%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SET055-7 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n010.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  : 600s
% DateTime : Tue Jul 19 02:09:23 EDT 2022

% Result   : Unsatisfiable 0.21s 0.50s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
cnf(subclass_is_reflexive,axiom,
    subclass(X,X),
    input ).

fof(subclass_is_reflexive_0,plain,
    ! [X] :
      ( subclass(X,X)
      | $false ),
    inference(orientation,[status(thm)],[subclass_is_reflexive]) ).

cnf(cantor_class,axiom,
    equalish(intersection(domain_of(X),diagonalise(compose(inverse(element_relation),X))),cantor(X)),
    input ).

fof(cantor_class_0,plain,
    ! [X] :
      ( equalish(intersection(domain_of(X),diagonalise(compose(inverse(element_relation),X))),cantor(X))
      | $false ),
    inference(orientation,[status(thm)],[cantor_class]) ).

cnf(diagonalisation,axiom,
    equalish(complement(domain_of(intersection(Xr,identity_relation))),diagonalise(Xr)),
    input ).

fof(diagonalisation_0,plain,
    ! [Xr] :
      ( equalish(complement(domain_of(intersection(Xr,identity_relation))),diagonalise(Xr))
      | $false ),
    inference(orientation,[status(thm)],[diagonalisation]) ).

cnf(identity_relation,axiom,
    equalish(intersection(inverse(subset_relation),subset_relation),identity_relation),
    input ).

fof(identity_relation_0,plain,
    ( equalish(intersection(inverse(subset_relation),subset_relation),identity_relation)
    | $false ),
    inference(orientation,[status(thm)],[identity_relation]) ).

cnf(subset_relation,axiom,
    equalish(intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation))))),subset_relation),
    input ).

fof(subset_relation_0,plain,
    ( equalish(intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation))))),subset_relation)
    | $false ),
    inference(orientation,[status(thm)],[subset_relation]) ).

cnf(choice1,axiom,
    function(choice),
    input ).

fof(choice1_0,plain,
    ( function(choice)
    | $false ),
    inference(orientation,[status(thm)],[choice1]) ).

cnf(apply,axiom,
    equalish(sum_class(image(Xf,singleton(Y))),apply(Xf,Y)),
    input ).

fof(apply_0,plain,
    ! [Xf,Y] :
      ( equalish(sum_class(image(Xf,singleton(Y))),apply(Xf,Y))
      | $false ),
    inference(orientation,[status(thm)],[apply]) ).

cnf(compose1,axiom,
    subclass(compose(Yr,Xr),cross_product(universal_class,universal_class)),
    input ).

fof(compose1_0,plain,
    ! [Xr,Yr] :
      ( subclass(compose(Yr,Xr),cross_product(universal_class,universal_class))
      | $false ),
    inference(orientation,[status(thm)],[compose1]) ).

cnf(power_class_definition,axiom,
    equalish(complement(image(element_relation,complement(X))),power_class(X)),
    input ).

fof(power_class_definition_0,plain,
    ! [X] :
      ( equalish(complement(image(element_relation,complement(X))),power_class(X))
      | $false ),
    inference(orientation,[status(thm)],[power_class_definition]) ).

cnf(sum_class_definition,axiom,
    equalish(domain_of(restrict(element_relation,universal_class,X)),sum_class(X)),
    input ).

fof(sum_class_definition_0,plain,
    ! [X] :
      ( equalish(domain_of(restrict(element_relation,universal_class,X)),sum_class(X))
      | $false ),
    inference(orientation,[status(thm)],[sum_class_definition]) ).

cnf(omega_in_universal,axiom,
    member(omega,universal_class),
    input ).

fof(omega_in_universal_0,plain,
    ( member(omega,universal_class)
    | $false ),
    inference(orientation,[status(thm)],[omega_in_universal]) ).

cnf(omega_is_inductive1,axiom,
    inductive(omega),
    input ).

fof(omega_is_inductive1_0,plain,
    ( inductive(omega)
    | $false ),
    inference(orientation,[status(thm)],[omega_is_inductive1]) ).

cnf(successor_relation1,axiom,
    subclass(successor_relation,cross_product(universal_class,universal_class)),
    input ).

fof(successor_relation1_0,plain,
    ( subclass(successor_relation,cross_product(universal_class,universal_class))
    | $false ),
    inference(orientation,[status(thm)],[successor_relation1]) ).

cnf(successor,axiom,
    equalish(union(X,singleton(X)),successor(X)),
    input ).

fof(successor_0,plain,
    ! [X] :
      ( equalish(union(X,singleton(X)),successor(X))
      | $false ),
    inference(orientation,[status(thm)],[successor]) ).

cnf(image,axiom,
    equalish(range_of(restrict(Xr,X,universal_class)),image(Xr,X)),
    input ).

fof(image_0,plain,
    ! [X,Xr] :
      ( equalish(range_of(restrict(Xr,X,universal_class)),image(Xr,X))
      | $false ),
    inference(orientation,[status(thm)],[image]) ).

cnf(range,axiom,
    equalish(second(not_subclass_element(restrict(Z,singleton(X),Y),null_class)),range(Z,X,Y)),
    input ).

fof(range_0,plain,
    ! [X,Y,Z] :
      ( equalish(second(not_subclass_element(restrict(Z,singleton(X),Y),null_class)),range(Z,X,Y))
      | $false ),
    inference(orientation,[status(thm)],[range]) ).

cnf(domain,axiom,
    equalish(first(not_subclass_element(restrict(Z,X,singleton(Y)),null_class)),domain(Z,X,Y)),
    input ).

fof(domain_0,plain,
    ! [X,Y,Z] :
      ( equalish(first(not_subclass_element(restrict(Z,X,singleton(Y)),null_class)),domain(Z,X,Y))
      | $false ),
    inference(orientation,[status(thm)],[domain]) ).

cnf(range_of,axiom,
    equalish(domain_of(inverse(Z)),range_of(Z)),
    input ).

fof(range_of_0,plain,
    ! [Z] :
      ( equalish(domain_of(inverse(Z)),range_of(Z))
      | $false ),
    inference(orientation,[status(thm)],[range_of]) ).

cnf(inverse,axiom,
    equalish(domain_of(flip(cross_product(Y,universal_class))),inverse(Y)),
    input ).

fof(inverse_0,plain,
    ! [Y] :
      ( equalish(domain_of(flip(cross_product(Y,universal_class))),inverse(Y))
      | $false ),
    inference(orientation,[status(thm)],[inverse]) ).

cnf(flip1,axiom,
    subclass(flip(X),cross_product(cross_product(universal_class,universal_class),universal_class)),
    input ).

fof(flip1_0,plain,
    ! [X] :
      ( subclass(flip(X),cross_product(cross_product(universal_class,universal_class),universal_class))
      | $false ),
    inference(orientation,[status(thm)],[flip1]) ).

cnf(rotate1,axiom,
    subclass(rotate(X),cross_product(cross_product(universal_class,universal_class),universal_class)),
    input ).

fof(rotate1_0,plain,
    ! [X] :
      ( subclass(rotate(X),cross_product(cross_product(universal_class,universal_class),universal_class))
      | $false ),
    inference(orientation,[status(thm)],[rotate1]) ).

cnf(restriction2,axiom,
    equalish(intersection(cross_product(X,Y),Xr),restrict(Xr,X,Y)),
    input ).

fof(restriction2_0,plain,
    ! [X,Xr,Y] :
      ( equalish(intersection(cross_product(X,Y),Xr),restrict(Xr,X,Y))
      | $false ),
    inference(orientation,[status(thm)],[restriction2]) ).

cnf(restriction1,axiom,
    equalish(intersection(Xr,cross_product(X,Y)),restrict(Xr,X,Y)),
    input ).

fof(restriction1_0,plain,
    ! [X,Xr,Y] :
      ( equalish(intersection(Xr,cross_product(X,Y)),restrict(Xr,X,Y))
      | $false ),
    inference(orientation,[status(thm)],[restriction1]) ).

cnf(symmetric_difference,axiom,
    equalish(intersection(complement(intersection(X,Y)),complement(intersection(complement(X),complement(Y)))),symmetric_difference(X,Y)),
    input ).

fof(symmetric_difference_0,plain,
    ! [X,Y] :
      ( equalish(intersection(complement(intersection(X,Y)),complement(intersection(complement(X),complement(Y)))),symmetric_difference(X,Y))
      | $false ),
    inference(orientation,[status(thm)],[symmetric_difference]) ).

cnf(union,axiom,
    equalish(complement(intersection(complement(X),complement(Y))),union(X,Y)),
    input ).

fof(union_0,plain,
    ! [X,Y] :
      ( equalish(complement(intersection(complement(X),complement(Y))),union(X,Y))
      | $false ),
    inference(orientation,[status(thm)],[union]) ).

cnf(element_relation1,axiom,
    subclass(element_relation,cross_product(universal_class,universal_class)),
    input ).

fof(element_relation1_0,plain,
    ( subclass(element_relation,cross_product(universal_class,universal_class))
    | $false ),
    inference(orientation,[status(thm)],[element_relation1]) ).

cnf(ordered_pair,axiom,
    equalish(unordered_pair(singleton(X),unordered_pair(X,singleton(Y))),ordered_pair(X,Y)),
    input ).

fof(ordered_pair_0,plain,
    ! [X,Y] :
      ( equalish(unordered_pair(singleton(X),unordered_pair(X,singleton(Y))),ordered_pair(X,Y))
      | $false ),
    inference(orientation,[status(thm)],[ordered_pair]) ).

cnf(singleton_set,axiom,
    equalish(unordered_pair(X,X),singleton(X)),
    input ).

fof(singleton_set_0,plain,
    ! [X] :
      ( equalish(unordered_pair(X,X),singleton(X))
      | $false ),
    inference(orientation,[status(thm)],[singleton_set]) ).

cnf(unordered_pairs_in_universal,axiom,
    member(unordered_pair(X,Y),universal_class),
    input ).

fof(unordered_pairs_in_universal_0,plain,
    ! [X,Y] :
      ( member(unordered_pair(X,Y),universal_class)
      | $false ),
    inference(orientation,[status(thm)],[unordered_pairs_in_universal]) ).

cnf(class_elements_are_sets,axiom,
    subclass(X,universal_class),
    input ).

fof(class_elements_are_sets_0,plain,
    ! [X] :
      ( subclass(X,universal_class)
      | $false ),
    inference(orientation,[status(thm)],[class_elements_are_sets]) ).

fof(def_lhs_atom1,axiom,
    ! [X] :
      ( lhs_atom1(X)
    <=> subclass(X,universal_class) ),
    inference(definition,[],]) ).

fof(to_be_clausified_0,plain,
    ! [X] :
      ( lhs_atom1(X)
      | $false ),
    inference(fold_definition,[status(thm)],[class_elements_are_sets_0,def_lhs_atom1]) ).

fof(def_lhs_atom2,axiom,
    ! [Y,X] :
      ( lhs_atom2(Y,X)
    <=> member(unordered_pair(X,Y),universal_class) ),
    inference(definition,[],]) ).

fof(to_be_clausified_1,plain,
    ! [X,Y] :
      ( lhs_atom2(Y,X)
      | $false ),
    inference(fold_definition,[status(thm)],[unordered_pairs_in_universal_0,def_lhs_atom2]) ).

fof(def_lhs_atom3,axiom,
    ! [X] :
      ( lhs_atom3(X)
    <=> equalish(unordered_pair(X,X),singleton(X)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_2,plain,
    ! [X] :
      ( lhs_atom3(X)
      | $false ),
    inference(fold_definition,[status(thm)],[singleton_set_0,def_lhs_atom3]) ).

fof(def_lhs_atom4,axiom,
    ! [Y,X] :
      ( lhs_atom4(Y,X)
    <=> equalish(unordered_pair(singleton(X),unordered_pair(X,singleton(Y))),ordered_pair(X,Y)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_3,plain,
    ! [X,Y] :
      ( lhs_atom4(Y,X)
      | $false ),
    inference(fold_definition,[status(thm)],[ordered_pair_0,def_lhs_atom4]) ).

fof(def_lhs_atom5,axiom,
    ( lhs_atom5
  <=> subclass(element_relation,cross_product(universal_class,universal_class)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_4,plain,
    ( lhs_atom5
    | $false ),
    inference(fold_definition,[status(thm)],[element_relation1_0,def_lhs_atom5]) ).

fof(def_lhs_atom6,axiom,
    ! [Y,X] :
      ( lhs_atom6(Y,X)
    <=> equalish(complement(intersection(complement(X),complement(Y))),union(X,Y)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_5,plain,
    ! [X,Y] :
      ( lhs_atom6(Y,X)
      | $false ),
    inference(fold_definition,[status(thm)],[union_0,def_lhs_atom6]) ).

fof(def_lhs_atom7,axiom,
    ! [Y,X] :
      ( lhs_atom7(Y,X)
    <=> equalish(intersection(complement(intersection(X,Y)),complement(intersection(complement(X),complement(Y)))),symmetric_difference(X,Y)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_6,plain,
    ! [X,Y] :
      ( lhs_atom7(Y,X)
      | $false ),
    inference(fold_definition,[status(thm)],[symmetric_difference_0,def_lhs_atom7]) ).

fof(def_lhs_atom8,axiom,
    ! [Y,Xr,X] :
      ( lhs_atom8(Y,Xr,X)
    <=> equalish(intersection(Xr,cross_product(X,Y)),restrict(Xr,X,Y)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_7,plain,
    ! [X,Xr,Y] :
      ( lhs_atom8(Y,Xr,X)
      | $false ),
    inference(fold_definition,[status(thm)],[restriction1_0,def_lhs_atom8]) ).

fof(def_lhs_atom9,axiom,
    ! [Y,Xr,X] :
      ( lhs_atom9(Y,Xr,X)
    <=> equalish(intersection(cross_product(X,Y),Xr),restrict(Xr,X,Y)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_8,plain,
    ! [X,Xr,Y] :
      ( lhs_atom9(Y,Xr,X)
      | $false ),
    inference(fold_definition,[status(thm)],[restriction2_0,def_lhs_atom9]) ).

fof(def_lhs_atom10,axiom,
    ! [X] :
      ( lhs_atom10(X)
    <=> subclass(rotate(X),cross_product(cross_product(universal_class,universal_class),universal_class)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_9,plain,
    ! [X] :
      ( lhs_atom10(X)
      | $false ),
    inference(fold_definition,[status(thm)],[rotate1_0,def_lhs_atom10]) ).

fof(def_lhs_atom11,axiom,
    ! [X] :
      ( lhs_atom11(X)
    <=> subclass(flip(X),cross_product(cross_product(universal_class,universal_class),universal_class)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_10,plain,
    ! [X] :
      ( lhs_atom11(X)
      | $false ),
    inference(fold_definition,[status(thm)],[flip1_0,def_lhs_atom11]) ).

fof(def_lhs_atom12,axiom,
    ! [Y] :
      ( lhs_atom12(Y)
    <=> equalish(domain_of(flip(cross_product(Y,universal_class))),inverse(Y)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_11,plain,
    ! [Y] :
      ( lhs_atom12(Y)
      | $false ),
    inference(fold_definition,[status(thm)],[inverse_0,def_lhs_atom12]) ).

fof(def_lhs_atom13,axiom,
    ! [Z] :
      ( lhs_atom13(Z)
    <=> equalish(domain_of(inverse(Z)),range_of(Z)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_12,plain,
    ! [Z] :
      ( lhs_atom13(Z)
      | $false ),
    inference(fold_definition,[status(thm)],[range_of_0,def_lhs_atom13]) ).

fof(def_lhs_atom14,axiom,
    ! [Z,Y,X] :
      ( lhs_atom14(Z,Y,X)
    <=> equalish(first(not_subclass_element(restrict(Z,X,singleton(Y)),null_class)),domain(Z,X,Y)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_13,plain,
    ! [X,Y,Z] :
      ( lhs_atom14(Z,Y,X)
      | $false ),
    inference(fold_definition,[status(thm)],[domain_0,def_lhs_atom14]) ).

fof(def_lhs_atom15,axiom,
    ! [Z,Y,X] :
      ( lhs_atom15(Z,Y,X)
    <=> equalish(second(not_subclass_element(restrict(Z,singleton(X),Y),null_class)),range(Z,X,Y)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_14,plain,
    ! [X,Y,Z] :
      ( lhs_atom15(Z,Y,X)
      | $false ),
    inference(fold_definition,[status(thm)],[range_0,def_lhs_atom15]) ).

fof(def_lhs_atom16,axiom,
    ! [Xr,X] :
      ( lhs_atom16(Xr,X)
    <=> equalish(range_of(restrict(Xr,X,universal_class)),image(Xr,X)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_15,plain,
    ! [X,Xr] :
      ( lhs_atom16(Xr,X)
      | $false ),
    inference(fold_definition,[status(thm)],[image_0,def_lhs_atom16]) ).

fof(def_lhs_atom17,axiom,
    ! [X] :
      ( lhs_atom17(X)
    <=> equalish(union(X,singleton(X)),successor(X)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_16,plain,
    ! [X] :
      ( lhs_atom17(X)
      | $false ),
    inference(fold_definition,[status(thm)],[successor_0,def_lhs_atom17]) ).

fof(def_lhs_atom18,axiom,
    ( lhs_atom18
  <=> subclass(successor_relation,cross_product(universal_class,universal_class)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_17,plain,
    ( lhs_atom18
    | $false ),
    inference(fold_definition,[status(thm)],[successor_relation1_0,def_lhs_atom18]) ).

fof(def_lhs_atom19,axiom,
    ( lhs_atom19
  <=> inductive(omega) ),
    inference(definition,[],]) ).

fof(to_be_clausified_18,plain,
    ( lhs_atom19
    | $false ),
    inference(fold_definition,[status(thm)],[omega_is_inductive1_0,def_lhs_atom19]) ).

fof(def_lhs_atom20,axiom,
    ( lhs_atom20
  <=> member(omega,universal_class) ),
    inference(definition,[],]) ).

fof(to_be_clausified_19,plain,
    ( lhs_atom20
    | $false ),
    inference(fold_definition,[status(thm)],[omega_in_universal_0,def_lhs_atom20]) ).

fof(def_lhs_atom21,axiom,
    ! [X] :
      ( lhs_atom21(X)
    <=> equalish(domain_of(restrict(element_relation,universal_class,X)),sum_class(X)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_20,plain,
    ! [X] :
      ( lhs_atom21(X)
      | $false ),
    inference(fold_definition,[status(thm)],[sum_class_definition_0,def_lhs_atom21]) ).

fof(def_lhs_atom22,axiom,
    ! [X] :
      ( lhs_atom22(X)
    <=> equalish(complement(image(element_relation,complement(X))),power_class(X)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_21,plain,
    ! [X] :
      ( lhs_atom22(X)
      | $false ),
    inference(fold_definition,[status(thm)],[power_class_definition_0,def_lhs_atom22]) ).

fof(def_lhs_atom23,axiom,
    ! [Yr,Xr] :
      ( lhs_atom23(Yr,Xr)
    <=> subclass(compose(Yr,Xr),cross_product(universal_class,universal_class)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_22,plain,
    ! [Xr,Yr] :
      ( lhs_atom23(Yr,Xr)
      | $false ),
    inference(fold_definition,[status(thm)],[compose1_0,def_lhs_atom23]) ).

fof(def_lhs_atom24,axiom,
    ! [Y,Xf] :
      ( lhs_atom24(Y,Xf)
    <=> equalish(sum_class(image(Xf,singleton(Y))),apply(Xf,Y)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_23,plain,
    ! [Xf,Y] :
      ( lhs_atom24(Y,Xf)
      | $false ),
    inference(fold_definition,[status(thm)],[apply_0,def_lhs_atom24]) ).

fof(def_lhs_atom25,axiom,
    ( lhs_atom25
  <=> function(choice) ),
    inference(definition,[],]) ).

fof(to_be_clausified_24,plain,
    ( lhs_atom25
    | $false ),
    inference(fold_definition,[status(thm)],[choice1_0,def_lhs_atom25]) ).

fof(def_lhs_atom26,axiom,
    ( lhs_atom26
  <=> equalish(intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation))))),subset_relation) ),
    inference(definition,[],]) ).

fof(to_be_clausified_25,plain,
    ( lhs_atom26
    | $false ),
    inference(fold_definition,[status(thm)],[subset_relation_0,def_lhs_atom26]) ).

fof(def_lhs_atom27,axiom,
    ( lhs_atom27
  <=> equalish(intersection(inverse(subset_relation),subset_relation),identity_relation) ),
    inference(definition,[],]) ).

fof(to_be_clausified_26,plain,
    ( lhs_atom27
    | $false ),
    inference(fold_definition,[status(thm)],[identity_relation_0,def_lhs_atom27]) ).

fof(def_lhs_atom28,axiom,
    ! [Xr] :
      ( lhs_atom28(Xr)
    <=> equalish(complement(domain_of(intersection(Xr,identity_relation))),diagonalise(Xr)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_27,plain,
    ! [Xr] :
      ( lhs_atom28(Xr)
      | $false ),
    inference(fold_definition,[status(thm)],[diagonalisation_0,def_lhs_atom28]) ).

fof(def_lhs_atom29,axiom,
    ! [X] :
      ( lhs_atom29(X)
    <=> equalish(intersection(domain_of(X),diagonalise(compose(inverse(element_relation),X))),cantor(X)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_28,plain,
    ! [X] :
      ( lhs_atom29(X)
      | $false ),
    inference(fold_definition,[status(thm)],[cantor_class_0,def_lhs_atom29]) ).

fof(def_lhs_atom30,axiom,
    ! [X] :
      ( lhs_atom30(X)
    <=> subclass(X,X) ),
    inference(definition,[],]) ).

fof(to_be_clausified_29,plain,
    ! [X] :
      ( lhs_atom30(X)
      | $false ),
    inference(fold_definition,[status(thm)],[subclass_is_reflexive_0,def_lhs_atom30]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ! [X4,X2,X1] :
      ( lhs_atom15(X4,X2,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_14) ).

fof(c_0_1,axiom,
    ! [X4,X2,X1] :
      ( lhs_atom14(X4,X2,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_13) ).

fof(c_0_2,axiom,
    ! [X2,X3,X1] :
      ( lhs_atom9(X2,X3,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_8) ).

fof(c_0_3,axiom,
    ! [X2,X3,X1] :
      ( lhs_atom8(X2,X3,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_7) ).

fof(c_0_4,axiom,
    ! [X2,X6] :
      ( lhs_atom24(X2,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_23) ).

fof(c_0_5,axiom,
    ! [X5,X3] :
      ( lhs_atom23(X5,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_22) ).

fof(c_0_6,axiom,
    ! [X3,X1] :
      ( lhs_atom16(X3,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_15) ).

fof(c_0_7,axiom,
    ! [X2,X1] :
      ( lhs_atom7(X2,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_6) ).

fof(c_0_8,axiom,
    ! [X2,X1] :
      ( lhs_atom6(X2,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_5) ).

fof(c_0_9,axiom,
    ! [X2,X1] :
      ( lhs_atom4(X2,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_3) ).

fof(c_0_10,axiom,
    ! [X2,X1] :
      ( lhs_atom2(X2,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_1) ).

fof(c_0_11,axiom,
    ! [X1] :
      ( lhs_atom30(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_29) ).

fof(c_0_12,axiom,
    ! [X1] :
      ( lhs_atom29(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_28) ).

fof(c_0_13,axiom,
    ! [X3] :
      ( lhs_atom28(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_27) ).

fof(c_0_14,axiom,
    ! [X1] :
      ( lhs_atom22(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_21) ).

fof(c_0_15,axiom,
    ! [X1] :
      ( lhs_atom21(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_20) ).

fof(c_0_16,axiom,
    ! [X1] :
      ( lhs_atom17(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_16) ).

fof(c_0_17,axiom,
    ! [X4] :
      ( lhs_atom13(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_12) ).

fof(c_0_18,axiom,
    ! [X2] :
      ( lhs_atom12(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_11) ).

fof(c_0_19,axiom,
    ! [X1] :
      ( lhs_atom11(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_10) ).

fof(c_0_20,axiom,
    ! [X1] :
      ( lhs_atom10(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_9) ).

fof(c_0_21,axiom,
    ! [X1] :
      ( lhs_atom3(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_2) ).

fof(c_0_22,axiom,
    ! [X1] :
      ( lhs_atom1(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_23,axiom,
    ( lhs_atom27
    | ~ $true ),
    file('<stdin>',to_be_clausified_26) ).

fof(c_0_24,axiom,
    ( lhs_atom26
    | ~ $true ),
    file('<stdin>',to_be_clausified_25) ).

fof(c_0_25,axiom,
    ( lhs_atom25
    | ~ $true ),
    file('<stdin>',to_be_clausified_24) ).

fof(c_0_26,axiom,
    ( lhs_atom20
    | ~ $true ),
    file('<stdin>',to_be_clausified_19) ).

fof(c_0_27,axiom,
    ( lhs_atom19
    | ~ $true ),
    file('<stdin>',to_be_clausified_18) ).

fof(c_0_28,axiom,
    ( lhs_atom18
    | ~ $true ),
    file('<stdin>',to_be_clausified_17) ).

fof(c_0_29,axiom,
    ( lhs_atom5
    | ~ $true ),
    file('<stdin>',to_be_clausified_4) ).

fof(c_0_30,plain,
    ! [X4,X2,X1] : lhs_atom15(X4,X2,X1),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_31,plain,
    ! [X4,X2,X1] : lhs_atom14(X4,X2,X1),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_32,plain,
    ! [X2,X3,X1] : lhs_atom9(X2,X3,X1),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_33,plain,
    ! [X2,X3,X1] : lhs_atom8(X2,X3,X1),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_34,plain,
    ! [X2,X6] : lhs_atom24(X2,X6),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_35,plain,
    ! [X5,X3] : lhs_atom23(X5,X3),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_36,plain,
    ! [X3,X1] : lhs_atom16(X3,X1),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_37,plain,
    ! [X2,X1] : lhs_atom7(X2,X1),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_38,plain,
    ! [X2,X1] : lhs_atom6(X2,X1),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_39,plain,
    ! [X2,X1] : lhs_atom4(X2,X1),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_40,plain,
    ! [X2,X1] : lhs_atom2(X2,X1),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_41,plain,
    ! [X1] : lhs_atom30(X1),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_42,plain,
    ! [X1] : lhs_atom29(X1),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_43,plain,
    ! [X3] : lhs_atom28(X3),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_44,plain,
    ! [X1] : lhs_atom22(X1),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_45,plain,
    ! [X1] : lhs_atom21(X1),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_46,plain,
    ! [X1] : lhs_atom17(X1),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_47,plain,
    ! [X4] : lhs_atom13(X4),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_48,plain,
    ! [X2] : lhs_atom12(X2),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_49,plain,
    ! [X1] : lhs_atom11(X1),
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_50,plain,
    ! [X1] : lhs_atom10(X1),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_51,plain,
    ! [X1] : lhs_atom3(X1),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_52,plain,
    ! [X1] : lhs_atom1(X1),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_53,plain,
    lhs_atom27,
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_54,plain,
    lhs_atom26,
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_55,plain,
    lhs_atom25,
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_56,plain,
    lhs_atom20,
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_57,plain,
    lhs_atom19,
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

fof(c_0_58,plain,
    lhs_atom18,
    inference(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_59,plain,
    lhs_atom5,
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_60,plain,
    ! [X5,X6,X7] : lhs_atom15(X5,X6,X7),
    inference(variable_rename,[status(thm)],[c_0_30]) ).

fof(c_0_61,plain,
    ! [X5,X6,X7] : lhs_atom14(X5,X6,X7),
    inference(variable_rename,[status(thm)],[c_0_31]) ).

fof(c_0_62,plain,
    ! [X4,X5,X6] : lhs_atom9(X4,X5,X6),
    inference(variable_rename,[status(thm)],[c_0_32]) ).

fof(c_0_63,plain,
    ! [X4,X5,X6] : lhs_atom8(X4,X5,X6),
    inference(variable_rename,[status(thm)],[c_0_33]) ).

fof(c_0_64,plain,
    ! [X7,X8] : lhs_atom24(X7,X8),
    inference(variable_rename,[status(thm)],[c_0_34]) ).

fof(c_0_65,plain,
    ! [X6,X7] : lhs_atom23(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_35]) ).

fof(c_0_66,plain,
    ! [X4,X5] : lhs_atom16(X4,X5),
    inference(variable_rename,[status(thm)],[c_0_36]) ).

fof(c_0_67,plain,
    ! [X3,X4] : lhs_atom7(X3,X4),
    inference(variable_rename,[status(thm)],[c_0_37]) ).

fof(c_0_68,plain,
    ! [X3,X4] : lhs_atom6(X3,X4),
    inference(variable_rename,[status(thm)],[c_0_38]) ).

fof(c_0_69,plain,
    ! [X3,X4] : lhs_atom4(X3,X4),
    inference(variable_rename,[status(thm)],[c_0_39]) ).

fof(c_0_70,plain,
    ! [X3,X4] : lhs_atom2(X3,X4),
    inference(variable_rename,[status(thm)],[c_0_40]) ).

fof(c_0_71,plain,
    ! [X2] : lhs_atom30(X2),
    inference(variable_rename,[status(thm)],[c_0_41]) ).

fof(c_0_72,plain,
    ! [X2] : lhs_atom29(X2),
    inference(variable_rename,[status(thm)],[c_0_42]) ).

fof(c_0_73,plain,
    ! [X4] : lhs_atom28(X4),
    inference(variable_rename,[status(thm)],[c_0_43]) ).

fof(c_0_74,plain,
    ! [X2] : lhs_atom22(X2),
    inference(variable_rename,[status(thm)],[c_0_44]) ).

fof(c_0_75,plain,
    ! [X2] : lhs_atom21(X2),
    inference(variable_rename,[status(thm)],[c_0_45]) ).

fof(c_0_76,plain,
    ! [X2] : lhs_atom17(X2),
    inference(variable_rename,[status(thm)],[c_0_46]) ).

fof(c_0_77,plain,
    ! [X5] : lhs_atom13(X5),
    inference(variable_rename,[status(thm)],[c_0_47]) ).

fof(c_0_78,plain,
    ! [X3] : lhs_atom12(X3),
    inference(variable_rename,[status(thm)],[c_0_48]) ).

fof(c_0_79,plain,
    ! [X2] : lhs_atom11(X2),
    inference(variable_rename,[status(thm)],[c_0_49]) ).

fof(c_0_80,plain,
    ! [X2] : lhs_atom10(X2),
    inference(variable_rename,[status(thm)],[c_0_50]) ).

fof(c_0_81,plain,
    ! [X2] : lhs_atom3(X2),
    inference(variable_rename,[status(thm)],[c_0_51]) ).

fof(c_0_82,plain,
    ! [X2] : lhs_atom1(X2),
    inference(variable_rename,[status(thm)],[c_0_52]) ).

fof(c_0_83,plain,
    lhs_atom27,
    c_0_53 ).

fof(c_0_84,plain,
    lhs_atom26,
    c_0_54 ).

fof(c_0_85,plain,
    lhs_atom25,
    c_0_55 ).

fof(c_0_86,plain,
    lhs_atom20,
    c_0_56 ).

fof(c_0_87,plain,
    lhs_atom19,
    c_0_57 ).

fof(c_0_88,plain,
    lhs_atom18,
    c_0_58 ).

fof(c_0_89,plain,
    lhs_atom5,
    c_0_59 ).

cnf(c_0_90,plain,
    lhs_atom15(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_91,plain,
    lhs_atom14(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_92,plain,
    lhs_atom9(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_93,plain,
    lhs_atom8(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_94,plain,
    lhs_atom24(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_95,plain,
    lhs_atom23(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

cnf(c_0_96,plain,
    lhs_atom16(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_97,plain,
    lhs_atom7(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_98,plain,
    lhs_atom6(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_99,plain,
    lhs_atom4(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_100,plain,
    lhs_atom2(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_101,plain,
    lhs_atom30(X1),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_102,plain,
    lhs_atom29(X1),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_103,plain,
    lhs_atom28(X1),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_104,plain,
    lhs_atom22(X1),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_105,plain,
    lhs_atom21(X1),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_106,plain,
    lhs_atom17(X1),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_107,plain,
    lhs_atom13(X1),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_108,plain,
    lhs_atom12(X1),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_109,plain,
    lhs_atom11(X1),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_110,plain,
    lhs_atom10(X1),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_111,plain,
    lhs_atom3(X1),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_112,plain,
    lhs_atom1(X1),
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

cnf(c_0_113,plain,
    lhs_atom27,
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_114,plain,
    lhs_atom26,
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_115,plain,
    lhs_atom25,
    inference(split_conjunct,[status(thm)],[c_0_85]) ).

cnf(c_0_116,plain,
    lhs_atom20,
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

cnf(c_0_117,plain,
    lhs_atom19,
    inference(split_conjunct,[status(thm)],[c_0_87]) ).

cnf(c_0_118,plain,
    lhs_atom18,
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_119,plain,
    lhs_atom5,
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_120,plain,
    lhs_atom15(X1,X2,X3),
    c_0_90,
    [final] ).

cnf(c_0_121,plain,
    lhs_atom14(X1,X2,X3),
    c_0_91,
    [final] ).

cnf(c_0_122,plain,
    lhs_atom9(X1,X2,X3),
    c_0_92,
    [final] ).

cnf(c_0_123,plain,
    lhs_atom8(X1,X2,X3),
    c_0_93,
    [final] ).

cnf(c_0_124,plain,
    lhs_atom24(X1,X2),
    c_0_94,
    [final] ).

cnf(c_0_125,plain,
    lhs_atom23(X1,X2),
    c_0_95,
    [final] ).

cnf(c_0_126,plain,
    lhs_atom16(X1,X2),
    c_0_96,
    [final] ).

cnf(c_0_127,plain,
    lhs_atom7(X1,X2),
    c_0_97,
    [final] ).

cnf(c_0_128,plain,
    lhs_atom6(X1,X2),
    c_0_98,
    [final] ).

cnf(c_0_129,plain,
    lhs_atom4(X1,X2),
    c_0_99,
    [final] ).

cnf(c_0_130,plain,
    lhs_atom2(X1,X2),
    c_0_100,
    [final] ).

cnf(c_0_131,plain,
    lhs_atom30(X1),
    c_0_101,
    [final] ).

cnf(c_0_132,plain,
    lhs_atom29(X1),
    c_0_102,
    [final] ).

cnf(c_0_133,plain,
    lhs_atom28(X1),
    c_0_103,
    [final] ).

cnf(c_0_134,plain,
    lhs_atom22(X1),
    c_0_104,
    [final] ).

cnf(c_0_135,plain,
    lhs_atom21(X1),
    c_0_105,
    [final] ).

cnf(c_0_136,plain,
    lhs_atom17(X1),
    c_0_106,
    [final] ).

cnf(c_0_137,plain,
    lhs_atom13(X1),
    c_0_107,
    [final] ).

cnf(c_0_138,plain,
    lhs_atom12(X1),
    c_0_108,
    [final] ).

cnf(c_0_139,plain,
    lhs_atom11(X1),
    c_0_109,
    [final] ).

cnf(c_0_140,plain,
    lhs_atom10(X1),
    c_0_110,
    [final] ).

cnf(c_0_141,plain,
    lhs_atom3(X1),
    c_0_111,
    [final] ).

cnf(c_0_142,plain,
    lhs_atom1(X1),
    c_0_112,
    [final] ).

cnf(c_0_143,plain,
    lhs_atom27,
    c_0_113,
    [final] ).

cnf(c_0_144,plain,
    lhs_atom26,
    c_0_114,
    [final] ).

cnf(c_0_145,plain,
    lhs_atom25,
    c_0_115,
    [final] ).

cnf(c_0_146,plain,
    lhs_atom20,
    c_0_116,
    [final] ).

cnf(c_0_147,plain,
    lhs_atom19,
    c_0_117,
    [final] ).

cnf(c_0_148,plain,
    lhs_atom18,
    c_0_118,
    [final] ).

cnf(c_0_149,plain,
    lhs_atom5,
    c_0_119,
    [final] ).

