TSTP Solution File: SEU076+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU076+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_uns --cores 0 -t %d %s

% Computer : n025.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 18:26:35 EDT 2022

% Result   : Theorem 0.73s 0.70s
% Output   : Refutation 0.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   61 (  17 unt;   0 def)
%            Number of atoms       :  339 (  68 equ)
%            Maximal formula atoms :   20 (   5 avg)
%            Number of connectives :  423 ( 145   ~; 135   |; 113   &)
%                                         (  13 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   3 con; 0-3 aty)
%            Number of variables   :  169 ( 133   !;  36   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f272,plain,
    $false,
    inference(subsumption_resolution,[],[f270,f134]) ).

fof(f134,plain,
    ~ in(sK13(sK12,sK11),sK12),
    inference(unit_resulting_resolution,[],[f122,f127]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( ~ in(sK13(X0,X1),X0)
      | subset(X1,X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( ( subset(X1,X0)
        | ( in(sK13(X0,X1),X1)
          & ~ in(sK13(X0,X1),X0) ) )
      & ( ! [X3] :
            ( ~ in(X3,X1)
            | in(X3,X0) )
        | ~ subset(X1,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f81,f82]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( in(X2,X1)
          & ~ in(X2,X0) )
     => ( in(sK13(X0,X1),X1)
        & ~ in(sK13(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( ( subset(X1,X0)
        | ? [X2] :
            ( in(X2,X1)
            & ~ in(X2,X0) ) )
      & ( ! [X3] :
            ( ~ in(X3,X1)
            | in(X3,X0) )
        | ~ subset(X1,X0) ) ),
    inference(rectify,[],[f80]) ).

fof(f80,plain,
    ! [X1,X0] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( in(X2,X0)
            & ~ in(X2,X1) ) )
      & ( ! [X2] :
            ( ~ in(X2,X0)
            | in(X2,X1) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X1,X0] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( ~ in(X2,X0)
          | in(X2,X1) ) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

fof(f122,plain,
    ~ subset(sK11,sK12),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ( function(sK10)
    & subset(sK11,relation_dom(sK10))
    & one_to_one(sK10)
    & ~ subset(sK11,sK12)
    & subset(relation_image(sK10,sK11),relation_image(sK10,sK12))
    & relation(sK10) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f77,f78]) ).

fof(f78,plain,
    ( ? [X0,X1,X2] :
        ( function(X0)
        & subset(X1,relation_dom(X0))
        & one_to_one(X0)
        & ~ subset(X1,X2)
        & subset(relation_image(X0,X1),relation_image(X0,X2))
        & relation(X0) )
   => ( function(sK10)
      & subset(sK11,relation_dom(sK10))
      & one_to_one(sK10)
      & ~ subset(sK11,sK12)
      & subset(relation_image(sK10,sK11),relation_image(sK10,sK12))
      & relation(sK10) ) ),
    introduced(choice_axiom,[]) ).

fof(f77,plain,
    ? [X0,X1,X2] :
      ( function(X0)
      & subset(X1,relation_dom(X0))
      & one_to_one(X0)
      & ~ subset(X1,X2)
      & subset(relation_image(X0,X1),relation_image(X0,X2))
      & relation(X0) ),
    inference(rectify,[],[f41]) ).

fof(f41,plain,
    ? [X0,X2,X1] :
      ( function(X0)
      & subset(X2,relation_dom(X0))
      & one_to_one(X0)
      & ~ subset(X2,X1)
      & subset(relation_image(X0,X2),relation_image(X0,X1))
      & relation(X0) ),
    inference(flattening,[],[f40]) ).

fof(f40,plain,
    ? [X2,X0,X1] :
      ( ~ subset(X2,X1)
      & one_to_one(X0)
      & subset(X2,relation_dom(X0))
      & subset(relation_image(X0,X2),relation_image(X0,X1))
      & relation(X0)
      & function(X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,plain,
    ~ ! [X2,X0,X1] :
        ( ( relation(X0)
          & function(X0) )
       => ( ( one_to_one(X0)
            & subset(X2,relation_dom(X0))
            & subset(relation_image(X0,X2),relation_image(X0,X1)) )
         => subset(X2,X1) ) ),
    inference(rectify,[],[f27]) ).

