TSTP Solution File: SEU225+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU225+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n016.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 18:32:39 EDT 2022

% Result   : Theorem 1.72s 0.58s
% Output   : Refutation 1.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   87 (  12 unt;   0 def)
%            Number of atoms       :  345 (  85 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  421 ( 163   ~; 167   |;  60   &)
%                                         (  14 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   7 con; 0-2 aty)
%            Number of variables   :  126 ( 113   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f532,plain,
    $false,
    inference(avatar_sat_refutation,[],[f353,f510,f526]) ).

fof(f526,plain,
    ( spl16_6
    | ~ spl16_3 ),
    inference(avatar_split_clause,[],[f525,f322,f337]) ).

fof(f337,plain,
    ( spl16_6
  <=> in(sK10,relation_dom(sF13)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_6])]) ).

fof(f322,plain,
    ( spl16_3
  <=> in(sK10,relation_dom(sK11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).

fof(f525,plain,
    ( in(sK10,relation_dom(sF13))
    | ~ spl16_3 ),
    inference(subsumption_resolution,[],[f487,f190]) ).

fof(f190,plain,
    in(sK10,sK9),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ( function(sK11)
    & in(sK10,sK9)
    & relation(sK11)
    & apply(relation_dom_restriction(sK11,sK9),sK10) != apply(sK11,sK10) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f89,f125]) ).

fof(f125,plain,
    ( ? [X0,X1,X2] :
        ( function(X2)
        & in(X1,X0)
        & relation(X2)
        & apply(relation_dom_restriction(X2,X0),X1) != apply(X2,X1) )
   => ( function(sK11)
      & in(sK10,sK9)
      & relation(sK11)
      & apply(relation_dom_restriction(sK11,sK9),sK10) != apply(sK11,sK10) ) ),
    introduced(choice_axiom,[]) ).

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

fof(f88,plain,
    ? [X1,X2,X0] :
      ( apply(relation_dom_restriction(X2,X0),X1) != apply(X2,X1)
      & in(X1,X0)
      & function(X2)
      & relation(X2) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,negated_conjecture,
    ~ ! [X1,X2,X0] :
        ( ( function(X2)
          & relation(X2) )
       => ( in(X1,X0)
         => apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1) ) ),
    inference(negated_conjecture,[],[f45]) ).

fof(f45,conjecture,
    ! [X1,X2,X0] :
      ( ( function(X2)
        & relation(X2) )
     => ( in(X1,X0)
       => apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t72_funct_1) ).

fof(f487,plain,
    ( in(sK10,relation_dom(sF13))
    | ~ in(sK10,sK9)
    | ~ spl16_3 ),
    inference(resolution,[],[f301,f323]) ).

fof(f323,plain,
    ( in(sK10,relation_dom(sK11))
    | ~ spl16_3 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f301,plain,
    ! [X0] :
      ( ~ in(X0,relation_dom(sK11))
      | ~ in(X0,sK9)
      | in(X0,relation_dom(sF13)) ),
    inference(subsumption_resolution,[],[f300,f191]) ).

fof(f191,plain,
    function(sK11),
    inference(cnf_transformation,[],[f126]) ).

fof(f300,plain,
    ! [X0] :
      ( in(X0,relation_dom(sF13))
      | ~ in(X0,relation_dom(sK11))
      | ~ function(sK11)
      | ~ in(X0,sK9) ),
    inference(subsumption_resolution,[],[f297,f189]) ).

fof(f189,plain,
    relation(sK11),
    inference(cnf_transformation,[],[f126]) ).

fof(f297,plain,
    ! [X0] :
      ( in(X0,relation_dom(sF13))
      | ~ relation(sK11)
      | ~ function(sK11)
      | ~ in(X0,sK9)
      | ~ in(X0,relation_dom(sK11)) ),
    inference(superposition,[],[f183,f204]) ).

