TSTP Solution File: SEU349+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU349+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 : n009.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 18:33:21 EDT 2022

% Result   : Theorem 7.86s 1.43s
% Output   : Refutation 7.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   37
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  307 (  25 unt;   0 def)
%            Number of atoms       : 1389 (  53 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives : 1831 ( 749   ~; 841   |; 172   &)
%                                         (  28 <=>;  39  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   38 (  36 usr;   9 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-3 aty)
%            Number of variables   :  333 ( 310   !;  23   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9569,plain,
    $false,
    inference(avatar_sat_refutation,[],[f362,f363,f8161,f8778,f9018,f9060,f9242,f9308,f9465,f9568]) ).

fof(f9568,plain,
    ( spl24_1
    | ~ spl24_171 ),
    inference(avatar_contradiction_clause,[],[f9567]) ).

fof(f9567,plain,
    ( $false
    | spl24_1
    | ~ spl24_171 ),
    inference(subsumption_resolution,[],[f9566,f353]) ).

fof(f353,plain,
    element(sK3,sF23),
    inference(definition_folding,[],[f249,f352]) ).

fof(f352,plain,
    the_carrier(sK2) = sF23,
    introduced(function_definition,[]) ).

fof(f249,plain,
    element(sK3,the_carrier(sK2)),
    inference(cnf_transformation,[],[f178]) ).

fof(f178,plain,
    ( ~ empty_carrier(sK2)
    & lattice(sK2)
    & ( ~ relstr_set_smaller(poset_of_lattice(sK2),sK1,cast_to_el_of_LattPOSet(sK2,sK3))
      | ~ latt_element_smaller(sK2,sK3,sK1) )
    & ( relstr_set_smaller(poset_of_lattice(sK2),sK1,cast_to_el_of_LattPOSet(sK2,sK3))
      | latt_element_smaller(sK2,sK3,sK1) )
    & element(sK3,the_carrier(sK2))
    & latt_str(sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f175,f177,f176]) ).

fof(f176,plain,
    ( ? [X0,X1] :
        ( ~ empty_carrier(X1)
        & lattice(X1)
        & ? [X2] :
            ( ( ~ relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
              | ~ latt_element_smaller(X1,X2,X0) )
            & ( relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
              | latt_element_smaller(X1,X2,X0) )
            & element(X2,the_carrier(X1)) )
        & latt_str(X1) )
   => ( ~ empty_carrier(sK2)
      & lattice(sK2)
      & ? [X2] :
          ( ( ~ relstr_set_smaller(poset_of_lattice(sK2),sK1,cast_to_el_of_LattPOSet(sK2,X2))
            | ~ latt_element_smaller(sK2,X2,sK1) )
          & ( relstr_set_smaller(poset_of_lattice(sK2),sK1,cast_to_el_of_LattPOSet(sK2,X2))
            | latt_element_smaller(sK2,X2,sK1) )
          & element(X2,the_carrier(sK2)) )
      & latt_str(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f177,plain,
    ( ? [X2] :
        ( ( ~ relstr_set_smaller(poset_of_lattice(sK2),sK1,cast_to_el_of_LattPOSet(sK2,X2))
          | ~ latt_element_smaller(sK2,X2,sK1) )
        & ( relstr_set_smaller(poset_of_lattice(sK2),sK1,cast_to_el_of_LattPOSet(sK2,X2))
          | latt_element_smaller(sK2,X2,sK1) )
        & element(X2,the_carrier(sK2)) )
   => ( ( ~ relstr_set_smaller(poset_of_lattice(sK2),sK1,cast_to_el_of_LattPOSet(sK2,sK3))
        | ~ latt_element_smaller(sK2,sK3,sK1) )
      & ( relstr_set_smaller(poset_of_lattice(sK2),sK1,cast_to_el_of_LattPOSet(sK2,sK3))
        | latt_element_smaller(sK2,sK3,sK1) )
      & element(sK3,the_carrier(sK2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f175,plain,
    ? [X0,X1] :
      ( ~ empty_carrier(X1)
      & lattice(X1)
      & ? [X2] :
          ( ( ~ relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
            | ~ latt_element_smaller(X1,X2,X0) )
          & ( relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
            | latt_element_smaller(X1,X2,X0) )
          & element(X2,the_carrier(X1)) )
      & latt_str(X1) ),
    inference(flattening,[],[f174]) ).

fof(f174,plain,
    ? [X0,X1] :
      ( ~ empty_carrier(X1)
      & lattice(X1)
      & ? [X2] :
          ( ( ~ relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
            | ~ latt_element_smaller(X1,X2,X0) )
          & ( relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
            | latt_element_smaller(X1,X2,X0) )
          & element(X2,the_carrier(X1)) )
      & latt_str(X1) ),
    inference(nnf_transformation,[],[f145]) ).

fof(f145,plain,
    ? [X0,X1] :
      ( ~ empty_carrier(X1)
      & lattice(X1)
      & ? [X2] :
          ( ( latt_element_smaller(X1,X2,X0)
          <~> relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) )
          & element(X2,the_carrier(X1)) )
      & latt_str(X1) ),
    inference(flattening,[],[f144]) ).

fof(f144,plain,
    ? [X1,X0] :
      ( ? [X2] :
          ( ( latt_element_smaller(X1,X2,X0)
          <~> relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) )
          & element(X2,the_carrier(X1)) )
      & latt_str(X1)
      & lattice(X1)
      & ~ empty_carrier(X1) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f65,negated_conjecture,
    ~ ! [X1,X0] :
        ( ( latt_str(X1)
          & lattice(X1)
          & ~ empty_carrier(X1) )
       => ! [X2] :
            ( element(X2,the_carrier(X1))
           => ( latt_element_smaller(X1,X2,X0)
            <=> relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) ) ) ),
    inference(negated_conjecture,[],[f64]) ).

fof(f64,conjecture,
    ! [X1,X0] :
      ( ( latt_str(X1)
        & lattice(X1)
        & ~ empty_carrier(X1) )
     => ! [X2] :
          ( element(X2,the_carrier(X1))
         => ( latt_element_smaller(X1,X2,X0)
          <=> relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_lattice3) ).

fof(f9566,plain,
    ( ~ element(sK3,sF23)
    | spl24_1
    | ~ spl24_171 ),
    inference(forward_demodulation,[],[f9565,f757]) ).

fof(f757,plain,
    sF23 = the_carrier(sF21),
    inference(trivial_inequality_removal,[],[f756]) ).

fof(f756,plain,
    ( sF21 != sF21
    | sF23 = the_carrier(sF21) ),
    inference(superposition,[],[f710,f610]) ).

fof(f610,plain,
    sF21 = rel_str_of(the_carrier(sF21),the_InternalRel(sF21)),
    inference(subsumption_resolution,[],[f607,f493]) ).

fof(f493,plain,
    rel_str(sF21),
    inference(subsumption_resolution,[],[f492,f252]) ).

fof(f252,plain,
    lattice(sK2),
    inference(cnf_transformation,[],[f178]) ).

fof(f492,plain,
    ( ~ lattice(sK2)
    | rel_str(sF21) ),
    inference(subsumption_resolution,[],[f491,f253]) ).

fof(f253,plain,
    ~ empty_carrier(sK2),
    inference(cnf_transformation,[],[f178]) ).

fof(f491,plain,
    ( rel_str(sF21)
    | empty_carrier(sK2)
    | ~ lattice(sK2) ),
    inference(subsumption_resolution,[],[f490,f248]) ).

fof(f248,plain,
    latt_str(sK2),
    inference(cnf_transformation,[],[f178]) ).

fof(f490,plain,
    ( ~ latt_str(sK2)
    | empty_carrier(sK2)
    | rel_str(sF21)
    | ~ lattice(sK2) ),
    inference(superposition,[],[f321,f348]) ).

fof(f348,plain,
    poset_of_lattice(sK2) = sF21,
    introduced(function_definition,[]) ).

fof(f321,plain,
    ! [X0] :
      ( rel_str(poset_of_lattice(X0))
      | ~ lattice(X0)
      | empty_carrier(X0)
      | ~ latt_str(X0) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,plain,
    ! [X0] :
      ( empty_carrier(X0)
      | ~ lattice(X0)
      | ~ latt_str(X0)
      | ( transitive_relstr(poset_of_lattice(X0))
        & reflexive_relstr(poset_of_lattice(X0))
        & antisymmetric_relstr(poset_of_lattice(X0))
        & strict_rel_str(poset_of_lattice(X0))
        & rel_str(poset_of_lattice(X0)) ) ),
    inference(flattening,[],[f100]) ).

fof(f100,plain,
    ! [X0] :
      ( ( transitive_relstr(poset_of_lattice(X0))
        & reflexive_relstr(poset_of_lattice(X0))
        & antisymmetric_relstr(poset_of_lattice(X0))
        & strict_rel_str(poset_of_lattice(X0))
        & rel_str(poset_of_lattice(X0)) )
      | ~ latt_str(X0)
      | empty_carrier(X0)
      | ~ lattice(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0] :
      ( ( latt_str(X0)
        & ~ empty_carrier(X0)
        & lattice(X0) )
     => ( transitive_relstr(poset_of_lattice(X0))
        & reflexive_relstr(poset_of_lattice(X0))
        & antisymmetric_relstr(poset_of_lattice(X0))
        & strict_rel_str(poset_of_lattice(X0))
        & rel_str(poset_of_lattice(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_lattice3) ).

fof(f607,plain,
    ( ~ rel_str(sF21)
    | sF21 = rel_str_of(the_carrier(sF21),the_InternalRel(sF21)) ),
    inference(resolution,[],[f260,f458]) ).

fof(f458,plain,
    strict_rel_str(sF21),
    inference(subsumption_resolution,[],[f457,f248]) ).

fof(f457,plain,
    ( strict_rel_str(sF21)
    | ~ latt_str(sK2) ),
    inference(subsumption_resolution,[],[f456,f253]) ).

fof(f456,plain,
    ( empty_carrier(sK2)
    | strict_rel_str(sF21)
    | ~ latt_str(sK2) ),
    inference(subsumption_resolution,[],[f455,f252]) ).

fof(f455,plain,
    ( strict_rel_str(sF21)
    | ~ lattice(sK2)
    | empty_carrier(sK2)
    | ~ latt_str(sK2) ),
    inference(superposition,[],[f246,f348]) ).

fof(f246,plain,
    ! [X0] :
      ( strict_rel_str(poset_of_lattice(X0))
      | empty_carrier(X0)
      | ~ latt_str(X0)
      | ~ lattice(X0) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0] :
      ( ~ latt_str(X0)
      | ( strict_rel_str(poset_of_lattice(X0))
        & transitive_relstr(poset_of_lattice(X0))
        & antisymmetric_relstr(poset_of_lattice(X0))
        & reflexive_relstr(poset_of_lattice(X0))
        & ~ empty_carrier(poset_of_lattice(X0)) )
      | ~ lattice(X0)
      | empty_carrier(X0) ),
    inference(flattening,[],[f104]) ).

fof(f104,plain,
    ! [X0] :
      ( ( strict_rel_str(poset_of_lattice(X0))
        & transitive_relstr(poset_of_lattice(X0))
        & antisymmetric_relstr(poset_of_lattice(X0))
        & reflexive_relstr(poset_of_lattice(X0))
        & ~ empty_carrier(poset_of_lattice(X0)) )
      | empty_carrier(X0)
      | ~ lattice(X0)
      | ~ latt_str(X0) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,axiom,
    ! [X0] :
      ( ( ~ empty_carrier(X0)
        & lattice(X0)
        & latt_str(X0) )
     => ( strict_rel_str(poset_of_lattice(X0))
        & transitive_relstr(poset_of_lattice(X0))
        & antisymmetric_relstr(poset_of_lattice(X0))
        & reflexive_relstr(poset_of_lattice(X0))
        & ~ empty_carrier(poset_of_lattice(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_lattice3) ).

fof(f260,plain,
    ! [X0] :
      ( ~ strict_rel_str(X0)
      | rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f166]) ).

fof(f166,plain,
    ! [X0] :
      ( ~ strict_rel_str(X0)
      | rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0
      | ~ rel_str(X0) ),
    inference(flattening,[],[f165]) ).

fof(f165,plain,
    ! [X0] :
      ( rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0
      | ~ strict_rel_str(X0)
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( rel_str(X0)
     => ( strict_rel_str(X0)
       => rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v1_orders_2) ).

fof(f710,plain,
    ! [X0,X1] :
      ( rel_str_of(X0,X1) != sF21
      | sF23 = X0 ),
    inference(subsumption_resolution,[],[f701,f623]) ).

fof(f623,plain,
    relation_of2(k2_lattice3(sK2),sF23,sF23),
    inference(resolution,[],[f622,f285]) ).

fof(f285,plain,
    ! [X2,X0,X1] :
      ( ~ relation_of2_as_subset(X0,X1,X2)
      | relation_of2(X0,X1,X2) ),
    inference(cnf_transformation,[],[f204]) ).

fof(f204,plain,
    ! [X0,X1,X2] :
      ( ( relation_of2_as_subset(X0,X1,X2)
        | ~ relation_of2(X0,X1,X2) )
      & ( relation_of2(X0,X1,X2)
        | ~ relation_of2_as_subset(X0,X1,X2) ) ),
    inference(rectify,[],[f203]) ).

fof(f203,plain,
    ! [X2,X0,X1] :
      ( ( relation_of2_as_subset(X2,X0,X1)
        | ~ relation_of2(X2,X0,X1) )
      & ( relation_of2(X2,X0,X1)
        | ~ relation_of2_as_subset(X2,X0,X1) ) ),
    inference(nnf_transformation,[],[f56]) ).

fof(f56,axiom,
    ! [X2,X0,X1] :
      ( relation_of2_as_subset(X2,X0,X1)
    <=> relation_of2(X2,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).

fof(f622,plain,
    relation_of2_as_subset(k2_lattice3(sK2),sF23,sF23),
    inference(subsumption_resolution,[],[f621,f248]) ).

fof(f621,plain,
    ( ~ latt_str(sK2)
    | relation_of2_as_subset(k2_lattice3(sK2),sF23,sF23) ),
    inference(subsumption_resolution,[],[f620,f252]) ).

