TSTP Solution File: SEU228+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU228+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:27:42 EDT 2022

% Result   : Theorem 0.19s 0.55s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   88 (  14 unt;   0 def)
%            Number of atoms       :  507 ( 106 equ)
%            Maximal formula atoms :   20 (   5 avg)
%            Number of connectives :  651 ( 232   ~; 229   |; 140   &)
%                                         (  27 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   2 con; 0-3 aty)
%            Number of variables   :  249 ( 205   !;  44   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f341,plain,
    $false,
    inference(subsumption_resolution,[],[f338,f334]) ).

fof(f334,plain,
    ~ in(sK11(sK13,sK8(sK12,relation_image(sK13,relation_inverse_image(sK13,sK12)))),relation_inverse_image(sK13,sK12)),
    inference(unit_resulting_resolution,[],[f191,f242]) ).

fof(f242,plain,
    ! [X2] :
      ( ~ in(sK11(sK13,sK8(sK12,relation_image(sK13,relation_inverse_image(sK13,sK12)))),X2)
      | in(sK8(sK12,relation_image(sK13,relation_inverse_image(sK13,sK12))),relation_image(sK13,X2)) ),
    inference(subsumption_resolution,[],[f241,f167]) ).

fof(f167,plain,
    function(sK13),
    inference(cnf_transformation,[],[f114]) ).

fof(f114,plain,
    ( sK12 != relation_image(sK13,relation_inverse_image(sK13,sK12))
    & function(sK13)
    & subset(sK12,relation_rng(sK13))
    & relation(sK13) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f112,f113]) ).

fof(f113,plain,
    ( ? [X0,X1] :
        ( relation_image(X1,relation_inverse_image(X1,X0)) != X0
        & function(X1)
        & subset(X0,relation_rng(X1))
        & relation(X1) )
   => ( sK12 != relation_image(sK13,relation_inverse_image(sK13,sK12))
      & function(sK13)
      & subset(sK12,relation_rng(sK13))
      & relation(sK13) ) ),
    introduced(choice_axiom,[]) ).

fof(f112,plain,
    ? [X0,X1] :
      ( relation_image(X1,relation_inverse_image(X1,X0)) != X0
      & function(X1)
      & subset(X0,relation_rng(X1))
      & relation(X1) ),
    inference(rectify,[],[f58]) ).

fof(f58,plain,
    ? [X1,X0] :
      ( relation_image(X0,relation_inverse_image(X0,X1)) != X1
      & function(X0)
      & subset(X1,relation_rng(X0))
      & relation(X0) ),
    inference(flattening,[],[f57]) ).

fof(f57,plain,
    ? [X1,X0] :
      ( relation_image(X0,relation_inverse_image(X0,X1)) != X1
      & subset(X1,relation_rng(X0))
      & relation(X0)
      & function(X0) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,plain,
    ~ ! [X1,X0] :
        ( ( relation(X0)
          & function(X0) )
       => ( subset(X1,relation_rng(X0))
         => relation_image(X0,relation_inverse_image(X0,X1)) = X1 ) ),
    inference(rectify,[],[f40]) ).

fof(f40,negated_conjecture,
    ~ ! [X1,X0] :
        ( ( function(X1)
          & relation(X1) )
       => ( subset(X0,relation_rng(X1))
         => relation_image(X1,relation_inverse_image(X1,X0)) = X0 ) ),
    inference(negated_conjecture,[],[f39]) ).

fof(f39,conjecture,
    ! [X1,X0] :
      ( ( function(X1)
        & relation(X1) )
     => ( subset(X0,relation_rng(X1))
       => relation_image(X1,relation_inverse_image(X1,X0)) = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t147_funct_1) ).

fof(f241,plain,
    ! [X2] :
      ( in(sK8(sK12,relation_image(sK13,relation_inverse_image(sK13,sK12))),relation_image(sK13,X2))
      | ~ in(sK11(sK13,sK8(sK12,relation_image(sK13,relation_inverse_image(sK13,sK12)))),X2)
      | ~ function(sK13) ),
    inference(subsumption_resolution,[],[f240,f165]) ).

fof(f165,plain,
    relation(sK13),
    inference(cnf_transformation,[],[f114]) ).

fof(f240,plain,
    ! [X2] :
      ( in(sK8(sK12,relation_image(sK13,relation_inverse_image(sK13,sK12))),relation_image(sK13,X2))
      | ~ relation(sK13)
      | ~ function(sK13)
      | ~ in(sK11(sK13,sK8(sK12,relation_image(sK13,relation_inverse_image(sK13,sK12)))),X2) ),
    inference(subsumption_resolution,[],[f237,f205]) ).