fof(f204,plain,
    sF13 = relation_dom_restriction(sK11,sK9),
    introduced(function_definition,[]) ).

fof(f183,plain,
    ! [X2,X0,X1] :
      ( in(X2,relation_dom(relation_dom_restriction(X0,X1)))
      | ~ in(X2,X1)
      | ~ function(X0)
      | ~ in(X2,relation_dom(X0))
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ! [X0,X1,X2] :
      ( ~ relation(X0)
      | ~ function(X0)
      | ( ( in(X2,relation_dom(relation_dom_restriction(X0,X1)))
          | ~ in(X2,X1)
          | ~ in(X2,relation_dom(X0)) )
        & ( ( in(X2,X1)
            & in(X2,relation_dom(X0)) )
          | ~ in(X2,relation_dom(relation_dom_restriction(X0,X1))) ) ) ),
    inference(rectify,[],[f121]) ).

fof(f121,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X2)
      | ~ function(X2)
      | ( ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
          | ~ in(X1,X0)
          | ~ in(X1,relation_dom(X2)) )
        & ( ( in(X1,X0)
            & in(X1,relation_dom(X2)) )
          | ~ in(X1,relation_dom(relation_dom_restriction(X2,X0))) ) ) ),
    inference(flattening,[],[f120]) ).

fof(f120,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X2)
      | ~ function(X2)
      | ( ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
          | ~ in(X1,X0)
          | ~ in(X1,relation_dom(X2)) )
        & ( ( in(X1,X0)
            & in(X1,relation_dom(X2)) )
          | ~ in(X1,relation_dom(relation_dom_restriction(X2,X0))) ) ) ),
    inference(nnf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X2)
      | ~ function(X2)
      | ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
      <=> ( in(X1,X0)
          & in(X1,relation_dom(X2)) ) ) ),
    inference(flattening,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1,X2] :
      ( ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
      <=> ( in(X1,X0)
          & in(X1,relation_dom(X2)) ) )
      | ~ relation(X2)
      | ~ function(X2) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,axiom,
    ! [X0,X1,X2] :
      ( ( relation(X2)
        & function(X2) )
     => ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
      <=> ( in(X1,X0)
          & in(X1,relation_dom(X2)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l82_funct_1) ).

fof(f510,plain,
    ~ spl16_6,
    inference(avatar_contradiction_clause,[],[f509]) ).

fof(f509,plain,
    ( $false
    | ~ spl16_6 ),
    inference(subsumption_resolution,[],[f508,f207]) ).

fof(f207,plain,
    sF14 != sF15,
    inference(definition_folding,[],[f188,f206,f205,f204]) ).

fof(f205,plain,
    sF14 = apply(sF13,sK10),
    introduced(function_definition,[]) ).

fof(f206,plain,
    sF15 = apply(sK11,sK10),
    introduced(function_definition,[]) ).

fof(f188,plain,
    apply(relation_dom_restriction(sK11,sK9),sK10) != apply(sK11,sK10),
    inference(cnf_transformation,[],[f126]) ).

fof(f508,plain,
    ( sF14 = sF15
    | ~ spl16_6 ),
    inference(forward_demodulation,[],[f507,f205]) ).

fof(f507,plain,
    ( apply(sF13,sK10) = sF15
    | ~ spl16_6 ),
    inference(forward_demodulation,[],[f503,f206]) ).

fof(f503,plain,
    ( apply(sF13,sK10) = apply(sK11,sK10)
    | ~ spl16_6 ),
    inference(resolution,[],[f376,f338]) ).

fof(f338,plain,
    ( in(sK10,relation_dom(sF13))
    | ~ spl16_6 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f376,plain,
    ! [X0] :
      ( ~ in(X0,relation_dom(sF13))
      | apply(sF13,X0) = apply(sK11,X0) ),
    inference(subsumption_resolution,[],[f375,f191]) ).