fof(f620,plain,
    ( ~ lattice(sK2)
    | ~ latt_str(sK2)
    | relation_of2_as_subset(k2_lattice3(sK2),sF23,sF23) ),
    inference(subsumption_resolution,[],[f619,f253]) ).

fof(f619,plain,
    ( empty_carrier(sK2)
    | ~ lattice(sK2)
    | ~ latt_str(sK2)
    | relation_of2_as_subset(k2_lattice3(sK2),sF23,sF23) ),
    inference(superposition,[],[f293,f352]) ).

fof(f293,plain,
    ! [X0] :
      ( relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
      | empty_carrier(X0)
      | ~ lattice(X0)
      | ~ latt_str(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X0] :
      ( ( transitive(k2_lattice3(X0))
        & v1_partfun1(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
        & relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
        & antisymmetric(k2_lattice3(X0))
        & reflexive(k2_lattice3(X0)) )
      | empty_carrier(X0)
      | ~ latt_str(X0)
      | ~ lattice(X0) ),
    inference(flattening,[],[f114]) ).

fof(f114,plain,
    ! [X0] :
      ( ( transitive(k2_lattice3(X0))
        & v1_partfun1(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
        & relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
        & antisymmetric(k2_lattice3(X0))
        & reflexive(k2_lattice3(X0)) )
      | ~ lattice(X0)
      | ~ latt_str(X0)
      | empty_carrier(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0] :
      ( ( lattice(X0)
        & latt_str(X0)
        & ~ empty_carrier(X0) )
     => ( transitive(k2_lattice3(X0))
        & v1_partfun1(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
        & relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
        & antisymmetric(k2_lattice3(X0))
        & reflexive(k2_lattice3(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_lattice3) ).

fof(f701,plain,
    ! [X0,X1] :
      ( sF23 = X0
      | ~ relation_of2(k2_lattice3(sK2),sF23,sF23)
      | rel_str_of(X0,X1) != sF21 ),
    inference(superposition,[],[f332,f640]) ).

fof(f640,plain,
    rel_str_of(sF23,k2_lattice3(sK2)) = sF21,
    inference(forward_demodulation,[],[f639,f348]) ).

fof(f639,plain,
    poset_of_lattice(sK2) = rel_str_of(sF23,k2_lattice3(sK2)),
    inference(forward_demodulation,[],[f638,f352]) ).

fof(f638,plain,
    poset_of_lattice(sK2) = rel_str_of(the_carrier(sK2),k2_lattice3(sK2)),
    inference(subsumption_resolution,[],[f637,f248]) ).

fof(f637,plain,
    ( ~ latt_str(sK2)
    | poset_of_lattice(sK2) = rel_str_of(the_carrier(sK2),k2_lattice3(sK2)) ),
    inference(subsumption_resolution,[],[f636,f253]) ).

fof(f636,plain,
    ( empty_carrier(sK2)
    | ~ latt_str(sK2)
    | poset_of_lattice(sK2) = rel_str_of(the_carrier(sK2),k2_lattice3(sK2)) ),
    inference(resolution,[],[f290,f252]) ).

fof(f290,plain,
    ! [X0] :
      ( ~ lattice(X0)
      | empty_carrier(X0)
      | poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0))
      | ~ latt_str(X0) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f139,plain,
    ! [X0] :
      ( ~ lattice(X0)
      | ~ latt_str(X0)
      | empty_carrier(X0)
      | poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0)) ),
    inference(flattening,[],[f138]) ).

fof(f138,plain,
    ! [X0] :
      ( poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0))
      | ~ latt_str(X0)
      | empty_carrier(X0)
      | ~ lattice(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( ( latt_str(X0)
        & ~ empty_carrier(X0)
        & lattice(X0) )
     => poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_lattice3) ).

fof(f332,plain,
    ! [X2,X3,X0,X1] :
      ( rel_str_of(X0,X1) != rel_str_of(X2,X3)
      | ~ relation_of2(X1,X0,X0)
      | X0 = X2 ),
    inference(cnf_transformation,[],[f219]) ).

fof(f219,plain,
    ! [X0,X1] :
      ( ~ relation_of2(X1,X0,X0)
      | ! [X2,X3] :
          ( rel_str_of(X0,X1) != rel_str_of(X2,X3)
          | ( X0 = X2
            & X1 = X3 ) ) ),
    inference(rectify,[],[f118]) ).

fof(f118,plain,
    ! [X1,X0] :
      ( ~ relation_of2(X0,X1,X1)
      | ! [X2,X3] :
          ( rel_str_of(X2,X3) != rel_str_of(X1,X0)
          | ( X1 = X2
            & X0 = X3 ) ) ),
    inference(ennf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( relation_of2(X0,X1,X1)
     => ! [X2,X3] :
          ( rel_str_of(X2,X3) = rel_str_of(X1,X0)
         => ( X1 = X2
            & X0 = X3 ) ) ),
    inference(rectify,[],[f46]) ).

fof(f46,axiom,
    ! [X1,X0] :
      ( relation_of2(X1,X0,X0)
     => ! [X2,X3] :
          ( rel_str_of(X0,X1) = rel_str_of(X2,X3)
         => ( X1 = X3
            & X0 = X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g1_orders_2) ).

fof(f9565,plain,
    ( ~ element(sK3,the_carrier(sF21))
    | spl24_1
    | ~ spl24_171 ),
    inference(subsumption_resolution,[],[f9564,f493]) ).

fof(f9564,plain,
    ( ~ rel_str(sF21)
    | ~ element(sK3,the_carrier(sF21))
    | spl24_1
    | ~ spl24_171 ),
    inference(subsumption_resolution,[],[f9562,f9466]) ).

fof(f9466,plain,
    ( ~ relstr_set_smaller(sF21,sK1,sK3)
    | spl24_1 ),
    inference(forward_demodulation,[],[f357,f922]) ).

fof(f922,plain,
    sF22 = sK3,
    inference(superposition,[],[f349,f913]) ).

fof(f913,plain,
    cast_to_el_of_LattPOSet(sK2,sK3) = sK3,
    inference(resolution,[],[f830,f353]) ).

fof(f830,plain,
    ! [X0] :
      ( ~ element(X0,sF23)
      | cast_to_el_of_LattPOSet(sK2,X0) = X0 ),
    inference(subsumption_resolution,[],[f829,f253]) ).

fof(f829,plain,
    ! [X0] :
      ( empty_carrier(sK2)
      | cast_to_el_of_LattPOSet(sK2,X0) = X0
      | ~ element(X0,sF23) ),
    inference(subsumption_resolution,[],[f828,f248]) ).

fof(f828,plain,
    ! [X0] :
      ( ~ latt_str(sK2)
      | ~ element(X0,sF23)
      | empty_carrier(sK2)
      | cast_to_el_of_LattPOSet(sK2,X0) = X0 ),
    inference(subsumption_resolution,[],[f826,f252]) ).

fof(f826,plain,
    ! [X0] :
      ( ~ lattice(sK2)
      | cast_to_el_of_LattPOSet(sK2,X0) = X0
      | empty_carrier(sK2)
      | ~ element(X0,sF23)
      | ~ latt_str(sK2) ),
    inference(superposition,[],[f268,f352]) ).

fof(f268,plain,
    ! [X0,X1] :
      ( ~ element(X1,the_carrier(X0))
      | ~ latt_str(X0)
      | empty_carrier(X0)
      | cast_to_el_of_LattPOSet(X0,X1) = X1
      | ~ lattice(X0) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,plain,
    ! [X0] :
      ( empty_carrier(X0)
      | ~ latt_str(X0)
      | ~ lattice(X0)
      | ! [X1] :
          ( cast_to_el_of_LattPOSet(X0,X1) = X1
          | ~ element(X1,the_carrier(X0)) ) ),
    inference(flattening,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( ! [X1] :
          ( cast_to_el_of_LattPOSet(X0,X1) = X1
          | ~ element(X1,the_carrier(X0)) )
      | ~ latt_str(X0)
      | ~ lattice(X0)
      | empty_carrier(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( ( latt_str(X0)
        & lattice(X0)
        & ~ empty_carrier(X0) )
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => cast_to_el_of_LattPOSet(X0,X1) = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_lattice3) ).

fof(f349,plain,
    cast_to_el_of_LattPOSet(sK2,sK3) = sF22,
    introduced(function_definition,[]) ).

fof(f357,plain,
    ( ~ relstr_set_smaller(sF21,sK1,sF22)
    | spl24_1 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f355,plain,
    ( spl24_1
  <=> relstr_set_smaller(sF21,sK1,sF22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_1])]) ).

fof(f9562,plain,
    ( ~ element(sK3,the_carrier(sF21))
    | relstr_set_smaller(sF21,sK1,sK3)
    | ~ rel_str(sF21)
    | ~ spl24_171 ),
    inference(resolution,[],[f9017,f313]) ).

fof(f313,plain,
    ! [X2,X0,X1] :
      ( ~ related(X0,sK13(X0,X1,X2),X1)
      | relstr_set_smaller(X0,X2,X1)
      | ~ rel_str(X0)
      | ~ element(X1,the_carrier(X0)) ),
    inference(cnf_transformation,[],[f211]) ).

fof(f211,plain,
    ! [X0] :
      ( ~ rel_str(X0)
      | ! [X1,X2] :
          ( ~ element(X1,the_carrier(X0))
          | ( ( relstr_set_smaller(X0,X2,X1)
              | ( element(sK13(X0,X1,X2),the_carrier(X0))
                & ~ related(X0,sK13(X0,X1,X2),X1)
                & in(sK13(X0,X1,X2),X2) ) )
            & ( ! [X4] :
                  ( ~ element(X4,the_carrier(X0))
                  | related(X0,X4,X1)
                  | ~ in(X4,X2) )
              | ~ relstr_set_smaller(X0,X2,X1) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f209,f210]) ).

fof(f210,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( element(X3,the_carrier(X0))
          & ~ related(X0,X3,X1)
          & in(X3,X2) )
     => ( element(sK13(X0,X1,X2),the_carrier(X0))
        & ~ related(X0,sK13(X0,X1,X2),X1)
        & in(sK13(X0,X1,X2),X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f209,plain,
    ! [X0] :
      ( ~ rel_str(X0)
      | ! [X1,X2] :
          ( ~ element(X1,the_carrier(X0))
          | ( ( relstr_set_smaller(X0,X2,X1)
              | ? [X3] :
                  ( element(X3,the_carrier(X0))
                  & ~ related(X0,X3,X1)
                  & in(X3,X2) ) )
            & ( ! [X4] :
                  ( ~ element(X4,the_carrier(X0))
                  | related(X0,X4,X1)
                  | ~ in(X4,X2) )
              | ~ relstr_set_smaller(X0,X2,X1) ) ) ) ),
    inference(rectify,[],[f208]) ).

fof(f208,plain,
    ! [X0] :
      ( ~ rel_str(X0)
      | ! [X2,X1] :
          ( ~ element(X2,the_carrier(X0))
          | ( ( relstr_set_smaller(X0,X1,X2)
              | ? [X3] :
                  ( element(X3,the_carrier(X0))
                  & ~ related(X0,X3,X2)
                  & in(X3,X1) ) )
            & ( ! [X3] :
                  ( ~ element(X3,the_carrier(X0))
                  | related(X0,X3,X2)
                  | ~ in(X3,X1) )
              | ~ relstr_set_smaller(X0,X1,X2) ) ) ) ),
    inference(nnf_transformation,[],[f149]) ).

fof(f149,plain,
    ! [X0] :
      ( ~ rel_str(X0)
      | ! [X2,X1] :
          ( ~ element(X2,the_carrier(X0))
          | ( relstr_set_smaller(X0,X1,X2)
          <=> ! [X3] :
                ( ~ element(X3,the_carrier(X0))
                | related(X0,X3,X2)
                | ~ in(X3,X1) ) ) ) ),
    inference(flattening,[],[f148]) ).

fof(f148,plain,
    ! [X0] :
      ( ! [X2,X1] :
          ( ( ! [X3] :
                ( related(X0,X3,X2)
                | ~ in(X3,X1)
                | ~ element(X3,the_carrier(X0)) )
          <=> relstr_set_smaller(X0,X1,X2) )
          | ~ element(X2,the_carrier(X0)) )
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( rel_str(X0)
     => ! [X2,X1] :
          ( element(X2,the_carrier(X0))
         => ( ! [X3] :
                ( element(X3,the_carrier(X0))
               => ( in(X3,X1)
                 => related(X0,X3,X2) ) )
          <=> relstr_set_smaller(X0,X1,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_lattice3) ).

fof(f9017,plain,
    ( related(sF21,sK13(sF21,sK3,sK1),sK3)
    | ~ spl24_171 ),
    inference(avatar_component_clause,[],[f9015]) ).

fof(f9015,plain,
    ( spl24_171
  <=> related(sF21,sK13(sF21,sK3,sK1),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_171])]) ).

fof(f9465,plain,
    ( spl24_2
    | ~ spl24_164
    | ~ spl24_175 ),
    inference(avatar_contradiction_clause,[],[f9464]) ).

fof(f9464,plain,
    ( $false
    | spl24_2
    | ~ spl24_164
    | ~ spl24_175 ),
    inference(subsumption_resolution,[],[f9463,f353]) ).

fof(f9463,plain,
    ( ~ element(sK3,sF23)
    | spl24_2
    | ~ spl24_164
    | ~ spl24_175 ),
    inference(forward_demodulation,[],[f9462,f352]) ).

fof(f9462,plain,
    ( ~ element(sK3,the_carrier(sK2))
    | spl24_2
    | ~ spl24_164
    | ~ spl24_175 ),
    inference(subsumption_resolution,[],[f9461,f253]) ).

fof(f9461,plain,
    ( ~ element(sK3,the_carrier(sK2))
    | empty_carrier(sK2)
    | spl24_2
    | ~ spl24_164
    | ~ spl24_175 ),
    inference(subsumption_resolution,[],[f9460,f248]) ).

fof(f9460,plain,
    ( ~ latt_str(sK2)
    | empty_carrier(sK2)
    | ~ element(sK3,the_carrier(sK2))
    | spl24_2
    | ~ spl24_164
    | ~ spl24_175 ),
    inference(subsumption_resolution,[],[f9458,f361]) ).

fof(f361,plain,
    ( ~ latt_element_smaller(sK2,sK3,sK1)
    | spl24_2 ),
    inference(avatar_component_clause,[],[f359]) ).