fof(f205,plain,
    in(sK11(sK13,sK8(sK12,relation_image(sK13,relation_inverse_image(sK13,sK12)))),relation_dom(sK13)),
    inference(unit_resulting_resolution,[],[f165,f167,f196,f184]) ).

fof(f184,plain,
    ! [X0,X5] :
      ( in(sK11(X0,X5),relation_dom(X0))
      | ~ relation(X0)
      | ~ function(X0)
      | ~ in(X5,relation_rng(X0)) ),
    inference(equality_resolution,[],[f158]) ).

fof(f158,plain,
    ! [X0,X1,X5] :
      ( ~ relation(X0)
      | in(sK11(X0,X5),relation_dom(X0))
      | ~ in(X5,X1)
      | relation_rng(X0) != X1
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( relation_rng(X0) = X1
            | ( ( ! [X3] :
                    ( apply(X0,X3) != sK9(X0,X1)
                    | ~ in(X3,relation_dom(X0)) )
                | ~ in(sK9(X0,X1),X1) )
              & ( ( apply(X0,sK10(X0,X1)) = sK9(X0,X1)
                  & in(sK10(X0,X1),relation_dom(X0)) )
                | in(sK9(X0,X1),X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] :
                      ( apply(X0,X6) != X5
                      | ~ in(X6,relation_dom(X0)) ) )
                & ( ( apply(X0,sK11(X0,X5)) = X5
                    & in(sK11(X0,X5),relation_dom(X0)) )
                  | ~ in(X5,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ function(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f106,f109,f108,f107]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ! [X3] :
                ( apply(X0,X3) != X2
                | ~ in(X3,relation_dom(X0)) )
            | ~ in(X2,X1) )
          & ( ? [X4] :
                ( apply(X0,X4) = X2
                & in(X4,relation_dom(X0)) )
            | in(X2,X1) ) )
     => ( ( ! [X3] :
              ( apply(X0,X3) != sK9(X0,X1)
              | ~ in(X3,relation_dom(X0)) )
          | ~ in(sK9(X0,X1),X1) )
        & ( ? [X4] :
              ( apply(X0,X4) = sK9(X0,X1)
              & in(X4,relation_dom(X0)) )
          | in(sK9(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( apply(X0,X4) = sK9(X0,X1)
          & in(X4,relation_dom(X0)) )
     => ( apply(X0,sK10(X0,X1)) = sK9(X0,X1)
        & in(sK10(X0,X1),relation_dom(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f109,plain,
    ! [X0,X5] :
      ( ? [X7] :
          ( apply(X0,X7) = X5
          & in(X7,relation_dom(X0)) )
     => ( apply(X0,sK11(X0,X5)) = X5
        & in(sK11(X0,X5),relation_dom(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f106,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( relation_rng(X0) = X1
            | ? [X2] :
                ( ( ! [X3] :
                      ( apply(X0,X3) != X2
                      | ~ in(X3,relation_dom(X0)) )
                  | ~ in(X2,X1) )
                & ( ? [X4] :
                      ( apply(X0,X4) = X2
                      & in(X4,relation_dom(X0)) )
                  | in(X2,X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] :
                      ( apply(X0,X6) != X5
                      | ~ in(X6,relation_dom(X0)) ) )
                & ( ? [X7] :
                      ( apply(X0,X7) = X5
                      & in(X7,relation_dom(X0)) )
                  | ~ in(X5,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ function(X0) ),
    inference(rectify,[],[f105]) ).

fof(f105,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( relation_rng(X0) = X1
            | ? [X2] :
                ( ( ! [X3] :
                      ( apply(X0,X3) != X2
                      | ~ in(X3,relation_dom(X0)) )
                  | ~ in(X2,X1) )
                & ( ? [X3] :
                      ( apply(X0,X3) = X2
                      & in(X3,relation_dom(X0)) )
                  | in(X2,X1) ) ) )
          & ( ! [X2] :
                ( ( in(X2,X1)
                  | ! [X3] :
                      ( apply(X0,X3) != X2
                      | ~ in(X3,relation_dom(X0)) ) )
                & ( ? [X3] :
                      ( apply(X0,X3) = X2
                      & in(X3,relation_dom(X0)) )
                  | ~ in(X2,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ function(X0) ),
    inference(nnf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( relation_rng(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] :
                  ( apply(X0,X3) = X2
                  & in(X3,relation_dom(X0)) ) ) )
      | ~ function(X0) ),
    inference(flattening,[],[f69]) ).

