TSTP Solution File: SCT100-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SCT100-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 14:10:09 EDT 2023
% Result : Unsatisfiable 0.87s 1.07s
% Output : CNFRefutation 0.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.15/0.15 % Problem : SCT100-1 : TPTP v8.1.2. Released v4.1.0.
% 0.15/0.16 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.17/0.37 % Computer : n031.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Thu Aug 24 15:28:06 EDT 2023
% 0.17/0.37 % CPUTime :
% 0.23/0.62 start to proof:theBenchmark
% 0.87/1.02 %-------------------------------------------
% 0.87/1.02 % File :CSE---1.6
% 0.87/1.02 % Problem :theBenchmark
% 0.87/1.02 % Transform :cnf
% 0.87/1.02 % Format :tptp:raw
% 0.87/1.02 % Command :java -jar mcs_scs.jar %d %s
% 0.87/1.02
% 0.87/1.02 % Result :Theorem 0.090000s
% 0.87/1.02 % Output :CNFRefutation 0.090000s
% 0.87/1.02 %-------------------------------------------
% 0.87/1.03 %------------------------------------------------------------------------------
% 0.87/1.03 % File : SCT100-1 : TPTP v8.1.2. Released v4.1.0.
% 0.87/1.03 % Domain : Social Choice Theory
% 0.87/1.03 % Problem : Arrow Order 311_3
% 0.87/1.03 % Version : Especial.
% 0.87/1.03 % English : Formalization of two proofs of Arrow's impossibility theorem. One
% 0.87/1.03 % formalization is based on utility functions, the other one on
% 0.87/1.03 % strict partial orders.
% 0.87/1.03
% 0.87/1.03 % Refs : [Nip09] Nipkow (2009), Social Choice Theory in HOL: Arrow and
% 0.87/1.03 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.87/1.03 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.87/1.03 % Source : [Nip10]
% 0.87/1.03 % Names : Arrow_Order-311_33 [Nip10]
% 0.87/1.03
% 0.87/1.03 % Status : Unsatisfiable
% 0.87/1.03 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.00 v6.0.0, 0.10 v5.5.0, 0.20 v5.3.0, 0.17 v5.2.0, 0.19 v5.1.0, 0.29 v5.0.0, 0.21 v4.1.0
% 0.87/1.03 % Syntax : Number of clauses : 677 ( 205 unt; 75 nHn; 373 RR)
% 0.87/1.03 % Number of literals : 1432 ( 315 equ; 695 neg)
% 0.87/1.03 % Maximal clause size : 6 ( 2 avg)
% 0.87/1.03 % Maximal term depth : 12 ( 1 avg)
% 0.87/1.03 % Number of predicates : 33 ( 32 usr; 0 prp; 1-6 aty)
% 0.87/1.03 % Number of functors : 92 ( 92 usr; 17 con; 0-7 aty)
% 0.87/1.03 % Number of variables : 2379 ( 216 sgn)
% 0.87/1.03 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.87/1.03
% 0.87/1.03 % Comments :
% 0.87/1.03 %------------------------------------------------------------------------------
% 0.87/1.03 cnf(cls_insert__inter__insert_0,axiom,
% 0.87/1.03 c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_A,T_a),c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_insert__not__empty_0,axiom,
% 0.87/1.03 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_Diff__insert2_0,axiom,
% 0.87/1.03 c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_Diff__insert_0,axiom,
% 0.87/1.03 c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_bot__least_0,axiom,
% 0.87/1.03 ( ~ class_Orderings_Obot(T_a)
% 0.87/1.03 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_less__by__empty_0,axiom,
% 0.87/1.03 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),V_B,tc_fun(tc_prod(T_a,T_a),tc_bool)) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_empty__subsetI_0,axiom,
% 0.87/1.03 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_rel__comp__empty2_0,axiom,
% 0.87/1.03 c_Relation_Orel__comp(V_R,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_bool)),T_a,T_c,T_b) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_rel__comp__empty1_0,axiom,
% 0.87/1.03 c_Relation_Orel__comp(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_c),tc_bool)),V_R,T_a,T_c,T_b) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_Un__insert__right_0,axiom,
% 0.87/1.03 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_Un__insert__left_0,axiom,
% 0.87/1.03 c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_empty__is__image_0,axiom,
% 0.87/1.03 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a)
% 0.87/1.03 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_rtrancl__Un__subset_0,axiom,
% 0.87/1.03 c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Transitive__Closure_Ortrancl(V_S,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_Pair__fst__snd__eq_0,axiom,
% 0.87/1.03 ( hAPP(c_snd(T_a,T_b),V_s) != hAPP(c_snd(T_a,T_b),V_t)
% 0.87/1.03 | hAPP(c_fst(T_a,T_b),V_s) != hAPP(c_fst(T_a,T_b),V_t)
% 0.87/1.03 | V_s = V_t ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_prod__eqI_0,axiom,
% 0.87/1.03 ( hAPP(c_snd(T_a,T_b),V_p) != hAPP(c_snd(T_a,T_b),V_q)
% 0.87/1.03 | hAPP(c_fst(T_a,T_b),V_p) != hAPP(c_fst(T_a,T_b),V_q)
% 0.87/1.03 | V_p = V_q ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_wf__induct_1,axiom,
% 0.87/1.03 ( hBOOL(hAPP(V_P,V_a))
% 0.87/1.03 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1(V_P,V_r,T_a)))
% 0.87/1.03 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_Range__Diff__subset_0,axiom,
% 0.87/1.03 c_lessequals(c_HOL_Ominus__class_Ominus(c_Relation_ORange(V_A,T_b,T_a),c_Relation_ORange(V_B,T_b,T_a),tc_fun(T_a,tc_bool)),c_Relation_ORange(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_subset__insertI2_0,axiom,
% 0.87/1.03 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.87/1.03 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_insert__subset_1,axiom,
% 0.87/1.03 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.87/1.03 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_insert__Diff1_0,axiom,
% 0.87/1.03 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.87/1.03 | ~ c_in(V_x,V_B,T_a) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_Times__subset__cancel2_1,axiom,
% 0.87/1.03 ( c_lessequals(c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a),c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a),tc_fun(tc_prod(T_b,T_a),tc_bool))
% 0.87/1.03 | ~ c_lessequals(V_A,V_B,tc_fun(T_b,tc_bool))
% 0.87/1.03 | ~ c_in(V_x,V_C,T_a) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_Times__subset__cancel2_0,axiom,
% 0.87/1.03 ( c_lessequals(V_A,V_B,tc_fun(T_b,tc_bool))
% 0.87/1.03 | ~ c_lessequals(c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a),c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a),tc_fun(tc_prod(T_b,T_a),tc_bool))
% 0.87/1.03 | ~ c_in(V_x,V_C,T_a) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_diff__single__insert_0,axiom,
% 0.87/1.03 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.87/1.03 | ~ c_in(V_x,V_A,T_a)
% 0.87/1.03 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_subset__insert__iff_3,axiom,
% 0.87/1.03 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.87/1.03 | ~ c_in(V_x,V_A,T_a)
% 0.87/1.03 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_subset__insert__iff_0,axiom,
% 0.87/1.03 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 0.87/1.03 | ~ c_in(V_x,V_A,T_a)
% 0.87/1.03 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_image__constant_0,axiom,
% 0.87/1.03 ( c_Set_Oimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b) = c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b)
% 0.87/1.03 | ~ c_in(V_x,V_A,T_a) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_trancl__Int__subset_0,axiom,
% 0.87/1.03 ( c_lessequals(c_Transitive__Closure_Otrancl(V_r,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.87/1.03 | ~ c_lessequals(c_Relation_Orel__comp(c_Lattices_Olower__semilattice__class_Oinf(c_Transitive__Closure_Otrancl(V_r,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),V_r,T_a,T_a,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.87/1.03 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_Sigma__Int__distrib1_0,axiom,
% 0.87/1.03 c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(V_I,V_J,tc_fun(T_a,tc_bool)),V_C,T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(c_Product__Type_OSigma(V_I,V_C,T_a,T_b),c_Product__Type_OSigma(V_J,V_C,T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ).
% 0.87/1.03
% 0.87/1.03 cnf(cls_singletonE_0,axiom,
% 0.87/1.03 ( V_b = V_a
% 0.87/1.03 | ~ c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ) ).
