TSTP Solution File: SEU053+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU053+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n002.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 18:31:50 EDT 2022

% Result   : Theorem 7.17s 1.25s
% Output   : Refutation 7.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   17
% Syntax   : Number of formulae    :  104 (  17 unt;   0 def)
%            Number of atoms       :  339 (  79 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  379 ( 144   ~; 148   |;  53   &)
%                                         (  13 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   13 (  11 usr;   5 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :  133 ( 121   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4594,plain,
    $false,
    inference(avatar_sat_refutation,[],[f227,f231,f2685,f4581,f4593]) ).

fof(f4593,plain,
    ~ spl15_25,
    inference(avatar_contradiction_clause,[],[f4592]) ).

fof(f4592,plain,
    ( $false
    | ~ spl15_25 ),
    inference(subsumption_resolution,[],[f4591,f170]) ).

fof(f170,plain,
    function(sK5),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ( ~ one_to_one(sK5)
    & ! [X1,X2] : relation_image(sK5,set_intersection2(X1,X2)) = set_intersection2(relation_image(sK5,X1),relation_image(sK5,X2))
    & relation(sK5)
    & function(sK5) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f115,f116]) ).

fof(f116,plain,
    ( ? [X0] :
        ( ~ one_to_one(X0)
        & ! [X1,X2] : relation_image(X0,set_intersection2(X1,X2)) = set_intersection2(relation_image(X0,X1),relation_image(X0,X2))
        & relation(X0)
        & function(X0) )
   => ( ~ one_to_one(sK5)
      & ! [X2,X1] : relation_image(sK5,set_intersection2(X1,X2)) = set_intersection2(relation_image(sK5,X1),relation_image(sK5,X2))
      & relation(sK5)
      & function(sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f115,plain,
    ? [X0] :
      ( ~ one_to_one(X0)
      & ! [X1,X2] : relation_image(X0,set_intersection2(X1,X2)) = set_intersection2(relation_image(X0,X1),relation_image(X0,X2))
      & relation(X0)
      & function(X0) ),
    inference(rectify,[],[f81]) ).

fof(f81,plain,
    ? [X0] :
      ( ~ one_to_one(X0)
      & ! [X2,X1] : set_intersection2(relation_image(X0,X2),relation_image(X0,X1)) = relation_image(X0,set_intersection2(X2,X1))
      & relation(X0)
      & function(X0) ),
    inference(flattening,[],[f80]) ).

fof(f80,plain,
    ? [X0] :
      ( ~ one_to_one(X0)
      & ! [X2,X1] : set_intersection2(relation_image(X0,X2),relation_image(X0,X1)) = relation_image(X0,set_intersection2(X2,X1))
      & relation(X0)
      & function(X0) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f48,plain,
    ~ ! [X0] :
        ( ( relation(X0)
          & function(X0) )
       => ( ! [X2,X1] : set_intersection2(relation_image(X0,X2),relation_image(X0,X1)) = relation_image(X0,set_intersection2(X2,X1))
         => one_to_one(X0) ) ),
    inference(rectify,[],[f36]) ).

fof(f36,negated_conjecture,
    ~ ! [X0] :
        ( ( relation(X0)
          & function(X0) )
       => ( ! [X2,X1] : relation_image(X0,set_intersection2(X1,X2)) = set_intersection2(relation_image(X0,X1),relation_image(X0,X2))
         => one_to_one(X0) ) ),
    inference(negated_conjecture,[],[f35]) ).

fof(f35,conjecture,
    ! [X0] :
      ( ( relation(X0)
        & function(X0) )
     => ( ! [X2,X1] : relation_image(X0,set_intersection2(X1,X2)) = set_intersection2(relation_image(X0,X1),relation_image(X0,X2))
       => one_to_one(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t122_funct_1) ).

fof(f4591,plain,
    ( ~ function(sK5)
    | ~ spl15_25 ),
    inference(subsumption_resolution,[],[f4590,f173]) ).

fof(f173,plain,
    ~ one_to_one(sK5),
    inference(cnf_transformation,[],[f117]) ).

fof(f4590,plain,
    ( one_to_one(sK5)
    | ~ function(sK5)
    | ~ spl15_25 ),
    inference(subsumption_resolution,[],[f4589,f171]) ).

fof(f171,plain,
    relation(sK5),
    inference(cnf_transformation,[],[f117]) ).

fof(f4589,plain,
    ( ~ relation(sK5)
    | ~ function(sK5)
    | one_to_one(sK5)
    | ~ spl15_25 ),
    inference(trivial_inequality_removal,[],[f4587]) ).

fof(f4587,plain,
    ( ~ relation(sK5)
    | ~ function(sK5)
    | one_to_one(sK5)
    | sK11(sK5) != sK11(sK5)
    | ~ spl15_25 ),
    inference(superposition,[],[f205,f2625]) ).

fof(f2625,plain,
    ( sK12(sK5) = sK11(sK5)
    | ~ spl15_25 ),
    inference(avatar_component_clause,[],[f2623]) ).

fof(f2623,plain,
    ( spl15_25
  <=> sK12(sK5) = sK11(sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_25])]) ).

fof(f205,plain,
    ! [X0] :
      ( sK12(X0) != sK11(X0)
      | ~ relation(X0)
      | one_to_one(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f138,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ( ( one_to_one(X0)
          | ( apply(X0,sK11(X0)) = apply(X0,sK12(X0))
            & sK12(X0) != sK11(X0)
            & in(sK12(X0),relation_dom(X0))
            & in(sK11(X0),relation_dom(X0)) ) )
        & ( ! [X3,X4] :
              ( apply(X0,X4) != apply(X0,X3)
              | X3 = X4
              | ~ in(X4,relation_dom(X0))
              | ~ in(X3,relation_dom(X0)) )
          | ~ one_to_one(X0) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f136,f137]) ).