fof(f69,plain,
    ! [X0] :
      ( ! [X1] :
          ( relation_rng(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] :
                  ( apply(X0,X3) = X2
                  & in(X3,relation_dom(X0)) ) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( ( relation(X0)
        & function(X0) )
     => ! [X1] :
          ( relation_rng(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] :
                  ( apply(X0,X3) = X2
                  & in(X3,relation_dom(X0)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_funct_1) ).

fof(f196,plain,
    in(sK8(sK12,relation_image(sK13,relation_inverse_image(sK13,sK12))),relation_rng(sK13)),
    inference(unit_resulting_resolution,[],[f166,f193,f155]) ).

fof(f155,plain,
    ! [X3,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ in(X3,X0)
      | in(X3,X1) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ in(sK8(X0,X1),X1)
          & in(sK8(X0,X1),X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f102,f103]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ in(X2,X1)
          & in(X2,X0) )
     => ( ~ in(sK8(X0,X1),X1)
        & in(sK8(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f101]) ).

fof(f101,plain,
    ! [X1,X0] :
      ( ( subset(X1,X0)
        | ? [X2] :
            ( ~ in(X2,X0)
            & in(X2,X1) ) )
      & ( ! [X2] :
            ( in(X2,X0)
            | ~ in(X2,X1) )
        | ~ subset(X1,X0) ) ),
    inference(nnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X1,X0] :
      ( subset(X1,X0)
    <=> ! [X2] :
          ( in(X2,X0)
          | ~ in(X2,X1) ) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( in(X2,X1)
         => in(X2,X0) )
    <=> subset(X1,X0) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X1,X0] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

fof(f193,plain,
    in(sK8(sK12,relation_image(sK13,relation_inverse_image(sK13,sK12))),sK12),
    inference(unit_resulting_resolution,[],[f188,f156]) ).

fof(f156,plain,
    ! [X0,X1] :
      ( in(sK8(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f188,plain,
    ~ subset(sK12,relation_image(sK13,relation_inverse_image(sK13,sK12))),
    inference(unit_resulting_resolution,[],[f168,f185,f139]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( ~ subset(X1,X0)
      | ~ subset(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ( ( subset(X0,X1)
          & subset(X1,X0) )
        | X0 != X1 )
      & ( X0 = X1
        | ~ subset(X0,X1)
        | ~ subset(X1,X0) ) ),
    inference(rectify,[],[f90]) ).

fof(f90,plain,
    ! [X1,X0] :
      ( ( ( subset(X1,X0)
          & subset(X0,X1) )
        | X0 != X1 )
      & ( X0 = X1
        | ~ subset(X1,X0)
        | ~ subset(X0,X1) ) ),
    inference(flattening,[],[f89]) ).

fof(f89,plain,
    ! [X1,X0] :
      ( ( ( subset(X1,X0)
          & subset(X0,X1) )
        | X0 != X1 )
      & ( X0 = X1
        | ~ subset(X1,X0)
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X1,X0] :
      ( ( subset(X1,X0)
        & subset(X0,X1) )
    <=> X0 = X1 ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X1,X0] :
      ( X0 = X1
    <=> ( subset(X0,X1)
        & subset(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).

fof(f185,plain,
    ! [X0] : subset(relation_image(sK13,relation_inverse_image(sK13,X0)),X0),
    inference(unit_resulting_resolution,[],[f165,f167,f142]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( subset(relation_image(X0,relation_inverse_image(X0,X1)),X1)
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( ~ function(X0)
      | subset(relation_image(X0,relation_inverse_image(X0,X1)),X1)
      | ~ relation(X0) ),
    inference(rectify,[],[f75]) ).

fof(f75,plain,
    ! [X1,X0] :
      ( ~ function(X1)
      | subset(relation_image(X1,relation_inverse_image(X1,X0)),X0)
      | ~ relation(X1) ),
    inference(flattening,[],[f74]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( subset(relation_image(X1,relation_inverse_image(X1,X0)),X0)
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,axiom,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => subset(relation_image(X1,relation_inverse_image(X1,X0)),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t145_funct_1) ).

fof(f168,plain,
    sK12 != relation_image(sK13,relation_inverse_image(sK13,sK12)),
    inference(cnf_transformation,[],[f114]) ).

fof(f166,plain,
    subset(sK12,relation_rng(sK13)),
    inference(cnf_transformation,[],[f114]) ).