% 0.87/1.03
% 0.87/1.04 cnf(cls_Diff__triv_0,axiom,
% 0.87/1.04 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.87/1.04 | c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Domain__Diff__subset_0,axiom,
% 0.87/1.04 c_lessequals(c_HOL_Ominus__class_Ominus(c_Relation_ODomain(V_A,T_a,T_b),c_Relation_ODomain(V_B,T_a,T_b),tc_fun(T_a,tc_bool)),c_Relation_ODomain(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(tc_prod(T_a,T_b),tc_bool)),T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Int__Un__distrib2_0,axiom,
% 0.87/1.04 c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Int__Un__distrib_0,axiom,
% 0.87/1.04 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_inf__sup__distrib1_0,axiom,
% 0.87/1.04 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.87/1.04 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_inf__sup__distrib2_0,axiom,
% 0.87/1.04 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.87/1.04 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_z,V_x,T_a),T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Id__on__subset__Times_0,axiom,
% 0.87/1.04 c_lessequals(c_Relation_OId__on(V_A,T_a),c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_refl__on__def_0,axiom,
% 0.87/1.04 ( c_lessequals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.87/1.04 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Un__absorb_0,axiom,
% 0.87/1.04 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_sup__idem_0,axiom,
% 0.87/1.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.87/1.04 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_rel__comp__mono_0,axiom,
% 0.87/1.04 ( c_lessequals(c_Relation_Orel__comp(V_r_H,V_s_H,T_a,T_b,T_c),c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c),tc_fun(tc_prod(T_a,T_c),tc_bool))
% 0.87/1.04 | ~ c_lessequals(V_s_H,V_s,tc_fun(tc_prod(T_b,T_c),tc_bool))
% 0.87/1.04 | ~ c_lessequals(V_r_H,V_r,tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Un__Image_0,axiom,
% 0.87/1.04 c_Relation_OImage(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_b,T_a),tc_bool)),V_A,T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(V_R,V_A,T_b,T_a),c_Relation_OImage(V_S,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Image__Un_0,axiom,
% 0.87/1.04 c_Relation_OImage(V_R,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(V_R,V_A,T_b,T_a),c_Relation_OImage(V_R,V_B,T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_tfl__wf__induct_1,axiom,
% 0.87/1.04 ( hBOOL(hAPP(V_P,V_Rb))
% 0.87/1.04 | ~ hBOOL(hAPP(V_P,c_List_Osko__Recdef__Xtfl__wf__induct__1__1(V_P,V_R,T_a)))
% 0.87/1.04 | ~ c_Wellfounded_Owf(V_R,T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Domain__empty_0,axiom,
% 0.87/1.04 c_Relation_ODomain(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_insert__commute_0,axiom,
% 0.87/1.04 c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a) = c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_surjective__pairing_0,axiom,
% 0.87/1.04 V_t = c_Pair(hAPP(c_fst(T_a,T_b),V_t),hAPP(c_snd(T_a,T_b),V_t),T_a,T_b) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_pair__collapse_0,axiom,
% 0.87/1.04 c_Pair(hAPP(c_fst(T_a,T_b),V_p),hAPP(c_snd(T_a,T_b),V_p),T_a,T_b) = V_p ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_COMBK__def_0,axiom,
% 0.87/1.04 hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Diff__idemp_0,axiom,
% 0.87/1.04 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_doubleton__eq__iff_4,axiom,
% 0.87/1.04 c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Image__subset_0,axiom,
% 0.87/1.04 ( c_lessequals(c_Relation_OImage(V_r,V_C,T_a,T_b),V_B,tc_fun(T_b,tc_bool))
% 0.87/1.04 | ~ c_lessequals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_eq__eqI_1,axiom,
% 0.87/1.04 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.87/1.04 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 0.87/1.04 | V_xa = V_y ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_eq__eqI_0,axiom,
% 0.87/1.04 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.87/1.04 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.87/1.04 | V_x_H = V_y_H ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_image__empty_0,axiom,
% 0.87/1.04 c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_image__diff__subset_0,axiom,
% 0.87/1.04 c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Un__left__commute_0,axiom,
% 0.87/1.04 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Un__assoc_0,axiom,
% 0.87/1.04 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_sup__assoc_0,axiom,
% 0.87/1.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.87/1.04 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_sup__left__commute_0,axiom,
% 0.87/1.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.87/1.04 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 0.87/1.04 ( ~ class_Lattices_Olattice(T_a)
% 0.87/1.04 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 0.87/1.04 ( ~ class_Lattices_Olattice(T_a)
% 0.87/1.04 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Int__absorb2_0,axiom,
% 0.87/1.04 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 0.87/1.04 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Int__absorb1_0,axiom,
% 0.87/1.04 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 0.87/1.04 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_le__iff__inf_0,axiom,
% 0.87/1.04 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.04 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_x
% 0.87/1.04 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_le__iff__inf_1,axiom,
% 0.87/1.04 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.04 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != V_x
% 0.87/1.04 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_inf__absorb2_0,axiom,
% 0.87/1.04 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.04 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_y
% 0.87/1.04 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Un__subset__iff_2,axiom,
% 0.87/1.04 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
% 0.87/1.04 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.87/1.04 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Un__upper2_0,axiom,
% 0.87/1.04 c_lessequals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Un__upper1_0,axiom,
% 0.87/1.04 c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Un__least_0,axiom,
% 0.87/1.04 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
% 0.87/1.04 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.87/1.04 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_le__supI_0,axiom,
% 0.87/1.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.87/1.04 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
% 0.87/1.04 | ~ c_lessequals(V_b,V_x,T_a)
% 0.87/1.04 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_sup__ge1_0,axiom,
% 0.87/1.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.87/1.04 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_sup__ge2_0,axiom,
% 0.87/1.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.87/1.04 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_sup__least_0,axiom,
% 0.87/1.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.87/1.04 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)
% 0.87/1.04 | ~ c_lessequals(V_z,V_x,T_a)
% 0.87/1.04 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_le__sup__iff_2,axiom,
% 0.87/1.04 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.87/1.04 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
% 0.87/1.04 | ~ c_lessequals(V_y,V_z,T_a)
% 0.87/1.04 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 0.87/1.04 ( ~ class_Lattices_Olattice(T_a)
% 0.87/1.04 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 0.87/1.04 ( ~ class_Lattices_Olattice(T_a)
% 0.87/1.04 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Int__commute_0,axiom,
% 0.87/1.04 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_inf__commute_0,axiom,
% 0.87/1.04 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.04 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_inf__sup__aci_I1_J_0,axiom,
% 0.87/1.04 ( ~ class_Lattices_Olattice(T_a)
% 0.87/1.04 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_wf__acyclic_0,axiom,
% 0.87/1.04 ( c_Wellfounded_Oacyclic(V_r,T_a)
% 0.87/1.04 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Diff__partition_0,axiom,
% 0.87/1.04 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_B
% 0.87/1.04 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_equiv__class__subset_0,axiom,
% 0.87/1.04 ( c_lessequals(c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),tc_fun(T_a,tc_bool))
% 0.87/1.04 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.04 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Image__empty_0,axiom,
% 0.87/1.04 c_Relation_OImage(V_R,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_insert__absorb2_0,axiom,
% 0.87/1.04 c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Set_Oinsert(V_x,V_A,T_a) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_insert__code_0,axiom,
% 0.87/1.04 ( hBOOL(hAPP(V_A,V_x))
% 0.87/1.04 | V_y = V_x
% 0.87/1.04 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Domain__insert_0,axiom,
% 0.87/1.04 c_Relation_ODomain(c_Set_Oinsert(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)),T_a,T_b) = c_Set_Oinsert(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_sym__Un_0,axiom,
% 0.87/1.04 ( c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)
% 0.87/1.04 | ~ c_Relation_Osym(V_s,T_a)
% 0.87/1.04 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_rtrancl__mono_0,axiom,
% 0.87/1.04 ( c_lessequals(c_Transitive__Closure_Ortrancl(V_r,T_a),c_Transitive__Closure_Ortrancl(V_s,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.87/1.04 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Domain__Int__subset_0,axiom,
% 0.87/1.04 c_lessequals(c_Relation_ODomain(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(tc_prod(T_a,T_b),tc_bool)),T_a,T_b),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ODomain(V_A,T_a,T_b),c_Relation_ODomain(V_B,T_a,T_b),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_inf__bot__right_0,axiom,
% 0.87/1.04 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.87/1.04 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_inf__bot__left_0,axiom,