fof(f375,plain,
    ! [X0] :
      ( ~ in(X0,relation_dom(sF13))
      | ~ function(sK11)
      | apply(sF13,X0) = apply(sK11,X0) ),
    inference(subsumption_resolution,[],[f374,f189]) ).

fof(f374,plain,
    ! [X0] :
      ( ~ relation(sK11)
      | ~ function(sK11)
      | ~ in(X0,relation_dom(sF13))
      | apply(sF13,X0) = apply(sK11,X0) ),
    inference(subsumption_resolution,[],[f368,f238]) ).

fof(f238,plain,
    relation(sF13),
    inference(subsumption_resolution,[],[f237,f189]) ).

fof(f237,plain,
    ( ~ relation(sK11)
    | relation(sF13) ),
    inference(superposition,[],[f155,f204]) ).

fof(f155,plain,
    ! [X0,X1] :
      ( relation(relation_dom_restriction(X0,X1))
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | relation(relation_dom_restriction(X0,X1)) ),
    inference(rectify,[],[f68]) ).

fof(f68,plain,
    ! [X1,X0] :
      ( ~ relation(X1)
      | relation(relation_dom_restriction(X1,X0)) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X1,X0] :
      ( relation(X1)
     => relation(relation_dom_restriction(X1,X0)) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X1,X0] :
      ( relation(X0)
     => relation(relation_dom_restriction(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_relat_1) ).

fof(f368,plain,
    ! [X0] :
      ( ~ relation(sF13)
      | ~ in(X0,relation_dom(sF13))
      | apply(sF13,X0) = apply(sK11,X0)
      | ~ relation(sK11)
      | ~ function(sK11) ),
    inference(superposition,[],[f209,f204]) ).

fof(f209,plain,
    ! [X2,X3,X0] :
      ( ~ in(X3,relation_dom(relation_dom_restriction(X2,X0)))
      | apply(X2,X3) = apply(relation_dom_restriction(X2,X0),X3)
      | ~ relation(X2)
      | ~ relation(relation_dom_restriction(X2,X0))
      | ~ function(X2) ),
    inference(subsumption_resolution,[],[f203,f150]) ).

fof(f150,plain,
    ! [X0,X1] :
      ( function(relation_dom_restriction(X0,X1))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | ~ function(X0)
      | ( function(relation_dom_restriction(X0,X1))
        & relation(relation_dom_restriction(X0,X1)) ) ),
    inference(rectify,[],[f67]) ).

fof(f67,plain,
    ! [X1,X0] :
      ( ~ relation(X1)
      | ~ function(X1)
      | ( function(relation_dom_restriction(X1,X0))
        & relation(relation_dom_restriction(X1,X0)) ) ),
    inference(flattening,[],[f66]) ).

fof(f66,plain,
    ! [X1,X0] :
      ( ( function(relation_dom_restriction(X1,X0))
        & relation(relation_dom_restriction(X1,X0)) )
      | ~ relation(X1)
      | ~ function(X1) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X1,X0] :
      ( ( relation(X1)
        & function(X1) )
     => ( function(relation_dom_restriction(X1,X0))
        & relation(relation_dom_restriction(X1,X0)) ) ),
    inference(rectify,[],[f26]) ).

fof(f26,axiom,
    ! [X1,X0] :
      ( ( function(X0)
        & relation(X0) )
     => ( function(relation_dom_restriction(X0,X1))
        & relation(relation_dom_restriction(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_funct_1) ).

fof(f203,plain,
    ! [X2,X3,X0] :
      ( ~ in(X3,relation_dom(relation_dom_restriction(X2,X0)))
      | ~ relation(relation_dom_restriction(X2,X0))
      | ~ function(relation_dom_restriction(X2,X0))
      | apply(X2,X3) = apply(relation_dom_restriction(X2,X0),X3)
      | ~ function(X2)
      | ~ relation(X2) ),
    inference(equality_resolution,[],[f194]) ).

