TSTP Solution File: SEU068+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU068+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n023.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 : Sun May  5 09:20:08 EDT 2024

% Result   : Theorem 0.59s 0.84s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   37
%            Number of leaves      :   17
% Syntax   : Number of formulae    :  122 (  14 unt;   0 def)
%            Number of atoms       :  584 (  70 equ)
%            Maximal formula atoms :   20 (   4 avg)
%            Number of connectives :  772 ( 310   ~; 319   |; 115   &)
%                                         (  16 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;   8 con; 0-3 aty)
%            Number of variables   :  290 ( 256   !;  34   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2070,plain,
    $false,
    inference(subsumption_resolution,[],[f2069,f145]) ).

fof(f145,plain,
    ~ subset(sF15,sF17),
    inference(definition_folding,[],[f87,f144,f143,f142,f141,f140]) ).

fof(f140,plain,
    relation_inverse_image(sK2,sK1) = sF13,
    introduced(function_definition,[new_symbols(definition,[sF13])]) ).

fof(f141,plain,
    set_intersection2(sK0,sF13) = sF14,
    introduced(function_definition,[new_symbols(definition,[sF14])]) ).

fof(f142,plain,
    relation_image(sK2,sF14) = sF15,
    introduced(function_definition,[new_symbols(definition,[sF15])]) ).

fof(f143,plain,
    relation_image(sK2,sK0) = sF16,
    introduced(function_definition,[new_symbols(definition,[sF16])]) ).

fof(f144,plain,
    set_intersection2(sF16,sK1) = sF17,
    introduced(function_definition,[new_symbols(definition,[sF17])]) ).

fof(f87,plain,
    ~ subset(relation_image(sK2,set_intersection2(sK0,relation_inverse_image(sK2,sK1))),set_intersection2(relation_image(sK2,sK0),sK1)),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ( ~ subset(relation_image(sK2,set_intersection2(sK0,relation_inverse_image(sK2,sK1))),set_intersection2(relation_image(sK2,sK0),sK1))
    & function(sK2)
    & relation(sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f44,f54]) ).

fof(f54,plain,
    ( ? [X0,X1,X2] :
        ( ~ subset(relation_image(X2,set_intersection2(X0,relation_inverse_image(X2,X1))),set_intersection2(relation_image(X2,X0),X1))
        & function(X2)
        & relation(X2) )
   => ( ~ subset(relation_image(sK2,set_intersection2(sK0,relation_inverse_image(sK2,sK1))),set_intersection2(relation_image(sK2,sK0),sK1))
      & function(sK2)
      & relation(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f44,plain,
    ? [X0,X1,X2] :
      ( ~ subset(relation_image(X2,set_intersection2(X0,relation_inverse_image(X2,X1))),set_intersection2(relation_image(X2,X0),X1))
      & function(X2)
      & relation(X2) ),
    inference(flattening,[],[f43]) ).

fof(f43,plain,
    ? [X0,X1,X2] :
      ( ~ subset(relation_image(X2,set_intersection2(X0,relation_inverse_image(X2,X1))),set_intersection2(relation_image(X2,X0),X1))
      & function(X2)
      & relation(X2) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( function(X2)
          & relation(X2) )
       => subset(relation_image(X2,set_intersection2(X0,relation_inverse_image(X2,X1))),set_intersection2(relation_image(X2,X0),X1)) ),
    inference(negated_conjecture,[],[f30]) ).

fof(f30,conjecture,
    ! [X0,X1,X2] :
      ( ( function(X2)
        & relation(X2) )
     => subset(relation_image(X2,set_intersection2(X0,relation_inverse_image(X2,X1))),set_intersection2(relation_image(X2,X0),X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.0GQ4lMwSS7/Vampire---4.8_14301',t149_funct_1) ).

fof(f2069,plain,
    subset(sF15,sF17),
    inference(forward_demodulation,[],[f2064,f144]) ).

fof(f2064,plain,
    subset(sF15,set_intersection2(sF16,sK1)),
    inference(duplicate_literal_removal,[],[f2047]) ).

fof(f2047,plain,
    ( subset(sF15,set_intersection2(sF16,sK1))
    | subset(sF15,set_intersection2(sF16,sK1)) ),
    inference(resolution,[],[f1231,f515]) ).

fof(f515,plain,
    ! [X0] :
      ( in(sK12(sF15,X0),sF16)
      | subset(sF15,X0) ),
    inference(resolution,[],[f501,f127]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( in(sK12(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ in(sK12(X0,X1),X1)
          & in(sK12(X0,X1),X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f82,f83]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ in(X2,X1)
          & in(X2,X0) )
     => ( ~ in(sK12(X0,X1),X1)
        & in(sK12(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f82,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,[],[f81]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X2] :
            ( in(X2,X1)
            | ~ in(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.0GQ4lMwSS7/Vampire---4.8_14301',d3_tarski) ).

fof(f501,plain,
    ! [X0] :
      ( ~ in(X0,sF15)
      | in(X0,sF16) ),
    inference(forward_demodulation,[],[f500,f142]) ).

fof(f500,plain,
    ! [X0] :
      ( in(X0,sF16)
      | ~ in(X0,relation_image(sK2,sF14)) ),
    inference(subsumption_resolution,[],[f499,f85]) ).

fof(f85,plain,
    relation(sK2),
    inference(cnf_transformation,[],[f55]) ).

fof(f499,plain,
    ! [X0] :
      ( in(X0,sF16)
      | ~ in(X0,relation_image(sK2,sF14))
      | ~ relation(sK2) ),
    inference(subsumption_resolution,[],[f498,f86]) ).