% 0.87/1.04 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.87/1.04 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Int__empty__left_0,axiom,
% 0.87/1.04 c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Int__empty__right_0,axiom,
% 0.87/1.04 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_subset__insertI_0,axiom,
% 0.87/1.04 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_image__Int__subset_0,axiom,
% 0.87/1.04 c_lessequals(c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Image__Int__subset_0,axiom,
% 0.87/1.04 c_lessequals(c_Relation_OImage(V_R,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(V_R,V_A,T_b,T_a),c_Relation_OImage(V_R,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Un__Int__assoc__eq_0,axiom,
% 0.87/1.04 ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.87/1.04 | c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Un__Int__assoc__eq_1,axiom,
% 0.87/1.04 ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.87/1.04 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Sigma__Diff__distrib1_0,axiom,
% 0.87/1.04 c_Product__Type_OSigma(c_HOL_Ominus__class_Ominus(V_I,V_J,tc_fun(T_a,tc_bool)),V_C,T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Product__Type_OSigma(V_I,V_C,T_a,T_b),c_Product__Type_OSigma(V_J,V_C,T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Diff__empty_0,axiom,
% 0.87/1.04 c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Diff__cancel_0,axiom,
% 0.87/1.04 c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_rel__comp__subset__Sigma_0,axiom,
% 0.87/1.04 ( c_lessequals(c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c),c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_c,tc_bool),T_a),T_a,T_c),tc_fun(tc_prod(T_a,T_c),tc_bool))
% 0.87/1.04 | ~ c_lessequals(V_s,c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_c,tc_bool),T_b),T_b,T_c),tc_fun(tc_prod(T_b,T_c),tc_bool))
% 0.87/1.04 | ~ c_lessequals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_wf__union__compatible_0,axiom,
% 0.87/1.04 ( c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)
% 0.87/1.04 | ~ c_lessequals(c_Relation_Orel__comp(V_R,V_S,T_a,T_a,T_a),V_R,tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.87/1.04 | ~ c_Wellfounded_Owf(V_S,T_a)
% 0.87/1.04 | ~ c_Wellfounded_Owf(V_R,T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_sup1E_0,axiom,
% 0.87/1.04 ( hBOOL(hAPP(V_B,V_x))
% 0.87/1.04 | hBOOL(hAPP(V_A,V_x))
% 0.87/1.04 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_sup1CI_0,axiom,
% 0.87/1.04 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.87/1.04 | ~ hBOOL(hAPP(V_B,V_x)) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_sup1CI_1,axiom,
% 0.87/1.04 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.87/1.04 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_wf__Un_0,axiom,
% 0.87/1.04 ( c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ODomain(V_r,T_a,T_a),c_Relation_ORange(V_s,T_a,T_a),tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.87/1.04 | ~ c_Wellfounded_Owf(V_s,T_a)
% 0.87/1.04 | ~ c_Wellfounded_Owf(V_r,T_a)
% 0.87/1.04 | c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Times__Int__distrib1_0,axiom,
% 0.87/1.04 c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b),c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_refl__on__Un_0,axiom,
% 0.87/1.04 ( c_Relation_Orefl__on(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)
% 0.87/1.04 | ~ c_Relation_Orefl__on(V_B,V_s,T_a)
% 0.87/1.04 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_inf__sup__aci_I2_J_0,axiom,
% 0.87/1.04 ( ~ class_Lattices_Olattice(T_a)
% 0.87/1.04 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_inf__sup__aci_I3_J_0,axiom,
% 0.87/1.04 ( ~ class_Lattices_Olattice(T_a)
% 0.87/1.04 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_inf__left__commute_0,axiom,
% 0.87/1.04 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.04 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_inf__assoc_0,axiom,
% 0.87/1.04 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.04 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Int__assoc_0,axiom,
% 0.87/1.04 c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Int__left__commute_0,axiom,
% 0.87/1.04 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_sup__bot__right_0,axiom,
% 0.87/1.04 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.87/1.04 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_sup__bot__left_0,axiom,
% 0.87/1.04 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.87/1.04 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Un__empty__left_0,axiom,
% 0.87/1.04 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Un__empty__right_0,axiom,
% 0.87/1.04 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_empty__Diff_0,axiom,
% 0.87/1.04 c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_insert__times__insert_0,axiom,
% 0.87/1.04 c_Product__Type_OSigma(c_Set_Oinsert(V_a,V_A,T_a),c_COMBK(c_Set_Oinsert(V_b,V_B,T_b),tc_fun(T_b,tc_bool),T_a),T_a,T_b) = c_Set_Oinsert(c_Pair(V_a,V_b,T_a,T_b),c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(V_A,c_COMBK(c_Set_Oinsert(V_b,V_B,T_b),tc_fun(T_b,tc_bool),T_a),T_a,T_b),c_Product__Type_OSigma(c_Set_Oinsert(V_a,V_A,T_a),c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)),tc_prod(T_a,T_b)) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_wfE__pf_0,axiom,
% 0.87/1.04 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.87/1.04 | ~ c_lessequals(V_A,c_Relation_OImage(V_R,V_A,T_a,T_a),tc_fun(T_a,tc_bool))
% 0.87/1.04 | ~ c_Wellfounded_Owf(V_R,T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_bot1E_0,axiom,
% 0.87/1.04 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Diff__Int__distrib_0,axiom,
% 0.87/1.04 c_Lattices_Olower__semilattice__class_Oinf(V_C,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Diff__Int__distrib2_0,axiom,
% 0.87/1.04 c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_image__constant__conv_1,axiom,
% 0.87/1.04 ( c_Set_Oimage(c_COMBK(V_c,T_a,T_b),V_A,T_b,T_a) = c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 0.87/1.04 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Diff__mono_0,axiom,
% 0.87/1.04 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.87/1.04 | ~ c_lessequals(V_D,V_B,tc_fun(T_a,tc_bool))
% 0.87/1.04 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_disjoint__iff__not__equal_0,axiom,
% 0.87/1.04 ( ~ c_in(V_x,V_B,T_a)
% 0.87/1.04 | ~ c_in(V_x,V_A,T_a)
% 0.87/1.04 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_trans__Int_0,axiom,
% 0.87/1.04 ( c_Relation_Otrans(c_Lattices_Olower__semilattice__class_Oinf(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)
% 0.87/1.04 | ~ c_Relation_Otrans(V_s,T_a)
% 0.87/1.04 | ~ c_Relation_Otrans(V_r,T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_distrib__sup__le_0,axiom,
% 0.87/1.04 ( ~ class_Lattices_Olattice(T_a)
% 0.87/1.04 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a),T_a) ) ).
% 0.87/1.04
% 0.87/1.04 cnf(cls_Diff__Int2_0,axiom,
% 0.87/1.05 c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_sup__inf__absorb_0,axiom,
% 0.87/1.05 ( ~ class_Lattices_Olattice(T_a)
% 0.87/1.05 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = V_x ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_union__comp__emptyL_0,axiom,
% 0.87/1.05 ( c_Relation_Orel__comp(V_B,V_C,T_a,T_a,T_a) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.87/1.05 | c_Relation_Orel__comp(V_A,V_C,T_a,T_a,T_a) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.87/1.05 | c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(tc_prod(T_a,T_a),tc_bool)),V_C,T_a,T_a,T_a) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_union__comp__emptyR_0,axiom,
% 0.87/1.05 ( c_Relation_Orel__comp(V_A,V_C,T_a,T_a,T_a) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.87/1.05 | c_Relation_Orel__comp(V_A,V_B,T_a,T_a,T_a) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.87/1.05 | c_Relation_Orel__comp(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a,T_a,T_a) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_wf__def_1,axiom,
% 0.87/1.05 ( hBOOL(hAPP(V_P,V_xb))
% 0.87/1.05 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1(V_P,V_r,T_a)))
% 0.87/1.05 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_acyclic__converse_0,axiom,
% 0.87/1.05 ( c_Wellfounded_Oacyclic(V_r,T_a)
% 0.87/1.05 | ~ c_Wellfounded_Oacyclic(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_acyclic__converse_1,axiom,
% 0.87/1.05 ( c_Wellfounded_Oacyclic(c_Relation_Oconverse(V_r,T_a,T_a),T_a)
% 0.87/1.05 | ~ c_Wellfounded_Oacyclic(V_r,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_equalityI_0,axiom,
% 0.87/1.05 ( V_A = V_B
% 0.87/1.05 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 0.87/1.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_set__eq__subset_2,axiom,
% 0.87/1.05 ( V_A = V_B
% 0.87/1.05 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 0.87/1.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_order__eq__iff_2,axiom,
% 0.87/1.05 ( ~ class_Orderings_Oorder(T_a)
% 0.87/1.05 | V_x = V_y
% 0.87/1.05 | ~ c_lessequals(V_y,V_x,T_a)
% 0.87/1.05 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_order__antisym_0,axiom,
% 0.87/1.05 ( ~ class_Orderings_Oorder(T_a)
% 0.87/1.05 | V_x = V_y
% 0.87/1.05 | ~ c_lessequals(V_y,V_x,T_a)
% 0.87/1.05 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_split__beta_0,axiom,
% 0.87/1.05 hAPP(c_split(V_P,T_b,T_c,T_a),V_z) = hAPP(hAPP(V_P,hAPP(c_fst(T_b,T_c),V_z)),hAPP(c_snd(T_b,T_c),V_z)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_order__antisym__conv_0,axiom,
% 0.87/1.05 ( ~ class_Orderings_Oorder(T_a)
% 0.87/1.05 | V_x = V_y
% 0.87/1.05 | ~ c_lessequals(V_x,V_y,T_a)
% 0.87/1.05 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_inf__sup__absorb_0,axiom,
% 0.87/1.05 ( ~ class_Lattices_Olattice(T_a)
% 0.87/1.05 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = V_x ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Un__Diff__Int_0,axiom,
% 0.87/1.05 c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_sup__absorb1_0,axiom,
% 0.87/1.05 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.87/1.05 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x