fof(f359,plain,
    ( spl24_2
  <=> latt_element_smaller(sK2,sK3,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_2])]) ).

fof(f9458,plain,
    ( ~ element(sK3,the_carrier(sK2))
    | latt_element_smaller(sK2,sK3,sK1)
    | empty_carrier(sK2)
    | ~ latt_str(sK2)
    | ~ spl24_164
    | ~ spl24_175 ),
    inference(resolution,[],[f9424,f319]) ).

fof(f319,plain,
    ! [X2,X0,X1] :
      ( ~ below(X0,sK15(X0,X1,X2),X1)
      | empty_carrier(X0)
      | latt_element_smaller(X0,X1,X2)
      | ~ latt_str(X0)
      | ~ element(X1,the_carrier(X0)) ),
    inference(cnf_transformation,[],[f217]) ).

fof(f217,plain,
    ! [X0] :
      ( ~ latt_str(X0)
      | ! [X1] :
          ( ~ element(X1,the_carrier(X0))
          | ! [X2] :
              ( ( latt_element_smaller(X0,X1,X2)
                | ( ~ below(X0,sK15(X0,X1,X2),X1)
                  & element(sK15(X0,X1,X2),the_carrier(X0))
                  & in(sK15(X0,X1,X2),X2) ) )
              & ( ! [X4] :
                    ( below(X0,X4,X1)
                    | ~ element(X4,the_carrier(X0))
                    | ~ in(X4,X2) )
                | ~ latt_element_smaller(X0,X1,X2) ) ) )
      | empty_carrier(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f215,f216]) ).

fof(f216,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ~ below(X0,X3,X1)
          & element(X3,the_carrier(X0))
          & in(X3,X2) )
     => ( ~ below(X0,sK15(X0,X1,X2),X1)
        & element(sK15(X0,X1,X2),the_carrier(X0))
        & in(sK15(X0,X1,X2),X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f215,plain,
    ! [X0] :
      ( ~ latt_str(X0)
      | ! [X1] :
          ( ~ element(X1,the_carrier(X0))
          | ! [X2] :
              ( ( latt_element_smaller(X0,X1,X2)
                | ? [X3] :
                    ( ~ below(X0,X3,X1)
                    & element(X3,the_carrier(X0))
                    & in(X3,X2) ) )
              & ( ! [X4] :
                    ( below(X0,X4,X1)
                    | ~ element(X4,the_carrier(X0))
                    | ~ in(X4,X2) )
                | ~ latt_element_smaller(X0,X1,X2) ) ) )
      | empty_carrier(X0) ),
    inference(rectify,[],[f214]) ).

fof(f214,plain,
    ! [X0] :
      ( ~ latt_str(X0)
      | ! [X1] :
          ( ~ element(X1,the_carrier(X0))
          | ! [X2] :
              ( ( latt_element_smaller(X0,X1,X2)
                | ? [X3] :
                    ( ~ below(X0,X3,X1)
                    & element(X3,the_carrier(X0))
                    & in(X3,X2) ) )
              & ( ! [X3] :
                    ( below(X0,X3,X1)
                    | ~ element(X3,the_carrier(X0))
                    | ~ in(X3,X2) )
                | ~ latt_element_smaller(X0,X1,X2) ) ) )
      | empty_carrier(X0) ),
    inference(nnf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0] :
      ( ~ latt_str(X0)
      | ! [X1] :
          ( ~ element(X1,the_carrier(X0))
          | ! [X2] :
              ( latt_element_smaller(X0,X1,X2)
            <=> ! [X3] :
                  ( below(X0,X3,X1)
                  | ~ element(X3,the_carrier(X0))
                  | ~ in(X3,X2) ) ) )
      | empty_carrier(X0) ),
    inference(flattening,[],[f116]) ).

fof(f116,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( below(X0,X3,X1)
                  | ~ in(X3,X2)
                  | ~ element(X3,the_carrier(X0)) )
            <=> latt_element_smaller(X0,X1,X2) )
          | ~ element(X1,the_carrier(X0)) )
      | empty_carrier(X0)
      | ~ latt_str(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( ( ~ empty_carrier(X0)
        & latt_str(X0) )
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => ! [X2] :
              ( ! [X3] :
                  ( element(X3,the_carrier(X0))
                 => ( in(X3,X2)
                   => below(X0,X3,X1) ) )
            <=> latt_element_smaller(X0,X1,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d17_lattice3) ).

fof(f9424,plain,
    ( below(sK2,sK15(sK2,sK3,sK1),sK3)
    | ~ spl24_164
    | ~ spl24_175 ),
    inference(subsumption_resolution,[],[f9423,f8740]) ).

fof(f8740,plain,
    ( element(sK15(sK2,sK3,sK1),sF23)
    | ~ spl24_164 ),
    inference(avatar_component_clause,[],[f8739]) ).

fof(f8739,plain,
    ( spl24_164
  <=> element(sK15(sK2,sK3,sK1),sF23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_164])]) ).

fof(f9423,plain,
    ( ~ element(sK15(sK2,sK3,sK1),sF23)
    | below(sK2,sK15(sK2,sK3,sK1),sK3)
    | ~ spl24_175 ),
    inference(forward_demodulation,[],[f9422,f352]) ).

fof(f9422,plain,
    ( below(sK2,sK15(sK2,sK3,sK1),sK3)
    | ~ element(sK15(sK2,sK3,sK1),the_carrier(sK2))
    | ~ spl24_175 ),
    inference(subsumption_resolution,[],[f9421,f353]) ).

fof(f9421,plain,
    ( ~ element(sK3,sF23)
    | ~ element(sK15(sK2,sK3,sK1),the_carrier(sK2))
    | below(sK2,sK15(sK2,sK3,sK1),sK3)
    | ~ spl24_175 ),
    inference(forward_demodulation,[],[f9420,f352]) ).

fof(f9420,plain,
    ( below(sK2,sK15(sK2,sK3,sK1),sK3)
    | ~ element(sK3,the_carrier(sK2))
    | ~ element(sK15(sK2,sK3,sK1),the_carrier(sK2))
    | ~ spl24_175 ),
    inference(subsumption_resolution,[],[f9419,f248]) ).

fof(f9419,plain,
    ( ~ element(sK15(sK2,sK3,sK1),the_carrier(sK2))
    | ~ element(sK3,the_carrier(sK2))
    | ~ latt_str(sK2)
    | below(sK2,sK15(sK2,sK3,sK1),sK3)
    | ~ spl24_175 ),
    inference(subsumption_resolution,[],[f9418,f427]) ).

fof(f427,plain,
    meet_absorbing(sK2),
    inference(subsumption_resolution,[],[f426,f248]) ).

fof(f426,plain,
    ( ~ latt_str(sK2)
    | meet_absorbing(sK2) ),
    inference(subsumption_resolution,[],[f425,f253]) ).

fof(f425,plain,
    ( meet_absorbing(sK2)
    | empty_carrier(sK2)
    | ~ latt_str(sK2) ),
    inference(resolution,[],[f298,f252]) ).

fof(f298,plain,
    ! [X0] :
      ( ~ lattice(X0)
      | meet_absorbing(X0)
      | empty_carrier(X0)
      | ~ latt_str(X0) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f96,plain,
    ! [X0] :
      ( ~ latt_str(X0)
      | ~ lattice(X0)
      | ( ~ empty_carrier(X0)
        & join_associative(X0)
        & join_commutative(X0)
        & meet_commutative(X0)
        & meet_associative(X0)
        & meet_absorbing(X0)
        & join_absorbing(X0) )
      | empty_carrier(X0) ),
    inference(flattening,[],[f95]) ).

fof(f95,plain,
    ! [X0] :
      ( ( ~ empty_carrier(X0)
        & join_associative(X0)
        & join_commutative(X0)
        & meet_commutative(X0)
        & meet_associative(X0)
        & meet_absorbing(X0)
        & join_absorbing(X0) )
      | empty_carrier(X0)
      | ~ lattice(X0)
      | ~ latt_str(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( latt_str(X0)
     => ( ( ~ empty_carrier(X0)
          & lattice(X0) )
       => ( ~ empty_carrier(X0)
          & join_associative(X0)
          & join_commutative(X0)
          & meet_commutative(X0)
          & meet_associative(X0)
          & meet_absorbing(X0)
          & join_absorbing(X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).

fof(f9418,plain,
    ( ~ element(sK3,the_carrier(sK2))
    | ~ meet_absorbing(sK2)
    | below(sK2,sK15(sK2,sK3,sK1),sK3)
    | ~ latt_str(sK2)
    | ~ element(sK15(sK2,sK3,sK1),the_carrier(sK2))
    | ~ spl24_175 ),
    inference(subsumption_resolution,[],[f9417,f433]) ).

fof(f433,plain,
    meet_commutative(sK2),
    inference(subsumption_resolution,[],[f432,f253]) ).

fof(f432,plain,
    ( empty_carrier(sK2)
    | meet_commutative(sK2) ),
    inference(subsumption_resolution,[],[f431,f248]) ).

fof(f431,plain,
    ( ~ latt_str(sK2)
    | meet_commutative(sK2)
    | empty_carrier(sK2) ),
    inference(resolution,[],[f300,f252]) ).

fof(f300,plain,
    ! [X0] :
      ( ~ lattice(X0)
      | empty_carrier(X0)
      | ~ latt_str(X0)
      | meet_commutative(X0) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f9417,plain,
    ( ~ meet_commutative(sK2)
    | below(sK2,sK15(sK2,sK3,sK1),sK3)
    | ~ latt_str(sK2)
    | ~ element(sK3,the_carrier(sK2))
    | ~ meet_absorbing(sK2)
    | ~ element(sK15(sK2,sK3,sK1),the_carrier(sK2))
    | ~ spl24_175 ),
    inference(subsumption_resolution,[],[f9416,f253]) ).

fof(f9416,plain,
    ( below(sK2,sK15(sK2,sK3,sK1),sK3)
    | ~ element(sK3,the_carrier(sK2))
    | empty_carrier(sK2)
    | ~ element(sK15(sK2,sK3,sK1),the_carrier(sK2))
    | ~ meet_commutative(sK2)
    | ~ meet_absorbing(sK2)
    | ~ latt_str(sK2)
    | ~ spl24_175 ),
    inference(subsumption_resolution,[],[f9415,f424]) ).

fof(f424,plain,
    join_absorbing(sK2),
    inference(subsumption_resolution,[],[f423,f248]) ).

fof(f423,plain,
    ( join_absorbing(sK2)
    | ~ latt_str(sK2) ),
    inference(subsumption_resolution,[],[f422,f253]) ).

fof(f422,plain,
    ( empty_carrier(sK2)
    | join_absorbing(sK2)
    | ~ latt_str(sK2) ),
    inference(resolution,[],[f297,f252]) ).

fof(f297,plain,
    ! [X0] :
      ( ~ lattice(X0)
      | ~ latt_str(X0)
      | empty_carrier(X0)
      | join_absorbing(X0) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f9415,plain,
    ( ~ join_absorbing(sK2)
    | below(sK2,sK15(sK2,sK3,sK1),sK3)
    | ~ meet_absorbing(sK2)
    | ~ meet_commutative(sK2)
    | empty_carrier(sK2)
    | ~ latt_str(sK2)
    | ~ element(sK3,the_carrier(sK2))
    | ~ element(sK15(sK2,sK3,sK1),the_carrier(sK2))
    | ~ spl24_175 ),
    inference(resolution,[],[f9241,f273]) ).

fof(f273,plain,
    ! [X2,X0,X1] :
      ( ~ below_refl(X1,X0,X2)
      | empty_carrier(X1)
      | ~ latt_str(X1)
      | ~ element(X2,the_carrier(X1))
      | ~ meet_absorbing(X1)
      | ~ join_absorbing(X1)
      | ~ element(X0,the_carrier(X1))
      | ~ meet_commutative(X1)
      | below(X1,X0,X2) ),
    inference(cnf_transformation,[],[f197]) ).

fof(f197,plain,
    ! [X0,X1,X2] :
      ( ~ element(X2,the_carrier(X1))
      | ~ meet_absorbing(X1)
      | ~ latt_str(X1)
      | ~ join_absorbing(X1)
      | ( ( below(X1,X0,X2)
          | ~ below_refl(X1,X0,X2) )
        & ( below_refl(X1,X0,X2)
          | ~ below(X1,X0,X2) ) )
      | ~ element(X0,the_carrier(X1))
      | ~ meet_commutative(X1)
      | empty_carrier(X1) ),
    inference(rectify,[],[f196]) ).

fof(f196,plain,
    ! [X1,X2,X0] :
      ( ~ element(X0,the_carrier(X2))
      | ~ meet_absorbing(X2)
      | ~ latt_str(X2)
      | ~ join_absorbing(X2)
      | ( ( below(X2,X1,X0)
          | ~ below_refl(X2,X1,X0) )
        & ( below_refl(X2,X1,X0)
          | ~ below(X2,X1,X0) ) )
      | ~ element(X1,the_carrier(X2))
      | ~ meet_commutative(X2)
      | empty_carrier(X2) ),
    inference(nnf_transformation,[],[f109]) ).

fof(f109,plain,
    ! [X1,X2,X0] :
      ( ~ element(X0,the_carrier(X2))
      | ~ meet_absorbing(X2)
      | ~ latt_str(X2)
      | ~ join_absorbing(X2)
      | ( below(X2,X1,X0)
      <=> below_refl(X2,X1,X0) )
      | ~ element(X1,the_carrier(X2))
      | ~ meet_commutative(X2)
      | empty_carrier(X2) ),
    inference(flattening,[],[f108]) ).

fof(f108,plain,
    ! [X1,X2,X0] :
      ( ( below(X2,X1,X0)
      <=> below_refl(X2,X1,X0) )
      | ~ element(X0,the_carrier(X2))
      | ~ element(X1,the_carrier(X2))
      | ~ meet_commutative(X2)
      | ~ join_absorbing(X2)
      | ~ latt_str(X2)
      | ~ meet_absorbing(X2)
      | empty_carrier(X2) ),
    inference(ennf_transformation,[],[f88]) ).

