TSTP Solution File: SEU039+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU039+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_uns --cores 0 -t %d %s

% Computer : n018.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 18:26:25 EDT 2022

% Result   : Theorem 1.76s 0.58s
% Output   : Refutation 1.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   27
% Syntax   : Number of formulae    :  124 (  12 unt;   0 def)
%            Number of atoms       :  551 (  90 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  694 ( 267   ~; 263   |; 113   &)
%                                         (  25 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   18 (  16 usr;  12 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   3 con; 0-3 aty)
%            Number of variables   :  220 ( 186   !;  34   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f931,plain,
    $false,
    inference(avatar_sat_refutation,[],[f323,f332,f354,f613,f615,f617,f896,f898,f900,f905,f912,f930]) ).

fof(f930,plain,
    ~ spl19_1,
    inference(avatar_contradiction_clause,[],[f914]) ).

fof(f914,plain,
    ( $false
    | ~ spl19_1 ),
    inference(resolution,[],[f318,f253]) ).

fof(f253,plain,
    ~ empty(sK11),
    inference(resolution,[],[f207,f202]) ).

fof(f202,plain,
    in(sK12,sK11),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ( ~ in(apply(sK10,sK12),relation_rng(relation_dom_restriction(sK10,sK11)))
    & in(sK12,relation_dom(sK10))
    & relation(sK10)
    & function(sK10)
    & in(sK12,sK11) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f132,f133]) ).

fof(f133,plain,
    ( ? [X0,X1,X2] :
        ( ~ in(apply(X0,X2),relation_rng(relation_dom_restriction(X0,X1)))
        & in(X2,relation_dom(X0))
        & relation(X0)
        & function(X0)
        & in(X2,X1) )
   => ( ~ in(apply(sK10,sK12),relation_rng(relation_dom_restriction(sK10,sK11)))
      & in(sK12,relation_dom(sK10))
      & relation(sK10)
      & function(sK10)
      & in(sK12,sK11) ) ),
    introduced(choice_axiom,[]) ).

fof(f132,plain,
    ? [X0,X1,X2] :
      ( ~ in(apply(X0,X2),relation_rng(relation_dom_restriction(X0,X1)))
      & in(X2,relation_dom(X0))
      & relation(X0)
      & function(X0)
      & in(X2,X1) ),
    inference(rectify,[],[f89]) ).

fof(f89,plain,
    ? [X1,X2,X0] :
      ( ~ in(apply(X1,X0),relation_rng(relation_dom_restriction(X1,X2)))
      & in(X0,relation_dom(X1))
      & relation(X1)
      & function(X1)
      & in(X0,X2) ),
    inference(flattening,[],[f88]) ).

fof(f88,plain,
    ? [X0,X1,X2] :
      ( ~ in(apply(X1,X0),relation_rng(relation_dom_restriction(X1,X2)))
      & in(X0,X2)
      & in(X0,relation_dom(X1))
      & relation(X1)
      & function(X1) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,plain,
    ~ ! [X0,X1,X2] :
        ( ( relation(X1)
          & function(X1) )
       => ( ( in(X0,X2)
            & in(X0,relation_dom(X1)) )
         => in(apply(X1,X0),relation_rng(relation_dom_restriction(X1,X2))) ) ),
    inference(rectify,[],[f43]) ).

fof(f43,negated_conjecture,
    ~ ! [X1,X2,X0] :
        ( ( relation(X2)
          & function(X2) )
       => ( ( in(X1,relation_dom(X2))
            & in(X1,X0) )
         => in(apply(X2,X1),relation_rng(relation_dom_restriction(X2,X0))) ) ),
    inference(negated_conjecture,[],[f42]) ).

fof(f42,conjecture,
    ! [X1,X2,X0] :
      ( ( relation(X2)
        & function(X2) )
     => ( ( in(X1,relation_dom(X2))
          & in(X1,X0) )
       => in(apply(X2,X1),relation_rng(relation_dom_restriction(X2,X0))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t73_funct_1) ).

fof(f207,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | ~ empty(X1) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,axiom,
    ! [X0,X1] :
      ~ ( in(X0,X1)
        & empty(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).

fof(f318,plain,
    ( empty(sK11)
    | ~ spl19_1 ),
    inference(avatar_component_clause,[],[f316]) ).

fof(f316,plain,
    ( spl19_1
  <=> empty(sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_1])]) ).

fof(f912,plain,
    ( ~ spl19_10
    | ~ spl19_5
    | spl19_13 ),
    inference(avatar_split_clause,[],[f911,f893,f347,f609]) ).

fof(f609,plain,
    ( spl19_10
  <=> function(sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_10])]) ).

fof(f347,plain,
    ( spl19_5
  <=> relation(sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_5])]) ).

fof(f893,plain,
    ( spl19_13
  <=> function(relation_dom_restriction(sK10,sK11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_13])]) ).

fof(f911,plain,
    ( ~ relation(sK10)
    | ~ function(sK10)
    | spl19_13 ),
    inference(resolution,[],[f895,f150]) ).

fof(f150,plain,
    ! [X0,X1] :
      ( function(relation_dom_restriction(X0,X1))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ( relation(relation_dom_restriction(X0,X1))
        & function(relation_dom_restriction(X0,X1)) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(flattening,[],[f68]) ).