fof(f27,negated_conjecture,
    ~ ! [X2,X1,X0] :
        ( ( relation(X2)
          & function(X2) )
       => ( ( one_to_one(X2)
            & subset(relation_image(X2,X0),relation_image(X2,X1))
            & subset(X0,relation_dom(X2)) )
         => subset(X0,X1) ) ),
    inference(negated_conjecture,[],[f26]) ).

fof(f26,conjecture,
    ! [X2,X1,X0] :
      ( ( relation(X2)
        & function(X2) )
     => ( ( one_to_one(X2)
          & subset(relation_image(X2,X0),relation_image(X2,X1))
          & subset(X0,relation_dom(X2)) )
       => subset(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t157_funct_1) ).

fof(f270,plain,
    in(sK13(sK12,sK11),sK12),
    inference(backward_demodulation,[],[f170,f260]) ).

fof(f260,plain,
    sK5(sK10,sK12,apply(sK10,sK13(sK12,sK11))) = sK13(sK12,sK11),
    inference(unit_resulting_resolution,[],[f120,f125,f123,f141,f169,f171,f91]) ).

fof(f91,plain,
    ! [X3,X0,X4] :
      ( apply(X0,X4) != apply(X0,X3)
      | ~ one_to_one(X0)
      | X3 = X4
      | ~ in(X3,relation_dom(X0))
      | ~ in(X4,relation_dom(X0))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ( ( one_to_one(X0)
          | ( in(sK3(X0),relation_dom(X0))
            & sK3(X0) != sK2(X0)
            & in(sK2(X0),relation_dom(X0))
            & apply(X0,sK2(X0)) = apply(X0,sK3(X0)) ) )
        & ( ! [X3,X4] :
              ( ~ in(X4,relation_dom(X0))
              | X3 = X4
              | ~ in(X3,relation_dom(X0))
              | apply(X0,X4) != apply(X0,X3) )
          | ~ one_to_one(X0) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f59,f60]) ).

fof(f60,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( in(X2,relation_dom(X0))
          & X1 != X2
          & in(X1,relation_dom(X0))
          & apply(X0,X1) = apply(X0,X2) )
     => ( in(sK3(X0),relation_dom(X0))
        & sK3(X0) != sK2(X0)
        & in(sK2(X0),relation_dom(X0))
        & apply(X0,sK2(X0)) = apply(X0,sK3(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f59,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ( ( one_to_one(X0)
          | ? [X1,X2] :
              ( in(X2,relation_dom(X0))
              & X1 != X2
              & in(X1,relation_dom(X0))
              & apply(X0,X1) = apply(X0,X2) ) )
        & ( ! [X3,X4] :
              ( ~ in(X4,relation_dom(X0))
              | X3 = X4
              | ~ in(X3,relation_dom(X0))
              | apply(X0,X4) != apply(X0,X3) )
          | ~ one_to_one(X0) ) ) ),
    inference(rectify,[],[f58]) ).

fof(f58,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ( ( one_to_one(X0)
          | ? [X1,X2] :
              ( in(X2,relation_dom(X0))
              & X1 != X2
              & in(X1,relation_dom(X0))
              & apply(X0,X1) = apply(X0,X2) ) )
        & ( ! [X1,X2] :
              ( ~ in(X2,relation_dom(X0))
              | X1 = X2
              | ~ in(X1,relation_dom(X0))
              | apply(X0,X1) != apply(X0,X2) )
          | ~ one_to_one(X0) ) ) ),
    inference(nnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ( one_to_one(X0)
      <=> ! [X1,X2] :
            ( ~ in(X2,relation_dom(X0))
            | X1 = X2
            | ~ in(X1,relation_dom(X0))
            | apply(X0,X1) != apply(X0,X2) ) ) ),
    inference(flattening,[],[f42]) ).

fof(f42,plain,
    ! [X0] :
      ( ( one_to_one(X0)
      <=> ! [X1,X2] :
            ( X1 = X2
            | apply(X0,X1) != apply(X0,X2)
            | ~ in(X1,relation_dom(X0))
            | ~ in(X2,relation_dom(X0)) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ( one_to_one(X0)
      <=> ! [X1,X2] :
            ( ( apply(X0,X1) = apply(X0,X2)
              & in(X1,relation_dom(X0))
              & in(X2,relation_dom(X0)) )
           => X1 = X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funct_1) ).

