TSTP Solution File: SET708+4 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET708+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 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 : n008.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 18:25:24 EDT 2022

% Result   : Theorem 0.20s 0.59s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   15
% Syntax   : Number of formulae    :  130 (  20 unt;   0 def)
%            Number of atoms       :  517 (  37 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  613 ( 226   ~; 218   |; 123   &)
%                                         (  18 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   8 prp; 0-6 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-5 aty)
%            Number of variables   :  339 ( 284   !;  55   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f604,plain,
    $false,
    inference(avatar_sat_refutation,[],[f319,f343,f356,f389,f456,f463,f565,f603]) ).

fof(f603,plain,
    ~ spl20_25,
    inference(avatar_contradiction_clause,[],[f602]) ).

fof(f602,plain,
    ( $false
    | ~ spl20_25 ),
    inference(subsumption_resolution,[],[f601,f179]) ).

fof(f179,plain,
    ~ equal_maps(sK9,sK11,sK12,sK13),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ( compose_predicate(sK11,sK14,sK10,sK12,sK15,sK13)
    & maps(sK10,sK12,sK15)
    & maps(sK14,sK15,sK13)
    & compose_predicate(sK9,sK14,sK10,sK12,sK15,sK13)
    & ~ equal_maps(sK9,sK11,sK12,sK13) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12,sK13,sK14,sK15])],[f121,f122]) ).

fof(f122,plain,
    ( ? [X0,X1,X2,X3,X4,X5,X6] :
        ( compose_predicate(X2,X5,X1,X3,X6,X4)
        & maps(X1,X3,X6)
        & maps(X5,X6,X4)
        & compose_predicate(X0,X5,X1,X3,X6,X4)
        & ~ equal_maps(X0,X2,X3,X4) )
   => ( compose_predicate(sK11,sK14,sK10,sK12,sK15,sK13)
      & maps(sK10,sK12,sK15)
      & maps(sK14,sK15,sK13)
      & compose_predicate(sK9,sK14,sK10,sK12,sK15,sK13)
      & ~ equal_maps(sK9,sK11,sK12,sK13) ) ),
    introduced(choice_axiom,[]) ).

fof(f121,plain,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( compose_predicate(X2,X5,X1,X3,X6,X4)
      & maps(X1,X3,X6)
      & maps(X5,X6,X4)
      & compose_predicate(X0,X5,X1,X3,X6,X4)
      & ~ equal_maps(X0,X2,X3,X4) ),
    inference(rectify,[],[f71]) ).

fof(f71,plain,
    ? [X4,X6,X1,X3,X2,X0,X5] :
      ( compose_predicate(X1,X0,X6,X3,X5,X2)
      & maps(X6,X3,X5)
      & maps(X0,X5,X2)
      & compose_predicate(X4,X0,X6,X3,X5,X2)
      & ~ equal_maps(X4,X1,X3,X2) ),
    inference(flattening,[],[f70]) ).

fof(f70,plain,
    ? [X0,X3,X6,X5,X1,X2,X4] :
      ( ~ equal_maps(X4,X1,X3,X2)
      & maps(X6,X3,X5)
      & compose_predicate(X1,X0,X6,X3,X5,X2)
      & maps(X0,X5,X2)
      & compose_predicate(X4,X0,X6,X3,X5,X2) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f48,plain,
    ~ ! [X0,X3,X6,X5,X1,X2,X4] :
        ( ( maps(X6,X3,X5)
          & compose_predicate(X1,X0,X6,X3,X5,X2)
          & maps(X0,X5,X2)
          & compose_predicate(X4,X0,X6,X3,X5,X2) )
       => equal_maps(X4,X1,X3,X2) ),
    inference(rectify,[],[f30]) ).

fof(f30,negated_conjecture,
    ~ ! [X9,X17,X10,X0,X16,X1,X5] :
        ( ( maps(X9,X1,X10)
          & maps(X5,X0,X1)
          & compose_predicate(X16,X9,X5,X0,X1,X10)
          & compose_predicate(X17,X9,X5,X0,X1,X10) )
       => equal_maps(X16,X17,X0,X10) ),
    inference(negated_conjecture,[],[f29]) ).

fof(f29,conjecture,
    ! [X9,X17,X10,X0,X16,X1,X5] :
      ( ( maps(X9,X1,X10)
        & maps(X5,X0,X1)
        & compose_predicate(X16,X9,X5,X0,X1,X10)
        & compose_predicate(X17,X9,X5,X0,X1,X10) )
     => equal_maps(X16,X17,X0,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thII01a) ).

fof(f601,plain,
    ( equal_maps(sK9,sK11,sK12,sK13)
    | ~ spl20_25 ),
    inference(trivial_inequality_removal,[],[f600]) ).

fof(f600,plain,
    ( sK16(sK9,sK11,sK13,sK12) != sK16(sK9,sK11,sK13,sK12)
    | equal_maps(sK9,sK11,sK12,sK13)
    | ~ spl20_25 ),
    inference(superposition,[],[f191,f562]) ).

fof(f562,plain,
    ( sK17(sK9,sK11,sK13,sK12) = sK16(sK9,sK11,sK13,sK12)
    | ~ spl20_25 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f560,plain,
    ( spl20_25
  <=> sK17(sK9,sK11,sK13,sK12) = sK16(sK9,sK11,sK13,sK12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_25])]) ).

fof(f191,plain,
    ! [X2,X3,X0,X1] :
      ( sK17(X0,X1,X2,X3) != sK16(X0,X1,X2,X3)
      | equal_maps(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ! [X0,X1,X2,X3] :
      ( ( member(sK16(X0,X1,X2,X3),X2)
        & sK17(X0,X1,X2,X3) != sK16(X0,X1,X2,X3)
        & member(sK17(X0,X1,X2,X3),X2)
        & apply(X1,sK18(X0,X1,X2,X3),sK16(X0,X1,X2,X3))
        & member(sK18(X0,X1,X2,X3),X3)
        & apply(X0,sK18(X0,X1,X2,X3),sK17(X0,X1,X2,X3)) )
      | equal_maps(X0,X1,X3,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18])],[f127,f128]) ).