fof(f86,plain,
    function(sK2),
    inference(cnf_transformation,[],[f55]) ).

fof(f498,plain,
    ! [X0] :
      ( in(X0,sF16)
      | ~ in(X0,relation_image(sK2,sF14))
      | ~ function(sK2)
      | ~ relation(sK2) ),
    inference(duplicate_literal_removal,[],[f497]) ).

fof(f497,plain,
    ! [X0] :
      ( in(X0,sF16)
      | ~ in(X0,relation_image(sK2,sF14))
      | ~ in(X0,relation_image(sK2,sF14))
      | ~ function(sK2)
      | ~ relation(sK2) ),
    inference(resolution,[],[f494,f135]) ).

fof(f135,plain,
    ! [X0,X1,X6] :
      ( in(sK6(X0,X1,X6),X1)
      | ~ in(X6,relation_image(X0,X1))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f99]) ).

fof(f99,plain,
    ! [X2,X0,X1,X6] :
      ( in(sK6(X0,X1,X6),X1)
      | ~ in(X6,X2)
      | relation_image(X0,X1) != X2
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relation_image(X0,X1) = X2
            | ( ( ! [X4] :
                    ( apply(X0,X4) != sK4(X0,X1,X2)
                    | ~ in(X4,X1)
                    | ~ in(X4,relation_dom(X0)) )
                | ~ in(sK4(X0,X1,X2),X2) )
              & ( ( sK4(X0,X1,X2) = apply(X0,sK5(X0,X1,X2))
                  & in(sK5(X0,X1,X2),X1)
                  & in(sK5(X0,X1,X2),relation_dom(X0)) )
                | in(sK4(X0,X1,X2),X2) ) ) )
          & ( ! [X6] :
                ( ( in(X6,X2)
                  | ! [X7] :
                      ( apply(X0,X7) != X6
                      | ~ in(X7,X1)
                      | ~ in(X7,relation_dom(X0)) ) )
                & ( ( apply(X0,sK6(X0,X1,X6)) = X6
                    & in(sK6(X0,X1,X6),X1)
                    & in(sK6(X0,X1,X6),relation_dom(X0)) )
                  | ~ in(X6,X2) ) )
            | relation_image(X0,X1) != X2 ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f62,f65,f64,f63]) ).

fof(f63,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ! [X4] :
                ( apply(X0,X4) != X3
                | ~ in(X4,X1)
                | ~ in(X4,relation_dom(X0)) )
            | ~ in(X3,X2) )
          & ( ? [X5] :
                ( apply(X0,X5) = X3
                & in(X5,X1)
                & in(X5,relation_dom(X0)) )
            | in(X3,X2) ) )
     => ( ( ! [X4] :
              ( apply(X0,X4) != sK4(X0,X1,X2)
              | ~ in(X4,X1)
              | ~ in(X4,relation_dom(X0)) )
          | ~ in(sK4(X0,X1,X2),X2) )
        & ( ? [X5] :
              ( apply(X0,X5) = sK4(X0,X1,X2)
              & in(X5,X1)
              & in(X5,relation_dom(X0)) )
          | in(sK4(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f64,plain,
    ! [X0,X1,X2] :
      ( ? [X5] :
          ( apply(X0,X5) = sK4(X0,X1,X2)
          & in(X5,X1)
          & in(X5,relation_dom(X0)) )
     => ( sK4(X0,X1,X2) = apply(X0,sK5(X0,X1,X2))
        & in(sK5(X0,X1,X2),X1)
        & in(sK5(X0,X1,X2),relation_dom(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f65,plain,
    ! [X0,X1,X6] :
      ( ? [X8] :
          ( apply(X0,X8) = X6
          & in(X8,X1)
          & in(X8,relation_dom(X0)) )
     => ( apply(X0,sK6(X0,X1,X6)) = X6
        & in(sK6(X0,X1,X6),X1)
        & in(sK6(X0,X1,X6),relation_dom(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f62,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relation_image(X0,X1) = X2
            | ? [X3] :
                ( ( ! [X4] :
                      ( apply(X0,X4) != X3
                      | ~ in(X4,X1)
                      | ~ in(X4,relation_dom(X0)) )
                  | ~ in(X3,X2) )
                & ( ? [X5] :
                      ( apply(X0,X5) = X3
                      & in(X5,X1)
                      & in(X5,relation_dom(X0)) )
                  | in(X3,X2) ) ) )
          & ( ! [X6] :
                ( ( in(X6,X2)
                  | ! [X7] :
                      ( apply(X0,X7) != X6
                      | ~ in(X7,X1)
                      | ~ in(X7,relation_dom(X0)) ) )
                & ( ? [X8] :
                      ( apply(X0,X8) = X6
                      & in(X8,X1)
                      & in(X8,relation_dom(X0)) )
                  | ~ in(X6,X2) ) )
            | relation_image(X0,X1) != X2 ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(rectify,[],[f61]) ).

fof(f61,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relation_image(X0,X1) = X2
            | ? [X3] :
                ( ( ! [X4] :
                      ( apply(X0,X4) != X3
                      | ~ in(X4,X1)
                      | ~ in(X4,relation_dom(X0)) )
                  | ~ in(X3,X2) )
                & ( ? [X4] :
                      ( apply(X0,X4) = X3
                      & in(X4,X1)
                      & in(X4,relation_dom(X0)) )
                  | in(X3,X2) ) ) )
          & ( ! [X3] :
                ( ( in(X3,X2)
                  | ! [X4] :
                      ( apply(X0,X4) != X3
                      | ~ in(X4,X1)
                      | ~ in(X4,relation_dom(X0)) ) )
                & ( ? [X4] :
                      ( apply(X0,X4) = X3
                      & in(X4,X1)
                      & in(X4,relation_dom(X0)) )
                  | ~ in(X3,X2) ) )
            | relation_image(X0,X1) != X2 ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( relation_image(X0,X1) = X2
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( apply(X0,X4) = X3
                  & in(X4,X1)
                  & in(X4,relation_dom(X0)) ) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(flattening,[],[f47]) ).