fof(f171,plain,
    apply(sK10,sK13(sK12,sK11)) = apply(sK10,sK5(sK10,sK12,apply(sK10,sK13(sK12,sK11)))),
    inference(unit_resulting_resolution,[],[f120,f125,f158,f131]) ).

fof(f131,plain,
    ! [X3,X0,X1] :
      ( ~ in(X3,relation_image(X0,X1))
      | ~ function(X0)
      | apply(X0,sK5(X0,X1,X3)) = X3
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f109]) ).

fof(f109,plain,
    ! [X2,X3,X0,X1] :
      ( apply(X0,sK5(X0,X1,X3)) = X3
      | ~ in(X3,X2)
      | relation_image(X0,X1) != X2
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ! [X3] :
                ( ( in(X3,X2)
                  | ! [X4] :
                      ( apply(X0,X4) != X3
                      | ~ in(X4,X1)
                      | ~ in(X4,relation_dom(X0)) ) )
                & ( ( apply(X0,sK5(X0,X1,X3)) = X3
                    & in(sK5(X0,X1,X3),X1)
                    & in(sK5(X0,X1,X3),relation_dom(X0)) )
                  | ~ in(X3,X2) ) )
            | relation_image(X0,X1) != X2 )
          & ( relation_image(X0,X1) = X2
            | ( ( ! [X7] :
                    ( apply(X0,X7) != sK6(X0,X1,X2)
                    | ~ in(X7,X1)
                    | ~ in(X7,relation_dom(X0)) )
                | ~ in(sK6(X0,X1,X2),X2) )
              & ( ( apply(X0,sK7(X0,X1,X2)) = sK6(X0,X1,X2)
                  & in(sK7(X0,X1,X2),X1)
                  & in(sK7(X0,X1,X2),relation_dom(X0)) )
                | in(sK6(X0,X1,X2),X2) ) ) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f65,f68,f67,f66]) ).

fof(f66,plain,
    ! [X0,X1,X3] :
      ( ? [X5] :
          ( apply(X0,X5) = X3
          & in(X5,X1)
          & in(X5,relation_dom(X0)) )
     => ( apply(X0,sK5(X0,X1,X3)) = X3
        & in(sK5(X0,X1,X3),X1)
        & in(sK5(X0,X1,X3),relation_dom(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f67,plain,
    ! [X0,X1,X2] :
      ( ? [X6] :
          ( ( ! [X7] :
                ( apply(X0,X7) != X6
                | ~ in(X7,X1)
                | ~ in(X7,relation_dom(X0)) )
            | ~ in(X6,X2) )
          & ( ? [X8] :
                ( apply(X0,X8) = X6
                & in(X8,X1)
                & in(X8,relation_dom(X0)) )
            | in(X6,X2) ) )
     => ( ( ! [X7] :
              ( apply(X0,X7) != sK6(X0,X1,X2)
              | ~ in(X7,X1)
              | ~ in(X7,relation_dom(X0)) )
          | ~ in(sK6(X0,X1,X2),X2) )
        & ( ? [X8] :
              ( apply(X0,X8) = sK6(X0,X1,X2)
              & in(X8,X1)
              & in(X8,relation_dom(X0)) )
          | in(sK6(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f68,plain,
    ! [X0,X1,X2] :
      ( ? [X8] :
          ( apply(X0,X8) = sK6(X0,X1,X2)
          & in(X8,X1)
          & in(X8,relation_dom(X0)) )
     => ( apply(X0,sK7(X0,X1,X2)) = sK6(X0,X1,X2)
        & in(sK7(X0,X1,X2),X1)
        & in(sK7(X0,X1,X2),relation_dom(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f65,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ! [X3] :
                ( ( in(X3,X2)
                  | ! [X4] :
                      ( apply(X0,X4) != X3
                      | ~ in(X4,X1)
                      | ~ in(X4,relation_dom(X0)) ) )
                & ( ? [X5] :
                      ( apply(X0,X5) = X3
                      & in(X5,X1)
                      & in(X5,relation_dom(X0)) )
                  | ~ in(X3,X2) ) )
            | relation_image(X0,X1) != X2 )
          & ( relation_image(X0,X1) = X2
            | ? [X6] :
                ( ( ! [X7] :
                      ( apply(X0,X7) != X6
                      | ~ in(X7,X1)
                      | ~ in(X7,relation_dom(X0)) )
                  | ~ in(X6,X2) )
                & ( ? [X8] :
                      ( apply(X0,X8) = X6
                      & in(X8,X1)
                      & in(X8,relation_dom(X0)) )
                  | in(X6,X2) ) ) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(rectify,[],[f64]) ).

