TSTP Solution File: SET711+4 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET711+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 : n019.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 18:25:25 EDT 2022

% Result   : Theorem 2.09s 0.70s
% Output   : Refutation 2.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   77 (  15 unt;   0 def)
%            Number of atoms       :  298 (  26 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  319 (  98   ~;  92   |;  91   &)
%                                         (  14 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   2 prp; 0-4 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-4 aty)
%            Number of variables   :  230 ( 198   !;  32   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1756,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1072,f1755]) ).

fof(f1755,plain,
    spl18_32,
    inference(avatar_contradiction_clause,[],[f1754]) ).

fof(f1754,plain,
    ( $false
    | spl18_32 ),
    inference(subsumption_resolution,[],[f1753,f305]) ).

fof(f305,plain,
    member(sK2(sK7,sK9,sK11,sK10),sK9),
    inference(resolution,[],[f166,f185]) ).

fof(f185,plain,
    ~ equal_maps(sK7,sK10,sK11,sK9),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,plain,
    ( inverse_predicate(sK7,sK8,sK9,sK11)
    & ~ equal_maps(sK7,sK10,sK11,sK9)
    & inverse_predicate(sK10,sK8,sK9,sK11)
    & maps(sK8,sK9,sK11)
    & one_to_one(sK8,sK9,sK11) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10,sK11])],[f114,f115]) ).

fof(f115,plain,
    ( ? [X0,X1,X2,X3,X4] :
        ( inverse_predicate(X0,X1,X2,X4)
        & ~ equal_maps(X0,X3,X4,X2)
        & inverse_predicate(X3,X1,X2,X4)
        & maps(X1,X2,X4)
        & one_to_one(X1,X2,X4) )
   => ( inverse_predicate(sK7,sK8,sK9,sK11)
      & ~ equal_maps(sK7,sK10,sK11,sK9)
      & inverse_predicate(sK10,sK8,sK9,sK11)
      & maps(sK8,sK9,sK11)
      & one_to_one(sK8,sK9,sK11) ) ),
    introduced(choice_axiom,[]) ).

fof(f114,plain,
    ? [X0,X1,X2,X3,X4] :
      ( inverse_predicate(X0,X1,X2,X4)
      & ~ equal_maps(X0,X3,X4,X2)
      & inverse_predicate(X3,X1,X2,X4)
      & maps(X1,X2,X4)
      & one_to_one(X1,X2,X4) ),
    inference(rectify,[],[f70]) ).

fof(f70,plain,
    ? [X0,X4,X1,X3,X2] :
      ( inverse_predicate(X0,X4,X1,X2)
      & ~ equal_maps(X0,X3,X2,X1)
      & inverse_predicate(X3,X4,X1,X2)
      & maps(X4,X1,X2)
      & one_to_one(X4,X1,X2) ),
    inference(flattening,[],[f69]) ).

fof(f69,plain,
    ? [X3,X2,X1,X0,X4] :
      ( ~ equal_maps(X0,X3,X2,X1)
      & one_to_one(X4,X1,X2)
      & maps(X4,X1,X2)
      & inverse_predicate(X3,X4,X1,X2)
      & inverse_predicate(X0,X4,X1,X2) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f56,plain,
    ~ ! [X3,X2,X1,X0,X4] :
        ( ( one_to_one(X4,X1,X2)
          & maps(X4,X1,X2)
          & inverse_predicate(X3,X4,X1,X2)
          & inverse_predicate(X0,X4,X1,X2) )
       => equal_maps(X0,X3,X2,X1) ),
    inference(rectify,[],[f30]) ).

fof(f30,negated_conjecture,
    ~ ! [X9,X0,X1,X8,X5] :
        ( ( maps(X5,X0,X1)
          & inverse_predicate(X9,X5,X0,X1)
          & one_to_one(X5,X0,X1)
          & inverse_predicate(X8,X5,X0,X1) )
       => equal_maps(X9,X8,X1,X0) ),
    inference(negated_conjecture,[],[f29]) ).

fof(f29,conjecture,
    ! [X9,X0,X1,X8,X5] :
      ( ( maps(X5,X0,X1)
        & inverse_predicate(X9,X5,X0,X1)
        & one_to_one(X5,X0,X1)
        & inverse_predicate(X8,X5,X0,X1) )
     => equal_maps(X9,X8,X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thII03a) ).

