % (20534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.55  % (20534)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.55  
% 0.22/0.55  % (20534)Memory used [KB]: 5628
% 0.22/0.55  % (20534)Time elapsed: 0.132 s
% 0.22/0.55  % (20534)Instructions burned: 6 (million)
% 0.22/0.55  % (20555)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)
% 0.22/0.55  % (20549)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)
% 0.22/0.55  % (20551)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.55  % (20556)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)
% 0.22/0.55  % (20547)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)
% 0.22/0.56  % (20545)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.22/0.56  % (20554)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.22/0.56  % (20544)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)
% 0.22/0.56  % (20543)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.22/0.56  % (20562)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)
% 0.22/0.56  TRYING [1]
% 0.22/0.56  TRYING [2]
% 0.22/0.56  % (20560)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)
% 0.22/0.56  TRYING [3]
% 0.22/0.56  % (20559)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)
% 0.22/0.57  % (20534)------------------------------
% 0.22/0.57  % (20534)------------------------------
% 0.22/0.57  % (20561)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.22/0.57  % (20546)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.22/0.57  % (20553)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)
% 0.22/0.58  % (20550)Instruction limit reached!
% 0.22/0.58  % (20550)------------------------------
% 0.22/0.58  % (20550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.58  % (20550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.58  % (20550)Termination reason: Unknown
% 0.22/0.58  % (20550)Termination phase: Finite model building SAT solving
% 0.22/0.58  
% 0.22/0.58  % (20550)Memory used [KB]: 7291
% 0.22/0.58  % (20550)Time elapsed: 0.167 s
% 0.22/0.58  % (20550)Instructions burned: 60 (million)
% 0.22/0.58  % (20550)------------------------------
% 0.22/0.58  % (20550)------------------------------
% 0.22/0.58  TRYING [4]
% 1.93/0.60  % (20535)Instruction limit reached!
% 1.93/0.60  % (20535)------------------------------
% 1.93/0.60  % (20535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.60  % (20535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.60  % (20535)Termination reason: Unknown
% 1.93/0.60  % (20535)Termination phase: Saturation
% 1.93/0.60  
% 1.93/0.60  % (20535)Memory used [KB]: 1535
% 1.93/0.60  % (20535)Time elapsed: 0.197 s
% 1.93/0.60  % (20535)Instructions burned: 38 (million)
% 1.93/0.60  % (20535)------------------------------
% 1.93/0.60  % (20535)------------------------------
% 1.93/0.61  % (20537)Instruction limit reached!
% 1.93/0.61  % (20537)------------------------------
% 1.93/0.61  % (20537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.61  % (20537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.61  % (20537)Termination reason: Unknown
% 1.93/0.61  % (20537)Termination phase: Saturation
% 1.93/0.61  
% 1.93/0.61  % (20537)Memory used [KB]: 6140
% 1.93/0.61  % (20537)Time elapsed: 0.198 s
% 1.93/0.61  % (20537)Instructions burned: 51 (million)
% 1.93/0.61  % (20537)------------------------------
% 1.93/0.61  % (20537)------------------------------
% 2.08/0.62  % (20539)Instruction limit reached!
% 2.08/0.62  % (20539)------------------------------
% 2.08/0.62  % (20539)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.62  % (20539)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.62  % (20539)Termination reason: Unknown
% 2.08/0.62  % (20539)Termination phase: Finite model building constraint generation
% 2.08/0.62  
% 2.08/0.62  % (20539)Memory used [KB]: 7547
% 2.08/0.62  % (20539)Time elapsed: 0.136 s
% 2.08/0.62  % (20539)Instructions burned: 52 (million)
% 2.08/0.62  % (20539)------------------------------
% 2.08/0.62  % (20539)------------------------------
% 2.12/0.63  % (20542)Instruction limit reached!
% 2.12/0.63  % (20542)------------------------------
% 2.12/0.63  % (20542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.63  % (20542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.63  % (20542)Termination reason: Unknown
% 2.12/0.63  % (20542)Termination phase: Saturation
% 2.12/0.63  
% 2.12/0.63  % (20542)Memory used [KB]: 1663
% 2.12/0.63  % (20542)Time elapsed: 0.210 s
% 2.12/0.63  % (20542)Instructions burned: 52 (million)
% 2.12/0.63  % (20542)------------------------------
% 2.12/0.63  % (20542)------------------------------
% 2.12/0.63  % (20538)Instruction limit reached!
% 2.12/0.63  % (20538)------------------------------
% 2.12/0.63  % (20538)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.63  % (20538)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.63  % (20538)Termination reason: Unknown
% 2.12/0.63  % (20538)Termination phase: Saturation
% 2.12/0.63  
% 2.12/0.63  % (20538)Memory used [KB]: 6012
% 2.12/0.63  % (20538)Time elapsed: 0.219 s
% 2.12/0.63  % (20538)Instructions burned: 49 (million)
% 2.12/0.63  % (20538)------------------------------
% 2.12/0.63  % (20538)------------------------------
% 2.12/0.65  % (20536)Instruction limit reached!