fof(f194,plain,
    ! [X2,X3,X0,X1] :
      ( ~ relation(X2)
      | ~ in(X3,relation_dom(X1))
      | apply(X1,X3) = apply(X2,X3)
      | relation_dom_restriction(X2,X0) != X1
      | ~ function(X2)
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ~ relation(X2)
          | ( ( ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
                & ! [X3] :
                    ( ~ in(X3,relation_dom(X1))
                    | apply(X1,X3) = apply(X2,X3) ) )
              | relation_dom_restriction(X2,X0) != X1 )
            & ( relation_dom_restriction(X2,X0) = X1
              | relation_dom(X1) != set_intersection2(relation_dom(X2),X0)
              | ( in(sK12(X1,X2),relation_dom(X1))
                & apply(X2,sK12(X1,X2)) != apply(X1,sK12(X1,X2)) ) ) )
          | ~ function(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f129,f130]) ).

fof(f130,plain,
    ! [X1,X2] :
      ( ? [X4] :
          ( in(X4,relation_dom(X1))
          & apply(X1,X4) != apply(X2,X4) )
     => ( in(sK12(X1,X2),relation_dom(X1))
        & apply(X2,sK12(X1,X2)) != apply(X1,sK12(X1,X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f129,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ~ relation(X2)
          | ( ( ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
                & ! [X3] :
                    ( ~ in(X3,relation_dom(X1))
                    | apply(X1,X3) = apply(X2,X3) ) )
              | relation_dom_restriction(X2,X0) != X1 )
            & ( relation_dom_restriction(X2,X0) = X1
              | relation_dom(X1) != set_intersection2(relation_dom(X2),X0)
              | ? [X4] :
                  ( in(X4,relation_dom(X1))
                  & apply(X1,X4) != apply(X2,X4) ) ) )
          | ~ function(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(rectify,[],[f128]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ~ relation(X2)
          | ( ( ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
                & ! [X3] :
                    ( ~ in(X3,relation_dom(X1))
                    | apply(X1,X3) = apply(X2,X3) ) )
              | relation_dom_restriction(X2,X0) != X1 )
            & ( 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) ) ) )
          | ~ function(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(flattening,[],[f127]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ~ relation(X2)
          | ( ( ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
                & ! [X3] :
                    ( ~ in(X3,relation_dom(X1))
                    | apply(X1,X3) = apply(X2,X3) ) )
              | relation_dom_restriction(X2,X0) != X1 )
            & ( 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) ) ) )
          | ~ function(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(nnf_transformation,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ~ relation(X2)
          | ( ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
              & ! [X3] :
                  ( ~ in(X3,relation_dom(X1))
                  | apply(X1,X3) = apply(X2,X3) ) )
          <=> relation_dom_restriction(X2,X0) = X1 )
          | ~ function(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(flattening,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
              & ! [X3] :
                  ( ~ in(X3,relation_dom(X1))
                  | apply(X1,X3) = apply(X2,X3) ) )
          <=> relation_dom_restriction(X2,X0) = X1 )
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ relation(X1)
      | ~ function(X1) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,axiom,
    ! [X0,X1] :
      ( ( relation(X1)
        & function(X1) )
     => ! [X2] :
          ( ( function(X2)
            & relation(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(f353,plain,
    ( spl16_3
    | spl16_6 ),
    inference(avatar_contradiction_clause,[],[f352]) ).

fof(f352,plain,
    ( $false
    | spl16_3
    | spl16_6 ),
    inference(subsumption_resolution,[],[f351,f347]) ).

fof(f347,plain,
    ( empty_set != sF14
    | spl16_3 ),
    inference(backward_demodulation,[],[f207,f346]) ).

fof(f346,plain,
    ( empty_set = sF15
    | spl16_3 ),
    inference(backward_demodulation,[],[f206,f345]) ).

fof(f345,plain,
    ( empty_set = apply(sK11,sK10)
    | spl16_3 ),
    inference(subsumption_resolution,[],[f344,f191]) ).

