TSTP Solution File: SEU186+2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU186+2 : 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 : n025.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 18:32:24 EDT 2022

% Result   : Theorem 8.55s 1.41s
% Output   : Refutation 8.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   77 (  20 unt;   0 def)
%            Number of atoms       :  289 (  75 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  328 ( 116   ~; 109   |;  71   &)
%                                         (  13 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   2 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;   2 con; 0-3 aty)
%            Number of variables   :  213 ( 168   !;  45   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5631,plain,
    $false,
    inference(avatar_sat_refutation,[],[f2917,f5630]) ).

fof(f5630,plain,
    spl50_19,
    inference(avatar_contradiction_clause,[],[f5629]) ).

fof(f5629,plain,
    ( $false
    | spl50_19 ),
    inference(subsumption_resolution,[],[f5610,f2163]) ).

fof(f2163,plain,
    ( empty_set != relation_dom(sK25)
    | spl50_19 ),
    inference(avatar_component_clause,[],[f2162]) ).

fof(f2162,plain,
    ( spl50_19
  <=> empty_set = relation_dom(sK25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl50_19])]) ).

fof(f5610,plain,
    empty_set = relation_dom(sK25),
    inference(resolution,[],[f5527,f934]) ).

fof(f934,plain,
    ! [X2] : ~ in(X2,empty_set),
    inference(equality_resolution,[],[f773]) ).

fof(f773,plain,
    ! [X2,X0] :
      ( ~ in(X2,X0)
      | empty_set != X0 ),
    inference(cnf_transformation,[],[f525]) ).

fof(f525,plain,
    ! [X0] :
      ( ( empty_set = X0
        | in(sK47(X0),X0) )
      & ( ! [X2] : ~ in(X2,X0)
        | empty_set != X0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK47])],[f523,f524]) ).

fof(f524,plain,
    ! [X0] :
      ( ? [X1] : in(X1,X0)
     => in(sK47(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f523,plain,
    ! [X0] :
      ( ( empty_set = X0
        | ? [X1] : in(X1,X0) )
      & ( ! [X2] : ~ in(X2,X0)
        | empty_set != X0 ) ),
    inference(rectify,[],[f522]) ).

fof(f522,plain,
    ! [X0] :
      ( ( empty_set = X0
        | ? [X1] : in(X1,X0) )
      & ( ! [X1] : ~ in(X1,X0)
        | empty_set != X0 ) ),
    inference(nnf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( empty_set = X0
    <=> ! [X1] : ~ in(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).

fof(f5527,plain,
    ! [X46] :
      ( in(sK41(sK25,X46),X46)
      | relation_dom(sK25) = X46 ),
    inference(subsumption_resolution,[],[f5524,f1044]) ).

fof(f1044,plain,
    ! [X14,X13] : ~ in(unordered_pair(unordered_pair(X13,X13),unordered_pair(X13,X14)),sK25),
    inference(superposition,[],[f838,f543]) ).

fof(f543,plain,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).

fof(f838,plain,
    ! [X2,X1] : ~ in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),sK25),
    inference(definition_unfolding,[],[f656,f805]) ).

fof(f805,plain,
    ! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(unordered_pair(X1,X0),unordered_pair(X1,X1)),
    inference(definition_unfolding,[],[f666,f749]) ).

fof(f749,plain,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    inference(cnf_transformation,[],[f153]) ).

fof(f153,axiom,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).

fof(f666,plain,
    ! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(unordered_pair(X1,X0),singleton(X1)),
    inference(cnf_transformation,[],[f224]) ).

fof(f224,plain,
    ! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(unordered_pair(X1,X0),singleton(X1)),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X1,X0] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).

fof(f656,plain,
    ! [X2,X1] : ~ in(ordered_pair(X2,X1),sK25),
    inference(cnf_transformation,[],[f439]) ).

fof(f439,plain,
    ( relation(sK25)
    & empty_set != sK25
    & ! [X1,X2] : ~ in(ordered_pair(X2,X1),sK25) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f334,f438]) ).

fof(f438,plain,
    ( ? [X0] :
        ( relation(X0)
        & empty_set != X0
        & ! [X1,X2] : ~ in(ordered_pair(X2,X1),X0) )
   => ( relation(sK25)
      & empty_set != sK25
      & ! [X2,X1] : ~ in(ordered_pair(X2,X1),sK25) ) ),
    introduced(choice_axiom,[]) ).

fof(f334,plain,
    ? [X0] :
      ( relation(X0)
      & empty_set != X0
      & ! [X1,X2] : ~ in(ordered_pair(X2,X1),X0) ),
    inference(flattening,[],[f333]) ).

fof(f333,plain,
    ? [X0] :
      ( empty_set != X0
      & ! [X1,X2] : ~ in(ordered_pair(X2,X1),X0)
      & relation(X0) ),
    inference(ennf_transformation,[],[f230]) ).

fof(f230,plain,
    ~ ! [X0] :
        ( relation(X0)
       => ( ! [X1,X2] : ~ in(ordered_pair(X2,X1),X0)
         => empty_set = X0 ) ),
    inference(rectify,[],[f148]) ).