fof(f128,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4,X5,X6] :
          ( member(X4,X2)
          & X4 != X5
          & member(X5,X2)
          & apply(X1,X6,X4)
          & member(X6,X3)
          & apply(X0,X6,X5) )
     => ( member(sK16(X0,X1,X2,X3),X2)
        & sK17(X0,X1,X2,X3) != sK16(X0,X1,X2,X3)
        & member(sK17(X0,X1,X2,X3),X2)
        & apply(X1,sK18(X0,X1,X2,X3),sK16(X0,X1,X2,X3))
        & member(sK18(X0,X1,X2,X3),X3)
        & apply(X0,sK18(X0,X1,X2,X3),sK17(X0,X1,X2,X3)) ) ),
    introduced(choice_axiom,[]) ).

fof(f127,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4,X5,X6] :
          ( member(X4,X2)
          & X4 != X5
          & member(X5,X2)
          & apply(X1,X6,X4)
          & member(X6,X3)
          & apply(X0,X6,X5) )
      | equal_maps(X0,X1,X3,X2) ),
    inference(rectify,[],[f67]) ).

fof(f67,plain,
    ! [X2,X1,X0,X3] :
      ( ? [X4,X5,X6] :
          ( member(X4,X0)
          & X4 != X5
          & member(X5,X0)
          & apply(X1,X6,X4)
          & member(X6,X3)
          & apply(X2,X6,X5) )
      | equal_maps(X2,X1,X3,X0) ),
    inference(flattening,[],[f66]) ).

fof(f66,plain,
    ! [X1,X3,X2,X0] :
      ( equal_maps(X2,X1,X3,X0)
      | ? [X4,X6,X5] :
          ( X4 != X5
          & apply(X2,X6,X5)
          & apply(X1,X6,X4)
          & member(X4,X0)
          & member(X6,X3)
          & member(X5,X0) ) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X1,X3,X2,X0] :
      ( ! [X4,X6,X5] :
          ( ( member(X4,X0)
            & member(X6,X3)
            & member(X5,X0) )
         => ( ( apply(X2,X6,X5)
              & apply(X1,X6,X4) )
           => X4 = X5 ) )
     => equal_maps(X2,X1,X3,X0) ),
    inference(unused_predicate_definition_removal,[],[f52]) ).

fof(f52,plain,
    ! [X1,X3,X2,X0] :
      ( equal_maps(X2,X1,X3,X0)
    <=> ! [X4,X6,X5] :
          ( ( member(X4,X0)
            & member(X6,X3)
            & member(X5,X0) )
         => ( ( apply(X2,X6,X5)
              & apply(X1,X6,X4) )
           => X4 = X5 ) ) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X1,X9,X5,X0] :
      ( equal_maps(X5,X9,X0,X1)
    <=> ! [X7,X6,X2] :
          ( ( member(X7,X1)
            & member(X6,X1)
            & member(X2,X0) )
         => ( ( apply(X9,X2,X7)
              & apply(X5,X2,X6) )
           => X6 = X7 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_maps) ).

fof(f565,plain,
    ( spl20_25
    | ~ spl20_2
    | ~ spl20_4
    | ~ spl20_11
    | ~ spl20_18 ),
    inference(avatar_split_clause,[],[f564,f460,f317,f259,f243,f560]) ).

fof(f243,plain,
    ( spl20_2
  <=> member(sK7(sK15,sK10,sK18(sK9,sK11,sK13,sK12)),sK15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).

fof(f259,plain,
    ( spl20_4
  <=> member(sK0(sK15,sK14,sK10,sK17(sK9,sK11,sK13,sK12),sK18(sK9,sK11,sK13,sK12)),sK15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_4])]) ).

fof(f317,plain,
    ( spl20_11
  <=> ! [X0] :
        ( sK17(sK9,sK11,sK13,sK12) = X0
        | ~ member(X0,sK13)
        | ~ apply(sK14,sK0(sK15,sK14,sK10,sK17(sK9,sK11,sK13,sK12),sK18(sK9,sK11,sK13,sK12)),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_11])]) ).

fof(f460,plain,
    ( spl20_18
  <=> sK7(sK15,sK10,sK18(sK9,sK11,sK13,sK12)) = sK0(sK15,sK14,sK10,sK16(sK9,sK11,sK13,sK12),sK18(sK9,sK11,sK13,sK12)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_18])]) ).

fof(f564,plain,
    ( sK17(sK9,sK11,sK13,sK12) = sK16(sK9,sK11,sK13,sK12)
    | ~ spl20_2
    | ~ spl20_4
    | ~ spl20_11
    | ~ spl20_18 ),
    inference(subsumption_resolution,[],[f552,f208]) ).

fof(f208,plain,
    member(sK16(sK9,sK11,sK13,sK12),sK13),
    inference(resolution,[],[f192,f179]) ).

fof(f192,plain,
    ! [X2,X3,X0,X1] :
      ( equal_maps(X0,X1,X3,X2)
      | member(sK16(X0,X1,X2,X3),X2) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f552,plain,
    ( sK17(sK9,sK11,sK13,sK12) = sK16(sK9,sK11,sK13,sK12)
    | ~ member(sK16(sK9,sK11,sK13,sK12),sK13)
    | ~ spl20_2
    | ~ spl20_4
    | ~ spl20_11
    | ~ spl20_18 ),
    inference(resolution,[],[f487,f401]) ).

fof(f401,plain,
    ( ! [X0] :
        ( ~ apply(sK14,sK7(sK15,sK10,sK18(sK9,sK11,sK13,sK12)),X0)
        | sK17(sK9,sK11,sK13,sK12) = X0
        | ~ member(X0,sK13) )
    | ~ spl20_2
    | ~ spl20_4
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f318,f357]) ).