fof(f64,plain,
    ! [X0] :
      ( ! [X2,X1] :
          ( ( ! [X3] :
                ( ( in(X3,X1)
                  | ! [X4] :
                      ( apply(X0,X4) != X3
                      | ~ in(X4,X2)
                      | ~ in(X4,relation_dom(X0)) ) )
                & ( ? [X4] :
                      ( apply(X0,X4) = X3
                      & in(X4,X2)
                      & in(X4,relation_dom(X0)) )
                  | ~ in(X3,X1) ) )
            | relation_image(X0,X2) != X1 )
          & ( relation_image(X0,X2) = X1
            | ? [X3] :
                ( ( ! [X4] :
                      ( apply(X0,X4) != X3
                      | ~ in(X4,X2)
                      | ~ in(X4,relation_dom(X0)) )
                  | ~ in(X3,X1) )
                & ( ? [X4] :
                      ( apply(X0,X4) = X3
                      & in(X4,X2)
                      & in(X4,relation_dom(X0)) )
                  | in(X3,X1) ) ) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(nnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0] :
      ( ! [X2,X1] :
          ( ! [X3] :
              ( in(X3,X1)
            <=> ? [X4] :
                  ( apply(X0,X4) = X3
                  & in(X4,X2)
                  & in(X4,relation_dom(X0)) ) )
        <=> relation_image(X0,X2) = X1 )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(flattening,[],[f45]) ).

fof(f45,plain,
    ! [X0] :
      ( ! [X2,X1] :
          ( ! [X3] :
              ( in(X3,X1)
            <=> ? [X4] :
                  ( apply(X0,X4) = X3
                  & in(X4,X2)
                  & in(X4,relation_dom(X0)) ) )
        <=> relation_image(X0,X2) = X1 )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ! [X2,X1] :
          ( ! [X3] :
              ( in(X3,X1)
            <=> ? [X4] :
                  ( apply(X0,X4) = X3
                  & in(X4,X2)
                  & in(X4,relation_dom(X0)) ) )
        <=> relation_image(X0,X2) = X1 ) ),
    inference(rectify,[],[f5]) ).

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

fof(f158,plain,
    in(apply(sK10,sK13(sK12,sK11)),relation_image(sK10,sK12)),
    inference(unit_resulting_resolution,[],[f121,f146,f126]) ).

fof(f126,plain,
    ! [X3,X0,X1] :
      ( ~ subset(X1,X0)
      | in(X3,X0)
      | ~ in(X3,X1) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f146,plain,
    in(apply(sK10,sK13(sK12,sK11)),relation_image(sK10,sK11)),
    inference(unit_resulting_resolution,[],[f120,f125,f136,f141,f130]) ).

fof(f130,plain,
    ! [X0,X1,X4] :
      ( in(apply(X0,X4),relation_image(X0,X1))
      | ~ in(X4,relation_dom(X0))
      | ~ in(X4,X1)
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f129]) ).

fof(f129,plain,
    ! [X2,X0,X1,X4] :
      ( in(apply(X0,X4),X2)
      | ~ in(X4,X1)
      | ~ in(X4,relation_dom(X0))
      | relation_image(X0,X1) != X2
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(equality_resolution,[],[f110]) ).