fof(f148,negated_conjecture,
    ~ ! [X0] :
        ( relation(X0)
       => ( ! [X2,X1] : ~ in(ordered_pair(X1,X2),X0)
         => empty_set = X0 ) ),
    inference(negated_conjecture,[],[f147]) ).

fof(f147,conjecture,
    ! [X0] :
      ( relation(X0)
     => ( ! [X2,X1] : ~ in(ordered_pair(X1,X2),X0)
       => empty_set = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t56_relat_1) ).

fof(f5524,plain,
    ! [X46] :
      ( in(sK41(sK25,X46),X46)
      | relation_dom(sK25) = X46
      | in(unordered_pair(unordered_pair(sK41(sK25,X46),sK41(sK25,X46)),unordered_pair(sK41(sK25,X46),sK42(sK25,X46))),sK25) ),
    inference(resolution,[],[f942,f658]) ).

fof(f658,plain,
    relation(sK25),
    inference(cnf_transformation,[],[f439]) ).

fof(f942,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | in(unordered_pair(unordered_pair(sK41(X0,X1),sK41(X0,X1)),unordered_pair(sK41(X0,X1),sK42(X0,X1))),X0)
      | in(sK41(X0,X1),X1)
      | relation_dom(X0) = X1 ),
    inference(backward_demodulation,[],[f873,f543]) ).

fof(f873,plain,
    ! [X0,X1] :
      ( in(sK41(X0,X1),X1)
      | in(unordered_pair(unordered_pair(sK41(X0,X1),sK42(X0,X1)),unordered_pair(sK41(X0,X1),sK41(X0,X1))),X0)
      | ~ relation(X0)
      | relation_dom(X0) = X1 ),
    inference(definition_unfolding,[],[f754,f805]) ).

fof(f754,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | relation_dom(X0) = X1
      | in(ordered_pair(sK41(X0,X1),sK42(X0,X1)),X0)
      | in(sK41(X0,X1),X1) ),
    inference(cnf_transformation,[],[f510]) ).

fof(f510,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( relation_dom(X0) = X1
            | ( ( ! [X3] : ~ in(ordered_pair(sK41(X0,X1),X3),X0)
                | ~ in(sK41(X0,X1),X1) )
              & ( in(ordered_pair(sK41(X0,X1),sK42(X0,X1)),X0)
                | in(sK41(X0,X1),X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
                & ( in(ordered_pair(X5,sK43(X0,X5)),X0)
                  | ~ in(X5,X1) ) )
            | relation_dom(X0) != X1 ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK41,sK42,sK43])],[f506,f509,f508,f507]) ).

fof(f507,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
            | ~ in(X2,X1) )
          & ( ? [X4] : in(ordered_pair(X2,X4),X0)
            | in(X2,X1) ) )
     => ( ( ! [X3] : ~ in(ordered_pair(sK41(X0,X1),X3),X0)
          | ~ in(sK41(X0,X1),X1) )
        & ( ? [X4] : in(ordered_pair(sK41(X0,X1),X4),X0)
          | in(sK41(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f508,plain,
    ! [X0,X1] :
      ( ? [X4] : in(ordered_pair(sK41(X0,X1),X4),X0)
     => in(ordered_pair(sK41(X0,X1),sK42(X0,X1)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f509,plain,
    ! [X0,X5] :
      ( ? [X7] : in(ordered_pair(X5,X7),X0)
     => in(ordered_pair(X5,sK43(X0,X5)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f506,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( relation_dom(X0) = X1
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
                  | ~ in(X2,X1) )
                & ( ? [X4] : in(ordered_pair(X2,X4),X0)
                  | in(X2,X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
                & ( ? [X7] : in(ordered_pair(X5,X7),X0)
                  | ~ in(X5,X1) ) )
            | relation_dom(X0) != X1 ) ) ),
    inference(rectify,[],[f505]) ).

fof(f505,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( relation_dom(X0) = X1
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
                  | ~ in(X2,X1) )
                & ( ? [X3] : in(ordered_pair(X2,X3),X0)
                  | in(X2,X1) ) ) )
          & ( ! [X2] :
                ( ( in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
                & ( ? [X3] : in(ordered_pair(X2,X3),X0)
                  | ~ in(X2,X1) ) )
            | relation_dom(X0) != X1 ) ) ),
    inference(nnf_transformation,[],[f308]) ).

fof(f308,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( relation_dom(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation_dom(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_1) ).

fof(f2917,plain,
    ~ spl50_19,
    inference(avatar_contradiction_clause,[],[f2916]) ).

fof(f2916,plain,
    ( $false
    | ~ spl50_19 ),
    inference(subsumption_resolution,[],[f2914,f934]) ).

fof(f2914,plain,
    ( in(sK13(empty_set,relation_rng(sK25),sK47(sK25)),empty_set)
    | ~ spl50_19 ),
    inference(resolution,[],[f895,f2804]) ).

fof(f2804,plain,
    ( in(sK47(sK25),cartesian_product2(empty_set,relation_rng(sK25)))
    | ~ spl50_19 ),
    inference(backward_demodulation,[],[f1929,f2164]) ).

fof(f2164,plain,
    ( empty_set = relation_dom(sK25)
    | ~ spl50_19 ),
    inference(avatar_component_clause,[],[f2162]) ).