fof(f357,plain,
    ( sK7(sK15,sK10,sK18(sK9,sK11,sK13,sK12)) = sK0(sK15,sK14,sK10,sK17(sK9,sK11,sK13,sK12),sK18(sK9,sK11,sK13,sK12))
    | ~ spl20_2
    | ~ spl20_4 ),
    inference(subsumption_resolution,[],[f346,f260]) ).

fof(f260,plain,
    ( member(sK0(sK15,sK14,sK10,sK17(sK9,sK11,sK13,sK12),sK18(sK9,sK11,sK13,sK12)),sK15)
    | ~ spl20_4 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f346,plain,
    ( sK7(sK15,sK10,sK18(sK9,sK11,sK13,sK12)) = sK0(sK15,sK14,sK10,sK17(sK9,sK11,sK13,sK12),sK18(sK9,sK11,sK13,sK12))
    | ~ member(sK0(sK15,sK14,sK10,sK17(sK9,sK11,sK13,sK12),sK18(sK9,sK11,sK13,sK12)),sK15)
    | ~ spl20_2 ),
    inference(resolution,[],[f344,f293]) ).

fof(f293,plain,
    apply(sK10,sK18(sK9,sK11,sK13,sK12),sK0(sK15,sK14,sK10,sK17(sK9,sK11,sK13,sK12),sK18(sK9,sK11,sK13,sK12))),
    inference(subsumption_resolution,[],[f292,f207]) ).

fof(f207,plain,
    member(sK17(sK9,sK11,sK13,sK12),sK13),
    inference(resolution,[],[f190,f179]) ).

fof(f190,plain,
    ! [X2,X3,X0,X1] :
      ( equal_maps(X0,X1,X3,X2)
      | member(sK17(X0,X1,X2,X3),X2) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f292,plain,
    ( apply(sK10,sK18(sK9,sK11,sK13,sK12),sK0(sK15,sK14,sK10,sK17(sK9,sK11,sK13,sK12),sK18(sK9,sK11,sK13,sK12)))
    | ~ member(sK17(sK9,sK11,sK13,sK12),sK13) ),
    inference(resolution,[],[f231,f215]) ).

fof(f215,plain,
    apply(sK9,sK18(sK9,sK11,sK13,sK12),sK17(sK9,sK11,sK13,sK12)),
    inference(resolution,[],[f187,f179]) ).

fof(f187,plain,
    ! [X2,X3,X0,X1] :
      ( equal_maps(X0,X1,X3,X2)
      | apply(X0,sK18(X0,X1,X2,X3),sK17(X0,X1,X2,X3)) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f231,plain,
    ! [X0] :
      ( ~ apply(sK9,sK18(sK9,sK11,sK13,sK12),X0)
      | apply(sK10,sK18(sK9,sK11,sK13,sK12),sK0(sK15,sK14,sK10,X0,sK18(sK9,sK11,sK13,sK12)))
      | ~ member(X0,sK13) ),
    inference(resolution,[],[f222,f206]) ).

fof(f206,plain,
    member(sK18(sK9,sK11,sK13,sK12),sK12),
    inference(resolution,[],[f188,f179]) ).

fof(f188,plain,
    ! [X2,X3,X0,X1] :
      ( equal_maps(X0,X1,X3,X2)
      | member(sK18(X0,X1,X2,X3),X3) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f222,plain,
    ! [X0,X1] :
      ( ~ member(X0,sK12)
      | apply(sK10,X0,sK0(sK15,sK14,sK10,X1,X0))
      | ~ apply(sK9,X0,X1)
      | ~ member(X1,sK13) ),
    inference(resolution,[],[f140,f180]) ).

fof(f180,plain,
    compose_predicate(sK9,sK14,sK10,sK12,sK15,sK13),
    inference(cnf_transformation,[],[f123]) ).

fof(f140,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ compose_predicate(X5,X1,X4,X3,X0,X2)
      | ~ member(X7,X3)
      | ~ apply(X5,X7,X6)
      | apply(X4,X7,sK0(X0,X1,X4,X6,X7))
      | ~ member(X6,X2) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ! [X6,X7] :
          ( ~ member(X6,X2)
          | ~ member(X7,X3)
          | ( ( apply(X5,X7,X6)
              | ! [X8] :
                  ( ~ apply(X1,X8,X6)
                  | ~ apply(X4,X7,X8)
                  | ~ member(X8,X0) ) )
            & ( ( apply(X1,sK0(X0,X1,X4,X6,X7),X6)
                & apply(X4,X7,sK0(X0,X1,X4,X6,X7))
                & member(sK0(X0,X1,X4,X6,X7),X0) )
              | ~ apply(X5,X7,X6) ) ) )
      | ~ compose_predicate(X5,X1,X4,X3,X0,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f76,f77]) ).

fof(f77,plain,
    ! [X0,X1,X4,X6,X7] :
      ( ? [X9] :
          ( apply(X1,X9,X6)
          & apply(X4,X7,X9)
          & member(X9,X0) )
     => ( apply(X1,sK0(X0,X1,X4,X6,X7),X6)
        & apply(X4,X7,sK0(X0,X1,X4,X6,X7))
        & member(sK0(X0,X1,X4,X6,X7),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f76,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ! [X6,X7] :
          ( ~ member(X6,X2)
          | ~ member(X7,X3)
          | ( ( apply(X5,X7,X6)
              | ! [X8] :
                  ( ~ apply(X1,X8,X6)
                  | ~ apply(X4,X7,X8)
                  | ~ member(X8,X0) ) )
            & ( ? [X9] :
                  ( apply(X1,X9,X6)
                  & apply(X4,X7,X9)
                  & member(X9,X0) )
              | ~ apply(X5,X7,X6) ) ) )
      | ~ compose_predicate(X5,X1,X4,X3,X0,X2) ),
    inference(rectify,[],[f75]) ).