% 2.12/0.65  % (20536)------------------------------
% 2.12/0.65  % (20536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.65  % (20536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.65  % (20536)Termination reason: Unknown
% 2.12/0.65  % (20536)Termination phase: Saturation
% 2.12/0.65  
% 2.12/0.65  % (20536)Memory used [KB]: 6140
% 2.12/0.65  % (20536)Time elapsed: 0.222 s
% 2.12/0.65  % (20536)Instructions burned: 53 (million)
% 2.12/0.65  % (20536)------------------------------
% 2.12/0.65  % (20536)------------------------------
% 2.12/0.67  % (20559)Instruction limit reached!
% 2.12/0.67  % (20559)------------------------------
% 2.12/0.67  % (20559)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.67  % (20559)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.67  % (20559)Termination reason: Unknown
% 2.12/0.67  % (20559)Termination phase: Saturation
% 2.12/0.67  
% 2.12/0.67  % (20559)Memory used [KB]: 6780
% 2.12/0.67  % (20559)Time elapsed: 0.040 s
% 2.12/0.67  % (20559)Instructions burned: 69 (million)
% 2.12/0.67  % (20559)------------------------------
% 2.12/0.67  % (20559)------------------------------
% 2.12/0.68  % (20543)Instruction limit reached!
% 2.12/0.68  % (20543)------------------------------
% 2.12/0.68  % (20543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.68  % (20543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.68  % (20543)Termination reason: Unknown
% 2.12/0.68  % (20543)Termination phase: Saturation
% 2.12/0.68  
% 2.12/0.68  % (20543)Memory used [KB]: 6396
% 2.12/0.68  % (20543)Time elapsed: 0.238 s
% 2.12/0.68  % (20543)Instructions burned: 51 (million)
% 2.12/0.68  % (20543)------------------------------
% 2.12/0.68  % (20543)------------------------------
% 2.12/0.68  % (20564)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)
% 2.12/0.68  % (20547)Instruction limit reached!
% 2.12/0.68  % (20547)------------------------------
% 2.12/0.68  % (20547)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.68  % (20547)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.68  % (20547)Termination reason: Unknown
% 2.12/0.68  % (20547)Termination phase: Saturation
% 2.12/0.68  
% 2.12/0.68  % (20547)Memory used [KB]: 6780
% 2.12/0.68  % (20547)Time elapsed: 0.041 s
% 2.12/0.68  % (20547)Instructions burned: 68 (million)
% 2.12/0.68  % (20547)------------------------------
% 2.12/0.68  % (20547)------------------------------
% 2.12/0.69  % (20563)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)
% 2.12/0.70  % (20566)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.12/0.70  % (20548)Instruction limit reached!
% 2.12/0.70  % (20548)------------------------------
% 2.12/0.70  % (20548)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.70  % (20548)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.70  % (20548)Termination reason: Unknown
% 2.12/0.70  % (20548)Termination phase: Saturation
% 2.12/0.70  
% 2.12/0.70  % (20548)Memory used [KB]: 2174
% 2.12/0.70  % (20548)Time elapsed: 0.293 s
% 2.12/0.70  % (20548)Instructions burned: 75 (million)
% 2.12/0.70  % (20548)------------------------------
% 2.12/0.70  % (20548)------------------------------
% 2.67/0.71  % (20549)Instruction limit reached!
% 2.67/0.71  % (20549)------------------------------
% 2.67/0.71  % (20549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.71  % (20549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.71  % (20549)Termination reason: Unknown
% 2.67/0.71  % (20549)Termination phase: Saturation
% 2.67/0.71  
% 2.67/0.71  % (20549)Memory used [KB]: 6524
% 2.67/0.71  % (20549)Time elapsed: 0.316 s
% 2.67/0.71  % (20549)Instructions burned: 99 (million)
% 2.67/0.71  % (20549)------------------------------
% 2.67/0.71  % (20549)------------------------------
% 2.67/0.72  % (20544)Instruction limit reached!
% 2.67/0.72  % (20544)------------------------------
% 2.67/0.72  % (20544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.72  % (20544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.72  % (20544)Termination reason: Unknown
% 2.67/0.72  % (20544)Termination phase: Saturation
% 2.67/0.72  
% 2.67/0.72  % (20544)Memory used [KB]: 6652
% 2.67/0.72  % (20544)Time elapsed: 0.324 s
% 2.67/0.72  % (20544)Instructions burned: 100 (million)
% 2.67/0.72  % (20544)------------------------------
% 2.67/0.72  % (20544)------------------------------
% 2.67/0.73  % (20552)Instruction limit reached!