fof(f1929,plain,
    in(sK47(sK25),cartesian_product2(relation_dom(sK25),relation_rng(sK25))),
    inference(subsumption_resolution,[],[f1928,f657]) ).

fof(f657,plain,
    empty_set != sK25,
    inference(cnf_transformation,[],[f439]) ).

fof(f1928,plain,
    ( in(sK47(sK25),cartesian_product2(relation_dom(sK25),relation_rng(sK25)))
    | empty_set = sK25 ),
    inference(resolution,[],[f1618,f774]) ).

fof(f774,plain,
    ! [X0] :
      ( in(sK47(X0),X0)
      | empty_set = X0 ),
    inference(cnf_transformation,[],[f525]) ).

fof(f1618,plain,
    ! [X21] :
      ( ~ in(X21,sK25)
      | in(X21,cartesian_product2(relation_dom(sK25),relation_rng(sK25))) ),
    inference(resolution,[],[f737,f1456]) ).

fof(f1456,plain,
    subset(sK25,cartesian_product2(relation_dom(sK25),relation_rng(sK25))),
    inference(resolution,[],[f684,f658]) ).

fof(f684,plain,
    ! [X0] :
      ( ~ relation(X0)
      | subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0))) ),
    inference(cnf_transformation,[],[f351]) ).

fof(f351,plain,
    ! [X0] :
      ( subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0)))
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f108]) ).

fof(f108,axiom,
    ! [X0] :
      ( relation(X0)
     => subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_relat_1) ).

fof(f737,plain,
    ! [X2,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ in(X2,X0)
      | in(X2,X1) ),
    inference(cnf_transformation,[],[f496]) ).

fof(f496,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ~ in(X2,X0)
            | in(X2,X1) )
        | ~ subset(X0,X1) )
      & ( subset(X0,X1)
        | ( in(sK39(X0,X1),X0)
          & ~ in(sK39(X0,X1),X1) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK39])],[f494,f495]) ).

fof(f495,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( in(X3,X0)
          & ~ in(X3,X1) )
     => ( in(sK39(X0,X1),X0)
        & ~ in(sK39(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f494,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ~ in(X2,X0)
            | in(X2,X1) )
        | ~ subset(X0,X1) )
      & ( subset(X0,X1)
        | ? [X3] :
            ( in(X3,X0)
            & ~ in(X3,X1) ) ) ),
    inference(rectify,[],[f493]) ).

fof(f493,plain,
    ! [X1,X0] :
      ( ( ! [X2] :
            ( ~ in(X2,X1)
            | in(X2,X0) )
        | ~ subset(X1,X0) )
      & ( subset(X1,X0)
        | ? [X2] :
            ( in(X2,X1)
            & ~ in(X2,X0) ) ) ),
    inference(nnf_transformation,[],[f335]) ).

fof(f335,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( ~ in(X2,X1)
          | in(X2,X0) )
    <=> subset(X1,X0) ),
    inference(ennf_transformation,[],[f206]) ).

fof(f206,plain,
    ! [X0,X1] :
      ( subset(X1,X0)
    <=> ! [X2] :
          ( in(X2,X1)
         => in(X2,X0) ) ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X1,X0] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

fof(f895,plain,
    ! [X3,X0,X1] :
      ( ~ in(X3,cartesian_product2(X0,X1))
      | in(sK13(X0,X1,X3),X0) ),
    inference(equality_resolution,[],[f612]) ).

fof(f612,plain,
    ! [X2,X3,X0,X1] :
      ( in(sK13(X0,X1,X3),X0)
      | ~ in(X3,X2)
      | cartesian_product2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f404]) ).

fof(f404,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3] :
            ( ( in(X3,X2)
              | ! [X4,X5] :
                  ( ~ in(X5,X0)
                  | ordered_pair(X5,X4) != X3
                  | ~ in(X4,X1) ) )
            & ( ( in(sK13(X0,X1,X3),X0)
                & ordered_pair(sK13(X0,X1,X3),sK12(X0,X1,X3)) = X3
                & in(sK12(X0,X1,X3),X1) )
              | ~ in(X3,X2) ) )
        | cartesian_product2(X0,X1) != X2 )
      & ( cartesian_product2(X0,X1) = X2
        | ( ( ! [X9,X10] :
                ( ~ in(X10,X0)
                | sK14(X0,X1,X2) != ordered_pair(X10,X9)
                | ~ in(X9,X1) )
            | ~ in(sK14(X0,X1,X2),X2) )
          & ( ( in(sK16(X0,X1,X2),X0)
              & sK14(X0,X1,X2) = ordered_pair(sK16(X0,X1,X2),sK15(X0,X1,X2))
              & in(sK15(X0,X1,X2),X1) )
            | in(sK14(X0,X1,X2),X2) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15,sK16])],[f400,f403,f402,f401]) ).