fof(f47,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( relation_image(X0,X1) = X2
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( apply(X0,X4) = X3
                  & in(X4,X1)
                  & in(X4,relation_dom(X0)) ) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ! [X1,X2] :
          ( relation_image(X0,X1) = X2
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( apply(X0,X4) = X3
                  & in(X4,X1)
                  & in(X4,relation_dom(X0)) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.0GQ4lMwSS7/Vampire---4.8_14301',d12_funct_1) ).

fof(f494,plain,
    ! [X0,X1] :
      ( ~ in(sK6(sK2,X0,X1),sF14)
      | in(X1,sF16)
      | ~ in(X1,relation_image(sK2,X0)) ),
    inference(subsumption_resolution,[],[f493,f85]) ).

fof(f493,plain,
    ! [X0,X1] :
      ( in(X1,sF16)
      | ~ in(sK6(sK2,X0,X1),sF14)
      | ~ in(X1,relation_image(sK2,X0))
      | ~ relation(sK2) ),
    inference(subsumption_resolution,[],[f488,f86]) ).

fof(f488,plain,
    ! [X0,X1] :
      ( in(X1,sF16)
      | ~ in(sK6(sK2,X0,X1),sF14)
      | ~ in(X1,relation_image(sK2,X0))
      | ~ function(sK2)
      | ~ relation(sK2) ),
    inference(superposition,[],[f459,f134]) ).

fof(f134,plain,
    ! [X0,X1,X6] :
      ( apply(X0,sK6(X0,X1,X6)) = X6
      | ~ in(X6,relation_image(X0,X1))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f100]) ).

fof(f100,plain,
    ! [X2,X0,X1,X6] :
      ( apply(X0,sK6(X0,X1,X6)) = X6
      | ~ in(X6,X2)
      | relation_image(X0,X1) != X2
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f459,plain,
    ! [X0] :
      ( in(apply(sK2,X0),sF16)
      | ~ in(X0,sF14) ),
    inference(subsumption_resolution,[],[f458,f85]) ).

fof(f458,plain,
    ! [X0] :
      ( ~ in(X0,sF14)
      | in(apply(sK2,X0),sF16)
      | ~ relation(sK2) ),
    inference(subsumption_resolution,[],[f453,f86]) ).

fof(f453,plain,
    ! [X0] :
      ( ~ in(X0,sF14)
      | in(apply(sK2,X0),sF16)
      | ~ function(sK2)
      | ~ relation(sK2) ),
    inference(resolution,[],[f452,f138]) ).

fof(f138,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,relation_inverse_image(X0,X1))
      | in(apply(X0,X4),X1)
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f118]) ).

fof(f118,plain,
    ! [X2,X0,X1,X4] :
      ( in(apply(X0,X4),X1)
      | ~ in(X4,X2)
      | relation_inverse_image(X0,X1) != X2
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relation_inverse_image(X0,X1) = X2
            | ( ( ~ in(apply(X0,sK11(X0,X1,X2)),X1)
                | ~ in(sK11(X0,X1,X2),relation_dom(X0))
                | ~ in(sK11(X0,X1,X2),X2) )
              & ( ( in(apply(X0,sK11(X0,X1,X2)),X1)
                  & in(sK11(X0,X1,X2),relation_dom(X0)) )
                | in(sK11(X0,X1,X2),X2) ) ) )
          & ( ! [X4] :
                ( ( in(X4,X2)
                  | ~ in(apply(X0,X4),X1)
                  | ~ in(X4,relation_dom(X0)) )
                & ( ( in(apply(X0,X4),X1)
                    & in(X4,relation_dom(X0)) )
                  | ~ in(X4,X2) ) )
            | relation_inverse_image(X0,X1) != X2 ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f77,f78]) ).

fof(f78,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ~ in(apply(X0,X3),X1)
            | ~ in(X3,relation_dom(X0))
            | ~ in(X3,X2) )
          & ( ( in(apply(X0,X3),X1)
              & in(X3,relation_dom(X0)) )
            | in(X3,X2) ) )
     => ( ( ~ in(apply(X0,sK11(X0,X1,X2)),X1)
          | ~ in(sK11(X0,X1,X2),relation_dom(X0))
          | ~ in(sK11(X0,X1,X2),X2) )
        & ( ( in(apply(X0,sK11(X0,X1,X2)),X1)
            & in(sK11(X0,X1,X2),relation_dom(X0)) )
          | in(sK11(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f77,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relation_inverse_image(X0,X1) = X2
            | ? [X3] :
                ( ( ~ in(apply(X0,X3),X1)
                  | ~ in(X3,relation_dom(X0))
                  | ~ in(X3,X2) )
                & ( ( in(apply(X0,X3),X1)
                    & in(X3,relation_dom(X0)) )
                  | in(X3,X2) ) ) )
          & ( ! [X4] :
                ( ( in(X4,X2)
                  | ~ in(apply(X0,X4),X1)
                  | ~ in(X4,relation_dom(X0)) )
                & ( ( in(apply(X0,X4),X1)
                    & in(X4,relation_dom(X0)) )
                  | ~ in(X4,X2) ) )
            | relation_inverse_image(X0,X1) != X2 ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(rectify,[],[f76]) ).