% 2.67/0.73  % (20552)------------------------------
% 2.67/0.73  % (20552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.73  % (20552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.73  % (20552)Termination reason: Unknown
% 2.67/0.73  % (20552)Termination phase: Saturation
% 2.67/0.73  
% 2.67/0.73  % (20552)Memory used [KB]: 2430
% 2.67/0.73  % (20552)Time elapsed: 0.329 s
% 2.67/0.73  % (20552)Instructions burned: 100 (million)
% 2.67/0.73  % (20552)------------------------------
% 2.67/0.73  % (20552)------------------------------
% 2.67/0.74  % (20546)Instruction limit reached!
% 2.67/0.74  % (20546)------------------------------
% 2.67/0.74  % (20546)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.74  % (20546)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.74  % (20546)Termination reason: Unknown
% 2.67/0.74  % (20546)Termination phase: Saturation
% 2.67/0.74  
% 2.67/0.74  % (20546)Memory used [KB]: 6780
% 2.67/0.74  % (20546)Time elapsed: 0.332 s
% 2.67/0.74  % (20546)Instructions burned: 100 (million)
% 2.67/0.74  % (20546)------------------------------
% 2.67/0.74  % (20546)------------------------------
% 2.67/0.74  % (20567)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.67/0.74  TRYING [5]
% 2.67/0.74  % (20565)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)
% 2.67/0.74  % (20545)Instruction limit reached!
% 2.67/0.74  % (20545)------------------------------
% 2.67/0.74  % (20545)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.74  % (20545)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.74  % (20545)Termination reason: Unknown
% 2.67/0.74  % (20545)Termination phase: Saturation
% 2.67/0.74  
% 2.67/0.74  % (20545)Memory used [KB]: 6524
% 2.67/0.74  % (20545)Time elapsed: 0.340 s
% 2.67/0.74  % (20545)Instructions burned: 101 (million)
% 2.67/0.74  % (20545)------------------------------
% 2.67/0.74  % (20545)------------------------------
% 2.67/0.75  % (20568)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)
% 2.67/0.76  % (20551)Instruction limit reached!
% 2.67/0.76  % (20551)------------------------------
% 2.67/0.76  % (20551)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.76  % (20551)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.76  % (20551)Termination reason: Unknown
% 2.67/0.76  % (20551)Termination phase: Saturation
% 2.67/0.76  
% 2.67/0.76  % (20551)Memory used [KB]: 6780
% 2.67/0.76  % (20551)Time elapsed: 0.359 s
% 2.67/0.76  % (20551)Instructions burned: 101 (million)
% 2.67/0.76  % (20551)------------------------------
% 2.67/0.76  % (20551)------------------------------
% 2.67/0.76  % (20570)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)
% 3.10/0.78  % (20571)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 3.10/0.78  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.10/0.78  % (20569)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)
% 3.10/0.80  % (20572)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)
% 3.10/0.81  % (20573)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 (2996ds/90Mi)
% 3.10/0.82  % (20554)Instruction limit reached!
% 3.10/0.82  % (20554)------------------------------
% 3.10/0.82  % (20554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.10/0.82  % (20554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.10/0.82  % (20554)Termination reason: Unknown
% 3.10/0.82  % (20554)Termination phase: Saturation
% 3.10/0.82  
% 3.10/0.82  % (20554)Memory used [KB]: 7036
% 3.10/0.82  % (20554)Time elapsed: 0.399 s
% 3.10/0.82  % (20554)Instructions burned: 138 (million)
% 3.10/0.82  % (20554)------------------------------
% 3.10/0.82  % (20554)------------------------------
% 3.10/0.82  % (20575)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 3.10/0.83  % (20574)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 (2996ds/2016Mi)
% 3.10/0.84  % (20576)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 3.10/0.85  % (20572)First to succeed.
% 3.10/0.85  % (20578)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 3.10/0.86  % (20572)Refutation found. Thanks to Tanya!
% 3.10/0.86  % SZS status Theorem for theBenchmark
% 3.10/0.86  % SZS output start Proof for theBenchmark
% See solution above
% 3.10/0.86  % (20572)------------------------------
% 3.10/0.86  % (20572)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.10/0.86  % (20572)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.10/0.86  % (20572)Termination reason: Refutation
% 3.10/0.86  
% 3.10/0.86  % (20572)Memory used [KB]: 6140
% 3.10/0.86  % (20572)Time elapsed: 0.167 s
% 3.10/0.86  % (20572)Instructions burned: 33 (million)
% 3.10/0.86  % (20572)------------------------------
% 3.10/0.86  % (20572)------------------------------
% 3.10/0.86  % (20532)Success in time 0.505 s
%------------------------------------------------------------------------------