fof(f137,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( apply(X0,X1) = apply(X0,X2)
          & X1 != X2
          & in(X2,relation_dom(X0))
          & in(X1,relation_dom(X0)) )
     => ( apply(X0,sK11(X0)) = apply(X0,sK12(X0))
        & sK12(X0) != sK11(X0)
        & in(sK12(X0),relation_dom(X0))
        & in(sK11(X0),relation_dom(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f136,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ( ( one_to_one(X0)
          | ? [X1,X2] :
              ( apply(X0,X1) = apply(X0,X2)
              & X1 != X2
              & in(X2,relation_dom(X0))
              & in(X1,relation_dom(X0)) ) )
        & ( ! [X3,X4] :
              ( apply(X0,X4) != apply(X0,X3)
              | X3 = X4
              | ~ in(X4,relation_dom(X0))
              | ~ in(X3,relation_dom(X0)) )
          | ~ one_to_one(X0) ) ) ),
    inference(rectify,[],[f135]) ).

fof(f135,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ( ( one_to_one(X0)
          | ? [X1,X2] :
              ( apply(X0,X1) = apply(X0,X2)
              & X1 != X2
              & in(X2,relation_dom(X0))
              & in(X1,relation_dom(X0)) ) )
        & ( ! [X1,X2] :
              ( apply(X0,X1) != apply(X0,X2)
              | X1 = X2
              | ~ in(X2,relation_dom(X0))
              | ~ in(X1,relation_dom(X0)) )
          | ~ one_to_one(X0) ) ) ),
    inference(nnf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X0] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ( one_to_one(X0)
      <=> ! [X1,X2] :
            ( apply(X0,X1) != apply(X0,X2)
            | X1 = X2
            | ~ in(X2,relation_dom(X0))
            | ~ in(X1,relation_dom(X0)) ) ) ),
    inference(flattening,[],[f70]) ).

fof(f70,plain,
    ! [X0] :
      ( ( ! [X2,X1] :
            ( X1 = X2
            | ~ in(X2,relation_dom(X0))
            | apply(X0,X1) != apply(X0,X2)
            | ~ in(X1,relation_dom(X0)) )
      <=> one_to_one(X0) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0] :
      ( ( relation(X0)
        & function(X0) )
     => ( ! [X2,X1] :
            ( ( in(X2,relation_dom(X0))
              & apply(X0,X1) = apply(X0,X2)
              & in(X1,relation_dom(X0)) )
           => X1 = X2 )
      <=> one_to_one(X0) ) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( ( relation(X0)
        & function(X0) )
     => ( one_to_one(X0)
      <=> ! [X2,X1] :
            ( ( apply(X0,X1) = apply(X0,X2)
              & in(X1,relation_dom(X0))
              & in(X2,relation_dom(X0)) )
           => X1 = X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funct_1) ).

fof(f4581,plain,
    ( ~ spl15_1
    | ~ spl15_24 ),
    inference(avatar_contradiction_clause,[],[f4580]) ).

fof(f4580,plain,
    ( $false
    | ~ spl15_1
    | ~ spl15_24 ),
    inference(subsumption_resolution,[],[f4575,f190]) ).

fof(f190,plain,
    ! [X0] : ~ empty(singleton(X0)),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0] : ~ empty(singleton(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_subset_1) ).

fof(f4575,plain,
    ( empty(singleton(apply(sK5,sK11(sK5))))
    | ~ spl15_1
    | ~ spl15_24 ),
    inference(resolution,[],[f2794,f223]) ).

fof(f223,plain,
    ( ! [X1] :
        ( ~ disjoint_nonempty(X1,X1)
        | empty(X1) )
    | ~ spl15_1 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f222,plain,
    ( spl15_1
  <=> ! [X1] :
        ( ~ disjoint_nonempty(X1,X1)
        | empty(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).

fof(f2794,plain,
    ( disjoint_nonempty(singleton(apply(sK5,sK11(sK5))),singleton(apply(sK5,sK11(sK5))))
    | ~ spl15_24 ),
    inference(subsumption_resolution,[],[f2793,f190]) ).

fof(f2793,plain,
    ( disjoint_nonempty(singleton(apply(sK5,sK11(sK5))),singleton(apply(sK5,sK11(sK5))))
    | empty(singleton(apply(sK5,sK11(sK5))))
    | ~ spl15_24 ),
    inference(duplicate_literal_removal,[],[f2790]) ).

fof(f2790,plain,
    ( empty(singleton(apply(sK5,sK11(sK5))))
    | empty(singleton(apply(sK5,sK11(sK5))))
    | disjoint_nonempty(singleton(apply(sK5,sK11(sK5))),singleton(apply(sK5,sK11(sK5))))
    | ~ spl15_24 ),
    inference(resolution,[],[f2621,f207]) ).

fof(f207,plain,
    ! [X0,X1] :
      ( ~ disjoint(X0,X1)
      | empty(X0)
      | disjoint_nonempty(X0,X1)
      | empty(X1) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( empty(X1)
      | empty(X0)
      | ( ( disjoint(X0,X1)
          | ~ disjoint_nonempty(X0,X1) )
        & ( disjoint_nonempty(X0,X1)
          | ~ disjoint(X0,X1) ) ) ),
    inference(rectify,[],[f139]) ).

fof(f139,plain,
    ! [X1,X0] :
      ( empty(X0)
      | empty(X1)
      | ( ( disjoint(X1,X0)
          | ~ disjoint_nonempty(X1,X0) )
        & ( disjoint_nonempty(X1,X0)
          | ~ disjoint(X1,X0) ) ) ),
    inference(nnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X1,X0] :
      ( empty(X0)
      | empty(X1)
      | ( disjoint(X1,X0)
      <=> disjoint_nonempty(X1,X0) ) ),
    inference(flattening,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ( disjoint(X1,X0)
      <=> disjoint_nonempty(X1,X0) )
      | empty(X0)
      | empty(X1) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( ( ~ empty(X0)
        & ~ empty(X1) )
     => ( disjoint(X1,X0)
      <=> disjoint_nonempty(X1,X0) ) ),
    inference(rectify,[],[f30]) ).