fof(f88,plain,
    ! [X1,X2,X0] :
      ( ( element(X0,the_carrier(X2))
        & element(X1,the_carrier(X2))
        & meet_commutative(X2)
        & join_absorbing(X2)
        & latt_str(X2)
        & meet_absorbing(X2)
        & ~ empty_carrier(X2) )
     => ( below(X2,X1,X0)
      <=> below_refl(X2,X1,X0) ) ),
    inference(rectify,[],[f57]) ).

fof(f57,axiom,
    ! [X2,X1,X0] :
      ( ( ~ empty_carrier(X0)
        & element(X1,the_carrier(X0))
        & meet_absorbing(X0)
        & latt_str(X0)
        & meet_commutative(X0)
        & element(X2,the_carrier(X0))
        & join_absorbing(X0) )
     => ( below(X0,X1,X2)
      <=> below_refl(X0,X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r3_lattices) ).

fof(f9241,plain,
    ( below_refl(sK2,sK15(sK2,sK3,sK1),sK3)
    | ~ spl24_175 ),
    inference(avatar_component_clause,[],[f9239]) ).

fof(f9239,plain,
    ( spl24_175
  <=> below_refl(sK2,sK15(sK2,sK3,sK1),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_175])]) ).

fof(f9308,plain,
    ( ~ spl24_1
    | spl24_2
    | ~ spl24_164
    | spl24_174 ),
    inference(avatar_contradiction_clause,[],[f9307]) ).

fof(f9307,plain,
    ( $false
    | ~ spl24_1
    | spl24_2
    | ~ spl24_164
    | spl24_174 ),
    inference(subsumption_resolution,[],[f9306,f353]) ).

fof(f9306,plain,
    ( ~ element(sK3,sF23)
    | ~ spl24_1
    | spl24_2
    | ~ spl24_164
    | spl24_174 ),
    inference(forward_demodulation,[],[f9305,f352]) ).

fof(f9305,plain,
    ( ~ element(sK3,the_carrier(sK2))
    | ~ spl24_1
    | spl24_2
    | ~ spl24_164
    | spl24_174 ),
    inference(subsumption_resolution,[],[f9304,f248]) ).

fof(f9304,plain,
    ( ~ latt_str(sK2)
    | ~ element(sK3,the_carrier(sK2))
    | ~ spl24_1
    | spl24_2
    | ~ spl24_164
    | spl24_174 ),
    inference(subsumption_resolution,[],[f9303,f253]) ).

fof(f9303,plain,
    ( ~ element(sK3,the_carrier(sK2))
    | empty_carrier(sK2)
    | ~ latt_str(sK2)
    | ~ spl24_1
    | spl24_2
    | ~ spl24_164
    | spl24_174 ),
    inference(subsumption_resolution,[],[f9302,f361]) ).

fof(f9302,plain,
    ( latt_element_smaller(sK2,sK3,sK1)
    | ~ element(sK3,the_carrier(sK2))
    | ~ latt_str(sK2)
    | empty_carrier(sK2)
    | ~ spl24_1
    | ~ spl24_164
    | spl24_174 ),
    inference(resolution,[],[f9279,f317]) ).

fof(f317,plain,
    ! [X2,X0,X1] :
      ( in(sK15(X0,X1,X2),X2)
      | empty_carrier(X0)
      | ~ element(X1,the_carrier(X0))
      | latt_element_smaller(X0,X1,X2)
      | ~ latt_str(X0) ),
    inference(cnf_transformation,[],[f217]) ).

fof(f9279,plain,
    ( ~ in(sK15(sK2,sK3,sK1),sK1)
    | ~ spl24_1
    | ~ spl24_164
    | spl24_174 ),
    inference(subsumption_resolution,[],[f9278,f8740]) ).

fof(f9278,plain,
    ( ~ element(sK15(sK2,sK3,sK1),sF23)
    | ~ in(sK15(sK2,sK3,sK1),sK1)
    | ~ spl24_1
    | spl24_174 ),
    inference(resolution,[],[f9237,f9085]) ).

fof(f9085,plain,
    ( ! [X1] :
        ( related_reflexive(sF21,X1,sK3)
        | ~ in(X1,sK1)
        | ~ element(X1,sF23) )
    | ~ spl24_1 ),
    inference(duplicate_literal_removal,[],[f9084]) ).

fof(f9084,plain,
    ( ! [X1] :
        ( ~ element(X1,sF23)
        | ~ in(X1,sK1)
        | related_reflexive(sF21,X1,sK3)
        | ~ element(X1,sF23) )
    | ~ spl24_1 ),
    inference(forward_demodulation,[],[f9083,f757]) ).

fof(f9083,plain,
    ( ! [X1] :
        ( ~ in(X1,sK1)
        | ~ element(X1,the_carrier(sF21))
        | related_reflexive(sF21,X1,sK3)
        | ~ element(X1,sF23) )
    | ~ spl24_1 ),
    inference(subsumption_resolution,[],[f9082,f353]) ).

fof(f9082,plain,
    ( ! [X1] :
        ( related_reflexive(sF21,X1,sK3)
        | ~ element(X1,sF23)
        | ~ element(X1,the_carrier(sF21))
        | ~ element(sK3,sF23)
        | ~ in(X1,sK1) )
    | ~ spl24_1 ),
    inference(forward_demodulation,[],[f9081,f757]) ).

fof(f9081,plain,
    ( ! [X1] :
        ( ~ element(sK3,the_carrier(sF21))
        | ~ element(X1,sF23)
        | ~ element(X1,the_carrier(sF21))
        | ~ in(X1,sK1)
        | related_reflexive(sF21,X1,sK3) )
    | ~ spl24_1 ),
    inference(subsumption_resolution,[],[f9080,f450]) ).

fof(f450,plain,
    ~ empty_carrier(sF21),
    inference(subsumption_resolution,[],[f449,f248]) ).

fof(f449,plain,
    ( ~ empty_carrier(sF21)
    | ~ latt_str(sK2) ),
    inference(subsumption_resolution,[],[f448,f253]) ).

fof(f448,plain,
    ( ~ empty_carrier(sF21)
    | empty_carrier(sK2)
    | ~ latt_str(sK2) ),
    inference(subsumption_resolution,[],[f447,f252]) ).

fof(f447,plain,
    ( ~ lattice(sK2)
    | empty_carrier(sK2)
    | ~ empty_carrier(sF21)
    | ~ latt_str(sK2) ),
    inference(superposition,[],[f242,f348]) ).

fof(f242,plain,
    ! [X0] :
      ( ~ empty_carrier(poset_of_lattice(X0))
      | ~ latt_str(X0)
      | empty_carrier(X0)
      | ~ lattice(X0) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f9080,plain,
    ( ! [X1] :
        ( ~ element(sK3,the_carrier(sF21))
        | empty_carrier(sF21)
        | ~ element(X1,sF23)
        | ~ element(X1,the_carrier(sF21))
        | related_reflexive(sF21,X1,sK3)
        | ~ in(X1,sK1) )
    | ~ spl24_1 ),
    inference(subsumption_resolution,[],[f9079,f493]) ).

fof(f9079,plain,
    ( ! [X1] :
        ( ~ rel_str(sF21)
        | ~ in(X1,sK1)
        | ~ element(X1,the_carrier(sF21))
        | empty_carrier(sF21)
        | ~ element(sK3,the_carrier(sF21))
        | ~ element(X1,sF23)
        | related_reflexive(sF21,X1,sK3) )
    | ~ spl24_1 ),
    inference(subsumption_resolution,[],[f9075,f454]) ).

fof(f454,plain,
    reflexive_relstr(sF21),
    inference(subsumption_resolution,[],[f453,f253]) ).

fof(f453,plain,
    ( reflexive_relstr(sF21)
    | empty_carrier(sK2) ),
    inference(subsumption_resolution,[],[f452,f248]) ).

fof(f452,plain,
    ( ~ latt_str(sK2)
    | empty_carrier(sK2)
    | reflexive_relstr(sF21) ),
    inference(subsumption_resolution,[],[f451,f252]) ).

fof(f451,plain,
    ( ~ lattice(sK2)
    | ~ latt_str(sK2)
    | reflexive_relstr(sF21)
    | empty_carrier(sK2) ),
    inference(superposition,[],[f243,f348]) ).

fof(f243,plain,
    ! [X0] :
      ( reflexive_relstr(poset_of_lattice(X0))
      | ~ latt_str(X0)
      | empty_carrier(X0)
      | ~ lattice(X0) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f9075,plain,
    ( ! [X1] :
        ( ~ reflexive_relstr(sF21)
        | related_reflexive(sF21,X1,sK3)
        | ~ element(X1,the_carrier(sF21))
        | empty_carrier(sF21)
        | ~ element(sK3,the_carrier(sF21))
        | ~ rel_str(sF21)
        | ~ in(X1,sK1)
        | ~ element(X1,sF23) )
    | ~ spl24_1 ),
    inference(resolution,[],[f9073,f336]) ).

fof(f336,plain,
    ! [X2,X0,X1] :
      ( ~ related(X1,X2,X0)
      | related_reflexive(X1,X2,X0)
      | empty_carrier(X1)
      | ~ element(X0,the_carrier(X1))
      | ~ rel_str(X1)
      | ~ reflexive_relstr(X1)
      | ~ element(X2,the_carrier(X1)) ),
    inference(cnf_transformation,[],[f221]) ).

fof(f221,plain,
    ! [X0,X1,X2] :
      ( ~ reflexive_relstr(X1)
      | ~ element(X0,the_carrier(X1))
      | ( ( related_reflexive(X1,X2,X0)
          | ~ related(X1,X2,X0) )
        & ( related(X1,X2,X0)
          | ~ related_reflexive(X1,X2,X0) ) )
      | ~ element(X2,the_carrier(X1))
      | empty_carrier(X1)
      | ~ rel_str(X1) ),
    inference(rectify,[],[f220]) ).

fof(f220,plain,
    ! [X1,X0,X2] :
      ( ~ reflexive_relstr(X0)
      | ~ element(X1,the_carrier(X0))
      | ( ( related_reflexive(X0,X2,X1)
          | ~ related(X0,X2,X1) )
        & ( related(X0,X2,X1)
          | ~ related_reflexive(X0,X2,X1) ) )
      | ~ element(X2,the_carrier(X0))
      | empty_carrier(X0)
      | ~ rel_str(X0) ),
    inference(nnf_transformation,[],[f154]) ).

fof(f154,plain,
    ! [X1,X0,X2] :
      ( ~ reflexive_relstr(X0)
      | ~ element(X1,the_carrier(X0))
      | ( related_reflexive(X0,X2,X1)
      <=> related(X0,X2,X1) )
      | ~ element(X2,the_carrier(X0))
      | empty_carrier(X0)
      | ~ rel_str(X0) ),
    inference(flattening,[],[f153]) ).

fof(f153,plain,
    ! [X0,X1,X2] :
      ( ( related_reflexive(X0,X2,X1)
      <=> related(X0,X2,X1) )
      | ~ reflexive_relstr(X0)
      | ~ element(X2,the_carrier(X0))
      | ~ rel_str(X0)
      | empty_carrier(X0)
      | ~ element(X1,the_carrier(X0)) ),
    inference(ennf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0,X1,X2] :
      ( ( reflexive_relstr(X0)
        & element(X2,the_carrier(X0))
        & rel_str(X0)
        & ~ empty_carrier(X0)
        & element(X1,the_carrier(X0)) )
     => ( related_reflexive(X0,X2,X1)
      <=> related(X0,X2,X1) ) ),
    inference(rectify,[],[f58]) ).

fof(f58,axiom,
    ! [X0,X2,X1] :
      ( ( ~ empty_carrier(X0)
        & element(X1,the_carrier(X0))
        & reflexive_relstr(X0)
        & rel_str(X0)
        & element(X2,the_carrier(X0)) )
     => ( related(X0,X1,X2)
      <=> related_reflexive(X0,X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r3_orders_2) ).

fof(f9073,plain,
    ( ! [X0] :
        ( related(sF21,X0,sK3)
        | ~ element(X0,sF23)
        | ~ in(X0,sK1) )
    | ~ spl24_1 ),
    inference(forward_demodulation,[],[f9072,f757]) ).

fof(f9072,plain,
    ( ! [X0] :
        ( ~ in(X0,sK1)
        | related(sF21,X0,sK3)
        | ~ element(X0,the_carrier(sF21)) )
    | ~ spl24_1 ),
    inference(subsumption_resolution,[],[f9071,f353]) ).

fof(f9071,plain,
    ( ! [X0] :
        ( ~ element(sK3,sF23)
        | ~ in(X0,sK1)
        | ~ element(X0,the_carrier(sF21))
        | related(sF21,X0,sK3) )
    | ~ spl24_1 ),
    inference(forward_demodulation,[],[f9070,f757]) ).

fof(f9070,plain,
    ( ! [X0] :
        ( ~ in(X0,sK1)
        | ~ element(sK3,the_carrier(sF21))
        | ~ element(X0,the_carrier(sF21))
        | related(sF21,X0,sK3) )
    | ~ spl24_1 ),
    inference(subsumption_resolution,[],[f9069,f493]) ).

fof(f9069,plain,
    ( ! [X0] :
        ( ~ in(X0,sK1)
        | ~ element(sK3,the_carrier(sF21))
        | related(sF21,X0,sK3)
        | ~ element(X0,the_carrier(sF21))
        | ~ rel_str(sF21) )
    | ~ spl24_1 ),
    inference(resolution,[],[f9062,f311]) ).

fof(f311,plain,
    ! [X2,X0,X1,X4] :
      ( ~ relstr_set_smaller(X0,X2,X1)
      | related(X0,X4,X1)
      | ~ element(X1,the_carrier(X0))
      | ~ in(X4,X2)
      | ~ element(X4,the_carrier(X0))
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f211]) ).

fof(f9062,plain,
    ( relstr_set_smaller(sF21,sK1,sK3)
    | ~ spl24_1 ),
    inference(forward_demodulation,[],[f356,f922]) ).

fof(f356,plain,
    ( relstr_set_smaller(sF21,sK1,sF22)
    | ~ spl24_1 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f9237,plain,
    ( ~ related_reflexive(sF21,sK15(sK2,sK3,sK1),sK3)
    | spl24_174 ),
    inference(avatar_component_clause,[],[f9235]) ).

fof(f9235,plain,
    ( spl24_174
  <=> related_reflexive(sF21,sK15(sK2,sK3,sK1),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_174])]) ).