fof(f166,plain,
    ! [X2,X3,X0,X1] :
      ( equal_maps(X0,X3,X2,X1)
      | member(sK2(X0,X1,X2,X3),X1) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ! [X0,X1,X2,X3] :
      ( equal_maps(X0,X3,X2,X1)
      | ( member(sK2(X0,X1,X2,X3),X1)
        & apply(X0,sK3(X0,X1,X2,X3),sK2(X0,X1,X2,X3))
        & apply(X3,sK3(X0,X1,X2,X3),sK4(X0,X1,X2,X3))
        & member(sK4(X0,X1,X2,X3),X1)
        & sK2(X0,X1,X2,X3) != sK4(X0,X1,X2,X3)
        & member(sK3(X0,X1,X2,X3),X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f98,f99]) ).

fof(f99,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4,X5,X6] :
          ( member(X4,X1)
          & apply(X0,X5,X4)
          & apply(X3,X5,X6)
          & member(X6,X1)
          & X4 != X6
          & member(X5,X2) )
     => ( member(sK2(X0,X1,X2,X3),X1)
        & apply(X0,sK3(X0,X1,X2,X3),sK2(X0,X1,X2,X3))
        & apply(X3,sK3(X0,X1,X2,X3),sK4(X0,X1,X2,X3))
        & member(sK4(X0,X1,X2,X3),X1)
        & sK2(X0,X1,X2,X3) != sK4(X0,X1,X2,X3)
        & member(sK3(X0,X1,X2,X3),X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f98,plain,
    ! [X0,X1,X2,X3] :
      ( equal_maps(X0,X3,X2,X1)
      | ? [X4,X5,X6] :
          ( member(X4,X1)
          & apply(X0,X5,X4)
          & apply(X3,X5,X6)
          & member(X6,X1)
          & X4 != X6
          & member(X5,X2) ) ),
    inference(rectify,[],[f76]) ).

fof(f76,plain,
    ! [X1,X2,X3,X0] :
      ( equal_maps(X1,X0,X3,X2)
      | ? [X6,X5,X4] :
          ( member(X6,X2)
          & apply(X1,X5,X6)
          & apply(X0,X5,X4)
          & member(X4,X2)
          & X4 != X6
          & member(X5,X3) ) ),
    inference(flattening,[],[f75]) ).

fof(f75,plain,
    ! [X2,X3,X0,X1] :
      ( equal_maps(X1,X0,X3,X2)
      | ? [X5,X4,X6] :
          ( X4 != X6
          & apply(X1,X5,X6)
          & apply(X0,X5,X4)
          & member(X6,X2)
          & member(X5,X3)
          & member(X4,X2) ) ),
    inference(ennf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X2,X3,X0,X1] :
      ( ! [X5,X4,X6] :
          ( ( member(X6,X2)
            & member(X5,X3)
            & member(X4,X2) )
         => ( ( apply(X1,X5,X6)
              & apply(X0,X5,X4) )
           => X4 = X6 ) )
     => equal_maps(X1,X0,X3,X2) ),
    inference(unused_predicate_definition_removal,[],[f51]) ).

fof(f51,plain,
    ! [X2,X3,X0,X1] :
      ( equal_maps(X1,X0,X3,X2)
    <=> ! [X5,X4,X6] :
          ( ( member(X6,X2)
            & member(X5,X3)
            & member(X4,X2) )
         => ( ( apply(X1,X5,X6)
              & apply(X0,X5,X4) )
           => X4 = X6 ) ) ),
    inference(rectify,[],[f15]) ).