fof(f237,plain,
    ! [X2] :
      ( ~ in(sK11(sK13,sK8(sK12,relation_image(sK13,relation_inverse_image(sK13,sK12)))),relation_dom(sK13))
      | in(sK8(sK12,relation_image(sK13,relation_inverse_image(sK13,sK12))),relation_image(sK13,X2))
      | ~ in(sK11(sK13,sK8(sK12,relation_image(sK13,relation_inverse_image(sK13,sK12)))),X2)
      | ~ relation(sK13)
      | ~ function(sK13) ),
    inference(superposition,[],[f177,f206]) ).

fof(f206,plain,
    sK8(sK12,relation_image(sK13,relation_inverse_image(sK13,sK12))) = apply(sK13,sK11(sK13,sK8(sK12,relation_image(sK13,relation_inverse_image(sK13,sK12))))),
    inference(unit_resulting_resolution,[],[f165,f167,f196,f183]) ).

fof(f183,plain,
    ! [X0,X5] :
      ( ~ in(X5,relation_rng(X0))
      | ~ function(X0)
      | apply(X0,sK11(X0,X5)) = X5
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f159]) ).

fof(f159,plain,
    ! [X0,X1,X5] :
      ( ~ relation(X0)
      | apply(X0,sK11(X0,X5)) = X5
      | ~ in(X5,X1)
      | relation_rng(X0) != X1
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f177,plain,
    ! [X2,X0,X7] :
      ( in(apply(X0,X7),relation_image(X0,X2))
      | ~ in(X7,relation_dom(X0))
      | ~ in(X7,X2)
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(equality_resolution,[],[f176]) ).

fof(f176,plain,
    ! [X2,X0,X1,X7] :
      ( ~ relation(X0)
      | in(apply(X0,X7),X1)
      | ~ in(X7,X2)
      | ~ in(X7,relation_dom(X0))
      | relation_image(X0,X2) != X1
      | ~ function(X0) ),
    inference(equality_resolution,[],[f148]) ).

fof(f148,plain,
    ! [X2,X0,X1,X6,X7] :
      ( ~ relation(X0)
      | in(X6,X1)
      | ~ in(X7,X2)
      | apply(X0,X7) != X6
      | ~ in(X7,relation_dom(X0))
      | relation_image(X0,X2) != X1
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1,X2] :
          ( ( relation_image(X0,X2) = X1
            | ( ( ! [X4] :
                    ( ~ in(X4,X2)
                    | apply(X0,X4) != sK4(X0,X1,X2)
                    | ~ in(X4,relation_dom(X0)) )
                | ~ in(sK4(X0,X1,X2),X1) )
              & ( ( in(sK5(X0,X1,X2),X2)
                  & sK4(X0,X1,X2) = apply(X0,sK5(X0,X1,X2))
                  & in(sK5(X0,X1,X2),relation_dom(X0)) )
                | in(sK4(X0,X1,X2),X1) ) ) )
          & ( ! [X6] :
                ( ( in(X6,X1)
                  | ! [X7] :
                      ( ~ in(X7,X2)
                      | apply(X0,X7) != X6
                      | ~ in(X7,relation_dom(X0)) ) )
                & ( ( in(sK6(X0,X2,X6),X2)
                    & apply(X0,sK6(X0,X2,X6)) = X6
                    & in(sK6(X0,X2,X6),relation_dom(X0)) )
                  | ~ in(X6,X1) ) )
            | relation_image(X0,X2) != X1 ) )
      | ~ function(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f94,f97,f96,f95]) ).

fof(f95,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) != sK4(X0,X1,X2)
              | ~ in(X4,relation_dom(X0)) )
          | ~ in(sK4(X0,X1,X2),X1) )
        & ( ? [X5] :
              ( in(X5,X2)
              & sK4(X0,X1,X2) = apply(X0,X5)
              & in(X5,relation_dom(X0)) )
          | in(sK4(X0,X1,X2),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f96,plain,
    ! [X0,X1,X2] :
      ( ? [X5] :
          ( in(X5,X2)
          & sK4(X0,X1,X2) = apply(X0,X5)
          & in(X5,relation_dom(X0)) )
     => ( in(sK5(X0,X1,X2),X2)
        & sK4(X0,X1,X2) = apply(X0,sK5(X0,X1,X2))
        & in(sK5(X0,X1,X2),relation_dom(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f97,plain,
    ! [X0,X2,X6] :
      ( ? [X8] :
          ( in(X8,X2)
          & apply(X0,X8) = X6
          & in(X8,relation_dom(X0)) )
     => ( in(sK6(X0,X2,X6),X2)
        & apply(X0,sK6(X0,X2,X6)) = X6
        & in(sK6(X0,X2,X6),relation_dom(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f94,plain,
    ! [X0] :
      ( ~ relation(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) ),
    inference(rectify,[],[f93]) ).