% End CNF derivation
cnf(c_0_120_0,axiom,
    equalish(second(not_subclass_element(restrict(X1,singleton(X3),X2),null_class)),range(X1,X3,X2)),
    inference(unfold_definition,[status(thm)],[c_0_120,def_lhs_atom15]) ).

cnf(c_0_121_0,axiom,
    equalish(first(not_subclass_element(restrict(X1,X3,singleton(X2)),null_class)),domain(X1,X3,X2)),
    inference(unfold_definition,[status(thm)],[c_0_121,def_lhs_atom14]) ).

cnf(c_0_122_0,axiom,
    equalish(intersection(cross_product(X3,X1),X2),restrict(X2,X3,X1)),
    inference(unfold_definition,[status(thm)],[c_0_122,def_lhs_atom9]) ).

cnf(c_0_123_0,axiom,
    equalish(intersection(X2,cross_product(X3,X1)),restrict(X2,X3,X1)),
    inference(unfold_definition,[status(thm)],[c_0_123,def_lhs_atom8]) ).

cnf(c_0_124_0,axiom,
    equalish(sum_class(image(X2,singleton(X1))),apply(X2,X1)),
    inference(unfold_definition,[status(thm)],[c_0_124,def_lhs_atom24]) ).

cnf(c_0_125_0,axiom,
    subclass(compose(X1,X2),cross_product(universal_class,universal_class)),
    inference(unfold_definition,[status(thm)],[c_0_125,def_lhs_atom23]) ).

cnf(c_0_126_0,axiom,
    equalish(range_of(restrict(X1,X2,universal_class)),image(X1,X2)),
    inference(unfold_definition,[status(thm)],[c_0_126,def_lhs_atom16]) ).

cnf(c_0_127_0,axiom,
    equalish(intersection(complement(intersection(X2,X1)),complement(intersection(complement(X2),complement(X1)))),symmetric_difference(X2,X1)),
    inference(unfold_definition,[status(thm)],[c_0_127,def_lhs_atom7]) ).

cnf(c_0_128_0,axiom,
    equalish(complement(intersection(complement(X2),complement(X1))),union(X2,X1)),
    inference(unfold_definition,[status(thm)],[c_0_128,def_lhs_atom6]) ).

cnf(c_0_129_0,axiom,
    equalish(unordered_pair(singleton(X2),unordered_pair(X2,singleton(X1))),ordered_pair(X2,X1)),
    inference(unfold_definition,[status(thm)],[c_0_129,def_lhs_atom4]) ).

cnf(c_0_130_0,axiom,
    member(unordered_pair(X2,X1),universal_class),
    inference(unfold_definition,[status(thm)],[c_0_130,def_lhs_atom2]) ).

cnf(c_0_131_0,axiom,
    subclass(X1,X1),
    inference(unfold_definition,[status(thm)],[c_0_131,def_lhs_atom30]) ).

cnf(c_0_132_0,axiom,
    equalish(intersection(domain_of(X1),diagonalise(compose(inverse(element_relation),X1))),cantor(X1)),
    inference(unfold_definition,[status(thm)],[c_0_132,def_lhs_atom29]) ).

cnf(c_0_133_0,axiom,
    equalish(complement(domain_of(intersection(X1,identity_relation))),diagonalise(X1)),
    inference(unfold_definition,[status(thm)],[c_0_133,def_lhs_atom28]) ).

cnf(c_0_134_0,axiom,
    equalish(complement(image(element_relation,complement(X1))),power_class(X1)),
    inference(unfold_definition,[status(thm)],[c_0_134,def_lhs_atom22]) ).

cnf(c_0_135_0,axiom,
    equalish(domain_of(restrict(element_relation,universal_class,X1)),sum_class(X1)),
    inference(unfold_definition,[status(thm)],[c_0_135,def_lhs_atom21]) ).

cnf(c_0_136_0,axiom,
    equalish(union(X1,singleton(X1)),successor(X1)),
    inference(unfold_definition,[status(thm)],[c_0_136,def_lhs_atom17]) ).

cnf(c_0_137_0,axiom,
    equalish(domain_of(inverse(X1)),range_of(X1)),
    inference(unfold_definition,[status(thm)],[c_0_137,def_lhs_atom13]) ).

cnf(c_0_138_0,axiom,
    equalish(domain_of(flip(cross_product(X1,universal_class))),inverse(X1)),
    inference(unfold_definition,[status(thm)],[c_0_138,def_lhs_atom12]) ).

cnf(c_0_139_0,axiom,
    subclass(flip(X1),cross_product(cross_product(universal_class,universal_class),universal_class)),
    inference(unfold_definition,[status(thm)],[c_0_139,def_lhs_atom11]) ).

cnf(c_0_140_0,axiom,
    subclass(rotate(X1),cross_product(cross_product(universal_class,universal_class),universal_class)),
    inference(unfold_definition,[status(thm)],[c_0_140,def_lhs_atom10]) ).

cnf(c_0_141_0,axiom,
    equalish(unordered_pair(X1,X1),singleton(X1)),
    inference(unfold_definition,[status(thm)],[c_0_141,def_lhs_atom3]) ).

cnf(c_0_142_0,axiom,
    subclass(X1,universal_class),
    inference(unfold_definition,[status(thm)],[c_0_142,def_lhs_atom1]) ).

cnf(c_0_143_0,axiom,
    equalish(intersection(inverse(subset_relation),subset_relation),identity_relation),
    inference(unfold_definition,[status(thm)],[c_0_143,def_lhs_atom27]) ).

cnf(c_0_144_0,axiom,
    equalish(intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation))))),subset_relation),
    inference(unfold_definition,[status(thm)],[c_0_144,def_lhs_atom26]) ).

cnf(c_0_145_0,axiom,
    function(choice),
    inference(unfold_definition,[status(thm)],[c_0_145,def_lhs_atom25]) ).

cnf(c_0_146_0,axiom,
    member(omega,universal_class),
    inference(unfold_definition,[status(thm)],[c_0_146,def_lhs_atom20]) ).

cnf(c_0_147_0,axiom,
    inductive(omega),
    inference(unfold_definition,[status(thm)],[c_0_147,def_lhs_atom19]) ).

cnf(c_0_148_0,axiom,
    subclass(successor_relation,cross_product(universal_class,universal_class)),
    inference(unfold_definition,[status(thm)],[c_0_148,def_lhs_atom18]) ).

cnf(c_0_149_0,axiom,
    subclass(element_relation,cross_product(universal_class,universal_class)),
    inference(unfold_definition,[status(thm)],[c_0_149,def_lhs_atom5]) ).

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
    ! [X6,X7,X8] :
      ( ~ operation(X8)
      | ~ operation(X7)
      | ~ compatible(X6,X8,X7)
      | ~ equalish(apply(X7,ordered_pair(apply(X6,not_homomorphism1(X6,X8,X7)),apply(X6,not_homomorphism2(X6,X8,X7)))),apply(X6,apply(X8,ordered_pair(not_homomorphism1(X6,X8,X7),not_homomorphism2(X6,X8,X7)))))
      | homomorphism(X6,X8,X7) ),
    file('<stdin>',homomorphism6) ).

fof(c_0_1_002,axiom,
    ! [X2,X6,X7,X8,X3] :
      ( ~ homomorphism(X6,X8,X7)
      | ~ member(ordered_pair(X3,X2),domain_of(X8))
      | equalish(apply(X7,ordered_pair(apply(X6,X3),apply(X6,X2))),apply(X6,apply(X8,ordered_pair(X3,X2)))) ),
    file('<stdin>',homomorphism4) ).

fof(c_0_2_003,axiom,
    ! [X6,X7,X8] :
      ( ~ operation(X8)
      | ~ operation(X7)
      | ~ compatible(X6,X8,X7)
      | member(ordered_pair(not_homomorphism1(X6,X8,X7),not_homomorphism2(X6,X8,X7)),domain_of(X8))
      | homomorphism(X6,X8,X7) ),
    file('<stdin>',homomorphism5) ).

fof(c_0_3_004,axiom,
    ! [X3,X13,X4,X5] :
      ( ~ member(ordered_pair(ordered_pair(X4,X13),X5),X3)
      | ~ member(ordered_pair(ordered_pair(X5,X4),X13),cross_product(cross_product(universal_class,universal_class),universal_class))
      | member(ordered_pair(ordered_pair(X5,X4),X13),rotate(X3)) ),
    file('<stdin>',rotate3) ).

fof(c_0_4_005,axiom,
    ! [X3,X13,X4,X5] :
      ( ~ member(ordered_pair(ordered_pair(X4,X5),X13),X3)
      | ~ member(ordered_pair(ordered_pair(X5,X4),X13),cross_product(cross_product(universal_class,universal_class),universal_class))
      | member(ordered_pair(ordered_pair(X5,X4),X13),flip(X3)) ),
    file('<stdin>',flip3) ).

fof(c_0_5_006,axiom,
    ! [X1,X11,X2,X12] :
      ( ~ member(X1,image(X11,image(X12,singleton(X2))))
      | ~ member(ordered_pair(X2,X1),cross_product(universal_class,universal_class))
      | member(ordered_pair(X2,X1),compose(X11,X12)) ),
    file('<stdin>',compose3) ).

fof(c_0_6_007,axiom,
    ! [X10] :
      ( ~ function(X10)
      | ~ equalish(cross_product(domain_of(domain_of(X10)),domain_of(domain_of(X10))),domain_of(X10))
      | ~ subclass(range_of(X10),domain_of(domain_of(X10)))
      | operation(X10) ),
    file('<stdin>',operation4) ).

fof(c_0_7_008,axiom,
    ! [X176,X177,X178,X179] :
      ( ~ equalish(X179,X178)
      | equalish(domain(X179,X177,X176),domain(X178,X177,X176)) ),
    file('<stdin>',domain_substitution1) ).

fof(c_0_8_009,axiom,
    ! [X172,X173,X174,X175] :
      ( ~ equalish(X175,X174)
      | equalish(domain(X173,X175,X172),domain(X173,X174,X172)) ),
    file('<stdin>',domain_substitution2) ).

fof(c_0_9_010,axiom,
    ! [X168,X169,X170,X171] :
      ( ~ equalish(X171,X170)
      | equalish(domain(X169,X168,X171),domain(X169,X168,X170)) ),
    file('<stdin>',domain_substitution3) ).

fof(c_0_10_011,axiom,
    ! [X144,X145,X146,X147] :
      ( ~ equalish(X147,X146)
      | equalish(not_homomorphism1(X147,X145,X144),not_homomorphism1(X146,X145,X144)) ),
    file('<stdin>',not_homomorphism1_substitution1) ).

fof(c_0_11_012,axiom,
    ! [X140,X141,X142,X143] :
      ( ~ equalish(X143,X142)
      | equalish(not_homomorphism1(X141,X143,X140),not_homomorphism1(X141,X142,X140)) ),
    file('<stdin>',not_homomorphism1_substitution2) ).

fof(c_0_12_013,axiom,
    ! [X136,X137,X138,X139] :
      ( ~ equalish(X139,X138)
      | equalish(not_homomorphism1(X137,X136,X139),not_homomorphism1(X137,X136,X138)) ),
    file('<stdin>',not_homomorphism1_substitution3) ).

fof(c_0_13_014,axiom,
    ! [X132,X133,X134,X135] :
      ( ~ equalish(X132,X135)
      | equalish(not_homomorphism2(X132,X134,X133),not_homomorphism2(X135,X134,X133)) ),
    file('<stdin>',not_homomorphism2_substitution1) ).

fof(c_0_14_015,axiom,
    ! [X128,X129,X130,X131] :
      ( ~ equalish(X131,X130)
      | equalish(not_homomorphism2(X129,X131,X128),not_homomorphism2(X129,X130,X128)) ),
    file('<stdin>',not_homomorphism2_substitution2) ).

fof(c_0_15_016,axiom,
    ! [X124,X125,X126,X127] :
      ( ~ equalish(X127,X126)
      | equalish(not_homomorphism2(X125,X124,X127),not_homomorphism2(X125,X124,X126)) ),
    file('<stdin>',not_homomorphism2_substitution3) ).

fof(c_0_16_017,axiom,
    ! [X106,X107,X108,X109] :
      ( ~ equalish(X106,X109)
      | equalish(range(X106,X108,X107),range(X109,X108,X107)) ),
    file('<stdin>',range_substitution1) ).

fof(c_0_17_018,axiom,
    ! [X102,X103,X104,X105] :
      ( ~ equalish(X105,X104)
      | equalish(range(X103,X105,X102),range(X103,X104,X102)) ),
    file('<stdin>',range_substitution2) ).

fof(c_0_18_019,axiom,
    ! [X98,X99,X100,X101] :
      ( ~ equalish(X101,X100)
      | equalish(range(X99,X98,X101),range(X99,X98,X100)) ),
    file('<stdin>',range_substitution3) ).

fof(c_0_19_020,axiom,
    ! [X90,X91,X92,X93] :
      ( ~ equalish(X93,X92)
      | equalish(restrict(X93,X91,X90),restrict(X92,X91,X90)) ),
    file('<stdin>',restrict_substitution1) ).

fof(c_0_20_021,axiom,
    ! [X86,X87,X88,X89] :
      ( ~ equalish(X89,X88)
      | equalish(restrict(X87,X89,X86),restrict(X87,X88,X86)) ),
    file('<stdin>',restrict_substitution2) ).

fof(c_0_21_022,axiom,
    ! [X82,X83,X84,X85] :
      ( ~ equalish(X84,X83)
      | equalish(restrict(X82,X85,X84),restrict(X82,X85,X83)) ),
    file('<stdin>',restrict_substitution3) ).

fof(c_0_22_023,axiom,
    ! [X3,X13,X4,X5] :
      ( ~ member(ordered_pair(ordered_pair(X5,X4),X13),rotate(X3))
      | member(ordered_pair(ordered_pair(X4,X13),X5),X3) ),
    file('<stdin>',rotate2) ).

fof(c_0_23_024,axiom,
    ! [X3,X13,X4,X5] :
      ( ~ member(ordered_pair(ordered_pair(X5,X4),X13),flip(X3))
      | member(ordered_pair(ordered_pair(X4,X5),X13),X3) ),
    file('<stdin>',flip2) ).

fof(c_0_24_025,axiom,
    ! [X1,X3] :
      ( ~ equalish(restrict(X3,singleton(X1),universal_class),null_class)
      | ~ member(X1,domain_of(X3)) ),
    file('<stdin>',domain1) ).

fof(c_0_25_026,axiom,
    ! [X1,X11,X2,X12] :
      ( ~ member(ordered_pair(X2,X1),compose(X11,X12))
      | member(X1,image(X11,image(X12,singleton(X2)))) ),
    file('<stdin>',compose2) ).

fof(c_0_26_027,axiom,
    ! [X9,X6,X7,X8] :
      ( ~ function(X6)
      | ~ equalish(domain_of(domain_of(X8)),domain_of(X6))
      | ~ subclass(range_of(X6),domain_of(domain_of(X7)))
      | compatible(X9,X8,X7) ),
    file('<stdin>',compatible4) ).

fof(c_0_27_028,axiom,
    ! [X1,X3] :
      ( ~ member(X1,universal_class)
      | equalish(restrict(X3,singleton(X1),universal_class),null_class)
      | member(X1,domain_of(X3)) ),
    file('<stdin>',domain2) ).

fof(c_0_28_029,axiom,
    ! [X2,X3] :
      ( ~ equalish(successor(X3),X2)
      | ~ member(ordered_pair(X3,X2),cross_product(universal_class,universal_class))
      | member(ordered_pair(X3,X2),successor_relation) ),
    file('<stdin>',successor_relation3) ).

fof(c_0_29_030,axiom,
    ! [X56,X57,X58,X59] :
      ( ~ equalish(X58,X57)
      | ~ compatible(X58,X56,X59)
      | compatible(X57,X56,X59) ),
    file('<stdin>',compatible_substitution1) ).

fof(c_0_30_031,axiom,
    ! [X52,X53,X54,X55] :
      ( ~ equalish(X55,X54)
      | ~ compatible(X53,X55,X52)
      | compatible(X53,X54,X52) ),
    file('<stdin>',compatible_substitution2) ).

fof(c_0_31_032,axiom,
    ! [X48,X49,X50,X51] :
      ( ~ equalish(X51,X50)
      | ~ compatible(X49,X48,X51)
      | compatible(X49,X48,X50) ),
    file('<stdin>',compatible_substitution3) ).

fof(c_0_32_033,axiom,
    ! [X42,X43,X44,X45] :
      ( ~ equalish(X45,X44)
      | ~ homomorphism(X45,X43,X42)
      | homomorphism(X44,X43,X42) ),
    file('<stdin>',homomorphism_substitution1) ).

fof(c_0_33_034,axiom,
    ! [X38,X39,X40,X41] :
      ( ~ equalish(X41,X40)
      | ~ homomorphism(X39,X41,X38)
      | homomorphism(X39,X40,X38) ),
    file('<stdin>',homomorphism_substitution2) ).

fof(c_0_34_035,axiom,
    ! [X34,X35,X36,X37] :
      ( ~ equalish(X37,X36)
      | ~ homomorphism(X35,X34,X37)
      | homomorphism(X35,X34,X36) ),
    file('<stdin>',homomorphism_substitution3) ).

fof(c_0_35_036,axiom,
    ! [X2,X3] :
      ( ~ member(ordered_pair(X3,X2),cross_product(universal_class,universal_class))
      | ~ member(X3,X2)
      | member(ordered_pair(X3,X2),element_relation) ),
    file('<stdin>',element_relation3) ).

fof(c_0_36_037,axiom,
    ! [X2,X3,X4,X5] :
      ( ~ member(ordered_pair(X3,X2),cross_product(X5,X4))
      | member(X3,unordered_pair(X3,X2)) ),
    file('<stdin>',corollary_1_to_unordered_pair) ).

fof(c_0_37_038,axiom,
    ! [X2,X3,X4,X5] :
      ( ~ member(ordered_pair(X3,X2),cross_product(X5,X4))
      | member(X2,unordered_pair(X3,X2)) ),
    file('<stdin>',corollary_2_to_unordered_pair) ).

fof(c_0_38_039,axiom,
    ! [X6,X7,X8] :
      ( ~ homomorphism(X6,X8,X7)
      | compatible(X6,X8,X7) ),
    file('<stdin>',homomorphism3) ).

fof(c_0_39_040,axiom,
    ! [X10] :
      ( ~ subclass(X10,cross_product(universal_class,universal_class))
      | ~ subclass(compose(X10,inverse(X10)),identity_relation)
      | function(X10) ),
    file('<stdin>',function3) ).

fof(c_0_40_041,axiom,
    ! [X1,X2,X3] :
      ( ~ member(X1,cross_product(X3,X2))
      | equalish(ordered_pair(first(X1),second(X1)),X1) ),
    file('<stdin>',cartesian_product4) ).

fof(c_0_41_042,axiom,
    ! [X10] :
      ( ~ operation(X10)
      | equalish(cross_product(domain_of(domain_of(X10)),domain_of(domain_of(X10))),domain_of(X10)) ),
    file('<stdin>',operation2) ).

fof(c_0_42_043,axiom,
    ! [X6,X7,X8] :
      ( ~ compatible(X6,X8,X7)
      | equalish(domain_of(domain_of(X8)),domain_of(X6)) ),
    file('<stdin>',compatible2) ).

fof(c_0_43_044,axiom,
    ! [X6,X7,X8] :
      ( ~ compatible(X6,X8,X7)
      | subclass(range_of(X6),domain_of(domain_of(X7))) ),
    file('<stdin>',compatible3) ).

fof(c_0_44_045,axiom,
    ! [X2,X3,X4,X5] :
      ( ~ member(ordered_pair(X5,X4),cross_product(X3,X2))
      | member(X5,X3) ),
    file('<stdin>',cartesian_product1) ).

fof(c_0_45_046,axiom,
    ! [X2,X3,X4,X5] :
      ( ~ member(ordered_pair(X5,X4),cross_product(X3,X2))
      | member(X4,X2) ),
    file('<stdin>',cartesian_product2) ).

fof(c_0_46_047,axiom,
    ! [X2,X3,X4,X5] :
      ( ~ member(ordered_pair(X5,X4),cross_product(X3,X2))
      | member(X5,universal_class) ),
    file('<stdin>',corollary_1_to_cartesian_product) ).

fof(c_0_47_048,axiom,
    ! [X2,X3,X4,X5] :
      ( ~ member(ordered_pair(X5,X4),cross_product(X3,X2))
      | member(X4,universal_class) ),
    file('<stdin>',corollary_2_to_cartesian_product) ).

fof(c_0_48_049,axiom,
    ! [X2,X3,X4,X5] :
      ( ~ member(X5,X3)
      | ~ member(X4,X2)
      | member(ordered_pair(X5,X4),cross_product(X3,X2)) ),
    file('<stdin>',cartesian_product3) ).

fof(c_0_49_050,axiom,
    ! [X2,X3,X5] :
      ( ~ member(X5,unordered_pair(X3,X2))
      | equalish(X5,X3)
      | equalish(X5,X2) ),
    file('<stdin>',unordered_pair_member) ).

fof(c_0_50_051,axiom,
    ! [X6,X7,X8] :
      ( ~ compatible(X6,X8,X7)
      | function(X6) ),
    file('<stdin>',compatible1) ).

fof(c_0_51_052,axiom,
    ! [X6,X7,X8] :
      ( ~ homomorphism(X6,X8,X7)
      | operation(X8) ),
    file('<stdin>',homomorphism1) ).

fof(c_0_52_053,axiom,
    ! [X6,X7,X8] :
      ( ~ homomorphism(X6,X8,X7)
      | operation(X7) ),
    file('<stdin>',homomorphism2) ).

fof(c_0_53_054,axiom,
    ! [X201,X202,X203] :
      ( ~ equalish(X203,X202)
      | equalish(apply(X203,X201),apply(X202,X201)) ),
    file('<stdin>',apply_substitution1) ).

fof(c_0_54_055,axiom,
    ! [X198,X199,X200] :
      ( ~ equalish(X200,X199)
      | equalish(apply(X198,X200),apply(X198,X199)) ),
    file('<stdin>',apply_substitution2) ).

fof(c_0_55_056,axiom,
    ! [X191,X192,X193] :
      ( ~ equalish(X193,X192)
      | equalish(compose(X193,X191),compose(X192,X191)) ),
    file('<stdin>',compose_substitution1) ).

fof(c_0_56_057,axiom,
    ! [X188,X189,X190] :
      ( ~ equalish(X190,X189)
      | equalish(compose(X188,X190),compose(X188,X189)) ),
    file('<stdin>',compose_substitution2) ).

fof(c_0_57_058,axiom,
    ! [X4,X5,X187] :
      ( ~ equalish(X187,X5)
      | equalish(cross_product(X187,X4),cross_product(X5,X4)) ),
    file('<stdin>',cross_product_substitution1) ).

fof(c_0_58_059,axiom,
    ! [X2,X3,X13] :
      ( ~ equalish(X13,X3)
      | equalish(cross_product(X2,X13),cross_product(X2,X3)) ),
    file('<stdin>',cross_product_substitution2) ).

fof(c_0_59_060,axiom,
    ! [X183,X184,X185] :
      ( ~ equalish(X185,X184)
      | equalish(symmetric_difference(X185,X183),symmetric_difference(X184,X183)) ),
    file('<stdin>',symmetric_difference_substitution1) ).

fof(c_0_60_061,axiom,
    ! [X180,X181,X182] :
      ( ~ equalish(X182,X181)
      | equalish(symmetric_difference(X180,X182),symmetric_difference(X180,X181)) ),
    file('<stdin>',symmetric_difference_substitution2) ).

fof(c_0_61_062,axiom,
    ! [X159,X160,X161] :
      ( ~ equalish(X159,X161)
      | equalish(image(X159,X160),image(X161,X160)) ),
    file('<stdin>',image_substitution1) ).

fof(c_0_62_063,axiom,
    ! [X156,X157,X158] :
      ( ~ equalish(X158,X157)
      | equalish(image(X156,X158),image(X156,X157)) ),
    file('<stdin>',image_substitution2) ).

fof(c_0_63_064,axiom,
    ! [X153,X154,X155] :
      ( ~ equalish(X155,X154)
      | equalish(intersection(X155,X153),intersection(X154,X153)) ),
    file('<stdin>',intersection_substitution1) ).

fof(c_0_64_065,axiom,
    ! [X150,X151,X152] :
      ( ~ equalish(X152,X151)
      | equalish(intersection(X150,X152),intersection(X150,X151)) ),
    file('<stdin>',intersection_substitution2) ).

fof(c_0_65_066,axiom,
    ! [X121,X122,X123] :
      ( ~ equalish(X123,X122)
      | equalish(not_subclass_element(X123,X121),not_subclass_element(X122,X121)) ),
    file('<stdin>',not_subclass_element_substitution1) ).

fof(c_0_66_067,axiom,
    ! [X118,X119,X120] :
      ( ~ equalish(X120,X119)
      | equalish(not_subclass_element(X118,X120),not_subclass_element(X118,X119)) ),
    file('<stdin>',not_subclass_element_substitution2) ).

fof(c_0_67_068,axiom,
    ! [X115,X116,X117] :
      ( ~ equalish(X117,X116)
      | equalish(ordered_pair(X117,X115),ordered_pair(X116,X115)) ),
    file('<stdin>',ordered_pair_substitution1) ).

fof(c_0_68_069,axiom,
    ! [X112,X113,X114] :
      ( ~ equalish(X114,X113)
      | equalish(ordered_pair(X112,X114),ordered_pair(X112,X113)) ),
    file('<stdin>',ordered_pair_substitution2) ).

fof(c_0_69_070,axiom,
    ! [X69,X70,X71] :
      ( ~ equalish(X71,X70)
      | equalish(union(X71,X69),union(X70,X69)) ),
    file('<stdin>',union_substitution1) ).

fof(c_0_70_071,axiom,
    ! [X66,X67,X68] :
      ( ~ equalish(X68,X67)
      | equalish(union(X66,X68),union(X66,X67)) ),
    file('<stdin>',union_substitution2) ).

fof(c_0_71_072,axiom,
    ! [X63,X64,X65] :
      ( ~ equalish(X65,X64)
      | equalish(unordered_pair(X65,X63),unordered_pair(X64,X63)) ),
    file('<stdin>',unordered_pair_substitution1) ).

fof(c_0_72_073,axiom,
    ! [X60,X61,X62] :
      ( ~ equalish(X62,X61)
      | equalish(unordered_pair(X60,X62),unordered_pair(X60,X61)) ),
    file('<stdin>',unordered_pair_substitution2) ).

fof(c_0_73_074,axiom,
    ! [X1,X2,X3] :
      ( ~ member(X1,X3)
      | ~ member(X1,X2)
      | member(X1,intersection(X3,X2)) ),
    file('<stdin>',intersection3) ).

fof(c_0_74_075,axiom,
    ! [X3] :
      ( ~ subclass(compose(X3,inverse(X3)),identity_relation)
      | single_valued_class(X3) ),
    file('<stdin>',single_valued_class2) ).

fof(c_0_75_076,axiom,
    ! [X3] :
      ( ~ member(null_class,X3)
      | ~ subclass(image(successor_relation,X3),X3)
      | inductive(X3) ),
    file('<stdin>',inductive3) ).

fof(c_0_76_077,axiom,
    ! [X2,X3] :
      ( ~ member(ordered_pair(X3,X2),successor_relation)
      | equalish(successor(X3),X2) ),
    file('<stdin>',successor_relation2) ).

fof(c_0_77_078,axiom,
    ! [X2,X3] :
      ( ~ member(not_subclass_element(X3,X2),X2)
      | subclass(X3,X2) ),
    file('<stdin>',not_subclass_members2) ).

fof(c_0_78_079,axiom,
    ! [X1,X2,X3] :
      ( ~ member(X1,intersection(X3,X2))
      | member(X1,X3) ),
    file('<stdin>',intersection1) ).

fof(c_0_79_080,axiom,
    ! [X1,X2,X3] :
      ( ~ member(X1,intersection(X3,X2))
      | member(X1,X2) ),
    file('<stdin>',intersection2) ).

fof(c_0_80_081,axiom,
    ! [X2,X3] :
      ( ~ member(ordered_pair(X3,X2),element_relation)
      | member(X3,X2) ),
    file('<stdin>',element_relation2) ).

fof(c_0_81_082,axiom,
    ! [X2] :
      ( ~ member(X2,universal_class)
      | equalish(X2,null_class)
      | member(apply(choice,X2),X2) ),
    file('<stdin>',choice2) ).

fof(c_0_82_083,axiom,
    ! [X10,X3] :
      ( ~ function(X10)
      | ~ member(X3,universal_class)
      | member(image(X10,X3),universal_class) ),
    file('<stdin>',replacement) ).

fof(c_0_83_084,axiom,
    ! [X3] :
      ( equalish(X3,null_class)
      | equalish(intersection(X3,regular(X3)),null_class) ),
    file('<stdin>',regularity2) ).

fof(c_0_84_085,axiom,
    ! [X2,X3] :
      ( ~ member(X3,universal_class)
      | member(X3,unordered_pair(X3,X2)) ),
    file('<stdin>',unordered_pair2) ).

fof(c_0_85_086,axiom,
    ! [X2,X3] :
      ( ~ member(X2,universal_class)
      | member(X2,unordered_pair(X3,X2)) ),
    file('<stdin>',unordered_pair3) ).

fof(c_0_86_087,axiom,
    ! [X1,X2,X3] :
      ( ~ equalish(X3,X2)
      | ~ equalish(X2,X1)
      | equalish(X3,X1) ),
    file('<stdin>',transitivity) ).

fof(c_0_87_088,axiom,
    ! [X29,X30,X31] :
      ( ~ equalish(X29,X31)
      | ~ member(X29,X30)
      | member(X31,X30) ),
    file('<stdin>',member_substitution1) ).

fof(c_0_88_089,axiom,
    ! [X26,X27,X28] :
      ( ~ equalish(X28,X27)
      | ~ member(X26,X28)
      | member(X26,X27) ),
    file('<stdin>',member_substitution2) ).

fof(c_0_89_090,axiom,
    ! [X17,X18,X19] :
      ( ~ equalish(X19,X18)
      | ~ subclass(X19,X17)
      | subclass(X18,X17) ),
    file('<stdin>',subclass_substitution1) ).

fof(c_0_90_091,axiom,
    ! [X14,X15,X16] :
      ( ~ equalish(X16,X15)
      | ~ subclass(X14,X16)
      | subclass(X14,X15) ),
    file('<stdin>',subclass_substitution2) ).

fof(c_0_91_092,axiom,
    ! [X2,X3,X5] :
      ( ~ subclass(X3,X2)
      | ~ member(X5,X3)
      | member(X5,X2) ),
    file('<stdin>',subclass_members) ).

fof(c_0_92_093,axiom,
    ! [X2,X3] :
      ( ~ subclass(X3,X2)
      | ~ subclass(X2,X3)
      | equalish(X3,X2) ),
    file('<stdin>',subclass_implies_equal) ).

fof(c_0_93_094,axiom,
    ! [X1,X2,X3] :
      ( ~ subclass(X3,X2)
      | ~ subclass(X2,X1)
      | subclass(X3,X1) ),
    file('<stdin>',transitivity_of_subclass) ).