fof(f401,plain,
    ! [X0,X1,X3] :
      ( ? [X6,X7] :
          ( in(X7,X0)
          & ordered_pair(X7,X6) = X3
          & in(X6,X1) )
     => ( in(sK13(X0,X1,X3),X0)
        & ordered_pair(sK13(X0,X1,X3),sK12(X0,X1,X3)) = X3
        & in(sK12(X0,X1,X3),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f402,plain,
    ! [X0,X1,X2] :
      ( ? [X8] :
          ( ( ! [X9,X10] :
                ( ~ in(X10,X0)
                | ordered_pair(X10,X9) != X8
                | ~ in(X9,X1) )
            | ~ in(X8,X2) )
          & ( ? [X11,X12] :
                ( in(X12,X0)
                & ordered_pair(X12,X11) = X8
                & in(X11,X1) )
            | in(X8,X2) ) )
     => ( ( ! [X10,X9] :
              ( ~ in(X10,X0)
              | sK14(X0,X1,X2) != ordered_pair(X10,X9)
              | ~ in(X9,X1) )
          | ~ in(sK14(X0,X1,X2),X2) )
        & ( ? [X12,X11] :
              ( in(X12,X0)
              & sK14(X0,X1,X2) = ordered_pair(X12,X11)
              & in(X11,X1) )
          | in(sK14(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f403,plain,
    ! [X0,X1,X2] :
      ( ? [X12,X11] :
          ( in(X12,X0)
          & sK14(X0,X1,X2) = ordered_pair(X12,X11)
          & in(X11,X1) )
     => ( in(sK16(X0,X1,X2),X0)
        & sK14(X0,X1,X2) = ordered_pair(sK16(X0,X1,X2),sK15(X0,X1,X2))
        & in(sK15(X0,X1,X2),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f400,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3] :
            ( ( in(X3,X2)
              | ! [X4,X5] :
                  ( ~ in(X5,X0)
                  | ordered_pair(X5,X4) != X3
                  | ~ in(X4,X1) ) )
            & ( ? [X6,X7] :
                  ( in(X7,X0)
                  & ordered_pair(X7,X6) = X3
                  & in(X6,X1) )
              | ~ in(X3,X2) ) )
        | cartesian_product2(X0,X1) != X2 )
      & ( cartesian_product2(X0,X1) = X2
        | ? [X8] :
            ( ( ! [X9,X10] :
                  ( ~ in(X10,X0)
                  | ordered_pair(X10,X9) != X8
                  | ~ in(X9,X1) )
              | ~ in(X8,X2) )
            & ( ? [X11,X12] :
                  ( in(X12,X0)
                  & ordered_pair(X12,X11) = X8
                  & in(X11,X1) )
              | in(X8,X2) ) ) ) ),
    inference(rectify,[],[f399]) ).

fof(f399,plain,
    ! [X0,X2,X1] :
      ( ( ! [X3] :
            ( ( in(X3,X1)
              | ! [X4,X5] :
                  ( ~ in(X5,X0)
                  | ordered_pair(X5,X4) != X3
                  | ~ in(X4,X2) ) )
            & ( ? [X4,X5] :
                  ( in(X5,X0)
                  & ordered_pair(X5,X4) = X3
                  & in(X4,X2) )
              | ~ in(X3,X1) ) )
        | cartesian_product2(X0,X2) != X1 )
      & ( cartesian_product2(X0,X2) = X1
        | ? [X3] :
            ( ( ! [X4,X5] :
                  ( ~ in(X5,X0)
                  | ordered_pair(X5,X4) != X3
                  | ~ in(X4,X2) )
              | ~ in(X3,X1) )
            & ( ? [X4,X5] :
                  ( in(X5,X0)
                  & ordered_pair(X5,X4) = X3
                  & in(X4,X2) )
              | in(X3,X1) ) ) ) ),
    inference(nnf_transformation,[],[f212]) ).