fof(f30,axiom,
    ! [X1,X0] :
      ( ( ~ empty(X1)
        & ~ empty(X0) )
     => ( disjoint_nonempty(X0,X1)
      <=> disjoint(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r1_subset_1) ).

fof(f2621,plain,
    ( disjoint(singleton(apply(sK5,sK11(sK5))),singleton(apply(sK5,sK11(sK5))))
    | ~ spl15_24 ),
    inference(avatar_component_clause,[],[f2619]) ).

fof(f2619,plain,
    ( spl15_24
  <=> disjoint(singleton(apply(sK5,sK11(sK5))),singleton(apply(sK5,sK11(sK5)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_24])]) ).

fof(f2685,plain,
    ( spl15_24
    | spl15_25 ),
    inference(avatar_split_clause,[],[f2682,f2623,f2619]) ).

fof(f2682,plain,
    ( sK12(sK5) = sK11(sK5)
    | disjoint(singleton(apply(sK5,sK11(sK5))),singleton(apply(sK5,sK11(sK5)))) ),
    inference(superposition,[],[f1257,f907]) ).

fof(f907,plain,
    relation_image(sK5,singleton(sK12(sK5))) = singleton(apply(sK5,sK11(sK5))),
    inference(forward_demodulation,[],[f906,f502]) ).

fof(f502,plain,
    apply(sK5,sK11(sK5)) = apply(sK5,sK12(sK5)),
    inference(subsumption_resolution,[],[f501,f173]) ).

fof(f501,plain,
    ( one_to_one(sK5)
    | apply(sK5,sK11(sK5)) = apply(sK5,sK12(sK5)) ),
    inference(subsumption_resolution,[],[f483,f170]) ).

fof(f483,plain,
    ( ~ function(sK5)
    | one_to_one(sK5)
    | apply(sK5,sK11(sK5)) = apply(sK5,sK12(sK5)) ),
    inference(resolution,[],[f206,f171]) ).

fof(f206,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ~ function(X0)
      | one_to_one(X0)
      | apply(X0,sK11(X0)) = apply(X0,sK12(X0)) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f906,plain,
    relation_image(sK5,singleton(sK12(sK5))) = singleton(apply(sK5,sK12(sK5))),
    inference(subsumption_resolution,[],[f905,f170]) ).

fof(f905,plain,
    ( relation_image(sK5,singleton(sK12(sK5))) = singleton(apply(sK5,sK12(sK5)))
    | ~ function(sK5) ),
    inference(subsumption_resolution,[],[f900,f173]) ).

fof(f900,plain,
    ( one_to_one(sK5)
    | relation_image(sK5,singleton(sK12(sK5))) = singleton(apply(sK5,sK12(sK5)))
    | ~ function(sK5) ),
    inference(resolution,[],[f534,f171]) ).

fof(f534,plain,
    ! [X5] :
      ( ~ relation(X5)
      | relation_image(X5,singleton(sK12(X5))) = singleton(apply(X5,sK12(X5)))
      | ~ function(X5)
      | one_to_one(X5) ),
    inference(duplicate_literal_removal,[],[f532]) ).

fof(f532,plain,
    ! [X5] :
      ( one_to_one(X5)
      | ~ function(X5)
      | relation_image(X5,singleton(sK12(X5))) = singleton(apply(X5,sK12(X5)))
      | ~ relation(X5)
      | ~ function(X5)
      | ~ relation(X5) ),
    inference(resolution,[],[f189,f204]) ).

fof(f204,plain,
    ! [X0] :
      ( in(sK12(X0),relation_dom(X0))
      | one_to_one(X0)
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f189,plain,
    ! [X0,X1] :
      ( ~ in(X1,relation_dom(X0))
      | ~ relation(X0)
      | singleton(apply(X0,X1)) = relation_image(X0,singleton(X1))
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( ~ in(X1,relation_dom(X0))
      | ~ function(X0)
      | singleton(apply(X0,X1)) = relation_image(X0,singleton(X1))
      | ~ relation(X0) ),
    inference(rectify,[],[f84]) ).

fof(f84,plain,
    ! [X1,X0] :
      ( ~ in(X0,relation_dom(X1))
      | ~ function(X1)
      | relation_image(X1,singleton(X0)) = singleton(apply(X1,X0))
      | ~ relation(X1) ),
    inference(flattening,[],[f83]) ).

fof(f83,plain,
    ! [X1,X0] :
      ( relation_image(X1,singleton(X0)) = singleton(apply(X1,X0))
      | ~ in(X0,relation_dom(X1))
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,axiom,
    ! [X1,X0] :
      ( ( function(X1)
        & relation(X1) )
     => ( in(X0,relation_dom(X1))
       => relation_image(X1,singleton(X0)) = singleton(apply(X1,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t117_funct_1) ).

fof(f1257,plain,
    ! [X1] :
      ( disjoint(relation_image(sK5,singleton(X1)),singleton(apply(sK5,sK11(sK5))))
      | sK11(sK5) = X1 ),
    inference(superposition,[],[f778,f923]) ).

fof(f923,plain,
    singleton(apply(sK5,sK11(sK5))) = relation_image(sK5,singleton(sK11(sK5))),
    inference(subsumption_resolution,[],[f922,f170]) ).

fof(f922,plain,
    ( singleton(apply(sK5,sK11(sK5))) = relation_image(sK5,singleton(sK11(sK5)))
    | ~ function(sK5) ),
    inference(subsumption_resolution,[],[f917,f173]) ).

fof(f917,plain,
    ( one_to_one(sK5)
    | ~ function(sK5)
    | singleton(apply(sK5,sK11(sK5))) = relation_image(sK5,singleton(sK11(sK5))) ),
    inference(resolution,[],[f535,f171]) ).

