TSTP Solution File: SEU226+3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU226+3 : 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 : n019.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 18:27:40 EDT 2022

% Result   : Theorem 1.33s 0.54s
% Output   : Refutation 1.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   49 (  10 unt;   0 def)
%            Number of atoms       :  302 (  50 equ)
%            Maximal formula atoms :   20 (   6 avg)
%            Number of connectives :  387 ( 134   ~; 131   |;  93   &)
%                                         (  16 <=>;  13  =>;   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    :   11 (  11 usr;   2 con; 0-3 aty)
%            Number of variables   :  151 ( 124   !;  27   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f148,plain,
    $false,
    inference(subsumption_resolution,[],[f147,f129]) ).

fof(f129,plain,
    ~ in(sK2(relation_image(sK0,relation_inverse_image(sK0,sK1)),sK1),sK1),
    inference(unit_resulting_resolution,[],[f82,f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ~ in(sK2(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ~ in(X2,X0)
            | in(X2,X1) )
        | ~ subset(X0,X1) )
      & ( subset(X0,X1)
        | ( in(sK2(X0,X1),X0)
          & ~ in(sK2(X0,X1),X1) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f56,f57]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( in(X3,X0)
          & ~ in(X3,X1) )
     => ( in(sK2(X0,X1),X0)
        & ~ in(sK2(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ~ in(X2,X0)
            | in(X2,X1) )
        | ~ subset(X0,X1) )
      & ( subset(X0,X1)
        | ? [X3] :
            ( in(X3,X0)
            & ~ in(X3,X1) ) ) ),
    inference(rectify,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ~ in(X2,X0)
            | in(X2,X1) )
        | ~ subset(X0,X1) )
      & ( subset(X0,X1)
        | ? [X2] :
            ( in(X2,X0)
            & ~ in(X2,X1) ) ) ),
    inference(nnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ~ in(X2,X0)
          | in(X2,X1) )
    <=> subset(X0,X1) ),
    inference(ennf_transformation,[],[f7]) ).

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

fof(f82,plain,
    ~ subset(relation_image(sK0,relation_inverse_image(sK0,sK1)),sK1),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    ( relation(sK0)
    & ~ subset(relation_image(sK0,relation_inverse_image(sK0,sK1)),sK1)
    & function(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f45,f53]) ).

fof(f53,plain,
    ( ? [X0,X1] :
        ( relation(X0)
        & ~ subset(relation_image(X0,relation_inverse_image(X0,X1)),X1)
        & function(X0) )
   => ( relation(sK0)
      & ~ subset(relation_image(sK0,relation_inverse_image(sK0,sK1)),sK1)
      & function(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f45,plain,
    ? [X0,X1] :
      ( relation(X0)
      & ~ subset(relation_image(X0,relation_inverse_image(X0,X1)),X1)
      & function(X0) ),
    inference(flattening,[],[f44]) ).

fof(f44,plain,
    ? [X0,X1] :
      ( ~ subset(relation_image(X0,relation_inverse_image(X0,X1)),X1)
      & relation(X0)
      & function(X0) ),
    inference(ennf_transformation,[],[f36]) ).

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

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

fof(f26,conjecture,
    ! [X1,X0] :
      ( ( 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(f147,plain,
    in(sK2(relation_image(sK0,relation_inverse_image(sK0,sK1)),sK1),sK1),
    inference(forward_demodulation,[],[f143,f134]) ).

fof(f134,plain,
    sK2(relation_image(sK0,relation_inverse_image(sK0,sK1)),sK1) = apply(sK0,sK8(sK0,relation_inverse_image(sK0,sK1),sK2(relation_image(sK0,relation_inverse_image(sK0,sK1)),sK1))),
    inference(unit_resulting_resolution,[],[f83,f81,f127,f122]) ).

fof(f122,plain,
    ! [X2,X3,X0] :
      ( ~ in(X3,relation_image(X0,X2))
      | apply(X0,sK8(X0,X2,X3)) = X3
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f104]) ).