fof(f212,plain,
    ! [X0,X2,X1] :
      ( ! [X3] :
          ( in(X3,X1)
        <=> ? [X4,X5] :
              ( in(X5,X0)
              & ordered_pair(X5,X4) = X3
              & in(X4,X2) ) )
    <=> cartesian_product2(X0,X2) = X1 ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X0,X2,X1] :
      ( cartesian_product2(X0,X1) = X2
    <=> ! [X3] :
          ( ? [X5,X4] :
              ( in(X5,X1)
              & ordered_pair(X4,X5) = X3
              & in(X4,X0) )
        <=> in(X3,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_zfmisc_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10  % Problem    : SEU186+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.30  % Computer : n025.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Tue Aug 30 14:56:59 EDT 2022
% 0.10/0.31  % CPUTime    : 
% 0.16/0.47  % (9608)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)
% 0.16/0.47  % (9626)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)
% 0.16/0.47  % (9618)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)
% 0.16/0.48  % (9610)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.48  % (9617)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)
% 0.16/0.49  % (9624)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.16/0.49  % (9610)Instruction limit reached!
% 0.16/0.49  % (9610)------------------------------
% 0.16/0.49  % (9610)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49  % (9610)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49  % (9610)Termination reason: Unknown
% 0.16/0.49  % (9610)Termination phase: Property scanning
% 0.16/0.49  
% 0.16/0.49  % (9610)Memory used [KB]: 1279
% 0.16/0.49  % (9610)Time elapsed: 0.013 s
% 0.16/0.49  % (9610)Instructions burned: 8 (million)
% 0.16/0.49  % (9610)------------------------------
% 0.16/0.49  % (9610)------------------------------
% 0.16/0.50  % (9605)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)
% 0.16/0.50  % (9603)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)
% 0.16/0.50  % (9611)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.50  % (9611)Instruction limit reached!
% 0.16/0.50  % (9611)------------------------------
% 0.16/0.50  % (9611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50  % (9611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50  % (9611)Termination reason: Unknown
% 0.16/0.50  % (9611)Termination phase: Preprocessing 1
% 0.16/0.50  
% 0.16/0.50  % (9611)Memory used [KB]: 1023
% 0.16/0.50  % (9611)Time elapsed: 0.002 s
% 0.16/0.50  % (9611)Instructions burned: 2 (million)
% 0.16/0.50  % (9611)------------------------------
% 0.16/0.50  % (9611)------------------------------
% 0.16/0.50  % (9606)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  % (9609)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)
% 0.16/0.51  % (9607)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.52  % (9620)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.16/0.52  % (9616)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.53  % (9621)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.53  % (9623)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)
% 0.16/0.53  % (9622)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)
% 0.16/0.53  % (9604)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)
% 0.16/0.53  % (9612)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)
% 0.16/0.53  % (9615)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.16/0.53  % (9614)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)
% 0.16/0.54  % (9628)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.16/0.54  % (9632)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)
% 0.16/0.54  % (9613)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.54  % (9619)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)
% 0.16/0.54  % (9625)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)
% 0.16/0.54  % (9629)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)
% 0.16/0.54  % (9631)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.54  % (9630)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)
% 0.16/0.55  % (9627)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.16/0.56  % (9608)Instruction limit reached!
% 0.16/0.56  % (9608)------------------------------
% 0.16/0.56  % (9608)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.56  % (9608)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.56  % (9608)Termination reason: Unknown
% 0.16/0.56  % (9608)Termination phase: Saturation
% 0.16/0.56  
% 0.16/0.56  % (9608)Memory used [KB]: 6396
% 0.16/0.56  % (9608)Time elapsed: 0.175 s
% 0.16/0.56  % (9608)Instructions burned: 48 (million)
% 0.16/0.56  % (9608)------------------------------
% 0.16/0.56  % (9608)------------------------------
% 0.16/0.61  TRYING [1]
% 0.16/0.62  % (9617)Instruction limit reached!
% 0.16/0.62  % (9617)------------------------------
% 0.16/0.62  % (9617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.62  % (9617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.62  % (9617)Termination reason: Unknown
% 0.16/0.62  % (9617)Termination phase: Saturation
% 0.16/0.62  
% 0.16/0.62  % (9617)Memory used [KB]: 7291
% 0.16/0.62  % (9617)Time elapsed: 0.069 s
% 0.16/0.62  % (9617)Instructions burned: 68 (million)
% 0.16/0.62  % (9617)------------------------------
% 0.16/0.62  % (9617)------------------------------
% 0.16/0.62  % (9605)Instruction limit reached!
% 0.16/0.62  % (9605)------------------------------
% 0.16/0.62  % (9605)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.62  % (9605)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.62  % (9605)Termination reason: Unknown
% 0.16/0.62  % (9605)Termination phase: Saturation
% 0.16/0.62  