fof(f110,plain,
    ! [X2,X3,X0,X1,X4] :
      ( in(X3,X2)
      | apply(X0,X4) != X3
      | ~ in(X4,X1)
      | ~ in(X4,relation_dom(X0))
      | relation_image(X0,X1) != X2
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f136,plain,
    in(sK13(sK12,sK11),sK11),
    inference(unit_resulting_resolution,[],[f122,f128]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( in(sK13(X0,X1),X1)
      | subset(X1,X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f121,plain,
    subset(relation_image(sK10,sK11),relation_image(sK10,sK12)),
    inference(cnf_transformation,[],[f79]) ).

fof(f169,plain,
    in(sK5(sK10,sK12,apply(sK10,sK13(sK12,sK11))),relation_dom(sK10)),
    inference(unit_resulting_resolution,[],[f125,f120,f158,f133]) ).

fof(f133,plain,
    ! [X3,X0,X1] :
      ( in(sK5(X0,X1,X3),relation_dom(X0))
      | ~ relation(X0)
      | ~ in(X3,relation_image(X0,X1))
      | ~ function(X0) ),
    inference(equality_resolution,[],[f107]) ).

fof(f107,plain,
    ! [X2,X3,X0,X1] :
      ( in(sK5(X0,X1,X3),relation_dom(X0))
      | ~ in(X3,X2)
      | relation_image(X0,X1) != X2
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f141,plain,
    in(sK13(sK12,sK11),relation_dom(sK10)),
    inference(unit_resulting_resolution,[],[f124,f136,f126]) ).

fof(f124,plain,
    subset(sK11,relation_dom(sK10)),
    inference(cnf_transformation,[],[f79]) ).

fof(f123,plain,
    one_to_one(sK10),
    inference(cnf_transformation,[],[f79]) ).

fof(f125,plain,
    function(sK10),
    inference(cnf_transformation,[],[f79]) ).

fof(f120,plain,
    relation(sK10),
    inference(cnf_transformation,[],[f79]) ).

fof(f170,plain,
    in(sK5(sK10,sK12,apply(sK10,sK13(sK12,sK11))),sK12),
    inference(unit_resulting_resolution,[],[f120,f125,f158,f132]) ).

fof(f132,plain,
    ! [X3,X0,X1] :
      ( in(sK5(X0,X1,X3),X1)
      | ~ function(X0)
      | ~ in(X3,relation_image(X0,X1))
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f108]) ).