fof(f104,plain,
    ! [X2,X3,X0,X1] :
      ( ~ function(X0)
      | apply(X0,sK8(X0,X2,X3)) = X3
      | ~ in(X3,X1)
      | relation_image(X0,X2) != X1
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0] :
      ( ~ function(X0)
      | ! [X1,X2] :
          ( ( ! [X3] :
                ( ( in(X3,X1)
                  | ! [X4] :
                      ( ~ in(X4,relation_dom(X0))
                      | apply(X0,X4) != X3
                      | ~ in(X4,X2) ) )
                & ( ( in(sK8(X0,X2,X3),relation_dom(X0))
                    & apply(X0,sK8(X0,X2,X3)) = X3
                    & in(sK8(X0,X2,X3),X2) )
                  | ~ in(X3,X1) ) )
            | relation_image(X0,X2) != X1 )
          & ( relation_image(X0,X2) = X1
            | ( ( ! [X7] :
                    ( ~ in(X7,relation_dom(X0))
                    | apply(X0,X7) != sK9(X0,X1,X2)
                    | ~ in(X7,X2) )
                | ~ in(sK9(X0,X1,X2),X1) )
              & ( ( in(sK10(X0,X1,X2),relation_dom(X0))
                  & sK9(X0,X1,X2) = apply(X0,sK10(X0,X1,X2))
                  & in(sK10(X0,X1,X2),X2) )
                | in(sK9(X0,X1,X2),X1) ) ) ) )
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f70,f73,f72,f71]) ).

fof(f71,plain,
    ! [X0,X2,X3] :
      ( ? [X5] :
          ( in(X5,relation_dom(X0))
          & apply(X0,X5) = X3
          & in(X5,X2) )
     => ( in(sK8(X0,X2,X3),relation_dom(X0))
        & apply(X0,sK8(X0,X2,X3)) = X3
        & in(sK8(X0,X2,X3),X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f72,plain,
    ! [X0,X1,X2] :
      ( ? [X6] :
          ( ( ! [X7] :
                ( ~ in(X7,relation_dom(X0))
                | apply(X0,X7) != X6
                | ~ in(X7,X2) )
            | ~ in(X6,X1) )
          & ( ? [X8] :
                ( in(X8,relation_dom(X0))
                & apply(X0,X8) = X6
                & in(X8,X2) )
            | in(X6,X1) ) )
     => ( ( ! [X7] :
              ( ~ in(X7,relation_dom(X0))
              | apply(X0,X7) != sK9(X0,X1,X2)
              | ~ in(X7,X2) )
          | ~ in(sK9(X0,X1,X2),X1) )
        & ( ? [X8] :
              ( in(X8,relation_dom(X0))
              & apply(X0,X8) = sK9(X0,X1,X2)
              & in(X8,X2) )
          | in(sK9(X0,X1,X2),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f73,plain,
    ! [X0,X1,X2] :
      ( ? [X8] :
          ( in(X8,relation_dom(X0))
          & apply(X0,X8) = sK9(X0,X1,X2)
          & in(X8,X2) )
     => ( in(sK10(X0,X1,X2),relation_dom(X0))
        & sK9(X0,X1,X2) = apply(X0,sK10(X0,X1,X2))
        & in(sK10(X0,X1,X2),X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f70,plain,
    ! [X0] :
      ( ~ function(X0)
      | ! [X1,X2] :
          ( ( ! [X3] :
                ( ( in(X3,X1)
                  | ! [X4] :
                      ( ~ in(X4,relation_dom(X0))
                      | apply(X0,X4) != X3
                      | ~ in(X4,X2) ) )
                & ( ? [X5] :
                      ( in(X5,relation_dom(X0))
                      & apply(X0,X5) = X3
                      & in(X5,X2) )
                  | ~ in(X3,X1) ) )
            | relation_image(X0,X2) != X1 )
          & ( relation_image(X0,X2) = X1
            | ? [X6] :
                ( ( ! [X7] :
                      ( ~ in(X7,relation_dom(X0))
                      | apply(X0,X7) != X6
                      | ~ in(X7,X2) )
                  | ~ in(X6,X1) )
                & ( ? [X8] :
                      ( in(X8,relation_dom(X0))
                      & apply(X0,X8) = X6
                      & in(X8,X2) )
                  | in(X6,X1) ) ) ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f69]) ).

