TSTP Solution File: SEU290+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU290+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_sat --cores 0 -t %d %s

% Computer : n020.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 18:33:02 EDT 2022

% Result   : Theorem 0.15s 0.52s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   76 (  17 unt;   0 def)
%            Number of atoms       :  311 ( 101 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  352 ( 117   ~; 115   |;  79   &)
%                                         (  17 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   3 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;   7 con; 0-3 aty)
%            Number of variables   :  158 ( 128   !;  30   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f469,plain,
    $false,
    inference(avatar_sat_refutation,[],[f430,f438,f467]) ).

fof(f467,plain,
    spl26_7,
    inference(avatar_contradiction_clause,[],[f466]) ).

fof(f466,plain,
    ( $false
    | spl26_7 ),
    inference(subsumption_resolution,[],[f464,f217]) ).

fof(f217,plain,
    in(sK10,sK8),
    inference(cnf_transformation,[],[f141]) ).

fof(f141,plain,
    ( relation_of2_as_subset(sK9,sK8,sK7)
    & in(sK10,sK8)
    & function(sK9)
    & ~ in(apply(sK9,sK10),relation_rng(sK9))
    & empty_set != sK7
    & quasi_total(sK9,sK8,sK7) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10])],[f139,f140]) ).

fof(f140,plain,
    ( ? [X0,X1,X2,X3] :
        ( relation_of2_as_subset(X2,X1,X0)
        & in(X3,X1)
        & function(X2)
        & ~ in(apply(X2,X3),relation_rng(X2))
        & empty_set != X0
        & quasi_total(X2,X1,X0) )
   => ( relation_of2_as_subset(sK9,sK8,sK7)
      & in(sK10,sK8)
      & function(sK9)
      & ~ in(apply(sK9,sK10),relation_rng(sK9))
      & empty_set != sK7
      & quasi_total(sK9,sK8,sK7) ) ),
    introduced(choice_axiom,[]) ).

fof(f139,plain,
    ? [X0,X1,X2,X3] :
      ( relation_of2_as_subset(X2,X1,X0)
      & in(X3,X1)
      & function(X2)
      & ~ in(apply(X2,X3),relation_rng(X2))
      & empty_set != X0
      & quasi_total(X2,X1,X0) ),
    inference(rectify,[],[f110]) ).

fof(f110,plain,
    ? [X3,X2,X1,X0] :
      ( relation_of2_as_subset(X1,X2,X3)
      & in(X0,X2)
      & function(X1)
      & ~ in(apply(X1,X0),relation_rng(X1))
      & empty_set != X3
      & quasi_total(X1,X2,X3) ),
    inference(flattening,[],[f109]) ).

fof(f109,plain,
    ? [X3,X0,X2,X1] :
      ( ~ in(apply(X1,X0),relation_rng(X1))
      & empty_set != X3
      & in(X0,X2)
      & quasi_total(X1,X2,X3)
      & relation_of2_as_subset(X1,X2,X3)
      & function(X1) ),
    inference(ennf_transformation,[],[f63]) ).

fof(f63,plain,
    ~ ! [X3,X0,X2,X1] :
        ( ( quasi_total(X1,X2,X3)
          & relation_of2_as_subset(X1,X2,X3)
          & function(X1) )
       => ( in(X0,X2)
         => ( in(apply(X1,X0),relation_rng(X1))
            | empty_set = X3 ) ) ),
    inference(rectify,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ! [X2,X3,X0,X1] :
        ( ( quasi_total(X3,X0,X1)
          & function(X3)
          & relation_of2_as_subset(X3,X0,X1) )
       => ( in(X2,X0)
         => ( empty_set = X1
            | in(apply(X3,X2),relation_rng(X3)) ) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ! [X2,X3,X0,X1] :
      ( ( quasi_total(X3,X0,X1)
        & function(X3)
        & relation_of2_as_subset(X3,X0,X1) )
     => ( in(X2,X0)
       => ( empty_set = X1
          | in(apply(X3,X2),relation_rng(X3)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_funct_2) ).