fof(f75,plain,
    ! [X5,X0,X4,X3,X2,X1] :
      ( ! [X7,X6] :
          ( ~ member(X7,X4)
          | ~ member(X6,X3)
          | ( ( apply(X1,X6,X7)
              | ! [X8] :
                  ( ~ apply(X0,X8,X7)
                  | ~ apply(X2,X6,X8)
                  | ~ member(X8,X5) ) )
            & ( ? [X8] :
                  ( apply(X0,X8,X7)
                  & apply(X2,X6,X8)
                  & member(X8,X5) )
              | ~ apply(X1,X6,X7) ) ) )
      | ~ compose_predicate(X1,X0,X2,X3,X5,X4) ),
    inference(nnf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X5,X0,X4,X3,X2,X1] :
      ( ! [X7,X6] :
          ( ~ member(X7,X4)
          | ~ member(X6,X3)
          | ( apply(X1,X6,X7)
          <=> ? [X8] :
                ( apply(X0,X8,X7)
                & apply(X2,X6,X8)
                & member(X8,X5) ) ) )
      | ~ compose_predicate(X1,X0,X2,X3,X5,X4) ),
    inference(flattening,[],[f72]) ).

fof(f72,plain,
    ! [X2,X5,X0,X4,X1,X3] :
      ( ! [X6,X7] :
          ( ( apply(X1,X6,X7)
          <=> ? [X8] :
                ( apply(X0,X8,X7)
                & apply(X2,X6,X8)
                & member(X8,X5) ) )
          | ~ member(X7,X4)
          | ~ member(X6,X3) )
      | ~ compose_predicate(X1,X0,X2,X3,X5,X4) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X2,X5,X0,X4,X1,X3] :
      ( compose_predicate(X1,X0,X2,X3,X5,X4)
     => ! [X6,X7] :
          ( ( member(X7,X4)
            & member(X6,X3) )
         => ( apply(X1,X6,X7)
          <=> ? [X8] :
                ( apply(X0,X8,X7)
                & apply(X2,X6,X8)
                & member(X8,X5) ) ) ) ),
    inference(unused_predicate_definition_removal,[],[f42]) ).

fof(f42,plain,
    ! [X2,X5,X0,X4,X1,X3] :
      ( compose_predicate(X1,X0,X2,X3,X5,X4)
    <=> ! [X6,X7] :
          ( ( member(X7,X4)
            & member(X6,X3) )
         => ( apply(X1,X6,X7)
          <=> ? [X8] :
                ( apply(X0,X8,X7)
                & apply(X2,X6,X8)
                & member(X8,X5) ) ) ) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X9,X8,X5,X0,X10,X1] :
      ( ! [X2,X11] :
          ( ( member(X11,X10)
            & member(X2,X0) )
         => ( ? [X4] :
                ( apply(X5,X2,X4)
                & apply(X9,X4,X11)
                & member(X4,X1) )
          <=> apply(X8,X2,X11) ) )
    <=> compose_predicate(X8,X9,X5,X0,X1,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose_predicate) ).

fof(f344,plain,
    ( ! [X0] :
        ( ~ apply(sK10,sK18(sK9,sK11,sK13,sK12),X0)
        | ~ member(X0,sK15)
        | sK7(sK15,sK10,sK18(sK9,sK11,sK13,sK12)) = X0 )
    | ~ spl20_2 ),
    inference(subsumption_resolution,[],[f309,f244]) ).

fof(f244,plain,
    ( member(sK7(sK15,sK10,sK18(sK9,sK11,sK13,sK12)),sK15)
    | ~ spl20_2 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f309,plain,
    ! [X0] :
      ( ~ apply(sK10,sK18(sK9,sK11,sK13,sK12),X0)
      | ~ member(X0,sK15)
      | sK7(sK15,sK10,sK18(sK9,sK11,sK13,sK12)) = X0
      | ~ member(sK7(sK15,sK10,sK18(sK9,sK11,sK13,sK12)),sK15) ),
    inference(resolution,[],[f308,f182]) ).

fof(f182,plain,
    maps(sK10,sK12,sK15),
    inference(cnf_transformation,[],[f123]) ).

fof(f308,plain,
    ! [X0,X1] :
      ( ~ maps(sK10,sK12,X0)
      | ~ apply(sK10,sK18(sK9,sK11,sK13,sK12),X1)
      | ~ member(sK7(sK15,sK10,sK18(sK9,sK11,sK13,sK12)),X0)
      | ~ member(X1,X0)
      | sK7(sK15,sK10,sK18(sK9,sK11,sK13,sK12)) = X1 ),
    inference(resolution,[],[f219,f206]) ).

fof(f219,plain,
    ! [X2,X0,X1] :
      ( ~ member(sK18(sK9,sK11,sK13,sK12),X0)
      | ~ member(sK7(sK15,sK10,sK18(sK9,sK11,sK13,sK12)),X1)
      | ~ maps(sK10,X0,X1)
      | ~ apply(sK10,sK18(sK9,sK11,sK13,sK12),X2)
      | ~ member(X2,X1)
      | sK7(sK15,sK10,sK18(sK9,sK11,sK13,sK12)) = X2 ),
    inference(resolution,[],[f214,f173]) ).

fof(f173,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ apply(X2,X4,X3)
      | ~ member(X4,X1)
      | ~ maps(X2,X1,X0)
      | ~ member(X3,X0)
      | ~ member(X5,X0)
      | X3 = X5
      | ~ apply(X2,X4,X5) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f114,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3,X4,X5] :
            ( ~ member(X4,X1)
            | X3 = X5
            | ~ apply(X2,X4,X5)
            | ~ member(X5,X0)
            | ~ member(X3,X0)
            | ~ apply(X2,X4,X3) )
        & ! [X6] :
            ( ~ member(X6,X1)
            | ( apply(X2,X6,sK7(X0,X2,X6))
              & member(sK7(X0,X2,X6),X0) ) ) )
      | ~ maps(X2,X1,X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f112,f113]) ).