fof(c_0_94_095,axiom,
    ! [X3] :
      ( ~ single_valued_class(X3)
      | subclass(compose(X3,inverse(X3)),identity_relation) ),
    file('<stdin>',single_valued_class1) ).

fof(c_0_95_096,axiom,
    ! [X10] :
      ( ~ function(X10)
      | subclass(compose(X10,inverse(X10)),identity_relation) ),
    file('<stdin>',function2) ).

fof(c_0_96_097,axiom,
    ! [X1,X3] :
      ( ~ member(X1,universal_class)
      | member(X1,complement(X3))
      | member(X1,X3) ),
    file('<stdin>',complement2) ).

fof(c_0_97_098,axiom,
    ! [X1,X3] :
      ( ~ member(X1,complement(X3))
      | ~ member(X1,X3) ),
    file('<stdin>',complement1) ).

fof(c_0_98_099,axiom,
    ! [X2,X3] :
      ( member(not_subclass_element(X3,X2),X3)
      | subclass(X3,X2) ),
    file('<stdin>',not_subclass_members1) ).

fof(c_0_99_100,axiom,
    ! [X196,X197] :
      ( ~ equalish(X197,X196)
      | equalish(cantor(X197),cantor(X196)) ),
    file('<stdin>',cantor_substitution1) ).

fof(c_0_100_101,axiom,
    ! [X194,X195] :
      ( ~ equalish(X195,X194)
      | equalish(complement(X195),complement(X194)) ),
    file('<stdin>',complement_substitution1) ).

fof(c_0_101_102,axiom,
    ! [X1,X186] :
      ( ~ equalish(X1,X186)
      | equalish(diagonalise(X1),diagonalise(X186)) ),
    file('<stdin>',diagonalise_substitution1) ).

fof(c_0_102_103,axiom,
    ! [X166,X167] :
      ( ~ equalish(X167,X166)
      | equalish(domain_of(X167),domain_of(X166)) ),
    file('<stdin>',domain_of_substitution1) ).

fof(c_0_103_104,axiom,
    ! [X164,X165] :
      ( ~ equalish(X165,X164)
      | equalish(first(X165),first(X164)) ),
    file('<stdin>',first_substitution1) ).

fof(c_0_104_105,axiom,
    ! [X162,X163] :
      ( ~ equalish(X163,X162)
      | equalish(flip(X163),flip(X162)) ),
    file('<stdin>',flip_substitution1) ).

fof(c_0_105_106,axiom,
    ! [X148,X149] :
      ( ~ equalish(X149,X148)
      | equalish(inverse(X149),inverse(X148)) ),
    file('<stdin>',inverse_substitution1) ).

fof(c_0_106_107,axiom,
    ! [X110,X111] :
      ( ~ equalish(X111,X110)
      | equalish(power_class(X111),power_class(X110)) ),
    file('<stdin>',power_class_substitution1) ).

fof(c_0_107_108,axiom,
    ! [X96,X97] :
      ( ~ equalish(X97,X96)
      | equalish(range_of(X97),range_of(X96)) ),
    file('<stdin>',range_of_substitution1) ).

fof(c_0_108_109,axiom,
    ! [X94,X95] :
      ( ~ equalish(X95,X94)
      | equalish(regular(X95),regular(X94)) ),
    file('<stdin>',regular_substitution1) ).

fof(c_0_109_110,axiom,
    ! [X80,X81] :
      ( ~ equalish(X81,X80)
      | equalish(rotate(X81),rotate(X80)) ),
    file('<stdin>',rotate_substitution1) ).

fof(c_0_110_111,axiom,
    ! [X78,X79] :
      ( ~ equalish(X79,X78)
      | equalish(second(X79),second(X78)) ),
    file('<stdin>',second_substitution1) ).

fof(c_0_111_112,axiom,
    ! [X76,X77] :
      ( ~ equalish(X77,X76)
      | equalish(singleton(X77),singleton(X76)) ),
    file('<stdin>',singleton_substitution1) ).

fof(c_0_112_113,axiom,
    ! [X74,X75] :
      ( ~ equalish(X75,X74)
      | equalish(successor(X75),successor(X74)) ),
    file('<stdin>',successor_substitution1) ).

fof(c_0_113_114,axiom,
    ! [X72,X73] :
      ( ~ equalish(X73,X72)
      | equalish(sum_class(X73),sum_class(X72)) ),
    file('<stdin>',sum_class_substitution1) ).

fof(c_0_114_115,axiom,
    ! [X10] :
      ( ~ operation(X10)
      | subclass(range_of(X10),domain_of(domain_of(X10))) ),
    file('<stdin>',operation3) ).

fof(c_0_115_116,axiom,
    ! [X3] :
      ( ~ inductive(X3)
      | subclass(image(successor_relation,X3),X3) ),
    file('<stdin>',inductive2) ).

fof(c_0_116_117,axiom,
    ! [X10] :
      ( ~ function(X10)
      | subclass(X10,cross_product(universal_class,universal_class)) ),
    file('<stdin>',function1) ).

fof(c_0_117_118,axiom,
    ! [X3] :
      ( ~ member(X3,universal_class)
      | member(sum_class(X3),universal_class) ),
    file('<stdin>',sum_class2) ).

fof(c_0_118_119,axiom,
    ! [X5] :
      ( ~ member(X5,universal_class)
      | member(power_class(X5),universal_class) ),
    file('<stdin>',power_class2) ).

fof(c_0_119_120,axiom,
    ! [X2,X3] :
      ( ~ equalish(X3,X2)
      | equalish(X2,X3) ),
    file('<stdin>',symmetry) ).

fof(c_0_120_121,axiom,
    ! [X2,X3] :
      ( ~ equalish(X3,X2)
      | subclass(X3,X2) ),
    file('<stdin>',equal_implies_subclass1) ).

fof(c_0_121_122,axiom,
    ! [X2,X3] :
      ( ~ equalish(X3,X2)
      | subclass(X2,X3) ),
    file('<stdin>',equal_implies_subclass2) ).

fof(c_0_122_123,axiom,
    ! [X46,X47] :
      ( ~ equalish(X47,X46)
      | ~ function(X47)
      | function(X46) ),
    file('<stdin>',function_substitution1) ).

fof(c_0_123_124,axiom,
    ! [X32,X33] :
      ( ~ equalish(X33,X32)
      | ~ inductive(X33)
      | inductive(X32) ),
    file('<stdin>',inductive_substitution1) ).

fof(c_0_124_125,axiom,
    ! [X24,X25] :
      ( ~ equalish(X25,X24)
      | ~ one_to_one(X25)
      | one_to_one(X24) ),
    file('<stdin>',one_to_one_substitution1) ).

fof(c_0_125_126,axiom,
    ! [X22,X23] :
      ( ~ equalish(X23,X22)
      | ~ operation(X23)
      | operation(X22) ),
    file('<stdin>',operation_substitution1) ).

fof(c_0_126_127,axiom,
    ! [X20,X21] :
      ( ~ equalish(X21,X20)
      | ~ single_valued_class(X21)
      | single_valued_class(X20) ),
    file('<stdin>',single_valued_class_substitution1) ).

fof(c_0_127_128,axiom,
    ! [X3] :
      ( equalish(X3,null_class)
      | member(regular(X3),X3) ),
    file('<stdin>',regularity1) ).

fof(c_0_128_129,axiom,
    ! [X10] :
      ( ~ function(inverse(X10))
      | ~ function(X10)
      | one_to_one(X10) ),
    file('<stdin>',one_to_one3) ).

fof(c_0_129_130,axiom,
    ! [X3] :
      ( ~ inductive(X3)
      | member(null_class,X3) ),
    file('<stdin>',inductive1) ).

fof(c_0_130_131,axiom,
    ! [X2] :
      ( ~ inductive(X2)
      | subclass(omega,X2) ),
    file('<stdin>',omega_is_inductive2) ).

fof(c_0_131_132,axiom,
    ! [X10] :
      ( ~ one_to_one(X10)
      | function(inverse(X10)) ),
    file('<stdin>',one_to_one2) ).

fof(c_0_132_133,axiom,
    ! [X10] :
      ( ~ one_to_one(X10)
      | function(X10) ),
    file('<stdin>',one_to_one1) ).

fof(c_0_133_134,axiom,
    ! [X10] :
      ( ~ operation(X10)
      | function(X10) ),
    file('<stdin>',operation1) ).

fof(c_0_134_135,plain,
    ! [X6,X7,X8] :
      ( ~ operation(X8)
      | ~ operation(X7)
      | ~ compatible(X6,X8,X7)
      | ~ equalish(apply(X7,ordered_pair(apply(X6,not_homomorphism1(X6,X8,X7)),apply(X6,not_homomorphism2(X6,X8,X7)))),apply(X6,apply(X8,ordered_pair(not_homomorphism1(X6,X8,X7),not_homomorphism2(X6,X8,X7)))))
      | homomorphism(X6,X8,X7) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_135_136,plain,
    ! [X2,X6,X7,X8,X3] :
      ( ~ homomorphism(X6,X8,X7)
      | ~ member(ordered_pair(X3,X2),domain_of(X8))
      | equalish(apply(X7,ordered_pair(apply(X6,X3),apply(X6,X2))),apply(X6,apply(X8,ordered_pair(X3,X2)))) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_136_137,plain,
    ! [X6,X7,X8] :
      ( ~ operation(X8)
      | ~ operation(X7)
      | ~ compatible(X6,X8,X7)
      | member(ordered_pair(not_homomorphism1(X6,X8,X7),not_homomorphism2(X6,X8,X7)),domain_of(X8))
      | homomorphism(X6,X8,X7) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_137_138,plain,
    ! [X3,X13,X4,X5] :
      ( ~ member(ordered_pair(ordered_pair(X4,X13),X5),X3)
      | ~ member(ordered_pair(ordered_pair(X5,X4),X13),cross_product(cross_product(universal_class,universal_class),universal_class))
      | member(ordered_pair(ordered_pair(X5,X4),X13),rotate(X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_138_139,plain,
    ! [X3,X13,X4,X5] :
      ( ~ member(ordered_pair(ordered_pair(X4,X5),X13),X3)
      | ~ member(ordered_pair(ordered_pair(X5,X4),X13),cross_product(cross_product(universal_class,universal_class),universal_class))
      | member(ordered_pair(ordered_pair(X5,X4),X13),flip(X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_139_140,plain,
    ! [X1,X11,X2,X12] :
      ( ~ member(X1,image(X11,image(X12,singleton(X2))))
      | ~ member(ordered_pair(X2,X1),cross_product(universal_class,universal_class))
      | member(ordered_pair(X2,X1),compose(X11,X12)) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_140_141,plain,
    ! [X10] :
      ( ~ function(X10)
      | ~ equalish(cross_product(domain_of(domain_of(X10)),domain_of(domain_of(X10))),domain_of(X10))
      | ~ subclass(range_of(X10),domain_of(domain_of(X10)))
      | operation(X10) ),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_141_142,plain,
    ! [X176,X177,X178,X179] :
      ( ~ equalish(X179,X178)
      | equalish(domain(X179,X177,X176),domain(X178,X177,X176)) ),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_142_143,plain,
    ! [X172,X173,X174,X175] :
      ( ~ equalish(X175,X174)
      | equalish(domain(X173,X175,X172),domain(X173,X174,X172)) ),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_143_144,plain,
    ! [X168,X169,X170,X171] :
      ( ~ equalish(X171,X170)
      | equalish(domain(X169,X168,X171),domain(X169,X168,X170)) ),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_144_145,plain,
    ! [X144,X145,X146,X147] :
      ( ~ equalish(X147,X146)
      | equalish(not_homomorphism1(X147,X145,X144),not_homomorphism1(X146,X145,X144)) ),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_145_146,plain,
    ! [X140,X141,X142,X143] :
      ( ~ equalish(X143,X142)
      | equalish(not_homomorphism1(X141,X143,X140),not_homomorphism1(X141,X142,X140)) ),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_146_147,plain,
    ! [X136,X137,X138,X139] :
      ( ~ equalish(X139,X138)
      | equalish(not_homomorphism1(X137,X136,X139),not_homomorphism1(X137,X136,X138)) ),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_147_148,plain,
    ! [X132,X133,X134,X135] :
      ( ~ equalish(X132,X135)
      | equalish(not_homomorphism2(X132,X134,X133),not_homomorphism2(X135,X134,X133)) ),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_148_149,plain,
    ! [X128,X129,X130,X131] :
      ( ~ equalish(X131,X130)
      | equalish(not_homomorphism2(X129,X131,X128),not_homomorphism2(X129,X130,X128)) ),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_149_150,plain,
    ! [X124,X125,X126,X127] :
      ( ~ equalish(X127,X126)
      | equalish(not_homomorphism2(X125,X124,X127),not_homomorphism2(X125,X124,X126)) ),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_150,plain,
    ! [X106,X107,X108,X109] :
      ( ~ equalish(X106,X109)
      | equalish(range(X106,X108,X107),range(X109,X108,X107)) ),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_151,plain,
    ! [X102,X103,X104,X105] :
      ( ~ equalish(X105,X104)
      | equalish(range(X103,X105,X102),range(X103,X104,X102)) ),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_152,plain,
    ! [X98,X99,X100,X101] :
      ( ~ equalish(X101,X100)
      | equalish(range(X99,X98,X101),range(X99,X98,X100)) ),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_153,plain,
    ! [X90,X91,X92,X93] :
      ( ~ equalish(X93,X92)
      | equalish(restrict(X93,X91,X90),restrict(X92,X91,X90)) ),
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_154,plain,
    ! [X86,X87,X88,X89] :
      ( ~ equalish(X89,X88)
      | equalish(restrict(X87,X89,X86),restrict(X87,X88,X86)) ),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_155,plain,
    ! [X82,X83,X84,X85] :
      ( ~ equalish(X84,X83)
      | equalish(restrict(X82,X85,X84),restrict(X82,X85,X83)) ),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_156,plain,
    ! [X3,X13,X4,X5] :
      ( ~ member(ordered_pair(ordered_pair(X5,X4),X13),rotate(X3))
      | member(ordered_pair(ordered_pair(X4,X13),X5),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_157,plain,
    ! [X3,X13,X4,X5] :
      ( ~ member(ordered_pair(ordered_pair(X5,X4),X13),flip(X3))
      | member(ordered_pair(ordered_pair(X4,X5),X13),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_158,plain,
    ! [X1,X3] :
      ( ~ equalish(restrict(X3,singleton(X1),universal_class),null_class)
      | ~ member(X1,domain_of(X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_159,plain,
    ! [X1,X11,X2,X12] :
      ( ~ member(ordered_pair(X2,X1),compose(X11,X12))
      | member(X1,image(X11,image(X12,singleton(X2)))) ),
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_160,plain,
    ! [X9,X6,X7,X8] :
      ( ~ function(X6)
      | ~ equalish(domain_of(domain_of(X8)),domain_of(X6))
      | ~ subclass(range_of(X6),domain_of(domain_of(X7)))
      | compatible(X9,X8,X7) ),
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_161,plain,
    ! [X1,X3] :
      ( ~ member(X1,universal_class)
      | equalish(restrict(X3,singleton(X1),universal_class),null_class)
      | member(X1,domain_of(X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

fof(c_0_162,plain,
    ! [X2,X3] :
      ( ~ equalish(successor(X3),X2)
      | ~ member(ordered_pair(X3,X2),cross_product(universal_class,universal_class))
      | member(ordered_pair(X3,X2),successor_relation) ),
    inference(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_163,plain,
    ! [X56,X57,X58,X59] :
      ( ~ equalish(X58,X57)
      | ~ compatible(X58,X56,X59)
      | compatible(X57,X56,X59) ),
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_164,plain,
    ! [X52,X53,X54,X55] :
      ( ~ equalish(X55,X54)
      | ~ compatible(X53,X55,X52)
      | compatible(X53,X54,X52) ),
    inference(fof_simplification,[status(thm)],[c_0_30]) ).

fof(c_0_165,plain,
    ! [X48,X49,X50,X51] :
      ( ~ equalish(X51,X50)
      | ~ compatible(X49,X48,X51)
      | compatible(X49,X48,X50) ),
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_166,plain,
    ! [X42,X43,X44,X45] :
      ( ~ equalish(X45,X44)
      | ~ homomorphism(X45,X43,X42)
      | homomorphism(X44,X43,X42) ),
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_167,plain,
    ! [X38,X39,X40,X41] :
      ( ~ equalish(X41,X40)
      | ~ homomorphism(X39,X41,X38)
      | homomorphism(X39,X40,X38) ),
    inference(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_168,plain,
    ! [X34,X35,X36,X37] :
      ( ~ equalish(X37,X36)
      | ~ homomorphism(X35,X34,X37)
      | homomorphism(X35,X34,X36) ),
    inference(fof_simplification,[status(thm)],[c_0_34]) ).

fof(c_0_169,plain,
    ! [X2,X3] :
      ( ~ member(ordered_pair(X3,X2),cross_product(universal_class,universal_class))
      | ~ member(X3,X2)
      | member(ordered_pair(X3,X2),element_relation) ),
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_170,plain,
    ! [X2,X3,X4,X5] :
      ( ~ member(ordered_pair(X3,X2),cross_product(X5,X4))
      | member(X3,unordered_pair(X3,X2)) ),
    inference(fof_simplification,[status(thm)],[c_0_36]) ).

fof(c_0_171,plain,
    ! [X2,X3,X4,X5] :
      ( ~ member(ordered_pair(X3,X2),cross_product(X5,X4))
      | member(X2,unordered_pair(X3,X2)) ),
    inference(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_172,plain,
    ! [X6,X7,X8] :
      ( ~ homomorphism(X6,X8,X7)
      | compatible(X6,X8,X7) ),
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

fof(c_0_173,plain,
    ! [X10] :
      ( ~ subclass(X10,cross_product(universal_class,universal_class))
      | ~ subclass(compose(X10,inverse(X10)),identity_relation)
      | function(X10) ),
    inference(fof_simplification,[status(thm)],[c_0_39]) ).

fof(c_0_174,plain,
    ! [X1,X2,X3] :
      ( ~ member(X1,cross_product(X3,X2))
      | equalish(ordered_pair(first(X1),second(X1)),X1) ),
    inference(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_175,plain,
    ! [X10] :
      ( ~ operation(X10)
      | equalish(cross_product(domain_of(domain_of(X10)),domain_of(domain_of(X10))),domain_of(X10)) ),
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_176,plain,
    ! [X6,X7,X8] :
      ( ~ compatible(X6,X8,X7)
      | equalish(domain_of(domain_of(X8)),domain_of(X6)) ),
    inference(fof_simplification,[status(thm)],[c_0_42]) ).

fof(c_0_177,plain,
    ! [X6,X7,X8] :
      ( ~ compatible(X6,X8,X7)
      | subclass(range_of(X6),domain_of(domain_of(X7))) ),
    inference(fof_simplification,[status(thm)],[c_0_43]) ).

fof(c_0_178,plain,
    ! [X2,X3,X4,X5] :
      ( ~ member(ordered_pair(X5,X4),cross_product(X3,X2))
      | member(X5,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

fof(c_0_179,plain,
    ! [X2,X3,X4,X5] :
      ( ~ member(ordered_pair(X5,X4),cross_product(X3,X2))
      | member(X4,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_45]) ).

fof(c_0_180,plain,
    ! [X2,X3,X4,X5] :
      ( ~ member(ordered_pair(X5,X4),cross_product(X3,X2))
      | member(X5,universal_class) ),
    inference(fof_simplification,[status(thm)],[c_0_46]) ).

fof(c_0_181,plain,
    ! [X2,X3,X4,X5] :
      ( ~ member(ordered_pair(X5,X4),cross_product(X3,X2))
      | member(X4,universal_class) ),
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

fof(c_0_182,plain,
    ! [X2,X3,X4,X5] :
      ( ~ member(X5,X3)
      | ~ member(X4,X2)
      | member(ordered_pair(X5,X4),cross_product(X3,X2)) ),
    inference(fof_simplification,[status(thm)],[c_0_48]) ).

fof(c_0_183,plain,
    ! [X2,X3,X5] :
      ( ~ member(X5,unordered_pair(X3,X2))
      | equalish(X5,X3)
      | equalish(X5,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_49]) ).

fof(c_0_184,plain,
    ! [X6,X7,X8] :
      ( ~ compatible(X6,X8,X7)
      | function(X6) ),
    inference(fof_simplification,[status(thm)],[c_0_50]) ).

fof(c_0_185,plain,
    ! [X6,X7,X8] :
      ( ~ homomorphism(X6,X8,X7)
      | operation(X8) ),
    inference(fof_simplification,[status(thm)],[c_0_51]) ).

fof(c_0_186,plain,
    ! [X6,X7,X8] :
      ( ~ homomorphism(X6,X8,X7)
      | operation(X7) ),
    inference(fof_simplification,[status(thm)],[c_0_52]) ).

fof(c_0_187,plain,
    ! [X201,X202,X203] :
      ( ~ equalish(X203,X202)
      | equalish(apply(X203,X201),apply(X202,X201)) ),
    inference(fof_simplification,[status(thm)],[c_0_53]) ).

fof(c_0_188,plain,
    ! [X198,X199,X200] :
      ( ~ equalish(X200,X199)
      | equalish(apply(X198,X200),apply(X198,X199)) ),
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

fof(c_0_189,plain,
    ! [X191,X192,X193] :
      ( ~ equalish(X193,X192)
      | equalish(compose(X193,X191),compose(X192,X191)) ),
    inference(fof_simplification,[status(thm)],[c_0_55]) ).

fof(c_0_190,plain,
    ! [X188,X189,X190] :
      ( ~ equalish(X190,X189)
      | equalish(compose(X188,X190),compose(X188,X189)) ),
    inference(fof_simplification,[status(thm)],[c_0_56]) ).

fof(c_0_191,plain,
    ! [X4,X5,X187] :
      ( ~ equalish(X187,X5)
      | equalish(cross_product(X187,X4),cross_product(X5,X4)) ),
    inference(fof_simplification,[status(thm)],[c_0_57]) ).

fof(c_0_192,plain,
    ! [X2,X3,X13] :
      ( ~ equalish(X13,X3)
      | equalish(cross_product(X2,X13),cross_product(X2,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_58]) ).

fof(c_0_193,plain,
    ! [X183,X184,X185] :
      ( ~ equalish(X185,X184)
      | equalish(symmetric_difference(X185,X183),symmetric_difference(X184,X183)) ),
    inference(fof_simplification,[status(thm)],[c_0_59]) ).

fof(c_0_194,plain,
    ! [X180,X181,X182] :
      ( ~ equalish(X182,X181)
      | equalish(symmetric_difference(X180,X182),symmetric_difference(X180,X181)) ),
    inference(fof_simplification,[status(thm)],[c_0_60]) ).

fof(c_0_195,plain,
    ! [X159,X160,X161] :
      ( ~ equalish(X159,X161)
      | equalish(image(X159,X160),image(X161,X160)) ),
    inference(fof_simplification,[status(thm)],[c_0_61]) ).

fof(c_0_196,plain,
    ! [X156,X157,X158] :
      ( ~ equalish(X158,X157)
      | equalish(image(X156,X158),image(X156,X157)) ),
    inference(fof_simplification,[status(thm)],[c_0_62]) ).

fof(c_0_197,plain,
    ! [X153,X154,X155] :
      ( ~ equalish(X155,X154)
      | equalish(intersection(X155,X153),intersection(X154,X153)) ),
    inference(fof_simplification,[status(thm)],[c_0_63]) ).

fof(c_0_198,plain,
    ! [X150,X151,X152] :
      ( ~ equalish(X152,X151)
      | equalish(intersection(X150,X152),intersection(X150,X151)) ),
    inference(fof_simplification,[status(thm)],[c_0_64]) ).

fof(c_0_199,plain,
    ! [X121,X122,X123] :
      ( ~ equalish(X123,X122)
      | equalish(not_subclass_element(X123,X121),not_subclass_element(X122,X121)) ),
    inference(fof_simplification,[status(thm)],[c_0_65]) ).

fof(c_0_200,plain,
    ! [X118,X119,X120] :
      ( ~ equalish(X120,X119)
      | equalish(not_subclass_element(X118,X120),not_subclass_element(X118,X119)) ),
    inference(fof_simplification,[status(thm)],[c_0_66]) ).

fof(c_0_201,plain,
    ! [X115,X116,X117] :
      ( ~ equalish(X117,X116)
      | equalish(ordered_pair(X117,X115),ordered_pair(X116,X115)) ),
    inference(fof_simplification,[status(thm)],[c_0_67]) ).

fof(c_0_202,plain,
    ! [X112,X113,X114] :
      ( ~ equalish(X114,X113)
      | equalish(ordered_pair(X112,X114),ordered_pair(X112,X113)) ),
    inference(fof_simplification,[status(thm)],[c_0_68]) ).

fof(c_0_203,plain,
    ! [X69,X70,X71] :
      ( ~ equalish(X71,X70)
      | equalish(union(X71,X69),union(X70,X69)) ),
    inference(fof_simplification,[status(thm)],[c_0_69]) ).

fof(c_0_204,plain,
    ! [X66,X67,X68] :
      ( ~ equalish(X68,X67)
      | equalish(union(X66,X68),union(X66,X67)) ),
    inference(fof_simplification,[status(thm)],[c_0_70]) ).

fof(c_0_205,plain,
    ! [X63,X64,X65] :
      ( ~ equalish(X65,X64)
      | equalish(unordered_pair(X65,X63),unordered_pair(X64,X63)) ),
    inference(fof_simplification,[status(thm)],[c_0_71]) ).

fof(c_0_206,plain,
    ! [X60,X61,X62] :
      ( ~ equalish(X62,X61)
      | equalish(unordered_pair(X60,X62),unordered_pair(X60,X61)) ),
    inference(fof_simplification,[status(thm)],[c_0_72]) ).

fof(c_0_207,plain,
    ! [X1,X2,X3] :
      ( ~ member(X1,X3)
      | ~ member(X1,X2)
      | member(X1,intersection(X3,X2)) ),
    inference(fof_simplification,[status(thm)],[c_0_73]) ).

fof(c_0_208,plain,
    ! [X3] :
      ( ~ subclass(compose(X3,inverse(X3)),identity_relation)
      | single_valued_class(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_74]) ).

fof(c_0_209,plain,
    ! [X3] :
      ( ~ member(null_class,X3)
      | ~ subclass(image(successor_relation,X3),X3)
      | inductive(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_75]) ).

fof(c_0_210,plain,
    ! [X2,X3] :
      ( ~ member(ordered_pair(X3,X2),successor_relation)
      | equalish(successor(X3),X2) ),
    inference(fof_simplification,[status(thm)],[c_0_76]) ).

fof(c_0_211,plain,
    ! [X2,X3] :
      ( ~ member(not_subclass_element(X3,X2),X2)
      | subclass(X3,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_77]) ).

fof(c_0_212,plain,
    ! [X1,X2,X3] :
      ( ~ member(X1,intersection(X3,X2))
      | member(X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_78]) ).

fof(c_0_213,plain,
    ! [X1,X2,X3] :
      ( ~ member(X1,intersection(X3,X2))
      | member(X1,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_79]) ).

fof(c_0_214,plain,
    ! [X2,X3] :
      ( ~ member(ordered_pair(X3,X2),element_relation)
      | member(X3,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_80]) ).

fof(c_0_215,plain,
    ! [X2] :
      ( ~ member(X2,universal_class)
      | equalish(X2,null_class)
      | member(apply(choice,X2),X2) ),
    inference(fof_simplification,[status(thm)],[c_0_81]) ).

fof(c_0_216,plain,
    ! [X10,X3] :
      ( ~ function(X10)
      | ~ member(X3,universal_class)
      | member(image(X10,X3),universal_class) ),
    inference(fof_simplification,[status(thm)],[c_0_82]) ).

fof(c_0_217,axiom,
    ! [X3] :
      ( equalish(X3,null_class)
      | equalish(intersection(X3,regular(X3)),null_class) ),
    c_0_83 ).

fof(c_0_218,plain,
    ! [X2,X3] :
      ( ~ member(X3,universal_class)
      | member(X3,unordered_pair(X3,X2)) ),
    inference(fof_simplification,[status(thm)],[c_0_84]) ).

fof(c_0_219,plain,
    ! [X2,X3] :
      ( ~ member(X2,universal_class)
      | member(X2,unordered_pair(X3,X2)) ),
    inference(fof_simplification,[status(thm)],[c_0_85]) ).

fof(c_0_220,plain,
    ! [X1,X2,X3] :
      ( ~ equalish(X3,X2)
      | ~ equalish(X2,X1)
      | equalish(X3,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_86]) ).

fof(c_0_221,plain,
    ! [X29,X30,X31] :
      ( ~ equalish(X29,X31)
      | ~ member(X29,X30)
      | member(X31,X30) ),
    inference(fof_simplification,[status(thm)],[c_0_87]) ).

fof(c_0_222,plain,
    ! [X26,X27,X28] :
      ( ~ equalish(X28,X27)
      | ~ member(X26,X28)
      | member(X26,X27) ),
    inference(fof_simplification,[status(thm)],[c_0_88]) ).

fof(c_0_223,plain,
    ! [X17,X18,X19] :
      ( ~ equalish(X19,X18)
      | ~ subclass(X19,X17)
      | subclass(X18,X17) ),
    inference(fof_simplification,[status(thm)],[c_0_89]) ).

fof(c_0_224,plain,
    ! [X14,X15,X16] :
      ( ~ equalish(X16,X15)
      | ~ subclass(X14,X16)
      | subclass(X14,X15) ),
    inference(fof_simplification,[status(thm)],[c_0_90]) ).

fof(c_0_225,plain,
    ! [X2,X3,X5] :
      ( ~ subclass(X3,X2)
      | ~ member(X5,X3)
      | member(X5,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_91]) ).

fof(c_0_226,plain,
    ! [X2,X3] :
      ( ~ subclass(X3,X2)
      | ~ subclass(X2,X3)
      | equalish(X3,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_92]) ).

fof(c_0_227,plain,
    ! [X1,X2,X3] :
      ( ~ subclass(X3,X2)
      | ~ subclass(X2,X1)
      | subclass(X3,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_93]) ).

fof(c_0_228,plain,
    ! [X3] :
      ( ~ single_valued_class(X3)
      | subclass(compose(X3,inverse(X3)),identity_relation) ),
    inference(fof_simplification,[status(thm)],[c_0_94]) ).

fof(c_0_229,plain,
    ! [X10] :
      ( ~ function(X10)
      | subclass(compose(X10,inverse(X10)),identity_relation) ),
    inference(fof_simplification,[status(thm)],[c_0_95]) ).

fof(c_0_230,plain,
    ! [X1,X3] :
      ( ~ member(X1,universal_class)
      | member(X1,complement(X3))
      | member(X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_96]) ).

fof(c_0_231,plain,
    ! [X1,X3] :
      ( ~ member(X1,complement(X3))
      | ~ member(X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_97]) ).

fof(c_0_232,axiom,
    ! [X2,X3] :
      ( member(not_subclass_element(X3,X2),X3)
      | subclass(X3,X2) ),
    c_0_98 ).

fof(c_0_233,plain,
    ! [X196,X197] :
      ( ~ equalish(X197,X196)
      | equalish(cantor(X197),cantor(X196)) ),
    inference(fof_simplification,[status(thm)],[c_0_99]) ).

fof(c_0_234,plain,
    ! [X194,X195] :
      ( ~ equalish(X195,X194)
      | equalish(complement(X195),complement(X194)) ),
    inference(fof_simplification,[status(thm)],[c_0_100]) ).

fof(c_0_235,plain,
    ! [X1,X186] :
      ( ~ equalish(X1,X186)
      | equalish(diagonalise(X1),diagonalise(X186)) ),
    inference(fof_simplification,[status(thm)],[c_0_101]) ).

fof(c_0_236,plain,
    ! [X166,X167] :
      ( ~ equalish(X167,X166)
      | equalish(domain_of(X167),domain_of(X166)) ),
    inference(fof_simplification,[status(thm)],[c_0_102]) ).

fof(c_0_237,plain,
    ! [X164,X165] :
      ( ~ equalish(X165,X164)
      | equalish(first(X165),first(X164)) ),
    inference(fof_simplification,[status(thm)],[c_0_103]) ).

fof(c_0_238,plain,
    ! [X162,X163] :
      ( ~ equalish(X163,X162)
      | equalish(flip(X163),flip(X162)) ),
    inference(fof_simplification,[status(thm)],[c_0_104]) ).

fof(c_0_239,plain,
    ! [X148,X149] :
      ( ~ equalish(X149,X148)
      | equalish(inverse(X149),inverse(X148)) ),
    inference(fof_simplification,[status(thm)],[c_0_105]) ).

fof(c_0_240,plain,
    ! [X110,X111] :
      ( ~ equalish(X111,X110)
      | equalish(power_class(X111),power_class(X110)) ),
    inference(fof_simplification,[status(thm)],[c_0_106]) ).

fof(c_0_241,plain,
    ! [X96,X97] :
      ( ~ equalish(X97,X96)
      | equalish(range_of(X97),range_of(X96)) ),
    inference(fof_simplification,[status(thm)],[c_0_107]) ).

fof(c_0_242,plain,
    ! [X94,X95] :
      ( ~ equalish(X95,X94)
      | equalish(regular(X95),regular(X94)) ),
    inference(fof_simplification,[status(thm)],[c_0_108]) ).

fof(c_0_243,plain,
    ! [X80,X81] :
      ( ~ equalish(X81,X80)
      | equalish(rotate(X81),rotate(X80)) ),
    inference(fof_simplification,[status(thm)],[c_0_109]) ).

fof(c_0_244,plain,
    ! [X78,X79] :
      ( ~ equalish(X79,X78)
      | equalish(second(X79),second(X78)) ),
    inference(fof_simplification,[status(thm)],[c_0_110]) ).