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

fof(f75,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( relation_inverse_image(X0,X1) = X2
            | ? [X3] :
                ( ( ~ in(apply(X0,X3),X1)
                  | ~ in(X3,relation_dom(X0))
                  | ~ in(X3,X2) )
                & ( ( in(apply(X0,X3),X1)
                    & in(X3,relation_dom(X0)) )
                  | in(X3,X2) ) ) )
          & ( ! [X3] :
                ( ( in(X3,X2)
                  | ~ in(apply(X0,X3),X1)
                  | ~ in(X3,relation_dom(X0)) )
                & ( ( in(apply(X0,X3),X1)
                    & in(X3,relation_dom(X0)) )
                  | ~ in(X3,X2) ) )
            | relation_inverse_image(X0,X1) != X2 ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( relation_inverse_image(X0,X1) = X2
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ( in(apply(X0,X3),X1)
                & in(X3,relation_dom(X0)) ) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(flattening,[],[f51]) ).

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

fof(f7,axiom,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ! [X1,X2] :
          ( relation_inverse_image(X0,X1) = X2
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ( in(apply(X0,X3),X1)
                & in(X3,relation_dom(X0)) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.0GQ4lMwSS7/Vampire---4.8_14301',d13_funct_1) ).

fof(f452,plain,
    ! [X0] :
      ( in(X0,relation_inverse_image(sK2,sF16))
      | ~ in(X0,sF14) ),
    inference(resolution,[],[f445,f126]) ).

fof(f126,plain,
    ! [X3,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ in(X3,X0)
      | in(X3,X1) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f445,plain,
    subset(sF14,relation_inverse_image(sK2,sF16)),
    inference(duplicate_literal_removal,[],[f444]) ).

fof(f444,plain,
    ( subset(sF14,relation_inverse_image(sK2,sF16))
    | subset(sF14,relation_inverse_image(sK2,sF16)) ),
    inference(resolution,[],[f428,f127]) ).

fof(f428,plain,
    ! [X0] :
      ( ~ in(sK12(X0,relation_inverse_image(sK2,sF16)),sF14)
      | subset(X0,relation_inverse_image(sK2,sF16)) ),
    inference(subsumption_resolution,[],[f416,f216]) ).

fof(f216,plain,
    ! [X0] :
      ( ~ in(X0,sF14)
      | in(X0,sK0) ),
    inference(superposition,[],[f131,f141]) ).

fof(f131,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,set_intersection2(X0,X1))
      | in(X4,X0) ),
    inference(equality_resolution,[],[f91]) ).

fof(f91,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X0)
      | ~ in(X4,X2)
      | set_intersection2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1,X2] :
      ( ( set_intersection2(X0,X1) = X2
        | ( ( ~ in(sK3(X0,X1,X2),X1)
            | ~ in(sK3(X0,X1,X2),X0)
            | ~ in(sK3(X0,X1,X2),X2) )
          & ( ( in(sK3(X0,X1,X2),X1)
              & in(sK3(X0,X1,X2),X0) )
            | in(sK3(X0,X1,X2),X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ~ in(X4,X1)
              | ~ in(X4,X0) )
            & ( ( in(X4,X1)
                & in(X4,X0) )
              | ~ in(X4,X2) ) )
        | set_intersection2(X0,X1) != X2 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f58,f59]) ).

fof(f59,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ~ in(X3,X1)
            | ~ in(X3,X0)
            | ~ in(X3,X2) )
          & ( ( in(X3,X1)
              & in(X3,X0) )
            | in(X3,X2) ) )
     => ( ( ~ in(sK3(X0,X1,X2),X1)
          | ~ in(sK3(X0,X1,X2),X0)
          | ~ in(sK3(X0,X1,X2),X2) )
        & ( ( in(sK3(X0,X1,X2),X1)
            & in(sK3(X0,X1,X2),X0) )
          | in(sK3(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f58,plain,
    ! [X0,X1,X2] :
      ( ( set_intersection2(X0,X1) = X2
        | ? [X3] :
            ( ( ~ in(X3,X1)
              | ~ in(X3,X0)
              | ~ in(X3,X2) )
            & ( ( in(X3,X1)
                & in(X3,X0) )
              | in(X3,X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ~ in(X4,X1)
              | ~ in(X4,X0) )
            & ( ( in(X4,X1)
                & in(X4,X0) )
              | ~ in(X4,X2) ) )
        | set_intersection2(X0,X1) != X2 ) ),
    inference(rectify,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1,X2] :
      ( ( set_intersection2(X0,X1) = X2
        | ? [X3] :
            ( ( ~ in(X3,X1)
              | ~ in(X3,X0)
              | ~ in(X3,X2) )
            & ( ( in(X3,X1)
                & in(X3,X0) )
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ~ in(X3,X1)
              | ~ in(X3,X0) )
            & ( ( in(X3,X1)
                & in(X3,X0) )
              | ~ in(X3,X2) ) )
        | set_intersection2(X0,X1) != X2 ) ),
    inference(flattening,[],[f56]) ).