fof(f69,plain,
    ! [X0] :
      ( ~ function(X0)
      | ! [X2,X1] :
          ( ( ! [X3] :
                ( ( in(X3,X2)
                  | ! [X4] :
                      ( ~ in(X4,relation_dom(X0))
                      | apply(X0,X4) != X3
                      | ~ in(X4,X1) ) )
                & ( ? [X4] :
                      ( in(X4,relation_dom(X0))
                      & apply(X0,X4) = X3
                      & in(X4,X1) )
                  | ~ in(X3,X2) ) )
            | relation_image(X0,X1) != X2 )
          & ( relation_image(X0,X1) = X2
            | ? [X3] :
                ( ( ! [X4] :
                      ( ~ in(X4,relation_dom(X0))
                      | apply(X0,X4) != X3
                      | ~ in(X4,X1) )
                  | ~ in(X3,X2) )
                & ( ? [X4] :
                      ( in(X4,relation_dom(X0))
                      & apply(X0,X4) = X3
                      & in(X4,X1) )
                  | in(X3,X2) ) ) ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0] :
      ( ~ function(X0)
      | ! [X2,X1] :
          ( ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( in(X4,relation_dom(X0))
                  & apply(X0,X4) = X3
                  & in(X4,X1) ) )
        <=> relation_image(X0,X1) = X2 )
      | ~ relation(X0) ),
    inference(flattening,[],[f48]) ).

fof(f48,plain,
    ! [X0] :
      ( ! [X2,X1] :
          ( ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( in(X4,relation_dom(X0))
                  & apply(X0,X4) = X3
                  & in(X4,X1) ) )
        <=> relation_image(X0,X1) = X2 )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(ennf_transformation,[],[f5]) ).

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

fof(f127,plain,
    in(sK2(relation_image(sK0,relation_inverse_image(sK0,sK1)),sK1),relation_image(sK0,relation_inverse_image(sK0,sK1))),
    inference(unit_resulting_resolution,[],[f82,f85]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( in(sK2(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f81,plain,
    function(sK0),
    inference(cnf_transformation,[],[f54]) ).

fof(f83,plain,
    relation(sK0),
    inference(cnf_transformation,[],[f54]) ).

fof(f143,plain,
    in(apply(sK0,sK8(sK0,relation_inverse_image(sK0,sK1),sK2(relation_image(sK0,relation_inverse_image(sK0,sK1)),sK1))),sK1),
    inference(unit_resulting_resolution,[],[f83,f81,f133,f125]) ).

fof(f125,plain,
    ! [X3,X0,X1] :
      ( ~ in(X3,relation_inverse_image(X0,X1))
      | ~ relation(X0)
      | ~ function(X0)
      | in(apply(X0,X3),X1) ),
    inference(equality_resolution,[],[f117]) ).

fof(f117,plain,
    ! [X2,X3,X0,X1] :
      ( ~ function(X0)
      | ~ relation(X0)
      | in(apply(X0,X3),X1)
      | ~ in(X3,X2)
      | relation_inverse_image(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ! [X1,X2] :
          ( ( ! [X3] :
                ( ( ( in(X3,relation_dom(X0))
                    & in(apply(X0,X3),X1) )
                  | ~ in(X3,X2) )
                & ( in(X3,X2)
                  | ~ in(X3,relation_dom(X0))
                  | ~ in(apply(X0,X3),X1) ) )
            | relation_inverse_image(X0,X1) != X2 )
          & ( relation_inverse_image(X0,X1) = X2
            | ( ( ~ in(sK11(X0,X1,X2),X2)
                | ~ in(sK11(X0,X1,X2),relation_dom(X0))
                | ~ in(apply(X0,sK11(X0,X1,X2)),X1) )
              & ( in(sK11(X0,X1,X2),X2)
                | ( in(sK11(X0,X1,X2),relation_dom(X0))
                  & in(apply(X0,sK11(X0,X1,X2)),X1) ) ) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f78,f79]) ).

fof(f79,plain,
    ! [X0,X1,X2] :
      ( ? [X4] :
          ( ( ~ in(X4,X2)
            | ~ in(X4,relation_dom(X0))
            | ~ in(apply(X0,X4),X1) )
          & ( in(X4,X2)
            | ( in(X4,relation_dom(X0))
              & in(apply(X0,X4),X1) ) ) )
     => ( ( ~ in(sK11(X0,X1,X2),X2)
          | ~ in(sK11(X0,X1,X2),relation_dom(X0))
          | ~ in(apply(X0,sK11(X0,X1,X2)),X1) )
        & ( in(sK11(X0,X1,X2),X2)
          | ( in(sK11(X0,X1,X2),relation_dom(X0))
            & in(apply(X0,sK11(X0,X1,X2)),X1) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f78,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ! [X1,X2] :
          ( ( ! [X3] :
                ( ( ( in(X3,relation_dom(X0))
                    & in(apply(X0,X3),X1) )
                  | ~ in(X3,X2) )
                & ( in(X3,X2)
                  | ~ in(X3,relation_dom(X0))
                  | ~ in(apply(X0,X3),X1) ) )
            | relation_inverse_image(X0,X1) != X2 )
          & ( relation_inverse_image(X0,X1) = X2
            | ? [X4] :
                ( ( ~ in(X4,X2)
                  | ~ in(X4,relation_dom(X0))
                  | ~ in(apply(X0,X4),X1) )
                & ( in(X4,X2)
                  | ( in(X4,relation_dom(X0))
                    & in(apply(X0,X4),X1) ) ) ) ) ) ),
    inference(rectify,[],[f77]) ).