fof(c_0_245,plain,
    ! [X76,X77] :
      ( ~ equalish(X77,X76)
      | equalish(singleton(X77),singleton(X76)) ),
    inference(fof_simplification,[status(thm)],[c_0_111]) ).

fof(c_0_246,plain,
    ! [X74,X75] :
      ( ~ equalish(X75,X74)
      | equalish(successor(X75),successor(X74)) ),
    inference(fof_simplification,[status(thm)],[c_0_112]) ).

fof(c_0_247,plain,
    ! [X72,X73] :
      ( ~ equalish(X73,X72)
      | equalish(sum_class(X73),sum_class(X72)) ),
    inference(fof_simplification,[status(thm)],[c_0_113]) ).

fof(c_0_248,plain,
    ! [X10] :
      ( ~ operation(X10)
      | subclass(range_of(X10),domain_of(domain_of(X10))) ),
    inference(fof_simplification,[status(thm)],[c_0_114]) ).

fof(c_0_249,plain,
    ! [X3] :
      ( ~ inductive(X3)
      | subclass(image(successor_relation,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_115]) ).

fof(c_0_250,plain,
    ! [X10] :
      ( ~ function(X10)
      | subclass(X10,cross_product(universal_class,universal_class)) ),
    inference(fof_simplification,[status(thm)],[c_0_116]) ).

fof(c_0_251,plain,
    ! [X3] :
      ( ~ member(X3,universal_class)
      | member(sum_class(X3),universal_class) ),
    inference(fof_simplification,[status(thm)],[c_0_117]) ).

fof(c_0_252,plain,
    ! [X5] :
      ( ~ member(X5,universal_class)
      | member(power_class(X5),universal_class) ),
    inference(fof_simplification,[status(thm)],[c_0_118]) ).

fof(c_0_253,plain,
    ! [X2,X3] :
      ( ~ equalish(X3,X2)
      | equalish(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_119]) ).

fof(c_0_254,plain,
    ! [X2,X3] :
      ( ~ equalish(X3,X2)
      | subclass(X3,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_120]) ).

fof(c_0_255,plain,
    ! [X2,X3] :
      ( ~ equalish(X3,X2)
      | subclass(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_121]) ).

fof(c_0_256,plain,
    ! [X46,X47] :
      ( ~ equalish(X47,X46)
      | ~ function(X47)
      | function(X46) ),
    inference(fof_simplification,[status(thm)],[c_0_122]) ).

fof(c_0_257,plain,
    ! [X32,X33] :
      ( ~ equalish(X33,X32)
      | ~ inductive(X33)
      | inductive(X32) ),
    inference(fof_simplification,[status(thm)],[c_0_123]) ).

fof(c_0_258,plain,
    ! [X24,X25] :
      ( ~ equalish(X25,X24)
      | ~ one_to_one(X25)
      | one_to_one(X24) ),
    inference(fof_simplification,[status(thm)],[c_0_124]) ).

fof(c_0_259,plain,
    ! [X22,X23] :
      ( ~ equalish(X23,X22)
      | ~ operation(X23)
      | operation(X22) ),
    inference(fof_simplification,[status(thm)],[c_0_125]) ).

fof(c_0_260,plain,
    ! [X20,X21] :
      ( ~ equalish(X21,X20)
      | ~ single_valued_class(X21)
      | single_valued_class(X20) ),
    inference(fof_simplification,[status(thm)],[c_0_126]) ).

fof(c_0_261,axiom,
    ! [X3] :
      ( equalish(X3,null_class)
      | member(regular(X3),X3) ),
    c_0_127 ).

fof(c_0_262,plain,
    ! [X10] :
      ( ~ function(inverse(X10))
      | ~ function(X10)
      | one_to_one(X10) ),
    inference(fof_simplification,[status(thm)],[c_0_128]) ).

fof(c_0_263,plain,
    ! [X3] :
      ( ~ inductive(X3)
      | member(null_class,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_129]) ).

fof(c_0_264,plain,
    ! [X2] :
      ( ~ inductive(X2)
      | subclass(omega,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_130]) ).

fof(c_0_265,plain,
    ! [X10] :
      ( ~ one_to_one(X10)
      | function(inverse(X10)) ),
    inference(fof_simplification,[status(thm)],[c_0_131]) ).

fof(c_0_266,plain,
    ! [X10] :
      ( ~ one_to_one(X10)
      | function(X10) ),
    inference(fof_simplification,[status(thm)],[c_0_132]) ).

fof(c_0_267,plain,
    ! [X10] :
      ( ~ operation(X10)
      | function(X10) ),
    inference(fof_simplification,[status(thm)],[c_0_133]) ).

fof(c_0_268,plain,
    ! [X9,X10,X11] :
      ( ~ operation(X11)
      | ~ operation(X10)
      | ~ compatible(X9,X11,X10)
      | ~ equalish(apply(X10,ordered_pair(apply(X9,not_homomorphism1(X9,X11,X10)),apply(X9,not_homomorphism2(X9,X11,X10)))),apply(X9,apply(X11,ordered_pair(not_homomorphism1(X9,X11,X10),not_homomorphism2(X9,X11,X10)))))
      | homomorphism(X9,X11,X10) ),
    inference(variable_rename,[status(thm)],[c_0_134]) ).

fof(c_0_269,plain,
    ! [X9,X10,X11,X12,X13] :
      ( ~ homomorphism(X10,X12,X11)
      | ~ member(ordered_pair(X13,X9),domain_of(X12))
      | equalish(apply(X11,ordered_pair(apply(X10,X13),apply(X10,X9))),apply(X10,apply(X12,ordered_pair(X13,X9)))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_135])])]) ).

fof(c_0_270,plain,
    ! [X9,X10,X11] :
      ( ~ operation(X11)
      | ~ operation(X10)
      | ~ compatible(X9,X11,X10)
      | member(ordered_pair(not_homomorphism1(X9,X11,X10),not_homomorphism2(X9,X11,X10)),domain_of(X11))
      | homomorphism(X9,X11,X10) ),
    inference(variable_rename,[status(thm)],[c_0_136]) ).

fof(c_0_271,plain,
    ! [X14,X15,X16,X17] :
      ( ~ member(ordered_pair(ordered_pair(X16,X15),X17),X14)
      | ~ member(ordered_pair(ordered_pair(X17,X16),X15),cross_product(cross_product(universal_class,universal_class),universal_class))
      | member(ordered_pair(ordered_pair(X17,X16),X15),rotate(X14)) ),
    inference(variable_rename,[status(thm)],[c_0_137]) ).

fof(c_0_272,plain,
    ! [X14,X15,X16,X17] :
      ( ~ member(ordered_pair(ordered_pair(X16,X17),X15),X14)
      | ~ member(ordered_pair(ordered_pair(X17,X16),X15),cross_product(cross_product(universal_class,universal_class),universal_class))
      | member(ordered_pair(ordered_pair(X17,X16),X15),flip(X14)) ),
    inference(variable_rename,[status(thm)],[c_0_138]) ).

fof(c_0_273,plain,
    ! [X13,X14,X15,X16] :
      ( ~ member(X13,image(X14,image(X16,singleton(X15))))
      | ~ member(ordered_pair(X15,X13),cross_product(universal_class,universal_class))
      | member(ordered_pair(X15,X13),compose(X14,X16)) ),
    inference(variable_rename,[status(thm)],[c_0_139]) ).

fof(c_0_274,plain,
    ! [X11] :
      ( ~ function(X11)
      | ~ equalish(cross_product(domain_of(domain_of(X11)),domain_of(domain_of(X11))),domain_of(X11))
      | ~ subclass(range_of(X11),domain_of(domain_of(X11)))
      | operation(X11) ),
    inference(variable_rename,[status(thm)],[c_0_140]) ).

fof(c_0_275,plain,
    ! [X180,X181,X182,X183] :
      ( ~ equalish(X183,X182)
      | equalish(domain(X183,X181,X180),domain(X182,X181,X180)) ),
    inference(variable_rename,[status(thm)],[c_0_141]) ).

fof(c_0_276,plain,
    ! [X176,X177,X178,X179] :
      ( ~ equalish(X179,X178)
      | equalish(domain(X177,X179,X176),domain(X177,X178,X176)) ),
    inference(variable_rename,[status(thm)],[c_0_142]) ).

fof(c_0_277,plain,
    ! [X172,X173,X174,X175] :
      ( ~ equalish(X175,X174)
      | equalish(domain(X173,X172,X175),domain(X173,X172,X174)) ),
    inference(variable_rename,[status(thm)],[c_0_143]) ).

fof(c_0_278,plain,
    ! [X148,X149,X150,X151] :
      ( ~ equalish(X151,X150)
      | equalish(not_homomorphism1(X151,X149,X148),not_homomorphism1(X150,X149,X148)) ),
    inference(variable_rename,[status(thm)],[c_0_144]) ).

fof(c_0_279,plain,
    ! [X144,X145,X146,X147] :
      ( ~ equalish(X147,X146)
      | equalish(not_homomorphism1(X145,X147,X144),not_homomorphism1(X145,X146,X144)) ),
    inference(variable_rename,[status(thm)],[c_0_145]) ).

fof(c_0_280,plain,
    ! [X140,X141,X142,X143] :
      ( ~ equalish(X143,X142)
      | equalish(not_homomorphism1(X141,X140,X143),not_homomorphism1(X141,X140,X142)) ),
    inference(variable_rename,[status(thm)],[c_0_146]) ).

fof(c_0_281,plain,
    ! [X136,X137,X138,X139] :
      ( ~ equalish(X136,X139)
      | equalish(not_homomorphism2(X136,X138,X137),not_homomorphism2(X139,X138,X137)) ),
    inference(variable_rename,[status(thm)],[c_0_147]) ).

fof(c_0_282,plain,
    ! [X132,X133,X134,X135] :
      ( ~ equalish(X135,X134)
      | equalish(not_homomorphism2(X133,X135,X132),not_homomorphism2(X133,X134,X132)) ),
    inference(variable_rename,[status(thm)],[c_0_148]) ).

fof(c_0_283,plain,
    ! [X128,X129,X130,X131] :
      ( ~ equalish(X131,X130)
      | equalish(not_homomorphism2(X129,X128,X131),not_homomorphism2(X129,X128,X130)) ),
    inference(variable_rename,[status(thm)],[c_0_149]) ).

fof(c_0_284,plain,
    ! [X110,X111,X112,X113] :
      ( ~ equalish(X110,X113)
      | equalish(range(X110,X112,X111),range(X113,X112,X111)) ),
    inference(variable_rename,[status(thm)],[c_0_150]) ).

fof(c_0_285,plain,
    ! [X106,X107,X108,X109] :
      ( ~ equalish(X109,X108)
      | equalish(range(X107,X109,X106),range(X107,X108,X106)) ),
    inference(variable_rename,[status(thm)],[c_0_151]) ).

fof(c_0_286,plain,
    ! [X102,X103,X104,X105] :
      ( ~ equalish(X105,X104)
      | equalish(range(X103,X102,X105),range(X103,X102,X104)) ),
    inference(variable_rename,[status(thm)],[c_0_152]) ).

fof(c_0_287,plain,
    ! [X94,X95,X96,X97] :
      ( ~ equalish(X97,X96)
      | equalish(restrict(X97,X95,X94),restrict(X96,X95,X94)) ),
    inference(variable_rename,[status(thm)],[c_0_153]) ).

fof(c_0_288,plain,
    ! [X90,X91,X92,X93] :
      ( ~ equalish(X93,X92)
      | equalish(restrict(X91,X93,X90),restrict(X91,X92,X90)) ),
    inference(variable_rename,[status(thm)],[c_0_154]) ).

fof(c_0_289,plain,
    ! [X86,X87,X88,X89] :
      ( ~ equalish(X88,X87)
      | equalish(restrict(X86,X89,X88),restrict(X86,X89,X87)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_155])])]) ).

fof(c_0_290,plain,
    ! [X14,X15,X16,X17] :
      ( ~ member(ordered_pair(ordered_pair(X17,X16),X15),rotate(X14))
      | member(ordered_pair(ordered_pair(X16,X15),X17),X14) ),
    inference(variable_rename,[status(thm)],[c_0_156]) ).

fof(c_0_291,plain,
    ! [X14,X15,X16,X17] :
      ( ~ member(ordered_pair(ordered_pair(X17,X16),X15),flip(X14))
      | member(ordered_pair(ordered_pair(X16,X17),X15),X14) ),
    inference(variable_rename,[status(thm)],[c_0_157]) ).

fof(c_0_292,plain,
    ! [X4,X5] :
      ( ~ equalish(restrict(X5,singleton(X4),universal_class),null_class)
      | ~ member(X4,domain_of(X5)) ),
    inference(variable_rename,[status(thm)],[c_0_158]) ).

fof(c_0_293,plain,
    ! [X13,X14,X15,X16] :
      ( ~ member(ordered_pair(X15,X13),compose(X14,X16))
      | member(X13,image(X14,image(X16,singleton(X15)))) ),
    inference(variable_rename,[status(thm)],[c_0_159]) ).

fof(c_0_294,plain,
    ! [X10,X11,X12,X13] :
      ( ~ function(X11)
      | ~ equalish(domain_of(domain_of(X13)),domain_of(X11))
      | ~ subclass(range_of(X11),domain_of(domain_of(X12)))
      | compatible(X10,X13,X12) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_160])])]) ).

fof(c_0_295,plain,
    ! [X4,X5] :
      ( ~ member(X4,universal_class)
      | equalish(restrict(X5,singleton(X4),universal_class),null_class)
      | member(X4,domain_of(X5)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_161])])]) ).

fof(c_0_296,plain,
    ! [X4,X5] :
      ( ~ equalish(successor(X5),X4)
      | ~ member(ordered_pair(X5,X4),cross_product(universal_class,universal_class))
      | member(ordered_pair(X5,X4),successor_relation) ),
    inference(variable_rename,[status(thm)],[c_0_162]) ).

fof(c_0_297,plain,
    ! [X60,X61,X62,X63] :
      ( ~ equalish(X62,X61)
      | ~ compatible(X62,X60,X63)
      | compatible(X61,X60,X63) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_163])])]) ).

fof(c_0_298,plain,
    ! [X56,X57,X58,X59] :
      ( ~ equalish(X59,X58)
      | ~ compatible(X57,X59,X56)
      | compatible(X57,X58,X56) ),
    inference(variable_rename,[status(thm)],[c_0_164]) ).

fof(c_0_299,plain,
    ! [X52,X53,X54,X55] :
      ( ~ equalish(X55,X54)
      | ~ compatible(X53,X52,X55)
      | compatible(X53,X52,X54) ),
    inference(variable_rename,[status(thm)],[c_0_165]) ).

fof(c_0_300,plain,
    ! [X46,X47,X48,X49] :
      ( ~ equalish(X49,X48)
      | ~ homomorphism(X49,X47,X46)
      | homomorphism(X48,X47,X46) ),
    inference(variable_rename,[status(thm)],[c_0_166]) ).

fof(c_0_301,plain,
    ! [X42,X43,X44,X45] :
      ( ~ equalish(X45,X44)
      | ~ homomorphism(X43,X45,X42)
      | homomorphism(X43,X44,X42) ),
    inference(variable_rename,[status(thm)],[c_0_167]) ).

fof(c_0_302,plain,
    ! [X38,X39,X40,X41] :
      ( ~ equalish(X41,X40)
      | ~ homomorphism(X39,X38,X41)
      | homomorphism(X39,X38,X40) ),
    inference(variable_rename,[status(thm)],[c_0_168]) ).

fof(c_0_303,plain,
    ! [X4,X5] :
      ( ~ member(ordered_pair(X5,X4),cross_product(universal_class,universal_class))
      | ~ member(X5,X4)
      | member(ordered_pair(X5,X4),element_relation) ),
    inference(variable_rename,[status(thm)],[c_0_169]) ).

fof(c_0_304,plain,
    ! [X6,X7,X8,X9] :
      ( ~ member(ordered_pair(X7,X6),cross_product(X9,X8))
      | member(X7,unordered_pair(X7,X6)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_170])])]) ).

fof(c_0_305,plain,
    ! [X6,X7,X8,X9] :
      ( ~ member(ordered_pair(X7,X6),cross_product(X9,X8))
      | member(X6,unordered_pair(X7,X6)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_171])])]) ).

fof(c_0_306,plain,
    ! [X9,X10,X11] :
      ( ~ homomorphism(X9,X11,X10)
      | compatible(X9,X11,X10) ),
    inference(variable_rename,[status(thm)],[c_0_172]) ).

fof(c_0_307,plain,
    ! [X11] :
      ( ~ subclass(X11,cross_product(universal_class,universal_class))
      | ~ subclass(compose(X11,inverse(X11)),identity_relation)
      | function(X11) ),
    inference(variable_rename,[status(thm)],[c_0_173]) ).

fof(c_0_308,plain,
    ! [X4,X5,X6] :
      ( ~ member(X4,cross_product(X6,X5))
      | equalish(ordered_pair(first(X4),second(X4)),X4) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_174])])]) ).

fof(c_0_309,plain,
    ! [X11] :
      ( ~ operation(X11)
      | equalish(cross_product(domain_of(domain_of(X11)),domain_of(domain_of(X11))),domain_of(X11)) ),
    inference(variable_rename,[status(thm)],[c_0_175]) ).

fof(c_0_310,plain,
    ! [X9,X10,X11] :
      ( ~ compatible(X9,X11,X10)
      | equalish(domain_of(domain_of(X11)),domain_of(X9)) ),
    inference(variable_rename,[status(thm)],[c_0_176]) ).

fof(c_0_311,plain,
    ! [X9,X10,X11] :
      ( ~ compatible(X9,X11,X10)
      | subclass(range_of(X9),domain_of(domain_of(X10))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_177])])]) ).

fof(c_0_312,plain,
    ! [X6,X7,X8,X9] :
      ( ~ member(ordered_pair(X9,X8),cross_product(X7,X6))
      | member(X9,X7) ),
    inference(variable_rename,[status(thm)],[c_0_178]) ).

fof(c_0_313,plain,
    ! [X6,X7,X8,X9] :
      ( ~ member(ordered_pair(X9,X8),cross_product(X7,X6))
      | member(X8,X6) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_179])])]) ).

fof(c_0_314,plain,
    ! [X6,X7,X8,X9] :
      ( ~ member(ordered_pair(X9,X8),cross_product(X7,X6))
      | member(X9,universal_class) ),
    inference(variable_rename,[status(thm)],[c_0_180]) ).

fof(c_0_315,plain,
    ! [X6,X7,X8,X9] :
      ( ~ member(ordered_pair(X9,X8),cross_product(X7,X6))
      | member(X8,universal_class) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_181])])]) ).

fof(c_0_316,plain,
    ! [X6,X7,X8,X9] :
      ( ~ member(X9,X7)
      | ~ member(X8,X6)
      | member(ordered_pair(X9,X8),cross_product(X7,X6)) ),
    inference(variable_rename,[status(thm)],[c_0_182]) ).

fof(c_0_317,plain,
    ! [X6,X7,X8] :
      ( ~ member(X8,unordered_pair(X7,X6))
      | equalish(X8,X7)
      | equalish(X8,X6) ),
    inference(variable_rename,[status(thm)],[c_0_183]) ).

fof(c_0_318,plain,
    ! [X9,X10,X11] :
      ( ~ compatible(X9,X11,X10)
      | function(X9) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_184])])]) ).

fof(c_0_319,plain,
    ! [X9,X10,X11] :
      ( ~ homomorphism(X9,X11,X10)
      | operation(X11) ),
    inference(variable_rename,[status(thm)],[c_0_185]) ).

fof(c_0_320,plain,
    ! [X9,X10,X11] :
      ( ~ homomorphism(X9,X11,X10)
      | operation(X10) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_186])])]) ).

fof(c_0_321,plain,
    ! [X204,X205,X206] :
      ( ~ equalish(X206,X205)
      | equalish(apply(X206,X204),apply(X205,X204)) ),
    inference(variable_rename,[status(thm)],[c_0_187]) ).

fof(c_0_322,plain,
    ! [X201,X202,X203] :
      ( ~ equalish(X203,X202)
      | equalish(apply(X201,X203),apply(X201,X202)) ),
    inference(variable_rename,[status(thm)],[c_0_188]) ).

fof(c_0_323,plain,
    ! [X194,X195,X196] :
      ( ~ equalish(X196,X195)
      | equalish(compose(X196,X194),compose(X195,X194)) ),
    inference(variable_rename,[status(thm)],[c_0_189]) ).

fof(c_0_324,plain,
    ! [X191,X192,X193] :
      ( ~ equalish(X193,X192)
      | equalish(compose(X191,X193),compose(X191,X192)) ),
    inference(variable_rename,[status(thm)],[c_0_190]) ).

fof(c_0_325,plain,
    ! [X188,X189,X190] :
      ( ~ equalish(X190,X189)
      | equalish(cross_product(X190,X188),cross_product(X189,X188)) ),
    inference(variable_rename,[status(thm)],[c_0_191]) ).

fof(c_0_326,plain,
    ! [X14,X15,X16] :
      ( ~ equalish(X16,X15)
      | equalish(cross_product(X14,X16),cross_product(X14,X15)) ),
    inference(variable_rename,[status(thm)],[c_0_192]) ).

fof(c_0_327,plain,
    ! [X186,X187,X188] :
      ( ~ equalish(X188,X187)
      | equalish(symmetric_difference(X188,X186),symmetric_difference(X187,X186)) ),
    inference(variable_rename,[status(thm)],[c_0_193]) ).

fof(c_0_328,plain,
    ! [X183,X184,X185] :
      ( ~ equalish(X185,X184)
      | equalish(symmetric_difference(X183,X185),symmetric_difference(X183,X184)) ),
    inference(variable_rename,[status(thm)],[c_0_194]) ).

fof(c_0_329,plain,
    ! [X162,X163,X164] :
      ( ~ equalish(X162,X164)
      | equalish(image(X162,X163),image(X164,X163)) ),
    inference(variable_rename,[status(thm)],[c_0_195]) ).

fof(c_0_330,plain,
    ! [X159,X160,X161] :
      ( ~ equalish(X161,X160)
      | equalish(image(X159,X161),image(X159,X160)) ),
    inference(variable_rename,[status(thm)],[c_0_196]) ).

fof(c_0_331,plain,
    ! [X156,X157,X158] :
      ( ~ equalish(X158,X157)
      | equalish(intersection(X158,X156),intersection(X157,X156)) ),
    inference(variable_rename,[status(thm)],[c_0_197]) ).

fof(c_0_332,plain,
    ! [X153,X154,X155] :
      ( ~ equalish(X155,X154)
      | equalish(intersection(X153,X155),intersection(X153,X154)) ),
    inference(variable_rename,[status(thm)],[c_0_198]) ).

fof(c_0_333,plain,
    ! [X124,X125,X126] :
      ( ~ equalish(X126,X125)
      | equalish(not_subclass_element(X126,X124),not_subclass_element(X125,X124)) ),
    inference(variable_rename,[status(thm)],[c_0_199]) ).

fof(c_0_334,plain,
    ! [X121,X122,X123] :
      ( ~ equalish(X123,X122)
      | equalish(not_subclass_element(X121,X123),not_subclass_element(X121,X122)) ),
    inference(variable_rename,[status(thm)],[c_0_200]) ).

fof(c_0_335,plain,
    ! [X118,X119,X120] :
      ( ~ equalish(X120,X119)
      | equalish(ordered_pair(X120,X118),ordered_pair(X119,X118)) ),
    inference(variable_rename,[status(thm)],[c_0_201]) ).

fof(c_0_336,plain,
    ! [X115,X116,X117] :
      ( ~ equalish(X117,X116)
      | equalish(ordered_pair(X115,X117),ordered_pair(X115,X116)) ),
    inference(variable_rename,[status(thm)],[c_0_202]) ).

fof(c_0_337,plain,
    ! [X72,X73,X74] :
      ( ~ equalish(X74,X73)
      | equalish(union(X74,X72),union(X73,X72)) ),
    inference(variable_rename,[status(thm)],[c_0_203]) ).

fof(c_0_338,plain,
    ! [X69,X70,X71] :
      ( ~ equalish(X71,X70)
      | equalish(union(X69,X71),union(X69,X70)) ),
    inference(variable_rename,[status(thm)],[c_0_204]) ).

fof(c_0_339,plain,
    ! [X66,X67,X68] :
      ( ~ equalish(X68,X67)
      | equalish(unordered_pair(X68,X66),unordered_pair(X67,X66)) ),
    inference(variable_rename,[status(thm)],[c_0_205]) ).

fof(c_0_340,plain,
    ! [X63,X64,X65] :
      ( ~ equalish(X65,X64)
      | equalish(unordered_pair(X63,X65),unordered_pair(X63,X64)) ),
    inference(variable_rename,[status(thm)],[c_0_206]) ).

fof(c_0_341,plain,
    ! [X4,X5,X6] :
      ( ~ member(X4,X6)
      | ~ member(X4,X5)
      | member(X4,intersection(X6,X5)) ),
    inference(variable_rename,[status(thm)],[c_0_207]) ).

fof(c_0_342,plain,
    ! [X4] :
      ( ~ subclass(compose(X4,inverse(X4)),identity_relation)
      | single_valued_class(X4) ),
    inference(variable_rename,[status(thm)],[c_0_208]) ).

fof(c_0_343,plain,
    ! [X4] :
      ( ~ member(null_class,X4)
      | ~ subclass(image(successor_relation,X4),X4)
      | inductive(X4) ),
    inference(variable_rename,[status(thm)],[c_0_209]) ).

fof(c_0_344,plain,
    ! [X4,X5] :
      ( ~ member(ordered_pair(X5,X4),successor_relation)
      | equalish(successor(X5),X4) ),
    inference(variable_rename,[status(thm)],[c_0_210]) ).

fof(c_0_345,plain,
    ! [X4,X5] :
      ( ~ member(not_subclass_element(X5,X4),X4)
      | subclass(X5,X4) ),
    inference(variable_rename,[status(thm)],[c_0_211]) ).

fof(c_0_346,plain,
    ! [X4,X5,X6] :
      ( ~ member(X4,intersection(X6,X5))
      | member(X4,X6) ),
    inference(variable_rename,[status(thm)],[c_0_212]) ).

fof(c_0_347,plain,
    ! [X4,X5,X6] :
      ( ~ member(X4,intersection(X6,X5))
      | member(X4,X5) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_213])])]) ).

fof(c_0_348,plain,
    ! [X4,X5] :
      ( ~ member(ordered_pair(X5,X4),element_relation)
      | member(X5,X4) ),
    inference(variable_rename,[status(thm)],[c_0_214]) ).

fof(c_0_349,plain,
    ! [X3] :
      ( ~ member(X3,universal_class)
      | equalish(X3,null_class)
      | member(apply(choice,X3),X3) ),
    inference(variable_rename,[status(thm)],[c_0_215]) ).

fof(c_0_350,plain,
    ! [X11,X12] :
      ( ~ function(X11)
      | ~ member(X12,universal_class)
      | member(image(X11,X12),universal_class) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_216])])]) ).

fof(c_0_351,plain,
    ! [X4] :
      ( equalish(X4,null_class)
      | equalish(intersection(X4,regular(X4)),null_class) ),
    inference(variable_rename,[status(thm)],[c_0_217]) ).

fof(c_0_352,plain,
    ! [X4,X5] :
      ( ~ member(X5,universal_class)
      | member(X5,unordered_pair(X5,X4)) ),
    inference(variable_rename,[status(thm)],[c_0_218]) ).

fof(c_0_353,plain,
    ! [X4,X5] :
      ( ~ member(X4,universal_class)
      | member(X4,unordered_pair(X5,X4)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_219])])]) ).

fof(c_0_354,plain,
    ! [X4,X5,X6] :
      ( ~ equalish(X6,X5)
      | ~ equalish(X5,X4)
      | equalish(X6,X4) ),
    inference(variable_rename,[status(thm)],[c_0_220]) ).

fof(c_0_355,plain,
    ! [X32,X33,X34] :
      ( ~ equalish(X32,X34)
      | ~ member(X32,X33)
      | member(X34,X33) ),
    inference(variable_rename,[status(thm)],[c_0_221]) ).

fof(c_0_356,plain,
    ! [X29,X30,X31] :
      ( ~ equalish(X31,X30)
      | ~ member(X29,X31)
      | member(X29,X30) ),
    inference(variable_rename,[status(thm)],[c_0_222]) ).

fof(c_0_357,plain,
    ! [X20,X21,X22] :
      ( ~ equalish(X22,X21)
      | ~ subclass(X22,X20)
      | subclass(X21,X20) ),
    inference(variable_rename,[status(thm)],[c_0_223]) ).

fof(c_0_358,plain,
    ! [X17,X18,X19] :
      ( ~ equalish(X19,X18)
      | ~ subclass(X17,X19)
      | subclass(X17,X18) ),
    inference(variable_rename,[status(thm)],[c_0_224]) ).

fof(c_0_359,plain,
    ! [X6,X7,X8] :
      ( ~ subclass(X7,X6)
      | ~ member(X8,X7)
      | member(X8,X6) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_225])])]) ).

fof(c_0_360,plain,
    ! [X4,X5] :
      ( ~ subclass(X5,X4)
      | ~ subclass(X4,X5)
      | equalish(X5,X4) ),
    inference(variable_rename,[status(thm)],[c_0_226]) ).

fof(c_0_361,plain,
    ! [X4,X5,X6] :
      ( ~ subclass(X6,X5)
      | ~ subclass(X5,X4)
      | subclass(X6,X4) ),
    inference(variable_rename,[status(thm)],[c_0_227]) ).

fof(c_0_362,plain,
    ! [X4] :
      ( ~ single_valued_class(X4)
      | subclass(compose(X4,inverse(X4)),identity_relation) ),
    inference(variable_rename,[status(thm)],[c_0_228]) ).

fof(c_0_363,plain,
    ! [X11] :
      ( ~ function(X11)
      | subclass(compose(X11,inverse(X11)),identity_relation) ),
    inference(variable_rename,[status(thm)],[c_0_229]) ).

fof(c_0_364,plain,
    ! [X4,X5] :
      ( ~ member(X4,universal_class)
      | member(X4,complement(X5))
      | member(X4,X5) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_230])])]) ).

fof(c_0_365,plain,
    ! [X4,X5] :
      ( ~ member(X4,complement(X5))
      | ~ member(X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_231]) ).

fof(c_0_366,plain,
    ! [X4,X5] :
      ( member(not_subclass_element(X5,X4),X5)
      | subclass(X5,X4) ),
    inference(variable_rename,[status(thm)],[c_0_232]) ).

fof(c_0_367,plain,
    ! [X198,X199] :
      ( ~ equalish(X199,X198)
      | equalish(cantor(X199),cantor(X198)) ),
    inference(variable_rename,[status(thm)],[c_0_233]) ).

fof(c_0_368,plain,
    ! [X196,X197] :
      ( ~ equalish(X197,X196)
      | equalish(complement(X197),complement(X196)) ),
    inference(variable_rename,[status(thm)],[c_0_234]) ).

fof(c_0_369,plain,
    ! [X187,X188] :
      ( ~ equalish(X187,X188)
      | equalish(diagonalise(X187),diagonalise(X188)) ),
    inference(variable_rename,[status(thm)],[c_0_235]) ).

fof(c_0_370,plain,
    ! [X168,X169] :
      ( ~ equalish(X169,X168)
      | equalish(domain_of(X169),domain_of(X168)) ),
    inference(variable_rename,[status(thm)],[c_0_236]) ).

fof(c_0_371,plain,
    ! [X166,X167] :
      ( ~ equalish(X167,X166)
      | equalish(first(X167),first(X166)) ),
    inference(variable_rename,[status(thm)],[c_0_237]) ).

fof(c_0_372,plain,
    ! [X164,X165] :
      ( ~ equalish(X165,X164)
      | equalish(flip(X165),flip(X164)) ),
    inference(variable_rename,[status(thm)],[c_0_238]) ).

fof(c_0_373,plain,
    ! [X150,X151] :
      ( ~ equalish(X151,X150)
      | equalish(inverse(X151),inverse(X150)) ),
    inference(variable_rename,[status(thm)],[c_0_239]) ).

fof(c_0_374,plain,
    ! [X112,X113] :
      ( ~ equalish(X113,X112)
      | equalish(power_class(X113),power_class(X112)) ),
    inference(variable_rename,[status(thm)],[c_0_240]) ).

fof(c_0_375,plain,
    ! [X98,X99] :
      ( ~ equalish(X99,X98)
      | equalish(range_of(X99),range_of(X98)) ),
    inference(variable_rename,[status(thm)],[c_0_241]) ).

fof(c_0_376,plain,
    ! [X96,X97] :
      ( ~ equalish(X97,X96)
      | equalish(regular(X97),regular(X96)) ),
    inference(variable_rename,[status(thm)],[c_0_242]) ).

fof(c_0_377,plain,
    ! [X82,X83] :
      ( ~ equalish(X83,X82)
      | equalish(rotate(X83),rotate(X82)) ),
    inference(variable_rename,[status(thm)],[c_0_243]) ).

fof(c_0_378,plain,
    ! [X80,X81] :
      ( ~ equalish(X81,X80)
      | equalish(second(X81),second(X80)) ),
    inference(variable_rename,[status(thm)],[c_0_244]) ).

fof(c_0_379,plain,
    ! [X78,X79] :
      ( ~ equalish(X79,X78)
      | equalish(singleton(X79),singleton(X78)) ),
    inference(variable_rename,[status(thm)],[c_0_245]) ).

fof(c_0_380,plain,
    ! [X76,X77] :
      ( ~ equalish(X77,X76)
      | equalish(successor(X77),successor(X76)) ),
    inference(variable_rename,[status(thm)],[c_0_246]) ).