fof(f9242,plain,
    ( ~ spl24_174
    | spl24_175
    | spl24_2
    | ~ spl24_164 ),
    inference(avatar_split_clause,[],[f9233,f8739,f359,f9239,f9235]) ).

fof(f9233,plain,
    ( below_refl(sK2,sK15(sK2,sK3,sK1),sK3)
    | ~ related_reflexive(sF21,sK15(sK2,sK3,sK1),sK3)
    | spl24_2
    | ~ spl24_164 ),
    inference(subsumption_resolution,[],[f9153,f8740]) ).

fof(f9153,plain,
    ( ~ related_reflexive(sF21,sK15(sK2,sK3,sK1),sK3)
    | ~ element(sK15(sK2,sK3,sK1),sF23)
    | below_refl(sK2,sK15(sK2,sK3,sK1),sK3)
    | spl24_2 ),
    inference(superposition,[],[f2663,f9067]) ).

fof(f9067,plain,
    ( sK15(sK2,sK3,sK1) = cast_to_el_of_LattPOSet(sK2,sK15(sK2,sK3,sK1))
    | spl24_2 ),
    inference(subsumption_resolution,[],[f9063,f353]) ).

fof(f9063,plain,
    ( ~ element(sK3,sF23)
    | sK15(sK2,sK3,sK1) = cast_to_el_of_LattPOSet(sK2,sK15(sK2,sK3,sK1))
    | spl24_2 ),
    inference(resolution,[],[f361,f3630]) ).

fof(f3630,plain,
    ! [X2,X3] :
      ( latt_element_smaller(sK2,X2,X3)
      | cast_to_el_of_LattPOSet(sK2,sK15(sK2,X2,X3)) = sK15(sK2,X2,X3)
      | ~ element(X2,sF23) ),
    inference(resolution,[],[f1499,f830]) ).

fof(f1499,plain,
    ! [X0,X1] :
      ( element(sK15(sK2,X0,X1),sF23)
      | latt_element_smaller(sK2,X0,X1)
      | ~ element(X0,sF23) ),
    inference(subsumption_resolution,[],[f1498,f248]) ).

fof(f1498,plain,
    ! [X0,X1] :
      ( ~ element(X0,sF23)
      | ~ latt_str(sK2)
      | element(sK15(sK2,X0,X1),sF23)
      | latt_element_smaller(sK2,X0,X1) ),
    inference(subsumption_resolution,[],[f1488,f253]) ).

fof(f1488,plain,
    ! [X0,X1] :
      ( latt_element_smaller(sK2,X0,X1)
      | empty_carrier(sK2)
      | ~ element(X0,sF23)
      | element(sK15(sK2,X0,X1),sF23)
      | ~ latt_str(sK2) ),
    inference(superposition,[],[f318,f352]) ).

fof(f318,plain,
    ! [X2,X0,X1] :
      ( element(sK15(X0,X1,X2),the_carrier(X0))
      | empty_carrier(X0)
      | latt_element_smaller(X0,X1,X2)
      | ~ element(X1,the_carrier(X0))
      | ~ latt_str(X0) ),
    inference(cnf_transformation,[],[f217]) ).

fof(f2663,plain,
    ! [X0] :
      ( ~ related_reflexive(sF21,cast_to_el_of_LattPOSet(sK2,X0),sK3)
      | below_refl(sK2,X0,sK3)
      | ~ element(X0,sF23) ),
    inference(forward_demodulation,[],[f2662,f348]) ).

fof(f2662,plain,
    ! [X0] :
      ( ~ related_reflexive(poset_of_lattice(sK2),cast_to_el_of_LattPOSet(sK2,X0),sK3)
      | below_refl(sK2,X0,sK3)
      | ~ element(X0,sF23) ),
    inference(subsumption_resolution,[],[f2661,f353]) ).

fof(f2661,plain,
    ! [X0] :
      ( ~ related_reflexive(poset_of_lattice(sK2),cast_to_el_of_LattPOSet(sK2,X0),sK3)
      | below_refl(sK2,X0,sK3)
      | ~ element(X0,sF23)
      | ~ element(sK3,sF23) ),
    inference(forward_demodulation,[],[f2660,f352]) ).

fof(f2660,plain,
    ! [X0] :
      ( ~ element(sK3,the_carrier(sK2))
      | below_refl(sK2,X0,sK3)
      | ~ element(X0,sF23)
      | ~ related_reflexive(poset_of_lattice(sK2),cast_to_el_of_LattPOSet(sK2,X0),sK3) ),
    inference(forward_demodulation,[],[f2659,f352]) ).

fof(f2659,plain,
    ! [X0] :
      ( ~ element(X0,the_carrier(sK2))
      | ~ related_reflexive(poset_of_lattice(sK2),cast_to_el_of_LattPOSet(sK2,X0),sK3)
      | ~ element(sK3,the_carrier(sK2))
      | below_refl(sK2,X0,sK3) ),
    inference(subsumption_resolution,[],[f2658,f253]) ).

fof(f2658,plain,
    ! [X0] :
      ( ~ element(sK3,the_carrier(sK2))
      | below_refl(sK2,X0,sK3)
      | empty_carrier(sK2)
      | ~ related_reflexive(poset_of_lattice(sK2),cast_to_el_of_LattPOSet(sK2,X0),sK3)
      | ~ element(X0,the_carrier(sK2)) ),
    inference(subsumption_resolution,[],[f2657,f248]) ).

fof(f2657,plain,
    ! [X0] :
      ( ~ latt_str(sK2)
      | empty_carrier(sK2)
      | ~ element(X0,the_carrier(sK2))
      | ~ element(sK3,the_carrier(sK2))
      | ~ related_reflexive(poset_of_lattice(sK2),cast_to_el_of_LattPOSet(sK2,X0),sK3)
      | below_refl(sK2,X0,sK3) ),
    inference(subsumption_resolution,[],[f2619,f252]) ).

fof(f2619,plain,
    ! [X0] :
      ( below_refl(sK2,X0,sK3)
      | ~ lattice(sK2)
      | ~ related_reflexive(poset_of_lattice(sK2),cast_to_el_of_LattPOSet(sK2,X0),sK3)
      | ~ element(X0,the_carrier(sK2))
      | ~ element(sK3,the_carrier(sK2))
      | ~ latt_str(sK2)
      | empty_carrier(sK2) ),
    inference(superposition,[],[f288,f913]) ).

fof(f288,plain,
    ! [X2,X0,X1] :
      ( ~ related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2))
      | ~ element(X2,the_carrier(X0))
      | empty_carrier(X0)
      | ~ latt_str(X0)
      | below_refl(X0,X1,X2)
      | ~ lattice(X0)
      | ~ element(X1,the_carrier(X0)) ),
    inference(cnf_transformation,[],[f205]) ).

fof(f205,plain,
    ! [X0] :
      ( empty_carrier(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ~ element(X2,the_carrier(X0))
              | ( ( related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2))
                  | ~ below_refl(X0,X1,X2) )
                & ( below_refl(X0,X1,X2)
                  | ~ related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2)) ) ) )
          | ~ element(X1,the_carrier(X0)) )
      | ~ latt_str(X0)
      | ~ lattice(X0) ),
    inference(nnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0] :
      ( empty_carrier(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ~ element(X2,the_carrier(X0))
              | ( related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2))
              <=> below_refl(X0,X1,X2) ) )
          | ~ element(X1,the_carrier(X0)) )
      | ~ latt_str(X0)
      | ~ lattice(X0) ),
    inference(flattening,[],[f126]) ).

fof(f126,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ~ element(X2,the_carrier(X0))
              | ( related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2))
              <=> below_refl(X0,X1,X2) ) )
          | ~ element(X1,the_carrier(X0)) )
      | empty_carrier(X0)
      | ~ lattice(X0)
      | ~ latt_str(X0) ),
    inference(ennf_transformation,[],[f71]) ).

fof(f71,axiom,
    ! [X0] :
      ( ( ~ empty_carrier(X0)
        & lattice(X0)
        & latt_str(X0) )
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => ! [X2] :
              ( element(X2,the_carrier(X0))
             => ( related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2))
              <=> below_refl(X0,X1,X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_lattice3) ).

fof(f9060,plain,
    ( spl24_1
    | ~ spl24_2
    | ~ spl24_161
    | spl24_168 ),
    inference(avatar_contradiction_clause,[],[f9059]) ).

fof(f9059,plain,
    ( $false
    | spl24_1
    | ~ spl24_2
    | ~ spl24_161
    | spl24_168 ),
    inference(subsumption_resolution,[],[f9058,f353]) ).

fof(f9058,plain,
    ( ~ element(sK3,sF23)
    | spl24_1
    | ~ spl24_2
    | ~ spl24_161
    | spl24_168 ),
    inference(forward_demodulation,[],[f9057,f757]) ).

fof(f9057,plain,
    ( ~ element(sK3,the_carrier(sF21))
    | spl24_1
    | ~ spl24_2
    | ~ spl24_161
    | spl24_168 ),
    inference(subsumption_resolution,[],[f9056,f493]) ).

fof(f9056,plain,
    ( ~ rel_str(sF21)
    | ~ element(sK3,the_carrier(sF21))
    | spl24_1
    | ~ spl24_2
    | ~ spl24_161
    | spl24_168 ),
    inference(subsumption_resolution,[],[f9055,f8779]) ).

fof(f8779,plain,
    ( ~ relstr_set_smaller(sF21,sK1,sK3)
    | spl24_1 ),
    inference(forward_demodulation,[],[f357,f922]) ).

fof(f9055,plain,
    ( relstr_set_smaller(sF21,sK1,sK3)
    | ~ element(sK3,the_carrier(sF21))
    | ~ rel_str(sF21)
    | ~ spl24_2
    | ~ spl24_161
    | spl24_168 ),
    inference(resolution,[],[f9054,f312]) ).

fof(f312,plain,
    ! [X2,X0,X1] :
      ( in(sK13(X0,X1,X2),X2)
      | ~ element(X1,the_carrier(X0))
      | ~ rel_str(X0)
      | relstr_set_smaller(X0,X2,X1) ),
    inference(cnf_transformation,[],[f211]) ).

fof(f9054,plain,
    ( ~ in(sK13(sF21,sK3,sK1),sK1)
    | ~ spl24_2
    | ~ spl24_161
    | spl24_168 ),
    inference(subsumption_resolution,[],[f9053,f8150]) ).

fof(f8150,plain,
    ( element(sK13(sF21,sK3,sK1),sF23)
    | ~ spl24_161 ),
    inference(avatar_component_clause,[],[f8149]) ).

fof(f8149,plain,
    ( spl24_161
  <=> element(sK13(sF21,sK3,sK1),sF23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_161])]) ).

fof(f9053,plain,
    ( ~ element(sK13(sF21,sK3,sK1),sF23)
    | ~ in(sK13(sF21,sK3,sK1),sK1)
    | ~ spl24_2
    | spl24_168 ),
    inference(resolution,[],[f8979,f8801]) ).

fof(f8801,plain,
    ( ! [X1] :
        ( below_refl(sK2,X1,sK3)
        | ~ in(X1,sK1)
        | ~ element(X1,sF23) )
    | ~ spl24_2 ),
    inference(duplicate_literal_removal,[],[f8800]) ).

fof(f8800,plain,
    ( ! [X1] :
        ( ~ element(X1,sF23)
        | below_refl(sK2,X1,sK3)
        | ~ in(X1,sK1)
        | ~ element(X1,sF23) )
    | ~ spl24_2 ),
    inference(forward_demodulation,[],[f8799,f352]) ).

fof(f8799,plain,
    ( ! [X1] :
        ( ~ element(X1,the_carrier(sK2))
        | below_refl(sK2,X1,sK3)
        | ~ element(X1,sF23)
        | ~ in(X1,sK1) )
    | ~ spl24_2 ),
    inference(subsumption_resolution,[],[f8798,f353]) ).

fof(f8798,plain,
    ( ! [X1] :
        ( ~ element(X1,sF23)
        | ~ element(X1,the_carrier(sK2))
        | ~ in(X1,sK1)
        | below_refl(sK2,X1,sK3)
        | ~ element(sK3,sF23) )
    | ~ spl24_2 ),
    inference(forward_demodulation,[],[f8797,f352]) ).

fof(f8797,plain,
    ( ! [X1] :
        ( ~ in(X1,sK1)
        | ~ element(sK3,the_carrier(sK2))
        | ~ element(X1,the_carrier(sK2))
        | ~ element(X1,sF23)
        | below_refl(sK2,X1,sK3) )
    | ~ spl24_2 ),
    inference(subsumption_resolution,[],[f8796,f433]) ).

fof(f8796,plain,
    ( ! [X1] :
        ( ~ element(X1,the_carrier(sK2))
        | ~ element(X1,sF23)
        | ~ meet_commutative(sK2)
        | ~ element(sK3,the_carrier(sK2))
        | below_refl(sK2,X1,sK3)
        | ~ in(X1,sK1) )
    | ~ spl24_2 ),
    inference(subsumption_resolution,[],[f8795,f427]) ).

fof(f8795,plain,
    ( ! [X1] :
        ( ~ element(X1,sF23)
        | ~ meet_absorbing(sK2)
        | ~ element(X1,the_carrier(sK2))
        | ~ meet_commutative(sK2)
        | ~ element(sK3,the_carrier(sK2))
        | ~ in(X1,sK1)
        | below_refl(sK2,X1,sK3) )
    | ~ spl24_2 ),
    inference(subsumption_resolution,[],[f8794,f248]) ).

fof(f8794,plain,
    ( ! [X1] :
        ( ~ element(sK3,the_carrier(sK2))
        | ~ element(X1,the_carrier(sK2))
        | ~ latt_str(sK2)
        | ~ meet_commutative(sK2)
        | below_refl(sK2,X1,sK3)
        | ~ element(X1,sF23)
        | ~ in(X1,sK1)
        | ~ meet_absorbing(sK2) )
    | ~ spl24_2 ),
    inference(subsumption_resolution,[],[f8793,f253]) ).