fof(f68,plain,
    ! [X1,X0] :
      ( ( relation(relation_dom_restriction(X0,X1))
        & function(relation_dom_restriction(X0,X1)) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X1,X0] :
      ( ( relation(X0)
        & function(X0) )
     => ( relation(relation_dom_restriction(X0,X1))
        & function(relation_dom_restriction(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_funct_1) ).

fof(f895,plain,
    ( ~ function(relation_dom_restriction(sK10,sK11))
    | spl19_13 ),
    inference(avatar_component_clause,[],[f893]) ).

fof(f905,plain,
    ( ~ spl19_10
    | ~ spl19_5
    | spl19_12 ),
    inference(avatar_split_clause,[],[f901,f889,f347,f609]) ).

fof(f889,plain,
    ( spl19_12
  <=> relation(relation_dom_restriction(sK10,sK11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_12])]) ).

fof(f901,plain,
    ( ~ relation(sK10)
    | ~ function(sK10)
    | spl19_12 ),
    inference(resolution,[],[f891,f151]) ).

fof(f151,plain,
    ! [X0,X1] :
      ( relation(relation_dom_restriction(X0,X1))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f891,plain,
    ( ~ relation(relation_dom_restriction(sK10,sK11))
    | spl19_12 ),
    inference(avatar_component_clause,[],[f889]) ).

fof(f900,plain,
    ( ~ spl19_5
    | ~ spl19_10
    | ~ spl19_4
    | ~ spl19_12
    | ~ spl19_13
    | ~ spl19_2
    | spl19_11 ),
    inference(avatar_split_clause,[],[f899,f885,f320,f893,f889,f329,f609,f347]) ).

fof(f329,plain,
    ( spl19_4
  <=> in(sK12,relation_dom(sK10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_4])]) ).

fof(f320,plain,
    ( spl19_2
  <=> in(sK12,sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_2])]) ).

fof(f885,plain,
    ( spl19_11
  <=> in(sK12,relation_dom(relation_dom_restriction(sK10,sK11))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_11])]) ).

fof(f899,plain,
    ( ~ in(sK12,sK11)
    | ~ function(relation_dom_restriction(sK10,sK11))
    | ~ relation(relation_dom_restriction(sK10,sK11))
    | ~ in(sK12,relation_dom(sK10))
    | ~ function(sK10)
    | ~ relation(sK10)
    | spl19_11 ),
    inference(resolution,[],[f887,f424]) ).

fof(f424,plain,
    ! [X2,X3,X1] :
      ( in(X3,relation_dom(relation_dom_restriction(X1,X2)))
      | ~ relation(X1)
      | ~ relation(relation_dom_restriction(X1,X2))
      | ~ function(X1)
      | ~ in(X3,relation_dom(X1))
      | ~ function(relation_dom_restriction(X1,X2))
      | ~ in(X3,X2) ),
    inference(superposition,[],[f228,f234]) ).

fof(f234,plain,
    ! [X2,X1] :
      ( relation_dom(relation_dom_restriction(X2,X1)) = set_intersection2(relation_dom(X2),X1)
      | ~ relation(relation_dom_restriction(X2,X1))
      | ~ function(X2)
      | ~ function(relation_dom_restriction(X2,X1))
      | ~ relation(X2) ),
    inference(equality_resolution,[],[f192]) ).

fof(f192,plain,
    ! [X2,X0,X1] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ~ function(X2)
      | relation_dom(X0) = set_intersection2(relation_dom(X2),X1)
      | relation_dom_restriction(X2,X1) != X0
      | ~ relation(X2) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ! [X2] :
          ( ~ function(X2)
          | ( ( relation_dom_restriction(X2,X1) = X0
              | ( in(sK8(X0,X2),relation_dom(X0))
                & apply(X0,sK8(X0,X2)) != apply(X2,sK8(X0,X2)) )
              | relation_dom(X0) != set_intersection2(relation_dom(X2),X1) )
            & ( ( ! [X4] :
                    ( ~ in(X4,relation_dom(X0))
                    | apply(X0,X4) = apply(X2,X4) )
                & relation_dom(X0) = set_intersection2(relation_dom(X2),X1) )
              | relation_dom_restriction(X2,X1) != X0 ) )
          | ~ relation(X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f125,f126]) ).

fof(f126,plain,
    ! [X0,X2] :
      ( ? [X3] :
          ( in(X3,relation_dom(X0))
          & apply(X0,X3) != apply(X2,X3) )
     => ( in(sK8(X0,X2),relation_dom(X0))
        & apply(X0,sK8(X0,X2)) != apply(X2,sK8(X0,X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f125,plain,
    ! [X0,X1] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ! [X2] :
          ( ~ function(X2)
          | ( ( relation_dom_restriction(X2,X1) = X0
              | ? [X3] :
                  ( in(X3,relation_dom(X0))
                  & apply(X0,X3) != apply(X2,X3) )
              | relation_dom(X0) != set_intersection2(relation_dom(X2),X1) )
            & ( ( ! [X4] :
                    ( ~ in(X4,relation_dom(X0))
                    | apply(X0,X4) = apply(X2,X4) )
                & relation_dom(X0) = set_intersection2(relation_dom(X2),X1) )
              | relation_dom_restriction(X2,X1) != X0 ) )
          | ~ relation(X2) ) ),
    inference(rectify,[],[f124]) ).