fof(f464,plain,
    ( ~ in(sK10,sK8)
    | spl26_7 ),
    inference(backward_demodulation,[],[f437,f463]) ).

fof(f463,plain,
    relation_dom(sK9) = sK8,
    inference(backward_demodulation,[],[f400,f462]) ).

fof(f462,plain,
    relation_dom_as_subset(sK8,sK7,sK9) = sK8,
    inference(subsumption_resolution,[],[f461,f214]) ).

fof(f214,plain,
    empty_set != sK7,
    inference(cnf_transformation,[],[f141]) ).

fof(f461,plain,
    ( relation_dom_as_subset(sK8,sK7,sK9) = sK8
    | empty_set = sK7 ),
    inference(subsumption_resolution,[],[f459,f218]) ).

fof(f218,plain,
    relation_of2_as_subset(sK9,sK8,sK7),
    inference(cnf_transformation,[],[f141]) ).

fof(f459,plain,
    ( ~ relation_of2_as_subset(sK9,sK8,sK7)
    | empty_set = sK7
    | relation_dom_as_subset(sK8,sK7,sK9) = sK8 ),
    inference(resolution,[],[f188,f213]) ).

fof(f213,plain,
    quasi_total(sK9,sK8,sK7),
    inference(cnf_transformation,[],[f141]) ).

fof(f188,plain,
    ! [X2,X0,X1] :
      ( ~ quasi_total(X0,X2,X1)
      | empty_set = X1
      | relation_dom_as_subset(X2,X1,X0) = X2
      | ~ relation_of2_as_subset(X0,X2,X1) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X0,X1,X2] :
      ( ( ( ( empty_set != X2
            & empty_set = X1 )
          | ( ( quasi_total(X0,X2,X1)
              | relation_dom_as_subset(X2,X1,X0) != X2 )
            & ( relation_dom_as_subset(X2,X1,X0) = X2
              | ~ quasi_total(X0,X2,X1) ) ) )
        & ( ( ( quasi_total(X0,X2,X1)
              | empty_set != X0 )
            & ( empty_set = X0
              | ~ quasi_total(X0,X2,X1) ) )
          | empty_set = X2
          | empty_set != X1 ) )
      | ~ relation_of2_as_subset(X0,X2,X1) ),
    inference(rectify,[],[f122]) ).

fof(f122,plain,
    ! [X1,X2,X0] :
      ( ( ( ( empty_set != X0
            & empty_set = X2 )
          | ( ( quasi_total(X1,X0,X2)
              | relation_dom_as_subset(X0,X2,X1) != X0 )
            & ( relation_dom_as_subset(X0,X2,X1) = X0
              | ~ quasi_total(X1,X0,X2) ) ) )
        & ( ( ( quasi_total(X1,X0,X2)
              | empty_set != X1 )
            & ( empty_set = X1
              | ~ quasi_total(X1,X0,X2) ) )
          | empty_set = X0
          | empty_set != X2 ) )
      | ~ relation_of2_as_subset(X1,X0,X2) ),
    inference(nnf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X1,X2,X0] :
      ( ( ( ( empty_set != X0
            & empty_set = X2 )
          | ( quasi_total(X1,X0,X2)
          <=> relation_dom_as_subset(X0,X2,X1) = X0 ) )
        & ( ( quasi_total(X1,X0,X2)
          <=> empty_set = X1 )
          | empty_set = X0
          | empty_set != X2 ) )
      | ~ relation_of2_as_subset(X1,X0,X2) ),
    inference(flattening,[],[f101]) ).