fof(f535,plain,
    ! [X4] :
      ( ~ relation(X4)
      | singleton(apply(X4,sK11(X4))) = relation_image(X4,singleton(sK11(X4)))
      | ~ function(X4)
      | one_to_one(X4) ),
    inference(duplicate_literal_removal,[],[f531]) ).

fof(f531,plain,
    ! [X4] :
      ( singleton(apply(X4,sK11(X4))) = relation_image(X4,singleton(sK11(X4)))
      | one_to_one(X4)
      | ~ relation(X4)
      | ~ relation(X4)
      | ~ function(X4)
      | ~ function(X4) ),
    inference(resolution,[],[f189,f203]) ).

fof(f203,plain,
    ! [X0] :
      ( in(sK11(X0),relation_dom(X0))
      | one_to_one(X0)
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f778,plain,
    ! [X6,X7] :
      ( disjoint(relation_image(sK5,singleton(X6)),relation_image(sK5,singleton(X7)))
      | X6 = X7 ),
    inference(subsumption_resolution,[],[f772,f285]) ).

fof(f285,plain,
    empty_set = relation_image(sK5,empty_set),
    inference(resolution,[],[f217,f171]) ).

fof(f217,plain,
    ! [X0] :
      ( ~ relation(X0)
      | empty_set = relation_image(X0,empty_set) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ! [X0] :
      ( ~ relation(X0)
      | empty_set = relation_image(X0,empty_set) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,axiom,
    ! [X0] :
      ( relation(X0)
     => empty_set = relation_image(X0,empty_set) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t149_relat_1) ).

fof(f772,plain,
    ! [X6,X7] :
      ( empty_set != relation_image(sK5,empty_set)
      | X6 = X7
      | disjoint(relation_image(sK5,singleton(X6)),relation_image(sK5,singleton(X7))) ),
    inference(superposition,[],[f434,f339]) ).

fof(f339,plain,
    ! [X0,X1] :
      ( empty_set = set_intersection2(singleton(X1),singleton(X0))
      | X0 = X1 ),
    inference(resolution,[],[f187,f183]) ).

fof(f183,plain,
    ! [X0,X1] :
      ( ~ disjoint(X0,X1)
      | set_intersection2(X0,X1) = empty_set ),
    inference(cnf_transformation,[],[f125]) ).

fof(f125,plain,
    ! [X0,X1] :
      ( ( set_intersection2(X0,X1) = empty_set
        | ~ disjoint(X0,X1) )
      & ( disjoint(X0,X1)
        | set_intersection2(X0,X1) != empty_set ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( set_intersection2(X0,X1) = empty_set
    <=> disjoint(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_xboole_0) ).

fof(f187,plain,
    ! [X0,X1] :
      ( disjoint(singleton(X1),singleton(X0))
      | X0 = X1 ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( disjoint(singleton(X1),singleton(X0))
      | X0 = X1 ),
    inference(rectify,[],[f87]) ).

fof(f87,plain,
    ! [X1,X0] :
      ( disjoint(singleton(X0),singleton(X1))
      | X0 = X1 ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,axiom,
    ! [X1,X0] :
      ( X0 != X1
     => disjoint(singleton(X0),singleton(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_zfmisc_1) ).

fof(f434,plain,
    ! [X3,X4] :
      ( empty_set != relation_image(sK5,set_intersection2(X3,X4))
      | disjoint(relation_image(sK5,X3),relation_image(sK5,X4)) ),
    inference(superposition,[],[f182,f172]) ).

fof(f172,plain,
    ! [X2,X1] : relation_image(sK5,set_intersection2(X1,X2)) = set_intersection2(relation_image(sK5,X1),relation_image(sK5,X2)),
    inference(cnf_transformation,[],[f117]) ).

fof(f182,plain,
    ! [X0,X1] :
      ( set_intersection2(X0,X1) != empty_set
      | disjoint(X0,X1) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f231,plain,
    ~ spl15_2,
    inference(avatar_contradiction_clause,[],[f229]) ).

fof(f229,plain,
    ( $false
    | ~ spl15_2 ),
    inference(resolution,[],[f226,f180]) ).

fof(f180,plain,
    ~ empty(sK8),
    inference(cnf_transformation,[],[f124]) ).

fof(f124,plain,
    ~ empty(sK8),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f27,f123]) ).

fof(f123,plain,
    ( ? [X0] : ~ empty(X0)
   => ~ empty(sK8) ),
    introduced(choice_axiom,[]) ).

fof(f27,axiom,
    ? [X0] : ~ empty(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).

fof(f226,plain,
    ( ! [X0] : empty(X0)
    | ~ spl15_2 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f225,plain,
    ( spl15_2
  <=> ! [X0] : empty(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).

fof(f227,plain,
    ( spl15_1
    | spl15_2 ),
    inference(avatar_split_clause,[],[f157,f225,f222]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( empty(X0)
      | ~ disjoint_nonempty(X1,X1)
      | empty(X1) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( empty(X1)
      | empty(X0)
      | ~ disjoint_nonempty(X1,X1) ),
    inference(flattening,[],[f78]) ).