fof(f344,plain,
    ( empty_set = apply(sK11,sK10)
    | ~ function(sK11)
    | spl16_3 ),
    inference(subsumption_resolution,[],[f343,f189]) ).

fof(f343,plain,
    ( empty_set = apply(sK11,sK10)
    | ~ relation(sK11)
    | ~ function(sK11)
    | spl16_3 ),
    inference(resolution,[],[f324,f199]) ).

fof(f199,plain,
    ! [X0,X1] :
      ( in(X1,relation_dom(X0))
      | ~ relation(X0)
      | apply(X0,X1) = empty_set
      | ~ function(X0) ),
    inference(equality_resolution,[],[f168]) ).

fof(f168,plain,
    ! [X2,X0,X1] :
      ( apply(X0,X1) = X2
      | empty_set != X2
      | in(X1,relation_dom(X0))
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ( ( apply(X0,X1) = X2
                | empty_set != X2 )
              & ( empty_set = X2
                | apply(X0,X1) != X2 ) )
            | in(X1,relation_dom(X0)) )
          & ( ( ( apply(X0,X1) = X2
                | ~ in(ordered_pair(X1,X2),X0) )
              & ( in(ordered_pair(X1,X2),X0)
                | apply(X0,X1) != X2 ) )
            | ~ in(X1,relation_dom(X0)) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(nnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ( apply(X0,X1) = X2
            <=> empty_set = X2 )
            | in(X1,relation_dom(X0)) )
          & ( ( apply(X0,X1) = X2
            <=> in(ordered_pair(X1,X2),X0) )
            | ~ in(X1,relation_dom(X0)) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(flattening,[],[f77]) ).

fof(f77,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ( apply(X0,X1) = X2
            <=> empty_set = X2 )
            | in(X1,relation_dom(X0)) )
          & ( ( apply(X0,X1) = X2
            <=> in(ordered_pair(X1,X2),X0) )
            | ~ in(X1,relation_dom(X0)) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ! [X1,X2] :
          ( ( ~ in(X1,relation_dom(X0))
           => ( apply(X0,X1) = X2
            <=> empty_set = X2 ) )
          & ( in(X1,relation_dom(X0))
           => ( apply(X0,X1) = X2
            <=> in(ordered_pair(X1,X2),X0) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_funct_1) ).

fof(f324,plain,
    ( ~ in(sK10,relation_dom(sK11))
    | spl16_3 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f351,plain,
    ( empty_set = sF14
    | spl16_6 ),
    inference(backward_demodulation,[],[f205,f350]) ).

fof(f350,plain,
    ( empty_set = apply(sF13,sK10)
    | spl16_6 ),
    inference(subsumption_resolution,[],[f349,f238]) ).

fof(f349,plain,
    ( empty_set = apply(sF13,sK10)
    | ~ relation(sF13)
    | spl16_6 ),
    inference(subsumption_resolution,[],[f348,f264]) ).

fof(f264,plain,
    function(sF13),
    inference(subsumption_resolution,[],[f263,f191]) ).

fof(f263,plain,
    ( function(sF13)
    | ~ function(sK11) ),
    inference(subsumption_resolution,[],[f262,f189]) ).

fof(f262,plain,
    ( function(sF13)
    | ~ relation(sK11)
    | ~ function(sK11) ),
    inference(superposition,[],[f150,f204]) ).

fof(f348,plain,
    ( empty_set = apply(sF13,sK10)
    | ~ function(sF13)
    | ~ relation(sF13)
    | spl16_6 ),
    inference(resolution,[],[f339,f199]) ).