fof(c_0_381,plain,
    ! [X74,X75] :
      ( ~ equalish(X75,X74)
      | equalish(sum_class(X75),sum_class(X74)) ),
    inference(variable_rename,[status(thm)],[c_0_247]) ).

fof(c_0_382,plain,
    ! [X11] :
      ( ~ operation(X11)
      | subclass(range_of(X11),domain_of(domain_of(X11))) ),
    inference(variable_rename,[status(thm)],[c_0_248]) ).

fof(c_0_383,plain,
    ! [X4] :
      ( ~ inductive(X4)
      | subclass(image(successor_relation,X4),X4) ),
    inference(variable_rename,[status(thm)],[c_0_249]) ).

fof(c_0_384,plain,
    ! [X11] :
      ( ~ function(X11)
      | subclass(X11,cross_product(universal_class,universal_class)) ),
    inference(variable_rename,[status(thm)],[c_0_250]) ).

fof(c_0_385,plain,
    ! [X4] :
      ( ~ member(X4,universal_class)
      | member(sum_class(X4),universal_class) ),
    inference(variable_rename,[status(thm)],[c_0_251]) ).

fof(c_0_386,plain,
    ! [X6] :
      ( ~ member(X6,universal_class)
      | member(power_class(X6),universal_class) ),
    inference(variable_rename,[status(thm)],[c_0_252]) ).

fof(c_0_387,plain,
    ! [X4,X5] :
      ( ~ equalish(X5,X4)
      | equalish(X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_253]) ).

fof(c_0_388,plain,
    ! [X4,X5] :
      ( ~ equalish(X5,X4)
      | subclass(X5,X4) ),
    inference(variable_rename,[status(thm)],[c_0_254]) ).

fof(c_0_389,plain,
    ! [X4,X5] :
      ( ~ equalish(X5,X4)
      | subclass(X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_255]) ).

fof(c_0_390,plain,
    ! [X48,X49] :
      ( ~ equalish(X49,X48)
      | ~ function(X49)
      | function(X48) ),
    inference(variable_rename,[status(thm)],[c_0_256]) ).

fof(c_0_391,plain,
    ! [X34,X35] :
      ( ~ equalish(X35,X34)
      | ~ inductive(X35)
      | inductive(X34) ),
    inference(variable_rename,[status(thm)],[c_0_257]) ).

fof(c_0_392,plain,
    ! [X26,X27] :
      ( ~ equalish(X27,X26)
      | ~ one_to_one(X27)
      | one_to_one(X26) ),
    inference(variable_rename,[status(thm)],[c_0_258]) ).

fof(c_0_393,plain,
    ! [X24,X25] :
      ( ~ equalish(X25,X24)
      | ~ operation(X25)
      | operation(X24) ),
    inference(variable_rename,[status(thm)],[c_0_259]) ).

fof(c_0_394,plain,
    ! [X22,X23] :
      ( ~ equalish(X23,X22)
      | ~ single_valued_class(X23)
      | single_valued_class(X22) ),
    inference(variable_rename,[status(thm)],[c_0_260]) ).

fof(c_0_395,plain,
    ! [X4] :
      ( equalish(X4,null_class)
      | member(regular(X4),X4) ),
    inference(variable_rename,[status(thm)],[c_0_261]) ).

fof(c_0_396,plain,
    ! [X11] :
      ( ~ function(inverse(X11))
      | ~ function(X11)
      | one_to_one(X11) ),
    inference(variable_rename,[status(thm)],[c_0_262]) ).

fof(c_0_397,plain,
    ! [X4] :
      ( ~ inductive(X4)
      | member(null_class,X4) ),
    inference(variable_rename,[status(thm)],[c_0_263]) ).

fof(c_0_398,plain,
    ! [X3] :
      ( ~ inductive(X3)
      | subclass(omega,X3) ),
    inference(variable_rename,[status(thm)],[c_0_264]) ).

fof(c_0_399,plain,
    ! [X11] :
      ( ~ one_to_one(X11)
      | function(inverse(X11)) ),
    inference(variable_rename,[status(thm)],[c_0_265]) ).

fof(c_0_400,plain,
    ! [X11] :
      ( ~ one_to_one(X11)
      | function(X11) ),
    inference(variable_rename,[status(thm)],[c_0_266]) ).

fof(c_0_401,plain,
    ! [X11] :
      ( ~ operation(X11)
      | function(X11) ),
    inference(variable_rename,[status(thm)],[c_0_267]) ).

cnf(c_0_402,plain,
    ( homomorphism(X1,X2,X3)
    | ~ equalish(apply(X3,ordered_pair(apply(X1,not_homomorphism1(X1,X2,X3)),apply(X1,not_homomorphism2(X1,X2,X3)))),apply(X1,apply(X2,ordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism2(X1,X2,X3)))))
    | ~ compatible(X1,X2,X3)
    | ~ operation(X3)
    | ~ operation(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_268]) ).

cnf(c_0_403,plain,
    ( equalish(apply(X1,ordered_pair(apply(X2,X3),apply(X2,X4))),apply(X2,apply(X5,ordered_pair(X3,X4))))
    | ~ member(ordered_pair(X3,X4),domain_of(X5))
    | ~ homomorphism(X2,X5,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_269]) ).

cnf(c_0_404,plain,
    ( homomorphism(X1,X2,X3)
    | member(ordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism2(X1,X2,X3)),domain_of(X2))
    | ~ compatible(X1,X2,X3)
    | ~ operation(X3)
    | ~ operation(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_270]) ).

cnf(c_0_405,plain,
    ( member(ordered_pair(ordered_pair(X1,X2),X3),rotate(X4))
    | ~ member(ordered_pair(ordered_pair(X1,X2),X3),cross_product(cross_product(universal_class,universal_class),universal_class))
    | ~ member(ordered_pair(ordered_pair(X2,X3),X1),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_271]) ).

cnf(c_0_406,plain,
    ( member(ordered_pair(ordered_pair(X1,X2),X3),flip(X4))
    | ~ member(ordered_pair(ordered_pair(X1,X2),X3),cross_product(cross_product(universal_class,universal_class),universal_class))
    | ~ member(ordered_pair(ordered_pair(X2,X1),X3),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_272]) ).

cnf(c_0_407,plain,
    ( member(ordered_pair(X1,X2),compose(X3,X4))
    | ~ member(ordered_pair(X1,X2),cross_product(universal_class,universal_class))
    | ~ member(X2,image(X3,image(X4,singleton(X1)))) ),
    inference(split_conjunct,[status(thm)],[c_0_273]) ).

cnf(c_0_408,plain,
    ( operation(X1)
    | ~ subclass(range_of(X1),domain_of(domain_of(X1)))
    | ~ equalish(cross_product(domain_of(domain_of(X1)),domain_of(domain_of(X1))),domain_of(X1))
    | ~ function(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_274]) ).

cnf(c_0_409,plain,
    ( equalish(domain(X1,X2,X3),domain(X4,X2,X3))
    | ~ equalish(X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_275]) ).

cnf(c_0_410,plain,
    ( equalish(domain(X1,X2,X3),domain(X1,X4,X3))
    | ~ equalish(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_276]) ).

cnf(c_0_411,plain,
    ( equalish(domain(X1,X2,X3),domain(X1,X2,X4))
    | ~ equalish(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_277]) ).

cnf(c_0_412,plain,
    ( equalish(not_homomorphism1(X1,X2,X3),not_homomorphism1(X4,X2,X3))
    | ~ equalish(X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_278]) ).

cnf(c_0_413,plain,
    ( equalish(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X4,X3))
    | ~ equalish(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_279]) ).

cnf(c_0_414,plain,
    ( equalish(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X4))
    | ~ equalish(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_280]) ).

cnf(c_0_415,plain,
    ( equalish(not_homomorphism2(X1,X2,X3),not_homomorphism2(X4,X2,X3))
    | ~ equalish(X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_281]) ).

cnf(c_0_416,plain,
    ( equalish(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X4,X3))
    | ~ equalish(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_282]) ).

cnf(c_0_417,plain,
    ( equalish(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X4))
    | ~ equalish(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_283]) ).

cnf(c_0_418,plain,
    ( equalish(range(X1,X2,X3),range(X4,X2,X3))
    | ~ equalish(X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_284]) ).

cnf(c_0_419,plain,
    ( equalish(range(X1,X2,X3),range(X1,X4,X3))
    | ~ equalish(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_285]) ).

cnf(c_0_420,plain,
    ( equalish(range(X1,X2,X3),range(X1,X2,X4))
    | ~ equalish(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_286]) ).

cnf(c_0_421,plain,
    ( equalish(restrict(X1,X2,X3),restrict(X4,X2,X3))
    | ~ equalish(X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_287]) ).

cnf(c_0_422,plain,
    ( equalish(restrict(X1,X2,X3),restrict(X1,X4,X3))
    | ~ equalish(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_288]) ).

cnf(c_0_423,plain,
    ( equalish(restrict(X1,X2,X3),restrict(X1,X2,X4))
    | ~ equalish(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_289]) ).

cnf(c_0_424,plain,
    ( member(ordered_pair(ordered_pair(X1,X2),X3),X4)
    | ~ member(ordered_pair(ordered_pair(X3,X1),X2),rotate(X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_290]) ).

cnf(c_0_425,plain,
    ( member(ordered_pair(ordered_pair(X1,X2),X3),X4)
    | ~ member(ordered_pair(ordered_pair(X2,X1),X3),flip(X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_291]) ).

cnf(c_0_426,plain,
    ( ~ member(X1,domain_of(X2))
    | ~ equalish(restrict(X2,singleton(X1),universal_class),null_class) ),
    inference(split_conjunct,[status(thm)],[c_0_292]) ).

cnf(c_0_427,plain,
    ( member(X1,image(X2,image(X3,singleton(X4))))
    | ~ member(ordered_pair(X4,X1),compose(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_293]) ).

cnf(c_0_428,plain,
    ( compatible(X1,X2,X3)
    | ~ subclass(range_of(X4),domain_of(domain_of(X3)))
    | ~ equalish(domain_of(domain_of(X2)),domain_of(X4))
    | ~ function(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_294]) ).

cnf(c_0_429,plain,
    ( member(X1,domain_of(X2))
    | equalish(restrict(X2,singleton(X1),universal_class),null_class)
    | ~ member(X1,universal_class) ),
    inference(split_conjunct,[status(thm)],[c_0_295]) ).

cnf(c_0_430,plain,
    ( member(ordered_pair(X1,X2),successor_relation)
    | ~ member(ordered_pair(X1,X2),cross_product(universal_class,universal_class))
    | ~ equalish(successor(X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_296]) ).

cnf(c_0_431,plain,
    ( compatible(X1,X2,X3)
    | ~ compatible(X4,X2,X3)
    | ~ equalish(X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_297]) ).

cnf(c_0_432,plain,
    ( compatible(X1,X2,X3)
    | ~ compatible(X1,X4,X3)
    | ~ equalish(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_298]) ).

cnf(c_0_433,plain,
    ( compatible(X1,X2,X3)
    | ~ compatible(X1,X2,X4)
    | ~ equalish(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_299]) ).

cnf(c_0_434,plain,
    ( homomorphism(X1,X2,X3)
    | ~ homomorphism(X4,X2,X3)
    | ~ equalish(X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_300]) ).

cnf(c_0_435,plain,
    ( homomorphism(X1,X2,X3)
    | ~ homomorphism(X1,X4,X3)
    | ~ equalish(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_301]) ).

cnf(c_0_436,plain,
    ( homomorphism(X1,X2,X3)
    | ~ homomorphism(X1,X2,X4)
    | ~ equalish(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_302]) ).

cnf(c_0_437,plain,
    ( member(ordered_pair(X1,X2),element_relation)
    | ~ member(X1,X2)
    | ~ member(ordered_pair(X1,X2),cross_product(universal_class,universal_class)) ),
    inference(split_conjunct,[status(thm)],[c_0_303]) ).

cnf(c_0_438,plain,
    ( member(X1,unordered_pair(X1,X2))
    | ~ member(ordered_pair(X1,X2),cross_product(X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_304]) ).

cnf(c_0_439,plain,
    ( member(X1,unordered_pair(X2,X1))
    | ~ member(ordered_pair(X2,X1),cross_product(X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_305]) ).

cnf(c_0_440,plain,
    ( compatible(X1,X2,X3)
    | ~ homomorphism(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_306]) ).

cnf(c_0_441,plain,
    ( function(X1)
    | ~ subclass(compose(X1,inverse(X1)),identity_relation)
    | ~ subclass(X1,cross_product(universal_class,universal_class)) ),
    inference(split_conjunct,[status(thm)],[c_0_307]) ).

cnf(c_0_442,plain,
    ( equalish(ordered_pair(first(X1),second(X1)),X1)
    | ~ member(X1,cross_product(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_308]) ).

cnf(c_0_443,plain,
    ( equalish(cross_product(domain_of(domain_of(X1)),domain_of(domain_of(X1))),domain_of(X1))
    | ~ operation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_309]) ).

cnf(c_0_444,plain,
    ( equalish(domain_of(domain_of(X1)),domain_of(X2))
    | ~ compatible(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_310]) ).

cnf(c_0_445,plain,
    ( subclass(range_of(X1),domain_of(domain_of(X2)))
    | ~ compatible(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_311]) ).

cnf(c_0_446,plain,
    ( member(X1,X2)
    | ~ member(ordered_pair(X1,X3),cross_product(X2,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_312]) ).

cnf(c_0_447,plain,
    ( member(X1,X2)
    | ~ member(ordered_pair(X3,X1),cross_product(X4,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_313]) ).

cnf(c_0_448,plain,
    ( member(X1,universal_class)
    | ~ member(ordered_pair(X1,X2),cross_product(X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_314]) ).

cnf(c_0_449,plain,
    ( member(X1,universal_class)
    | ~ member(ordered_pair(X2,X1),cross_product(X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_315]) ).

cnf(c_0_450,plain,
    ( member(ordered_pair(X1,X2),cross_product(X3,X4))
    | ~ member(X2,X4)
    | ~ member(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_316]) ).

cnf(c_0_451,plain,
    ( equalish(X1,X2)
    | equalish(X1,X3)
    | ~ member(X1,unordered_pair(X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_317]) ).

cnf(c_0_452,plain,
    ( function(X1)
    | ~ compatible(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_318]) ).

cnf(c_0_453,plain,
    ( operation(X1)
    | ~ homomorphism(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_319]) ).

cnf(c_0_454,plain,
    ( operation(X1)
    | ~ homomorphism(X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_320]) ).

cnf(c_0_455,plain,
    ( equalish(apply(X1,X2),apply(X3,X2))
    | ~ equalish(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_321]) ).

cnf(c_0_456,plain,
    ( equalish(apply(X1,X2),apply(X1,X3))
    | ~ equalish(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_322]) ).

cnf(c_0_457,plain,
    ( equalish(compose(X1,X2),compose(X3,X2))
    | ~ equalish(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_323]) ).

cnf(c_0_458,plain,
    ( equalish(compose(X1,X2),compose(X1,X3))
    | ~ equalish(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_324]) ).

cnf(c_0_459,plain,
    ( equalish(cross_product(X1,X2),cross_product(X3,X2))
    | ~ equalish(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_325]) ).

cnf(c_0_460,plain,
    ( equalish(cross_product(X1,X2),cross_product(X1,X3))
    | ~ equalish(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_326]) ).

cnf(c_0_461,plain,
    ( equalish(symmetric_difference(X1,X2),symmetric_difference(X3,X2))
    | ~ equalish(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_327]) ).

cnf(c_0_462,plain,
    ( equalish(symmetric_difference(X1,X2),symmetric_difference(X1,X3))
    | ~ equalish(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_328]) ).

cnf(c_0_463,plain,
    ( equalish(image(X1,X2),image(X3,X2))
    | ~ equalish(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_329]) ).

cnf(c_0_464,plain,
    ( equalish(image(X1,X2),image(X1,X3))
    | ~ equalish(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_330]) ).

cnf(c_0_465,plain,
    ( equalish(intersection(X1,X2),intersection(X3,X2))
    | ~ equalish(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_331]) ).

cnf(c_0_466,plain,
    ( equalish(intersection(X1,X2),intersection(X1,X3))
    | ~ equalish(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_332]) ).

cnf(c_0_467,plain,
    ( equalish(not_subclass_element(X1,X2),not_subclass_element(X3,X2))
    | ~ equalish(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_333]) ).

cnf(c_0_468,plain,
    ( equalish(not_subclass_element(X1,X2),not_subclass_element(X1,X3))
    | ~ equalish(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_334]) ).

cnf(c_0_469,plain,
    ( equalish(ordered_pair(X1,X2),ordered_pair(X3,X2))
    | ~ equalish(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_335]) ).

cnf(c_0_470,plain,
    ( equalish(ordered_pair(X1,X2),ordered_pair(X1,X3))
    | ~ equalish(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_336]) ).

cnf(c_0_471,plain,
    ( equalish(union(X1,X2),union(X3,X2))
    | ~ equalish(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_337]) ).

cnf(c_0_472,plain,
    ( equalish(union(X1,X2),union(X1,X3))
    | ~ equalish(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_338]) ).

cnf(c_0_473,plain,
    ( equalish(unordered_pair(X1,X2),unordered_pair(X3,X2))
    | ~ equalish(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_339]) ).

cnf(c_0_474,plain,
    ( equalish(unordered_pair(X1,X2),unordered_pair(X1,X3))
    | ~ equalish(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_340]) ).

cnf(c_0_475,plain,
    ( member(X1,intersection(X2,X3))
    | ~ member(X1,X3)
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_341]) ).

cnf(c_0_476,plain,
    ( single_valued_class(X1)
    | ~ subclass(compose(X1,inverse(X1)),identity_relation) ),
    inference(split_conjunct,[status(thm)],[c_0_342]) ).

cnf(c_0_477,plain,
    ( inductive(X1)
    | ~ subclass(image(successor_relation,X1),X1)
    | ~ member(null_class,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_343]) ).

cnf(c_0_478,plain,
    ( equalish(successor(X1),X2)
    | ~ member(ordered_pair(X1,X2),successor_relation) ),
    inference(split_conjunct,[status(thm)],[c_0_344]) ).

cnf(c_0_479,plain,
    ( subclass(X1,X2)
    | ~ member(not_subclass_element(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_345]) ).

cnf(c_0_480,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_346]) ).

cnf(c_0_481,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_347]) ).

cnf(c_0_482,plain,
    ( member(X1,X2)
    | ~ member(ordered_pair(X1,X2),element_relation) ),
    inference(split_conjunct,[status(thm)],[c_0_348]) ).

cnf(c_0_483,plain,
    ( member(apply(choice,X1),X1)
    | equalish(X1,null_class)
    | ~ member(X1,universal_class) ),
    inference(split_conjunct,[status(thm)],[c_0_349]) ).

cnf(c_0_484,plain,
    ( member(image(X1,X2),universal_class)
    | ~ member(X2,universal_class)
    | ~ function(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_350]) ).

cnf(c_0_485,plain,
    ( equalish(intersection(X1,regular(X1)),null_class)
    | equalish(X1,null_class) ),
    inference(split_conjunct,[status(thm)],[c_0_351]) ).

cnf(c_0_486,plain,
    ( member(X1,unordered_pair(X1,X2))
    | ~ member(X1,universal_class) ),
    inference(split_conjunct,[status(thm)],[c_0_352]) ).

cnf(c_0_487,plain,
    ( member(X1,unordered_pair(X2,X1))
    | ~ member(X1,universal_class) ),
    inference(split_conjunct,[status(thm)],[c_0_353]) ).

cnf(c_0_488,plain,
    ( equalish(X1,X2)
    | ~ equalish(X3,X2)
    | ~ equalish(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_354]) ).

cnf(c_0_489,plain,
    ( member(X1,X2)
    | ~ member(X3,X2)
    | ~ equalish(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_355]) ).

cnf(c_0_490,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ equalish(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_356]) ).

cnf(c_0_491,plain,
    ( subclass(X1,X2)
    | ~ subclass(X3,X2)
    | ~ equalish(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_357]) ).

cnf(c_0_492,plain,
    ( subclass(X1,X2)
    | ~ subclass(X1,X3)
    | ~ equalish(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_358]) ).

cnf(c_0_493,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subclass(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_359]) ).

cnf(c_0_494,plain,
    ( equalish(X1,X2)
    | ~ subclass(X2,X1)
    | ~ subclass(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_360]) ).

cnf(c_0_495,plain,
    ( subclass(X1,X2)
    | ~ subclass(X3,X2)
    | ~ subclass(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_361]) ).

cnf(c_0_496,plain,
    ( subclass(compose(X1,inverse(X1)),identity_relation)
    | ~ single_valued_class(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_362]) ).

cnf(c_0_497,plain,
    ( subclass(compose(X1,inverse(X1)),identity_relation)
    | ~ function(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_363]) ).

cnf(c_0_498,plain,
    ( member(X1,X2)
    | member(X1,complement(X2))
    | ~ member(X1,universal_class) ),
    inference(split_conjunct,[status(thm)],[c_0_364]) ).

cnf(c_0_499,plain,
    ( ~ member(X1,X2)
    | ~ member(X1,complement(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_365]) ).

cnf(c_0_500,plain,
    ( subclass(X1,X2)
    | member(not_subclass_element(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_366]) ).

cnf(c_0_501,plain,
    ( equalish(cantor(X1),cantor(X2))
    | ~ equalish(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_367]) ).

cnf(c_0_502,plain,
    ( equalish(complement(X1),complement(X2))
    | ~ equalish(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_368]) ).

cnf(c_0_503,plain,
    ( equalish(diagonalise(X1),diagonalise(X2))
    | ~ equalish(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_369]) ).

cnf(c_0_504,plain,
    ( equalish(domain_of(X1),domain_of(X2))
    | ~ equalish(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_370]) ).

cnf(c_0_505,plain,
    ( equalish(first(X1),first(X2))
    | ~ equalish(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_371]) ).

cnf(c_0_506,plain,
    ( equalish(flip(X1),flip(X2))
    | ~ equalish(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_372]) ).

cnf(c_0_507,plain,
    ( equalish(inverse(X1),inverse(X2))
    | ~ equalish(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_373]) ).

cnf(c_0_508,plain,
    ( equalish(power_class(X1),power_class(X2))
    | ~ equalish(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_374]) ).

cnf(c_0_509,plain,
    ( equalish(range_of(X1),range_of(X2))
    | ~ equalish(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_375]) ).

cnf(c_0_510,plain,
    ( equalish(regular(X1),regular(X2))
    | ~ equalish(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_376]) ).

cnf(c_0_511,plain,
    ( equalish(rotate(X1),rotate(X2))
    | ~ equalish(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_377]) ).

cnf(c_0_512,plain,
    ( equalish(second(X1),second(X2))
    | ~ equalish(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_378]) ).

cnf(c_0_513,plain,
    ( equalish(singleton(X1),singleton(X2))
    | ~ equalish(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_379]) ).

cnf(c_0_514,plain,
    ( equalish(successor(X1),successor(X2))
    | ~ equalish(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_380]) ).

cnf(c_0_515,plain,
    ( equalish(sum_class(X1),sum_class(X2))
    | ~ equalish(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_381]) ).

cnf(c_0_516,plain,
    ( subclass(range_of(X1),domain_of(domain_of(X1)))
    | ~ operation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_382]) ).

cnf(c_0_517,plain,
    ( subclass(image(successor_relation,X1),X1)
    | ~ inductive(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_383]) ).

cnf(c_0_518,plain,
    ( subclass(X1,cross_product(universal_class,universal_class))
    | ~ function(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_384]) ).

cnf(c_0_519,plain,
    ( member(sum_class(X1),universal_class)
    | ~ member(X1,universal_class) ),
    inference(split_conjunct,[status(thm)],[c_0_385]) ).

cnf(c_0_520,plain,
    ( member(power_class(X1),universal_class)
    | ~ member(X1,universal_class) ),
    inference(split_conjunct,[status(thm)],[c_0_386]) ).

cnf(c_0_521,plain,
    ( equalish(X1,X2)
    | ~ equalish(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_387]) ).

cnf(c_0_522,plain,
    ( subclass(X1,X2)
    | ~ equalish(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_388]) ).

cnf(c_0_523,plain,
    ( subclass(X1,X2)
    | ~ equalish(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_389]) ).

cnf(c_0_524,plain,
    ( function(X1)
    | ~ function(X2)
    | ~ equalish(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_390]) ).

cnf(c_0_525,plain,
    ( inductive(X1)
    | ~ inductive(X2)
    | ~ equalish(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_391]) ).

cnf(c_0_526,plain,
    ( one_to_one(X1)
    | ~ one_to_one(X2)
    | ~ equalish(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_392]) ).

cnf(c_0_527,plain,
    ( operation(X1)
    | ~ operation(X2)
    | ~ equalish(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_393]) ).

cnf(c_0_528,plain,
    ( single_valued_class(X1)
    | ~ single_valued_class(X2)
    | ~ equalish(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_394]) ).

cnf(c_0_529,plain,
    ( member(regular(X1),X1)
    | equalish(X1,null_class) ),
    inference(split_conjunct,[status(thm)],[c_0_395]) ).

cnf(c_0_530,plain,
    ( one_to_one(X1)
    | ~ function(X1)
    | ~ function(inverse(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_396]) ).

cnf(c_0_531,plain,
    ( member(null_class,X1)
    | ~ inductive(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_397]) ).

cnf(c_0_532,plain,
    ( subclass(omega,X1)
    | ~ inductive(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_398]) ).

cnf(c_0_533,plain,
    ( function(inverse(X1))
    | ~ one_to_one(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_399]) ).

cnf(c_0_534,plain,
    ( function(X1)
    | ~ one_to_one(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_400]) ).

cnf(c_0_535,plain,
    ( function(X1)
    | ~ operation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_401]) ).

cnf(c_0_536,plain,
    ( homomorphism(X1,X2,X3)
    | ~ equalish(apply(X3,ordered_pair(apply(X1,not_homomorphism1(X1,X2,X3)),apply(X1,not_homomorphism2(X1,X2,X3)))),apply(X1,apply(X2,ordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism2(X1,X2,X3)))))
    | ~ compatible(X1,X2,X3)
    | ~ operation(X3)
    | ~ operation(X2) ),
    c_0_402,
    [final] ).

cnf(c_0_537,plain,
    ( equalish(apply(X1,ordered_pair(apply(X2,X3),apply(X2,X4))),apply(X2,apply(X5,ordered_pair(X3,X4))))
    | ~ member(ordered_pair(X3,X4),domain_of(X5))
    | ~ homomorphism(X2,X5,X1) ),
    c_0_403,
    [final] ).

cnf(c_0_538,plain,
    ( homomorphism(X1,X2,X3)
    | member(ordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism2(X1,X2,X3)),domain_of(X2))
    | ~ compatible(X1,X2,X3)
    | ~ operation(X3)
    | ~ operation(X2) ),
    c_0_404,
    [final] ).

cnf(c_0_539,plain,
    ( member(ordered_pair(ordered_pair(X1,X2),X3),rotate(X4))
    | ~ member(ordered_pair(ordered_pair(X1,X2),X3),cross_product(cross_product(universal_class,universal_class),universal_class))
    | ~ member(ordered_pair(ordered_pair(X2,X3),X1),X4) ),
    c_0_405,
    [final] ).

cnf(c_0_540,plain,
    ( member(ordered_pair(ordered_pair(X1,X2),X3),flip(X4))
    | ~ member(ordered_pair(ordered_pair(X1,X2),X3),cross_product(cross_product(universal_class,universal_class),universal_class))
    | ~ member(ordered_pair(ordered_pair(X2,X1),X3),X4) ),
    c_0_406,
    [final] ).

cnf(c_0_541,plain,
    ( member(ordered_pair(X1,X2),compose(X3,X4))
    | ~ member(ordered_pair(X1,X2),cross_product(universal_class,universal_class))
    | ~ member(X2,image(X3,image(X4,singleton(X1)))) ),
    c_0_407,
    [final] ).

cnf(c_0_542,plain,
    ( operation(X1)
    | ~ subclass(range_of(X1),domain_of(domain_of(X1)))
    | ~ equalish(cross_product(domain_of(domain_of(X1)),domain_of(domain_of(X1))),domain_of(X1))
    | ~ function(X1) ),
    c_0_408,
    [final] ).

cnf(c_0_543,plain,
    ( equalish(domain(X1,X2,X3),domain(X4,X2,X3))
    | ~ equalish(X1,X4) ),
    c_0_409,
    [final] ).

cnf(c_0_544,plain,
    ( equalish(domain(X1,X2,X3),domain(X1,X4,X3))
    | ~ equalish(X2,X4) ),
    c_0_410,
    [final] ).

cnf(c_0_545,plain,
    ( equalish(domain(X1,X2,X3),domain(X1,X2,X4))
    | ~ equalish(X3,X4) ),
    c_0_411,
    [final] ).

cnf(c_0_546,plain,
    ( equalish(not_homomorphism1(X1,X2,X3),not_homomorphism1(X4,X2,X3))
    | ~ equalish(X1,X4) ),
    c_0_412,
    [final] ).

cnf(c_0_547,plain,
    ( equalish(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X4,X3))
    | ~ equalish(X2,X4) ),
    c_0_413,
    [final] ).

cnf(c_0_548,plain,
    ( equalish(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X4))
    | ~ equalish(X3,X4) ),
    c_0_414,
    [final] ).

cnf(c_0_549,plain,
    ( equalish(not_homomorphism2(X1,X2,X3),not_homomorphism2(X4,X2,X3))
    | ~ equalish(X1,X4) ),
    c_0_415,
    [final] ).

cnf(c_0_550,plain,
    ( equalish(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X4,X3))
    | ~ equalish(X2,X4) ),
    c_0_416,
    [final] ).

cnf(c_0_551,plain,
    ( equalish(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X4))
    | ~ equalish(X3,X4) ),
    c_0_417,
    [final] ).

cnf(c_0_552,plain,
    ( equalish(range(X1,X2,X3),range(X4,X2,X3))
    | ~ equalish(X1,X4) ),
    c_0_418,
    [final] ).

cnf(c_0_553,plain,
    ( equalish(range(X1,X2,X3),range(X1,X4,X3))
    | ~ equalish(X2,X4) ),
    c_0_419,
    [final] ).

cnf(c_0_554,plain,
    ( equalish(range(X1,X2,X3),range(X1,X2,X4))
    | ~ equalish(X3,X4) ),
    c_0_420,
    [final] ).

cnf(c_0_555,plain,
    ( equalish(restrict(X1,X2,X3),restrict(X4,X2,X3))
    | ~ equalish(X1,X4) ),
    c_0_421,
    [final] ).

cnf(c_0_556,plain,
    ( equalish(restrict(X1,X2,X3),restrict(X1,X4,X3))
    | ~ equalish(X2,X4) ),
    c_0_422,
    [final] ).

cnf(c_0_557,plain,
    ( equalish(restrict(X1,X2,X3),restrict(X1,X2,X4))
    | ~ equalish(X3,X4) ),
    c_0_423,
    [final] ).

cnf(c_0_558,plain,
    ( member(ordered_pair(ordered_pair(X1,X2),X3),X4)
    | ~ member(ordered_pair(ordered_pair(X3,X1),X2),rotate(X4)) ),
    c_0_424,
    [final] ).

cnf(c_0_559,plain,
    ( member(ordered_pair(ordered_pair(X1,X2),X3),X4)
    | ~ member(ordered_pair(ordered_pair(X2,X1),X3),flip(X4)) ),
    c_0_425,
    [final] ).

cnf(c_0_560,plain,
    ( ~ member(X1,domain_of(X2))
    | ~ equalish(restrict(X2,singleton(X1),universal_class),null_class) ),
    c_0_426,
    [final] ).

cnf(c_0_561,plain,
    ( member(X1,image(X2,image(X3,singleton(X4))))
    | ~ member(ordered_pair(X4,X1),compose(X2,X3)) ),
    c_0_427,
    [final] ).

cnf(c_0_562,plain,
    ( compatible(X1,X2,X3)
    | ~ subclass(range_of(X4),domain_of(domain_of(X3)))
    | ~ equalish(domain_of(domain_of(X2)),domain_of(X4))
    | ~ function(X4) ),
    c_0_428,
    [final] ).

cnf(c_0_563,plain,
    ( member(X1,domain_of(X2))
    | equalish(restrict(X2,singleton(X1),universal_class),null_class)
    | ~ member(X1,universal_class) ),
    c_0_429,
    [final] ).

cnf(c_0_564,plain,
    ( member(ordered_pair(X1,X2),successor_relation)
    | ~ member(ordered_pair(X1,X2),cross_product(universal_class,universal_class))
    | ~ equalish(successor(X1),X2) ),
    c_0_430,
    [final] ).

cnf(c_0_565,plain,
    ( compatible(X1,X2,X3)
    | ~ compatible(X4,X2,X3)
    | ~ equalish(X4,X1) ),
    c_0_431,
    [final] ).

cnf(c_0_566,plain,
    ( compatible(X1,X2,X3)
    | ~ compatible(X1,X4,X3)
    | ~ equalish(X4,X2) ),
    c_0_432,
    [final] ).

cnf(c_0_567,plain,
    ( compatible(X1,X2,X3)
    | ~ compatible(X1,X2,X4)
    | ~ equalish(X4,X3) ),
    c_0_433,
    [final] ).

cnf(c_0_568,plain,
    ( homomorphism(X1,X2,X3)
    | ~ homomorphism(X4,X2,X3)
    | ~ equalish(X4,X1) ),
    c_0_434,
    [final] ).