% 0.16/0.62  % (9605)Memory used [KB]: 1791
% 0.16/0.62  % (9605)Time elapsed: 0.242 s
% 0.16/0.62  % (9605)Instructions burned: 37 (million)
% 0.16/0.62  % (9605)------------------------------
% 0.16/0.62  % (9605)------------------------------
% 0.16/0.62  TRYING [1]
% 0.16/0.62  % (9609)Instruction limit reached!
% 0.16/0.62  % (9609)------------------------------
% 0.16/0.62  % (9609)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.62  % (9609)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.62  % (9609)Termination reason: Unknown
% 0.16/0.62  % (9609)Termination phase: Finite model building constraint generation
% 0.16/0.62  
% 0.16/0.62  % (9609)Memory used [KB]: 6908
% 0.16/0.62  % (9609)Time elapsed: 0.247 s
% 0.16/0.62  % (9609)Instructions burned: 51 (million)
% 0.16/0.62  % (9609)------------------------------
% 0.16/0.62  % (9609)------------------------------
% 0.16/0.62  % (9618)Instruction limit reached!
% 0.16/0.62  % (9618)------------------------------
% 0.16/0.62  % (9618)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.62  % (9618)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.62  % (9618)Termination reason: Unknown
% 0.16/0.62  % (9618)Termination phase: Saturation
% 0.16/0.62  
% 0.16/0.62  % (9618)Memory used [KB]: 2430
% 0.16/0.62  % (9618)Time elapsed: 0.176 s
% 0.16/0.62  % (9618)Instructions burned: 75 (million)
% 0.16/0.62  % (9618)------------------------------
% 0.16/0.62  % (9618)------------------------------
% 2.28/0.64  TRYING [2]
% 2.28/0.64  % (9606)Instruction limit reached!
% 2.28/0.64  % (9606)------------------------------
% 2.28/0.64  % (9606)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.64  % (9606)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.64  % (9606)Termination reason: Unknown
% 2.28/0.64  % (9606)Termination phase: Saturation
% 2.28/0.64  
% 2.28/0.64  % (9606)Memory used [KB]: 6396
% 2.28/0.64  % (9606)Time elapsed: 0.269 s
% 2.28/0.64  % (9606)Instructions burned: 51 (million)
% 2.28/0.64  % (9606)------------------------------
% 2.28/0.64  % (9606)------------------------------
% 2.28/0.65  % (9604)Instruction limit reached!
% 2.28/0.65  % (9604)------------------------------
% 2.28/0.65  % (9604)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.65  % (9604)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.65  % (9604)Termination reason: Unknown
% 2.28/0.65  % (9604)Termination phase: Saturation
% 2.28/0.65  
% 2.28/0.65  % (9604)Memory used [KB]: 6524
% 2.28/0.65  % (9604)Time elapsed: 0.268 s
% 2.28/0.65  % (9604)Instructions burned: 50 (million)
% 2.28/0.65  % (9604)------------------------------
% 2.28/0.65  % (9604)------------------------------
% 2.60/0.65  % (9607)Instruction limit reached!
% 2.60/0.65  % (9607)------------------------------
% 2.60/0.65  % (9607)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.65  % (9607)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.65  % (9607)Termination reason: Unknown
% 2.60/0.65  % (9607)Termination phase: Saturation
% 2.60/0.65  
% 2.60/0.65  % (9607)Memory used [KB]: 6524
% 2.60/0.65  % (9607)Time elapsed: 0.278 s
% 2.60/0.65  % (9607)Instructions burned: 51 (million)
% 2.60/0.65  % (9607)------------------------------
% 2.60/0.65  % (9607)------------------------------
% 2.61/0.67  TRYING [1]
% 2.61/0.67  % (9620)Instruction limit reached!
% 2.61/0.67  % (9620)------------------------------
% 2.61/0.67  % (9620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.61/0.67  % (9620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.61/0.67  % (9620)Termination reason: Unknown
% 2.61/0.67  % (9620)Termination phase: Finite model building constraint generation
% 2.61/0.67  
% 2.61/0.67  % (9620)Memory used [KB]: 7164
% 2.61/0.67  % (9620)Time elapsed: 0.291 s
% 2.61/0.67  % (9620)Instructions burned: 59 (million)
% 2.61/0.67  % (9620)------------------------------
% 2.61/0.67  % (9620)------------------------------
% 2.61/0.68  % (9633)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)
% 2.61/0.68  % (9613)Instruction limit reached!
% 2.61/0.68  % (9613)------------------------------
% 2.61/0.68  % (9613)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.61/0.68  % (9613)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.61/0.68  % (9613)Termination reason: Unknown
% 2.61/0.68  % (9613)Termination phase: Saturation
% 2.61/0.68  
% 2.61/0.68  % (9613)Memory used [KB]: 6652
% 2.61/0.68  % (9613)Time elapsed: 0.309 s
% 2.61/0.68  % (9613)Instructions burned: 50 (million)
% 2.61/0.68  % (9613)------------------------------
% 2.61/0.68  % (9613)------------------------------
% 2.61/0.68  % (9612)Instruction limit reached!
% 2.61/0.68  % (9612)------------------------------
% 2.61/0.68  % (9612)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.61/0.68  % (9612)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.61/0.68  % (9612)Termination reason: Unknown
% 2.61/0.68  % (9612)Termination phase: Saturation
% 2.61/0.68  
% 2.61/0.68  % (9612)Memory used [KB]: 2302
% 2.61/0.68  % (9612)Time elapsed: 0.293 s
% 2.61/0.68  % (9612)Instructions burned: 51 (million)
% 2.61/0.68  % (9612)------------------------------
% 2.61/0.68  % (9612)------------------------------
% 2.91/0.72  % (9629)Instruction limit reached!
% 2.91/0.72  % (9629)------------------------------
% 2.91/0.72  % (9629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.91/0.72  % (9629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.91/0.72  % (9629)Termination reason: Unknown
% 2.91/0.72  % (9629)Termination phase: Saturation
% 2.91/0.72  
% 2.91/0.72  % (9629)Memory used [KB]: 7291
% 2.91/0.72  % (9629)Time elapsed: 0.055 s
% 2.91/0.72  % (9629)Instructions burned: 69 (million)
% 2.91/0.72  % (9629)------------------------------