fof(f56,plain,
    ! [X0,X1,X2] :
      ( ( set_intersection2(X0,X1) = X2
        | ? [X3] :
            ( ( ~ in(X3,X1)
              | ~ in(X3,X0)
              | ~ in(X3,X2) )
            & ( ( in(X3,X1)
                & in(X3,X0) )
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ~ in(X3,X1)
              | ~ in(X3,X0) )
            & ( ( in(X3,X1)
                & in(X3,X0) )
              | ~ in(X3,X2) ) )
        | set_intersection2(X0,X1) != X2 ) ),
    inference(nnf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1,X2] :
      ( set_intersection2(X0,X1) = X2
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X1)
            & in(X3,X0) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.0GQ4lMwSS7/Vampire---4.8_14301',d3_xboole_0) ).

fof(f416,plain,
    ! [X0] :
      ( ~ in(sK12(X0,relation_inverse_image(sK2,sF16)),sK0)
      | subset(X0,relation_inverse_image(sK2,sF16))
      | ~ in(sK12(X0,relation_inverse_image(sK2,sF16)),sF14) ),
    inference(resolution,[],[f349,f253]) ).

fof(f253,plain,
    ! [X0] :
      ( in(X0,relation_dom(sK2))
      | ~ in(X0,sF14) ),
    inference(resolution,[],[f247,f126]) ).

fof(f247,plain,
    subset(sF14,relation_dom(sK2)),
    inference(duplicate_literal_removal,[],[f244]) ).

fof(f244,plain,
    ( subset(sF14,relation_dom(sK2))
    | subset(sF14,relation_dom(sK2)) ),
    inference(resolution,[],[f243,f219]) ).

fof(f219,plain,
    ! [X0] :
      ( in(sK12(sF14,X0),sF13)
      | subset(sF14,X0) ),
    inference(resolution,[],[f207,f127]) ).

fof(f207,plain,
    ! [X0] :
      ( ~ in(X0,sF14)
      | in(X0,sF13) ),
    inference(superposition,[],[f130,f141]) ).

fof(f130,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,set_intersection2(X0,X1))
      | in(X4,X1) ),
    inference(equality_resolution,[],[f92]) ).

fof(f92,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X1)
      | ~ in(X4,X2)
      | set_intersection2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f243,plain,
    ! [X0] :
      ( ~ in(sK12(X0,relation_dom(sK2)),sF13)
      | subset(X0,relation_dom(sK2)) ),
    inference(resolution,[],[f242,f128]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( ~ in(sK12(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f242,plain,
    ! [X0] :
      ( in(X0,relation_dom(sK2))
      | ~ in(X0,sF13) ),
    inference(subsumption_resolution,[],[f241,f85]) ).

fof(f241,plain,
    ! [X0] :
      ( ~ in(X0,sF13)
      | in(X0,relation_dom(sK2))
      | ~ relation(sK2) ),
    inference(subsumption_resolution,[],[f240,f86]) ).

fof(f240,plain,
    ! [X0] :
      ( ~ in(X0,sF13)
      | in(X0,relation_dom(sK2))
      | ~ function(sK2)
      | ~ relation(sK2) ),
    inference(superposition,[],[f139,f140]) ).

fof(f139,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,relation_inverse_image(X0,X1))
      | in(X4,relation_dom(X0))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f117]) ).

fof(f117,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,relation_dom(X0))
      | ~ in(X4,X2)
      | relation_inverse_image(X0,X1) != X2
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f349,plain,
    ! [X0] :
      ( ~ in(sK12(X0,relation_inverse_image(sK2,sF16)),relation_dom(sK2))
      | ~ in(sK12(X0,relation_inverse_image(sK2,sF16)),sK0)
      | subset(X0,relation_inverse_image(sK2,sF16)) ),
    inference(resolution,[],[f340,f128]) ).

fof(f340,plain,
    ! [X0] :
      ( in(X0,relation_inverse_image(sK2,sF16))
      | ~ in(X0,relation_dom(sK2))
      | ~ in(X0,sK0) ),
    inference(subsumption_resolution,[],[f339,f85]) ).

fof(f339,plain,
    ! [X0] :
      ( in(X0,relation_inverse_image(sK2,sF16))
      | ~ in(X0,relation_dom(sK2))
      | ~ relation(sK2)
      | ~ in(X0,sK0) ),
    inference(subsumption_resolution,[],[f330,f86]) ).

fof(f330,plain,
    ! [X0] :
      ( in(X0,relation_inverse_image(sK2,sF16))
      | ~ in(X0,relation_dom(sK2))
      | ~ function(sK2)
      | ~ relation(sK2)
      | ~ in(X0,sK0) ),
    inference(duplicate_literal_removal,[],[f324]) ).

fof(f324,plain,
    ! [X0] :
      ( in(X0,relation_inverse_image(sK2,sF16))
      | ~ in(X0,relation_dom(sK2))
      | ~ function(sK2)
      | ~ relation(sK2)
      | ~ in(X0,sK0)
      | ~ in(X0,relation_dom(sK2)) ),
    inference(resolution,[],[f137,f314]) ).

fof(f314,plain,
    ! [X0] :
      ( in(apply(sK2,X0),sF16)
      | ~ in(X0,sK0)
      | ~ in(X0,relation_dom(sK2)) ),
    inference(subsumption_resolution,[],[f313,f85]) ).

fof(f313,plain,
    ! [X0] :
      ( in(apply(sK2,X0),sF16)
      | ~ in(X0,sK0)
      | ~ in(X0,relation_dom(sK2))
      | ~ relation(sK2) ),
    inference(subsumption_resolution,[],[f307,f86]) ).

fof(f307,plain,
    ! [X0] :
      ( in(apply(sK2,X0),sF16)
      | ~ in(X0,sK0)
      | ~ in(X0,relation_dom(sK2))
      | ~ function(sK2)
      | ~ relation(sK2) ),
    inference(superposition,[],[f133,f143]) ).

