init: 0.428sec
norm: 0.252sec
prop: 0.008sec
nb of constant: 705
nb of subterms: 0
nb_prop: 1092
Property of 1 constant: 
21: (!V4, (!V1, (!V3, (!V2, ((V4 V1) | (?V1, (?V0, (~ (V4 ((((C0 V3) V2) V1) V0))))))))))
  'none/function_space_ind' 'none/iff_rect' 'none/iff_rec' 'none/And_rect1' 'none/function_space1_ind' 'none/monomorphism_rec' 'none/sigma_rec' 'none/function_space_rec' 'none/And_ind' 'none/And_rect' 'none/And_rec1' 'none/function_space1_rec' 'none/iff_ind' 'none/And_ind1' 'none/monomorphism_rect' 'none/function_space_rect' 'none/monomorphism_ind' 'none/sigma_rect' 'none/And_rec' 'none/sigma_ind' 'none/function_space1_rect'
18: (!V2, (!V3, ((V2 V3) | (?V1, (?V0, (~ (V2 ((C0 V1) V0))))))))
  'none/convergent_generated_topology_ind' 'none/Magma_rec' 'none/Monoid_rec' 'none/PreMonoid_rec' 'none/SemiGroup_ind' 'none/Group_ind' 'none/PreMonoid_rect' 'none/Magma_rect' 'none/convergent_generated_topology_rec' 'none/Monoid_rect' 'none/Group_rect' 'none/SemiGroup_rec' 'none/Magma_ind' 'none/SemiGroup_rect' 'none/Monoid_ind' 'none/PreMonoid_ind' 'none/Group_rec' 'none/convergent_generated_topology_rect'
13: C0
  'none/E' 'none/D' 'none/daemon' 'none/R00' 'none/daemon1' 'none/daemon0' 'none/Q10' 'none/QO' 'none/R1' 'none/C0' 'none/foo' 'none/B0' 'none/A0'
13: (D$true | (~ C0))
  'none/carr' 'none/Type_OF_SemiGroup' 'none/Type_OF_finType' 'none/sort' 'none/Type_OF_Group' 'none/carrier' 'none/Type_OF_Monoid' 'none/Type_OF_PreGroup' 'none/Type_OF_convergent_generated_topology' 'none/Type_OF_finite_enumerable_SemiGroup' 'none/Type_OF_PreMonoid' 'none/A1' 'none/carr1'
12: (!V4, (!V5, (!V3, (!V2, ((V4 V5) | (?V1, (?V0, (~ (V4 ((((C0 V3) V2) V1) V0))))))))))
  'none/Morphism_Theory_rec' 'none/Prod_rec' 'none/morphism_rect' 'none/fgraphType_rect' 'none/morphism_ind' 'none/fgraphType_rec' 'none/morphism_rec' 'none/Morphism_Theory_ind' 'none/Prod_ind' 'none/Prod_rect' 'none/Morphism_Theory_rect' 'none/fgraphType_ind'
10: (!V0, (!V1, (((C0 V0) V1) = ((C0 V1) V0))))
  'none/sym_times' 'none/sym_rtimes' 'none/orbC' 'none/orb_sym' 'none/sym_Zplus' 'none/sym_gcd' 'none/andb_sym' 'none/andbC' 'none/sym_plus' 'none/sym_Ztimes'
9: (!V3, (!V4, ((V3 V4) | (?V2, (?V1, (?V0, (~ (V3 (((C0 V2) V1) V0)))))))))
  'none/finType_ind' 'none/finType_rect' 'none/eqType_rect' 'none/axiom_set_rect' 'none/eqType_rec' 'none/axiom_set_ind' 'none/finType_rec' 'none/axiom_set_rec' 'none/eqType_ind'
9: (!V3, (!V4, (!V2, ((V3 V4) | (?V1, (?V0, (~ (V3 (((C0 V2) V1) V0)))))))))
  'none/left_coset_ind' 'none/subgroup_rec' 'none/normal_subgroup_rec' 'none/subgroup_rect' 'none/normal_subgroup_rect' 'none/left_coset_rec' 'none/subgroup_ind' 'none/normal_subgroup_ind' 'none/left_coset_rect'
7: (!V0, (V0 = (C0 (C0 V0))))
  'none/eq_notb_notb_b_b' 'none/finv_finv' 'none/rinv_rinv' 'none/Qinv_Qinv' 'none/Zopp_Zopp' 'none/opposite_direction_idempotent' 'none/notb_notb'
6: (!V2, (!V1, (!V0, (((C0 V2) ((C0 V1) V0)) = ((C0 ((C0 V2) V1)) V0)))))
  'none/andb_assoc' 'none/assoc_Ztimes' 'none/assoc_Zplus' 'none/andbA' 'none/assoc_times' 'none/assoc_plus'
Property of 2 constants: 
18: (C1 | (~ C0))