% 2.91/0.72  % (9629)------------------------------
% 2.91/0.73  % (9634)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 (2998ds/211Mi)
% 3.19/0.75  % (9635)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)
% 3.19/0.75  TRYING [3]
% 3.19/0.77  % (9624)Instruction limit reached!
% 3.19/0.77  % (9624)------------------------------
% 3.19/0.77  % (9624)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.19/0.77  % (9624)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.19/0.77  % (9624)Termination reason: Unknown
% 3.19/0.77  % (9624)Termination phase: Saturation
% 3.19/0.77  
% 3.19/0.77  % (9624)Memory used [KB]: 7803
% 3.19/0.77  % (9624)Time elapsed: 0.393 s
% 3.19/0.77  % (9624)Instructions burned: 138 (million)
% 3.19/0.77  % (9624)------------------------------
% 3.19/0.77  % (9624)------------------------------
% 3.19/0.77  % (9614)Instruction limit reached!
% 3.19/0.77  % (9614)------------------------------
% 3.19/0.77  % (9614)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.19/0.77  % (9622)Instruction limit reached!
% 3.19/0.77  % (9622)------------------------------
% 3.19/0.77  % (9622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.19/0.77  % (9622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.19/0.77  % (9622)Termination reason: Unknown
% 3.19/0.77  % (9622)Termination phase: Saturation
% 3.19/0.77  
% 3.19/0.77  % (9622)Memory used [KB]: 2558
% 3.19/0.77  % (9622)Time elapsed: 0.371 s
% 3.19/0.77  % (9622)Instructions burned: 101 (million)
% 3.19/0.77  % (9622)------------------------------
% 3.19/0.77  % (9622)------------------------------
% 3.19/0.78  % (9614)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.19/0.78  % (9614)Termination reason: Unknown
% 3.19/0.78  % (9614)Termination phase: Saturation
% 3.19/0.78  
% 3.19/0.78  % (9614)Memory used [KB]: 7164
% 3.19/0.78  % (9614)Time elapsed: 0.385 s
% 3.19/0.78  % (9614)Instructions burned: 101 (million)
% 3.19/0.78  % (9614)------------------------------
% 3.19/0.78  % (9614)------------------------------
% 3.19/0.80  % (9621)Instruction limit reached!
% 3.19/0.80  % (9621)------------------------------
% 3.19/0.80  % (9621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.19/0.80  % (9621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.19/0.80  % (9621)Termination reason: Unknown
% 3.19/0.80  % (9621)Termination phase: Saturation
% 3.19/0.80  
% 3.19/0.80  % (9621)Memory used [KB]: 7291
% 3.19/0.80  % (9616)Instruction limit reached!
% 3.19/0.80  % (9616)------------------------------
% 3.19/0.80  % (9616)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.19/0.80  % (9621)Time elapsed: 0.423 s
% 3.19/0.80  % (9621)Instructions burned: 101 (million)
% 3.19/0.80  % (9616)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.19/0.80  % (9621)------------------------------
% 3.19/0.80  % (9621)------------------------------
% 3.19/0.80  % (9616)Termination reason: Unknown
% 3.19/0.80  % (9616)Termination phase: Saturation
% 3.19/0.80  
% 3.19/0.80  % (9616)Memory used [KB]: 7291
% 3.19/0.80  % (9616)Time elapsed: 0.428 s
% 3.19/0.80  % (9616)Instructions burned: 99 (million)
% 3.19/0.80  % (9616)------------------------------
% 3.19/0.80  % (9616)------------------------------
% 3.19/0.80  % (9637)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 3.19/0.82  % (9615)Instruction limit reached!
% 3.19/0.82  % (9615)------------------------------
% 3.19/0.82  % (9615)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.19/0.82  % (9615)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.19/0.82  % (9615)Termination reason: Unknown
% 3.19/0.82  % (9615)Termination phase: Saturation
% 3.19/0.82  
% 3.19/0.82  % (9615)Memory used [KB]: 7291
% 3.19/0.82  % (9615)Time elapsed: 0.449 s
% 3.19/0.82  % (9615)Instructions burned: 101 (million)
% 3.19/0.82  % (9615)------------------------------
% 3.19/0.82  % (9615)------------------------------
% 3.19/0.82  % (9619)Instruction limit reached!
% 3.19/0.82  % (9619)------------------------------
% 3.19/0.82  % (9619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.19/0.82  % (9619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.19/0.82  % (9619)Termination reason: Unknown
% 3.19/0.82  % (9619)Termination phase: Saturation
% 3.19/0.82  
% 3.19/0.82  % (9619)Memory used [KB]: 7036
% 3.19/0.82  % (9619)Time elapsed: 0.449 s
% 3.19/0.82  % (9619)Instructions burned: 99 (million)
% 3.19/0.82  % (9619)------------------------------
% 3.19/0.82  % (9619)------------------------------
% 3.19/0.84  % (9636)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 3.19/0.84  % (9638)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 (2996ds/747Mi)
% 3.19/0.84  % (9639)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 (2996ds/655Mi)
% 3.64/0.86  % (9640)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)
% 3.64/0.86  % (9641)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 (2996ds/940Mi)
% 3.64/0.89  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.64/0.89  % (9643)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 (2996ds/90Mi)
% 3.64/0.89  % (9642)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 (2996ds/981Mi)
% 3.81/0.90  % (9645)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 3.81/0.92  % (9644)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)
% 3.81/0.94  % (9630)Instruction limit reached!
% 3.81/0.94  % (9630)------------------------------
% 3.81/0.94  % (9630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.81/0.94  % (9630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.81/0.94  % (9630)Termination reason: Unknown
% 3.81/0.94  % (9630)Termination phase: Saturation
% 3.81/0.94  
% 3.81/0.94  % (9630)Memory used [KB]: 3965