fof(f78,plain,
    ! [X1,X0] :
      ( ~ disjoint_nonempty(X1,X1)
      | empty(X1)
      | empty(X0) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X1,X0] :
      ( ( ~ empty(X1)
        & ~ empty(X0) )
     => ~ disjoint_nonempty(X1,X1) ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X1,X0] :
      ( ( ~ empty(X1)
        & ~ empty(X0) )
     => ~ disjoint_nonempty(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_r1_subset_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : SEU053+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.32  % Computer : n002.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Tue Aug 30 14:54:14 EDT 2022
% 0.12/0.32  % CPUTime    : 
% 0.16/0.49  % (15269)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)
% 0.16/0.49  % (15281)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.49  % (15285)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)
% 0.16/0.50  % (15267)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.50  % (15273)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.50  TRYING [1]
% 0.16/0.50  TRYING [2]
% 0.16/0.50  TRYING [3]
% 0.16/0.50  % (15264)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.50  % (15288)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.16/0.51  % (15283)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.16/0.51  % (15271)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.51  % (15271)Instruction limit reached!
% 0.16/0.51  % (15271)------------------------------
% 0.16/0.51  % (15271)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51  % (15271)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51  % (15271)Termination reason: Unknown
% 0.16/0.51  % (15271)Termination phase: Preprocessing 3
% 0.16/0.51  
% 0.16/0.51  % (15271)Memory used [KB]: 895
% 0.16/0.51  % (15271)Time elapsed: 0.002 s
% 0.16/0.51  % (15271)Instructions burned: 2 (million)
% 0.16/0.51  % (15271)------------------------------
% 0.16/0.51  % (15271)------------------------------
% 0.16/0.51  % (15266)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.51  % (15265)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.16/0.51  % (15270)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.51  % (15277)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)
% 0.16/0.51  % (15284)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.16/0.51  % (15270)Instruction limit reached!
% 0.16/0.51  % (15270)------------------------------
% 0.16/0.51  % (15270)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51  % (15270)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51  % (15270)Termination reason: Unknown
% 0.16/0.51  % (15270)Termination phase: Saturation
% 0.16/0.51  
% 0.16/0.51  % (15270)Memory used [KB]: 5500
% 0.16/0.51  % (15270)Time elapsed: 0.124 s
% 0.16/0.51  % (15270)Instructions burned: 7 (million)
% 0.16/0.51  % (15270)------------------------------
% 0.16/0.51  % (15270)------------------------------
% 0.16/0.51  % (15291)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.51  % (15287)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.16/0.52  % (15276)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.52  % (15289)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)
% 0.16/0.52  % (15282)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.52  % (15280)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.16/0.52  % (15275)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.16/0.52  % (15263)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.16/0.52  % (15290)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.16/0.52  % (15292)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.16/0.52  TRYING [1]
% 0.16/0.52  TRYING [2]
% 0.16/0.52  % (15272)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.52  TRYING [3]
% 0.16/0.53  % (15274)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)
% 0.16/0.53  TRYING [4]
% 0.16/0.53  % (15278)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)
% 0.16/0.53  % (15268)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.16/0.53  % (15279)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)
% 0.16/0.53  % (15286)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)
% 0.16/0.54  TRYING [4]
% 0.16/0.54  TRYING [1]
% 0.16/0.54  TRYING [2]
% 0.16/0.54  TRYING [3]
% 0.16/0.56  TRYING [5]
% 0.16/0.56  % (15264)Instruction limit reached!
% 0.16/0.56  % (15264)------------------------------
% 0.16/0.56  % (15264)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.56  % (15264)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.56  % (15264)Termination reason: Unknown
% 0.16/0.56  % (15264)Termination phase: Saturation
% 0.16/0.56  
% 0.16/0.56  % (15264)Memory used [KB]: 6140
% 0.16/0.56  % (15264)Time elapsed: 0.186 s
% 0.16/0.56  % (15264)Instructions burned: 51 (million)
% 0.16/0.56  % (15264)------------------------------
% 0.16/0.56  % (15264)------------------------------
% 0.16/0.56  % (15273)Instruction limit reached!
% 0.16/0.56  % (15273)------------------------------
% 0.16/0.56  % (15273)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.57  % (15265)Instruction limit reached!
% 0.16/0.57  % (15265)------------------------------
% 0.16/0.57  % (15265)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.57  % (15265)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.57  % (15265)Termination reason: Unknown
% 0.16/0.57  % (15265)Termination phase: Saturation
% 0.16/0.57  
% 0.16/0.57  % (15265)Memory used [KB]: 1407
% 0.16/0.57  % (15265)Time elapsed: 0.187 s
% 0.16/0.57  % (15265)Instructions burned: 38 (million)
% 0.16/0.57  % (15265)------------------------------
% 0.16/0.57  % (15265)------------------------------
% 0.16/0.57  % (15273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.57  % (15273)Termination reason: Unknown
% 0.16/0.57  % (15273)Termination phase: Saturation
% 0.16/0.57  
% 0.16/0.57  % (15273)Memory used [KB]: 6396
% 0.16/0.57  % (15273)Time elapsed: 0.160 s
% 0.16/0.57  % (15273)Instructions burned: 50 (million)
% 0.16/0.57  % (15273)------------------------------
% 0.16/0.57  % (15273)------------------------------
% 0.16/0.57  TRYING [4]
% 0.16/0.57  TRYING [5]
% 0.16/0.58  % (15269)Instruction limit reached!
% 0.16/0.58  % (15269)------------------------------