fof(f113,plain,
    ! [X0,X2,X6] :
      ( ? [X7] :
          ( apply(X2,X6,X7)
          & member(X7,X0) )
     => ( apply(X2,X6,sK7(X0,X2,X6))
        & member(sK7(X0,X2,X6),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f112,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3,X4,X5] :
            ( ~ member(X4,X1)
            | X3 = X5
            | ~ apply(X2,X4,X5)
            | ~ member(X5,X0)
            | ~ member(X3,X0)
            | ~ apply(X2,X4,X3) )
        & ! [X6] :
            ( ~ member(X6,X1)
            | ? [X7] :
                ( apply(X2,X6,X7)
                & member(X7,X0) ) ) )
      | ~ maps(X2,X1,X0) ),
    inference(rectify,[],[f62]) ).

fof(f62,plain,
    ! [X0,X1,X2] :
      ( ( ! [X5,X3,X4] :
            ( ~ member(X3,X1)
            | X4 = X5
            | ~ apply(X2,X3,X4)
            | ~ member(X4,X0)
            | ~ member(X5,X0)
            | ~ apply(X2,X3,X5) )
        & ! [X6] :
            ( ~ member(X6,X1)
            | ? [X7] :
                ( apply(X2,X6,X7)
                & member(X7,X0) ) ) )
      | ~ maps(X2,X1,X0) ),
    inference(flattening,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1,X2] :
      ( ( ! [X4,X3,X5] :
            ( X4 = X5
            | ~ apply(X2,X3,X5)
            | ~ apply(X2,X3,X4)
            | ~ member(X4,X0)
            | ~ member(X5,X0)
            | ~ member(X3,X1) )
        & ! [X6] :
            ( ~ member(X6,X1)
            | ? [X7] :
                ( apply(X2,X6,X7)
                & member(X7,X0) ) ) )
      | ~ maps(X2,X1,X0) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1,X2] :
      ( maps(X2,X1,X0)
     => ( ! [X4,X3,X5] :
            ( ( member(X4,X0)
              & member(X5,X0)
              & member(X3,X1) )
           => ( ( apply(X2,X3,X5)
                & apply(X2,X3,X4) )
             => X4 = X5 ) )
        & ! [X6] :
            ( member(X6,X1)
           => ? [X7] :
                ( apply(X2,X6,X7)
                & member(X7,X0) ) ) ) ),
    inference(unused_predicate_definition_removal,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1,X2] :
      ( ( ! [X4,X3,X5] :
            ( ( member(X4,X0)
              & member(X5,X0)
              & member(X3,X1) )
           => ( ( apply(X2,X3,X5)
                & apply(X2,X3,X4) )
             => X4 = X5 ) )
        & ! [X6] :
            ( member(X6,X1)
           => ? [X7] :
                ( apply(X2,X6,X7)
                & member(X7,X0) ) ) )
    <=> maps(X2,X1,X0) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X1,X0,X5] :
      ( ( ! [X2,X6,X7] :
            ( ( member(X6,X1)
              & member(X7,X1)
              & member(X2,X0) )
           => ( ( apply(X5,X2,X7)
                & apply(X5,X2,X6) )
             => X6 = X7 ) )
        & ! [X2] :
            ( member(X2,X0)
           => ? [X4] :
                ( apply(X5,X2,X4)
                & member(X4,X1) ) ) )
    <=> maps(X5,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',maps) ).

fof(f214,plain,
    apply(sK10,sK18(sK9,sK11,sK13,sK12),sK7(sK15,sK10,sK18(sK9,sK11,sK13,sK12))),
    inference(resolution,[],[f212,f206]) ).

fof(f212,plain,
    ! [X1] :
      ( ~ member(X1,sK12)
      | apply(sK10,X1,sK7(sK15,sK10,X1)) ),
    inference(resolution,[],[f172,f182]) ).

fof(f172,plain,
    ! [X2,X0,X1,X6] :
      ( ~ maps(X2,X1,X0)
      | apply(X2,X6,sK7(X0,X2,X6))
      | ~ member(X6,X1) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f318,plain,
    ( ! [X0] :
        ( ~ apply(sK14,sK0(sK15,sK14,sK10,sK17(sK9,sK11,sK13,sK12),sK18(sK9,sK11,sK13,sK12)),X0)
        | ~ member(X0,sK13)
        | sK17(sK9,sK11,sK13,sK12) = X0 )
    | ~ spl20_11 ),
    inference(avatar_component_clause,[],[f317]) ).

fof(f487,plain,
    ( apply(sK14,sK7(sK15,sK10,sK18(sK9,sK11,sK13,sK12)),sK16(sK9,sK11,sK13,sK12))
    | ~ spl20_18 ),
    inference(backward_demodulation,[],[f272,f462]) ).

fof(f462,plain,
    ( sK7(sK15,sK10,sK18(sK9,sK11,sK13,sK12)) = sK0(sK15,sK14,sK10,sK16(sK9,sK11,sK13,sK12),sK18(sK9,sK11,sK13,sK12))
    | ~ spl20_18 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f272,plain,
    apply(sK14,sK0(sK15,sK14,sK10,sK16(sK9,sK11,sK13,sK12),sK18(sK9,sK11,sK13,sK12)),sK16(sK9,sK11,sK13,sK12)),
    inference(subsumption_resolution,[],[f271,f208]) ).

fof(f271,plain,
    ( apply(sK14,sK0(sK15,sK14,sK10,sK16(sK9,sK11,sK13,sK12),sK18(sK9,sK11,sK13,sK12)),sK16(sK9,sK11,sK13,sK12))
    | ~ member(sK16(sK9,sK11,sK13,sK12),sK13) ),
    inference(resolution,[],[f234,f216]) ).

fof(f216,plain,
    apply(sK11,sK18(sK9,sK11,sK13,sK12),sK16(sK9,sK11,sK13,sK12)),
    inference(resolution,[],[f189,f179]) ).