% 0.87/1.05 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_le__iff__sup_1,axiom,
% 0.87/1.05 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.87/1.05 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y
% 0.87/1.05 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_le__iff__sup_0,axiom,
% 0.87/1.05 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.87/1.05 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y
% 0.87/1.05 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Un__absorb1_0,axiom,
% 0.87/1.05 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 0.87/1.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Un__absorb2_0,axiom,
% 0.87/1.05 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 0.87/1.05 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_subset__Un__eq_1,axiom,
% 0.87/1.05 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B
% 0.87/1.05 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_refl__on__Int_0,axiom,
% 0.87/1.05 ( c_Relation_Orefl__on(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)
% 0.87/1.05 | ~ c_Relation_Orefl__on(V_B,V_s,T_a)
% 0.87/1.05 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_antisym__empty_0,axiom,
% 0.87/1.05 c_Relation_Oantisym(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Range__empty_0,axiom,
% 0.87/1.05 c_Relation_ORange(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_doubleton__eq__iff_0,axiom,
% 0.87/1.05 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.87/1.05 | V_a = V_d
% 0.87/1.05 | V_a = V_c ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_doubleton__eq__iff_1,axiom,
% 0.87/1.05 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.87/1.05 | V_b = V_c
% 0.87/1.05 | V_a = V_c ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_doubleton__eq__iff_2,axiom,
% 0.87/1.05 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.87/1.05 | V_a = V_d
% 0.87/1.05 | V_b = V_d ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_doubleton__eq__iff_3,axiom,
% 0.87/1.05 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.87/1.05 | V_b = V_c
% 0.87/1.05 | V_b = V_d ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_trancl__subset__Sigma_0,axiom,
% 0.87/1.05 ( c_lessequals(c_Transitive__Closure_Otrancl(V_r,T_a),c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.87/1.05 | ~ c_lessequals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_rtrancl__subset__rtrancl_0,axiom,
% 0.87/1.05 ( c_lessequals(c_Transitive__Closure_Ortrancl(V_r,T_a),c_Transitive__Closure_Ortrancl(V_s,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.87/1.05 | ~ c_lessequals(V_r,c_Transitive__Closure_Ortrancl(V_s,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_subset__empty_0,axiom,
% 0.87/1.05 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.87/1.05 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_subset__empty_1,axiom,
% 0.87/1.05 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_empty__not__insert_0,axiom,
% 0.87/1.05 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_refl__on__empty_0,axiom,
% 0.87/1.05 c_Relation_Orefl__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Int__insert__left_0,axiom,
% 0.87/1.05 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),T_a)
% 0.87/1.05 | ~ c_in(V_a,V_C,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Int__insert__right_0,axiom,
% 0.87/1.05 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.87/1.05 | ~ c_in(V_a,V_A,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_image__insert_0,axiom,
% 0.87/1.05 c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_total__on__empty_0,axiom,
% 0.87/1.05 c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_r,T_a) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Un__mono_0,axiom,
% 0.87/1.05 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.87/1.05 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 0.87/1.05 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_converse__Un_0,axiom,
% 0.87/1.05 c_Relation_Oconverse(c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Oconverse(V_r,T_b,T_a),c_Relation_Oconverse(V_s,T_b,T_a),tc_fun(tc_prod(T_a,T_b),tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_inf__sup__ord_I1_J_0,axiom,
% 0.87/1.05 ( ~ class_Lattices_Olattice(T_a)
% 0.87/1.05 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_inf__sup__ord_I2_J_0,axiom,
% 0.87/1.05 ( ~ class_Lattices_Olattice(T_a)
% 0.87/1.05 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_inf__greatest_0,axiom,
% 0.87/1.05 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.05 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)
% 0.87/1.05 | ~ c_lessequals(V_x,V_z,T_a)
% 0.87/1.05 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_le__inf__iff_2,axiom,
% 0.87/1.05 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.05 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)
% 0.87/1.05 | ~ c_lessequals(V_x,V_z,T_a)
% 0.87/1.05 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_le__infI_0,axiom,
% 0.87/1.05 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.05 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a)
% 0.87/1.05 | ~ c_lessequals(V_x,V_b,T_a)
% 0.87/1.05 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_inf__le2_0,axiom,
% 0.87/1.05 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.05 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_inf__le1_0,axiom,
% 0.87/1.05 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.05 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Int__lower1_0,axiom,
% 0.87/1.05 c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Int__lower2_0,axiom,
% 0.87/1.05 c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Int__greatest_0,axiom,
% 0.87/1.05 ( c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.87/1.05 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 0.87/1.05 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Int__subset__iff_2,axiom,
% 0.87/1.05 ( c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.87/1.05 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 0.87/1.05 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Times__Un__distrib1_0,axiom,
% 0.87/1.05 c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b),c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_distrib__inf__le_0,axiom,
% 0.87/1.05 ( ~ class_Lattices_Olattice(T_a)
% 0.87/1.05 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a),T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_rtrancl__subset_0,axiom,
% 0.87/1.05 ( c_Transitive__Closure_Ortrancl(V_S,T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a)
% 0.87/1.05 | ~ c_lessequals(V_S,c_Transitive__Closure_Ortrancl(V_R,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.87/1.05 | ~ c_lessequals(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Diff__subset_0,axiom,
% 0.87/1.05 c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_insert__Diff__single_0,axiom,
% 0.87/1.05 c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,V_A,T_a) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_singleton__inject_0,axiom,
% 0.87/1.05 ( c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) != c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 0.87/1.05 | V_a = V_b ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Un__Int__crazy_0,axiom,
% 0.87/1.05 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Id__on__empty_0,axiom,
% 0.87/1.05 c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_image__constant__conv_0,axiom,
% 0.87/1.05 c_Set_Oimage(c_COMBK(V_c,T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
% 0.87/1.05 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.87/1.05 | c_in(V_x,V_xa,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_wf__empty_0,axiom,
% 0.87/1.05 c_Wellfounded_Owf(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_insert__subset_0,axiom,
% 0.87/1.05 ( c_in(V_x,V_B,T_a)
% 0.87/1.05 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Sigma__Un__distrib1_0,axiom,
% 0.87/1.05 c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(V_I,V_J,tc_fun(T_a,tc_bool)),V_C,T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(V_I,V_C,T_a,T_b),c_Product__Type_OSigma(V_J,V_C,T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_insert__code_2,axiom,
% 0.87/1.05 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
% 0.87/1.05 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_subset__insert__iff_2,axiom,
% 0.87/1.05 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.87/1.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.87/1.05 | c_in(V_x,V_A,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_subset__insert__iff_1,axiom,
% 0.87/1.05 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.87/1.05 | c_in(V_x,V_A,T_a)
% 0.87/1.05 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_subset__insert_1,axiom,
% 0.87/1.05 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.87/1.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.87/1.05 | c_in(V_x,V_A,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_subset__insert_0,axiom,
% 0.87/1.05 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.87/1.05 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.87/1.05 | c_in(V_x,V_A,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_converse__Int_0,axiom,
% 0.87/1.05 c_Relation_Oconverse(c_Lattices_Olower__semilattice__class_Oinf(V_r,V_s,tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Relation_Oconverse(V_r,T_b,T_a),c_Relation_Oconverse(V_s,T_b,T_a),tc_fun(tc_prod(T_a,T_b),tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Int__insert__right_1,axiom,
% 0.87/1.05 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.87/1.05 | c_in(V_a,V_A,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Int__insert__left_1,axiom,
% 0.87/1.05 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.87/1.05 | c_in(V_a,V_C,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_strict__linear__order__on__def_2,axiom,
% 0.87/1.05 ( c_Relation_Ototal__on(V_A,V_r,T_a)
% 0.87/1.05 | ~ c_Order__Relation_Ostrict__linear__order__on(V_A,V_r,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Un__empty_1,axiom,
% 0.87/1.05 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.87/1.05 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Un__empty_0,axiom,