fof(f93,plain,
    ! [X0] :
      ( ~ relation(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) )
                & ( ? [X4] :
                      ( in(X4,X2)
                      & apply(X0,X4) = X3
                      & in(X4,relation_dom(X0)) )
                  | in(X3,X1) ) ) )
          & ( ! [X3] :
                ( ( in(X3,X1)
                  | ! [X4] :
                      ( ~ in(X4,X2)
                      | apply(X0,X4) != X3
                      | ~ in(X4,relation_dom(X0)) ) )
                & ( ? [X4] :
                      ( in(X4,X2)
                      & apply(X0,X4) = X3
                      & in(X4,relation_dom(X0)) )
                  | ~ in(X3,X1) ) )
            | relation_image(X0,X2) != X1 ) )
      | ~ function(X0) ),
    inference(nnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1,X2] :
          ( relation_image(X0,X2) = X1
        <=> ! [X3] :
              ( in(X3,X1)
            <=> ? [X4] :
                  ( in(X4,X2)
                  & apply(X0,X4) = X3
                  & in(X4,relation_dom(X0)) ) ) )
      | ~ function(X0) ),
    inference(flattening,[],[f59]) ).

fof(f59,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( relation_image(X0,X2) = X1
        <=> ! [X3] :
              ( in(X3,X1)
            <=> ? [X4] :
                  ( in(X4,X2)
                  & apply(X0,X4) = X3
                  & in(X4,relation_dom(X0)) ) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ! [X1,X2] :
          ( relation_image(X0,X2) = X1
        <=> ! [X3] :
              ( in(X3,X1)
            <=> ? [X4] :
                  ( in(X4,X2)
                  & apply(X0,X4) = X3
                  & in(X4,relation_dom(X0)) ) ) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ! [X2,X1] :
          ( relation_image(X0,X1) = X2
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( apply(X0,X4) = X3
                  & in(X4,relation_dom(X0))
                  & in(X4,X1) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_funct_1) ).

fof(f191,plain,
    ~ in(sK8(sK12,relation_image(sK13,relation_inverse_image(sK13,sK12))),relation_image(sK13,relation_inverse_image(sK13,sK12))),
    inference(unit_resulting_resolution,[],[f188,f157]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( ~ in(sK8(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f338,plain,
    in(sK11(sK13,sK8(sK12,relation_image(sK13,relation_inverse_image(sK13,sK12)))),relation_inverse_image(sK13,sK12)),
    inference(unit_resulting_resolution,[],[f193,f248]) ).

fof(f248,plain,
    ! [X4] :
      ( in(sK11(sK13,sK8(sK12,relation_image(sK13,relation_inverse_image(sK13,sK12)))),relation_inverse_image(sK13,X4))
      | ~ in(sK8(sK12,relation_image(sK13,relation_inverse_image(sK13,sK12))),X4) ),
    inference(subsumption_resolution,[],[f247,f205]) ).

fof(f247,plain,
    ! [X4] :
      ( ~ in(sK11(sK13,sK8(sK12,relation_image(sK13,relation_inverse_image(sK13,sK12)))),relation_dom(sK13))
      | in(sK11(sK13,sK8(sK12,relation_image(sK13,relation_inverse_image(sK13,sK12)))),relation_inverse_image(sK13,X4))
      | ~ in(sK8(sK12,relation_image(sK13,relation_inverse_image(sK13,sK12))),X4) ),
    inference(subsumption_resolution,[],[f246,f167]) ).

fof(f246,plain,
    ! [X4] :
      ( ~ function(sK13)
      | ~ in(sK11(sK13,sK8(sK12,relation_image(sK13,relation_inverse_image(sK13,sK12)))),relation_dom(sK13))
      | in(sK11(sK13,sK8(sK12,relation_image(sK13,relation_inverse_image(sK13,sK12)))),relation_inverse_image(sK13,X4))
      | ~ in(sK8(sK12,relation_image(sK13,relation_inverse_image(sK13,sK12))),X4) ),
    inference(subsumption_resolution,[],[f239,f165]) ).

fof(f239,plain,
    ! [X4] :
      ( ~ relation(sK13)
      | in(sK11(sK13,sK8(sK12,relation_image(sK13,relation_inverse_image(sK13,sK12)))),relation_inverse_image(sK13,X4))
      | ~ function(sK13)
      | ~ in(sK8(sK12,relation_image(sK13,relation_inverse_image(sK13,sK12))),X4)
      | ~ in(sK11(sK13,sK8(sK12,relation_image(sK13,relation_inverse_image(sK13,sK12)))),relation_dom(sK13)) ),
    inference(superposition,[],[f173,f206]) ).