% 0.16/0.58  % (15269)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.58  % (15269)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.58  % (15269)Termination reason: Unknown
% 0.16/0.58  % (15269)Termination phase: Finite model building constraint generation
% 0.16/0.58  
% 0.16/0.58  % (15269)Memory used [KB]: 7547
% 0.16/0.58  % (15269)Time elapsed: 0.182 s
% 0.16/0.58  % (15269)Instructions burned: 52 (million)
% 0.16/0.58  % (15269)------------------------------
% 0.16/0.58  % (15269)------------------------------
% 0.16/0.59  % (15266)Instruction limit reached!
% 0.16/0.59  % (15266)------------------------------
% 0.16/0.59  % (15266)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.59  % (15266)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.59  % (15266)Termination reason: Unknown
% 0.16/0.59  % (15266)Termination phase: Saturation
% 0.16/0.59  
% 0.16/0.59  % (15266)Memory used [KB]: 6012
% 0.16/0.59  % (15266)Time elapsed: 0.196 s
% 0.16/0.59  % (15266)Instructions burned: 52 (million)
% 0.16/0.59  % (15266)------------------------------
% 0.16/0.59  % (15266)------------------------------
% 0.16/0.59  TRYING [5]
% 0.16/0.59  % (15280)Instruction limit reached!
% 0.16/0.59  % (15280)------------------------------
% 0.16/0.59  % (15280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.59  % (15280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.59  % (15280)Termination reason: Unknown
% 0.16/0.59  % (15280)Termination phase: Finite model building constraint generation
% 0.16/0.59  
% 0.16/0.59  % (15280)Memory used [KB]: 7547
% 0.16/0.59  % (15280)Time elapsed: 0.217 s
% 0.16/0.59  % (15280)Instructions burned: 59 (million)
% 0.16/0.59  % (15280)------------------------------
% 0.16/0.59  % (15280)------------------------------
% 0.16/0.60  % (15267)Instruction limit reached!
% 0.16/0.60  % (15267)------------------------------
% 0.16/0.60  % (15267)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.60  % (15267)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.60  % (15267)Termination reason: Unknown
% 0.16/0.60  % (15267)Termination phase: Saturation
% 0.16/0.60  
% 0.16/0.60  % (15267)Memory used [KB]: 6396
% 0.16/0.60  % (15267)Time elapsed: 0.206 s
% 0.16/0.60  % (15267)Instructions burned: 53 (million)
% 0.16/0.60  % (15267)------------------------------
% 0.16/0.60  % (15267)------------------------------
% 0.16/0.60  % (15272)Instruction limit reached!
% 0.16/0.60  % (15272)------------------------------
% 0.16/0.60  % (15272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.60  % (15272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.60  % (15272)Termination reason: Unknown
% 0.16/0.60  % (15272)Termination phase: Saturation
% 0.16/0.60  
% 0.16/0.60  % (15272)Memory used [KB]: 1663
% 0.16/0.60  % (15272)Time elapsed: 0.222 s
% 0.16/0.60  % (15272)Instructions burned: 53 (million)
% 0.16/0.60  % (15272)------------------------------
% 0.16/0.60  % (15272)------------------------------
% 2.12/0.62  % (15268)Instruction limit reached!
% 2.12/0.62  % (15268)------------------------------
% 2.12/0.62  % (15268)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.62  % (15268)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.62  % (15268)Termination reason: Unknown
% 2.12/0.62  % (15268)Termination phase: Saturation
% 2.12/0.62  
% 2.12/0.62  % (15268)Memory used [KB]: 5884
% 2.12/0.62  % (15268)Time elapsed: 0.209 s
% 2.12/0.62  % (15268)Instructions burned: 49 (million)
% 2.12/0.62  % (15268)------------------------------
% 2.12/0.62  % (15268)------------------------------
% 2.12/0.62  % (15293)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.33/0.63  % (15281)Instruction limit reached!
% 2.33/0.63  % (15281)------------------------------
% 2.33/0.63  % (15281)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.63  % (15281)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.63  % (15281)Termination reason: Unknown
% 2.33/0.63  % (15281)Termination phase: Saturation
% 2.33/0.63  
% 2.33/0.63  % (15281)Memory used [KB]: 6908
% 2.33/0.63  % (15281)Time elapsed: 0.234 s
% 2.33/0.63  % (15281)Instructions burned: 100 (million)
% 2.33/0.63  % (15281)------------------------------
% 2.33/0.63  % (15281)------------------------------
% 2.38/0.65  TRYING [6]
% 2.38/0.66  % (15278)Instruction limit reached!
% 2.38/0.66  % (15278)------------------------------
% 2.38/0.66  % (15278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.66  % (15278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.66  % (15278)Termination reason: Unknown
% 2.38/0.66  % (15278)Termination phase: Saturation
% 2.38/0.66  
% 2.38/0.66  % (15278)Memory used [KB]: 1918
% 2.38/0.66  % (15278)Time elapsed: 0.240 s
% 2.38/0.66  % (15278)Instructions burned: 75 (million)
% 2.38/0.66  % (15278)------------------------------
% 2.38/0.66  % (15278)------------------------------
% 2.38/0.66  % (15294)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.38/0.67  % (15277)Instruction limit reached!
% 2.38/0.67  % (15277)------------------------------
% 2.38/0.67  % (15277)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.67  % (15277)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.67  % (15277)Termination reason: Unknown
% 2.38/0.67  % (15277)Termination phase: Saturation
% 2.38/0.67  
% 2.38/0.67  % (15277)Memory used [KB]: 6652
% 2.38/0.67  % (15277)Time elapsed: 0.052 s
% 2.38/0.67  % (15277)Instructions burned: 68 (million)
% 2.38/0.67  % (15277)------------------------------
% 2.38/0.67  % (15277)------------------------------
% 2.38/0.67  % (15289)Instruction limit reached!
% 2.38/0.67  % (15289)------------------------------
% 2.38/0.67  % (15289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.67  % (15289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.67  % (15289)Termination reason: Unknown
% 2.38/0.67  % (15289)Termination phase: Saturation
% 2.38/0.67  
% 2.38/0.67  % (15289)Memory used [KB]: 6652
% 2.38/0.67  % (15289)Time elapsed: 0.053 s
% 2.38/0.67  % (15289)Instructions burned: 68 (million)
% 2.38/0.67  % (15289)------------------------------
% 2.38/0.67  % (15289)------------------------------
% 2.38/0.68  % (15276)Instruction limit reached!
% 2.38/0.68  % (15276)------------------------------