% 0.87/1.05 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.87/1.05 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_sup__eq__bot__eq1_0,axiom,
% 0.87/1.05 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.87/1.05 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 0.87/1.05 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_sup__eq__bot__eq2_0,axiom,
% 0.87/1.05 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.87/1.05 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 0.87/1.05 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Un__Diff__cancel2_0,axiom,
% 0.87/1.05 c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Un__Diff__cancel_0,axiom,
% 0.87/1.05 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_rel__comp__distrib2_0,axiom,
% 0.87/1.05 c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(V_S,V_T,tc_fun(tc_prod(T_a,T_c),tc_bool)),V_R,T_a,T_c,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_S,V_R,T_a,T_c,T_b),c_Relation_Orel__comp(V_T,V_R,T_a,T_c,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_rel__comp__distrib_0,axiom,
% 0.87/1.05 c_Relation_Orel__comp(V_R,c_Lattices_Oupper__semilattice__class_Osup(V_S,V_T,tc_fun(tc_prod(T_c,T_b),tc_bool)),T_a,T_c,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_R,V_S,T_a,T_c,T_b),c_Relation_Orel__comp(V_R,V_T,T_a,T_c,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Int__subset__iff_1,axiom,
% 0.87/1.05 ( c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 0.87/1.05 | ~ c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Int__subset__iff_0,axiom,
% 0.87/1.05 ( c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool))
% 0.87/1.05 | ~ c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_le__infE_0,axiom,
% 0.87/1.05 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.05 | c_lessequals(V_x,V_a,T_a)
% 0.87/1.05 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_le__infE_1,axiom,
% 0.87/1.05 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.05 | c_lessequals(V_x,V_b,T_a)
% 0.87/1.05 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_le__infI1_0,axiom,
% 0.87/1.05 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.05 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 0.87/1.05 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_le__infI2_0,axiom,
% 0.87/1.05 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.05 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 0.87/1.05 | ~ c_lessequals(V_b,V_x,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_le__inf__iff_0,axiom,
% 0.87/1.05 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.05 | c_lessequals(V_x,V_y,T_a)
% 0.87/1.05 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_le__inf__iff_1,axiom,
% 0.87/1.05 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.05 | c_lessequals(V_x,V_z,T_a)
% 0.87/1.05 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Un__Diff_0,axiom,
% 0.87/1.05 c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Un__commute_0,axiom,
% 0.87/1.05 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_sup__commute_0,axiom,
% 0.87/1.05 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.87/1.05 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 0.87/1.05 ( ~ class_Lattices_Olattice(T_a)
% 0.87/1.05 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Domain__Un__eq_0,axiom,
% 0.87/1.05 c_Relation_ODomain(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(tc_prod(T_a,T_b),tc_bool)),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(V_A,T_a,T_b),c_Relation_ODomain(V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_insert__is__Un_0,axiom,
% 0.87/1.05 c_Set_Oinsert(V_a,V_A,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Sigma__empty1_0,axiom,
% 0.87/1.05 c_Product__Type_OSigma(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_acc__subset_0,axiom,
% 0.87/1.05 ( c_lessequals(c_Wellfounded_Oacc(V_R2,T_a),c_Wellfounded_Oacc(V_R1,T_a),tc_fun(T_a,tc_bool))
% 0.87/1.05 | ~ c_lessequals(V_R1,V_R2,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Un__left__absorb_0,axiom,
% 0.87/1.05 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_sup__left__idem_0,axiom,
% 0.87/1.05 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.87/1.05 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 0.87/1.05 ( ~ class_Lattices_Olattice(T_a)
% 0.87/1.05 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Domain__empty__iff_0,axiom,
% 0.87/1.05 ( c_Relation_ODomain(V_r,T_a,T_b) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.87/1.05 | V_r = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_empty__is__image_1,axiom,
% 0.87/1.05 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Diff__disjoint_0,axiom,
% 0.87/1.05 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Range__Int__subset_0,axiom,
% 0.87/1.05 c_lessequals(c_Relation_ORange(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ORange(V_A,T_b,T_a),c_Relation_ORange(V_B,T_b,T_a),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_wf__induct__rule_1,axiom,
% 0.87/1.05 ( hBOOL(hAPP(V_P,V_a))
% 0.87/1.05 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1(V_P,V_r,T_a)))
% 0.87/1.05 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_rtrancl__Un__rtrancl_0,axiom,
% 0.87/1.05 c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Transitive__Closure_Ortrancl(V_S,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) = c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_insert__Diff__if_1,axiom,
% 0.87/1.05 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_x,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.87/1.05 | c_in(V_x,V_B,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_subset__insert__iff_4,axiom,
% 0.87/1.05 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.87/1.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.87/1.05 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_inf1E_1,axiom,
% 0.87/1.05 ( hBOOL(hAPP(V_B,V_x))
% 0.87/1.05 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_inf1E_0,axiom,
% 0.87/1.05 ( hBOOL(hAPP(V_A,V_x))
% 0.87/1.05 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Range__insert_0,axiom,
% 0.87/1.05 c_Relation_ORange(c_Set_Oinsert(c_Pair(V_a,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a)),T_b,T_a) = c_Set_Oinsert(V_b,c_Relation_ORange(V_r,T_b,T_a),T_a) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_sym__Int_0,axiom,
% 0.87/1.05 ( c_Relation_Osym(c_Lattices_Olower__semilattice__class_Oinf(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)
% 0.87/1.05 | ~ c_Relation_Osym(V_s,T_a)
% 0.87/1.05 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Diff__insert__absorb_0,axiom,
% 0.87/1.05 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) = V_A
% 0.87/1.05 | c_in(V_x,V_A,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Diff__subset__conv_1,axiom,
% 0.87/1.05 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
% 0.87/1.05 | ~ c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Diff__subset__conv_0,axiom,
% 0.87/1.05 ( c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.87/1.05 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_cuts__eq_2,axiom,
% 0.87/1.05 ( hAPP(V_f,c_List_Osko__Recdef__Xcuts__eq__1__1(V_f,V_g,V_r,V_x,T_a,T_b)) != hAPP(V_g,c_List_Osko__Recdef__Xcuts__eq__1__1(V_f,V_g,V_r,V_x,T_a,T_b))
% 0.87/1.05 | c_Recdef_Ocut(V_f,V_r,V_x,T_a,T_b) = c_Recdef_Ocut(V_g,V_r,V_x,T_a,T_b) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_acyclic__insert_0,axiom,
% 0.87/1.05 ( c_Wellfounded_Oacyclic(V_r,T_a)
% 0.87/1.05 | ~ c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_le__funD_0,axiom,
% 0.87/1.05 ( ~ class_HOL_Oord(T_b)
% 0.87/1.05 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)
% 0.87/1.05 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Int__iff_2,axiom,
% 0.87/1.05 ( c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.87/1.05 | ~ c_in(V_c,V_B,T_a)
% 0.87/1.05 | ~ c_in(V_c,V_A,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_IntI_0,axiom,
% 0.87/1.05 ( c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.87/1.05 | ~ c_in(V_c,V_B,T_a)
% 0.87/1.05 | ~ c_in(V_c,V_A,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_insert__iff_2,axiom,
% 0.87/1.05 ( c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)
% 0.87/1.05 | ~ c_in(V_a,V_A,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_insertCI_0,axiom,
% 0.87/1.05 ( c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a)
% 0.87/1.05 | ~ c_in(V_a,V_B,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_subset__iff_0,axiom,
% 0.87/1.05 ( c_in(V_t,V_B,T_a)
% 0.87/1.05 | ~ c_in(V_t,V_A,T_a)
% 0.87/1.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_set__rev__mp_0,axiom,
% 0.87/1.05 ( c_in(V_x,V_B,T_a)
% 0.87/1.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.87/1.05 | ~ c_in(V_x,V_A,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_subsetD_0,axiom,
% 0.87/1.05 ( c_in(V_c,V_B,T_a)
% 0.87/1.05 | ~ c_in(V_c,V_A,T_a)
% 0.87/1.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_set__mp_0,axiom,
% 0.87/1.05 ( c_in(V_x,V_B,T_a)
% 0.87/1.05 | ~ c_in(V_x,V_A,T_a)
% 0.87/1.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_UnCI_1,axiom,
% 0.87/1.05 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.87/1.05 | ~ c_in(V_c,V_A,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_UnCI_0,axiom,
% 0.87/1.05 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.87/1.05 | ~ c_in(V_c,V_B,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_ex__in__conv_0,axiom,
% 0.87/1.05 ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_ball__empty_0,axiom,
% 0.87/1.05 ( hBOOL(hAPP(V_P,V_x))
% 0.87/1.05 | ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_empty__iff_0,axiom,
% 0.87/1.05 ~ c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_emptyE_0,axiom,
% 0.87/1.05 ~ c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_insertE_0,axiom,
% 0.87/1.05 ( c_in(V_a,V_A,T_a)
% 0.87/1.05 | V_a = V_b
% 0.87/1.05 | ~ c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_UnE_0,axiom,
% 0.87/1.05 ( c_in(V_c,V_B,T_a)
% 0.87/1.05 | c_in(V_c,V_A,T_a)
% 0.87/1.05 | ~ c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_DiffE_1,axiom,
% 0.87/1.05 ( ~ c_in(V_c,V_B,T_a)
% 0.87/1.05 | ~ c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_DiffE_0,axiom,