fof(f101,plain,
    ! [X2,X0,X1] :
      ( ( ( ( quasi_total(X1,X0,X2)
          <=> empty_set = X1 )
          | empty_set = X0
          | empty_set != X2 )
        & ( ( empty_set != X0
            & empty_set = X2 )
          | ( quasi_total(X1,X0,X2)
          <=> relation_dom_as_subset(X0,X2,X1) = X0 ) ) )
      | ~ relation_of2_as_subset(X1,X0,X2) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X2,X0,X1] :
      ( relation_of2_as_subset(X1,X0,X2)
     => ( ( empty_set = X2
         => ( ( quasi_total(X1,X0,X2)
            <=> empty_set = X1 )
            | empty_set = X0 ) )
        & ( ( empty_set = X2
           => empty_set = X0 )
         => ( quasi_total(X1,X0,X2)
          <=> relation_dom_as_subset(X0,X2,X1) = X0 ) ) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X2,X1] :
      ( relation_of2_as_subset(X2,X0,X1)
     => ( ( empty_set = X1
         => ( ( quasi_total(X2,X0,X1)
            <=> empty_set = X2 )
            | empty_set = X0 ) )
        & ( ( empty_set = X1
           => empty_set = X0 )
         => ( relation_dom_as_subset(X0,X1,X2) = X0
          <=> quasi_total(X2,X0,X1) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_funct_2) ).

fof(f400,plain,
    relation_dom(sK9) = relation_dom_as_subset(sK8,sK7,sK9),
    inference(resolution,[],[f208,f343]) ).

fof(f343,plain,
    relation_of2(sK9,sK8,sK7),
    inference(resolution,[],[f178,f218]) ).

fof(f178,plain,
    ! [X2,X0,X1] :
      ( ~ relation_of2_as_subset(X1,X2,X0)
      | relation_of2(X1,X2,X0) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f119,plain,
    ! [X0,X1,X2] :
      ( ( relation_of2(X1,X2,X0)
        | ~ relation_of2_as_subset(X1,X2,X0) )
      & ( relation_of2_as_subset(X1,X2,X0)
        | ~ relation_of2(X1,X2,X0) ) ),
    inference(rectify,[],[f118]) ).

fof(f118,plain,
    ! [X1,X2,X0] :
      ( ( relation_of2(X2,X0,X1)
        | ~ relation_of2_as_subset(X2,X0,X1) )
      & ( relation_of2_as_subset(X2,X0,X1)
        | ~ relation_of2(X2,X0,X1) ) ),
    inference(nnf_transformation,[],[f45]) ).

fof(f45,axiom,
    ! [X1,X2,X0] :
      ( relation_of2(X2,X0,X1)
    <=> relation_of2_as_subset(X2,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).

fof(f208,plain,
    ! [X2,X0,X1] :
      ( ~ relation_of2(X2,X0,X1)
      | relation_dom_as_subset(X0,X1,X2) = relation_dom(X2) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,plain,
    ! [X0,X1,X2] :
      ( relation_dom_as_subset(X0,X1,X2) = relation_dom(X2)
      | ~ relation_of2(X2,X0,X1) ),
    inference(rectify,[],[f84]) ).

fof(f84,plain,
    ! [X1,X2,X0] :
      ( relation_dom(X0) = relation_dom_as_subset(X1,X2,X0)
      | ~ relation_of2(X0,X1,X2) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X1,X2,X0] :
      ( relation_of2(X0,X1,X2)
     => relation_dom(X0) = relation_dom_as_subset(X1,X2,X0) ),
    inference(rectify,[],[f44]) ).

fof(f44,axiom,
    ! [X2,X0,X1] :
      ( relation_of2(X2,X0,X1)
     => relation_dom_as_subset(X0,X1,X2) = relation_dom(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).

fof(f437,plain,
    ( ~ in(sK10,relation_dom(sK9))
    | spl26_7 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f435,plain,
    ( spl26_7
  <=> in(sK10,relation_dom(sK9)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_7])]) ).