fof(f173,plain,
    ! [X2,X0,X4] :
      ( ~ in(apply(X0,X4),X2)
      | ~ relation(X0)
      | in(X4,relation_inverse_image(X0,X2))
      | ~ in(X4,relation_dom(X0))
      | ~ function(X0) ),
    inference(equality_resolution,[],[f123]) ).

fof(f123,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X1)
      | ~ in(apply(X0,X4),X2)
      | ~ in(X4,relation_dom(X0))
      | relation_inverse_image(X0,X2) != X1
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relation_inverse_image(X0,X2) = X1
            | ( ( ~ in(sK0(X0,X1,X2),X1)
                | ~ in(apply(X0,sK0(X0,X1,X2)),X2)
                | ~ in(sK0(X0,X1,X2),relation_dom(X0)) )
              & ( in(sK0(X0,X1,X2),X1)
                | ( in(apply(X0,sK0(X0,X1,X2)),X2)
                  & in(sK0(X0,X1,X2),relation_dom(X0)) ) ) ) )
          & ( ! [X4] :
                ( ( ( in(apply(X0,X4),X2)
                    & in(X4,relation_dom(X0)) )
                  | ~ in(X4,X1) )
                & ( in(X4,X1)
                  | ~ in(apply(X0,X4),X2)
                  | ~ in(X4,relation_dom(X0)) ) )
            | relation_inverse_image(X0,X2) != X1 ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f79,f80]) ).

fof(f80,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ~ in(X3,X1)
            | ~ in(apply(X0,X3),X2)
            | ~ in(X3,relation_dom(X0)) )
          & ( in(X3,X1)
            | ( in(apply(X0,X3),X2)
              & in(X3,relation_dom(X0)) ) ) )
     => ( ( ~ in(sK0(X0,X1,X2),X1)
          | ~ in(apply(X0,sK0(X0,X1,X2)),X2)
          | ~ in(sK0(X0,X1,X2),relation_dom(X0)) )
        & ( in(sK0(X0,X1,X2),X1)
          | ( in(apply(X0,sK0(X0,X1,X2)),X2)
            & in(sK0(X0,X1,X2),relation_dom(X0)) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f79,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relation_inverse_image(X0,X2) = X1
            | ? [X3] :
                ( ( ~ in(X3,X1)
                  | ~ in(apply(X0,X3),X2)
                  | ~ in(X3,relation_dom(X0)) )
                & ( in(X3,X1)
                  | ( in(apply(X0,X3),X2)
                    & in(X3,relation_dom(X0)) ) ) ) )
          & ( ! [X4] :
                ( ( ( in(apply(X0,X4),X2)
                    & in(X4,relation_dom(X0)) )
                  | ~ in(X4,X1) )
                & ( in(X4,X1)
                  | ~ in(apply(X0,X4),X2)
                  | ~ in(X4,relation_dom(X0)) ) )
            | relation_inverse_image(X0,X2) != X1 ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(rectify,[],[f78]) ).

fof(f78,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relation_inverse_image(X0,X2) = X1
            | ? [X3] :
                ( ( ~ in(X3,X1)
                  | ~ in(apply(X0,X3),X2)
                  | ~ in(X3,relation_dom(X0)) )
                & ( in(X3,X1)
                  | ( in(apply(X0,X3),X2)
                    & in(X3,relation_dom(X0)) ) ) ) )
          & ( ! [X3] :
                ( ( ( in(apply(X0,X3),X2)
                    & in(X3,relation_dom(X0)) )
                  | ~ in(X3,X1) )
                & ( in(X3,X1)
                  | ~ in(apply(X0,X3),X2)
                  | ~ in(X3,relation_dom(X0)) ) )
            | relation_inverse_image(X0,X2) != X1 ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(flattening,[],[f77]) ).

fof(f77,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relation_inverse_image(X0,X2) = X1
            | ? [X3] :
                ( ( ~ in(X3,X1)
                  | ~ in(apply(X0,X3),X2)
                  | ~ in(X3,relation_dom(X0)) )
                & ( in(X3,X1)
                  | ( in(apply(X0,X3),X2)
                    & in(X3,relation_dom(X0)) ) ) ) )
          & ( ! [X3] :
                ( ( ( in(apply(X0,X3),X2)
                    & in(X3,relation_dom(X0)) )
                  | ~ in(X3,X1) )
                & ( in(X3,X1)
                  | ~ in(apply(X0,X3),X2)
                  | ~ in(X3,relation_dom(X0)) ) )
            | relation_inverse_image(X0,X2) != X1 ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( relation_inverse_image(X0,X2) = X1
        <=> ! [X3] :
              ( ( in(apply(X0,X3),X2)
                & in(X3,relation_dom(X0)) )
            <=> in(X3,X1) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(flattening,[],[f71]) ).