fof(f77,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ! [X2,X1] :
          ( ( ! [X3] :
                ( ( ( in(X3,relation_dom(X0))
                    & in(apply(X0,X3),X2) )
                  | ~ in(X3,X1) )
                & ( in(X3,X1)
                  | ~ in(X3,relation_dom(X0))
                  | ~ in(apply(X0,X3),X2) ) )
            | relation_inverse_image(X0,X2) != X1 )
          & ( relation_inverse_image(X0,X2) = X1
            | ? [X3] :
                ( ( ~ in(X3,X1)
                  | ~ in(X3,relation_dom(X0))
                  | ~ in(apply(X0,X3),X2) )
                & ( in(X3,X1)
                  | ( in(X3,relation_dom(X0))
                    & in(apply(X0,X3),X2) ) ) ) ) ) ),
    inference(flattening,[],[f76]) ).

fof(f76,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ! [X2,X1] :
          ( ( ! [X3] :
                ( ( ( in(X3,relation_dom(X0))
                    & in(apply(X0,X3),X2) )
                  | ~ in(X3,X1) )
                & ( in(X3,X1)
                  | ~ in(X3,relation_dom(X0))
                  | ~ in(apply(X0,X3),X2) ) )
            | relation_inverse_image(X0,X2) != X1 )
          & ( relation_inverse_image(X0,X2) = X1
            | ? [X3] :
                ( ( ~ in(X3,X1)
                  | ~ in(X3,relation_dom(X0))
                  | ~ in(apply(X0,X3),X2) )
                & ( in(X3,X1)
                  | ( in(X3,relation_dom(X0))
                    & in(apply(X0,X3),X2) ) ) ) ) ) ),
    inference(nnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ! [X2,X1] :
          ( ! [X3] :
              ( ( in(X3,relation_dom(X0))
                & in(apply(X0,X3),X2) )
            <=> in(X3,X1) )
        <=> relation_inverse_image(X0,X2) = X1 ) ),
    inference(flattening,[],[f42]) ).

fof(f42,plain,
    ! [X0] :
      ( ! [X2,X1] :
          ( ! [X3] :
              ( ( in(X3,relation_dom(X0))
                & in(apply(X0,X3),X2) )
            <=> in(X3,X1) )
        <=> relation_inverse_image(X0,X2) = X1 )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ( relation(X0)
        & function(X0) )
     => ! [X2,X1] :
          ( ! [X3] :
              ( ( in(X3,relation_dom(X0))
                & in(apply(X0,X3),X2) )
            <=> in(X3,X1) )
        <=> relation_inverse_image(X0,X2) = X1 ) ),
    inference(rectify,[],[f6]) ).

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

fof(f133,plain,
    in(sK8(sK0,relation_inverse_image(sK0,sK1),sK2(relation_image(sK0,relation_inverse_image(sK0,sK1)),sK1)),relation_inverse_image(sK0,sK1)),
    inference(unit_resulting_resolution,[],[f81,f83,f127,f123]) ).

fof(f123,plain,
    ! [X2,X3,X0] :
      ( in(sK8(X0,X2,X3),X2)
      | ~ function(X0)
      | ~ relation(X0)
      | ~ in(X3,relation_image(X0,X2)) ),
    inference(equality_resolution,[],[f103]) ).