fof(f124,plain,
    ! [X0,X1] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ! [X2] :
          ( ~ function(X2)
          | ( ( relation_dom_restriction(X2,X1) = X0
              | ? [X3] :
                  ( in(X3,relation_dom(X0))
                  & apply(X0,X3) != apply(X2,X3) )
              | relation_dom(X0) != set_intersection2(relation_dom(X2),X1) )
            & ( ( ! [X3] :
                    ( ~ in(X3,relation_dom(X0))
                    | apply(X0,X3) = apply(X2,X3) )
                & relation_dom(X0) = set_intersection2(relation_dom(X2),X1) )
              | relation_dom_restriction(X2,X1) != X0 ) )
          | ~ relation(X2) ) ),
    inference(flattening,[],[f123]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ! [X2] :
          ( ~ function(X2)
          | ( ( relation_dom_restriction(X2,X1) = X0
              | ? [X3] :
                  ( in(X3,relation_dom(X0))
                  & apply(X0,X3) != apply(X2,X3) )
              | relation_dom(X0) != set_intersection2(relation_dom(X2),X1) )
            & ( ( ! [X3] :
                    ( ~ in(X3,relation_dom(X0))
                    | apply(X0,X3) = apply(X2,X3) )
                & relation_dom(X0) = set_intersection2(relation_dom(X2),X1) )
              | relation_dom_restriction(X2,X1) != X0 ) )
          | ~ relation(X2) ) ),
    inference(nnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ! [X2] :
          ( ~ function(X2)
          | ( relation_dom_restriction(X2,X1) = X0
          <=> ( ! [X3] :
                  ( ~ in(X3,relation_dom(X0))
                  | apply(X0,X3) = apply(X2,X3) )
              & relation_dom(X0) = set_intersection2(relation_dom(X2),X1) ) )
          | ~ relation(X2) ) ),
    inference(flattening,[],[f65]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( relation_dom_restriction(X2,X1) = X0
          <=> ( ! [X3] :
                  ( ~ in(X3,relation_dom(X0))
                  | apply(X0,X3) = apply(X2,X3) )
              & relation_dom(X0) = set_intersection2(relation_dom(X2),X1) ) )
          | ~ relation(X2)
          | ~ function(X2) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ( function(X0)
        & relation(X0) )
     => ! [X2] :
          ( ( relation(X2)
            & function(X2) )
         => ( ( relation_dom(X0) = set_intersection2(relation_dom(X2),X1)
              & ! [X3] :
                  ( in(X3,relation_dom(X0))
                 => apply(X0,X3) = apply(X2,X3) ) )
          <=> relation_dom_restriction(X2,X1) = X0 ) ) ),
    inference(rectify,[],[f39]) ).

fof(f39,axiom,
    ! [X1,X0] :
      ( ( relation(X1)
        & function(X1) )
     => ! [X2] :
          ( ( relation(X2)
            & function(X2) )
         => ( relation_dom_restriction(X2,X0) = X1
          <=> ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
              & ! [X3] :
                  ( in(X3,relation_dom(X1))
                 => apply(X1,X3) = apply(X2,X3) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t68_funct_1) ).

fof(f228,plain,
    ! [X2,X3,X1] :
      ( in(X3,set_intersection2(X1,X2))
      | ~ in(X3,X2)
      | ~ in(X3,X1) ),
    inference(equality_resolution,[],[f172]) ).

fof(f172,plain,
    ! [X2,X3,X0,X1] :
      ( in(X3,X0)
      | ~ in(X3,X1)
      | ~ in(X3,X2)
      | set_intersection2(X1,X2) != X0 ),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3] :
            ( ( ( in(X3,X1)
                & in(X3,X2) )
              | ~ in(X3,X0) )
            & ( in(X3,X0)
              | ~ in(X3,X1)
              | ~ in(X3,X2) ) )
        | set_intersection2(X1,X2) != X0 )
      & ( set_intersection2(X1,X2) = X0
        | ( ( ~ in(sK2(X0,X1,X2),X0)
            | ~ in(sK2(X0,X1,X2),X1)
            | ~ in(sK2(X0,X1,X2),X2) )
          & ( in(sK2(X0,X1,X2),X0)
            | ( in(sK2(X0,X1,X2),X1)
              & in(sK2(X0,X1,X2),X2) ) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f109,f110]) ).

fof(f110,plain,
    ! [X0,X1,X2] :
      ( ? [X4] :
          ( ( ~ in(X4,X0)
            | ~ in(X4,X1)
            | ~ in(X4,X2) )
          & ( in(X4,X0)
            | ( in(X4,X1)
              & in(X4,X2) ) ) )
     => ( ( ~ in(sK2(X0,X1,X2),X0)
          | ~ in(sK2(X0,X1,X2),X1)
          | ~ in(sK2(X0,X1,X2),X2) )
        & ( in(sK2(X0,X1,X2),X0)
          | ( in(sK2(X0,X1,X2),X1)
            & in(sK2(X0,X1,X2),X2) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f109,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3] :
            ( ( ( in(X3,X1)
                & in(X3,X2) )
              | ~ in(X3,X0) )
            & ( in(X3,X0)
              | ~ in(X3,X1)
              | ~ in(X3,X2) ) )
        | set_intersection2(X1,X2) != X0 )
      & ( set_intersection2(X1,X2) = X0
        | ? [X4] :
            ( ( ~ in(X4,X0)
              | ~ in(X4,X1)
              | ~ in(X4,X2) )
            & ( in(X4,X0)
              | ( in(X4,X1)
                & in(X4,X2) ) ) ) ) ),
    inference(rectify,[],[f108]) ).