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

fof(f1753,plain,
    ( ~ member(sK2(sK7,sK9,sK11,sK10),sK9)
    | spl18_32 ),
    inference(subsumption_resolution,[],[f1730,f944]) ).

fof(f944,plain,
    ( sK2(sK7,sK9,sK11,sK10) != sK4(sK7,sK9,sK11,sK10)
    | spl18_32 ),
    inference(avatar_component_clause,[],[f943]) ).

fof(f943,plain,
    ( spl18_32
  <=> sK2(sK7,sK9,sK11,sK10) = sK4(sK7,sK9,sK11,sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_32])]) ).

fof(f1730,plain,
    ( sK2(sK7,sK9,sK11,sK10) = sK4(sK7,sK9,sK11,sK10)
    | ~ member(sK2(sK7,sK9,sK11,sK10),sK9) ),
    inference(resolution,[],[f777,f459]) ).

fof(f459,plain,
    apply(sK8,sK2(sK7,sK9,sK11,sK10),sK3(sK7,sK9,sK11,sK10)),
    inference(subsumption_resolution,[],[f458,f305]) ).

fof(f458,plain,
    ( ~ member(sK2(sK7,sK9,sK11,sK10),sK9)
    | apply(sK8,sK2(sK7,sK9,sK11,sK10),sK3(sK7,sK9,sK11,sK10)) ),
    inference(subsumption_resolution,[],[f457,f259]) ).

fof(f259,plain,
    member(sK3(sK7,sK9,sK11,sK10),sK11),
    inference(resolution,[],[f161,f185]) ).

fof(f161,plain,
    ! [X2,X3,X0,X1] :
      ( equal_maps(X0,X3,X2,X1)
      | member(sK3(X0,X1,X2,X3),X2) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f457,plain,
    ( apply(sK8,sK2(sK7,sK9,sK11,sK10),sK3(sK7,sK9,sK11,sK10))
    | ~ member(sK3(sK7,sK9,sK11,sK10),sK11)
    | ~ member(sK2(sK7,sK9,sK11,sK10),sK9) ),
    inference(resolution,[],[f362,f342]) ).

fof(f342,plain,
    apply(sK7,sK3(sK7,sK9,sK11,sK10),sK2(sK7,sK9,sK11,sK10)),
    inference(resolution,[],[f165,f185]) ).

fof(f165,plain,
    ! [X2,X3,X0,X1] :
      ( equal_maps(X0,X3,X2,X1)
      | apply(X0,sK3(X0,X1,X2,X3),sK2(X0,X1,X2,X3)) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f362,plain,
    ! [X2,X3] :
      ( ~ apply(sK7,X3,X2)
      | ~ member(X2,sK9)
      | ~ member(X3,sK11)
      | apply(sK8,X2,X3) ),
    inference(resolution,[],[f156,f186]) ).

fof(f186,plain,
    inverse_predicate(sK7,sK8,sK9,sK11),
    inference(cnf_transformation,[],[f116]) ).

fof(f156,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ inverse_predicate(X1,X2,X3,X0)
      | apply(X2,X4,X5)
      | ~ member(X4,X3)
      | ~ member(X5,X0)
      | ~ apply(X1,X5,X4) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0,X1,X2,X3] :
      ( ! [X4,X5] :
          ( ( ( apply(X2,X4,X5)
              | ~ apply(X1,X5,X4) )
            & ( apply(X1,X5,X4)
              | ~ apply(X2,X4,X5) ) )
          | ~ member(X5,X0)
          | ~ member(X4,X3) )
      | ~ inverse_predicate(X1,X2,X3,X0) ),
    inference(rectify,[],[f91]) ).

fof(f91,plain,
    ! [X0,X1,X3,X2] :
      ( ! [X4,X5] :
          ( ( ( apply(X3,X4,X5)
              | ~ apply(X1,X5,X4) )
            & ( apply(X1,X5,X4)
              | ~ apply(X3,X4,X5) ) )
          | ~ member(X5,X0)
          | ~ member(X4,X2) )
      | ~ inverse_predicate(X1,X3,X2,X0) ),
    inference(nnf_transformation,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1,X3,X2] :
      ( ! [X4,X5] :
          ( ( apply(X3,X4,X5)
          <=> apply(X1,X5,X4) )
          | ~ member(X5,X0)
          | ~ member(X4,X2) )
      | ~ inverse_predicate(X1,X3,X2,X0) ),
    inference(flattening,[],[f79]) ).