fof(f8793,plain,
    ( ! [X1] :
        ( ~ in(X1,sK1)
        | empty_carrier(sK2)
        | ~ meet_commutative(sK2)
        | ~ element(X1,the_carrier(sK2))
        | below_refl(sK2,X1,sK3)
        | ~ element(X1,sF23)
        | ~ element(sK3,the_carrier(sK2))
        | ~ latt_str(sK2)
        | ~ meet_absorbing(sK2) )
    | ~ spl24_2 ),
    inference(subsumption_resolution,[],[f8792,f424]) ).

fof(f8792,plain,
    ( ! [X1] :
        ( ~ join_absorbing(sK2)
        | ~ element(sK3,the_carrier(sK2))
        | ~ element(X1,the_carrier(sK2))
        | ~ in(X1,sK1)
        | ~ latt_str(sK2)
        | ~ element(X1,sF23)
        | empty_carrier(sK2)
        | below_refl(sK2,X1,sK3)
        | ~ meet_absorbing(sK2)
        | ~ meet_commutative(sK2) )
    | ~ spl24_2 ),
    inference(resolution,[],[f8785,f272]) ).

fof(f272,plain,
    ! [X2,X0,X1] :
      ( ~ below(X1,X0,X2)
      | ~ meet_absorbing(X1)
      | ~ element(X2,the_carrier(X1))
      | empty_carrier(X1)
      | ~ element(X0,the_carrier(X1))
      | ~ join_absorbing(X1)
      | below_refl(X1,X0,X2)
      | ~ meet_commutative(X1)
      | ~ latt_str(X1) ),
    inference(cnf_transformation,[],[f197]) ).

fof(f8785,plain,
    ( ! [X0] :
        ( below(sK2,X0,sK3)
        | ~ element(X0,sF23)
        | ~ in(X0,sK1) )
    | ~ spl24_2 ),
    inference(subsumption_resolution,[],[f8784,f353]) ).

fof(f8784,plain,
    ( ! [X0] :
        ( ~ element(sK3,sF23)
        | ~ element(X0,sF23)
        | below(sK2,X0,sK3)
        | ~ in(X0,sK1) )
    | ~ spl24_2 ),
    inference(forward_demodulation,[],[f8783,f352]) ).

fof(f8783,plain,
    ( ! [X0] :
        ( ~ element(sK3,the_carrier(sK2))
        | below(sK2,X0,sK3)
        | ~ element(X0,sF23)
        | ~ in(X0,sK1) )
    | ~ spl24_2 ),
    inference(forward_demodulation,[],[f8782,f352]) ).

fof(f8782,plain,
    ( ! [X0] :
        ( below(sK2,X0,sK3)
        | ~ element(X0,the_carrier(sK2))
        | ~ element(sK3,the_carrier(sK2))
        | ~ in(X0,sK1) )
    | ~ spl24_2 ),
    inference(subsumption_resolution,[],[f8781,f253]) ).

fof(f8781,plain,
    ( ! [X0] :
        ( below(sK2,X0,sK3)
        | ~ element(X0,the_carrier(sK2))
        | ~ element(sK3,the_carrier(sK2))
        | ~ in(X0,sK1)
        | empty_carrier(sK2) )
    | ~ spl24_2 ),
    inference(subsumption_resolution,[],[f8780,f248]) ).

fof(f8780,plain,
    ( ! [X0] :
        ( below(sK2,X0,sK3)
        | ~ in(X0,sK1)
        | ~ latt_str(sK2)
        | ~ element(sK3,the_carrier(sK2))
        | ~ element(X0,the_carrier(sK2))
        | empty_carrier(sK2) )
    | ~ spl24_2 ),
    inference(resolution,[],[f360,f316]) ).

fof(f316,plain,
    ! [X2,X0,X1,X4] :
      ( ~ latt_element_smaller(X0,X1,X2)
      | below(X0,X4,X1)
      | ~ in(X4,X2)
      | ~ element(X4,the_carrier(X0))
      | ~ element(X1,the_carrier(X0))
      | ~ latt_str(X0)
      | empty_carrier(X0) ),
    inference(cnf_transformation,[],[f217]) ).

fof(f360,plain,
    ( latt_element_smaller(sK2,sK3,sK1)
    | ~ spl24_2 ),
    inference(avatar_component_clause,[],[f359]) ).

fof(f8979,plain,
    ( ~ below_refl(sK2,sK13(sF21,sK3,sK1),sK3)
    | spl24_168 ),
    inference(avatar_component_clause,[],[f8978]) ).

fof(f8978,plain,
    ( spl24_168
  <=> below_refl(sK2,sK13(sF21,sK3,sK1),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_168])]) ).

fof(f9018,plain,
    ( ~ spl24_168
    | spl24_171
    | ~ spl24_161 ),
    inference(avatar_split_clause,[],[f9013,f8149,f9015,f8978]) ).

fof(f9013,plain,
    ( related(sF21,sK13(sF21,sK3,sK1),sK3)
    | ~ below_refl(sK2,sK13(sF21,sK3,sK1),sK3)
    | ~ spl24_161 ),
    inference(subsumption_resolution,[],[f8917,f8150]) ).

fof(f8917,plain,
    ( related(sF21,sK13(sF21,sK3,sK1),sK3)
    | ~ below_refl(sK2,sK13(sF21,sK3,sK1),sK3)
    | ~ element(sK13(sF21,sK3,sK1),sF23)
    | ~ spl24_161 ),
    inference(superposition,[],[f3677,f8811]) ).

fof(f8811,plain,
    ( cast_to_el_of_LattPOSet(sK2,sK13(sF21,sK3,sK1)) = sK13(sF21,sK3,sK1)
    | ~ spl24_161 ),
    inference(resolution,[],[f8150,f830]) ).

fof(f3677,plain,
    ! [X0] :
      ( related(sF21,cast_to_el_of_LattPOSet(sK2,X0),sK3)
      | ~ below_refl(sK2,X0,sK3)
      | ~ element(X0,sF23) ),
    inference(subsumption_resolution,[],[f3676,f353]) ).

fof(f3676,plain,
    ! [X0] :
      ( ~ element(sK3,sF23)
      | related(sF21,cast_to_el_of_LattPOSet(sK2,X0),sK3)
      | ~ below_refl(sK2,X0,sK3)
      | ~ element(X0,sF23) ),
    inference(forward_demodulation,[],[f3675,f757]) ).

fof(f3675,plain,
    ! [X0] :
      ( ~ element(X0,sF23)
      | ~ element(sK3,the_carrier(sF21))
      | ~ below_refl(sK2,X0,sK3)
      | related(sF21,cast_to_el_of_LattPOSet(sK2,X0),sK3) ),
    inference(subsumption_resolution,[],[f3674,f981]) ).

fof(f981,plain,
    ! [X0] :
      ( element(cast_to_el_of_LattPOSet(sK2,X0),sF23)
      | ~ element(X0,sF23) ),
    inference(forward_demodulation,[],[f980,f757]) ).

fof(f980,plain,
    ! [X0] :
      ( ~ element(X0,sF23)
      | element(cast_to_el_of_LattPOSet(sK2,X0),the_carrier(sF21)) ),
    inference(forward_demodulation,[],[f979,f352]) ).

fof(f979,plain,
    ! [X0] :
      ( ~ element(X0,the_carrier(sK2))
      | element(cast_to_el_of_LattPOSet(sK2,X0),the_carrier(sF21)) ),
    inference(subsumption_resolution,[],[f978,f252]) ).

fof(f978,plain,
    ! [X0] :
      ( ~ lattice(sK2)
      | ~ element(X0,the_carrier(sK2))
      | element(cast_to_el_of_LattPOSet(sK2,X0),the_carrier(sF21)) ),
    inference(subsumption_resolution,[],[f977,f248]) ).

fof(f977,plain,
    ! [X0] :
      ( ~ element(X0,the_carrier(sK2))
      | element(cast_to_el_of_LattPOSet(sK2,X0),the_carrier(sF21))
      | ~ latt_str(sK2)
      | ~ lattice(sK2) ),
    inference(subsumption_resolution,[],[f975,f253]) ).

fof(f975,plain,
    ! [X0] :
      ( ~ element(X0,the_carrier(sK2))
      | empty_carrier(sK2)
      | ~ lattice(sK2)
      | ~ latt_str(sK2)
      | element(cast_to_el_of_LattPOSet(sK2,X0),the_carrier(sF21)) ),
    inference(superposition,[],[f310,f348]) ).

fof(f310,plain,
    ! [X0,X1] :
      ( element(cast_to_el_of_LattPOSet(X1,X0),the_carrier(poset_of_lattice(X1)))
      | ~ lattice(X1)
      | ~ latt_str(X1)
      | empty_carrier(X1)
      | ~ element(X0,the_carrier(X1)) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( ~ latt_str(X1)
      | ~ lattice(X1)
      | element(cast_to_el_of_LattPOSet(X1,X0),the_carrier(poset_of_lattice(X1)))
      | empty_carrier(X1)
      | ~ element(X0,the_carrier(X1)) ),
    inference(flattening,[],[f132]) ).

fof(f132,plain,
    ! [X1,X0] :
      ( element(cast_to_el_of_LattPOSet(X1,X0),the_carrier(poset_of_lattice(X1)))
      | ~ latt_str(X1)
      | empty_carrier(X1)
      | ~ element(X0,the_carrier(X1))
      | ~ lattice(X1) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X1,X0] :
      ( ( latt_str(X1)
        & ~ empty_carrier(X1)
        & element(X0,the_carrier(X1))
        & lattice(X1) )
     => element(cast_to_el_of_LattPOSet(X1,X0),the_carrier(poset_of_lattice(X1))) ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X1,X0] :
      ( ( latt_str(X0)
        & ~ empty_carrier(X0)
        & element(X1,the_carrier(X0))
        & lattice(X0) )
     => element(cast_to_el_of_LattPOSet(X0,X1),the_carrier(poset_of_lattice(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_lattice3) ).

fof(f3674,plain,
    ! [X0] :
      ( ~ element(sK3,the_carrier(sF21))
      | ~ element(cast_to_el_of_LattPOSet(sK2,X0),sF23)
      | ~ below_refl(sK2,X0,sK3)
      | ~ element(X0,sF23)
      | related(sF21,cast_to_el_of_LattPOSet(sK2,X0),sK3) ),
    inference(forward_demodulation,[],[f3673,f757]) ).

fof(f3673,plain,
    ! [X0] :
      ( related(sF21,cast_to_el_of_LattPOSet(sK2,X0),sK3)
      | ~ below_refl(sK2,X0,sK3)
      | ~ element(X0,sF23)
      | ~ element(cast_to_el_of_LattPOSet(sK2,X0),the_carrier(sF21))
      | ~ element(sK3,the_carrier(sF21)) ),
    inference(subsumption_resolution,[],[f3672,f454]) ).

fof(f3672,plain,
    ! [X0] :
      ( ~ reflexive_relstr(sF21)
      | ~ element(sK3,the_carrier(sF21))
      | related(sF21,cast_to_el_of_LattPOSet(sK2,X0),sK3)
      | ~ below_refl(sK2,X0,sK3)
      | ~ element(cast_to_el_of_LattPOSet(sK2,X0),the_carrier(sF21))
      | ~ element(X0,sF23) ),
    inference(subsumption_resolution,[],[f3671,f493]) ).

fof(f3671,plain,
    ! [X0] :
      ( ~ rel_str(sF21)
      | ~ element(X0,sF23)
      | related(sF21,cast_to_el_of_LattPOSet(sK2,X0),sK3)
      | ~ reflexive_relstr(sF21)
      | ~ below_refl(sK2,X0,sK3)
      | ~ element(sK3,the_carrier(sF21))
      | ~ element(cast_to_el_of_LattPOSet(sK2,X0),the_carrier(sF21)) ),
    inference(subsumption_resolution,[],[f3659,f450]) ).

fof(f3659,plain,
    ! [X0] :
      ( empty_carrier(sF21)
      | related(sF21,cast_to_el_of_LattPOSet(sK2,X0),sK3)
      | ~ element(X0,sF23)
      | ~ element(sK3,the_carrier(sF21))
      | ~ reflexive_relstr(sF21)
      | ~ element(cast_to_el_of_LattPOSet(sK2,X0),the_carrier(sF21))
      | ~ below_refl(sK2,X0,sK3)
      | ~ rel_str(sF21) ),
    inference(resolution,[],[f3064,f335]) ).

fof(f335,plain,
    ! [X2,X0,X1] :
      ( ~ related_reflexive(X1,X2,X0)
      | related(X1,X2,X0)
      | ~ element(X0,the_carrier(X1))
      | ~ element(X2,the_carrier(X1))
      | ~ rel_str(X1)
      | empty_carrier(X1)
      | ~ reflexive_relstr(X1) ),
    inference(cnf_transformation,[],[f221]) ).

fof(f3064,plain,
    ! [X1] :
      ( related_reflexive(sF21,cast_to_el_of_LattPOSet(sK2,X1),sK3)
      | ~ below_refl(sK2,X1,sK3)
      | ~ element(X1,sF23) ),
    inference(forward_demodulation,[],[f3063,f348]) ).

fof(f3063,plain,
    ! [X1] :
      ( ~ below_refl(sK2,X1,sK3)
      | ~ element(X1,sF23)
      | related_reflexive(poset_of_lattice(sK2),cast_to_el_of_LattPOSet(sK2,X1),sK3) ),
    inference(forward_demodulation,[],[f3062,f922]) ).

fof(f3062,plain,
    ! [X1] :
      ( ~ element(X1,sF23)
      | ~ below_refl(sK2,X1,sK3)
      | related_reflexive(poset_of_lattice(sK2),cast_to_el_of_LattPOSet(sK2,X1),sF22) ),
    inference(subsumption_resolution,[],[f3061,f353]) ).

fof(f3061,plain,
    ! [X1] :
      ( ~ element(X1,sF23)
      | related_reflexive(poset_of_lattice(sK2),cast_to_el_of_LattPOSet(sK2,X1),sF22)
      | ~ element(sK3,sF23)
      | ~ below_refl(sK2,X1,sK3) ),
    inference(forward_demodulation,[],[f3060,f352]) ).

fof(f3060,plain,
    ! [X1] :
      ( ~ below_refl(sK2,X1,sK3)
      | ~ element(sK3,the_carrier(sK2))
      | related_reflexive(poset_of_lattice(sK2),cast_to_el_of_LattPOSet(sK2,X1),sF22)
      | ~ element(X1,sF23) ),
    inference(forward_demodulation,[],[f3059,f352]) ).