fof(f108,plain,
    ! [X0,X2,X1] :
      ( ( ! [X3] :
            ( ( ( in(X3,X2)
                & in(X3,X1) )
              | ~ in(X3,X0) )
            & ( in(X3,X0)
              | ~ in(X3,X2)
              | ~ in(X3,X1) ) )
        | set_intersection2(X2,X1) != X0 )
      & ( set_intersection2(X2,X1) = X0
        | ? [X3] :
            ( ( ~ in(X3,X0)
              | ~ in(X3,X2)
              | ~ in(X3,X1) )
            & ( in(X3,X0)
              | ( in(X3,X2)
                & in(X3,X1) ) ) ) ) ),
    inference(flattening,[],[f107]) ).

fof(f107,plain,
    ! [X0,X2,X1] :
      ( ( ! [X3] :
            ( ( ( in(X3,X2)
                & in(X3,X1) )
              | ~ in(X3,X0) )
            & ( in(X3,X0)
              | ~ in(X3,X2)
              | ~ in(X3,X1) ) )
        | set_intersection2(X2,X1) != X0 )
      & ( set_intersection2(X2,X1) = X0
        | ? [X3] :
            ( ( ~ in(X3,X0)
              | ~ in(X3,X2)
              | ~ in(X3,X1) )
            & ( in(X3,X0)
              | ( in(X3,X2)
                & in(X3,X1) ) ) ) ) ),
    inference(nnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0,X2,X1] :
      ( ! [X3] :
          ( ( in(X3,X2)
            & in(X3,X1) )
        <=> in(X3,X0) )
    <=> set_intersection2(X2,X1) = X0 ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X2,X1,X0] :
      ( ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X1)
            & in(X3,X0) ) )
    <=> set_intersection2(X0,X1) = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).

fof(f887,plain,
    ( ~ in(sK12,relation_dom(relation_dom_restriction(sK10,sK11)))
    | spl19_11 ),
    inference(avatar_component_clause,[],[f885]) ).

fof(f898,plain,
    spl19_10,
    inference(avatar_contradiction_clause,[],[f897]) ).

fof(f897,plain,
    ( $false
    | spl19_10 ),
    inference(resolution,[],[f611,f203]) ).

fof(f203,plain,
    function(sK10),
    inference(cnf_transformation,[],[f134]) ).

fof(f611,plain,
    ( ~ function(sK10)
    | spl19_10 ),
    inference(avatar_component_clause,[],[f609]) ).

fof(f896,plain,
    ( ~ spl19_11
    | ~ spl19_5
    | ~ spl19_10
    | ~ spl19_12
    | ~ spl19_13 ),
    inference(avatar_split_clause,[],[f871,f893,f889,f609,f347,f885]) ).

fof(f871,plain,
    ( ~ function(relation_dom_restriction(sK10,sK11))
    | ~ relation(relation_dom_restriction(sK10,sK11))
    | ~ function(sK10)
    | ~ relation(sK10)
    | ~ in(sK12,relation_dom(relation_dom_restriction(sK10,sK11))) ),
    inference(resolution,[],[f467,f206]) ).

fof(f206,plain,
    ~ in(apply(sK10,sK12),relation_rng(relation_dom_restriction(sK10,sK11))),
    inference(cnf_transformation,[],[f134]) ).

fof(f467,plain,
    ! [X8,X9,X7] :
      ( in(apply(X7,X9),relation_rng(relation_dom_restriction(X7,X8)))
      | ~ relation(X7)
      | ~ function(X7)
      | ~ relation(relation_dom_restriction(X7,X8))
      | ~ in(X9,relation_dom(relation_dom_restriction(X7,X8)))
      | ~ function(relation_dom_restriction(X7,X8)) ),
    inference(duplicate_literal_removal,[],[f462]) ).

fof(f462,plain,
    ! [X8,X9,X7] :
      ( ~ relation(relation_dom_restriction(X7,X8))
      | ~ relation(X7)
      | ~ function(X7)
      | ~ function(relation_dom_restriction(X7,X8))
      | ~ in(X9,relation_dom(relation_dom_restriction(X7,X8)))
      | in(apply(X7,X9),relation_rng(relation_dom_restriction(X7,X8)))
      | ~ function(relation_dom_restriction(X7,X8))
      | ~ relation(relation_dom_restriction(X7,X8))
      | ~ in(X9,relation_dom(relation_dom_restriction(X7,X8))) ),
    inference(superposition,[],[f232,f233]) ).