% 0.87/1.05 ( c_in(V_c,V_A,T_a)
% 0.87/1.05 | ~ c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_insert__iff_1,axiom,
% 0.87/1.05 c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_insertI1_0,axiom,
% 0.87/1.05 c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_insertCI_1,axiom,
% 0.87/1.05 c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_IntE_1,axiom,
% 0.87/1.05 ( c_in(V_c,V_B,T_a)
% 0.87/1.05 | ~ c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_IntE_0,axiom,
% 0.87/1.05 ( c_in(V_c,V_A,T_a)
% 0.87/1.05 | ~ c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_bex__empty_0,axiom,
% 0.87/1.05 ( ~ hBOOL(hAPP(V_P,V_x))
% 0.87/1.05 | ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Diff__iff_2,axiom,
% 0.87/1.05 ( c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.87/1.05 | c_in(V_c,V_B,T_a)
% 0.87/1.05 | ~ c_in(V_c,V_A,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_DiffI_0,axiom,
% 0.87/1.05 ( c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.87/1.05 | c_in(V_c,V_B,T_a)
% 0.87/1.05 | ~ c_in(V_c,V_A,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_insert__ident_0,axiom,
% 0.87/1.05 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a)
% 0.87/1.05 | c_in(V_x,V_B,T_a)
% 0.87/1.05 | c_in(V_x,V_A,T_a)
% 0.87/1.05 | V_A = V_B ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_insert__absorb_0,axiom,
% 0.87/1.05 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A
% 0.87/1.05 | ~ c_in(V_a,V_A,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_fst__conv_0,axiom,
% 0.87/1.05 hAPP(c_fst(T_a,T_b),c_Pair(V_a,V_b,T_a,T_b)) = V_a ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_fst__eqD_0,axiom,
% 0.87/1.05 V_x = hAPP(c_fst(T_a,T_b),c_Pair(V_x,V_y,T_a,T_b)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_snd__conv_0,axiom,
% 0.87/1.05 hAPP(c_snd(T_b,T_a),c_Pair(V_a,V_b,T_b,T_a)) = V_b ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_snd__eqD_0,axiom,
% 0.87/1.05 V_y = hAPP(c_snd(T_b,T_a),c_Pair(V_x,V_y,T_b,T_a)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_conjI__realizer_0,axiom,
% 0.87/1.05 ( hBOOL(hAPP(V_P,hAPP(c_fst(T_a,T_b),c_Pair(V_p,V_q,T_a,T_b))))
% 0.87/1.05 | ~ hBOOL(hAPP(V_Q,V_q))
% 0.87/1.05 | ~ hBOOL(hAPP(V_P,V_p)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_conjI__realizer_1,axiom,
% 0.87/1.05 ( hBOOL(hAPP(V_Q,hAPP(c_snd(T_a,T_b),c_Pair(V_p,V_q,T_a,T_b))))
% 0.87/1.05 | ~ hBOOL(hAPP(V_Q,V_q))
% 0.87/1.05 | ~ hBOOL(hAPP(V_P,V_p)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_sup__inf__distrib2_0,axiom,
% 0.87/1.05 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.87/1.05 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_z,V_x,T_a),T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_sup__inf__distrib1_0,axiom,
% 0.87/1.05 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.87/1.05 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Un__Int__distrib_0,axiom,
% 0.87/1.05 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Un__Int__distrib2_0,axiom,
% 0.87/1.05 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_strict__linear__order__on__def_0,axiom,
% 0.87/1.05 ( c_Relation_Otrans(V_r,T_a)
% 0.87/1.05 | ~ c_Order__Relation_Ostrict__linear__order__on(V_A,V_r,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_insert__code_1,axiom,
% 0.87/1.05 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_insert__subset_2,axiom,
% 0.87/1.05 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
% 0.87/1.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.87/1.05 | ~ c_in(V_x,V_B,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Times__Diff__distrib1_0,axiom,
% 0.87/1.05 c_Product__Type_OSigma(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b),c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_inf__sup__aci_I4_J_0,axiom,
% 0.87/1.05 ( ~ class_Lattices_Olattice(T_a)
% 0.87/1.05 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_inf__left__idem_0,axiom,
% 0.87/1.05 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.05 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Int__left__absorb_0,axiom,
% 0.87/1.05 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Range__Un__eq_0,axiom,
% 0.87/1.05 c_Relation_ORange(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ORange(V_A,T_b,T_a),c_Relation_ORange(V_B,T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_wf__Int1_0,axiom,
% 0.87/1.05 ( c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(V_r,V_r_H,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)
% 0.87/1.05 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_wf__Int2_0,axiom,
% 0.87/1.05 ( c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(V_r_H,V_r,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)
% 0.87/1.05 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_insert__Diff_0,axiom,
% 0.87/1.05 ( c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = V_A
% 0.87/1.05 | ~ c_in(V_a,V_A,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_inf__idem_0,axiom,
% 0.87/1.05 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.87/1.05 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Int__absorb_0,axiom,
% 0.87/1.05 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_le__sup__iff_1,axiom,
% 0.87/1.05 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.87/1.05 | c_lessequals(V_y,V_z,T_a)
% 0.87/1.05 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_le__sup__iff_0,axiom,
% 0.87/1.05 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.87/1.05 | c_lessequals(V_x,V_z,T_a)
% 0.87/1.05 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_le__supI2_0,axiom,
% 0.87/1.05 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.87/1.05 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.87/1.05 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_le__supI1_0,axiom,
% 0.87/1.05 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.87/1.05 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.87/1.05 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_le__supE_1,axiom,
% 0.87/1.05 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.87/1.05 | c_lessequals(V_b,V_x,T_a)
% 0.87/1.05 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_le__supE_0,axiom,
% 0.87/1.05 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.87/1.05 | c_lessequals(V_a,V_x,T_a)
% 0.87/1.05 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Un__subset__iff_0,axiom,
% 0.87/1.05 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.87/1.05 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Un__subset__iff_1,axiom,
% 0.87/1.05 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.87/1.05 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_xt1_I6_J_0,axiom,
% 0.87/1.05 ( ~ class_Orderings_Oorder(T_a)
% 0.87/1.05 | c_lessequals(V_z,V_x,T_a)
% 0.87/1.05 | ~ c_lessequals(V_z,V_y,T_a)
% 0.87/1.05 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_order__trans_0,axiom,
% 0.87/1.05 ( ~ class_Orderings_Opreorder(T_a)
% 0.87/1.05 | c_lessequals(V_x,V_z,T_a)
% 0.87/1.05 | ~ c_lessequals(V_y,V_z,T_a)
% 0.87/1.05 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_equalityE_0,axiom,
% 0.87/1.05 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_subset__refl_0,axiom,
% 0.87/1.05 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_subset__trans_0,axiom,
% 0.87/1.05 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.87/1.05 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.87/1.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_predicate1D_0,axiom,
% 0.87/1.05 ( hBOOL(hAPP(V_Q,V_x))
% 0.87/1.05 | ~ hBOOL(hAPP(V_P,V_x))
% 0.87/1.05 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_wf__subset_0,axiom,
% 0.87/1.05 ( c_Wellfounded_Owf(V_p,T_a)
% 0.87/1.05 | ~ c_lessequals(V_p,V_r,tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.87/1.05 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_order__eq__iff_0,axiom,
% 0.87/1.05 ( ~ class_Orderings_Oorder(T_a)
% 0.87/1.05 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_order__eq__refl_0,axiom,
% 0.87/1.05 ( ~ class_Orderings_Opreorder(T_a)
% 0.87/1.05 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_antisym__subset_0,axiom,
% 0.87/1.05 ( c_Relation_Oantisym(V_r,T_a)
% 0.87/1.05 | ~ c_Relation_Oantisym(V_s,T_a)
% 0.87/1.05 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_rev__predicate1D_0,axiom,
% 0.87/1.05 ( hBOOL(hAPP(V_Q,V_x))
% 0.87/1.05 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
% 0.87/1.05 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_acyclic__subset_0,axiom,
% 0.87/1.05 ( c_Wellfounded_Oacyclic(V_r,T_a)
% 0.87/1.05 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.87/1.05 | ~ c_Wellfounded_Oacyclic(V_s,T_a) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_single__valued__subset_0,axiom,
% 0.87/1.05 ( c_Relation_Osingle__valued(V_r,T_a,T_b)
% 0.87/1.05 | ~ c_Relation_Osingle__valued(V_s,T_a,T_b)
% 0.87/1.05 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_image__is__empty_0,axiom,
% 0.87/1.05 ( c_Set_Oimage(V_f,V_A,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.87/1.05 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Int__mono_0,axiom,
% 0.87/1.05 ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.87/1.05 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 0.87/1.05 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Diff__Un_0,axiom,
% 0.87/1.05 c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Int__Diff_0,axiom,
% 0.87/1.05 c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_singleton__iff_1,axiom,
% 0.87/1.05 c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Domain__mono_0,axiom,
% 0.87/1.05 ( c_lessequals(c_Relation_ODomain(V_r,T_a,T_b),c_Relation_ODomain(V_s,T_a,T_b),tc_fun(T_a,tc_bool))
% 0.87/1.05 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_subset__singletonD_0,axiom,
% 0.87/1.05 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 0.87/1.05 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.87/1.05 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Diff__Int_0,axiom,
% 0.87/1.05 c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_Sigma__empty2_0,axiom,
% 0.87/1.05 c_Product__Type_OSigma(V_A,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool),T_a),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)) ).