fof(f189,plain,
    ! [X2,X3,X0,X1] :
      ( equal_maps(X0,X1,X3,X2)
      | apply(X1,sK18(X0,X1,X2,X3),sK16(X0,X1,X2,X3)) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f234,plain,
    ! [X0] :
      ( ~ apply(sK11,sK18(sK9,sK11,sK13,sK12),X0)
      | apply(sK14,sK0(sK15,sK14,sK10,X0,sK18(sK9,sK11,sK13,sK12)),X0)
      | ~ member(X0,sK13) ),
    inference(resolution,[],[f226,f206]) ).

fof(f226,plain,
    ! [X2,X3] :
      ( ~ member(X3,sK12)
      | apply(sK14,sK0(sK15,sK14,sK10,X2,X3),X2)
      | ~ apply(sK11,X3,X2)
      | ~ member(X2,sK13) ),
    inference(resolution,[],[f141,f183]) ).

fof(f183,plain,
    compose_predicate(sK11,sK14,sK10,sK12,sK15,sK13),
    inference(cnf_transformation,[],[f123]) ).

fof(f141,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ compose_predicate(X5,X1,X4,X3,X0,X2)
      | ~ member(X6,X2)
      | ~ apply(X5,X7,X6)
      | apply(X1,sK0(X0,X1,X4,X6,X7),X6)
      | ~ member(X7,X3) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f463,plain,
    ( ~ spl20_7
    | spl20_18
    | ~ spl20_2 ),
    inference(avatar_split_clause,[],[f347,f243,f460,f278]) ).

fof(f278,plain,
    ( spl20_7
  <=> member(sK0(sK15,sK14,sK10,sK16(sK9,sK11,sK13,sK12),sK18(sK9,sK11,sK13,sK12)),sK15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_7])]) ).

fof(f347,plain,
    ( sK7(sK15,sK10,sK18(sK9,sK11,sK13,sK12)) = sK0(sK15,sK14,sK10,sK16(sK9,sK11,sK13,sK12),sK18(sK9,sK11,sK13,sK12))
    | ~ member(sK0(sK15,sK14,sK10,sK16(sK9,sK11,sK13,sK12),sK18(sK9,sK11,sK13,sK12)),sK15)
    | ~ spl20_2 ),
    inference(resolution,[],[f344,f296]) ).

fof(f296,plain,
    apply(sK10,sK18(sK9,sK11,sK13,sK12),sK0(sK15,sK14,sK10,sK16(sK9,sK11,sK13,sK12),sK18(sK9,sK11,sK13,sK12))),
    inference(subsumption_resolution,[],[f295,f208]) ).

fof(f295,plain,
    ( apply(sK10,sK18(sK9,sK11,sK13,sK12),sK0(sK15,sK14,sK10,sK16(sK9,sK11,sK13,sK12),sK18(sK9,sK11,sK13,sK12)))
    | ~ member(sK16(sK9,sK11,sK13,sK12),sK13) ),
    inference(resolution,[],[f232,f216]) ).

fof(f232,plain,
    ! [X0] :
      ( ~ apply(sK11,sK18(sK9,sK11,sK13,sK12),X0)
      | ~ member(X0,sK13)
      | apply(sK10,sK18(sK9,sK11,sK13,sK12),sK0(sK15,sK14,sK10,X0,sK18(sK9,sK11,sK13,sK12))) ),
    inference(resolution,[],[f223,f206]) ).

fof(f223,plain,
    ! [X2,X3] :
      ( ~ member(X2,sK12)
      | apply(sK10,X2,sK0(sK15,sK14,sK10,X3,X2))
      | ~ member(X3,sK13)
      | ~ apply(sK11,X2,X3) ),
    inference(resolution,[],[f140,f183]) ).

fof(f456,plain,
    spl20_7,
    inference(avatar_contradiction_clause,[],[f455]) ).

fof(f455,plain,
    ( $false
    | spl20_7 ),
    inference(subsumption_resolution,[],[f454,f206]) ).

fof(f454,plain,
    ( ~ member(sK18(sK9,sK11,sK13,sK12),sK12)
    | spl20_7 ),
    inference(subsumption_resolution,[],[f453,f208]) ).

fof(f453,plain,
    ( ~ member(sK16(sK9,sK11,sK13,sK12),sK13)
    | ~ member(sK18(sK9,sK11,sK13,sK12),sK12)
    | spl20_7 ),
    inference(subsumption_resolution,[],[f451,f216]) ).

fof(f451,plain,
    ( ~ apply(sK11,sK18(sK9,sK11,sK13,sK12),sK16(sK9,sK11,sK13,sK12))
    | ~ member(sK16(sK9,sK11,sK13,sK12),sK13)
    | ~ member(sK18(sK9,sK11,sK13,sK12),sK12)
    | spl20_7 ),
    inference(resolution,[],[f280,f221]) ).

fof(f221,plain,
    ! [X2,X3] :
      ( member(sK0(sK15,sK14,sK10,X2,X3),sK15)
      | ~ member(X3,sK12)
      | ~ apply(sK11,X3,X2)
      | ~ member(X2,sK13) ),
    inference(resolution,[],[f139,f183]) ).

fof(f139,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ compose_predicate(X5,X1,X4,X3,X0,X2)
      | member(sK0(X0,X1,X4,X6,X7),X0)
      | ~ apply(X5,X7,X6)
      | ~ member(X7,X3)
      | ~ member(X6,X2) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f280,plain,
    ( ~ member(sK0(sK15,sK14,sK10,sK16(sK9,sK11,sK13,sK12),sK18(sK9,sK11,sK13,sK12)),sK15)
    | spl20_7 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f389,plain,
    ( ~ spl20_2
    | ~ spl20_4
    | ~ spl20_10 ),
    inference(avatar_contradiction_clause,[],[f388]) ).

fof(f388,plain,
    ( $false
    | ~ spl20_2
    | ~ spl20_4
    | ~ spl20_10 ),
    inference(subsumption_resolution,[],[f387,f244]) ).

fof(f387,plain,
    ( ~ member(sK7(sK15,sK10,sK18(sK9,sK11,sK13,sK12)),sK15)
    | ~ spl20_2
    | ~ spl20_4
    | ~ spl20_10 ),
    inference(resolution,[],[f365,f181]) ).