fof(f233,plain,
    ! [X2,X1,X4] :
      ( apply(X2,X4) = apply(relation_dom_restriction(X2,X1),X4)
      | ~ function(relation_dom_restriction(X2,X1))
      | ~ relation(X2)
      | ~ function(X2)
      | ~ relation(relation_dom_restriction(X2,X1))
      | ~ in(X4,relation_dom(relation_dom_restriction(X2,X1))) ),
    inference(equality_resolution,[],[f193]) ).

fof(f193,plain,
    ! [X2,X0,X1,X4] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ~ function(X2)
      | ~ in(X4,relation_dom(X0))
      | apply(X0,X4) = apply(X2,X4)
      | relation_dom_restriction(X2,X1) != X0
      | ~ relation(X2) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f232,plain,
    ! [X0,X4] :
      ( in(apply(X0,X4),relation_rng(X0))
      | ~ function(X0)
      | ~ relation(X0)
      | ~ in(X4,relation_dom(X0)) ),
    inference(equality_resolution,[],[f231]) ).

fof(f231,plain,
    ! [X0,X1,X4] :
      ( in(apply(X0,X4),X1)
      | ~ in(X4,relation_dom(X0))
      | relation_rng(X0) != X1
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f179]) ).

fof(f179,plain,
    ! [X2,X0,X1,X4] :
      ( in(X2,X1)
      | apply(X0,X4) != X2
      | ~ in(X4,relation_dom(X0))
      | relation_rng(X0) != X1
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ! [X2] :
                ( ( ( apply(X0,sK3(X0,X2)) = X2
                    & in(sK3(X0,X2),relation_dom(X0)) )
                  | ~ in(X2,X1) )
                & ( in(X2,X1)
                  | ! [X4] :
                      ( apply(X0,X4) != X2
                      | ~ in(X4,relation_dom(X0)) ) ) )
            | relation_rng(X0) != X1 )
          & ( relation_rng(X0) = X1
            | ( ( ~ in(sK4(X0,X1),X1)
                | ! [X6] :
                    ( apply(X0,X6) != sK4(X0,X1)
                    | ~ in(X6,relation_dom(X0)) ) )
              & ( in(sK4(X0,X1),X1)
                | ( apply(X0,sK5(X0,X1)) = sK4(X0,X1)
                  & in(sK5(X0,X1),relation_dom(X0)) ) ) ) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f113,f116,f115,f114]) ).

fof(f114,plain,
    ! [X0,X2] :
      ( ? [X3] :
          ( apply(X0,X3) = X2
          & in(X3,relation_dom(X0)) )
     => ( apply(X0,sK3(X0,X2)) = X2
        & in(sK3(X0,X2),relation_dom(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f115,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( ( ~ in(X5,X1)
            | ! [X6] :
                ( apply(X0,X6) != X5
                | ~ in(X6,relation_dom(X0)) ) )
          & ( in(X5,X1)
            | ? [X7] :
                ( apply(X0,X7) = X5
                & in(X7,relation_dom(X0)) ) ) )
     => ( ( ~ in(sK4(X0,X1),X1)
          | ! [X6] :
              ( apply(X0,X6) != sK4(X0,X1)
              | ~ in(X6,relation_dom(X0)) ) )
        & ( in(sK4(X0,X1),X1)
          | ? [X7] :
              ( sK4(X0,X1) = apply(X0,X7)
              & in(X7,relation_dom(X0)) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( ? [X7] :
          ( sK4(X0,X1) = apply(X0,X7)
          & in(X7,relation_dom(X0)) )
     => ( apply(X0,sK5(X0,X1)) = sK4(X0,X1)
        & in(sK5(X0,X1),relation_dom(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f113,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ! [X2] :
                ( ( ? [X3] :
                      ( apply(X0,X3) = X2
                      & in(X3,relation_dom(X0)) )
                  | ~ in(X2,X1) )
                & ( in(X2,X1)
                  | ! [X4] :
                      ( apply(X0,X4) != X2
                      | ~ in(X4,relation_dom(X0)) ) ) )
            | relation_rng(X0) != X1 )
          & ( relation_rng(X0) = X1
            | ? [X5] :
                ( ( ~ in(X5,X1)
                  | ! [X6] :
                      ( apply(X0,X6) != X5
                      | ~ in(X6,relation_dom(X0)) ) )
                & ( in(X5,X1)
                  | ? [X7] :
                      ( apply(X0,X7) = X5
                      & in(X7,relation_dom(X0)) ) ) ) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(rectify,[],[f112]) ).

fof(f112,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ! [X2] :
                ( ( ? [X3] :
                      ( apply(X0,X3) = X2
                      & in(X3,relation_dom(X0)) )
                  | ~ in(X2,X1) )
                & ( in(X2,X1)
                  | ! [X3] :
                      ( apply(X0,X3) != X2
                      | ~ in(X3,relation_dom(X0)) ) ) )
            | relation_rng(X0) != X1 )
          & ( relation_rng(X0) = X1
            | ? [X2] :
                ( ( ~ in(X2,X1)
                  | ! [X3] :
                      ( apply(X0,X3) != X2
                      | ~ in(X3,relation_dom(X0)) ) )
                & ( in(X2,X1)
                  | ? [X3] :
                      ( apply(X0,X3) = X2
                      & in(X3,relation_dom(X0)) ) ) ) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ? [X3] :
                  ( apply(X0,X3) = X2
                  & in(X3,relation_dom(X0)) )
            <=> in(X2,X1) )
        <=> relation_rng(X0) = X1 )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(flattening,[],[f61]) ).

fof(f61,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ? [X3] :
                  ( apply(X0,X3) = X2
                  & in(X3,relation_dom(X0)) )
            <=> in(X2,X1) )
        <=> relation_rng(X0) = X1 )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(ennf_transformation,[],[f7]) ).