fof(f438,plain,
    ( ~ spl26_7
    | ~ spl26_3 ),
    inference(avatar_split_clause,[],[f433,f327,f435]) ).

fof(f327,plain,
    ( spl26_3
  <=> relation(sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_3])]) ).

fof(f433,plain,
    ( ~ relation(sK9)
    | ~ in(sK10,relation_dom(sK9)) ),
    inference(subsumption_resolution,[],[f432,f265]) ).

fof(f265,plain,
    ~ in(sF24,sF25),
    inference(definition_folding,[],[f215,f264,f263]) ).

fof(f263,plain,
    sF24 = apply(sK9,sK10),
    introduced(function_definition,[]) ).

fof(f264,plain,
    sF25 = relation_rng(sK9),
    introduced(function_definition,[]) ).

fof(f215,plain,
    ~ in(apply(sK9,sK10),relation_rng(sK9)),
    inference(cnf_transformation,[],[f141]) ).

fof(f432,plain,
    ( in(sF24,sF25)
    | ~ in(sK10,relation_dom(sK9))
    | ~ relation(sK9) ),
    inference(forward_demodulation,[],[f431,f264]) ).

fof(f431,plain,
    ( ~ in(sK10,relation_dom(sK9))
    | ~ relation(sK9)
    | in(sF24,relation_rng(sK9)) ),
    inference(subsumption_resolution,[],[f417,f216]) ).

fof(f216,plain,
    function(sK9),
    inference(cnf_transformation,[],[f141]) ).

fof(f417,plain,
    ( ~ function(sK9)
    | ~ relation(sK9)
    | ~ in(sK10,relation_dom(sK9))
    | in(sF24,relation_rng(sK9)) ),
    inference(superposition,[],[f260,f263]) ).

fof(f260,plain,
    ! [X0,X6] :
      ( in(apply(X0,X6),relation_rng(X0))
      | ~ relation(X0)
      | ~ in(X6,relation_dom(X0))
      | ~ function(X0) ),
    inference(equality_resolution,[],[f259]) ).

fof(f259,plain,
    ! [X0,X1,X6] :
      ( ~ function(X0)
      | ~ relation(X0)
      | in(apply(X0,X6),X1)
      | ~ in(X6,relation_dom(X0))
      | relation_rng(X0) != X1 ),
    inference(equality_resolution,[],[f241]) ).

fof(f241,plain,
    ! [X0,X1,X6,X5] :
      ( ~ function(X0)
      | ~ relation(X0)
      | in(X5,X1)
      | ~ in(X6,relation_dom(X0))
      | apply(X0,X6) != X5
      | relation_rng(X0) != X1 ),
    inference(cnf_transformation,[],[f161]) ).

fof(f161,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ! [X1] :
          ( ( relation_rng(X0) = X1
            | ( ( ! [X3] :
                    ( ~ in(X3,relation_dom(X0))
                    | apply(X0,X3) != sK17(X0,X1) )
                | ~ in(sK17(X0,X1),X1) )
              & ( ( in(sK18(X0,X1),relation_dom(X0))
                  & sK17(X0,X1) = apply(X0,sK18(X0,X1)) )
                | in(sK17(X0,X1),X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] :
                      ( ~ in(X6,relation_dom(X0))
                      | apply(X0,X6) != X5 ) )
                & ( ( in(sK19(X0,X5),relation_dom(X0))
                    & apply(X0,sK19(X0,X5)) = X5 )
                  | ~ in(X5,X1) ) )
            | relation_rng(X0) != X1 ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19])],[f157,f160,f159,f158]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ! [X3] :
                ( ~ in(X3,relation_dom(X0))
                | apply(X0,X3) != X2 )
            | ~ in(X2,X1) )
          & ( ? [X4] :
                ( in(X4,relation_dom(X0))
                & apply(X0,X4) = X2 )
            | in(X2,X1) ) )
     => ( ( ! [X3] :
              ( ~ in(X3,relation_dom(X0))
              | apply(X0,X3) != sK17(X0,X1) )
          | ~ in(sK17(X0,X1),X1) )
        & ( ? [X4] :
              ( in(X4,relation_dom(X0))
              & apply(X0,X4) = sK17(X0,X1) )
          | in(sK17(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( in(X4,relation_dom(X0))
          & apply(X0,X4) = sK17(X0,X1) )
     => ( in(sK18(X0,X1),relation_dom(X0))
        & sK17(X0,X1) = apply(X0,sK18(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f160,plain,
    ! [X0,X5] :
      ( ? [X7] :
          ( in(X7,relation_dom(X0))
          & apply(X0,X7) = X5 )
     => ( in(sK19(X0,X5),relation_dom(X0))
        & apply(X0,sK19(X0,X5)) = X5 ) ),
    introduced(choice_axiom,[]) ).