cnf(c_0_569,plain,
    ( homomorphism(X1,X2,X3)
    | ~ homomorphism(X1,X4,X3)
    | ~ equalish(X4,X2) ),
    c_0_435,
    [final] ).

cnf(c_0_570,plain,
    ( homomorphism(X1,X2,X3)
    | ~ homomorphism(X1,X2,X4)
    | ~ equalish(X4,X3) ),
    c_0_436,
    [final] ).

cnf(c_0_571,plain,
    ( member(ordered_pair(X1,X2),element_relation)
    | ~ member(X1,X2)
    | ~ member(ordered_pair(X1,X2),cross_product(universal_class,universal_class)) ),
    c_0_437,
    [final] ).

cnf(c_0_572,plain,
    ( member(X1,unordered_pair(X1,X2))
    | ~ member(ordered_pair(X1,X2),cross_product(X3,X4)) ),
    c_0_438,
    [final] ).

cnf(c_0_573,plain,
    ( member(X1,unordered_pair(X2,X1))
    | ~ member(ordered_pair(X2,X1),cross_product(X3,X4)) ),
    c_0_439,
    [final] ).

cnf(c_0_574,plain,
    ( compatible(X1,X2,X3)
    | ~ homomorphism(X1,X2,X3) ),
    c_0_440,
    [final] ).

cnf(c_0_575,plain,
    ( function(X1)
    | ~ subclass(compose(X1,inverse(X1)),identity_relation)
    | ~ subclass(X1,cross_product(universal_class,universal_class)) ),
    c_0_441,
    [final] ).

cnf(c_0_576,plain,
    ( equalish(ordered_pair(first(X1),second(X1)),X1)
    | ~ member(X1,cross_product(X2,X3)) ),
    c_0_442,
    [final] ).

cnf(c_0_577,plain,
    ( equalish(cross_product(domain_of(domain_of(X1)),domain_of(domain_of(X1))),domain_of(X1))
    | ~ operation(X1) ),
    c_0_443,
    [final] ).

cnf(c_0_578,plain,
    ( equalish(domain_of(domain_of(X1)),domain_of(X2))
    | ~ compatible(X2,X1,X3) ),
    c_0_444,
    [final] ).

cnf(c_0_579,plain,
    ( subclass(range_of(X1),domain_of(domain_of(X2)))
    | ~ compatible(X1,X3,X2) ),
    c_0_445,
    [final] ).

cnf(c_0_580,plain,
    ( member(X1,X2)
    | ~ member(ordered_pair(X1,X3),cross_product(X2,X4)) ),
    c_0_446,
    [final] ).

cnf(c_0_581,plain,
    ( member(X1,X2)
    | ~ member(ordered_pair(X3,X1),cross_product(X4,X2)) ),
    c_0_447,
    [final] ).

cnf(c_0_582,plain,
    ( member(X1,universal_class)
    | ~ member(ordered_pair(X1,X2),cross_product(X3,X4)) ),
    c_0_448,
    [final] ).

cnf(c_0_583,plain,
    ( member(X1,universal_class)
    | ~ member(ordered_pair(X2,X1),cross_product(X3,X4)) ),
    c_0_449,
    [final] ).

cnf(c_0_584,plain,
    ( member(ordered_pair(X1,X2),cross_product(X3,X4))
    | ~ member(X2,X4)
    | ~ member(X1,X3) ),
    c_0_450,
    [final] ).

cnf(c_0_585,plain,
    ( equalish(X1,X2)
    | equalish(X1,X3)
    | ~ member(X1,unordered_pair(X3,X2)) ),
    c_0_451,
    [final] ).

cnf(c_0_586,plain,
    ( function(X1)
    | ~ compatible(X1,X2,X3) ),
    c_0_452,
    [final] ).

cnf(c_0_587,plain,
    ( operation(X1)
    | ~ homomorphism(X2,X1,X3) ),
    c_0_453,
    [final] ).

cnf(c_0_588,plain,
    ( operation(X1)
    | ~ homomorphism(X2,X3,X1) ),
    c_0_454,
    [final] ).

cnf(c_0_589,plain,
    ( equalish(apply(X1,X2),apply(X3,X2))
    | ~ equalish(X1,X3) ),
    c_0_455,
    [final] ).

cnf(c_0_590,plain,
    ( equalish(apply(X1,X2),apply(X1,X3))
    | ~ equalish(X2,X3) ),
    c_0_456,
    [final] ).

cnf(c_0_591,plain,
    ( equalish(compose(X1,X2),compose(X3,X2))
    | ~ equalish(X1,X3) ),
    c_0_457,
    [final] ).

cnf(c_0_592,plain,
    ( equalish(compose(X1,X2),compose(X1,X3))
    | ~ equalish(X2,X3) ),
    c_0_458,
    [final] ).

cnf(c_0_593,plain,
    ( equalish(cross_product(X1,X2),cross_product(X3,X2))
    | ~ equalish(X1,X3) ),
    c_0_459,
    [final] ).

cnf(c_0_594,plain,
    ( equalish(cross_product(X1,X2),cross_product(X1,X3))
    | ~ equalish(X2,X3) ),
    c_0_460,
    [final] ).

cnf(c_0_595,plain,
    ( equalish(symmetric_difference(X1,X2),symmetric_difference(X3,X2))
    | ~ equalish(X1,X3) ),
    c_0_461,
    [final] ).

cnf(c_0_596,plain,
    ( equalish(symmetric_difference(X1,X2),symmetric_difference(X1,X3))
    | ~ equalish(X2,X3) ),
    c_0_462,
    [final] ).

cnf(c_0_597,plain,
    ( equalish(image(X1,X2),image(X3,X2))
    | ~ equalish(X1,X3) ),
    c_0_463,
    [final] ).

cnf(c_0_598,plain,
    ( equalish(image(X1,X2),image(X1,X3))
    | ~ equalish(X2,X3) ),
    c_0_464,
    [final] ).

cnf(c_0_599,plain,
    ( equalish(intersection(X1,X2),intersection(X3,X2))
    | ~ equalish(X1,X3) ),
    c_0_465,
    [final] ).

cnf(c_0_600,plain,
    ( equalish(intersection(X1,X2),intersection(X1,X3))
    | ~ equalish(X2,X3) ),
    c_0_466,
    [final] ).

cnf(c_0_601,plain,
    ( equalish(not_subclass_element(X1,X2),not_subclass_element(X3,X2))
    | ~ equalish(X1,X3) ),
    c_0_467,
    [final] ).

cnf(c_0_602,plain,
    ( equalish(not_subclass_element(X1,X2),not_subclass_element(X1,X3))
    | ~ equalish(X2,X3) ),
    c_0_468,
    [final] ).

cnf(c_0_603,plain,
    ( equalish(ordered_pair(X1,X2),ordered_pair(X3,X2))
    | ~ equalish(X1,X3) ),
    c_0_469,
    [final] ).

cnf(c_0_604,plain,
    ( equalish(ordered_pair(X1,X2),ordered_pair(X1,X3))
    | ~ equalish(X2,X3) ),
    c_0_470,
    [final] ).

cnf(c_0_605,plain,
    ( equalish(union(X1,X2),union(X3,X2))
    | ~ equalish(X1,X3) ),
    c_0_471,
    [final] ).

cnf(c_0_606,plain,
    ( equalish(union(X1,X2),union(X1,X3))
    | ~ equalish(X2,X3) ),
    c_0_472,
    [final] ).

cnf(c_0_607,plain,
    ( equalish(unordered_pair(X1,X2),unordered_pair(X3,X2))
    | ~ equalish(X1,X3) ),
    c_0_473,
    [final] ).

cnf(c_0_608,plain,
    ( equalish(unordered_pair(X1,X2),unordered_pair(X1,X3))
    | ~ equalish(X2,X3) ),
    c_0_474,
    [final] ).

cnf(c_0_609,plain,
    ( member(X1,intersection(X2,X3))
    | ~ member(X1,X3)
    | ~ member(X1,X2) ),
    c_0_475,
    [final] ).

cnf(c_0_610,plain,
    ( single_valued_class(X1)
    | ~ subclass(compose(X1,inverse(X1)),identity_relation) ),
    c_0_476,
    [final] ).

cnf(c_0_611,plain,
    ( inductive(X1)
    | ~ subclass(image(successor_relation,X1),X1)
    | ~ member(null_class,X1) ),
    c_0_477,
    [final] ).

cnf(c_0_612,plain,
    ( equalish(successor(X1),X2)
    | ~ member(ordered_pair(X1,X2),successor_relation) ),
    c_0_478,
    [final] ).

cnf(c_0_613,plain,
    ( subclass(X1,X2)
    | ~ member(not_subclass_element(X1,X2),X2) ),
    c_0_479,
    [final] ).

cnf(c_0_614,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    c_0_480,
    [final] ).

cnf(c_0_615,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X3,X2)) ),
    c_0_481,
    [final] ).

cnf(c_0_616,plain,
    ( member(X1,X2)
    | ~ member(ordered_pair(X1,X2),element_relation) ),
    c_0_482,
    [final] ).

cnf(c_0_617,plain,
    ( member(apply(choice,X1),X1)
    | equalish(X1,null_class)
    | ~ member(X1,universal_class) ),
    c_0_483,
    [final] ).

cnf(c_0_618,plain,
    ( member(image(X1,X2),universal_class)
    | ~ member(X2,universal_class)
    | ~ function(X1) ),
    c_0_484,
    [final] ).

cnf(c_0_619,plain,
    ( equalish(intersection(X1,regular(X1)),null_class)
    | equalish(X1,null_class) ),
    c_0_485,
    [final] ).

cnf(c_0_620,plain,
    ( member(X1,unordered_pair(X1,X2))
    | ~ member(X1,universal_class) ),
    c_0_486,
    [final] ).

cnf(c_0_621,plain,
    ( member(X1,unordered_pair(X2,X1))
    | ~ member(X1,universal_class) ),
    c_0_487,
    [final] ).

cnf(c_0_622,plain,
    ( equalish(X1,X2)
    | ~ equalish(X3,X2)
    | ~ equalish(X1,X3) ),
    c_0_488,
    [final] ).

cnf(c_0_623,plain,
    ( member(X1,X2)
    | ~ member(X3,X2)
    | ~ equalish(X3,X1) ),
    c_0_489,
    [final] ).

cnf(c_0_624,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ equalish(X3,X2) ),
    c_0_490,
    [final] ).

cnf(c_0_625,plain,
    ( subclass(X1,X2)
    | ~ subclass(X3,X2)
    | ~ equalish(X3,X1) ),
    c_0_491,
    [final] ).

cnf(c_0_626,plain,
    ( subclass(X1,X2)
    | ~ subclass(X1,X3)
    | ~ equalish(X3,X2) ),
    c_0_492,
    [final] ).

cnf(c_0_627,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subclass(X3,X2) ),
    c_0_493,
    [final] ).

cnf(c_0_628,plain,
    ( equalish(X1,X2)
    | ~ subclass(X2,X1)
    | ~ subclass(X1,X2) ),
    c_0_494,
    [final] ).

cnf(c_0_629,plain,
    ( subclass(X1,X2)
    | ~ subclass(X3,X2)
    | ~ subclass(X1,X3) ),
    c_0_495,
    [final] ).

cnf(c_0_630,plain,
    ( subclass(compose(X1,inverse(X1)),identity_relation)
    | ~ single_valued_class(X1) ),
    c_0_496,
    [final] ).

cnf(c_0_631,plain,
    ( subclass(compose(X1,inverse(X1)),identity_relation)
    | ~ function(X1) ),
    c_0_497,
    [final] ).

cnf(c_0_632,plain,
    ( member(X1,X2)
    | member(X1,complement(X2))
    | ~ member(X1,universal_class) ),
    c_0_498,
    [final] ).

cnf(c_0_633,plain,
    ( ~ member(X1,X2)
    | ~ member(X1,complement(X2)) ),
    c_0_499,
    [final] ).

cnf(c_0_634,plain,
    ( subclass(X1,X2)
    | member(not_subclass_element(X1,X2),X1) ),
    c_0_500,
    [final] ).

cnf(c_0_635,plain,
    ( equalish(cantor(X1),cantor(X2))
    | ~ equalish(X1,X2) ),
    c_0_501,
    [final] ).

cnf(c_0_636,plain,
    ( equalish(complement(X1),complement(X2))
    | ~ equalish(X1,X2) ),
    c_0_502,
    [final] ).

cnf(c_0_637,plain,
    ( equalish(diagonalise(X1),diagonalise(X2))
    | ~ equalish(X1,X2) ),
    c_0_503,
    [final] ).

cnf(c_0_638,plain,
    ( equalish(domain_of(X1),domain_of(X2))
    | ~ equalish(X1,X2) ),
    c_0_504,
    [final] ).

cnf(c_0_639,plain,
    ( equalish(first(X1),first(X2))
    | ~ equalish(X1,X2) ),
    c_0_505,
    [final] ).

cnf(c_0_640,plain,
    ( equalish(flip(X1),flip(X2))
    | ~ equalish(X1,X2) ),
    c_0_506,
    [final] ).

cnf(c_0_641,plain,
    ( equalish(inverse(X1),inverse(X2))
    | ~ equalish(X1,X2) ),
    c_0_507,
    [final] ).

cnf(c_0_642,plain,
    ( equalish(power_class(X1),power_class(X2))
    | ~ equalish(X1,X2) ),
    c_0_508,
    [final] ).

cnf(c_0_643,plain,
    ( equalish(range_of(X1),range_of(X2))
    | ~ equalish(X1,X2) ),
    c_0_509,
    [final] ).

cnf(c_0_644,plain,
    ( equalish(regular(X1),regular(X2))
    | ~ equalish(X1,X2) ),
    c_0_510,
    [final] ).

cnf(c_0_645,plain,
    ( equalish(rotate(X1),rotate(X2))
    | ~ equalish(X1,X2) ),
    c_0_511,
    [final] ).

cnf(c_0_646,plain,
    ( equalish(second(X1),second(X2))
    | ~ equalish(X1,X2) ),
    c_0_512,
    [final] ).

cnf(c_0_647,plain,
    ( equalish(singleton(X1),singleton(X2))
    | ~ equalish(X1,X2) ),
    c_0_513,
    [final] ).

cnf(c_0_648,plain,
    ( equalish(successor(X1),successor(X2))
    | ~ equalish(X1,X2) ),
    c_0_514,
    [final] ).

cnf(c_0_649,plain,
    ( equalish(sum_class(X1),sum_class(X2))
    | ~ equalish(X1,X2) ),
    c_0_515,
    [final] ).

cnf(c_0_650,plain,
    ( subclass(range_of(X1),domain_of(domain_of(X1)))
    | ~ operation(X1) ),
    c_0_516,
    [final] ).

cnf(c_0_651,plain,
    ( subclass(image(successor_relation,X1),X1)
    | ~ inductive(X1) ),
    c_0_517,
    [final] ).

cnf(c_0_652,plain,
    ( subclass(X1,cross_product(universal_class,universal_class))
    | ~ function(X1) ),
    c_0_518,
    [final] ).

cnf(c_0_653,plain,
    ( member(sum_class(X1),universal_class)
    | ~ member(X1,universal_class) ),
    c_0_519,
    [final] ).

cnf(c_0_654,plain,
    ( member(power_class(X1),universal_class)
    | ~ member(X1,universal_class) ),
    c_0_520,
    [final] ).

cnf(c_0_655,plain,
    ( equalish(X1,X2)
    | ~ equalish(X2,X1) ),
    c_0_521,
    [final] ).

cnf(c_0_656,plain,
    ( subclass(X1,X2)
    | ~ equalish(X1,X2) ),
    c_0_522,
    [final] ).

cnf(c_0_657,plain,
    ( subclass(X1,X2)
    | ~ equalish(X2,X1) ),
    c_0_523,
    [final] ).

cnf(c_0_658,plain,
    ( function(X1)
    | ~ function(X2)
    | ~ equalish(X2,X1) ),
    c_0_524,
    [final] ).

cnf(c_0_659,plain,
    ( inductive(X1)
    | ~ inductive(X2)
    | ~ equalish(X2,X1) ),
    c_0_525,
    [final] ).

cnf(c_0_660,plain,
    ( one_to_one(X1)
    | ~ one_to_one(X2)
    | ~ equalish(X2,X1) ),
    c_0_526,
    [final] ).

cnf(c_0_661,plain,
    ( operation(X1)
    | ~ operation(X2)
    | ~ equalish(X2,X1) ),
    c_0_527,
    [final] ).

cnf(c_0_662,plain,
    ( single_valued_class(X1)
    | ~ single_valued_class(X2)
    | ~ equalish(X2,X1) ),
    c_0_528,
    [final] ).

cnf(c_0_663,plain,
    ( member(regular(X1),X1)
    | equalish(X1,null_class) ),
    c_0_529,
    [final] ).

cnf(c_0_664,plain,
    ( one_to_one(X1)
    | ~ function(X1)
    | ~ function(inverse(X1)) ),
    c_0_530,
    [final] ).

cnf(c_0_665,plain,
    ( member(null_class,X1)
    | ~ inductive(X1) ),
    c_0_531,
    [final] ).

cnf(c_0_666,plain,
    ( subclass(omega,X1)
    | ~ inductive(X1) ),
    c_0_532,
    [final] ).

cnf(c_0_667,plain,
    ( function(inverse(X1))
    | ~ one_to_one(X1) ),
    c_0_533,
    [final] ).

cnf(c_0_668,plain,
    ( function(X1)
    | ~ one_to_one(X1) ),
    c_0_534,
    [final] ).

cnf(c_0_669,plain,
    ( function(X1)
    | ~ operation(X1) ),
    c_0_535,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_536_0,axiom,
    ( homomorphism(X1,X2,X3)
    | ~ equalish(apply(X3,ordered_pair(apply(X1,not_homomorphism1(X1,X2,X3)),apply(X1,not_homomorphism2(X1,X2,X3)))),apply(X1,apply(X2,ordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism2(X1,X2,X3)))))
    | ~ compatible(X1,X2,X3)
    | ~ operation(X3)
    | ~ operation(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_536]) ).

cnf(c_0_536_1,axiom,
    ( ~ equalish(apply(X3,ordered_pair(apply(X1,not_homomorphism1(X1,X2,X3)),apply(X1,not_homomorphism2(X1,X2,X3)))),apply(X1,apply(X2,ordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism2(X1,X2,X3)))))
    | homomorphism(X1,X2,X3)
    | ~ compatible(X1,X2,X3)
    | ~ operation(X3)
    | ~ operation(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_536]) ).

cnf(c_0_536_2,axiom,
    ( ~ compatible(X1,X2,X3)
    | ~ equalish(apply(X3,ordered_pair(apply(X1,not_homomorphism1(X1,X2,X3)),apply(X1,not_homomorphism2(X1,X2,X3)))),apply(X1,apply(X2,ordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism2(X1,X2,X3)))))
    | homomorphism(X1,X2,X3)
    | ~ operation(X3)
    | ~ operation(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_536]) ).

cnf(c_0_536_3,axiom,
    ( ~ operation(X3)
    | ~ compatible(X1,X2,X3)
    | ~ equalish(apply(X3,ordered_pair(apply(X1,not_homomorphism1(X1,X2,X3)),apply(X1,not_homomorphism2(X1,X2,X3)))),apply(X1,apply(X2,ordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism2(X1,X2,X3)))))
    | homomorphism(X1,X2,X3)
    | ~ operation(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_536]) ).

cnf(c_0_536_4,axiom,
    ( ~ operation(X2)
    | ~ operation(X3)
    | ~ compatible(X1,X2,X3)
    | ~ equalish(apply(X3,ordered_pair(apply(X1,not_homomorphism1(X1,X2,X3)),apply(X1,not_homomorphism2(X1,X2,X3)))),apply(X1,apply(X2,ordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism2(X1,X2,X3)))))
    | homomorphism(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_536]) ).

cnf(c_0_537_0,axiom,
    ( equalish(apply(X1,ordered_pair(apply(X2,X3),apply(X2,X4))),apply(X2,apply(X5,ordered_pair(X3,X4))))
    | ~ member(ordered_pair(X3,X4),domain_of(X5))
    | ~ homomorphism(X2,X5,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_537]) ).

cnf(c_0_537_1,axiom,
    ( ~ member(ordered_pair(X3,X4),domain_of(X5))
    | equalish(apply(X1,ordered_pair(apply(X2,X3),apply(X2,X4))),apply(X2,apply(X5,ordered_pair(X3,X4))))
    | ~ homomorphism(X2,X5,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_537]) ).

cnf(c_0_537_2,axiom,
    ( ~ homomorphism(X2,X5,X1)
    | ~ member(ordered_pair(X3,X4),domain_of(X5))
    | equalish(apply(X1,ordered_pair(apply(X2,X3),apply(X2,X4))),apply(X2,apply(X5,ordered_pair(X3,X4)))) ),
    inference(literals_permutation,[status(thm)],[c_0_537]) ).

cnf(c_0_538_0,axiom,
    ( homomorphism(X1,X2,X3)
    | member(ordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism2(X1,X2,X3)),domain_of(X2))
    | ~ compatible(X1,X2,X3)
    | ~ operation(X3)
    | ~ operation(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_538]) ).

cnf(c_0_538_1,axiom,
    ( member(ordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism2(X1,X2,X3)),domain_of(X2))
    | homomorphism(X1,X2,X3)
    | ~ compatible(X1,X2,X3)
    | ~ operation(X3)
    | ~ operation(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_538]) ).

cnf(c_0_538_2,axiom,
    ( ~ compatible(X1,X2,X3)
    | member(ordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism2(X1,X2,X3)),domain_of(X2))
    | homomorphism(X1,X2,X3)
    | ~ operation(X3)
    | ~ operation(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_538]) ).

cnf(c_0_538_3,axiom,
    ( ~ operation(X3)
    | ~ compatible(X1,X2,X3)
    | member(ordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism2(X1,X2,X3)),domain_of(X2))
    | homomorphism(X1,X2,X3)
    | ~ operation(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_538]) ).

cnf(c_0_538_4,axiom,
    ( ~ operation(X2)
    | ~ operation(X3)
    | ~ compatible(X1,X2,X3)
    | member(ordered_pair(not_homomorphism1(X1,X2,X3),not_homomorphism2(X1,X2,X3)),domain_of(X2))
    | homomorphism(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_538]) ).

cnf(c_0_539_0,axiom,
    ( member(ordered_pair(ordered_pair(X1,X2),X3),rotate(X4))
    | ~ member(ordered_pair(ordered_pair(X1,X2),X3),cross_product(cross_product(universal_class,universal_class),universal_class))
    | ~ member(ordered_pair(ordered_pair(X2,X3),X1),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_539]) ).

cnf(c_0_539_1,axiom,
    ( ~ member(ordered_pair(ordered_pair(X1,X2),X3),cross_product(cross_product(universal_class,universal_class),universal_class))
    | member(ordered_pair(ordered_pair(X1,X2),X3),rotate(X4))
    | ~ member(ordered_pair(ordered_pair(X2,X3),X1),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_539]) ).

cnf(c_0_539_2,axiom,
    ( ~ member(ordered_pair(ordered_pair(X2,X3),X1),X4)
    | ~ member(ordered_pair(ordered_pair(X1,X2),X3),cross_product(cross_product(universal_class,universal_class),universal_class))
    | member(ordered_pair(ordered_pair(X1,X2),X3),rotate(X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_539]) ).

cnf(c_0_540_0,axiom,
    ( member(ordered_pair(ordered_pair(X1,X2),X3),flip(X4))
    | ~ member(ordered_pair(ordered_pair(X1,X2),X3),cross_product(cross_product(universal_class,universal_class),universal_class))
    | ~ member(ordered_pair(ordered_pair(X2,X1),X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_540]) ).

cnf(c_0_540_1,axiom,
    ( ~ member(ordered_pair(ordered_pair(X1,X2),X3),cross_product(cross_product(universal_class,universal_class),universal_class))
    | member(ordered_pair(ordered_pair(X1,X2),X3),flip(X4))
    | ~ member(ordered_pair(ordered_pair(X2,X1),X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_540]) ).

cnf(c_0_540_2,axiom,
    ( ~ member(ordered_pair(ordered_pair(X2,X1),X3),X4)
    | ~ member(ordered_pair(ordered_pair(X1,X2),X3),cross_product(cross_product(universal_class,universal_class),universal_class))
    | member(ordered_pair(ordered_pair(X1,X2),X3),flip(X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_540]) ).

cnf(c_0_541_0,axiom,
    ( member(ordered_pair(X1,X2),compose(X3,X4))
    | ~ member(ordered_pair(X1,X2),cross_product(universal_class,universal_class))
    | ~ member(X2,image(X3,image(X4,singleton(X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_541]) ).

cnf(c_0_541_1,axiom,
    ( ~ member(ordered_pair(X1,X2),cross_product(universal_class,universal_class))
    | member(ordered_pair(X1,X2),compose(X3,X4))
    | ~ member(X2,image(X3,image(X4,singleton(X1)))) ),
    inference(literals_permutation,[status(thm)],[c_0_541]) ).

cnf(c_0_541_2,axiom,
    ( ~ member(X2,image(X3,image(X4,singleton(X1))))
    | ~ member(ordered_pair(X1,X2),cross_product(universal_class,universal_class))
    | member(ordered_pair(X1,X2),compose(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_541]) ).

cnf(c_0_542_0,axiom,
    ( operation(X1)
    | ~ subclass(range_of(X1),domain_of(domain_of(X1)))
    | ~ equalish(cross_product(domain_of(domain_of(X1)),domain_of(domain_of(X1))),domain_of(X1))
    | ~ function(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_542]) ).

cnf(c_0_542_1,axiom,
    ( ~ subclass(range_of(X1),domain_of(domain_of(X1)))
    | operation(X1)
    | ~ equalish(cross_product(domain_of(domain_of(X1)),domain_of(domain_of(X1))),domain_of(X1))
    | ~ function(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_542]) ).

cnf(c_0_542_2,axiom,
    ( ~ equalish(cross_product(domain_of(domain_of(X1)),domain_of(domain_of(X1))),domain_of(X1))
    | ~ subclass(range_of(X1),domain_of(domain_of(X1)))
    | operation(X1)
    | ~ function(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_542]) ).

cnf(c_0_542_3,axiom,
    ( ~ function(X1)
    | ~ equalish(cross_product(domain_of(domain_of(X1)),domain_of(domain_of(X1))),domain_of(X1))
    | ~ subclass(range_of(X1),domain_of(domain_of(X1)))
    | operation(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_542]) ).

cnf(c_0_543_0,axiom,
    ( equalish(domain(X1,X2,X3),domain(X4,X2,X3))
    | ~ equalish(X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_543]) ).

cnf(c_0_543_1,axiom,
    ( ~ equalish(X1,X4)
    | equalish(domain(X1,X2,X3),domain(X4,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_543]) ).

cnf(c_0_544_0,axiom,
    ( equalish(domain(X1,X2,X3),domain(X1,X4,X3))
    | ~ equalish(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_544]) ).

cnf(c_0_544_1,axiom,
    ( ~ equalish(X2,X4)
    | equalish(domain(X1,X2,X3),domain(X1,X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_544]) ).

cnf(c_0_545_0,axiom,
    ( equalish(domain(X1,X2,X3),domain(X1,X2,X4))
    | ~ equalish(X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_545]) ).

cnf(c_0_545_1,axiom,
    ( ~ equalish(X3,X4)
    | equalish(domain(X1,X2,X3),domain(X1,X2,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_545]) ).

cnf(c_0_546_0,axiom,
    ( equalish(not_homomorphism1(X1,X2,X3),not_homomorphism1(X4,X2,X3))
    | ~ equalish(X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_546]) ).

cnf(c_0_546_1,axiom,
    ( ~ equalish(X1,X4)
    | equalish(not_homomorphism1(X1,X2,X3),not_homomorphism1(X4,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_546]) ).

cnf(c_0_547_0,axiom,
    ( equalish(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X4,X3))
    | ~ equalish(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_547]) ).

cnf(c_0_547_1,axiom,
    ( ~ equalish(X2,X4)
    | equalish(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_547]) ).

cnf(c_0_548_0,axiom,
    ( equalish(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X4))
    | ~ equalish(X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_548]) ).

cnf(c_0_548_1,axiom,
    ( ~ equalish(X3,X4)
    | equalish(not_homomorphism1(X1,X2,X3),not_homomorphism1(X1,X2,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_548]) ).

cnf(c_0_549_0,axiom,
    ( equalish(not_homomorphism2(X1,X2,X3),not_homomorphism2(X4,X2,X3))
    | ~ equalish(X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_549]) ).

cnf(c_0_549_1,axiom,
    ( ~ equalish(X1,X4)
    | equalish(not_homomorphism2(X1,X2,X3),not_homomorphism2(X4,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_549]) ).

cnf(c_0_550_0,axiom,
    ( equalish(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X4,X3))
    | ~ equalish(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_550]) ).

cnf(c_0_550_1,axiom,
    ( ~ equalish(X2,X4)
    | equalish(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_550]) ).

cnf(c_0_551_0,axiom,
    ( equalish(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X4))
    | ~ equalish(X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_551]) ).

cnf(c_0_551_1,axiom,
    ( ~ equalish(X3,X4)
    | equalish(not_homomorphism2(X1,X2,X3),not_homomorphism2(X1,X2,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_551]) ).

cnf(c_0_552_0,axiom,
    ( equalish(range(X1,X2,X3),range(X4,X2,X3))
    | ~ equalish(X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_552]) ).

cnf(c_0_552_1,axiom,
    ( ~ equalish(X1,X4)
    | equalish(range(X1,X2,X3),range(X4,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_552]) ).

cnf(c_0_553_0,axiom,
    ( equalish(range(X1,X2,X3),range(X1,X4,X3))
    | ~ equalish(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_553]) ).

cnf(c_0_553_1,axiom,
    ( ~ equalish(X2,X4)
    | equalish(range(X1,X2,X3),range(X1,X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_553]) ).

cnf(c_0_554_0,axiom,
    ( equalish(range(X1,X2,X3),range(X1,X2,X4))
    | ~ equalish(X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_554]) ).

cnf(c_0_554_1,axiom,
    ( ~ equalish(X3,X4)
    | equalish(range(X1,X2,X3),range(X1,X2,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_554]) ).

cnf(c_0_555_0,axiom,
    ( equalish(restrict(X1,X2,X3),restrict(X4,X2,X3))
    | ~ equalish(X1,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_555]) ).

cnf(c_0_555_1,axiom,
    ( ~ equalish(X1,X4)
    | equalish(restrict(X1,X2,X3),restrict(X4,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_555]) ).

cnf(c_0_556_0,axiom,
    ( equalish(restrict(X1,X2,X3),restrict(X1,X4,X3))
    | ~ equalish(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_556]) ).

cnf(c_0_556_1,axiom,
    ( ~ equalish(X2,X4)
    | equalish(restrict(X1,X2,X3),restrict(X1,X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_556]) ).

cnf(c_0_557_0,axiom,
    ( equalish(restrict(X1,X2,X3),restrict(X1,X2,X4))
    | ~ equalish(X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_557]) ).

cnf(c_0_557_1,axiom,
    ( ~ equalish(X3,X4)
    | equalish(restrict(X1,X2,X3),restrict(X1,X2,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_557]) ).

cnf(c_0_558_0,axiom,
    ( member(ordered_pair(ordered_pair(X1,X2),X3),X4)
    | ~ member(ordered_pair(ordered_pair(X3,X1),X2),rotate(X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_558]) ).

cnf(c_0_558_1,axiom,
    ( ~ member(ordered_pair(ordered_pair(X3,X1),X2),rotate(X4))
    | member(ordered_pair(ordered_pair(X1,X2),X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_558]) ).

cnf(c_0_559_0,axiom,
    ( member(ordered_pair(ordered_pair(X1,X2),X3),X4)
    | ~ member(ordered_pair(ordered_pair(X2,X1),X3),flip(X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_559]) ).

cnf(c_0_559_1,axiom,
    ( ~ member(ordered_pair(ordered_pair(X2,X1),X3),flip(X4))
    | member(ordered_pair(ordered_pair(X1,X2),X3),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_559]) ).

cnf(c_0_560_0,axiom,
    ( ~ member(X1,domain_of(X2))
    | ~ equalish(restrict(X2,singleton(X1),universal_class),null_class) ),
    inference(literals_permutation,[status(thm)],[c_0_560]) ).

cnf(c_0_560_1,axiom,
    ( ~ equalish(restrict(X2,singleton(X1),universal_class),null_class)
    | ~ member(X1,domain_of(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_560]) ).

cnf(c_0_561_0,axiom,
    ( member(X1,image(X2,image(X3,singleton(X4))))
    | ~ member(ordered_pair(X4,X1),compose(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_561]) ).

cnf(c_0_561_1,axiom,
    ( ~ member(ordered_pair(X4,X1),compose(X2,X3))
    | member(X1,image(X2,image(X3,singleton(X4)))) ),
    inference(literals_permutation,[status(thm)],[c_0_561]) ).

cnf(c_0_562_0,axiom,
    ( compatible(X1,X2,X3)
    | ~ subclass(range_of(X4),domain_of(domain_of(X3)))
    | ~ equalish(domain_of(domain_of(X2)),domain_of(X4))
    | ~ function(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_562]) ).

cnf(c_0_562_1,axiom,
    ( ~ subclass(range_of(X4),domain_of(domain_of(X3)))
    | compatible(X1,X2,X3)
    | ~ equalish(domain_of(domain_of(X2)),domain_of(X4))
    | ~ function(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_562]) ).

cnf(c_0_562_2,axiom,
    ( ~ equalish(domain_of(domain_of(X2)),domain_of(X4))
    | ~ subclass(range_of(X4),domain_of(domain_of(X3)))
    | compatible(X1,X2,X3)
    | ~ function(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_562]) ).