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

fof(f617,plain,
    ( ~ spl19_6
    | spl19_9 ),
    inference(avatar_split_clause,[],[f616,f605,f351]) ).

fof(f351,plain,
    ( spl19_6
  <=> empty(sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_6])]) ).

fof(f605,plain,
    ( spl19_9
  <=> empty(relation_rng(sK10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_9])]) ).

fof(f616,plain,
    ( ~ empty(sK10)
    | spl19_9 ),
    inference(resolution,[],[f607,f184]) ).

fof(f184,plain,
    ! [X0] :
      ( empty(relation_rng(X0))
      | ~ empty(X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0] :
      ( ( relation(relation_rng(X0))
        & empty(relation_rng(X0)) )
      | ~ empty(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( empty(X0)
     => ( relation(relation_rng(X0))
        & empty(relation_rng(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc8_relat_1) ).

fof(f607,plain,
    ( ~ empty(relation_rng(sK10))
    | spl19_9 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f615,plain,
    spl19_5,
    inference(avatar_contradiction_clause,[],[f614]) ).

fof(f614,plain,
    ( $false
    | spl19_5 ),
    inference(resolution,[],[f349,f204]) ).

fof(f204,plain,
    relation(sK10),
    inference(cnf_transformation,[],[f134]) ).

fof(f349,plain,
    ( ~ relation(sK10)
    | spl19_5 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f613,plain,
    ( ~ spl19_5
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(avatar_split_clause,[],[f601,f609,f605,f347]) ).

fof(f601,plain,
    ( ~ function(sK10)
    | ~ empty(relation_rng(sK10))
    | ~ relation(sK10) ),
    inference(resolution,[],[f380,f205]) ).

fof(f205,plain,
    in(sK12,relation_dom(sK10)),
    inference(cnf_transformation,[],[f134]) ).

fof(f380,plain,
    ! [X4,X5] :
      ( ~ in(X5,relation_dom(X4))
      | ~ empty(relation_rng(X4))
      | ~ function(X4)
      | ~ relation(X4) ),
    inference(resolution,[],[f232,f207]) ).

fof(f354,plain,
    ( ~ spl19_5
    | spl19_6
    | ~ spl19_3 ),
    inference(avatar_split_clause,[],[f339,f325,f351,f347]) ).

fof(f325,plain,
    ( spl19_3
  <=> empty(relation_dom(sK10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_3])]) ).

fof(f339,plain,
    ( empty(sK10)
    | ~ relation(sK10)
    | ~ spl19_3 ),
    inference(resolution,[],[f327,f225]) ).

fof(f225,plain,
    ! [X0] :
      ( ~ empty(relation_dom(X0))
      | empty(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0] :
      ( ~ empty(relation_dom(X0))
      | empty(X0)
      | ~ relation(X0) ),
    inference(flattening,[],[f80]) ).

fof(f80,plain,
    ! [X0] :
      ( ~ empty(relation_dom(X0))
      | empty(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X0] :
      ( ( ~ empty(X0)
        & relation(X0) )
     => ~ empty(relation_dom(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_relat_1) ).

fof(f327,plain,
    ( empty(relation_dom(sK10))
    | ~ spl19_3 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f332,plain,
    ( spl19_3
    | spl19_4 ),
    inference(avatar_split_clause,[],[f314,f329,f325]) ).

fof(f314,plain,
    ( in(sK12,relation_dom(sK10))
    | empty(relation_dom(sK10)) ),
    inference(resolution,[],[f208,f283]) ).

fof(f283,plain,
    element(sK12,relation_dom(sK10)),
    inference(resolution,[],[f183,f205]) ).

fof(f183,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | element(X0,X1) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | element(X0,X1) ),
    inference(rectify,[],[f97]) ).

fof(f97,plain,
    ! [X1,X0] :
      ( ~ in(X1,X0)
      | element(X1,X0) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X1,X0] :
      ( in(X1,X0)
     => element(X1,X0) ),
    inference(rectify,[],[f33]) ).

fof(f33,axiom,
    ! [X1,X0] :
      ( in(X0,X1)
     => element(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).

fof(f208,plain,
    ! [X0,X1] :
      ( ~ element(X0,X1)
      | empty(X1)
      | in(X0,X1) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ! [X0,X1] :
      ( empty(X1)
      | in(X0,X1)
      | ~ element(X0,X1) ),
    inference(rectify,[],[f95]) ).

fof(f95,plain,
    ! [X1,X0] :
      ( empty(X0)
      | in(X1,X0)
      | ~ element(X1,X0) ),
    inference(flattening,[],[f94]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( in(X1,X0)
      | empty(X0)
      | ~ element(X1,X0) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( element(X1,X0)
     => ( in(X1,X0)
        | empty(X0) ) ),
    inference(rectify,[],[f35]) ).