% 0.87/1.05
% 0.87/1.05 cnf(cls_inf1I_0,axiom,
% 0.87/1.06 ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.87/1.06 | ~ hBOOL(hAPP(V_B,V_x))
% 0.87/1.06 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_double__diff_0,axiom,
% 0.87/1.06 ( c_HOL_Ominus__class_Ominus(V_B,c_HOL_Ominus__class_Ominus(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A
% 0.87/1.06 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.87/1.06 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_le__eqI_0,axiom,
% 0.87/1.06 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.87/1.06 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.87/1.06 | c_lessequals(V_y_H,V_x_H,T_a)
% 0.87/1.06 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_le__eqI_1,axiom,
% 0.87/1.06 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.87/1.06 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.87/1.06 | c_lessequals(V_y,V_x,T_a)
% 0.87/1.06 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_image__mono_0,axiom,
% 0.87/1.06 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))
% 0.87/1.06 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_subset__image__iff_2,axiom,
% 0.87/1.06 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool))
% 0.87/1.06 | c_lessequals(c_Set_Oimage(V_f,V_x,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_insert__mono_0,axiom,
% 0.87/1.06 ( c_lessequals(c_Set_Oinsert(V_a,V_C,T_a),c_Set_Oinsert(V_a,V_D,T_a),tc_fun(T_a,tc_bool))
% 0.87/1.06 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Un__empty_2,axiom,
% 0.87/1.06 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_image__Un_0,axiom,
% 0.87/1.06 c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_trancl__empty_0,axiom,
% 0.87/1.06 c_Transitive__Closure_Otrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_exI__realizer_0,axiom,
% 0.87/1.06 ( hBOOL(hAPP(hAPP(V_P,hAPP(c_snd(T_b,T_a),c_Pair(V_x,V_y,T_b,T_a))),hAPP(c_fst(T_b,T_a),c_Pair(V_x,V_y,T_b,T_a))))
% 0.87/1.06 | ~ hBOOL(hAPP(hAPP(V_P,V_y),V_x)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Range__empty__iff_0,axiom,
% 0.87/1.06 ( c_Relation_ORange(V_r,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.87/1.06 | V_r = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_bool)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Image__mono_0,axiom,
% 0.87/1.06 ( c_lessequals(c_Relation_OImage(V_r_H,V_A_H,T_a,T_b),c_Relation_OImage(V_r,V_A,T_a,T_b),tc_fun(T_b,tc_bool))
% 0.87/1.06 | ~ c_lessequals(V_A_H,V_A,tc_fun(T_a,tc_bool))
% 0.87/1.06 | ~ c_lessequals(V_r_H,V_r,tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_equiv__type_0,axiom,
% 0.87/1.06 ( c_lessequals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.87/1.06 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_linorder__linear_0,axiom,
% 0.87/1.06 ( ~ class_Orderings_Olinorder(T_a)
% 0.87/1.06 | c_lessequals(V_y,V_x,T_a)
% 0.87/1.06 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_strict__linear__order__on__def_1,axiom,
% 0.87/1.06 ( c_Relation_Oirrefl(V_r,T_a)
% 0.87/1.06 | ~ c_Order__Relation_Ostrict__linear__order__on(V_A,V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_acyclic__insert_2,axiom,
% 0.87/1.06 ( c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a)
% 0.87/1.06 | c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_Wellfounded_Oacyclic(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_acyclic__insert_1,axiom,
% 0.87/1.06 ( ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_converse__rtrancl__induct_0,axiom,
% 0.87/1.06 ( hBOOL(hAPP(V_P,V_a))
% 0.87/1.06 | c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1(V_P,V_b,V_r,T_a),c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2(V_P,V_b,V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ hBOOL(hAPP(V_P,V_b))
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rtrancl__induct_1,axiom,
% 0.87/1.06 ( hBOOL(hAPP(V_P,V_b))
% 0.87/1.06 | c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1(V_P,V_a,V_r,T_a),c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2(V_P,V_a,V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ hBOOL(hAPP(V_P,V_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_equiv__class__self_0,axiom,
% 0.87/1.06 ( c_in(V_a,c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),T_a)
% 0.87/1.06 | ~ c_in(V_a,V_A,T_a)
% 0.87/1.06 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rtrancl__Int__subset_0,axiom,
% 0.87/1.06 ( c_lessequals(c_Transitive__Closure_Ortrancl(V_r,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.87/1.06 | ~ c_lessequals(c_Relation_Orel__comp(c_Lattices_Olower__semilattice__class_Oinf(c_Transitive__Closure_Ortrancl(V_r,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),V_r,T_a,T_a,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.87/1.06 | ~ c_lessequals(c_Relation_OId(T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_equiv__class__nondisjoint_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(V_x,c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),tc_fun(T_a,tc_bool)),T_a)
% 0.87/1.06 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_subset__equiv__class_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(V_b,V_A,T_a)
% 0.87/1.06 | ~ c_lessequals(c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),tc_fun(T_a,tc_bool))
% 0.87/1.06 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_insert__image_0,axiom,
% 0.87/1.06 ( c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) = c_Set_Oimage(V_f,V_A,T_a,T_b)
% 0.87/1.06 | ~ c_in(V_x,V_A,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_image__subset__iff_0,axiom,
% 0.87/1.06 ( c_in(hAPP(V_f,V_x),V_B,T_a)
% 0.87/1.06 | ~ c_in(V_x,V_A,T_b)
% 0.87/1.06 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Image__singleton__iff_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_a,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a))
% 0.87/1.06 | ~ c_in(V_b,c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_b,T_a),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Image__singleton__iff_1,axiom,
% 0.87/1.06 ( c_in(V_b,c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_b,T_a),T_a)
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Times__eq__cancel2_0,axiom,
% 0.87/1.06 ( c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a) != c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a)
% 0.87/1.06 | ~ c_in(V_x,V_C,T_a)
% 0.87/1.06 | V_A = V_B ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_wf__insert_0,axiom,
% 0.87/1.06 ( c_Wellfounded_Owf(V_r,T_a)
% 0.87/1.06 | ~ c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_in__rtrancl__UnI_0,axiom,
% 0.87/1.06 ( c_in(V_x,c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(V_x,c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_in__rtrancl__UnI_1,axiom,
% 0.87/1.06 ( c_in(V_x,c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(V_x,c_Transitive__Closure_Ortrancl(V_S,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_trancl__mono_0,axiom,
% 0.87/1.06 ( c_in(V_p,c_Transitive__Closure_Otrancl(V_s,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.87/1.06 | ~ c_in(V_p,c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_equiv__class__eq_0,axiom,
% 0.87/1.06 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) = c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_equiv__class__eq__iff_0,axiom,
% 0.87/1.06 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) = c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_wf__union__merge_0,axiom,
% 0.87/1.06 ( c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),c_Relation_Orel__comp(V_S,V_R,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)
% 0.87/1.06 | ~ c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_wf__union__merge_1,axiom,
% 0.87/1.06 ( c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)
% 0.87/1.06 | ~ c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),c_Relation_Orel__comp(V_S,V_R,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_wf__no__loop_0,axiom,
% 0.87/1.06 ( c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.87/1.06 | c_Wellfounded_Owf(V_R,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_trancl__unfold_0,axiom,
% 0.87/1.06 c_Transitive__Closure_Otrancl(V_r,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_Orel__comp(c_Transitive__Closure_Otrancl(V_r,T_a),V_r,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rtrancl__reflcl__absorb_0,axiom,