% 2.38/0.68  % (15276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.68  % (15276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.68  % (15276)Termination reason: Unknown
% 2.38/0.68  % (15276)Termination phase: Saturation
% 2.38/0.68  
% 2.38/0.68  % (15276)Memory used [KB]: 6652
% 2.38/0.68  % (15276)Time elapsed: 0.264 s
% 2.38/0.68  % (15276)Instructions burned: 101 (million)
% 2.38/0.68  % (15276)------------------------------
% 2.38/0.68  % (15276)------------------------------
% 2.38/0.69  % (15296)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.38/0.69  % (15297)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.38/0.70  % (15274)Instruction limit reached!
% 2.38/0.70  % (15274)------------------------------
% 2.38/0.70  % (15274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.70  % (15274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.70  % (15274)Termination reason: Unknown
% 2.38/0.70  % (15274)Termination phase: Saturation
% 2.38/0.70  
% 2.38/0.70  % (15274)Memory used [KB]: 6524
% 2.38/0.70  % (15274)Time elapsed: 0.320 s
% 2.38/0.70  % (15274)Instructions burned: 101 (million)
% 2.38/0.70  % (15274)------------------------------
% 2.38/0.70  % (15274)------------------------------
% 2.38/0.70  % (15295)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.85/0.71  % (15282)Instruction limit reached!
% 2.85/0.71  % (15282)------------------------------
% 2.85/0.71  % (15282)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.71  % (15282)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.71  % (15282)Termination reason: Unknown
% 2.85/0.71  % (15282)Termination phase: Saturation
% 2.85/0.71  
% 2.85/0.71  % (15282)Memory used [KB]: 2174
% 2.85/0.71  % (15282)Time elapsed: 0.321 s
% 2.85/0.71  % (15282)Instructions burned: 100 (million)
% 2.85/0.71  % (15282)------------------------------
% 2.85/0.71  % (15282)------------------------------
% 2.85/0.72  % (15298)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.85/0.73  % (15275)Instruction limit reached!
% 2.85/0.73  % (15275)------------------------------
% 2.85/0.73  % (15275)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.73  % (15275)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.73  % (15275)Termination reason: Unknown
% 2.85/0.73  % (15275)Termination phase: Saturation
% 2.85/0.73  
% 2.85/0.73  % (15275)Memory used [KB]: 6652
% 2.85/0.73  % (15275)Time elapsed: 0.338 s
% 2.85/0.73  % (15275)Instructions burned: 103 (million)
% 2.85/0.73  % (15275)------------------------------
% 2.85/0.73  % (15275)------------------------------
% 2.85/0.73  % (15300)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 (2997ds/68Mi)
% 2.85/0.73  % (15301)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.85/0.74  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.85/0.74  % (15302)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.85/0.74  % (15279)Instruction limit reached!
% 2.85/0.74  % (15279)------------------------------
% 2.85/0.74  % (15279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.74  % (15279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.74  % (15279)Termination reason: Unknown
% 2.85/0.74  % (15279)Termination phase: Saturation
% 2.85/0.74  
% 2.85/0.74  % (15279)Memory used [KB]: 6396
% 2.85/0.74  % (15279)Time elapsed: 0.368 s
% 2.85/0.74  % (15279)Instructions burned: 100 (million)
% 2.85/0.74  % (15279)------------------------------
% 2.85/0.74  % (15279)------------------------------
% 2.85/0.76  % (15284)Instruction limit reached!
% 2.85/0.76  % (15284)------------------------------
% 2.85/0.76  % (15284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.76  % (15284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.76  % (15284)Termination reason: Unknown
% 2.85/0.76  % (15284)Termination phase: Saturation
% 2.85/0.76  
% 2.85/0.76  % (15284)Memory used [KB]: 7291
% 2.85/0.76  % (15284)Time elapsed: 0.342 s
% 2.85/0.76  % (15284)Instructions burned: 140 (million)
% 2.85/0.76  % (15284)------------------------------
% 2.85/0.76  % (15284)------------------------------
% 3.17/0.77  % (15299)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 3.17/0.78  % (15304)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 3.17/0.78  % (15303)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 3.17/0.79  % (15305)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 3.17/0.81  % (15283)Instruction limit reached!
% 3.17/0.81  % (15283)------------------------------
% 3.17/0.81  % (15283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.17/0.81  % (15283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.17/0.81  % (15283)Termination reason: Unknown
% 3.17/0.81  % (15283)Termination phase: Saturation
% 3.17/0.81  
% 3.17/0.81  % (15283)Memory used [KB]: 7419
% 3.17/0.81  % (15283)Time elapsed: 0.419 s
% 3.17/0.81  % (15283)Instructions burned: 178 (million)
% 3.17/0.81  % (15283)------------------------------
% 3.17/0.81  % (15283)------------------------------
% 3.17/0.81  % (15308)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 3.17/0.82  % (15290)Instruction limit reached!
% 3.17/0.82  % (15290)------------------------------
% 3.17/0.82  % (15290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.17/0.82  % (15290)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.17/0.82  % (15290)Termination reason: Unknown
% 3.17/0.82  % (15290)Termination phase: Saturation
% 3.17/0.82  
% 3.17/0.82  % (15290)Memory used [KB]: 2814
% 3.17/0.82  % (15290)Time elapsed: 0.422 s
% 3.17/0.82  % (15290)Instructions burned: 179 (million)
% 3.17/0.82  % (15290)------------------------------
% 3.17/0.82  % (15290)------------------------------
% 3.17/0.82  TRYING [7]
% 3.17/0.83  % (15309)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 3.17/0.83  % (15306)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 3.17/0.84  % (15310)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 (2996ds/68Mi)
% 3.17/0.85  % (15307)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 3.57/0.86  % (15300)Instruction limit reached!
% 3.57/0.86  % (15300)------------------------------
% 3.57/0.86  % (15300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.57/0.86  % (15300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.57/0.86  % (15300)Termination reason: Unknown