fof(f35,axiom,
    ! [X1,X0] :
      ( element(X0,X1)
     => ( in(X0,X1)
        | empty(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).

fof(f323,plain,
    ( spl19_1
    | spl19_2 ),
    inference(avatar_split_clause,[],[f313,f320,f316]) ).

fof(f313,plain,
    ( in(sK12,sK11)
    | empty(sK11) ),
    inference(resolution,[],[f208,f282]) ).

fof(f282,plain,
    element(sK12,sK11),
    inference(resolution,[],[f183,f202]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SEU039+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 14:41:25 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (20720)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.51  % (20712)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51  % (20712)Instruction limit reached!
% 0.20/0.51  % (20712)------------------------------
% 0.20/0.51  % (20712)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (20712)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (20712)Termination reason: Unknown
% 0.20/0.51  % (20712)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (20712)Memory used [KB]: 6140
% 0.20/0.51  % (20712)Time elapsed: 0.092 s
% 0.20/0.51  % (20712)Instructions burned: 7 (million)
% 0.20/0.51  % (20712)------------------------------
% 0.20/0.51  % (20712)------------------------------
% 0.20/0.51  % (20719)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.52  % (20704)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.52  % (20698)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.52  % (20697)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52  % (20702)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.53  % (20701)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53  % (20700)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (20699)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53  % (20703)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.53  % (20699)Instruction limit reached!
% 0.20/0.53  % (20699)------------------------------
% 0.20/0.53  % (20699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (20699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (20699)Termination reason: Unknown
% 0.20/0.53  % (20699)Termination phase: Property scanning
% 0.20/0.53  
% 0.20/0.53  % (20699)Memory used [KB]: 1535
% 0.20/0.53  % (20699)Time elapsed: 0.002 s
% 0.20/0.53  % (20699)Instructions burned: 3 (million)
% 0.20/0.53  % (20699)------------------------------
% 0.20/0.53  % (20699)------------------------------
% 0.20/0.53  % (20706)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.53  % (20707)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.53  % (20709)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.53  % (20708)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53  % (20707)Refutation not found, incomplete strategy% (20707)------------------------------
% 0.20/0.53  % (20707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (20707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (20707)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (20726)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.53  % (20707)Memory used [KB]: 6140
% 0.20/0.53  % (20707)Time elapsed: 0.135 s
% 0.20/0.53  % (20707)Instructions burned: 5 (million)
% 0.20/0.53  % (20707)------------------------------
% 0.20/0.53  % (20707)------------------------------
% 0.20/0.53  % (20711)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54  % (20711)Instruction limit reached!
% 0.20/0.54  % (20711)------------------------------
% 0.20/0.54  % (20711)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (20711)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (20711)Termination reason: Unknown
% 0.20/0.54  % (20711)Termination phase: Property scanning
% 0.20/0.54  
% 0.20/0.54  % (20711)Memory used [KB]: 1535
% 0.20/0.54  % (20711)Time elapsed: 0.003 s
% 0.20/0.54  % (20711)Instructions burned: 3 (million)
% 0.20/0.54  % (20711)------------------------------
% 0.20/0.54  % (20711)------------------------------
% 0.20/0.54  % (20708)Instruction limit reached!
% 0.20/0.54  % (20708)------------------------------
% 0.20/0.54  % (20708)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (20708)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (20708)Termination reason: Unknown
% 0.20/0.54  % (20708)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (20708)Memory used [KB]: 6140
% 0.20/0.54  % (20708)Time elapsed: 0.136 s
% 0.20/0.54  % (20708)Instructions burned: 8 (million)
% 0.20/0.54  % (20708)------------------------------
% 0.20/0.54  % (20708)------------------------------
% 0.20/0.54  % (20713)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54  % (20722)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.54  % (20723)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (20724)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.54  % (20718)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (20705)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.54  % (20725)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.54  % (20715)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54  % (20715)Instruction limit reached!
% 0.20/0.54  % (20715)------------------------------
% 0.20/0.54  % (20715)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (20715)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (20715)Termination reason: Unknown
% 0.20/0.54  % (20715)Termination phase: Preprocessing 3
% 0.20/0.54  
% 0.20/0.54  % (20715)Memory used [KB]: 1407
% 0.20/0.54  % (20715)Time elapsed: 0.002 s
% 0.20/0.54  % (20715)Instructions burned: 2 (million)
% 0.20/0.54  % (20715)------------------------------
% 0.20/0.54  % (20715)------------------------------
% 0.20/0.54  % (20716)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.55  % (20710)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55  % (20717)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.56/0.55  % (20702)Instruction limit reached!