fof(f79,plain,
    ! [X2,X1,X3,X0] :
      ( ! [X5,X4] :
          ( ( apply(X3,X4,X5)
          <=> apply(X1,X5,X4) )
          | ~ member(X5,X0)
          | ~ member(X4,X2) )
      | ~ inverse_predicate(X1,X3,X2,X0) ),
    inference(ennf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X2,X1,X3,X0] :
      ( inverse_predicate(X1,X3,X2,X0)
     => ! [X5,X4] :
          ( ( member(X5,X0)
            & member(X4,X2) )
         => ( apply(X3,X4,X5)
          <=> apply(X1,X5,X4) ) ) ),
    inference(unused_predicate_definition_removal,[],[f33]) ).

fof(f33,plain,
    ! [X2,X1,X3,X0] :
      ( inverse_predicate(X1,X3,X2,X0)
    <=> ! [X5,X4] :
          ( ( member(X5,X0)
            & member(X4,X2) )
         => ( apply(X3,X4,X5)
          <=> apply(X1,X5,X4) ) ) ),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X1,X9,X0,X5] :
      ( ! [X2,X4] :
          ( ( member(X2,X0)
            & member(X4,X1) )
         => ( apply(X9,X4,X2)
          <=> apply(X5,X2,X4) ) )
    <=> inverse_predicate(X9,X5,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_predicate) ).

fof(f777,plain,
    ! [X0] :
      ( ~ apply(sK8,X0,sK3(sK7,sK9,sK11,sK10))
      | ~ member(X0,sK9)
      | sK4(sK7,sK9,sK11,sK10) = X0 ),
    inference(subsumption_resolution,[],[f776,f272]) ).

fof(f272,plain,
    member(sK4(sK7,sK9,sK11,sK10),sK9),
    inference(resolution,[],[f163,f185]) ).

fof(f163,plain,
    ! [X2,X3,X0,X1] :
      ( equal_maps(X0,X3,X2,X1)
      | member(sK4(X0,X1,X2,X3),X1) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f776,plain,
    ! [X0] :
      ( ~ member(sK4(sK7,sK9,sK11,sK10),sK9)
      | sK4(sK7,sK9,sK11,sK10) = X0
      | ~ apply(sK8,X0,sK3(sK7,sK9,sK11,sK10))
      | ~ member(X0,sK9) ),
    inference(subsumption_resolution,[],[f772,f259]) ).

fof(f772,plain,
    ! [X0] :
      ( ~ member(sK3(sK7,sK9,sK11,sK10),sK11)
      | ~ apply(sK8,X0,sK3(sK7,sK9,sK11,sK10))
      | ~ member(sK4(sK7,sK9,sK11,sK10),sK9)
      | ~ member(X0,sK9)
      | sK4(sK7,sK9,sK11,sK10) = X0 ),
    inference(resolution,[],[f676,f456]) ).

fof(f456,plain,
    apply(sK8,sK4(sK7,sK9,sK11,sK10),sK3(sK7,sK9,sK11,sK10)),
    inference(subsumption_resolution,[],[f455,f259]) ).

fof(f455,plain,
    ( ~ member(sK3(sK7,sK9,sK11,sK10),sK11)
    | apply(sK8,sK4(sK7,sK9,sK11,sK10),sK3(sK7,sK9,sK11,sK10)) ),
    inference(subsumption_resolution,[],[f454,f272]) ).

fof(f454,plain,
    ( ~ member(sK4(sK7,sK9,sK11,sK10),sK9)
    | ~ member(sK3(sK7,sK9,sK11,sK10),sK11)
    | apply(sK8,sK4(sK7,sK9,sK11,sK10),sK3(sK7,sK9,sK11,sK10)) ),
    inference(resolution,[],[f361,f310]) ).

fof(f310,plain,
    apply(sK10,sK3(sK7,sK9,sK11,sK10),sK4(sK7,sK9,sK11,sK10)),
    inference(resolution,[],[f164,f185]) ).

fof(f164,plain,
    ! [X2,X3,X0,X1] :
      ( equal_maps(X0,X3,X2,X1)
      | apply(X3,sK3(X0,X1,X2,X3),sK4(X0,X1,X2,X3)) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f361,plain,
    ! [X0,X1] :
      ( ~ apply(sK10,X1,X0)
      | ~ member(X1,sK11)
      | apply(sK8,X0,X1)
      | ~ member(X0,sK9) ),
    inference(resolution,[],[f156,f184]) ).