fof(f157,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ! [X1] :
          ( ( relation_rng(X0) = X1
            | ? [X2] :
                ( ( ! [X3] :
                      ( ~ in(X3,relation_dom(X0))
                      | apply(X0,X3) != X2 )
                  | ~ in(X2,X1) )
                & ( ? [X4] :
                      ( in(X4,relation_dom(X0))
                      & apply(X0,X4) = X2 )
                  | in(X2,X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] :
                      ( ~ in(X6,relation_dom(X0))
                      | apply(X0,X6) != X5 ) )
                & ( ? [X7] :
                      ( in(X7,relation_dom(X0))
                      & apply(X0,X7) = X5 )
                  | ~ in(X5,X1) ) )
            | relation_rng(X0) != X1 ) ) ),
    inference(rectify,[],[f156]) ).

fof(f156,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ! [X1] :
          ( ( relation_rng(X0) = X1
            | ? [X2] :
                ( ( ! [X3] :
                      ( ~ in(X3,relation_dom(X0))
                      | apply(X0,X3) != X2 )
                  | ~ in(X2,X1) )
                & ( ? [X3] :
                      ( in(X3,relation_dom(X0))
                      & apply(X0,X3) = X2 )
                  | in(X2,X1) ) ) )
          & ( ! [X2] :
                ( ( in(X2,X1)
                  | ! [X3] :
                      ( ~ in(X3,relation_dom(X0))
                      | apply(X0,X3) != X2 ) )
                & ( ? [X3] :
                      ( in(X3,relation_dom(X0))
                      & apply(X0,X3) = X2 )
                  | ~ in(X2,X1) ) )
            | relation_rng(X0) != X1 ) ) ),
    inference(nnf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ! [X1] :
          ( relation_rng(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] :
                  ( in(X3,relation_dom(X0))
                  & apply(X0,X3) = X2 ) ) ) ),
    inference(flattening,[],[f80]) ).

fof(f80,plain,
    ! [X0] :
      ( ! [X1] :
          ( relation_rng(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] :
                  ( in(X3,relation_dom(X0))
                  & apply(X0,X3) = X2 ) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( ( relation(X0)
        & function(X0) )
     => ! [X1] :
          ( relation_rng(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] :
                  ( in(X3,relation_dom(X0))
                  & apply(X0,X3) = X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_funct_1) ).

fof(f430,plain,
    spl26_3,
    inference(avatar_contradiction_clause,[],[f429]) ).

fof(f429,plain,
    ( $false
    | spl26_3 ),
    inference(subsumption_resolution,[],[f427,f329]) ).

fof(f329,plain,
    ( ~ relation(sK9)
    | spl26_3 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f427,plain,
    relation(sK9),
    inference(resolution,[],[f376,f218]) ).

fof(f376,plain,
    ! [X2,X0,X1] :
      ( ~ relation_of2_as_subset(X0,X1,X2)
      | relation(X0) ),
    inference(resolution,[],[f193,f247]) ).