% 1.56/0.55  % (20702)------------------------------
% 1.56/0.55  % (20702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.55  % (20702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.55  % (20702)Termination reason: Unknown
% 1.56/0.55  % (20702)Termination phase: Saturation
% 1.56/0.55  
% 1.56/0.55  % (20702)Memory used [KB]: 1791
% 1.56/0.55  % (20702)Time elapsed: 0.156 s
% 1.56/0.55  % (20702)Instructions burned: 17 (million)
% 1.56/0.55  % (20702)------------------------------
% 1.56/0.55  % (20702)------------------------------
% 1.56/0.55  % (20714)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.56/0.55  % (20721)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.56/0.55  % (20720)Instruction limit reached!
% 1.56/0.55  % (20720)------------------------------
% 1.56/0.55  % (20720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56  % (20701)Instruction limit reached!
% 1.56/0.56  % (20701)------------------------------
% 1.56/0.56  % (20701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56  % (20701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56  % (20701)Termination reason: Unknown
% 1.56/0.56  % (20701)Termination phase: Saturation
% 1.56/0.56  
% 1.56/0.56  % (20701)Memory used [KB]: 6140
% 1.56/0.56  % (20701)Time elapsed: 0.159 s
% 1.56/0.56  % (20701)Instructions burned: 13 (million)
% 1.56/0.56  % (20701)------------------------------
% 1.56/0.56  % (20701)------------------------------
% 1.56/0.56  % (20709)Instruction limit reached!
% 1.56/0.56  % (20709)------------------------------
% 1.56/0.56  % (20709)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56  % (20709)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56  % (20709)Termination reason: Unknown
% 1.56/0.56  % (20709)Termination phase: Saturation
% 1.56/0.56  
% 1.56/0.56  % (20709)Memory used [KB]: 1663
% 1.56/0.56  % (20709)Time elapsed: 0.139 s
% 1.56/0.56  % (20709)Instructions burned: 16 (million)
% 1.56/0.56  % (20709)------------------------------
% 1.56/0.56  % (20709)------------------------------
% 1.56/0.56  % (20720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56  % (20720)Termination reason: Unknown
% 1.56/0.56  % (20720)Termination phase: Saturation
% 1.56/0.56  
% 1.56/0.56  % (20720)Memory used [KB]: 2174
% 1.56/0.56  % (20720)Time elapsed: 0.130 s
% 1.56/0.56  % (20720)Instructions burned: 45 (million)
% 1.56/0.56  % (20720)------------------------------
% 1.56/0.56  % (20720)------------------------------
% 1.56/0.56  % (20698)Instruction limit reached!
% 1.56/0.56  % (20698)------------------------------
% 1.56/0.56  % (20698)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56  % (20698)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56  % (20698)Termination reason: Unknown
% 1.56/0.56  % (20698)Termination phase: Saturation
% 1.56/0.56  
% 1.56/0.56  % (20698)Memory used [KB]: 6268
% 1.56/0.56  % (20698)Time elapsed: 0.157 s
% 1.56/0.56  % (20698)Instructions burned: 13 (million)
% 1.56/0.56  % (20698)------------------------------
% 1.56/0.56  % (20698)------------------------------
% 1.56/0.56  % (20725)Instruction limit reached!
% 1.56/0.56  % (20725)------------------------------
% 1.56/0.56  % (20725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56  % (20725)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56  % (20725)Termination reason: Unknown
% 1.56/0.56  % (20725)Termination phase: Saturation
% 1.56/0.56  
% 1.56/0.56  % (20725)Memory used [KB]: 6140
% 1.56/0.56  % (20725)Time elapsed: 0.149 s
% 1.56/0.56  % (20725)Instructions burned: 8 (million)
% 1.56/0.56  % (20725)------------------------------
% 1.56/0.56  % (20725)------------------------------
% 1.56/0.56  % (20714)Instruction limit reached!
% 1.56/0.56  % (20714)------------------------------
% 1.56/0.56  % (20714)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56  % (20714)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56  % (20714)Termination reason: Unknown
% 1.56/0.56  % (20714)Termination phase: Finite model building preprocessing
% 1.56/0.56  
% 1.56/0.56  % (20714)Memory used [KB]: 1535
% 1.56/0.56  % (20714)Time elapsed: 0.003 s
% 1.56/0.56  % (20714)Instructions burned: 4 (million)
% 1.56/0.56  % (20714)------------------------------
% 1.56/0.56  % (20714)------------------------------
% 1.56/0.57  % (20716)Instruction limit reached!
% 1.56/0.57  % (20716)------------------------------
% 1.56/0.57  % (20716)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.57  % (20716)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.57  % (20716)Termination reason: Unknown
% 1.56/0.57  % (20716)Termination phase: Saturation
% 1.56/0.57  
% 1.56/0.57  % (20716)Memory used [KB]: 6268
% 1.56/0.57  % (20716)Time elapsed: 0.153 s
% 1.56/0.57  % (20716)Instructions burned: 11 (million)
% 1.56/0.57  % (20716)------------------------------
% 1.56/0.57  % (20716)------------------------------
% 1.76/0.57  % (20719)First to succeed.
% 1.76/0.58  % (20719)Refutation found. Thanks to Tanya!
% 1.76/0.58  % SZS status Theorem for theBenchmark
% 1.76/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.76/0.58  % (20719)------------------------------
% 1.76/0.58  % (20719)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.58  % (20719)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.58  % (20719)Termination reason: Refutation
% 1.76/0.58  
% 1.76/0.58  % (20719)Memory used [KB]: 6396
% 1.76/0.58  % (20719)Time elapsed: 0.117 s
% 1.76/0.58  % (20719)Instructions burned: 24 (million)
% 1.76/0.58  % (20719)------------------------------
% 1.76/0.58  % (20719)------------------------------
% 1.76/0.58  % (20696)Success in time 0.224 s
%------------------------------------------------------------------------------