fof(f184,plain,
    inverse_predicate(sK10,sK8,sK9,sK11),
    inference(cnf_transformation,[],[f116]) ).

fof(f676,plain,
    ! [X2,X0,X1] :
      ( ~ apply(sK8,X2,X1)
      | X0 = X2
      | ~ member(X1,sK11)
      | ~ member(X0,sK9)
      | ~ apply(sK8,X0,X1)
      | ~ member(X2,sK9) ),
    inference(resolution,[],[f167,f218]) ).

fof(f218,plain,
    injective(sK8,sK9,sK11),
    inference(resolution,[],[f173,f182]) ).

fof(f182,plain,
    one_to_one(sK8,sK9,sK11),
    inference(cnf_transformation,[],[f116]) ).

fof(f173,plain,
    ! [X2,X0,X1] :
      ( ~ one_to_one(X1,X2,X0)
      | injective(X1,X2,X0) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0,X1,X2] :
      ( ( surjective(X1,X2,X0)
        & injective(X1,X2,X0) )
      | ~ one_to_one(X1,X2,X0) ),
    inference(rectify,[],[f74]) ).

fof(f74,plain,
    ! [X1,X0,X2] :
      ( ( surjective(X0,X2,X1)
        & injective(X0,X2,X1) )
      | ~ one_to_one(X0,X2,X1) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X1,X0,X2] :
      ( one_to_one(X0,X2,X1)
     => ( surjective(X0,X2,X1)
        & injective(X0,X2,X1) ) ),
    inference(unused_predicate_definition_removal,[],[f55]) ).

fof(f55,plain,
    ! [X1,X0,X2] :
      ( one_to_one(X0,X2,X1)
    <=> ( surjective(X0,X2,X1)
        & injective(X0,X2,X1) ) ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X5,X1,X0] :
      ( one_to_one(X5,X0,X1)
    <=> ( surjective(X5,X0,X1)
        & injective(X5,X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_to_one) ).

fof(f167,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ injective(X2,X0,X1)
      | ~ apply(X2,X5,X3)
      | ~ member(X5,X0)
      | ~ apply(X2,X4,X3)
      | ~ member(X3,X1)
      | ~ member(X4,X0)
      | X4 = X5 ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,plain,
    ! [X0,X1,X2] :
      ( ~ injective(X2,X0,X1)
      | ! [X3,X4,X5] :
          ( ~ member(X3,X1)
          | ~ member(X5,X0)
          | ~ apply(X2,X5,X3)
          | ~ member(X4,X0)
          | ~ apply(X2,X4,X3)
          | X4 = X5 ) ),
    inference(rectify,[],[f78]) ).

fof(f78,plain,
    ! [X2,X0,X1] :
      ( ~ injective(X1,X2,X0)
      | ! [X3,X4,X5] :
          ( ~ member(X3,X0)
          | ~ member(X5,X2)
          | ~ apply(X1,X5,X3)
          | ~ member(X4,X2)
          | ~ apply(X1,X4,X3)
          | X4 = X5 ) ),
    inference(flattening,[],[f77]) ).

fof(f77,plain,
    ! [X0,X2,X1] :
      ( ! [X4,X5,X3] :
          ( X4 = X5
          | ~ apply(X1,X4,X3)
          | ~ apply(X1,X5,X3)
          | ~ member(X3,X0)
          | ~ member(X5,X2)
          | ~ member(X4,X2) )
      | ~ injective(X1,X2,X0) ),
    inference(ennf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0,X2,X1] :
      ( injective(X1,X2,X0)
     => ! [X4,X5,X3] :
          ( ( member(X3,X0)
            & member(X5,X2)
            & member(X4,X2) )
         => ( ( apply(X1,X4,X3)
              & apply(X1,X5,X3) )
           => X4 = X5 ) ) ),
    inference(unused_predicate_definition_removal,[],[f44]) ).