fof(f133,plain,
    ! [X0,X1,X7] :
      ( in(apply(X0,X7),relation_image(X0,X1))
      | ~ in(X7,X1)
      | ~ in(X7,relation_dom(X0))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f132]) ).

fof(f132,plain,
    ! [X2,X0,X1,X7] :
      ( in(apply(X0,X7),X2)
      | ~ in(X7,X1)
      | ~ in(X7,relation_dom(X0))
      | relation_image(X0,X1) != X2
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f101]) ).

fof(f101,plain,
    ! [X2,X0,X1,X6,X7] :
      ( in(X6,X2)
      | apply(X0,X7) != X6
      | ~ in(X7,X1)
      | ~ in(X7,relation_dom(X0))
      | relation_image(X0,X1) != X2
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f137,plain,
    ! [X0,X1,X4] :
      ( ~ in(apply(X0,X4),X1)
      | in(X4,relation_inverse_image(X0,X1))
      | ~ in(X4,relation_dom(X0))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f119]) ).

fof(f119,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X2)
      | ~ in(apply(X0,X4),X1)
      | ~ in(X4,relation_dom(X0))
      | relation_inverse_image(X0,X1) != X2
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f1231,plain,
    ! [X0] :
      ( ~ in(sK12(sF15,set_intersection2(X0,sK1)),X0)
      | subset(sF15,set_intersection2(X0,sK1)) ),
    inference(duplicate_literal_removal,[],[f1230]) ).

fof(f1230,plain,
    ! [X0] :
      ( subset(sF15,set_intersection2(X0,sK1))
      | ~ in(sK12(sF15,set_intersection2(X0,sK1)),X0)
      | subset(sF15,set_intersection2(X0,sK1)) ),
    inference(resolution,[],[f1176,f224]) ).

fof(f224,plain,
    ! [X2,X0,X1] :
      ( ~ in(sK12(X0,set_intersection2(X1,X2)),X2)
      | ~ in(sK12(X0,set_intersection2(X1,X2)),X1)
      | subset(X0,set_intersection2(X1,X2)) ),
    inference(resolution,[],[f129,f128]) ).

fof(f129,plain,
    ! [X0,X1,X4] :
      ( in(X4,set_intersection2(X0,X1))
      | ~ in(X4,X1)
      | ~ in(X4,X0) ),
    inference(equality_resolution,[],[f93]) ).

fof(f93,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X2)
      | ~ in(X4,X1)
      | ~ in(X4,X0)
      | set_intersection2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f1176,plain,
    ! [X0] :
      ( in(sK12(sF15,X0),sK1)
      | subset(sF15,X0) ),
    inference(resolution,[],[f1160,f127]) ).

fof(f1160,plain,
    ! [X0] :
      ( ~ in(X0,sF15)
      | in(X0,sK1) ),
    inference(forward_demodulation,[],[f1156,f142]) ).

fof(f1156,plain,
    ! [X0] :
      ( ~ in(X0,relation_image(sK2,sF14))
      | in(X0,sK1) ),
    inference(superposition,[],[f865,f141]) ).

fof(f865,plain,
    ! [X0,X1] :
      ( ~ in(X0,relation_image(sK2,set_intersection2(X1,sF13)))
      | in(X0,sK1) ),
    inference(subsumption_resolution,[],[f864,f85]) ).

fof(f864,plain,
    ! [X0,X1] :
      ( ~ relation(sK2)
      | ~ in(X0,relation_image(sK2,set_intersection2(X1,sF13)))
      | in(X0,sK1) ),
    inference(subsumption_resolution,[],[f863,f86]) ).

fof(f863,plain,
    ! [X0,X1] :
      ( ~ function(sK2)
      | ~ relation(sK2)
      | ~ in(X0,relation_image(sK2,set_intersection2(X1,sF13)))
      | in(X0,sK1) ),
    inference(duplicate_literal_removal,[],[f835]) ).

fof(f835,plain,
    ! [X0,X1] :
      ( ~ function(sK2)
      | ~ relation(sK2)
      | ~ in(X0,relation_image(sK2,set_intersection2(X1,sF13)))
      | in(X0,sK1)
      | ~ in(X0,relation_image(sK2,set_intersection2(X1,sF13))) ),
    inference(resolution,[],[f255,f295]) ).

fof(f295,plain,
    ! [X0,X1] :
      ( ~ in(sK6(sK2,X0,X1),sF13)
      | in(X1,sK1)
      | ~ in(X1,relation_image(sK2,X0)) ),
    inference(subsumption_resolution,[],[f294,f85]) ).

fof(f294,plain,
    ! [X0,X1] :
      ( in(X1,sK1)
      | ~ in(sK6(sK2,X0,X1),sF13)
      | ~ in(X1,relation_image(sK2,X0))
      | ~ relation(sK2) ),
    inference(subsumption_resolution,[],[f293,f86]) ).

fof(f293,plain,
    ! [X0,X1] :
      ( in(X1,sK1)
      | ~ in(sK6(sK2,X0,X1),sF13)
      | ~ in(X1,relation_image(sK2,X0))
      | ~ function(sK2)
      | ~ relation(sK2) ),
    inference(superposition,[],[f251,f134]) ).

fof(f251,plain,
    ! [X0] :
      ( in(apply(sK2,X0),sK1)
      | ~ in(X0,sF13) ),
    inference(subsumption_resolution,[],[f250,f85]) ).