fof(f71,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( relation_inverse_image(X0,X2) = X1
        <=> ! [X3] :
              ( ( in(apply(X0,X3),X2)
                & in(X3,relation_dom(X0)) )
            <=> in(X3,X1) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ! [X1,X2] :
          ( relation_inverse_image(X0,X2) = X1
        <=> ! [X3] :
              ( ( in(apply(X0,X3),X2)
                & in(X3,relation_dom(X0)) )
            <=> in(X3,X1) ) ) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ! [X2,X1] :
          ( ! [X3] :
              ( ( in(apply(X0,X3),X1)
                & in(X3,relation_dom(X0)) )
            <=> in(X3,X2) )
        <=> relation_inverse_image(X0,X1) = X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_funct_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SEU228+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13  % 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 : n024.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 14:55:49 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.48  % (30286)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.49  % (30286)Instruction limit reached!
% 0.19/0.49  % (30286)------------------------------
% 0.19/0.49  % (30286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (30278)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.50  % (30271)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.50  % (30294)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.50  % (30286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (30286)Termination reason: Unknown
% 0.19/0.50  % (30286)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (30286)Memory used [KB]: 6140
% 0.19/0.50  % (30286)Time elapsed: 0.088 s
% 0.19/0.50  % (30286)Instructions burned: 8 (million)
% 0.19/0.50  % (30286)------------------------------
% 0.19/0.50  % (30286)------------------------------
% 0.19/0.50  % (30283)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.50  % (30285)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50  % (30284)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (30285)Instruction limit reached!
% 0.19/0.51  % (30285)------------------------------
% 0.19/0.51  % (30285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (30285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (30285)Termination reason: Unknown
% 0.19/0.51  % (30285)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (30285)Memory used [KB]: 6012
% 0.19/0.51  % (30285)Time elapsed: 0.003 s
% 0.19/0.51  % (30285)Instructions burned: 4 (million)
% 0.19/0.51  % (30285)------------------------------
% 0.19/0.51  % (30285)------------------------------
% 0.19/0.52  % (30277)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.52  % (30280)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.52  % (30291)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.52  % (30276)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.52  % (30273)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52  % (30272)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52  % (30293)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.52  % (30273)Instruction limit reached!
% 0.19/0.52  % (30273)------------------------------
% 0.19/0.52  % (30273)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (30273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (30273)Termination reason: Unknown
% 0.19/0.52  % (30273)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (30273)Memory used [KB]: 1535
% 0.19/0.52  % (30273)Time elapsed: 0.003 s
% 0.19/0.52  % (30273)Instructions burned: 4 (million)
% 0.19/0.52  % (30273)------------------------------
% 0.19/0.52  % (30273)------------------------------
% 0.19/0.52  % (30274)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (30275)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.53  % (30287)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53  % (30274)First to succeed.
% 0.19/0.53  % (30289)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53  % (30289)Instruction limit reached!
% 0.19/0.53  % (30289)------------------------------
% 0.19/0.53  % (30289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (30289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (30289)Termination reason: Unknown
% 0.19/0.53  % (30289)Termination phase: Preprocessing 3
% 0.19/0.53  
% 0.19/0.53  % (30289)Memory used [KB]: 1535
% 0.19/0.53  % (30289)Time elapsed: 0.002 s
% 0.19/0.53  % (30289)Instructions burned: 3 (million)
% 0.19/0.53  % (30289)------------------------------
% 0.19/0.53  % (30289)------------------------------
% 0.19/0.53  % (30283)Instruction limit reached!
% 0.19/0.53  % (30283)------------------------------
% 0.19/0.53  % (30283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (30283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (30283)Termination reason: Unknown
% 0.19/0.53  % (30283)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (30283)Memory used [KB]: 1791
% 0.19/0.53  % (30283)Time elapsed: 0.140 s
% 0.19/0.53  % (30283)Instructions burned: 17 (million)
% 0.19/0.53  % (30283)------------------------------
% 0.19/0.53  % (30283)------------------------------
% 0.19/0.53  % (30290)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.53  % (30288)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53  % (30279)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.53  % (30299)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.53  % (30288)Instruction limit reached!