% 3.57/0.86  % (15300)Termination phase: Saturation
% 3.57/0.86  
% 3.57/0.86  % (15300)Memory used [KB]: 6652
% 3.57/0.86  % (15300)Time elapsed: 0.039 s
% 3.57/0.86  % (15300)Instructions burned: 69 (million)
% 3.57/0.86  % (15300)------------------------------
% 3.57/0.86  % (15300)------------------------------
% 3.57/0.87  % (15295)Instruction limit reached!
% 3.57/0.87  % (15295)------------------------------
% 3.57/0.87  % (15295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.57/0.87  % (15295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.57/0.87  % (15295)Termination reason: Unknown
% 3.57/0.87  % (15295)Termination phase: Saturation
% 3.57/0.87  
% 3.57/0.87  % (15295)Memory used [KB]: 6396
% 3.57/0.87  % (15295)Time elapsed: 0.273 s
% 3.57/0.87  % (15295)Instructions burned: 90 (million)
% 3.57/0.87  % (15295)------------------------------
% 3.57/0.87  % (15295)------------------------------
% 3.72/0.90  % (15312)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2134Mi)
% 3.72/0.91  % (15311)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 3.72/0.91  % (15313)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.90/0.93  % (15303)Instruction limit reached!
% 3.90/0.93  % (15303)------------------------------
% 3.90/0.93  % (15303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.90/0.93  % (15303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.90/0.93  % (15303)Termination reason: Unknown
% 3.90/0.93  % (15303)Termination phase: Saturation
% 3.90/0.93  
% 3.90/0.93  % (15303)Memory used [KB]: 7164
% 3.90/0.93  % (15303)Time elapsed: 0.265 s
% 3.90/0.93  % (15303)Instructions burned: 90 (million)
% 3.90/0.93  % (15303)------------------------------
% 3.90/0.93  % (15303)------------------------------
% 3.90/0.97  % (15310)Instruction limit reached!
% 3.90/0.97  % (15310)------------------------------
% 3.90/0.97  % (15310)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.90/0.97  % (15310)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.90/0.97  % (15310)Termination reason: Unknown
% 3.90/0.97  % (15310)Termination phase: Saturation
% 3.90/0.97  
% 3.90/0.97  % (15310)Memory used [KB]: 6524
% 3.90/0.97  % (15310)Time elapsed: 0.039 s
% 3.90/0.97  % (15310)Instructions burned: 68 (million)
% 3.90/0.97  % (15310)------------------------------
% 3.90/0.97  % (15310)------------------------------
% 3.90/0.97  % (15294)Instruction limit reached!
% 3.90/0.97  % (15294)------------------------------
% 3.90/0.97  % (15294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.90/0.97  % (15294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.90/0.97  % (15294)Termination reason: Unknown
% 3.90/0.97  % (15294)Termination phase: Saturation
% 3.90/0.97  
% 3.90/0.97  % (15294)Memory used [KB]: 3582
% 3.90/0.97  % (15294)Time elapsed: 0.404 s
% 3.90/0.97  % (15294)Instructions burned: 211 (million)
% 3.90/0.97  % (15294)------------------------------
% 3.90/0.97  % (15294)------------------------------
% 3.90/0.97  % (15314)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.90/0.98  % (15315)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.90/1.00  % (15317)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 4.26/1.01  % (15316)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 4.47/1.07  % (15318)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9965Mi)
% 4.47/1.10  % (15315)Instruction limit reached!
% 4.47/1.10  % (15315)------------------------------
% 4.47/1.10  % (15315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.47/1.11  % (15320)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9902Mi)
% 4.47/1.11  % (15315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.47/1.11  % (15315)Termination reason: Unknown
% 4.47/1.11  % (15315)Termination phase: Saturation
% 4.47/1.11  
% 4.47/1.11  % (15315)Memory used [KB]: 6652
% 4.47/1.11  % (15315)Time elapsed: 0.257 s
% 4.47/1.11  % (15315)Instructions burned: 91 (million)
% 4.47/1.11  % (15315)------------------------------
% 4.47/1.11  % (15315)------------------------------
% 4.47/1.15  % (15292)Instruction limit reached!
% 4.47/1.15  % (15292)------------------------------
% 4.47/1.15  % (15292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.47/1.15  % (15292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.47/1.15  % (15292)Termination reason: Unknown
% 4.47/1.15  % (15292)Termination phase: Saturation
% 4.47/1.15  
% 4.47/1.15  % (15292)Memory used [KB]: 8187
% 4.47/1.15  % (15292)Time elapsed: 0.711 s
% 4.47/1.15  % (15292)Instructions burned: 355 (million)
% 4.47/1.15  % (15292)------------------------------
% 4.47/1.15  % (15292)------------------------------
% 6.65/1.19  % (15319)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9877Mi)
% 6.88/1.20  TRYING [8]
% 6.88/1.22  % (15291)Instruction limit reached!
% 6.88/1.22  % (15291)------------------------------
% 6.88/1.22  % (15291)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.88/1.22  % (15291)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.88/1.22  % (15291)Termination reason: Unknown
% 6.88/1.22  % (15291)Termination phase: Saturation
% 6.88/1.22  
% 6.88/1.22  % (15291)Memory used [KB]: 11897
% 6.88/1.22  % (15291)Time elapsed: 0.847 s
% 6.88/1.22  % (15291)Instructions burned: 440 (million)
% 6.88/1.22  % (15291)------------------------------
% 6.88/1.22  % (15291)------------------------------
% 7.17/1.24  % (15305)First to succeed.
% 7.17/1.25  % (15305)Refutation found. Thanks to Tanya!
% 7.17/1.25  % SZS status Theorem for theBenchmark
% 7.17/1.25  % SZS output start Proof for theBenchmark
% See solution above
% 7.17/1.25  % (15305)------------------------------
% 7.17/1.25  % (15305)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.17/1.25  % (15305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.17/1.25  % (15305)Termination reason: Refutation
% 7.17/1.25  
% 7.17/1.25  % (15305)Memory used [KB]: 8699
% 7.17/1.25  % (15305)Time elapsed: 0.538 s
% 7.17/1.25  % (15305)Instructions burned: 300 (million)
% 7.17/1.25  % (15305)------------------------------
% 7.17/1.25  % (15305)------------------------------
% 7.17/1.25  % (15262)Success in time 0.922 s
%------------------------------------------------------------------------------