fof(f250,plain,
    ! [X0] :
      ( ~ in(X0,sF13)
      | in(apply(sK2,X0),sK1)
      | ~ relation(sK2) ),
    inference(subsumption_resolution,[],[f249,f86]) ).

fof(f249,plain,
    ! [X0] :
      ( ~ in(X0,sF13)
      | in(apply(sK2,X0),sK1)
      | ~ function(sK2)
      | ~ relation(sK2) ),
    inference(superposition,[],[f138,f140]) ).

fof(f255,plain,
    ! [X2,X3,X0,X1] :
      ( in(sK6(X1,set_intersection2(X2,X3),X0),X3)
      | ~ function(X1)
      | ~ relation(X1)
      | ~ in(X0,relation_image(X1,set_intersection2(X2,X3))) ),
    inference(resolution,[],[f135,f130]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU068+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n023.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 11:08:08 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.0GQ4lMwSS7/Vampire---4.8_14301
% 0.55/0.75  % (14415)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.55/0.75  % (14409)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.75  % (14410)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.55/0.75  % (14412)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.75  % (14411)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75  % (14413)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.75  % (14414)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.75  % (14414)Refutation not found, incomplete strategy% (14414)------------------------------
% 0.55/0.75  % (14414)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (14414)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (14414)Memory used [KB]: 1109
% 0.55/0.75  % (14414)Time elapsed: 0.004 s
% 0.55/0.75  % (14414)Instructions burned: 4 (million)
% 0.55/0.75  % (14414)------------------------------
% 0.55/0.75  % (14414)------------------------------
% 0.55/0.76  % (14416)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.59/0.77  % (14412)Instruction limit reached!
% 0.59/0.77  % (14412)------------------------------
% 0.59/0.77  % (14412)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (14412)Termination reason: Unknown
% 0.59/0.77  % (14412)Termination phase: Saturation
% 0.59/0.77  
% 0.59/0.77  % (14412)Memory used [KB]: 1538
% 0.59/0.77  % (14412)Time elapsed: 0.019 s
% 0.59/0.77  % (14412)Instructions burned: 34 (million)
% 0.59/0.77  % (14412)------------------------------
% 0.59/0.77  % (14412)------------------------------
% 0.59/0.77  % (14409)Instruction limit reached!
% 0.59/0.77  % (14409)------------------------------
% 0.59/0.77  % (14409)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (14409)Termination reason: Unknown
% 0.59/0.77  % (14409)Termination phase: Saturation
% 0.59/0.77  
% 0.59/0.77  % (14409)Memory used [KB]: 1375
% 0.59/0.77  % (14409)Time elapsed: 0.022 s
% 0.59/0.77  % (14409)Instructions burned: 34 (million)
% 0.59/0.77  % (14409)------------------------------
% 0.59/0.77  % (14409)------------------------------
% 0.59/0.77  % (14413)Instruction limit reached!
% 0.59/0.77  % (14413)------------------------------
% 0.59/0.77  % (14413)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (14413)Termination reason: Unknown
% 0.59/0.77  % (14413)Termination phase: Saturation
% 0.59/0.77  
% 0.59/0.77  % (14413)Memory used [KB]: 1535
% 0.59/0.77  % (14413)Time elapsed: 0.022 s
% 0.59/0.77  % (14413)Instructions burned: 35 (million)
% 0.59/0.77  % (14413)------------------------------
% 0.59/0.77  % (14413)------------------------------
% 0.59/0.77  % (14418)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.59/0.77  % (14415)Instruction limit reached!
% 0.59/0.77  % (14415)------------------------------
% 0.59/0.77  % (14415)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (14415)Termination reason: Unknown
% 0.59/0.77  % (14415)Termination phase: Saturation
% 0.59/0.77  
% 0.59/0.77  % (14415)Memory used [KB]: 1981
% 0.59/0.77  % (14415)Time elapsed: 0.025 s
% 0.59/0.77  % (14415)Instructions burned: 85 (million)
% 0.59/0.77  % (14415)------------------------------
% 0.59/0.77  % (14415)------------------------------
% 0.59/0.77  % (14419)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.59/0.77  % (14420)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.59/0.77  % (14421)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.59/0.78  % (14421)Refutation not found, incomplete strategy% (14421)------------------------------
% 0.59/0.78  % (14421)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (14421)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78  
% 0.59/0.78  % (14421)Memory used [KB]: 1116
% 0.59/0.78  % (14421)Time elapsed: 0.003 s
% 0.59/0.78  % (14421)Instructions burned: 5 (million)
% 0.59/0.78  % (14421)------------------------------
% 0.59/0.78  % (14421)------------------------------
% 0.59/0.78  % (14417)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.59/0.78  % (14410)Instruction limit reached!
% 0.59/0.78  % (14410)------------------------------
% 0.59/0.78  % (14410)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (14410)Termination reason: Unknown
% 0.59/0.78  % (14410)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (14410)Memory used [KB]: 1543
% 0.59/0.78  % (14410)Time elapsed: 0.030 s
% 0.59/0.78  % (14410)Instructions burned: 52 (million)
% 0.59/0.78  % (14410)------------------------------
% 0.59/0.78  % (14410)------------------------------
% 0.59/0.78  % (14422)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.59/0.78  % (14416)Instruction limit reached!
% 0.59/0.78  % (14416)------------------------------