fof(f181,plain,
    maps(sK14,sK15,sK13),
    inference(cnf_transformation,[],[f123]) ).

fof(f365,plain,
    ( ! [X1] :
        ( ~ maps(sK14,X1,sK13)
        | ~ member(sK7(sK15,sK10,sK18(sK9,sK11,sK13,sK12)),X1) )
    | ~ spl20_2
    | ~ spl20_4
    | ~ spl20_10 ),
    inference(backward_demodulation,[],[f315,f357]) ).

fof(f315,plain,
    ( ! [X1] :
        ( ~ maps(sK14,X1,sK13)
        | ~ member(sK0(sK15,sK14,sK10,sK17(sK9,sK11,sK13,sK12),sK18(sK9,sK11,sK13,sK12)),X1) )
    | ~ spl20_10 ),
    inference(avatar_component_clause,[],[f314]) ).

fof(f314,plain,
    ( spl20_10
  <=> ! [X1] :
        ( ~ maps(sK14,X1,sK13)
        | ~ member(sK0(sK15,sK14,sK10,sK17(sK9,sK11,sK13,sK12),sK18(sK9,sK11,sK13,sK12)),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_10])]) ).

fof(f356,plain,
    spl20_4,
    inference(avatar_contradiction_clause,[],[f355]) ).

fof(f355,plain,
    ( $false
    | spl20_4 ),
    inference(subsumption_resolution,[],[f354,f215]) ).

fof(f354,plain,
    ( ~ apply(sK9,sK18(sK9,sK11,sK13,sK12),sK17(sK9,sK11,sK13,sK12))
    | spl20_4 ),
    inference(subsumption_resolution,[],[f353,f206]) ).

fof(f353,plain,
    ( ~ member(sK18(sK9,sK11,sK13,sK12),sK12)
    | ~ apply(sK9,sK18(sK9,sK11,sK13,sK12),sK17(sK9,sK11,sK13,sK12))
    | spl20_4 ),
    inference(subsumption_resolution,[],[f350,f207]) ).

fof(f350,plain,
    ( ~ member(sK17(sK9,sK11,sK13,sK12),sK13)
    | ~ member(sK18(sK9,sK11,sK13,sK12),sK12)
    | ~ apply(sK9,sK18(sK9,sK11,sK13,sK12),sK17(sK9,sK11,sK13,sK12))
    | spl20_4 ),
    inference(resolution,[],[f261,f220]) ).

fof(f220,plain,
    ! [X0,X1] :
      ( member(sK0(sK15,sK14,sK10,X0,X1),sK15)
      | ~ member(X1,sK12)
      | ~ member(X0,sK13)
      | ~ apply(sK9,X1,X0) ),
    inference(resolution,[],[f139,f180]) ).

fof(f261,plain,
    ( ~ member(sK0(sK15,sK14,sK10,sK17(sK9,sK11,sK13,sK12),sK18(sK9,sK11,sK13,sK12)),sK15)
    | spl20_4 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f343,plain,
    spl20_2,
    inference(avatar_contradiction_clause,[],[f342]) ).

fof(f342,plain,
    ( $false
    | spl20_2 ),
    inference(subsumption_resolution,[],[f341,f206]) ).

fof(f341,plain,
    ( ~ member(sK18(sK9,sK11,sK13,sK12),sK12)
    | spl20_2 ),
    inference(resolution,[],[f245,f210]) ).

fof(f210,plain,
    ! [X1] :
      ( member(sK7(sK15,sK10,X1),sK15)
      | ~ member(X1,sK12) ),
    inference(resolution,[],[f171,f182]) ).

fof(f171,plain,
    ! [X2,X0,X1,X6] :
      ( ~ maps(X2,X1,X0)
      | ~ member(X6,X1)
      | member(sK7(X0,X2,X6),X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f245,plain,
    ( ~ member(sK7(sK15,sK10,sK18(sK9,sK11,sK13,sK12)),sK15)
    | spl20_2 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f319,plain,
    ( spl20_10
    | spl20_11 ),
    inference(avatar_split_clause,[],[f312,f317,f314]) ).

fof(f312,plain,
    ! [X0,X1] :
      ( sK17(sK9,sK11,sK13,sK12) = X0
      | ~ maps(sK14,X1,sK13)
      | ~ apply(sK14,sK0(sK15,sK14,sK10,sK17(sK9,sK11,sK13,sK12),sK18(sK9,sK11,sK13,sK12)),X0)
      | ~ member(X0,sK13)
      | ~ member(sK0(sK15,sK14,sK10,sK17(sK9,sK11,sK13,sK12),sK18(sK9,sK11,sK13,sK12)),X1) ),
    inference(resolution,[],[f256,f207]) ).

fof(f256,plain,
    ! [X2,X3,X4] :
      ( ~ member(sK17(sK9,sK11,sK13,sK12),X3)
      | ~ apply(sK14,sK0(sK15,sK14,sK10,sK17(sK9,sK11,sK13,sK12),sK18(sK9,sK11,sK13,sK12)),X4)
      | ~ member(sK0(sK15,sK14,sK10,sK17(sK9,sK11,sK13,sK12),sK18(sK9,sK11,sK13,sK12)),X2)
      | ~ member(X4,X3)
      | ~ maps(sK14,X2,X3)
      | sK17(sK9,sK11,sK13,sK12) = X4 ),
    inference(resolution,[],[f253,f173]) ).

fof(f253,plain,
    apply(sK14,sK0(sK15,sK14,sK10,sK17(sK9,sK11,sK13,sK12),sK18(sK9,sK11,sK13,sK12)),sK17(sK9,sK11,sK13,sK12)),
    inference(subsumption_resolution,[],[f252,f207]) ).