cnf(c_0_562_3,axiom,
    ( ~ function(X4)
    | ~ equalish(domain_of(domain_of(X2)),domain_of(X4))
    | ~ subclass(range_of(X4),domain_of(domain_of(X3)))
    | compatible(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_562]) ).

cnf(c_0_563_0,axiom,
    ( member(X1,domain_of(X2))
    | equalish(restrict(X2,singleton(X1),universal_class),null_class)
    | ~ member(X1,universal_class) ),
    inference(literals_permutation,[status(thm)],[c_0_563]) ).

cnf(c_0_563_1,axiom,
    ( equalish(restrict(X2,singleton(X1),universal_class),null_class)
    | member(X1,domain_of(X2))
    | ~ member(X1,universal_class) ),
    inference(literals_permutation,[status(thm)],[c_0_563]) ).

cnf(c_0_563_2,axiom,
    ( ~ member(X1,universal_class)
    | equalish(restrict(X2,singleton(X1),universal_class),null_class)
    | member(X1,domain_of(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_563]) ).

cnf(c_0_564_0,axiom,
    ( member(ordered_pair(X1,X2),successor_relation)
    | ~ member(ordered_pair(X1,X2),cross_product(universal_class,universal_class))
    | ~ equalish(successor(X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_564]) ).

cnf(c_0_564_1,axiom,
    ( ~ member(ordered_pair(X1,X2),cross_product(universal_class,universal_class))
    | member(ordered_pair(X1,X2),successor_relation)
    | ~ equalish(successor(X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_564]) ).

cnf(c_0_564_2,axiom,
    ( ~ equalish(successor(X1),X2)
    | ~ member(ordered_pair(X1,X2),cross_product(universal_class,universal_class))
    | member(ordered_pair(X1,X2),successor_relation) ),
    inference(literals_permutation,[status(thm)],[c_0_564]) ).

cnf(c_0_565_0,axiom,
    ( compatible(X1,X2,X3)
    | ~ compatible(X4,X2,X3)
    | ~ equalish(X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_565]) ).

cnf(c_0_565_1,axiom,
    ( ~ compatible(X4,X2,X3)
    | compatible(X1,X2,X3)
    | ~ equalish(X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_565]) ).

cnf(c_0_565_2,axiom,
    ( ~ equalish(X4,X1)
    | ~ compatible(X4,X2,X3)
    | compatible(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_565]) ).

cnf(c_0_566_0,axiom,
    ( compatible(X1,X2,X3)
    | ~ compatible(X1,X4,X3)
    | ~ equalish(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_566]) ).

cnf(c_0_566_1,axiom,
    ( ~ compatible(X1,X4,X3)
    | compatible(X1,X2,X3)
    | ~ equalish(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_566]) ).

cnf(c_0_566_2,axiom,
    ( ~ equalish(X4,X2)
    | ~ compatible(X1,X4,X3)
    | compatible(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_566]) ).

cnf(c_0_567_0,axiom,
    ( compatible(X1,X2,X3)
    | ~ compatible(X1,X2,X4)
    | ~ equalish(X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_567]) ).

cnf(c_0_567_1,axiom,
    ( ~ compatible(X1,X2,X4)
    | compatible(X1,X2,X3)
    | ~ equalish(X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_567]) ).

cnf(c_0_567_2,axiom,
    ( ~ equalish(X4,X3)
    | ~ compatible(X1,X2,X4)
    | compatible(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_567]) ).

cnf(c_0_568_0,axiom,
    ( homomorphism(X1,X2,X3)
    | ~ homomorphism(X4,X2,X3)
    | ~ equalish(X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_568]) ).

cnf(c_0_568_1,axiom,
    ( ~ homomorphism(X4,X2,X3)
    | homomorphism(X1,X2,X3)
    | ~ equalish(X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_568]) ).

cnf(c_0_568_2,axiom,
    ( ~ equalish(X4,X1)
    | ~ homomorphism(X4,X2,X3)
    | homomorphism(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_568]) ).

cnf(c_0_569_0,axiom,
    ( homomorphism(X1,X2,X3)
    | ~ homomorphism(X1,X4,X3)
    | ~ equalish(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_569]) ).

cnf(c_0_569_1,axiom,
    ( ~ homomorphism(X1,X4,X3)
    | homomorphism(X1,X2,X3)
    | ~ equalish(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_569]) ).

cnf(c_0_569_2,axiom,
    ( ~ equalish(X4,X2)
    | ~ homomorphism(X1,X4,X3)
    | homomorphism(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_569]) ).

cnf(c_0_570_0,axiom,
    ( homomorphism(X1,X2,X3)
    | ~ homomorphism(X1,X2,X4)
    | ~ equalish(X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_570]) ).

cnf(c_0_570_1,axiom,
    ( ~ homomorphism(X1,X2,X4)
    | homomorphism(X1,X2,X3)
    | ~ equalish(X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_570]) ).

cnf(c_0_570_2,axiom,
    ( ~ equalish(X4,X3)
    | ~ homomorphism(X1,X2,X4)
    | homomorphism(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_570]) ).

cnf(c_0_571_0,axiom,
    ( member(ordered_pair(X1,X2),element_relation)
    | ~ member(X1,X2)
    | ~ member(ordered_pair(X1,X2),cross_product(universal_class,universal_class)) ),
    inference(literals_permutation,[status(thm)],[c_0_571]) ).

cnf(c_0_571_1,axiom,
    ( ~ member(X1,X2)
    | member(ordered_pair(X1,X2),element_relation)
    | ~ member(ordered_pair(X1,X2),cross_product(universal_class,universal_class)) ),
    inference(literals_permutation,[status(thm)],[c_0_571]) ).

cnf(c_0_571_2,axiom,
    ( ~ member(ordered_pair(X1,X2),cross_product(universal_class,universal_class))
    | ~ member(X1,X2)
    | member(ordered_pair(X1,X2),element_relation) ),
    inference(literals_permutation,[status(thm)],[c_0_571]) ).

cnf(c_0_572_0,axiom,
    ( member(X1,unordered_pair(X1,X2))
    | ~ member(ordered_pair(X1,X2),cross_product(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_572]) ).

cnf(c_0_572_1,axiom,
    ( ~ member(ordered_pair(X1,X2),cross_product(X3,X4))
    | member(X1,unordered_pair(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_572]) ).

cnf(c_0_573_0,axiom,
    ( member(X1,unordered_pair(X2,X1))
    | ~ member(ordered_pair(X2,X1),cross_product(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_573]) ).

cnf(c_0_573_1,axiom,
    ( ~ member(ordered_pair(X2,X1),cross_product(X3,X4))
    | member(X1,unordered_pair(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_573]) ).

cnf(c_0_574_0,axiom,
    ( compatible(X1,X2,X3)
    | ~ homomorphism(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_574]) ).

cnf(c_0_574_1,axiom,
    ( ~ homomorphism(X1,X2,X3)
    | compatible(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_574]) ).

cnf(c_0_575_0,axiom,
    ( function(X1)
    | ~ subclass(compose(X1,inverse(X1)),identity_relation)
    | ~ subclass(X1,cross_product(universal_class,universal_class)) ),
    inference(literals_permutation,[status(thm)],[c_0_575]) ).

cnf(c_0_575_1,axiom,
    ( ~ subclass(compose(X1,inverse(X1)),identity_relation)
    | function(X1)
    | ~ subclass(X1,cross_product(universal_class,universal_class)) ),
    inference(literals_permutation,[status(thm)],[c_0_575]) ).

cnf(c_0_575_2,axiom,
    ( ~ subclass(X1,cross_product(universal_class,universal_class))
    | ~ subclass(compose(X1,inverse(X1)),identity_relation)
    | function(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_575]) ).

cnf(c_0_576_0,axiom,
    ( equalish(ordered_pair(first(X1),second(X1)),X1)
    | ~ member(X1,cross_product(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_576]) ).

cnf(c_0_576_1,axiom,
    ( ~ member(X1,cross_product(X2,X3))
    | equalish(ordered_pair(first(X1),second(X1)),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_576]) ).

cnf(c_0_577_0,axiom,
    ( equalish(cross_product(domain_of(domain_of(X1)),domain_of(domain_of(X1))),domain_of(X1))
    | ~ operation(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_577]) ).

cnf(c_0_577_1,axiom,
    ( ~ operation(X1)
    | equalish(cross_product(domain_of(domain_of(X1)),domain_of(domain_of(X1))),domain_of(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_577]) ).

cnf(c_0_578_0,axiom,
    ( equalish(domain_of(domain_of(X1)),domain_of(X2))
    | ~ compatible(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_578]) ).

cnf(c_0_578_1,axiom,
    ( ~ compatible(X2,X1,X3)
    | equalish(domain_of(domain_of(X1)),domain_of(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_578]) ).

cnf(c_0_579_0,axiom,
    ( subclass(range_of(X1),domain_of(domain_of(X2)))
    | ~ compatible(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_579]) ).

cnf(c_0_579_1,axiom,
    ( ~ compatible(X1,X3,X2)
    | subclass(range_of(X1),domain_of(domain_of(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_579]) ).

cnf(c_0_580_0,axiom,
    ( member(X1,X2)
    | ~ member(ordered_pair(X1,X3),cross_product(X2,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_580]) ).

cnf(c_0_580_1,axiom,
    ( ~ member(ordered_pair(X1,X3),cross_product(X2,X4))
    | member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_580]) ).

cnf(c_0_581_0,axiom,
    ( member(X1,X2)
    | ~ member(ordered_pair(X3,X1),cross_product(X4,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_581]) ).

cnf(c_0_581_1,axiom,
    ( ~ member(ordered_pair(X3,X1),cross_product(X4,X2))
    | member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_581]) ).

cnf(c_0_582_0,axiom,
    ( member(X1,universal_class)
    | ~ member(ordered_pair(X1,X2),cross_product(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_582]) ).

cnf(c_0_582_1,axiom,
    ( ~ member(ordered_pair(X1,X2),cross_product(X3,X4))
    | member(X1,universal_class) ),
    inference(literals_permutation,[status(thm)],[c_0_582]) ).

cnf(c_0_583_0,axiom,
    ( member(X1,universal_class)
    | ~ member(ordered_pair(X2,X1),cross_product(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_583]) ).

cnf(c_0_583_1,axiom,
    ( ~ member(ordered_pair(X2,X1),cross_product(X3,X4))
    | member(X1,universal_class) ),
    inference(literals_permutation,[status(thm)],[c_0_583]) ).

cnf(c_0_584_0,axiom,
    ( member(ordered_pair(X1,X2),cross_product(X3,X4))
    | ~ member(X2,X4)
    | ~ member(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_584]) ).

cnf(c_0_584_1,axiom,
    ( ~ member(X2,X4)
    | member(ordered_pair(X1,X2),cross_product(X3,X4))
    | ~ member(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_584]) ).

cnf(c_0_584_2,axiom,
    ( ~ member(X1,X3)
    | ~ member(X2,X4)
    | member(ordered_pair(X1,X2),cross_product(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_584]) ).

cnf(c_0_585_0,axiom,
    ( equalish(X1,X2)
    | equalish(X1,X3)
    | ~ member(X1,unordered_pair(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_585]) ).

cnf(c_0_585_1,axiom,
    ( equalish(X1,X3)
    | equalish(X1,X2)
    | ~ member(X1,unordered_pair(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_585]) ).

cnf(c_0_585_2,axiom,
    ( ~ member(X1,unordered_pair(X3,X2))
    | equalish(X1,X3)
    | equalish(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_585]) ).

cnf(c_0_586_0,axiom,
    ( function(X1)
    | ~ compatible(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_586]) ).

cnf(c_0_586_1,axiom,
    ( ~ compatible(X1,X2,X3)
    | function(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_586]) ).

cnf(c_0_587_0,axiom,
    ( operation(X1)
    | ~ homomorphism(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_587]) ).

cnf(c_0_587_1,axiom,
    ( ~ homomorphism(X2,X1,X3)
    | operation(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_587]) ).

cnf(c_0_588_0,axiom,
    ( operation(X1)
    | ~ homomorphism(X2,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_588]) ).

cnf(c_0_588_1,axiom,
    ( ~ homomorphism(X2,X3,X1)
    | operation(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_588]) ).

cnf(c_0_589_0,axiom,
    ( equalish(apply(X1,X2),apply(X3,X2))
    | ~ equalish(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_589]) ).

cnf(c_0_589_1,axiom,
    ( ~ equalish(X1,X3)
    | equalish(apply(X1,X2),apply(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_589]) ).

cnf(c_0_590_0,axiom,
    ( equalish(apply(X1,X2),apply(X1,X3))
    | ~ equalish(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_590]) ).

cnf(c_0_590_1,axiom,
    ( ~ equalish(X2,X3)
    | equalish(apply(X1,X2),apply(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_590]) ).

cnf(c_0_591_0,axiom,
    ( equalish(compose(X1,X2),compose(X3,X2))
    | ~ equalish(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_591]) ).

cnf(c_0_591_1,axiom,
    ( ~ equalish(X1,X3)
    | equalish(compose(X1,X2),compose(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_591]) ).

cnf(c_0_592_0,axiom,
    ( equalish(compose(X1,X2),compose(X1,X3))
    | ~ equalish(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_592]) ).

cnf(c_0_592_1,axiom,
    ( ~ equalish(X2,X3)
    | equalish(compose(X1,X2),compose(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_592]) ).

cnf(c_0_593_0,axiom,
    ( equalish(cross_product(X1,X2),cross_product(X3,X2))
    | ~ equalish(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_593]) ).

cnf(c_0_593_1,axiom,
    ( ~ equalish(X1,X3)
    | equalish(cross_product(X1,X2),cross_product(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_593]) ).

cnf(c_0_594_0,axiom,
    ( equalish(cross_product(X1,X2),cross_product(X1,X3))
    | ~ equalish(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_594]) ).

cnf(c_0_594_1,axiom,
    ( ~ equalish(X2,X3)
    | equalish(cross_product(X1,X2),cross_product(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_594]) ).

cnf(c_0_595_0,axiom,
    ( equalish(symmetric_difference(X1,X2),symmetric_difference(X3,X2))
    | ~ equalish(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_595]) ).

cnf(c_0_595_1,axiom,
    ( ~ equalish(X1,X3)
    | equalish(symmetric_difference(X1,X2),symmetric_difference(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_595]) ).

cnf(c_0_596_0,axiom,
    ( equalish(symmetric_difference(X1,X2),symmetric_difference(X1,X3))
    | ~ equalish(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_596]) ).

cnf(c_0_596_1,axiom,
    ( ~ equalish(X2,X3)
    | equalish(symmetric_difference(X1,X2),symmetric_difference(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_596]) ).

cnf(c_0_597_0,axiom,
    ( equalish(image(X1,X2),image(X3,X2))
    | ~ equalish(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_597]) ).

cnf(c_0_597_1,axiom,
    ( ~ equalish(X1,X3)
    | equalish(image(X1,X2),image(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_597]) ).

cnf(c_0_598_0,axiom,
    ( equalish(image(X1,X2),image(X1,X3))
    | ~ equalish(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_598]) ).

cnf(c_0_598_1,axiom,
    ( ~ equalish(X2,X3)
    | equalish(image(X1,X2),image(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_598]) ).

cnf(c_0_599_0,axiom,
    ( equalish(intersection(X1,X2),intersection(X3,X2))
    | ~ equalish(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_599]) ).

cnf(c_0_599_1,axiom,
    ( ~ equalish(X1,X3)
    | equalish(intersection(X1,X2),intersection(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_599]) ).

cnf(c_0_600_0,axiom,
    ( equalish(intersection(X1,X2),intersection(X1,X3))
    | ~ equalish(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_600]) ).

cnf(c_0_600_1,axiom,
    ( ~ equalish(X2,X3)
    | equalish(intersection(X1,X2),intersection(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_600]) ).

cnf(c_0_601_0,axiom,
    ( equalish(not_subclass_element(X1,X2),not_subclass_element(X3,X2))
    | ~ equalish(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_601]) ).

cnf(c_0_601_1,axiom,
    ( ~ equalish(X1,X3)
    | equalish(not_subclass_element(X1,X2),not_subclass_element(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_601]) ).

cnf(c_0_602_0,axiom,
    ( equalish(not_subclass_element(X1,X2),not_subclass_element(X1,X3))
    | ~ equalish(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_602]) ).

cnf(c_0_602_1,axiom,
    ( ~ equalish(X2,X3)
    | equalish(not_subclass_element(X1,X2),not_subclass_element(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_602]) ).

cnf(c_0_603_0,axiom,
    ( equalish(ordered_pair(X1,X2),ordered_pair(X3,X2))
    | ~ equalish(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_603]) ).

cnf(c_0_603_1,axiom,
    ( ~ equalish(X1,X3)
    | equalish(ordered_pair(X1,X2),ordered_pair(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_603]) ).

cnf(c_0_604_0,axiom,
    ( equalish(ordered_pair(X1,X2),ordered_pair(X1,X3))
    | ~ equalish(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_604]) ).

cnf(c_0_604_1,axiom,
    ( ~ equalish(X2,X3)
    | equalish(ordered_pair(X1,X2),ordered_pair(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_604]) ).

cnf(c_0_605_0,axiom,
    ( equalish(union(X1,X2),union(X3,X2))
    | ~ equalish(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_605]) ).

cnf(c_0_605_1,axiom,
    ( ~ equalish(X1,X3)
    | equalish(union(X1,X2),union(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_605]) ).

cnf(c_0_606_0,axiom,
    ( equalish(union(X1,X2),union(X1,X3))
    | ~ equalish(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_606]) ).

cnf(c_0_606_1,axiom,
    ( ~ equalish(X2,X3)
    | equalish(union(X1,X2),union(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_606]) ).

cnf(c_0_607_0,axiom,
    ( equalish(unordered_pair(X1,X2),unordered_pair(X3,X2))
    | ~ equalish(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_607]) ).

cnf(c_0_607_1,axiom,
    ( ~ equalish(X1,X3)
    | equalish(unordered_pair(X1,X2),unordered_pair(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_607]) ).

cnf(c_0_608_0,axiom,
    ( equalish(unordered_pair(X1,X2),unordered_pair(X1,X3))
    | ~ equalish(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_608]) ).

cnf(c_0_608_1,axiom,
    ( ~ equalish(X2,X3)
    | equalish(unordered_pair(X1,X2),unordered_pair(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_608]) ).

cnf(c_0_609_0,axiom,
    ( member(X1,intersection(X2,X3))
    | ~ member(X1,X3)
    | ~ member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_609]) ).

cnf(c_0_609_1,axiom,
    ( ~ member(X1,X3)
    | member(X1,intersection(X2,X3))
    | ~ member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_609]) ).

cnf(c_0_609_2,axiom,
    ( ~ member(X1,X2)
    | ~ member(X1,X3)
    | member(X1,intersection(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_609]) ).

cnf(c_0_610_0,axiom,
    ( single_valued_class(X1)
    | ~ subclass(compose(X1,inverse(X1)),identity_relation) ),
    inference(literals_permutation,[status(thm)],[c_0_610]) ).

cnf(c_0_610_1,axiom,
    ( ~ subclass(compose(X1,inverse(X1)),identity_relation)
    | single_valued_class(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_610]) ).

cnf(c_0_611_0,axiom,
    ( inductive(X1)
    | ~ subclass(image(successor_relation,X1),X1)
    | ~ member(null_class,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_611]) ).

cnf(c_0_611_1,axiom,
    ( ~ subclass(image(successor_relation,X1),X1)
    | inductive(X1)
    | ~ member(null_class,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_611]) ).

cnf(c_0_611_2,axiom,
    ( ~ member(null_class,X1)
    | ~ subclass(image(successor_relation,X1),X1)
    | inductive(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_611]) ).

cnf(c_0_612_0,axiom,
    ( equalish(successor(X1),X2)
    | ~ member(ordered_pair(X1,X2),successor_relation) ),
    inference(literals_permutation,[status(thm)],[c_0_612]) ).

cnf(c_0_612_1,axiom,
    ( ~ member(ordered_pair(X1,X2),successor_relation)
    | equalish(successor(X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_612]) ).

cnf(c_0_613_0,axiom,
    ( subclass(X1,X2)
    | ~ member(not_subclass_element(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_613]) ).

cnf(c_0_613_1,axiom,
    ( ~ member(not_subclass_element(X1,X2),X2)
    | subclass(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_613]) ).

cnf(c_0_614_0,axiom,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_614]) ).

cnf(c_0_614_1,axiom,
    ( ~ member(X1,intersection(X2,X3))
    | member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_614]) ).

cnf(c_0_615_0,axiom,
    ( member(X1,X2)
    | ~ member(X1,intersection(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_615]) ).

cnf(c_0_615_1,axiom,
    ( ~ member(X1,intersection(X3,X2))
    | member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_615]) ).

cnf(c_0_616_0,axiom,
    ( member(X1,X2)
    | ~ member(ordered_pair(X1,X2),element_relation) ),
    inference(literals_permutation,[status(thm)],[c_0_616]) ).

cnf(c_0_616_1,axiom,
    ( ~ member(ordered_pair(X1,X2),element_relation)
    | member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_616]) ).

cnf(c_0_617_0,axiom,
    ( member(apply(choice,X1),X1)
    | equalish(X1,null_class)
    | ~ member(X1,universal_class) ),
    inference(literals_permutation,[status(thm)],[c_0_617]) ).

cnf(c_0_617_1,axiom,
    ( equalish(X1,null_class)
    | member(apply(choice,X1),X1)
    | ~ member(X1,universal_class) ),
    inference(literals_permutation,[status(thm)],[c_0_617]) ).

cnf(c_0_617_2,axiom,
    ( ~ member(X1,universal_class)
    | equalish(X1,null_class)
    | member(apply(choice,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_617]) ).

cnf(c_0_618_0,axiom,
    ( member(image(X1,X2),universal_class)
    | ~ member(X2,universal_class)
    | ~ function(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_618]) ).

cnf(c_0_618_1,axiom,
    ( ~ member(X2,universal_class)
    | member(image(X1,X2),universal_class)
    | ~ function(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_618]) ).

cnf(c_0_618_2,axiom,
    ( ~ function(X1)
    | ~ member(X2,universal_class)
    | member(image(X1,X2),universal_class) ),
    inference(literals_permutation,[status(thm)],[c_0_618]) ).

cnf(c_0_619_0,axiom,
    ( equalish(intersection(X1,regular(X1)),null_class)
    | equalish(X1,null_class) ),
    inference(literals_permutation,[status(thm)],[c_0_619]) ).

cnf(c_0_619_1,axiom,
    ( equalish(X1,null_class)
    | equalish(intersection(X1,regular(X1)),null_class) ),
    inference(literals_permutation,[status(thm)],[c_0_619]) ).

cnf(c_0_620_0,axiom,
    ( member(X1,unordered_pair(X1,X2))
    | ~ member(X1,universal_class) ),
    inference(literals_permutation,[status(thm)],[c_0_620]) ).

cnf(c_0_620_1,axiom,
    ( ~ member(X1,universal_class)
    | member(X1,unordered_pair(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_620]) ).

cnf(c_0_621_0,axiom,
    ( member(X1,unordered_pair(X2,X1))
    | ~ member(X1,universal_class) ),
    inference(literals_permutation,[status(thm)],[c_0_621]) ).

cnf(c_0_621_1,axiom,
    ( ~ member(X1,universal_class)
    | member(X1,unordered_pair(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_621]) ).

cnf(c_0_622_0,axiom,
    ( equalish(X1,X2)
    | ~ equalish(X3,X2)
    | ~ equalish(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_622]) ).

cnf(c_0_622_1,axiom,
    ( ~ equalish(X3,X2)
    | equalish(X1,X2)
    | ~ equalish(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_622]) ).

cnf(c_0_622_2,axiom,
    ( ~ equalish(X1,X3)
    | ~ equalish(X3,X2)
    | equalish(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_622]) ).

cnf(c_0_623_0,axiom,
    ( member(X1,X2)
    | ~ member(X3,X2)
    | ~ equalish(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_623]) ).

cnf(c_0_623_1,axiom,
    ( ~ member(X3,X2)
    | member(X1,X2)
    | ~ equalish(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_623]) ).

cnf(c_0_623_2,axiom,
    ( ~ equalish(X3,X1)
    | ~ member(X3,X2)
    | member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_623]) ).

cnf(c_0_624_0,axiom,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ equalish(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_624]) ).

cnf(c_0_624_1,axiom,
    ( ~ member(X1,X3)
    | member(X1,X2)
    | ~ equalish(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_624]) ).

cnf(c_0_624_2,axiom,
    ( ~ equalish(X3,X2)
    | ~ member(X1,X3)
    | member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_624]) ).

cnf(c_0_625_0,axiom,
    ( subclass(X1,X2)
    | ~ subclass(X3,X2)
    | ~ equalish(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_625]) ).

cnf(c_0_625_1,axiom,
    ( ~ subclass(X3,X2)
    | subclass(X1,X2)
    | ~ equalish(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_625]) ).

cnf(c_0_625_2,axiom,
    ( ~ equalish(X3,X1)
    | ~ subclass(X3,X2)
    | subclass(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_625]) ).

cnf(c_0_626_0,axiom,
    ( subclass(X1,X2)
    | ~ subclass(X1,X3)
    | ~ equalish(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_626]) ).

cnf(c_0_626_1,axiom,
    ( ~ subclass(X1,X3)
    | subclass(X1,X2)
    | ~ equalish(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_626]) ).

cnf(c_0_626_2,axiom,
    ( ~ equalish(X3,X2)
    | ~ subclass(X1,X3)
    | subclass(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_626]) ).

cnf(c_0_627_0,axiom,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subclass(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_627]) ).

cnf(c_0_627_1,axiom,
    ( ~ member(X1,X3)
    | member(X1,X2)
    | ~ subclass(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_627]) ).

cnf(c_0_627_2,axiom,
    ( ~ subclass(X3,X2)
    | ~ member(X1,X3)
    | member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_627]) ).

cnf(c_0_628_0,axiom,
    ( equalish(X1,X2)
    | ~ subclass(X2,X1)
    | ~ subclass(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_628]) ).

cnf(c_0_628_1,axiom,
    ( ~ subclass(X2,X1)
    | equalish(X1,X2)
    | ~ subclass(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_628]) ).

cnf(c_0_628_2,axiom,
    ( ~ subclass(X1,X2)
    | ~ subclass(X2,X1)
    | equalish(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_628]) ).

cnf(c_0_629_0,axiom,
    ( subclass(X1,X2)
    | ~ subclass(X3,X2)
    | ~ subclass(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_629]) ).

cnf(c_0_629_1,axiom,
    ( ~ subclass(X3,X2)
    | subclass(X1,X2)
    | ~ subclass(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_629]) ).

cnf(c_0_629_2,axiom,
    ( ~ subclass(X1,X3)
    | ~ subclass(X3,X2)
    | subclass(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_629]) ).

cnf(c_0_630_0,axiom,
    ( subclass(compose(X1,inverse(X1)),identity_relation)
    | ~ single_valued_class(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_630]) ).

cnf(c_0_630_1,axiom,
    ( ~ single_valued_class(X1)
    | subclass(compose(X1,inverse(X1)),identity_relation) ),
    inference(literals_permutation,[status(thm)],[c_0_630]) ).

cnf(c_0_631_0,axiom,
    ( subclass(compose(X1,inverse(X1)),identity_relation)
    | ~ function(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_631]) ).

cnf(c_0_631_1,axiom,
    ( ~ function(X1)
    | subclass(compose(X1,inverse(X1)),identity_relation) ),
    inference(literals_permutation,[status(thm)],[c_0_631]) ).

cnf(c_0_632_0,axiom,
    ( member(X1,X2)
    | member(X1,complement(X2))
    | ~ member(X1,universal_class) ),
    inference(literals_permutation,[status(thm)],[c_0_632]) ).

cnf(c_0_632_1,axiom,
    ( member(X1,complement(X2))
    | member(X1,X2)
    | ~ member(X1,universal_class) ),
    inference(literals_permutation,[status(thm)],[c_0_632]) ).

cnf(c_0_632_2,axiom,
    ( ~ member(X1,universal_class)
    | member(X1,complement(X2))
    | member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_632]) ).

cnf(c_0_633_0,axiom,
    ( ~ member(X1,X2)
    | ~ member(X1,complement(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_633]) ).

cnf(c_0_633_1,axiom,
    ( ~ member(X1,complement(X2))
    | ~ member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_633]) ).

cnf(c_0_634_0,axiom,
    ( subclass(X1,X2)
    | member(not_subclass_element(X1,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_634]) ).

cnf(c_0_634_1,axiom,
    ( member(not_subclass_element(X1,X2),X1)
    | subclass(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_634]) ).

cnf(c_0_635_0,axiom,
    ( equalish(cantor(X1),cantor(X2))
    | ~ equalish(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_635]) ).

cnf(c_0_635_1,axiom,
    ( ~ equalish(X1,X2)
    | equalish(cantor(X1),cantor(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_635]) ).

cnf(c_0_636_0,axiom,
    ( equalish(complement(X1),complement(X2))
    | ~ equalish(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_636]) ).

cnf(c_0_636_1,axiom,
    ( ~ equalish(X1,X2)
    | equalish(complement(X1),complement(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_636]) ).

cnf(c_0_637_0,axiom,
    ( equalish(diagonalise(X1),diagonalise(X2))
    | ~ equalish(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_637]) ).

cnf(c_0_637_1,axiom,
    ( ~ equalish(X1,X2)
    | equalish(diagonalise(X1),diagonalise(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_637]) ).

cnf(c_0_638_0,axiom,
    ( equalish(domain_of(X1),domain_of(X2))
    | ~ equalish(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_638]) ).

cnf(c_0_638_1,axiom,
    ( ~ equalish(X1,X2)
    | equalish(domain_of(X1),domain_of(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_638]) ).

cnf(c_0_639_0,axiom,
    ( equalish(first(X1),first(X2))
    | ~ equalish(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_639]) ).

cnf(c_0_639_1,axiom,
    ( ~ equalish(X1,X2)
    | equalish(first(X1),first(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_639]) ).

cnf(c_0_640_0,axiom,
    ( equalish(flip(X1),flip(X2))
    | ~ equalish(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_640]) ).

cnf(c_0_640_1,axiom,
    ( ~ equalish(X1,X2)
    | equalish(flip(X1),flip(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_640]) ).

cnf(c_0_641_0,axiom,
    ( equalish(inverse(X1),inverse(X2))
    | ~ equalish(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_641]) ).

cnf(c_0_641_1,axiom,
    ( ~ equalish(X1,X2)
    | equalish(inverse(X1),inverse(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_641]) ).

cnf(c_0_642_0,axiom,
    ( equalish(power_class(X1),power_class(X2))
    | ~ equalish(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_642]) ).

cnf(c_0_642_1,axiom,
    ( ~ equalish(X1,X2)
    | equalish(power_class(X1),power_class(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_642]) ).

cnf(c_0_643_0,axiom,
    ( equalish(range_of(X1),range_of(X2))
    | ~ equalish(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_643]) ).

cnf(c_0_643_1,axiom,
    ( ~ equalish(X1,X2)
    | equalish(range_of(X1),range_of(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_643]) ).

cnf(c_0_644_0,axiom,
    ( equalish(regular(X1),regular(X2))
    | ~ equalish(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_644]) ).

cnf(c_0_644_1,axiom,
    ( ~ equalish(X1,X2)
    | equalish(regular(X1),regular(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_644]) ).

cnf(c_0_645_0,axiom,
    ( equalish(rotate(X1),rotate(X2))
    | ~ equalish(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_645]) ).

cnf(c_0_645_1,axiom,
    ( ~ equalish(X1,X2)
    | equalish(rotate(X1),rotate(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_645]) ).

cnf(c_0_646_0,axiom,
    ( equalish(second(X1),second(X2))
    | ~ equalish(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_646]) ).

cnf(c_0_646_1,axiom,
    ( ~ equalish(X1,X2)
    | equalish(second(X1),second(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_646]) ).

cnf(c_0_647_0,axiom,
    ( equalish(singleton(X1),singleton(X2))
    | ~ equalish(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_647]) ).

cnf(c_0_647_1,axiom,
    ( ~ equalish(X1,X2)
    | equalish(singleton(X1),singleton(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_647]) ).

cnf(c_0_648_0,axiom,
    ( equalish(successor(X1),successor(X2))
    | ~ equalish(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_648]) ).

cnf(c_0_648_1,axiom,
    ( ~ equalish(X1,X2)
    | equalish(successor(X1),successor(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_648]) ).

cnf(c_0_649_0,axiom,
    ( equalish(sum_class(X1),sum_class(X2))
    | ~ equalish(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_649]) ).

cnf(c_0_649_1,axiom,
    ( ~ equalish(X1,X2)
    | equalish(sum_class(X1),sum_class(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_649]) ).

cnf(c_0_650_0,axiom,
    ( subclass(range_of(X1),domain_of(domain_of(X1)))
    | ~ operation(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_650]) ).

cnf(c_0_650_1,axiom,
    ( ~ operation(X1)
    | subclass(range_of(X1),domain_of(domain_of(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_650]) ).

cnf(c_0_651_0,axiom,
    ( subclass(image(successor_relation,X1),X1)
    | ~ inductive(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_651]) ).

cnf(c_0_651_1,axiom,
    ( ~ inductive(X1)
    | subclass(image(successor_relation,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_651]) ).

cnf(c_0_652_0,axiom,
    ( subclass(X1,cross_product(universal_class,universal_class))
    | ~ function(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_652]) ).

cnf(c_0_652_1,axiom,
    ( ~ function(X1)
    | subclass(X1,cross_product(universal_class,universal_class)) ),
    inference(literals_permutation,[status(thm)],[c_0_652]) ).