fof(f247,plain,
    ! [X2,X0,X1] :
      ( ~ element(X0,powerset(cartesian_product2(X2,X1)))
      | relation(X0) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1,X2] :
      ( ~ element(X0,powerset(cartesian_product2(X2,X1)))
      | relation(X0) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0,X2,X1] :
      ( element(X0,powerset(cartesian_product2(X2,X1)))
     => relation(X0) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X2,X1,X0] :
      ( element(X2,powerset(cartesian_product2(X0,X1)))
     => relation(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).

fof(f193,plain,
    ! [X2,X0,X1] :
      ( element(X0,powerset(cartesian_product2(X2,X1)))
      | ~ relation_of2_as_subset(X0,X2,X1) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0,X1,X2] :
      ( element(X0,powerset(cartesian_product2(X2,X1)))
      | ~ relation_of2_as_subset(X0,X2,X1) ),
    inference(rectify,[],[f93]) ).

fof(f93,plain,
    ! [X2,X1,X0] :
      ( element(X2,powerset(cartesian_product2(X0,X1)))
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X2,X1,X0] :
      ( relation_of2_as_subset(X2,X0,X1)
     => element(X2,powerset(cartesian_product2(X0,X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : SEU290+1 : TPTP v8.1.0. Released v3.3.0.
% 0.05/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.32  % Computer : n020.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Tue Aug 30 15:07:15 EDT 2022
% 0.10/0.32  % CPUTime    : 
% 0.15/0.48  % (5473)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.48  % (5483)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.48  % (5482)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.15/0.48  % (5475)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.48  % (5474)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.48  % (5481)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.15/0.48  % (5475)Instruction limit reached!
% 0.15/0.48  % (5475)------------------------------
% 0.15/0.48  % (5475)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48  % (5475)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48  % (5475)Termination reason: Unknown
% 0.15/0.48  % (5475)Termination phase: Preprocessing 3
% 0.15/0.48  
% 0.15/0.48  % (5475)Memory used [KB]: 895
% 0.15/0.48  % (5475)Time elapsed: 0.004 s
% 0.15/0.48  % (5475)Instructions burned: 2 (million)
% 0.15/0.48  % (5475)------------------------------
% 0.15/0.48  % (5475)------------------------------
% 0.15/0.49  % (5491)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.15/0.49  TRYING [1]
% 0.15/0.49  % (5474)Instruction limit reached!
% 0.15/0.49  % (5474)------------------------------
% 0.15/0.49  % (5474)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49  % (5490)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.15/0.49  % (5489)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.15/0.49  TRYING [2]
% 0.15/0.50  TRYING [3]
% 0.15/0.50  % (5474)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50  % (5474)Termination reason: Unknown
% 0.15/0.50  % (5474)Termination phase: Saturation
% 0.15/0.50  
% 0.15/0.50  % (5474)Memory used [KB]: 5628
% 0.15/0.50  % (5474)Time elapsed: 0.103 s
% 0.15/0.50  % (5474)Instructions burned: 7 (million)
% 0.15/0.50  % (5474)------------------------------
% 0.15/0.50  % (5474)------------------------------
% 0.15/0.51  % (5491)First to succeed.
% 0.15/0.51  % (5478)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.52  % (5491)Refutation found. Thanks to Tanya!
% 0.15/0.52  % SZS status Theorem for theBenchmark
% 0.15/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.52  % (5491)------------------------------
% 0.15/0.52  % (5491)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.52  % (5491)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.52  % (5491)Termination reason: Refutation
% 0.15/0.52  
% 0.15/0.52  % (5491)Memory used [KB]: 5628
% 0.15/0.52  % (5491)Time elapsed: 0.126 s
% 0.15/0.52  % (5491)Instructions burned: 11 (million)
% 0.15/0.52  % (5491)------------------------------
% 0.15/0.52  % (5491)------------------------------
% 0.15/0.52  % (5466)Success in time 0.188 s
%------------------------------------------------------------------------------