fof(f339,plain,
    ( ~ in(sK10,relation_dom(sF13))
    | spl16_6 ),
    inference(avatar_component_clause,[],[f337]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SEU225+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 15:15:31 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.48  % (12461)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.49  % (12468)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)
% 0.19/0.51  % (12476)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)
% 0.19/0.52  % (12458)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)
% 0.19/0.52  % (12449)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)
% 0.19/0.52  % (12463)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)
% 0.19/0.52  % (12453)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (12466)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53  % (12471)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)
% 0.19/0.53  % (12455)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)
% 0.19/0.53  % (12464)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)
% 0.19/0.53  % (12451)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)
% 0.19/0.53  % (12474)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53  % (12470)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53  % (12465)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)
% 0.19/0.53  % (12450)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)
% 0.19/0.54  % (12454)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)
% 0.19/0.54  % (12472)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)
% 0.19/0.54  % (12467)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54  % (12450)Refutation not found, incomplete strategy% (12450)------------------------------
% 0.19/0.54  % (12450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (12450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (12450)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (12450)Memory used [KB]: 5628
% 0.19/0.54  % (12450)Time elapsed: 0.135 s
% 0.19/0.54  % (12450)Instructions burned: 8 (million)
% 0.19/0.54  % (12450)------------------------------
% 0.19/0.54  % (12450)------------------------------
% 0.19/0.54  % (12478)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)
% 0.19/0.54  % (12475)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)
% 0.19/0.54  % (12459)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54  % (12452)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)
% 0.19/0.54  TRYING [1]
% 0.19/0.54  TRYING [2]
% 0.19/0.54  % (12456)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54  % (12460)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)
% 0.19/0.54  % (12457)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54  % (12457)Instruction limit reached!
% 0.19/0.54  % (12457)------------------------------
% 0.19/0.54  % (12457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (12457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (12457)Termination reason: Unknown
% 0.19/0.54  % (12457)Termination phase: shuffling
% 0.19/0.54  
% 0.19/0.54  % (12457)Memory used [KB]: 895
% 0.19/0.54  % (12457)Time elapsed: 0.002 s
% 0.19/0.54  % (12457)Instructions burned: 2 (million)
% 0.19/0.54  % (12457)------------------------------
% 0.19/0.54  % (12457)------------------------------
% 0.19/0.55  % (12469)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)
% 0.19/0.55  TRYING [3]
% 0.19/0.55  % (12477)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.55  % (12473)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.55  % (12462)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55  TRYING [1]
% 1.59/0.56  TRYING [1]
% 1.59/0.56  TRYING [2]
% 1.59/0.56  TRYING [2]
% 1.59/0.56  TRYING [3]
% 1.59/0.56  TRYING [3]
% 1.72/0.58  % (12456)Instruction limit reached!
% 1.72/0.58  % (12456)------------------------------
% 1.72/0.58  % (12456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.58  % (12456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.58  % (12456)Termination reason: Unknown
% 1.72/0.58  % (12456)Termination phase: Saturation
% 1.72/0.58  
% 1.72/0.58  % (12456)Memory used [KB]: 5500
% 1.72/0.58  % (12456)Time elapsed: 0.181 s
% 1.72/0.58  % (12456)Instructions burned: 7 (million)
% 1.72/0.58  % (12456)------------------------------
% 1.72/0.58  % (12456)------------------------------
% 1.72/0.58  % (12473)First to succeed.
% 1.72/0.58  % (12473)Refutation found. Thanks to Tanya!
% 1.72/0.58  % SZS status Theorem for theBenchmark
% 1.72/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.72/0.58  % (12473)------------------------------
% 1.72/0.58  % (12473)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.58  % (12473)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.58  % (12473)Termination reason: Refutation
% 1.72/0.58  
% 1.72/0.58  % (12473)Memory used [KB]: 5756
% 1.72/0.58  % (12473)Time elapsed: 0.180 s
% 1.72/0.58  % (12473)Instructions burned: 14 (million)
% 1.72/0.58  % (12473)------------------------------
% 1.72/0.58  % (12473)------------------------------
% 1.72/0.58  % (12448)Success in time 0.23 s
%------------------------------------------------------------------------------