fof(f108,plain,
    ! [X2,X3,X0,X1] :
      ( in(sK5(X0,X1,X3),X1)
      | ~ in(X3,X2)
      | relation_image(X0,X1) != X2
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f69]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SEU076+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 14:45:45 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.13/0.36  ipcrm: permission denied for id (675545093)
% 0.13/0.36  ipcrm: permission denied for id (675577864)
% 0.13/0.37  ipcrm: permission denied for id (675643407)
% 0.13/0.37  ipcrm: permission denied for id (675708947)
% 0.13/0.38  ipcrm: permission denied for id (675741717)
% 0.13/0.38  ipcrm: permission denied for id (675807255)
% 0.13/0.39  ipcrm: permission denied for id (675938334)
% 0.20/0.40  ipcrm: permission denied for id (676003877)
% 0.20/0.40  ipcrm: permission denied for id (676069418)
% 0.20/0.41  ipcrm: permission denied for id (676134959)
% 0.20/0.42  ipcrm: permission denied for id (676200500)
% 0.20/0.43  ipcrm: permission denied for id (676266046)
% 0.20/0.43  ipcrm: permission denied for id (676298819)
% 0.20/0.45  ipcrm: permission denied for id (676397137)
% 0.20/0.45  ipcrm: permission denied for id (676462675)
% 0.20/0.46  ipcrm: permission denied for id (676495445)
% 0.20/0.46  ipcrm: permission denied for id (676560984)
% 0.20/0.47  ipcrm: permission denied for id (676626524)
% 0.20/0.47  ipcrm: permission denied for id (676757603)
% 0.20/0.48  ipcrm: permission denied for id (676954213)
% 0.20/0.50  ipcrm: permission denied for id (677085307)
% 0.37/0.62  % (12156)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/13Mi)
% 0.37/0.63  % (12163)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 0.37/0.63  % (12156)Instruction limit reached!
% 0.37/0.63  % (12156)------------------------------
% 0.37/0.63  % (12156)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.37/0.64  % (12154)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.37/0.64  % (12156)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.37/0.64  % (12156)Termination reason: Unknown
% 0.37/0.64  % (12156)Termination phase: Saturation
% 0.37/0.64  
% 0.37/0.64  % (12156)Memory used [KB]: 6140
% 0.37/0.64  % (12156)Time elapsed: 0.059 s
% 0.37/0.64  % (12156)Instructions burned: 13 (million)
% 0.37/0.64  % (12156)------------------------------
% 0.37/0.64  % (12156)------------------------------
% 0.37/0.64  % (12154)Instruction limit reached!
% 0.37/0.64  % (12154)------------------------------
% 0.37/0.64  % (12154)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.37/0.64  % (12154)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.37/0.64  % (12154)Termination reason: Unknown
% 0.37/0.64  % (12154)Termination phase: shuffling
% 0.37/0.64  
% 0.37/0.64  % (12154)Memory used [KB]: 1535
% 0.37/0.64  % (12154)Time elapsed: 0.002 s
% 0.37/0.64  % (12154)Instructions burned: 3 (million)
% 0.37/0.64  % (12154)------------------------------
% 0.37/0.64  % (12154)------------------------------
% 0.37/0.64  % (12163)Instruction limit reached!
% 0.37/0.64  % (12163)------------------------------
% 0.37/0.64  % (12163)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.37/0.64  % (12163)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.37/0.64  % (12163)Termination reason: Unknown
% 0.37/0.64  % (12163)Termination phase: Saturation
% 0.37/0.64  
% 0.37/0.64  % (12163)Memory used [KB]: 6140
% 0.37/0.64  % (12163)Time elapsed: 0.062 s
% 0.37/0.64  % (12163)Instructions burned: 8 (million)
% 0.37/0.64  % (12163)------------------------------
% 0.37/0.64  % (12163)------------------------------
% 0.37/0.65  % (12169)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.37/0.65  % (12178)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 0.37/0.66  % (12161)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/33Mi)
% 0.37/0.67  % (12153)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/13Mi)
% 0.37/0.67  % (12159)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 0.37/0.67  % (12169)Instruction limit reached!
% 0.37/0.67  % (12169)------------------------------
% 0.37/0.67  % (12169)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.37/0.67  % (12169)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.37/0.67  % (12169)Termination reason: Unknown
% 0.37/0.67  % (12169)Termination phase: Finite model building preprocessing
% 0.37/0.67  
% 0.37/0.67  % (12169)Memory used [KB]: 1535
% 0.37/0.67  % (12169)Time elapsed: 0.004 s
% 0.37/0.67  % (12169)Instructions burned: 3 (million)
% 0.37/0.67  % (12169)------------------------------
% 0.37/0.67  % (12169)------------------------------
% 0.37/0.67  % (12155)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 0.37/0.68  % (12175)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/45Mi)
% 0.37/0.68  % (12157)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 0.37/0.68  % (12164)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/16Mi)
% 0.37/0.68  % (12167)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 0.37/0.69  % (12166)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.37/0.69  % (12166)Instruction limit reached!
% 0.37/0.69  % (12166)------------------------------
% 0.37/0.69  % (12166)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.37/0.69  % (12166)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.37/0.69  % (12166)Termination reason: Unknown