  'none/OZ_test_to_Prop' 'none/segment_finType' 'none/magma0' 'none/magma' 'none/Magma_OF_PreGroup' 'none/pregroup' 'none/Magma_OF_Monoid' 'none/denom' 'none/num' 'none/fsort' 'none/primeb_to_Prop' 'none/premonoid' 'none/Magma_OF_Group' 'none/premonoid0' 'none/Magma_OF_finite_enumerable_SemiGroup' 'none/semigroup' 'none/PreMonoid_OF_Group' 'none/AA'
10: (!V0, (C1 (C0 V0)))
  'none/e' 'none/eqType_decidable' 'none/monoid_properties' 'none/decidable_prime' 'none/semigroup_properties' 'none/prime_nth_prime' 'none/not_nf_elim_not/1' 'none/not_nf_elim_not/0' 'none/sieve_sorted' 'none/group_properties'
9: (!V0, (C1 | (~ (C0 V0))))
  'none/Magma_OF_normal_subgroup' 'none/PreGroup_OF_subgroup' 'none/PreMonoid_OF_normal_subgroup' 'none/Magma_OF_subgroup' 'none/PreMonoid_OF_subgroup' 'none/order' 'none/PreGroup_OF_normal_subgroup' 'none/Group_OF_normal_subgroup' 'none/group'
9: (!V3, (!V2, (!V1, ((!V0, ((V3 V0) | (?V0, (~ (V3 (((C1 V2) V1) V0)))))) | (?V0, (~ (V3 (((C0 V2) V1) V0))))))))
  'none/Or_ind1' 'none/Or_ind' 'none/Or_rect0' 'none/cmp_cases_ind' 'none/Or_rec' 'none/cmp_cases_rect' 'none/cmp_cases_rec' 'none/Or_rect' 'none/Or_rec0'
9: (!V0, ((!V1, ((V0 V1) | (~ (V0 C1)))) | (~ (V0 C0))))
  'none/rewrite_direction_ind' 'none/rewrite_direction_rect' 'none/bool_ind' 'none/bool_rect' 'none/variance_ind' 'none/rewrite_direction_rec' 'none/variance_rect' 'none/bool_rec' 'none/variance_rec'
8: (!V0, (V0 = ((C1 V0) C0)))
  'none/Qtimes_Q1' 'none/minus_n_O' 'none/Qplus_QO' 'none/Zplus_z_OZ' 'none/Ztimes_Zone_r' 'none/rtimes_r_one' 'none/plus_n_O' 'none/Qtimes_q_Qone'
8: (C1 | ((~ C0) | (~ C0)))
  'none/eqZb_to_Prop' 'none/R' 'none/eqb_to_Prop' 'none/nat_compare_to_Prop' 'none/leb_to_Prop' 'none/eqfb_to_Prop' 'none/Z_compare_to_Prop' 'none/ltb_to_Prop'
6: (!V0, (!V1, ((C1 ((C0 V0) V1)) V0)))
  'none/le_minus_m' 'none/le_max_n' 'none/divides_gcd_n' 'none/divides_gcd_nm/1' 'none/morphism_OF_subgroup' 'none/embed'
6: (!V0, (V0 = (C1 (C0 V0))))
  'none/Zpred_Zsucc' 'none/Zsucc_Zpred' 'none/pred_Sn' 'none/factorize_defactorize' 'none/defactorize_factorize' 'none/numeratorQ_nat_fact_all_to_Q'
6: (!V0, ((C1 V0) (C0 V0)))
  'none/reflexive_eq' 'none/symmetric_eq' 'none/lt_n_nth_prime_n' 'none/le_n_Sn' 'none/le_n_fact_n' 'none/transitive_eq'
Property: 
41: ((C2 C1) C0)
  'none/antisymmetric_divides' 'none/symm_orb' 'none/symmetricb_same_atom' 'none/associative_Qtimes0' 'none/symmetric_Qtimes0' 'none/reflexive_divides' 'none/symmetric_rtimes' 'none/associative_Qplus' 'none/symmetric_Qplus' 'none/associative_plus' 'none/associative_Ztimes' 'none/transitiveb_same_atom' 'none/Rmult_assoc' 'none/associative_Zplus' 'none/associative_Qtimes' 'none/symmetricb_eqb' 'none/irrefl_Zlt' 'none/trans_Zlt' 'none/trans_Zle' 'none/Rmult_comm' 'none/symmetricIntPlus' 'none/symmetric_Qtimes' 'none/symmetric_gcd' 'none/Rplus_assoc' 'none/assoc_orb' 'none/symmetricZPlus' 'none/Rplus_comm' 'none/antisymmetric_le' 'none/irreflexive_Zlt' 'none/transitive_divides' 'none/transitive_lt' 'none/transitive_le' 'none/associative_times' 'none/associative_rtimes' 'none/associative_nat_gcd' 'none/symmetric_times' 'none/transitive_Zlt' 'none/transitive_Zle' 'none/associative_andb' 'none/symmetric_Ztimes' 'none/symm_andb'