cnf(c_0_653_0,axiom,
    ( member(sum_class(X1),universal_class)
    | ~ member(X1,universal_class) ),
    inference(literals_permutation,[status(thm)],[c_0_653]) ).

cnf(c_0_653_1,axiom,
    ( ~ member(X1,universal_class)
    | member(sum_class(X1),universal_class) ),
    inference(literals_permutation,[status(thm)],[c_0_653]) ).

cnf(c_0_654_0,axiom,
    ( member(power_class(X1),universal_class)
    | ~ member(X1,universal_class) ),
    inference(literals_permutation,[status(thm)],[c_0_654]) ).

cnf(c_0_654_1,axiom,
    ( ~ member(X1,universal_class)
    | member(power_class(X1),universal_class) ),
    inference(literals_permutation,[status(thm)],[c_0_654]) ).

cnf(c_0_655_0,axiom,
    ( equalish(X1,X2)
    | ~ equalish(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_655]) ).

cnf(c_0_655_1,axiom,
    ( ~ equalish(X2,X1)
    | equalish(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_655]) ).

cnf(c_0_656_0,axiom,
    ( subclass(X1,X2)
    | ~ equalish(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_656]) ).

cnf(c_0_656_1,axiom,
    ( ~ equalish(X1,X2)
    | subclass(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_656]) ).

cnf(c_0_657_0,axiom,
    ( subclass(X1,X2)
    | ~ equalish(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_657]) ).

cnf(c_0_657_1,axiom,
    ( ~ equalish(X2,X1)
    | subclass(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_657]) ).

cnf(c_0_658_0,axiom,
    ( function(X1)
    | ~ function(X2)
    | ~ equalish(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_658]) ).

cnf(c_0_658_1,axiom,
    ( ~ function(X2)
    | function(X1)
    | ~ equalish(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_658]) ).

cnf(c_0_658_2,axiom,
    ( ~ equalish(X2,X1)
    | ~ function(X2)
    | function(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_658]) ).

cnf(c_0_659_0,axiom,
    ( inductive(X1)
    | ~ inductive(X2)
    | ~ equalish(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_659]) ).

cnf(c_0_659_1,axiom,
    ( ~ inductive(X2)
    | inductive(X1)
    | ~ equalish(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_659]) ).

cnf(c_0_659_2,axiom,
    ( ~ equalish(X2,X1)
    | ~ inductive(X2)
    | inductive(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_659]) ).

cnf(c_0_660_0,axiom,
    ( one_to_one(X1)
    | ~ one_to_one(X2)
    | ~ equalish(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_660]) ).

cnf(c_0_660_1,axiom,
    ( ~ one_to_one(X2)
    | one_to_one(X1)
    | ~ equalish(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_660]) ).

cnf(c_0_660_2,axiom,
    ( ~ equalish(X2,X1)
    | ~ one_to_one(X2)
    | one_to_one(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_660]) ).

cnf(c_0_661_0,axiom,
    ( operation(X1)
    | ~ operation(X2)
    | ~ equalish(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_661]) ).

cnf(c_0_661_1,axiom,
    ( ~ operation(X2)
    | operation(X1)
    | ~ equalish(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_661]) ).

cnf(c_0_661_2,axiom,
    ( ~ equalish(X2,X1)
    | ~ operation(X2)
    | operation(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_661]) ).

cnf(c_0_662_0,axiom,
    ( single_valued_class(X1)
    | ~ single_valued_class(X2)
    | ~ equalish(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_662]) ).

cnf(c_0_662_1,axiom,
    ( ~ single_valued_class(X2)
    | single_valued_class(X1)
    | ~ equalish(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_662]) ).

cnf(c_0_662_2,axiom,
    ( ~ equalish(X2,X1)
    | ~ single_valued_class(X2)
    | single_valued_class(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_662]) ).

cnf(c_0_663_0,axiom,
    ( member(regular(X1),X1)
    | equalish(X1,null_class) ),
    inference(literals_permutation,[status(thm)],[c_0_663]) ).

cnf(c_0_663_1,axiom,
    ( equalish(X1,null_class)
    | member(regular(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_663]) ).

cnf(c_0_664_0,axiom,
    ( one_to_one(X1)
    | ~ function(X1)
    | ~ function(inverse(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_664]) ).

cnf(c_0_664_1,axiom,
    ( ~ function(X1)
    | one_to_one(X1)
    | ~ function(inverse(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_664]) ).

cnf(c_0_664_2,axiom,
    ( ~ function(inverse(X1))
    | ~ function(X1)
    | one_to_one(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_664]) ).

cnf(c_0_665_0,axiom,
    ( member(null_class,X1)
    | ~ inductive(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_665]) ).

cnf(c_0_665_1,axiom,
    ( ~ inductive(X1)
    | member(null_class,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_665]) ).

cnf(c_0_666_0,axiom,
    ( subclass(omega,X1)
    | ~ inductive(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_666]) ).

cnf(c_0_666_1,axiom,
    ( ~ inductive(X1)
    | subclass(omega,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_666]) ).

cnf(c_0_667_0,axiom,
    ( function(inverse(X1))
    | ~ one_to_one(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_667]) ).

cnf(c_0_667_1,axiom,
    ( ~ one_to_one(X1)
    | function(inverse(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_667]) ).

cnf(c_0_668_0,axiom,
    ( function(X1)
    | ~ one_to_one(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_668]) ).

cnf(c_0_668_1,axiom,
    ( ~ one_to_one(X1)
    | function(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_668]) ).

cnf(c_0_669_0,axiom,
    ( function(X1)
    | ~ operation(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_669]) ).

cnf(c_0_669_1,axiom,
    ( ~ operation(X1)
    | function(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_669]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_151,negated_conjecture,
    ~ equalish(x,x),
    file('<stdin>',prove_reflexivity) ).

fof(c_0_1_152,negated_conjecture,
    ~ equalish(x,x),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_2_153,negated_conjecture,
    ~ equalish(x,x),
    c_0_1 ).

cnf(c_0_3_154,negated_conjecture,
    ~ equalish(x,x),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_155,negated_conjecture,
    ~ equalish(x,x),
    c_0_3,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_343,negated_conjecture,
    ~ equalish(x,x),
    file('/export/starexec/sandbox/tmp/iprover_modulo_0eda67.p',c_0_4) ).

cnf(c_449,negated_conjecture,
    ~ equalish(x,x),
    inference(copy,[status(esa)],[c_343]) ).

cnf(c_453,negated_conjecture,
    ~ equalish(x,x),
    inference(copy,[status(esa)],[c_449]) ).

cnf(c_454,negated_conjecture,
    ~ equalish(x,x),
    inference(copy,[status(esa)],[c_453]) ).

cnf(c_455,negated_conjecture,
    ~ equalish(x,x),
    inference(copy,[status(esa)],[c_454]) ).

cnf(c_1486,negated_conjecture,
    ~ equalish(x,x),
    inference(copy,[status(esa)],[c_455]) ).

cnf(c_220,plain,
    ( ~ subclass(X0,X1)
    | ~ subclass(X1,X0)
    | equalish(X0,X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_0eda67.p',c_0_628_0) ).

cnf(c_1240,plain,
    ( ~ subclass(X0,X1)
    | ~ subclass(X1,X0)
    | equalish(X0,X1) ),
    inference(copy,[status(esa)],[c_220]) ).

cnf(c_1241,plain,
    ( equalish(X0,X1)
    | ~ subclass(X0,X1)
    | ~ subclass(X1,X0) ),
    inference(rewriting,[status(thm)],[c_1240]) ).

cnf(c_1490,plain,
    ~ subclass(x,x),
    inference(resolution,[status(thm)],[c_1486,c_1241]) ).

cnf(c_1493,plain,
    ~ subclass(x,x),
    inference(rewriting,[status(thm)],[c_1490]) ).

cnf(c_331,plain,
    subclass(X0,X0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_0eda67.p',c_0_131_0) ).

cnf(c_1462,plain,
    subclass(X0,X0),
    inference(copy,[status(esa)],[c_331]) ).

cnf(c_1501,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_1493,c_1462]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET055-7 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.35  % Computer : n010.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sat Jul  9 19:46:01 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running in mono-core mode
% 0.21/0.44  % Orienting using strategy Equiv(ClausalAll)
% 0.21/0.44  % Orientation found
% 0.21/0.44  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_a2017c.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_0eda67.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_46700c | grep -v "SZS"
% 0.21/0.46  
% 0.21/0.46  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.46  
% 0.21/0.46  % 
% 0.21/0.46  % ------  iProver source info 
% 0.21/0.46  
% 0.21/0.46  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.46  % git: non_committed_changes: true
% 0.21/0.46  % git: last_make_outside_of_git: true
% 0.21/0.46  
% 0.21/0.46  % 
% 0.21/0.46  % ------ Input Options
% 0.21/0.46  
% 0.21/0.46  % --out_options                         all
% 0.21/0.46  % --tptp_safe_out                       true
% 0.21/0.46  % --problem_path                        ""
% 0.21/0.46  % --include_path                        ""
% 0.21/0.46  % --clausifier                          .//eprover
% 0.21/0.46  % --clausifier_options                  --tstp-format  
% 0.21/0.46  % --stdin                               false
% 0.21/0.46  % --dbg_backtrace                       false
% 0.21/0.46  % --dbg_dump_prop_clauses               false
% 0.21/0.46  % --dbg_dump_prop_clauses_file          -
% 0.21/0.46  % --dbg_out_stat                        false
% 0.21/0.46  
% 0.21/0.46  % ------ General Options
% 0.21/0.46  
% 0.21/0.46  % --fof                                 false
% 0.21/0.46  % --time_out_real                       150.
% 0.21/0.46  % --time_out_prep_mult                  0.2
% 0.21/0.46  % --time_out_virtual                    -1.
% 0.21/0.46  % --schedule                            none
% 0.21/0.46  % --ground_splitting                    input
% 0.21/0.46  % --splitting_nvd                       16
% 0.21/0.46  % --non_eq_to_eq                        false
% 0.21/0.46  % --prep_gs_sim                         true
% 0.21/0.46  % --prep_unflatten                      false
% 0.21/0.46  % --prep_res_sim                        true
% 0.21/0.46  % --prep_upred                          true
% 0.21/0.46  % --res_sim_input                       true
% 0.21/0.46  % --clause_weak_htbl                    true
% 0.21/0.46  % --gc_record_bc_elim                   false
% 0.21/0.46  % --symbol_type_check                   false
% 0.21/0.46  % --clausify_out                        false
% 0.21/0.46  % --large_theory_mode                   false
% 0.21/0.46  % --prep_sem_filter                     none
% 0.21/0.46  % --prep_sem_filter_out                 false
% 0.21/0.46  % --preprocessed_out                    false
% 0.21/0.46  % --sub_typing                          false
% 0.21/0.46  % --brand_transform                     false
% 0.21/0.46  % --pure_diseq_elim                     true
% 0.21/0.46  % --min_unsat_core                      false
% 0.21/0.46  % --pred_elim                           true
% 0.21/0.46  % --add_important_lit                   false
% 0.21/0.46  % --soft_assumptions                    false
% 0.21/0.46  % --reset_solvers                       false
% 0.21/0.46  % --bc_imp_inh                          []
% 0.21/0.46  % --conj_cone_tolerance                 1.5
% 0.21/0.46  % --prolific_symb_bound                 500
% 0.21/0.46  % --lt_threshold                        2000
% 0.21/0.46  
% 0.21/0.46  % ------ SAT Options
% 0.21/0.46  
% 0.21/0.46  % --sat_mode                            false
% 0.21/0.46  % --sat_fm_restart_options              ""
% 0.21/0.46  % --sat_gr_def                          false
% 0.21/0.46  % --sat_epr_types                       true
% 0.21/0.46  % --sat_non_cyclic_types                false
% 0.21/0.46  % --sat_finite_models                   false
% 0.21/0.46  % --sat_fm_lemmas                       false
% 0.21/0.46  % --sat_fm_prep                         false
% 0.21/0.46  % --sat_fm_uc_incr                      true
% 0.21/0.46  % --sat_out_model                       small
% 0.21/0.46  % --sat_out_clauses                     false
% 0.21/0.46  
% 0.21/0.46  % ------ QBF Options
% 0.21/0.46  
% 0.21/0.46  % --qbf_mode                            false
% 0.21/0.46  % --qbf_elim_univ                       true
% 0.21/0.46  % --qbf_sk_in                           true
% 0.21/0.46  % --qbf_pred_elim                       true
% 0.21/0.46  % --qbf_split                           32
% 0.21/0.46  
% 0.21/0.46  % ------ BMC1 Options
% 0.21/0.46  
% 0.21/0.46  % --bmc1_incremental                    false
% 0.21/0.46  % --bmc1_axioms                         reachable_all
% 0.21/0.46  % --bmc1_min_bound                      0
% 0.21/0.46  % --bmc1_max_bound                      -1
% 0.21/0.46  % --bmc1_max_bound_default              -1
% 0.21/0.46  % --bmc1_symbol_reachability            true
% 0.21/0.46  % --bmc1_property_lemmas                false
% 0.21/0.46  % --bmc1_k_induction                    false
% 0.21/0.46  % --bmc1_non_equiv_states               false
% 0.21/0.46  % --bmc1_deadlock                       false
% 0.21/0.46  % --bmc1_ucm                            false
% 0.21/0.46  % --bmc1_add_unsat_core                 none
% 0.21/0.46  % --bmc1_unsat_core_children            false
% 0.21/0.46  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.21/0.46  % --bmc1_out_stat                       full
% 0.21/0.46  % --bmc1_ground_init                    false
% 0.21/0.46  % --bmc1_pre_inst_next_state            false
% 0.21/0.46  % --bmc1_pre_inst_state                 false
% 0.21/0.46  % --bmc1_pre_inst_reach_state           false
% 0.21/0.46  % --bmc1_out_unsat_core                 false
% 0.21/0.46  % --bmc1_aig_witness_out                false
% 0.21/0.46  % --bmc1_verbose                        false
% 0.21/0.46  % --bmc1_dump_clauses_tptp              false
% 0.21/0.50  % --bmc1_dump_unsat_core_tptp           false
% 0.21/0.50  % --bmc1_dump_file                      -
% 0.21/0.50  % --bmc1_ucm_expand_uc_limit            128
% 0.21/0.50  % --bmc1_ucm_n_expand_iterations        6
% 0.21/0.50  % --bmc1_ucm_extend_mode                1
% 0.21/0.50  % --bmc1_ucm_init_mode                  2
% 0.21/0.50  % --bmc1_ucm_cone_mode                  none
% 0.21/0.50  % --bmc1_ucm_reduced_relation_type      0
% 0.21/0.50  % --bmc1_ucm_relax_model                4
% 0.21/0.50  % --bmc1_ucm_full_tr_after_sat          true
% 0.21/0.50  % --bmc1_ucm_expand_neg_assumptions     false
% 0.21/0.50  % --bmc1_ucm_layered_model              none
% 0.21/0.50  % --bmc1_ucm_max_lemma_size             10
% 0.21/0.50  
% 0.21/0.50  % ------ AIG Options
% 0.21/0.50  
% 0.21/0.50  % --aig_mode                            false
% 0.21/0.50  
% 0.21/0.50  % ------ Instantiation Options
% 0.21/0.50  
% 0.21/0.50  % --instantiation_flag                  true
% 0.21/0.50  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.50  % --inst_solver_per_active              750
% 0.21/0.50  % --inst_solver_calls_frac              0.5
% 0.21/0.50  % --inst_passive_queue_type             priority_queues
% 0.21/0.50  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.50  % --inst_passive_queues_freq            [25;2]
% 0.21/0.50  % --inst_dismatching                    true
% 0.21/0.50  % --inst_eager_unprocessed_to_passive   true
% 0.21/0.50  % --inst_prop_sim_given                 true
% 0.21/0.50  % --inst_prop_sim_new                   false
% 0.21/0.50  % --inst_orphan_elimination             true
% 0.21/0.50  % --inst_learning_loop_flag             true
% 0.21/0.50  % --inst_learning_start                 3000
% 0.21/0.50  % --inst_learning_factor                2
% 0.21/0.50  % --inst_start_prop_sim_after_learn     3
% 0.21/0.50  % --inst_sel_renew                      solver
% 0.21/0.50  % --inst_lit_activity_flag              true
% 0.21/0.50  % --inst_out_proof                      true
% 0.21/0.50  
% 0.21/0.50  % ------ Resolution Options
% 0.21/0.50  
% 0.21/0.50  % --resolution_flag                     true
% 0.21/0.50  % --res_lit_sel                         kbo_max
% 0.21/0.50  % --res_to_prop_solver                  none
% 0.21/0.50  % --res_prop_simpl_new                  false
% 0.21/0.50  % --res_prop_simpl_given                false
% 0.21/0.50  % --res_passive_queue_type              priority_queues
% 0.21/0.50  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.21/0.50  % --res_passive_queues_freq             [15;5]
% 0.21/0.50  % --res_forward_subs                    full
% 0.21/0.50  % --res_backward_subs                   full
% 0.21/0.50  % --res_forward_subs_resolution         true
% 0.21/0.50  % --res_backward_subs_resolution        true
% 0.21/0.50  % --res_orphan_elimination              false
% 0.21/0.50  % --res_time_limit                      1000.
% 0.21/0.50  % --res_out_proof                       true
% 0.21/0.50  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_a2017c.s
% 0.21/0.50  % --modulo                              true
% 0.21/0.50  
% 0.21/0.50  % ------ Combination Options
% 0.21/0.50  
% 0.21/0.50  % --comb_res_mult                       1000
% 0.21/0.50  % --comb_inst_mult                      300
% 0.21/0.50  % ------ 
% 0.21/0.50  
% 0.21/0.50  % ------ Parsing...% successful
% 0.21/0.50  
% 0.21/0.50  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.21/0.50  
% 0.21/0.50  % ------ Proving...
% 0.21/0.50  % ------ Problem Properties 
% 0.21/0.50  
% 0.21/0.50  % 
% 0.21/0.50  % EPR                                   false
% 0.21/0.50  % Horn                                  false
% 0.21/0.50  % Has equality                          false
% 0.21/0.50  
% 0.21/0.50  % % ------ Input Options Time Limit: Unbounded
% 0.21/0.50  
% 0.21/0.50  
% 0.21/0.50  % % ------ Current options:
% 0.21/0.50  
% 0.21/0.50  % ------ Input Options
% 0.21/0.50  
% 0.21/0.50  % --out_options                         all
% 0.21/0.50  % --tptp_safe_out                       true
% 0.21/0.50  % --problem_path                        ""
% 0.21/0.50  % --include_path                        ""
% 0.21/0.50  % --clausifier                          .//eprover
% 0.21/0.50  % --clausifier_options                  --tstp-format  
% 0.21/0.50  % --stdin                               false
% 0.21/0.50  % --dbg_backtrace                       false
% 0.21/0.50  % --dbg_dump_prop_clauses               false
% 0.21/0.50  % --dbg_dump_prop_clauses_file          -
% 0.21/0.50  % --dbg_out_stat                        false
% 0.21/0.50  
% 0.21/0.50  % ------ General Options
% 0.21/0.50  
% 0.21/0.50  % --fof                                 false
% 0.21/0.50  % --time_out_real                       150.
% 0.21/0.50  % --time_out_prep_mult                  0.2
% 0.21/0.50  % --time_out_virtual                    -1.
% 0.21/0.50  % --schedule                            none
% 0.21/0.50  % --ground_splitting                    input
% 0.21/0.50  % --splitting_nvd                       16
% 0.21/0.50  % --non_eq_to_eq                        false
% 0.21/0.50  % --prep_gs_sim                         true
% 0.21/0.50  % --prep_unflatten                      false
% 0.21/0.50  % --prep_res_sim                        true
% 0.21/0.50  % --prep_upred                          true
% 0.21/0.50  % --res_sim_input                       true
% 0.21/0.50  % --clause_weak_htbl                    true
% 0.21/0.50  % --gc_record_bc_elim                   false
% 0.21/0.50  % --symbol_type_check                   false
% 0.21/0.50  % --clausify_out                        false
% 0.21/0.50  % --large_theory_mode                   false
% 0.21/0.50  % --prep_sem_filter                     none
% 0.21/0.50  % --prep_sem_filter_out                 false
% 0.21/0.50  % --preprocessed_out                    false
% 0.21/0.50  % --sub_typing                          false
% 0.21/0.50  % --brand_transform                     false
% 0.21/0.50  % --pure_diseq_elim                     true
% 0.21/0.50  % --min_unsat_core                      false
% 0.21/0.50  % --pred_elim                           true
% 0.21/0.50  % --add_important_lit                   false
% 0.21/0.50  % --soft_assumptions                    false
% 0.21/0.50  % --reset_solvers                       false
% 0.21/0.50  % --bc_imp_inh                          []
% 0.21/0.50  % --conj_cone_tolerance                 1.5
% 0.21/0.50  % --prolific_symb_bound                 500
% 0.21/0.50  % --lt_threshold                        2000
% 0.21/0.50  
% 0.21/0.50  % ------ SAT Options
% 0.21/0.50  
% 0.21/0.50  % --sat_mode                            false
% 0.21/0.50  % --sat_fm_restart_options              ""
% 0.21/0.50  % --sat_gr_def                          false
% 0.21/0.50  % --sat_epr_types                       true
% 0.21/0.50  % --sat_non_cyclic_types                false
% 0.21/0.50  % --sat_finite_models                   false
% 0.21/0.50  % --sat_fm_lemmas                       false
% 0.21/0.50  % --sat_fm_prep                         false
% 0.21/0.50  % --sat_fm_uc_incr                      true
% 0.21/0.50  % --sat_out_model                       small
% 0.21/0.50  % --sat_out_clauses                     false
% 0.21/0.50  
% 0.21/0.50  % ------ QBF Options
% 0.21/0.50  
% 0.21/0.50  % --qbf_mode                            false
% 0.21/0.50  % --qbf_elim_univ                       true
% 0.21/0.50  % --qbf_sk_in                           true
% 0.21/0.50  % --qbf_pred_elim                       true
% 0.21/0.50  % --qbf_split                           32
% 0.21/0.50  
% 0.21/0.50  % ------ BMC1 Options
% 0.21/0.50  
% 0.21/0.50  % --bmc1_incremental                    false
% 0.21/0.50  % --bmc1_axioms                         reachable_all
% 0.21/0.50  % --bmc1_min_bound                      0
% 0.21/0.50  % --bmc1_max_bound                      -1
% 0.21/0.50  % --bmc1_max_bound_default              -1
% 0.21/0.50  % --bmc1_symbol_reachability            true
% 0.21/0.50  % --bmc1_property_lemmas                false
% 0.21/0.50  % --bmc1_k_induction                    false
% 0.21/0.50  % --bmc1_non_equiv_states               false
% 0.21/0.50  % --bmc1_deadlock                       false
% 0.21/0.50  % --bmc1_ucm                            false
% 0.21/0.50  % --bmc1_add_unsat_core                 none
% 0.21/0.50  % --bmc1_unsat_core_children            false
% 0.21/0.50  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.21/0.50  % --bmc1_out_stat                       full
% 0.21/0.50  % --bmc1_ground_init                    false
% 0.21/0.50  % --bmc1_pre_inst_next_state            false
% 0.21/0.50  % --bmc1_pre_inst_state                 false
% 0.21/0.50  % --bmc1_pre_inst_reach_state           false
% 0.21/0.50  % --bmc1_out_unsat_core                 false
% 0.21/0.50  % --bmc1_aig_witness_out                false
% 0.21/0.50  % --bmc1_verbose                        false
% 0.21/0.50  % --bmc1_dump_clauses_tptp              false
% 0.21/0.50  % --bmc1_dump_unsat_core_tptp           false
% 0.21/0.50  % --bmc1_dump_file                      -
% 0.21/0.50  % --bmc1_ucm_expand_uc_limit            128
% 0.21/0.50  % --bmc1_ucm_n_expand_iterations        6
% 0.21/0.50  % --bmc1_ucm_extend_mode                1
% 0.21/0.50  % --bmc1_ucm_init_mode                  2
% 0.21/0.50  % --bmc1_ucm_cone_mode                  none
% 0.21/0.50  % --bmc1_ucm_reduced_relation_type      0
% 0.21/0.50  % --bmc1_ucm_relax_model                4
% 0.21/0.50  % --bmc1_ucm_full_tr_after_sat          true
% 0.21/0.50  % --bmc1_ucm_expand_neg_assumptions     false
% 0.21/0.50  % --bmc1_ucm_layered_model              none
% 0.21/0.50  % --bmc1_ucm_max_lemma_size             10
% 0.21/0.50  
% 0.21/0.50  % ------ AIG Options
% 0.21/0.50  
% 0.21/0.50  % --aig_mode                            false
% 0.21/0.50  
% 0.21/0.50  % ------ Instantiation Options
% 0.21/0.50  
% 0.21/0.50  % --instantiation_flag                  true
% 0.21/0.50  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.50  % --inst_solver_per_active              750
% 0.21/0.50  % --inst_solver_calls_frac              0.5
% 0.21/0.50  % --inst_passive_queue_type             priority_queues
% 0.21/0.50  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.50  % --inst_passive_queues_freq            [25;2]
% 0.21/0.50  % --inst_dismatching                    true
% 0.21/0.50  % --inst_eager_unprocessed_to_passive   true
% 0.21/0.50  % --inst_prop_sim_given                 true
% 0.21/0.50  % --inst_prop_sim_new                   false
% 0.21/0.50  % --inst_orphan_elimination             true
% 0.21/0.50  % --inst_learning_loop_flag             true
% 0.21/0.50  % --inst_learning_start                 3000
% 0.21/0.50  % --inst_learning_factor                2
% 0.21/0.50  % --inst_start_prop_sim_after_learn     3
% 0.21/0.50  % --inst_sel_renew                      solver
% 0.21/0.50  % --inst_lit_activity_flag              true
% 0.21/0.50  % --inst_out_proof                      true
% 0.21/0.50  
% 0.21/0.50  % ------ Resolution Options
% 0.21/0.50  
% 0.21/0.50  % --resolution_flag                     true
% 0.21/0.50  % --res_lit_sel                         kbo_max
% 0.21/0.50  % --res_to_prop_solver                  none
% 0.21/0.50  % --res_prop_simpl_new                  false
% 0.21/0.50  % --res_prop_simpl_given                false
% 0.21/0.50  % --res_passive_queue_type              priority_queues
% 0.21/0.50  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.21/0.50  % --res_passive_queues_freq             [15;5]
% 0.21/0.50  % --res_forward_subs                    full
% 0.21/0.50  % --res_backward_subs                   full
% 0.21/0.50  % --res_forward_subs_resolution         true
% 0.21/0.50  % --res_backward_subs_resolution        true
% 0.21/0.50  % --res_orphan_elimination              false
% 0.21/0.50  % --res_time_limit                      1000.
% 0.21/0.50  % --res_out_proof                       true
% 0.21/0.50  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_a2017c.s
% 0.21/0.50  % --modulo                              true
% 0.21/0.50  
% 0.21/0.50  % ------ Combination Options
% 0.21/0.50  
% 0.21/0.50  % --comb_res_mult                       1000
% 0.21/0.50  % --comb_inst_mult                      300
% 0.21/0.50  % ------ 
% 0.21/0.50  
% 0.21/0.50  
% 0.21/0.50  
% 0.21/0.50  % ------ Proving...
% 0.21/0.50  % 
% 0.21/0.50  
% 0.21/0.50  
% 0.21/0.50  %  Resolution empty clause
% 0.21/0.50  
% 0.21/0.50  % ------                             Statistics
% 0.21/0.50  
% 0.21/0.50  % ------ General
% 0.21/0.50  
% 0.21/0.50  % num_of_input_clauses:                 344
% 0.21/0.50  % num_of_input_neg_conjectures:         1
% 0.21/0.50  % num_of_splits:                        0
% 0.21/0.50  % num_of_split_atoms:                   0
% 0.21/0.50  % num_of_sem_filtered_clauses:          0
% 0.21/0.50  % num_of_subtypes:                      0
% 0.21/0.50  % monotx_restored_types:                0
% 0.21/0.50  % sat_num_of_epr_types:                 0
% 0.21/0.50  % sat_num_of_non_cyclic_types:          0
% 0.21/0.50  % sat_guarded_non_collapsed_types:      0
% 0.21/0.50  % is_epr:                               0
% 0.21/0.50  % is_horn:                              0
% 0.21/0.50  % has_eq:                               0
% 0.21/0.50  % num_pure_diseq_elim:                  0
% 0.21/0.50  % simp_replaced_by:                     0
% 0.21/0.50  % res_preprocessed:                     2
% 0.21/0.50  % prep_upred:                           0
% 0.21/0.50  % prep_unflattend:                      0
% 0.21/0.50  % pred_elim_cands:                      0
% 0.21/0.50  % pred_elim:                            0
% 0.21/0.50  % pred_elim_cl:                         0
% 0.21/0.50  % pred_elim_cycles:                     0
% 0.21/0.50  % forced_gc_time:                       0
% 0.21/0.50  % gc_basic_clause_elim:                 0
% 0.21/0.50  % parsing_time:                         0.013
% 0.21/0.50  % sem_filter_time:                      0.
% 0.21/0.50  % pred_elim_time:                       0.
% 0.21/0.50  % out_proof_time:                       0.
% 0.21/0.50  % monotx_time:                          0.
% 0.21/0.50  % subtype_inf_time:                     0.
% 0.21/0.50  % unif_index_cands_time:                0.
% 0.21/0.50  % unif_index_add_time:                  0.
% 0.21/0.50  % total_time:                           0.051
% 0.21/0.50  % num_of_symbols:                       74
% 0.21/0.50  % num_of_terms:                         864
% 0.21/0.50  
% 0.21/0.50  % ------ Propositional Solver
% 0.21/0.50  
% 0.21/0.50  % prop_solver_calls:                    1
% 0.21/0.50  % prop_fast_solver_calls:               3
% 0.21/0.50  % prop_num_of_clauses:                  351
% 0.21/0.50  % prop_preprocess_simplified:           1017
% 0.21/0.50  % prop_fo_subsumed:                     0
% 0.21/0.50  % prop_solver_time:                     0.
% 0.21/0.50  % prop_fast_solver_time:                0.
% 0.21/0.50  % prop_unsat_core_time:                 0.
% 0.21/0.50  
% 0.21/0.50  % ------ QBF 
% 0.21/0.50  
% 0.21/0.50  % qbf_q_res:                            0
% 0.21/0.50  % qbf_num_tautologies:                  0
% 0.21/0.50  % qbf_prep_cycles:                      0
% 0.21/0.50  
% 0.21/0.50  % ------ BMC1
% 0.21/0.50  
% 0.21/0.50  % bmc1_current_bound:                   -1
% 0.21/0.50  % bmc1_last_solved_bound:               -1
% 0.21/0.50  % bmc1_unsat_core_size:                 -1
% 0.21/0.50  % bmc1_unsat_core_parents_size:         -1
% 0.21/0.50  % bmc1_merge_next_fun:                  0
% 0.21/0.50  % bmc1_unsat_core_clauses_time:         0.
% 0.21/0.50  
% 0.21/0.50  % ------ Instantiation
% 0.21/0.50  
% 0.21/0.50  % inst_num_of_clauses:                  344
% 0.21/0.50  % inst_num_in_passive:                  0
% 0.21/0.50  % inst_num_in_active:                   0
% 0.21/0.50  % inst_num_in_unprocessed:              344
% 0.21/0.50  % inst_num_of_loops:                    0
% 0.21/0.50  % inst_num_of_learning_restarts:        0
% 0.21/0.50  % inst_num_moves_active_passive:        0
% 0.21/0.50  % inst_lit_activity:                    0
% 0.21/0.50  % inst_lit_activity_moves:              0
% 0.21/0.50  % inst_num_tautologies:                 0
% 0.21/0.50  % inst_num_prop_implied:                0
% 0.21/0.50  % inst_num_existing_simplified:         0
% 0.21/0.50  % inst_num_eq_res_simplified:           0
% 0.21/0.50  % inst_num_child_elim:                  0
% 0.21/0.50  % inst_num_of_dismatching_blockings:    0
% 0.21/0.50  % inst_num_of_non_proper_insts:         0
% 0.21/0.50  % inst_num_of_duplicates:               0
% 0.21/0.50  % inst_inst_num_from_inst_to_res:       0
% 0.21/0.50  % inst_dismatching_checking_time:       0.
% 0.21/0.50  
% 0.21/0.50  % ------ Resolution
% 0.21/0.50  
% 0.21/0.50  % res_num_of_clauses:                   365
% 0.21/0.50  % res_num_in_passive:                   2
% 0.21/0.50  % res_num_in_active:                    192
% 0.21/0.50  % res_num_of_loops:                     2
% 0.21/0.50  % res_forward_subset_subsumed:          154
% 0.21/0.50  % res_backward_subset_subsumed:         0
% 0.21/0.50  % res_forward_subsumed:                 0
% 0.21/0.50  % res_backward_subsumed:                0
% 0.21/0.50  % res_forward_subsumption_resolution:   1
% 0.21/0.50  % res_backward_subsumption_resolution:  0
% 0.21/0.50  % res_clause_to_clause_subsumption:     1
% 0.21/0.50  % res_orphan_elimination:               0
% 0.21/0.50  % res_tautology_del:                    0
% 0.21/0.50  % res_num_eq_res_simplified:            0
% 0.21/0.50  % res_num_sel_changes:                  0
% 0.21/0.50  % res_moves_from_active_to_pass:        0
% 0.21/0.50  
% 0.21/0.50  % Status Unsatisfiable
% 0.21/0.50  % SZS status Unsatisfiable
% 0.21/0.50  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------