fof(f3059,plain,
    ! [X1] :
      ( ~ element(X1,the_carrier(sK2))
      | ~ below_refl(sK2,X1,sK3)
      | ~ element(sK3,the_carrier(sK2))
      | related_reflexive(poset_of_lattice(sK2),cast_to_el_of_LattPOSet(sK2,X1),sF22) ),
    inference(subsumption_resolution,[],[f3058,f253]) ).

fof(f3058,plain,
    ! [X1] :
      ( ~ element(sK3,the_carrier(sK2))
      | ~ below_refl(sK2,X1,sK3)
      | ~ element(X1,the_carrier(sK2))
      | related_reflexive(poset_of_lattice(sK2),cast_to_el_of_LattPOSet(sK2,X1),sF22)
      | empty_carrier(sK2) ),
    inference(subsumption_resolution,[],[f3057,f252]) ).

fof(f3057,plain,
    ! [X1] :
      ( related_reflexive(poset_of_lattice(sK2),cast_to_el_of_LattPOSet(sK2,X1),sF22)
      | ~ element(sK3,the_carrier(sK2))
      | ~ lattice(sK2)
      | empty_carrier(sK2)
      | ~ element(X1,the_carrier(sK2))
      | ~ below_refl(sK2,X1,sK3) ),
    inference(subsumption_resolution,[],[f3012,f248]) ).

fof(f3012,plain,
    ! [X1] :
      ( ~ latt_str(sK2)
      | ~ below_refl(sK2,X1,sK3)
      | empty_carrier(sK2)
      | related_reflexive(poset_of_lattice(sK2),cast_to_el_of_LattPOSet(sK2,X1),sF22)
      | ~ element(sK3,the_carrier(sK2))
      | ~ lattice(sK2)
      | ~ element(X1,the_carrier(sK2)) ),
    inference(superposition,[],[f289,f349]) ).

fof(f289,plain,
    ! [X2,X0,X1] :
      ( related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2))
      | ~ element(X1,the_carrier(X0))
      | empty_carrier(X0)
      | ~ below_refl(X0,X1,X2)
      | ~ element(X2,the_carrier(X0))
      | ~ lattice(X0)
      | ~ latt_str(X0) ),
    inference(cnf_transformation,[],[f205]) ).

fof(f8778,plain,
    ( spl24_2
    | spl24_164 ),
    inference(avatar_split_clause,[],[f8777,f8739,f359]) ).

fof(f8777,plain,
    ( latt_element_smaller(sK2,sK3,sK1)
    | spl24_164 ),
    inference(subsumption_resolution,[],[f8773,f353]) ).

fof(f8773,plain,
    ( latt_element_smaller(sK2,sK3,sK1)
    | ~ element(sK3,sF23)
    | spl24_164 ),
    inference(resolution,[],[f8741,f1499]) ).

fof(f8741,plain,
    ( ~ element(sK15(sK2,sK3,sK1),sF23)
    | spl24_164 ),
    inference(avatar_component_clause,[],[f8739]) ).

fof(f8161,plain,
    ( spl24_1
    | spl24_161 ),
    inference(avatar_contradiction_clause,[],[f8160]) ).

fof(f8160,plain,
    ( $false
    | spl24_1
    | spl24_161 ),
    inference(subsumption_resolution,[],[f8159,f353]) ).

fof(f8159,plain,
    ( ~ element(sK3,sF23)
    | spl24_1
    | spl24_161 ),
    inference(subsumption_resolution,[],[f8158,f923]) ).

fof(f923,plain,
    ( ~ relstr_set_smaller(sF21,sK1,sK3)
    | spl24_1 ),
    inference(superposition,[],[f357,f922]) ).

fof(f8158,plain,
    ( relstr_set_smaller(sF21,sK1,sK3)
    | ~ element(sK3,sF23)
    | spl24_161 ),
    inference(resolution,[],[f8151,f1169]) ).

fof(f1169,plain,
    ! [X2,X3] :
      ( element(sK13(sF21,X2,X3),sF23)
      | ~ element(X2,sF23)
      | relstr_set_smaller(sF21,X3,X2) ),
    inference(subsumption_resolution,[],[f1168,f493]) ).

fof(f1168,plain,
    ! [X2,X3] :
      ( relstr_set_smaller(sF21,X3,X2)
      | ~ rel_str(sF21)
      | element(sK13(sF21,X2,X3),sF23)
      | ~ element(X2,sF23) ),
    inference(superposition,[],[f314,f757]) ).

fof(f314,plain,
    ! [X2,X0,X1] :
      ( element(sK13(X0,X1,X2),the_carrier(X0))
      | ~ rel_str(X0)
      | ~ element(X1,the_carrier(X0))
      | relstr_set_smaller(X0,X2,X1) ),
    inference(cnf_transformation,[],[f211]) ).

fof(f8151,plain,
    ( ~ element(sK13(sF21,sK3,sK1),sF23)
    | spl24_161 ),
    inference(avatar_component_clause,[],[f8149]) ).

fof(f363,plain,
    ( spl24_1
    | spl24_2 ),
    inference(avatar_split_clause,[],[f351,f359,f355]) ).

fof(f351,plain,
    ( latt_element_smaller(sK2,sK3,sK1)
    | relstr_set_smaller(sF21,sK1,sF22) ),
    inference(definition_folding,[],[f250,f349,f348]) ).

fof(f250,plain,
    ( relstr_set_smaller(poset_of_lattice(sK2),sK1,cast_to_el_of_LattPOSet(sK2,sK3))
    | latt_element_smaller(sK2,sK3,sK1) ),
    inference(cnf_transformation,[],[f178]) ).

fof(f362,plain,
    ( ~ spl24_1
    | ~ spl24_2 ),
    inference(avatar_split_clause,[],[f350,f359,f355]) ).

fof(f350,plain,
    ( ~ latt_element_smaller(sK2,sK3,sK1)
    | ~ relstr_set_smaller(sF21,sK1,sF22) ),
    inference(definition_folding,[],[f251,f349,f348]) ).