fof(f44,plain,
    ! [X0,X2,X1] :
      ( ! [X4,X5,X3] :
          ( ( member(X3,X0)
            & member(X5,X2)
            & member(X4,X2) )
         => ( ( apply(X1,X4,X3)
              & apply(X1,X5,X3) )
           => X4 = X5 ) )
    <=> injective(X1,X2,X0) ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X1,X5,X0] :
      ( injective(X5,X0,X1)
    <=> ! [X4,X13,X12] :
          ( ( member(X4,X1)
            & member(X12,X0)
            & member(X13,X0) )
         => ( ( apply(X5,X12,X4)
              & apply(X5,X13,X4) )
           => X12 = X13 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',injective) ).

fof(f1072,plain,
    ~ spl18_32,
    inference(avatar_contradiction_clause,[],[f1071]) ).

fof(f1071,plain,
    ( $false
    | ~ spl18_32 ),
    inference(subsumption_resolution,[],[f1070,f185]) ).

fof(f1070,plain,
    ( equal_maps(sK7,sK10,sK11,sK9)
    | ~ spl18_32 ),
    inference(trivial_inequality_removal,[],[f1069]) ).

fof(f1069,plain,
    ( sK2(sK7,sK9,sK11,sK10) != sK2(sK7,sK9,sK11,sK10)
    | equal_maps(sK7,sK10,sK11,sK9)
    | ~ spl18_32 ),
    inference(superposition,[],[f162,f945]) ).

fof(f945,plain,
    ( sK2(sK7,sK9,sK11,sK10) = sK4(sK7,sK9,sK11,sK10)
    | ~ spl18_32 ),
    inference(avatar_component_clause,[],[f943]) ).