fof(f252,plain,
    ( apply(sK14,sK0(sK15,sK14,sK10,sK17(sK9,sK11,sK13,sK12),sK18(sK9,sK11,sK13,sK12)),sK17(sK9,sK11,sK13,sK12))
    | ~ member(sK17(sK9,sK11,sK13,sK12),sK13) ),
    inference(resolution,[],[f233,f215]) ).

fof(f233,plain,
    ! [X0] :
      ( ~ apply(sK9,sK18(sK9,sK11,sK13,sK12),X0)
      | apply(sK14,sK0(sK15,sK14,sK10,X0,sK18(sK9,sK11,sK13,sK12)),X0)
      | ~ member(X0,sK13) ),
    inference(resolution,[],[f225,f206]) ).

fof(f225,plain,
    ! [X0,X1] :
      ( ~ member(X1,sK12)
      | apply(sK14,sK0(sK15,sK14,sK10,X0,X1),X0)
      | ~ apply(sK9,X1,X0)
      | ~ member(X0,sK13) ),
    inference(resolution,[],[f141,f180]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SET708+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n008.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 15:02:55 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.44  % (3022)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.45  % (3030)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)
% 0.20/0.45  % (3022)Instruction limit reached!
% 0.20/0.45  % (3022)------------------------------
% 0.20/0.45  % (3022)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.45  % (3022)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.45  % (3022)Termination reason: Unknown
% 0.20/0.45  % (3022)Termination phase: Saturation
% 0.20/0.45  
% 0.20/0.45  % (3022)Memory used [KB]: 5628
% 0.20/0.45  % (3022)Time elapsed: 0.063 s
% 0.20/0.45  % (3022)Instructions burned: 8 (million)
% 0.20/0.45  % (3022)------------------------------
% 0.20/0.45  % (3022)------------------------------
% 0.20/0.51  % (3037)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)
% 0.20/0.52  % (3029)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)
% 0.20/0.52  % (3017)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)
% 0.20/0.52  % (3023)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52  % (3018)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)
% 0.20/0.52  % (3020)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)
% 0.20/0.52  % (3023)Instruction limit reached!
% 0.20/0.52  % (3023)------------------------------
% 0.20/0.52  % (3023)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (3023)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (3023)Termination reason: Unknown
% 0.20/0.52  % (3023)Termination phase: Property scanning
% 0.20/0.52  
% 0.20/0.52  % (3023)Memory used [KB]: 1023
% 0.20/0.52  % (3023)Time elapsed: 0.004 s
% 0.20/0.52  % (3023)Instructions burned: 4 (million)
% 0.20/0.52  % (3023)------------------------------
% 0.20/0.52  % (3023)------------------------------
% 0.20/0.52  % (3019)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (3015)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)
% 0.20/0.52  % (3038)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)
% 0.20/0.52  % (3040)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53  % (3016)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)
% 0.20/0.53  % (3041)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)
% 0.20/0.53  % (3016)Refutation not found, incomplete strategy% (3016)------------------------------
% 0.20/0.53  % (3016)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (3016)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (3016)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (3016)Memory used [KB]: 5628
% 0.20/0.53  % (3016)Time elapsed: 0.126 s
% 0.20/0.53  % (3016)Instructions burned: 7 (million)
% 0.20/0.53  % (3016)------------------------------
% 0.20/0.53  % (3016)------------------------------
% 0.20/0.53  % (3042)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)
% 0.20/0.53  % (3044)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)
% 0.20/0.53  % (3039)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53  % (3021)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)
% 0.20/0.53  % (3043)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53  % (3033)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (3024)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)
% 0.20/0.54  % (3034)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)
% 0.20/0.54  % (3036)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54  % (3031)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)
% 0.20/0.54  % (3032)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54  % (3027)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54  % (3025)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54  TRYING [1]
% 0.20/0.54  % (3030)Instruction limit reached!
% 0.20/0.54  % (3030)------------------------------
% 0.20/0.54  % (3030)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (3030)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (3026)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)
% 0.20/0.54  % (3030)Termination reason: Unknown
% 0.20/0.54  % (3030)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (3030)Memory used [KB]: 2558
% 0.20/0.54  % (3030)Time elapsed: 0.146 s
% 0.20/0.54  % (3030)Instructions burned: 75 (million)
% 0.20/0.54  % (3030)------------------------------
% 0.20/0.54  % (3030)------------------------------
% 0.20/0.54  % (3028)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (3035)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)
% 0.20/0.54  TRYING [2]
% 0.20/0.55  TRYING [1]
% 0.20/0.55  TRYING [2]
% 0.20/0.55  % (3046)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)
% 0.20/0.56  TRYING [1]
% 0.20/0.56  TRYING [2]
% 0.20/0.58  % (3017)Instruction limit reached!
% 0.20/0.58  % (3017)------------------------------
% 0.20/0.58  % (3017)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (3017)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (3017)Termination reason: Unknown
% 0.20/0.58  % (3017)Termination phase: Saturation
% 0.20/0.58  
% 0.20/0.58  % (3017)Memory used [KB]: 1663
% 0.20/0.58  % (3017)Time elapsed: 0.165 s
% 0.20/0.58  % (3017)Instructions burned: 37 (million)
% 0.20/0.58  % (3017)------------------------------
% 0.20/0.58  % (3017)------------------------------
% 0.20/0.58  % (3038)First to succeed.
% 0.20/0.59  % (3038)Refutation found. Thanks to Tanya!
% 0.20/0.59  % SZS status Theorem for theBenchmark
% 0.20/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.59  % (3038)------------------------------
% 0.20/0.59  % (3038)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (3038)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (3038)Termination reason: Refutation
% 0.20/0.59  
% 0.20/0.59  % (3038)Memory used [KB]: 5884
% 0.20/0.59  % (3038)Time elapsed: 0.181 s
% 0.20/0.59  % (3038)Instructions burned: 30 (million)
% 0.20/0.59  % (3038)------------------------------
% 0.20/0.59  % (3038)------------------------------
% 0.20/0.59  % (3014)Success in time 0.238 s
%------------------------------------------------------------------------------