% 0.59/0.78  % (14416)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (14416)Termination reason: Unknown
% 0.59/0.79  % (14416)Termination phase: Saturation
% 0.59/0.79  
% 0.59/0.79  % (14416)Memory used [KB]: 1506
% 0.59/0.79  % (14416)Time elapsed: 0.032 s
% 0.59/0.79  % (14416)Instructions burned: 57 (million)
% 0.59/0.79  % (14416)------------------------------
% 0.59/0.79  % (14416)------------------------------
% 0.59/0.79  % (14424)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.59/0.79  % (14411)Instruction limit reached!
% 0.59/0.79  % (14411)------------------------------
% 0.59/0.79  % (14411)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (14411)Termination reason: Unknown
% 0.59/0.79  % (14411)Termination phase: Saturation
% 0.59/0.79  
% 0.59/0.79  % (14411)Memory used [KB]: 1719
% 0.59/0.79  % (14411)Time elapsed: 0.047 s
% 0.59/0.79  % (14411)Instructions burned: 78 (million)
% 0.59/0.79  % (14411)------------------------------
% 0.59/0.79  % (14411)------------------------------
% 0.59/0.79  % (14422)Instruction limit reached!
% 0.59/0.79  % (14422)------------------------------
% 0.59/0.79  % (14422)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (14422)Termination reason: Unknown
% 0.59/0.79  % (14422)Termination phase: Saturation
% 0.59/0.79  
% 0.59/0.79  % (14422)Memory used [KB]: 1458
% 0.59/0.79  % (14422)Time elapsed: 0.036 s
% 0.59/0.79  % (14422)Instructions burned: 43 (million)
% 0.59/0.79  % (14422)------------------------------
% 0.59/0.79  % (14422)------------------------------
% 0.59/0.80  % (14423)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.59/0.80  % (14420)Instruction limit reached!
% 0.59/0.80  % (14420)------------------------------
% 0.59/0.80  % (14420)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (14420)Termination reason: Unknown
% 0.59/0.80  % (14420)Termination phase: Saturation
% 0.59/0.80  
% 0.59/0.80  % (14420)Memory used [KB]: 1230
% 0.59/0.80  % (14420)Time elapsed: 0.026 s
% 0.59/0.80  % (14420)Instructions burned: 53 (million)
% 0.59/0.80  % (14420)------------------------------
% 0.59/0.80  % (14420)------------------------------
% 0.59/0.80  % (14425)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.59/0.80  % (14418)Instruction limit reached!
% 0.59/0.80  % (14418)------------------------------
% 0.59/0.80  % (14418)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80  % (14418)Termination reason: Unknown
% 0.59/0.80  % (14418)Termination phase: Saturation
% 0.59/0.80  
% 0.59/0.80  % (14418)Memory used [KB]: 1711
% 0.59/0.80  % (14418)Time elapsed: 0.030 s
% 0.59/0.80  % (14418)Instructions burned: 50 (million)
% 0.59/0.80  % (14418)------------------------------
% 0.59/0.80  % (14418)------------------------------
% 0.59/0.80  % (14427)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.59/0.80  % (14426)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.59/0.81  % (14417)Instruction limit reached!
% 0.59/0.81  % (14417)------------------------------
% 0.59/0.81  % (14417)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81  % (14417)Termination reason: Unknown
% 0.59/0.81  % (14417)Termination phase: Saturation
% 0.59/0.81  
% 0.59/0.81  % (14417)Memory used [KB]: 1762
% 0.59/0.81  % (14417)Time elapsed: 0.061 s
% 0.59/0.81  % (14417)Instructions burned: 56 (million)
% 0.59/0.81  % (14417)------------------------------
% 0.59/0.81  % (14417)------------------------------
% 0.59/0.81  % (14429)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.59/0.82  % (14428)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.59/0.84  % (14427)Instruction limit reached!
% 0.59/0.84  % (14427)------------------------------
% 0.59/0.84  % (14427)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.84  % (14427)Termination reason: Unknown
% 0.59/0.84  % (14427)Termination phase: Saturation
% 0.59/0.84  
% 0.59/0.84  % (14427)Memory used [KB]: 2061
% 0.59/0.84  % (14427)Time elapsed: 0.063 s
% 0.59/0.84  % (14427)Instructions burned: 62 (million)
% 0.59/0.84  % (14427)------------------------------
% 0.59/0.84  % (14427)------------------------------
% 0.59/0.84  % (14428)Instruction limit reached!
% 0.59/0.84  % (14428)------------------------------
% 0.59/0.84  % (14428)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.84  % (14428)Termination reason: Unknown
% 0.59/0.84  % (14428)Termination phase: Saturation
% 0.59/0.84  
% 0.59/0.84  % (14428)Memory used [KB]: 1303
% 0.59/0.84  % (14428)Time elapsed: 0.042 s
% 0.59/0.84  % (14428)Instructions burned: 32 (million)
% 0.59/0.84  % (14428)------------------------------
% 0.59/0.84  % (14428)------------------------------
% 0.59/0.84  % (14419)First to succeed.
% 0.59/0.84  % (14431)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2995ds/55Mi)
% 0.59/0.84  % (14419)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14408"
% 0.59/0.84  % (14419)Refutation found. Thanks to Tanya!
% 0.59/0.84  % SZS status Theorem for Vampire---4
% 0.59/0.84  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.85  % (14419)------------------------------
% 0.59/0.85  % (14419)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.85  % (14419)Termination reason: Refutation
% 0.59/0.85  
% 0.59/0.85  % (14419)Memory used [KB]: 1877
% 0.59/0.85  % (14419)Time elapsed: 0.073 s
% 0.59/0.85  % (14419)Instructions burned: 125 (million)
% 0.59/0.85  % (14408)Success in time 0.474 s
% 0.59/0.85  % Vampire---4.8 exiting
%------------------------------------------------------------------------------