fof(f162,plain,
    ! [X2,X3,X0,X1] :
      ( sK2(X0,X1,X2,X3) != sK4(X0,X1,X2,X3)
      | equal_maps(X0,X3,X2,X1) ),
    inference(cnf_transformation,[],[f100]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET711+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 14:17:50 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.51  % (27250)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)
% 0.21/0.52  % (27265)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)
% 0.21/0.52  % (27247)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)
% 0.21/0.52  % (27259)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)
% 0.21/0.52  % (27257)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.52  % (27256)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)
% 0.21/0.52  % (27258)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.53  % (27251)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)
% 0.21/0.53  % (27245)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)
% 0.21/0.53  % (27274)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.53  % (27267)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)
% 0.21/0.54  % (27248)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)
% 0.21/0.54  % (27249)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54  % (27266)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.54  % (27270)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.54  % (27255)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.54  % (27268)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)
% 0.21/0.54  % (27273)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)
% 0.21/0.54  % (27254)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)
% 0.21/0.54  % (27275)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)
% 0.21/0.55  % (27253)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.55  % (27253)Instruction limit reached!
% 0.21/0.55  % (27253)------------------------------
% 0.21/0.55  % (27253)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (27253)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (27253)Termination reason: Unknown
% 0.21/0.55  % (27253)Termination phase: Preprocessing 3
% 0.21/0.55  
% 0.21/0.55  % (27253)Memory used [KB]: 1023
% 0.21/0.55  % (27253)Time elapsed: 0.003 s
% 0.21/0.55  % (27253)Instructions burned: 2 (million)
% 0.21/0.55  % (27253)------------------------------
% 0.21/0.55  % (27253)------------------------------
% 0.21/0.55  % (27252)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.55  % (27246)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)
% 0.21/0.55  TRYING [1]
% 0.21/0.55  TRYING [2]
% 0.21/0.55  % (27264)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)
% 0.21/0.55  TRYING [1]
% 0.21/0.55  % (27260)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)
% 0.21/0.55  TRYING [2]
% 0.21/0.56  % (27272)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)
% 0.21/0.56  % (27269)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.56  % (27246)Refutation not found, incomplete strategy% (27246)------------------------------
% 0.21/0.56  % (27246)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (27263)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.56  % (27246)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (27246)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.56  
% 0.21/0.56  % (27246)Memory used [KB]: 5628
% 0.21/0.56  % (27246)Time elapsed: 0.145 s
% 0.21/0.56  % (27246)Instructions burned: 6 (million)
% 0.21/0.56  % (27246)------------------------------
% 0.21/0.56  % (27246)------------------------------
% 0.21/0.56  % (27261)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)
% 0.21/0.56  % (27262)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.57  % (27252)Instruction limit reached!
% 0.21/0.57  % (27252)------------------------------
% 0.21/0.57  % (27252)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (27252)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (27252)Termination reason: Unknown
% 0.21/0.57  % (27252)Termination phase: Saturation
% 0.21/0.57  
% 0.21/0.57  % (27252)Memory used [KB]: 5628
% 0.21/0.57  % (27252)Time elapsed: 0.147 s
% 0.21/0.57  % (27252)Instructions burned: 7 (million)
% 0.21/0.57  % (27252)------------------------------
% 0.21/0.57  % (27252)------------------------------
% 0.21/0.58  TRYING [3]
% 0.21/0.58  TRYING [3]
% 1.80/0.59  TRYING [1]
% 1.80/0.59  TRYING [2]
% 1.80/0.59  % (27251)Instruction limit reached!
% 1.80/0.59  % (27251)------------------------------
% 1.80/0.59  % (27251)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.59  % (27251)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.59  % (27251)Termination reason: Unknown
% 1.80/0.59  % (27251)Termination phase: Finite model building constraint generation
% 1.80/0.59  
% 1.80/0.59  % (27251)Memory used [KB]: 9722
% 1.80/0.59  % (27251)Time elapsed: 0.186 s
% 1.80/0.59  % (27251)Instructions burned: 51 (million)
% 1.80/0.59  % (27251)------------------------------
% 1.80/0.59  % (27251)------------------------------
% 1.80/0.60  % (27247)Instruction limit reached!
% 1.80/0.60  % (27247)------------------------------
% 1.80/0.60  % (27247)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.60  % (27250)Instruction limit reached!
% 1.80/0.60  % (27250)------------------------------
% 1.80/0.60  % (27250)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.60  % (27250)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.60  % (27250)Termination reason: Unknown
% 1.80/0.60  % (27250)Termination phase: Saturation
% 1.80/0.60  
% 1.80/0.60  % (27250)Memory used [KB]: 6268
% 1.80/0.60  % (27250)Time elapsed: 0.187 s
% 1.80/0.60  % (27250)Instructions burned: 49 (million)
% 1.80/0.60  % (27250)------------------------------
% 1.80/0.60  % (27250)------------------------------
% 1.93/0.61  % (27247)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.61  % (27247)Termination reason: Unknown