% 0.19/0.53  % (30288)------------------------------
% 0.19/0.53  % (30288)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (30288)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (30288)Termination reason: Unknown
% 0.19/0.53  % (30288)Termination phase: Finite model building preprocessing
% 0.19/0.53  
% 0.19/0.53  % (30288)Memory used [KB]: 1535
% 0.19/0.53  % (30288)Time elapsed: 0.004 s
% 0.19/0.53  % (30288)Instructions burned: 5 (million)
% 0.19/0.53  % (30288)------------------------------
% 0.19/0.53  % (30288)------------------------------
% 0.19/0.53  % (30290)Refutation not found, incomplete strategy% (30290)------------------------------
% 0.19/0.53  % (30290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (30290)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (30290)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (30290)Memory used [KB]: 6012
% 0.19/0.53  % (30290)Time elapsed: 0.137 s
% 0.19/0.53  % (30290)Instructions burned: 5 (million)
% 0.19/0.53  % (30290)------------------------------
% 0.19/0.53  % (30290)------------------------------
% 0.19/0.53  % (30281)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.53  % (30296)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.54  % (30299)Instruction limit reached!
% 0.19/0.54  % (30299)------------------------------
% 0.19/0.54  % (30299)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (30299)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (30299)Termination reason: Unknown
% 0.19/0.54  % (30299)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (30299)Memory used [KB]: 6140
% 0.19/0.54  % (30299)Time elapsed: 0.144 s
% 0.19/0.54  % (30299)Instructions burned: 9 (million)
% 0.19/0.54  % (30299)------------------------------
% 0.19/0.54  % (30299)------------------------------
% 0.19/0.54  % (30300)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.54  % (30295)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54  % (30282)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54  % (30297)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54  % (30282)Instruction limit reached!
% 0.19/0.54  % (30282)------------------------------
% 0.19/0.54  % (30282)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (30282)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (30282)Termination reason: Unknown
% 0.19/0.54  % (30282)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (30282)Memory used [KB]: 6140
% 0.19/0.54  % (30282)Time elapsed: 0.149 s
% 0.19/0.54  % (30282)Instructions burned: 7 (million)
% 0.19/0.54  % (30282)------------------------------
% 0.19/0.54  % (30282)------------------------------
% 0.19/0.54  % (30298)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.54  % (30278)Instruction limit reached!
% 0.19/0.54  % (30278)------------------------------
% 0.19/0.54  % (30278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (30278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (30278)Termination reason: Unknown
% 0.19/0.54  % (30278)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (30278)Memory used [KB]: 6652
% 0.19/0.54  % (30278)Time elapsed: 0.137 s
% 0.19/0.54  % (30278)Instructions burned: 39 (million)
% 0.19/0.54  % (30278)------------------------------
% 0.19/0.54  % (30278)------------------------------
% 0.19/0.54  % (30292)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54  % (30276)Instruction limit reached!
% 0.19/0.54  % (30276)------------------------------
% 0.19/0.54  % (30276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (30276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (30276)Termination reason: Unknown
% 0.19/0.54  % (30276)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (30276)Memory used [KB]: 1791
% 0.19/0.54  % (30276)Time elapsed: 0.135 s
% 0.19/0.54  % (30276)Instructions burned: 16 (million)
% 0.19/0.54  % (30276)------------------------------
% 0.19/0.54  % (30276)------------------------------
% 0.19/0.54  % (30272)Instruction limit reached!
% 0.19/0.54  % (30272)------------------------------
% 0.19/0.54  % (30272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (30272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (30272)Termination reason: Unknown
% 0.19/0.54  % (30272)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (30272)Memory used [KB]: 6268
% 0.19/0.54  % (30272)Time elapsed: 0.130 s
% 0.19/0.54  % (30272)Instructions burned: 13 (million)
% 0.19/0.54  % (30272)------------------------------
% 0.19/0.54  % (30272)------------------------------
% 0.19/0.55  % (30274)Refutation found. Thanks to Tanya!
% 0.19/0.55  % SZS status Theorem for theBenchmark
% 0.19/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55  % (30274)------------------------------
% 0.19/0.55  % (30274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (30274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (30274)Termination reason: Refutation
% 0.19/0.55  
% 0.19/0.55  % (30274)Memory used [KB]: 6268
% 0.19/0.55  % (30274)Time elapsed: 0.132 s
% 0.19/0.55  % (30274)Instructions burned: 11 (million)
% 0.19/0.55  % (30274)------------------------------
% 0.19/0.55  % (30274)------------------------------
% 0.19/0.55  % (30270)Success in time 0.198 s
%------------------------------------------------------------------------------