fof(f103,plain,
    ! [X2,X3,X0,X1] :
      ( ~ function(X0)
      | in(sK8(X0,X2,X3),X2)
      | ~ in(X3,X1)
      | relation_image(X0,X2) != X1
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f74]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SEU226+3 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n019.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 14:56:20 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.50  % (9466)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)
% 0.21/0.51  % (9458)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)
% 0.21/0.51  % (9476)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)
% 0.21/0.51  % (9463)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)
% 0.21/0.51  % (9468)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)
% 0.21/0.51  % (9454)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.51  % (9465)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)
% 0.21/0.52  % (9464)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)
% 0.21/0.52  % (9459)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)
% 0.21/0.52  % (9468)Instruction limit reached!
% 0.21/0.52  % (9468)------------------------------
% 0.21/0.52  % (9468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (9468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (9468)Termination reason: Unknown
% 0.21/0.52  % (9468)Termination phase: Saturation
% 0.21/0.52  
% 0.21/0.52  % (9468)Memory used [KB]: 6012
% 0.21/0.52  % (9468)Time elapsed: 0.005 s
% 0.21/0.52  % (9468)Instructions burned: 3 (million)
% 0.21/0.52  % (9468)------------------------------
% 0.21/0.52  % (9468)------------------------------
% 0.21/0.52  % (9460)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)
% 1.33/0.53  % (9473)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)
% 1.33/0.53  % (9458)Instruction limit reached!
% 1.33/0.53  % (9458)------------------------------
% 1.33/0.53  % (9458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.53  % (9475)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)
% 1.33/0.53  % (9457)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)
% 1.33/0.53  % (9461)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)
% 1.33/0.53  % (9455)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)
% 1.33/0.53  % (9456)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)
% 1.33/0.53  % (9456)Instruction limit reached!
% 1.33/0.53  % (9456)------------------------------
% 1.33/0.53  % (9456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.53  % (9456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.53  % (9456)Termination reason: Unknown
% 1.33/0.53  % (9456)Termination phase: Property scanning
% 1.33/0.53  
% 1.33/0.53  % (9456)Memory used [KB]: 1535
% 1.33/0.53  % (9456)Time elapsed: 0.002 s
% 1.33/0.53  % (9456)Instructions burned: 3 (million)
% 1.33/0.53  % (9456)------------------------------
% 1.33/0.53  % (9456)------------------------------
% 1.33/0.54  % (9465)Instruction limit reached!
% 1.33/0.54  % (9465)------------------------------
% 1.33/0.54  % (9465)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.54  % (9474)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)
% 1.33/0.54  % (9459)Instruction limit reached!
% 1.33/0.54  % (9459)------------------------------
% 1.33/0.54  % (9459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.54  % (9455)Refutation not found, incomplete strategy% (9455)------------------------------
% 1.33/0.54  % (9455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.54  % (9457)First to succeed.
% 1.33/0.54  % (9465)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.54  % (9465)Termination reason: Unknown
% 1.33/0.54  % (9465)Termination phase: Saturation
% 1.33/0.54  
% 1.33/0.54  % (9465)Memory used [KB]: 6140
% 1.33/0.54  % (9465)Time elapsed: 0.129 s
% 1.33/0.54  % (9465)Instructions burned: 8 (million)
% 1.33/0.54  % (9465)------------------------------
% 1.33/0.54  % (9465)------------------------------
% 1.33/0.54  % (9482)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)
% 1.33/0.54  % (9463)Also succeeded, but the first one will report.
% 1.33/0.54  % (9455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.54  % (9455)Termination reason: Refutation not found, incomplete strategy
% 1.33/0.54  
% 1.33/0.54  % (9455)Memory used [KB]: 6012
% 1.33/0.54  % (9455)Time elapsed: 0.129 s
% 1.33/0.54  % (9455)Instructions burned: 3 (million)
% 1.33/0.54  % (9455)------------------------------
% 1.33/0.54  % (9455)------------------------------
% 1.33/0.54  % (9472)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)
% 1.33/0.54  % (9457)Refutation found. Thanks to Tanya!
% 1.33/0.54  % SZS status Theorem for theBenchmark
% 1.33/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.33/0.54  % (9457)------------------------------
% 1.33/0.54  % (9457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.54  % (9457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.54  % (9457)Termination reason: Refutation
% 1.33/0.54  
% 1.33/0.54  % (9457)Memory used [KB]: 6012
% 1.33/0.54  % (9457)Time elapsed: 0.129 s
% 1.33/0.54  % (9457)Instructions burned: 4 (million)
% 1.33/0.54  % (9457)------------------------------
% 1.33/0.54  % (9457)------------------------------
% 1.33/0.54  % (9453)Success in time 0.182 s
%------------------------------------------------------------------------------