% 3.81/0.94  % (9630)Time elapsed: 0.563 s
% 3.81/0.94  % (9630)Instructions burned: 177 (million)
% 3.81/0.94  % (9630)------------------------------
% 3.81/0.94  % (9630)------------------------------
% 4.00/0.95  % (9635)Instruction limit reached!
% 4.00/0.95  % (9635)------------------------------
% 4.00/0.95  % (9635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.00/0.95  % (9635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.00/0.95  % (9635)Termination reason: Unknown
% 4.00/0.95  % (9635)Termination phase: Saturation
% 4.00/0.95  
% 4.00/0.95  % (9635)Memory used [KB]: 7164
% 4.00/0.95  % (9635)Time elapsed: 0.278 s
% 4.00/0.95  % (9635)Instructions burned: 90 (million)
% 4.00/0.95  % (9635)------------------------------
% 4.00/0.95  % (9635)------------------------------
% 4.00/0.95  % (9648)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 4.00/0.96  % (9649)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 (2995ds/4931Mi)
% 4.00/0.96  % (9646)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)
% 4.00/0.99  % (9647)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 4.00/1.00  % (9623)Instruction limit reached!
% 4.00/1.00  % (9623)------------------------------
% 4.00/1.00  % (9623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.00/1.00  % (9623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.00/1.00  % (9623)Termination reason: Unknown
% 4.00/1.00  % (9623)Termination phase: Saturation
% 4.00/1.00  
% 4.00/1.00  % (9623)Memory used [KB]: 7803
% 4.00/1.00  % (9623)Time elapsed: 0.621 s
% 4.00/1.00  % (9623)Instructions burned: 176 (million)
% 4.00/1.00  % (9623)------------------------------
% 4.00/1.00  % (9623)------------------------------
% 4.13/1.03  % (9650)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 (2995ds/68Mi)
% 4.13/1.04  % (9651)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 (2995ds/1824Mi)
% 4.13/1.04  % (9652)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)
% 4.13/1.04  % (9640)Instruction limit reached!
% 4.13/1.04  % (9640)------------------------------
% 4.13/1.04  % (9640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.13/1.04  % (9640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.13/1.04  % (9640)Termination reason: Unknown
% 4.13/1.04  % (9640)Termination phase: Saturation
% 4.13/1.04  
% 4.13/1.04  % (9640)Memory used [KB]: 7164
% 4.13/1.04  % (9640)Time elapsed: 0.055 s
% 4.13/1.04  % (9640)Instructions burned: 68 (million)
% 4.13/1.04  % (9640)------------------------------
% 4.13/1.04  % (9640)------------------------------
% 4.28/1.06  % (9653)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 4.28/1.11  % (9643)Instruction limit reached!
% 4.28/1.11  % (9643)------------------------------
% 4.28/1.11  % (9643)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.28/1.12  % (9643)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.28/1.12  % (9643)Termination reason: Unknown
% 4.28/1.12  % (9643)Termination phase: Saturation
% 4.28/1.12  
% 4.28/1.12  % (9643)Memory used [KB]: 7036
% 4.28/1.12  % (9643)Time elapsed: 0.393 s
% 4.28/1.12  % (9643)Instructions burned: 91 (million)
% 4.28/1.12  % (9643)------------------------------
% 4.28/1.12  % (9643)------------------------------
% 4.28/1.15  % (9654)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/4585Mi)
% 6.65/1.20  % (9655)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 (2993ds/90Mi)
% 6.65/1.23  % (9650)Instruction limit reached!
% 6.65/1.23  % (9650)------------------------------
% 6.65/1.23  % (9650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.65/1.23  % (9650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.65/1.23  % (9650)Termination reason: Unknown
% 6.65/1.23  % (9650)Termination phase: Saturation
% 6.65/1.23  
% 6.65/1.23  % (9650)Memory used [KB]: 7291
% 6.65/1.23  % (9650)Time elapsed: 0.055 s
% 6.65/1.23  % (9650)Instructions burned: 68 (million)
% 6.65/1.23  % (9650)------------------------------
% 6.65/1.23  % (9650)------------------------------
% 7.17/1.27  % (9656)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 (2993ds/2016Mi)
% 7.54/1.30  % (9657)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/8004Mi)
% 7.54/1.32  % (9634)Instruction limit reached!
% 7.54/1.32  % (9634)------------------------------
% 7.54/1.32  % (9634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.54/1.32  % (9634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.54/1.32  % (9634)Termination reason: Unknown
% 7.54/1.32  % (9634)Termination phase: Saturation
% 7.54/1.32  
% 7.54/1.32  % (9634)Memory used [KB]: 4605
% 7.54/1.32  % (9634)Time elapsed: 0.759 s
% 7.54/1.32  % (9634)Instructions burned: 212 (million)
% 7.54/1.32  % (9634)------------------------------
% 7.54/1.32  % (9634)------------------------------
% 7.54/1.33  % (9658)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 (2992ds/9965Mi)
% 8.18/1.39  % (9626)First to succeed.
% 8.55/1.41  % (9626)Refutation found. Thanks to Tanya!
% 8.55/1.41  % SZS status Theorem for theBenchmark
% 8.55/1.41  % SZS output start Proof for theBenchmark
% See solution above
% 8.55/1.41  % (9626)------------------------------
% 8.55/1.41  % (9626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.55/1.41  % (9626)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.55/1.41  % (9626)Termination reason: Refutation
% 8.55/1.41  
% 8.55/1.41  % (9626)Memory used [KB]: 10362
% 8.55/1.41  % (9626)Time elapsed: 0.937 s
% 8.55/1.41  % (9626)Instructions burned: 357 (million)
% 8.55/1.41  % (9626)------------------------------
% 8.55/1.41  % (9626)------------------------------
% 8.55/1.41  % (9602)Success in time 1.08 s
%------------------------------------------------------------------------------