fof(f251,plain,
    ( ~ relstr_set_smaller(poset_of_lattice(sK2),sK1,cast_to_el_of_LattPOSet(sK2,sK3))
    | ~ latt_element_smaller(sK2,sK3,sK1) ),
    inference(cnf_transformation,[],[f178]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SEU349+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n009.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 15:14:20 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.54  % (5059)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55  % (5051)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)
% 0.20/0.55  % (5067)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.56  % (5048)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)
% 0.20/0.56  % (5050)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.56  % (5050)Instruction limit reached!
% 0.20/0.56  % (5050)------------------------------
% 0.20/0.56  % (5050)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (5050)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (5050)Termination reason: Unknown
% 0.20/0.56  % (5050)Termination phase: Unused predicate definition removal
% 0.20/0.56  
% 0.20/0.56  % (5050)Memory used [KB]: 1023
% 0.20/0.56  % (5050)Time elapsed: 0.003 s
% 0.20/0.56  % (5050)Instructions burned: 2 (million)
% 0.20/0.56  % (5050)------------------------------
% 0.20/0.56  % (5050)------------------------------
% 1.40/0.57  % (5044)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)
% 1.40/0.57  % (5046)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.40/0.57  % (5042)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)
% 1.40/0.58  TRYING [1]
% 1.40/0.58  % (5043)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)
% 1.40/0.58  TRYING [2]
% 1.40/0.58  % (5047)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)
% 1.40/0.58  % (5064)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)
% 1.40/0.58  % (5055)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.40/0.58  % (5056)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)
% 1.81/0.59  % (5065)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)
% 1.81/0.59  TRYING [1]
% 1.81/0.59  TRYING [2]
% 1.81/0.59  % (5057)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)
% 1.81/0.59  % (5061)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)
% 1.81/0.59  % (5066)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.81/0.59  % (5062)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)
% 1.81/0.60  % (5063)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.81/0.60  TRYING [3]
% 1.81/0.60  % (5071)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)
% 1.81/0.60  % (5049)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.81/0.60  % (5069)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)
% 1.81/0.60  % (5054)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.81/0.60  TRYING [1]
% 1.81/0.60  % (5070)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.81/0.60  % (5049)Instruction limit reached!
% 1.81/0.60  % (5049)------------------------------
% 1.81/0.60  % (5049)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.60  % (5049)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.60  % (5049)Termination reason: Unknown
% 1.81/0.60  % (5049)Termination phase: Saturation
% 1.81/0.60  
% 1.81/0.60  % (5049)Memory used [KB]: 5628
% 1.81/0.60  % (5049)Time elapsed: 0.147 s
% 1.81/0.60  % (5049)Instructions burned: 7 (million)
% 1.81/0.60  % (5049)------------------------------
% 1.81/0.60  % (5049)------------------------------
% 1.81/0.60  TRYING [2]
% 1.81/0.60  % (5058)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)
% 1.81/0.61  % (5053)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)
% 1.81/0.61  % (5045)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)
% 1.81/0.61  % (5043)Refutation not found, incomplete strategy% (5043)------------------------------
% 1.81/0.61  % (5043)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.61  % (5043)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.61  % (5043)Termination reason: Refutation not found, incomplete strategy
% 1.81/0.61  
% 1.81/0.61  % (5043)Memory used [KB]: 5756
% 1.81/0.61  % (5043)Time elapsed: 0.149 s
% 1.81/0.61  % (5043)Instructions burned: 9 (million)
% 1.81/0.61  % (5043)------------------------------
% 1.81/0.61  % (5043)------------------------------
% 1.81/0.62  TRYING [3]
% 1.81/0.62  % (5068)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)
% 1.81/0.63  TRYING [3]
% 1.81/0.63  % (5060)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.81/0.64  % (5059)Instruction limit reached!
% 1.81/0.64  % (5059)------------------------------
% 1.81/0.64  % (5059)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.64  % (5052)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.81/0.65  % (5059)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.65  % (5059)Termination reason: Unknown
% 1.81/0.65  % (5059)Termination phase: Finite model building SAT solving
% 1.81/0.65  
% 1.81/0.65  % (5059)Memory used [KB]: 7291
% 1.81/0.65  % (5059)Time elapsed: 0.198 s
% 1.81/0.65  % (5059)Instructions burned: 60 (million)
% 1.81/0.65  % (5059)------------------------------
% 1.81/0.65  % (5059)------------------------------
% 1.81/0.65  % (5044)Instruction limit reached!
% 1.81/0.65  % (5044)------------------------------
% 1.81/0.65  % (5044)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.65  % (5044)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.65  % (5044)Termination reason: Unknown
% 1.81/0.65  % (5044)Termination phase: Saturation
% 1.81/0.65  
% 1.81/0.65  % (5044)Memory used [KB]: 1535
% 1.81/0.65  % (5044)Time elapsed: 0.247 s
% 1.81/0.65  % (5044)Instructions burned: 38 (million)
% 1.81/0.65  % (5044)------------------------------
% 1.81/0.65  % (5044)------------------------------
% 1.81/0.65  % (5051)Instruction limit reached!
% 1.81/0.65  % (5051)------------------------------
% 1.81/0.65  % (5051)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.65  % (5051)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.65  % (5051)Termination reason: Unknown
% 1.81/0.65  % (5051)Termination phase: Saturation
% 1.81/0.65  
% 1.81/0.65  % (5051)Memory used [KB]: 2174
% 1.81/0.65  % (5051)Time elapsed: 0.242 s
% 1.81/0.65  % (5051)Instructions burned: 51 (million)
% 1.81/0.65  % (5051)------------------------------
% 1.81/0.65  % (5051)------------------------------
% 1.81/0.67  % (5048)Instruction limit reached!
% 1.81/0.67  % (5048)------------------------------
% 1.81/0.67  % (5048)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.67  % (5048)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.67  % (5048)Termination reason: Unknown
% 1.81/0.67  % (5048)Termination phase: Finite model building SAT solving
% 1.81/0.67  
% 1.81/0.67  % (5048)Memory used [KB]: 7164
% 1.81/0.67  % (5048)Time elapsed: 0.205 s
% 1.81/0.67  % (5048)Instructions burned: 52 (million)
% 1.81/0.67  % (5048)------------------------------
% 1.81/0.67  % (5048)------------------------------
% 2.81/0.72  TRYING [4]
% 2.81/0.73  % (5056)Instruction limit reached!
% 2.81/0.73  % (5056)------------------------------
% 2.81/0.73  % (5056)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.81/0.73  % (5056)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.81/0.73  % (5056)Termination reason: Unknown
% 2.81/0.73  % (5056)Termination phase: Saturation
% 2.81/0.73  
% 2.81/0.73  % (5056)Memory used [KB]: 6908
% 2.81/0.73  % (5056)Time elapsed: 0.058 s
% 2.81/0.73  % (5056)Instructions burned: 69 (million)
% 2.81/0.73  % (5056)------------------------------
% 2.81/0.73  % (5056)------------------------------
% 2.81/0.74  % (5047)Instruction limit reached!
% 2.81/0.74  % (5047)------------------------------
% 2.81/0.74  % (5047)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.81/0.74  % (5047)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.81/0.74  % (5047)Termination reason: Unknown
% 2.81/0.74  % (5047)Termination phase: Saturation
% 2.81/0.74  
% 2.81/0.74  % (5047)Memory used [KB]: 6140
% 2.81/0.74  % (5047)Time elapsed: 0.312 s
% 2.81/0.74  % (5047)Instructions burned: 49 (million)
% 2.81/0.74  % (5047)------------------------------
% 2.81/0.74  % (5047)------------------------------
% 2.81/0.75  % (5045)Instruction limit reached!
% 2.81/0.75  % (5045)------------------------------
% 2.81/0.75  % (5045)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.81/0.75  % (5045)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.81/0.75  % (5045)Termination reason: Unknown
% 2.81/0.75  % (5045)Termination phase: Saturation
% 2.81/0.75  
% 2.81/0.75  % (5045)Memory used [KB]: 6524
% 2.81/0.75  % (5045)Time elapsed: 0.324 s
% 2.81/0.75  % (5045)Instructions burned: 51 (million)
% 2.81/0.75  % (5045)------------------------------
% 2.81/0.75  % (5045)------------------------------
% 2.81/0.76  % (5046)Instruction limit reached!
% 2.81/0.76  % (5046)------------------------------
% 2.81/0.76  % (5046)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.81/0.76  % (5046)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.81/0.76  % (5046)Termination reason: Unknown
% 2.81/0.76  % (5046)Termination phase: Saturation
% 2.81/0.76  
% 2.81/0.76  % (5046)Memory used [KB]: 6524
% 2.81/0.76  % (5046)Time elapsed: 0.351 s
% 2.81/0.76  % (5046)Instructions burned: 52 (million)
% 2.81/0.76  % (5046)------------------------------
% 2.81/0.76  % (5046)------------------------------
% 2.81/0.76  % (5057)Instruction limit reached!
% 2.81/0.76  % (5057)------------------------------
% 2.81/0.76  % (5057)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.81/0.76  % (5057)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.81/0.76  % (5057)Termination reason: Unknown
% 2.81/0.76  % (5057)Termination phase: Saturation
% 2.81/0.76  
% 2.81/0.76  % (5057)Memory used [KB]: 2046
% 2.81/0.76  % (5057)Time elapsed: 0.304 s
% 2.81/0.76  % (5057)Instructions burned: 75 (million)
% 2.81/0.76  % (5057)------------------------------
% 2.81/0.76  % (5057)------------------------------
% 2.81/0.79  % (5052)Instruction limit reached!
% 2.81/0.79  % (5052)------------------------------
% 2.81/0.79  % (5052)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.81/0.79  % (5052)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.81/0.79  % (5052)Termination reason: Unknown
% 2.81/0.79  % (5052)Termination phase: Saturation
% 2.81/0.79  
% 2.81/0.79  % (5052)Memory used [KB]: 6524
% 2.81/0.79  % (5052)Time elapsed: 0.351 s
% 2.81/0.79  % (5052)Instructions burned: 50 (million)
% 2.81/0.79  % (5052)------------------------------
% 2.81/0.79  % (5052)------------------------------
% 2.81/0.79  % (5058)Instruction limit reached!
% 2.81/0.79  % (5058)------------------------------
% 2.81/0.79  % (5058)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.81/0.79  % (5058)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.81/0.79  % (5058)Termination reason: Unknown
% 2.81/0.79  % (5058)Termination phase: Saturation
% 2.81/0.79  
% 2.81/0.79  % (5058)Memory used [KB]: 6780
% 2.81/0.79  % (5058)Time elapsed: 0.357 s
% 2.81/0.79  % (5058)Instructions burned: 99 (million)
% 2.81/0.79  % (5058)------------------------------
% 2.81/0.79  % (5058)------------------------------
% 2.81/0.80  % (5106)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)
% 2.81/0.80  % (5109)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 3.36/0.82  % (5068)Instruction limit reached!
% 3.36/0.82  % (5068)------------------------------
% 3.36/0.82  % (5068)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.36/0.82  % (5068)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.36/0.82  % (5068)Termination reason: Unknown
% 3.36/0.82  % (5068)Termination phase: Saturation
% 3.36/0.82  
% 3.36/0.82  % (5068)Memory used [KB]: 6908
% 3.36/0.82  % (5068)Time elapsed: 0.060 s
% 3.36/0.82  % (5068)Instructions burned: 68 (million)
% 3.36/0.82  % (5068)------------------------------
% 3.36/0.82  % (5068)------------------------------
% 3.36/0.86  % (5108)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 3.36/0.87  % (5104)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 (2997ds/388Mi)
% 3.68/0.89  % (5060)Instruction limit reached!
% 3.68/0.89  % (5060)------------------------------
% 3.68/0.89  % (5060)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.68/0.89  % (5060)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.68/0.89  % (5060)Termination reason: Unknown
% 3.68/0.89  % (5060)Termination phase: Saturation
% 3.68/0.89  
% 3.68/0.89  % (5060)Memory used [KB]: 6908
% 3.68/0.89  % (5060)Time elapsed: 0.480 s
% 3.68/0.89  % (5060)Instructions burned: 101 (million)
% 3.68/0.89  % (5060)------------------------------
% 3.68/0.89  % (5060)------------------------------
% 3.68/0.91  % (5106)Instruction limit reached!
% 3.68/0.91  % (5106)------------------------------
% 3.68/0.91  % (5106)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.68/0.91  % (5106)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.68/0.91  % (5106)Termination reason: Unknown
% 3.68/0.91  % (5106)Termination phase: Saturation
% 3.68/0.91  
% 3.68/0.91  % (5106)Memory used [KB]: 7036
% 3.68/0.91  % (5106)Time elapsed: 0.210 s
% 3.68/0.91  % (5106)Instructions burned: 90 (million)
% 3.68/0.91  % (5106)------------------------------
% 3.68/0.91  % (5106)------------------------------
% 3.68/0.93  % (5105)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 3.68/0.93  TRYING [5]
% 3.68/0.94  % (5064)Instruction limit reached!
% 3.68/0.94  % (5064)------------------------------
% 3.68/0.94  % (5064)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.68/0.94  % (5064)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.68/0.94  % (5064)Termination reason: Unknown
% 3.68/0.94  % (5064)Termination phase: Saturation
% 3.68/0.94  
% 3.68/0.94  % (5064)Memory used [KB]: 1663
% 3.68/0.94  % (5064)Time elapsed: 0.509 s
% 3.68/0.94  % (5064)Instructions burned: 498 (million)
% 3.68/0.94  % (5064)------------------------------
% 3.68/0.94  % (5064)------------------------------
% 3.68/0.95  % (5055)Instruction limit reached!
% 3.68/0.95  % (5055)------------------------------
% 3.68/0.95  % (5055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.68/0.95  % (5055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.68/0.95  % (5055)Termination reason: Unknown
% 3.68/0.95  % (5055)Termination phase: Saturation
% 3.68/0.95  
% 3.68/0.95  % (5055)Memory used [KB]: 6908
% 3.68/0.95  % (5055)Time elapsed: 0.543 s
% 3.68/0.95  % (5055)Instructions burned: 99 (million)
% 3.68/0.95  % (5055)------------------------------
% 3.68/0.95  % (5055)------------------------------
% 3.68/0.95  % (5114)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/940Mi)
% 3.68/0.95  % (5053)Instruction limit reached!
% 3.68/0.95  % (5053)------------------------------
% 3.68/0.95  % (5053)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.68/0.95  % (5053)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.68/0.95  % (5053)Termination reason: Unknown
% 3.68/0.95  % (5053)Termination phase: Saturation
% 3.68/0.95  
% 3.68/0.95  % (5053)Memory used [KB]: 7036
% 3.68/0.95  % (5053)Time elapsed: 0.526 s
% 3.68/0.95  % (5053)Instructions burned: 101 (million)
% 3.68/0.95  % (5053)------------------------------
% 3.68/0.95  % (5053)------------------------------
% 3.68/0.96  % (5061)Instruction limit reached!
% 3.68/0.96  % (5061)------------------------------
% 3.68/0.96  % (5061)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.68/0.96  % (5061)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.68/0.96  % (5061)Termination reason: Unknown
% 3.68/0.96  % (5061)Termination phase: Saturation
% 3.68/0.96  
% 3.68/0.96  % (5061)Memory used [KB]: 2558
% 3.68/0.96  % (5061)Time elapsed: 0.529 s
% 3.68/0.96  % (5061)Instructions burned: 100 (million)
% 3.68/0.96  % (5061)------------------------------
% 3.68/0.96  % (5061)------------------------------
% 3.68/0.96  % (5121)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3735Mi)
% 4.15/0.99  % (5107)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 4.17/1.00  % (5124)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 4.17/1.00  % (5112)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 4.24/1.01  % (5054)Instruction limit reached!
% 4.24/1.01  % (5054)------------------------------
% 4.24/1.01  % (5054)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.24/1.01  % (5054)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.24/1.01  % (5054)Termination reason: Unknown
% 4.24/1.01  % (5054)Termination phase: Saturation
% 4.24/1.01  
% 4.24/1.01  % (5054)Memory used [KB]: 7036
% 4.24/1.01  % (5054)Time elapsed: 0.599 s
% 4.24/1.01  % (5054)Instructions burned: 101 (million)
% 4.24/1.01  % (5054)------------------------------
% 4.24/1.01  % (5054)------------------------------
% 4.24/1.02  % (5065)Instruction limit reached!
% 4.24/1.02  % (5065)------------------------------
% 4.24/1.02  % (5065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.24/1.02  % (5065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.24/1.02  % (5065)Termination reason: Unknown
% 4.24/1.02  % (5065)Termination phase: Saturation
% 4.24/1.02  
% 4.24/1.02  % (5065)Memory used [KB]: 7419
% 4.24/1.02  % (5065)Time elapsed: 0.552 s
% 4.24/1.02  % (5065)Instructions burned: 468 (million)
% 4.24/1.02  % (5065)------------------------------
% 4.24/1.02  % (5065)------------------------------
% 4.24/1.02  % (5130)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4931Mi)
% 4.24/1.04  % (5116)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 (2995ds/90Mi)
% 5.35/1.05  % (5122)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4958Mi)
% 5.35/1.08  % (5113)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 5.35/1.09  % (5129)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4756Mi)
% 5.35/1.09  % (5117)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2016Mi)
% 5.35/1.10  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 5.35/1.11  % (5115)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/981Mi)
% 5.35/1.12  % (5063)Instruction limit reached!
% 5.35/1.12  % (5063)------------------------------
% 5.35/1.12  % (5063)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.35/1.12  % (5063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.35/1.12  % (5063)Termination reason: Unknown
% 5.35/1.12  % (5063)Termination phase: Saturation
% 5.35/1.12  
% 5.35/1.12  % (5063)Memory used [KB]: 7547
% 5.35/1.12  % (5063)Time elapsed: 0.704 s
% 5.35/1.12  % (5063)Instructions burned: 138 (million)
% 5.35/1.12  % (5063)------------------------------
% 5.35/1.12  % (5063)------------------------------
% 5.95/1.14  % (5144)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/90Mi)
% 5.95/1.21  % (5133)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 (2994ds/68Mi)
% 6.50/1.22  % (5069)Instruction limit reached!
% 6.50/1.22  % (5069)------------------------------
% 6.50/1.22  % (5069)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.50/1.22  % (5069)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.50/1.22  % (5069)Termination reason: Unknown
% 6.50/1.22  % (5069)Termination phase: Saturation
% 6.50/1.22  
% 6.50/1.22  % (5069)Memory used [KB]: 3454
% 6.50/1.22  % (5069)Time elapsed: 0.795 s
% 6.50/1.22  % (5069)Instructions burned: 178 (million)
% 6.50/1.22  % (5069)------------------------------
% 6.50/1.22  % (5069)------------------------------
% 6.50/1.25  % (5144)Instruction limit reached!
% 6.50/1.25  % (5144)------------------------------
% 6.50/1.25  % (5144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.50/1.25  % (5144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.50/1.25  % (5144)Termination reason: Unknown
% 6.50/1.25  % (5144)Termination phase: Saturation
% 6.50/1.25  
% 6.50/1.25  % (5144)Memory used [KB]: 7036
% 6.50/1.25  % (5144)Time elapsed: 0.160 s
% 6.50/1.25  % (5144)Instructions burned: 90 (million)
% 6.50/1.25  % (5144)------------------------------
% 6.50/1.25  % (5144)------------------------------
% 6.50/1.26  % (5139)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2134Mi)
% 6.50/1.27  % (5140)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2891Mi)
% 6.95/1.28  % (5138)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1824Mi)
% 6.95/1.31  % (5116)Instruction limit reached!
% 6.95/1.31  % (5116)------------------------------
% 6.95/1.31  % (5116)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.95/1.31  % (5116)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.95/1.31  % (5116)Termination reason: Unknown
% 6.95/1.31  % (5116)Termination phase: Saturation
% 6.95/1.31  
% 6.95/1.31  % (5116)Memory used [KB]: 6908
% 6.95/1.31  % (5116)Time elapsed: 0.488 s
% 6.95/1.31  % (5116)Instructions burned: 90 (million)
% 6.95/1.31  % (5116)------------------------------
% 6.95/1.31  % (5116)------------------------------
% 6.95/1.34  % (5062)Instruction limit reached!
% 6.95/1.34  % (5062)------------------------------
% 6.95/1.34  % (5062)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.95/1.34  % (5062)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.95/1.34  % (5062)Termination reason: Unknown
% 6.95/1.34  % (5062)Termination phase: Saturation
% 6.95/1.34  
% 6.95/1.34  % (5062)Memory used [KB]: 8443
% 6.95/1.34  % (5062)Time elapsed: 0.904 s
% 6.95/1.34  % (5062)Instructions burned: 176 (million)
% 6.95/1.34  % (5062)------------------------------
% 6.95/1.34  % (5062)------------------------------
% 6.95/1.35  % (5113)Instruction limit reached!
% 6.95/1.35  % (5113)------------------------------
% 6.95/1.35  % (5113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.95/1.35  % (5113)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.95/1.35  % (5113)Termination reason: Unknown
% 6.95/1.35  % (5113)Termination phase: Saturation
% 6.95/1.35  
% 6.95/1.35  % (5113)Memory used [KB]: 6908
% 6.95/1.35  % (5113)Time elapsed: 0.058 s
% 6.95/1.35  % (5113)Instructions burned: 69 (million)
% 6.95/1.35  % (5113)------------------------------
% 6.95/1.35  % (5113)------------------------------
% 7.50/1.37  % (5153)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9965Mi)
% 7.50/1.37  % (5067)First to succeed.
% 7.65/1.39  % (5143)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/4585Mi)
% 7.86/1.43  % (5067)Refutation found. Thanks to Tanya!
% 7.86/1.43  % SZS status Theorem for theBenchmark
% 7.86/1.43  % SZS output start Proof for theBenchmark
% See solution above
% 7.86/1.43  % (5067)------------------------------
% 7.86/1.43  % (5067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.86/1.43  % (5067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.86/1.43  % (5067)Termination reason: Refutation
% 7.86/1.43  
% 7.86/1.43  % (5067)Memory used [KB]: 9722
% 7.86/1.43  % (5067)Time elapsed: 0.953 s
% 7.86/1.43  % (5067)Instructions burned: 383 (million)
% 7.86/1.43  % (5067)------------------------------
% 7.86/1.43  % (5067)------------------------------
% 7.86/1.43  % (5041)Success in time 1.089 s
%------------------------------------------------------------------------------