% 0.37/0.69  % (12166)Termination phase: Saturation
% 0.37/0.69  
% 0.37/0.69  % (12166)Memory used [KB]: 1535
% 0.37/0.69  % (12166)Time elapsed: 0.003 s
% 0.37/0.69  % (12166)Instructions burned: 3 (million)
% 0.37/0.69  % (12166)------------------------------
% 0.37/0.69  % (12166)------------------------------
% 0.37/0.69  % (12162)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/12Mi)
% 0.37/0.69  % (12173)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 0.37/0.69  % (12153)Instruction limit reached!
% 0.37/0.69  % (12153)------------------------------
% 0.37/0.69  % (12153)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.37/0.69  % (12153)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.37/0.69  % (12153)Termination reason: Unknown
% 0.37/0.69  % (12153)Termination phase: Saturation
% 0.37/0.69  
% 0.37/0.69  % (12153)Memory used [KB]: 6268
% 0.37/0.69  % (12153)Time elapsed: 0.128 s
% 0.37/0.69  % (12153)Instructions burned: 14 (million)
% 0.37/0.69  % (12153)------------------------------
% 0.37/0.69  % (12153)------------------------------
% 0.37/0.69  % (12170)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.37/0.69  % (12152)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99978Mi)
% 0.37/0.69  % (12177)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/95Mi)
% 0.37/0.69  % (12170)Instruction limit reached!
% 0.37/0.69  % (12170)------------------------------
% 0.37/0.69  % (12170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.37/0.69  % (12170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.37/0.69  % (12170)Termination reason: Unknown
% 0.37/0.69  % (12170)Termination phase: Property scanning
% 0.37/0.69  
% 0.37/0.69  % (12170)Memory used [KB]: 1535
% 0.37/0.69  % (12170)Time elapsed: 0.004 s
% 0.37/0.69  % (12170)Instructions burned: 3 (million)
% 0.37/0.69  % (12170)------------------------------
% 0.37/0.69  % (12170)------------------------------
% 0.37/0.69  % (12174)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/82Mi)
% 0.73/0.69  % (12155)First to succeed.
% 0.73/0.70  % (12171)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/11Mi)
% 0.73/0.70  % (12168)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 0.73/0.70  % (12171)Refutation not found, incomplete strategy% (12171)------------------------------
% 0.73/0.70  % (12171)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.73/0.70  % (12171)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.73/0.70  % (12171)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.70  
% 0.73/0.70  % (12171)Memory used [KB]: 6012
% 0.73/0.70  % (12171)Time elapsed: 0.132 s
% 0.73/0.70  % (12171)Instructions burned: 2 (million)
% 0.73/0.70  % (12171)------------------------------
% 0.73/0.70  % (12171)------------------------------
% 0.73/0.70  % (12179)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/25Mi)
% 0.73/0.70  % (12180)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/8Mi)
% 0.73/0.70  % (12172)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.73/0.70  % (12164)Instruction limit reached!
% 0.73/0.70  % (12164)------------------------------
% 0.73/0.70  % (12164)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.73/0.70  % (12164)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.73/0.70  % (12164)Termination reason: Unknown
% 0.73/0.70  % (12164)Termination phase: Saturation
% 0.73/0.70  
% 0.73/0.70  % (12164)Memory used [KB]: 1791
% 0.73/0.70  % (12164)Time elapsed: 0.130 s
% 0.73/0.70  % (12164)Instructions burned: 17 (million)
% 0.73/0.70  % (12164)------------------------------
% 0.73/0.70  % (12164)------------------------------
% 0.73/0.70  % (12181)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/24Mi)
% 0.73/0.70  % (12180)Instruction limit reached!
% 0.73/0.70  % (12180)------------------------------
% 0.73/0.70  % (12180)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.73/0.70  % (12180)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.73/0.70  % (12180)Termination reason: Unknown
% 0.73/0.70  % (12180)Termination phase: Saturation
% 0.73/0.70  
% 0.73/0.70  % (12180)Memory used [KB]: 6140
% 0.73/0.70  % (12180)Time elapsed: 0.150 s
% 0.73/0.70  % (12180)Instructions burned: 8 (million)
% 0.73/0.70  % (12180)------------------------------
% 0.73/0.70  % (12180)------------------------------
% 0.73/0.70  % (12176)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 0.73/0.70  % (12155)Refutation found. Thanks to Tanya!
% 0.73/0.70  % SZS status Theorem for theBenchmark
% 0.73/0.70  % SZS output start Proof for theBenchmark
% See solution above
% 0.73/0.70  % (12155)------------------------------
% 0.73/0.70  % (12155)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.73/0.70  % (12155)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.73/0.70  % (12155)Termination reason: Refutation
% 0.73/0.70  
% 0.73/0.70  % (12155)Memory used [KB]: 6140
% 0.73/0.70  % (12155)Time elapsed: 0.127 s
% 0.73/0.70  % (12155)Instructions burned: 9 (million)
% 0.73/0.70  % (12155)------------------------------
% 0.73/0.70  % (12155)------------------------------
% 0.73/0.70  % (11974)Success in time 0.352 s
%------------------------------------------------------------------------------