21: (!V4, (!V1, (!V3, (!V2, ((V4 V1) | (?V1, (?V0, (~ (V4 ((((C0 V3) V2) V1) V0))))))))))
  'none/function_space_ind' 'none/iff_rect' 'none/iff_rec' 'none/And_rect1' 'none/function_space1_ind' 'none/monomorphism_rec' 'none/sigma_rec' 'none/function_space_rec' 'none/And_ind' 'none/And_rect' 'none/And_rec1' 'none/function_space1_rec' 'none/iff_ind' 'none/And_ind1' 'none/monomorphism_rect' 'none/function_space_rect' 'none/monomorphism_ind' 'none/sigma_rect' 'none/And_rec' 'none/sigma_ind' 'none/function_space1_rect'
18: (!V2, (!V3, ((V2 V3) | (?V1, (?V0, (~ (V2 ((C0 V1) V0))))))))
  'none/convergent_generated_topology_ind' 'none/Magma_rec' 'none/Monoid_rec' 'none/PreMonoid_rec' 'none/SemiGroup_ind' 'none/Group_ind' 'none/PreMonoid_rect' 'none/Magma_rect' 'none/convergent_generated_topology_rec' 'none/Monoid_rect' 'none/Group_rect' 'none/SemiGroup_rec' 'none/Magma_ind' 'none/SemiGroup_rect' 'none/Monoid_ind' 'none/PreMonoid_ind' 'none/Group_rec' 'none/convergent_generated_topology_rect'
18: (C1 | (~ C0))
  'none/OZ_test_to_Prop' 'none/segment_finType' 'none/magma0' 'none/magma' 'none/Magma_OF_PreGroup' 'none/pregroup' 'none/Magma_OF_Monoid' 'none/denom' 'none/num' 'none/fsort' 'none/primeb_to_Prop' 'none/premonoid' 'none/Magma_OF_Group' 'none/premonoid0' 'none/Magma_OF_finite_enumerable_SemiGroup' 'none/semigroup' 'none/PreMonoid_OF_Group' 'none/AA'
16: (((C3 C2) C1) C0)
  'none/Rmult_Rplus_distr' 'none/distributive_times_plus' 'none/distributive_andb_orb' 'none/injective_defactorize' 'none/monotonic_sqrt' 'none/monotonic_A' 'none/distributive_Qtimes_Qplus' 'none/injective_pp' 'none/injective_nn' 'none/distributive_times_minus' 'none/symmetric2_ftimes' 'none/injective_pos' 'none/distributive_orb_andb' 'none/injective_neg' 'none/injective_frac' 'none/distributive_Ztimes_Zplus'
13: C0
  'none/E' 'none/D' 'none/daemon' 'none/R00' 'none/daemon1' 'none/daemon0' 'none/Q10' 'none/QO' 'none/R1' 'none/C0' 'none/foo' 'none/B0' 'none/A0'
13: (D$true | (~ C0))
  'none/carr' 'none/Type_OF_SemiGroup' 'none/Type_OF_finType' 'none/sort' 'none/Type_OF_Group' 'none/carrier' 'none/Type_OF_Monoid' 'none/Type_OF_PreGroup' 'none/Type_OF_convergent_generated_topology' 'none/Type_OF_finite_enumerable_SemiGroup' 'none/Type_OF_PreMonoid' 'none/A1' 'none/carr1'
12: (!V4, (!V5, (!V3, (!V2, ((V4 V5) | (?V1, (?V0, (~ (V4 ((((C0 V3) V2) V1) V0))))))))))
  'none/Morphism_Theory_rec' 'none/Prod_rec' 'none/morphism_rect' 'none/fgraphType_rect' 'none/morphism_ind' 'none/fgraphType_rec' 'none/morphism_rec' 'none/Morphism_Theory_ind' 'none/Prod_ind' 'none/Prod_rect' 'none/Morphism_Theory_rect' 'none/fgraphType_ind'
11: (!V1, (!V0, ((C0 ((C2 V1) V0)) = ((C1 (C0 V1)) (C0 V0)))))
  'none/times_Qtimes' 'none/demorgan2' 'none/demorgan1' 'none/times_fa_Qtimes' 'none/eq_times_times_fa' 'none/costante_sum' 'none/bool_to_nat_andb' 'none/monomio_product' 'none/eq_times_fa_times' 'none/eq_plus_Zplus' 'none/rtimes_Zplus'
10: (!V0, (C1 (C0 V0)))
  'none/e' 'none/eqType_decidable' 'none/monoid_properties' 'none/decidable_prime' 'none/semigroup_properties' 'none/prime_nth_prime' 'none/not_nf_elim_not/1' 'none/not_nf_elim_not/0' 'none/sieve_sorted' 'none/group_properties'