% 1.93/0.61  % (27247)Termination phase: Saturation
% 1.93/0.61  
% 1.93/0.61  % (27247)Memory used [KB]: 1663
% 1.93/0.61  % (27247)Time elapsed: 0.182 s
% 1.93/0.61  % (27247)Instructions burned: 38 (million)
% 1.93/0.61  % (27247)------------------------------
% 1.93/0.61  % (27247)------------------------------
% 1.93/0.62  TRYING [3]
% 2.09/0.63  % (27255)Instruction limit reached!
% 2.09/0.63  % (27255)------------------------------
% 2.09/0.63  % (27255)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.63  % (27255)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.63  % (27255)Termination reason: Unknown
% 2.09/0.63  % (27255)Termination phase: Saturation
% 2.09/0.63  
% 2.09/0.63  % (27255)Memory used [KB]: 6780
% 2.09/0.63  % (27255)Time elapsed: 0.214 s
% 2.09/0.63  % (27255)Instructions burned: 51 (million)
% 2.09/0.63  % (27255)------------------------------
% 2.09/0.63  % (27255)------------------------------
% 2.09/0.64  % (27254)Instruction limit reached!
% 2.09/0.64  % (27254)------------------------------
% 2.09/0.64  % (27254)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.64  % (27254)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.64  % (27254)Termination reason: Unknown
% 2.09/0.64  % (27254)Termination phase: Saturation
% 2.09/0.64  
% 2.09/0.64  % (27254)Memory used [KB]: 2302
% 2.09/0.64  % (27254)Time elapsed: 0.184 s
% 2.09/0.64  % (27254)Instructions burned: 52 (million)
% 2.09/0.64  % (27254)------------------------------
% 2.09/0.64  % (27254)------------------------------
% 2.09/0.64  % (27262)Instruction limit reached!
% 2.09/0.64  % (27262)------------------------------
% 2.09/0.64  % (27262)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.64  % (27262)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.64  % (27262)Termination reason: Unknown
% 2.09/0.64  % (27262)Termination phase: Finite model building constraint generation
% 2.09/0.64  
% 2.09/0.64  % (27262)Memory used [KB]: 10362
% 2.09/0.64  % (27262)Time elapsed: 0.179 s
% 2.09/0.64  % (27262)Instructions burned: 60 (million)
% 2.09/0.64  % (27262)------------------------------
% 2.09/0.64  % (27262)------------------------------
% 2.09/0.64  % (27248)Instruction limit reached!
% 2.09/0.64  % (27248)------------------------------
% 2.09/0.64  % (27248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.64  % (27248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.64  % (27248)Termination reason: Unknown
% 2.09/0.64  % (27248)Termination phase: Saturation
% 2.09/0.64  
% 2.09/0.64  % (27248)Memory used [KB]: 6140
% 2.09/0.64  % (27248)Time elapsed: 0.232 s
% 2.09/0.64  % (27248)Instructions burned: 52 (million)
% 2.09/0.64  % (27248)------------------------------
% 2.09/0.64  % (27248)------------------------------
% 2.09/0.64  % (27249)Instruction limit reached!
% 2.09/0.64  % (27249)------------------------------
% 2.09/0.64  % (27249)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.64  % (27249)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.64  % (27249)Termination reason: Unknown
% 2.09/0.64  % (27249)Termination phase: Saturation
% 2.09/0.64  
% 2.09/0.64  % (27249)Memory used [KB]: 6524
% 2.09/0.64  % (27249)Time elapsed: 0.237 s
% 2.09/0.64  % (27249)Instructions burned: 51 (million)
% 2.09/0.64  % (27249)------------------------------
% 2.09/0.64  % (27249)------------------------------
% 2.09/0.66  % (27259)Instruction limit reached!
% 2.09/0.66  % (27259)------------------------------
% 2.09/0.66  % (27259)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.66  % (27259)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.66  % (27259)Termination reason: Unknown
% 2.09/0.66  % (27259)Termination phase: Saturation
% 2.09/0.66  
% 2.09/0.66  % (27259)Memory used [KB]: 7164
% 2.09/0.66  % (27259)Time elapsed: 0.040 s
% 2.09/0.66  % (27259)Instructions burned: 69 (million)
% 2.09/0.66  % (27259)------------------------------
% 2.09/0.66  % (27259)------------------------------
% 2.09/0.68  % (27265)First to succeed.
% 2.09/0.69  % (27272)Instruction limit reached!
% 2.09/0.69  % (27272)------------------------------
% 2.09/0.69  % (27272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.69  % (27272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.69  % (27272)Termination reason: Unknown
% 2.09/0.69  % (27272)Termination phase: Saturation
% 2.09/0.69  
% 2.09/0.69  % (27272)Memory used [KB]: 7036
% 2.09/0.69  % (27272)Time elapsed: 0.039 s
% 2.09/0.69  % (27272)Instructions burned: 69 (million)
% 2.09/0.69  % (27272)------------------------------
% 2.09/0.69  % (27272)------------------------------
% 2.09/0.69  % (27258)Instruction limit reached!
% 2.09/0.69  % (27258)------------------------------
% 2.09/0.69  % (27258)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.70  % (27372)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.09/0.70  % (27361)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.09/0.70  % (27258)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.70  % (27258)Termination reason: Unknown
% 2.09/0.70  % (27258)Termination phase: Saturation
% 2.09/0.70  % (27265)Refutation found. Thanks to Tanya!
% 2.09/0.70  % SZS status Theorem for theBenchmark
% 2.09/0.70  % SZS output start Proof for theBenchmark
% See solution above
% 2.09/0.70  % (27265)------------------------------
% 2.09/0.70  % (27265)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.70  % (27265)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.70  % (27265)Termination reason: Refutation
% 2.09/0.70  
% 2.09/0.70  % (27265)Memory used [KB]: 6908
% 2.09/0.70  % (27265)Time elapsed: 0.277 s
% 2.09/0.70  % (27265)Instructions burned: 90 (million)
% 2.09/0.70  % (27265)------------------------------
% 2.09/0.70  % (27265)------------------------------
% 2.09/0.70  % (27239)Success in time 0.337 s
%------------------------------------------------------------------------------