% 0.87/1.06 c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) = c_Transitive__Closure_Ortrancl(V_R,T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rtrancl__reflcl_0,axiom,
% 0.87/1.06 c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rtrancl__empty_0,axiom,
% 0.87/1.06 c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) = c_Relation_OId(T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rtrancl__r__diff__Id_0,axiom,
% 0.87/1.06 c_Transitive__Closure_Ortrancl(c_HOL_Ominus__class_Ominus(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) = c_Transitive__Closure_Ortrancl(V_r,T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_acyclic__impl__antisym__rtrancl_0,axiom,
% 0.87/1.06 ( c_Relation_Oantisym(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a)
% 0.87/1.06 | ~ c_Wellfounded_Oacyclic(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_trans__O__subset_0,axiom,
% 0.87/1.06 ( c_lessequals(c_Relation_Orel__comp(V_r,V_r,T_a,T_a,T_a),V_r,tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.87/1.06 | ~ c_Relation_Otrans(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_sym__Un__converse_0,axiom,
% 0.87/1.06 c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_Oconverse(V_r,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_sym__Int__converse_0,axiom,
% 0.87/1.06 c_Relation_Osym(c_Lattices_Olower__semilattice__class_Oinf(V_r,c_Relation_Oconverse(V_r,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_trans__reflclI_0,axiom,
% 0.87/1.06 ( c_Relation_Otrans(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)
% 0.87/1.06 | ~ c_Relation_Otrans(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Image__Id__on_0,axiom,
% 0.87/1.06 c_Relation_OImage(c_Relation_OId__on(V_A,T_a),V_B,T_a,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_antisym__reflcl_0,axiom,
% 0.87/1.06 ( c_Relation_Oantisym(V_r,T_a)
% 0.87/1.06 | ~ c_Relation_Oantisym(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_antisym__reflcl_1,axiom,
% 0.87/1.06 ( c_Relation_Oantisym(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)
% 0.87/1.06 | ~ c_Relation_Oantisym(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_total__on__diff__Id_0,axiom,
% 0.87/1.06 ( c_Relation_Ototal__on(V_A,V_r,T_a)
% 0.87/1.06 | ~ c_Relation_Ototal__on(V_A,c_HOL_Ominus__class_Ominus(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_total__on__diff__Id_1,axiom,
% 0.87/1.06 ( c_Relation_Ototal__on(V_A,c_HOL_Ominus__class_Ominus(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)
% 0.87/1.06 | ~ c_Relation_Ototal__on(V_A,V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_sym__trans__comp__subset_0,axiom,
% 0.87/1.06 ( c_lessequals(c_Relation_Orel__comp(c_Relation_Oconverse(V_r,T_a,T_a),V_r,T_a,T_a,T_a),V_r,tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.87/1.06 | ~ c_Relation_Otrans(V_r,T_a)
% 0.87/1.06 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_tranclD2_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_x,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(V_R,V_x,V_y,T_a),T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_tranclD_1,axiom,
% 0.87/1.06 ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(V_R,V_x,V_y,T_a),V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_wf__insert_1,axiom,
% 0.87/1.06 ( ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_wf__insert_2,axiom,
% 0.87/1.06 ( c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a)
% 0.87/1.06 | c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_strict__linear__order__on__def_3,axiom,
% 0.87/1.06 ( c_Order__Relation_Ostrict__linear__order__on(V_A,V_r,T_a)
% 0.87/1.06 | ~ c_Relation_Ototal__on(V_A,V_r,T_a)
% 0.87/1.06 | ~ c_Relation_Oirrefl(V_r,T_a)
% 0.87/1.06 | ~ c_Relation_Otrans(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Nitpick_Orefl_H__def_1,axiom,
% 0.87/1.06 ( c_Nitpick_Orefl_H(V_r,T_a)
% 0.87/1.06 | ~ c_in(c_Pair(c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(V_r,T_a),c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_trans__diff__Id_0,axiom,
% 0.87/1.06 ( c_Relation_Otrans(c_HOL_Ominus__class_Ominus(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)
% 0.87/1.06 | ~ c_Relation_Oantisym(V_r,T_a)
% 0.87/1.06 | ~ c_Relation_Otrans(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Image__Int__eq_0,axiom,
% 0.87/1.06 ( c_Relation_OImage(V_R,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(V_R,V_A,T_b,T_a),c_Relation_OImage(V_R,V_B,T_b,T_a),tc_fun(T_a,tc_bool))
% 0.87/1.06 | ~ c_Relation_Osingle__valued(c_Relation_Oconverse(V_R,T_b,T_a),T_a,T_b) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_irrefl__def_1,axiom,
% 0.87/1.06 ( c_Relation_Oirrefl(V_r,T_a)
% 0.87/1.06 | c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1(V_r,T_a),c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1(V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Range__def__raw_0,axiom,
% 0.87/1.06 c_Relation_ORange(v_r,t_a,t_b) = c_Relation_ODomain(c_Relation_Oconverse(v_r,t_a,t_b),t_b,t_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_refl__on__comp__subset_0,axiom,
% 0.87/1.06 ( c_lessequals(V_r,c_Relation_Orel__comp(c_Relation_Oconverse(V_r,T_a,T_a),V_r,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.87/1.06 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rtrancl__unfold_0,axiom,
% 0.87/1.06 c_Transitive__Closure_Ortrancl(V_r,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OId(T_a),c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_r,T_a),V_r,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_reflcl__trancl_0,axiom,
% 0.87/1.06 c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(V_r,T_a),c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) = c_Transitive__Closure_Ortrancl(V_r,T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_trancl__reflcl_0,axiom,
% 0.87/1.06 c_Transitive__Closure_Otrancl(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) = c_Transitive__Closure_Ortrancl(V_r,T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Nitpick_Ortrancl__def_0,axiom,
% 0.87/1.06 c_Transitive__Closure_Ortrancl(V_r,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(V_r,T_a),c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_cuts__eq_1,axiom,
% 0.87/1.06 ( c_Recdef_Ocut(V_f,V_r,V_x,T_a,T_b) = c_Recdef_Ocut(V_g,V_r,V_x,T_a,T_b)
% 0.87/1.06 | c_in(c_Pair(c_List_Osko__Recdef__Xcuts__eq__1__1(V_f,V_g,V_r,V_x,T_a,T_b),V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Id__onE_1,axiom,
% 0.87/1.06 ( V_c = c_Pair(c_ATP__Linkup_Osko__Relation__XId__onE__1__1(V_A,V_c,T_a),c_ATP__Linkup_Osko__Relation__XId__onE__1__1(V_A,V_c,T_a),T_a,T_a)
% 0.87/1.06 | ~ c_in(V_c,c_Relation_OId__on(V_A,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Id__onE_0,axiom,
% 0.87/1.06 ( c_in(c_ATP__Linkup_Osko__Relation__XId__onE__1__1(V_A,V_c,T_a),V_A,T_a)
% 0.87/1.06 | ~ c_in(V_c,c_Relation_OId__on(V_A,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_wf__acc__iff_1,axiom,
% 0.87/1.06 ( c_Wellfounded_Owf(V_r,T_a)
% 0.87/1.06 | ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1(V_r,T_a),c_Wellfounded_Oacc(V_r,T_a),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_acc__wfI_0,axiom,
% 0.87/1.06 ( c_Wellfounded_Owf(V_r,T_a)
% 0.87/1.06 | ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1(V_r,T_a),c_Wellfounded_Oacc(V_r,T_a),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_IdE_0,axiom,
% 0.87/1.06 ( V_p = c_Pair(c_ATP__Linkup_Osko__Relation__XIdE__1__1(V_p,T_a),c_ATP__Linkup_Osko__Relation__XIdE__1__1(V_p,T_a),T_a,T_a)
% 0.87/1.06 | ~ c_in(V_p,c_Relation_OId(T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rel__compEpair_1,axiom,
% 0.87/1.06 ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(V_a,V_c,V_r,V_s,T_a,T_b,T_c),V_c,T_c,T_b),V_s,tc_prod(T_c,T_b))
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_c,T_a,T_b),c_Relation_Orel__comp(V_r,V_s,T_a,T_c,T_b),tc_prod(T_a,T_b)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rel__compEpair_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_a,c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(V_a,V_c,V_r,V_s,T_a,T_b,T_c),T_a,T_c),V_r,tc_prod(T_a,T_c))
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_c,T_a,T_b),c_Relation_Orel__comp(V_r,V_s,T_a,T_c,T_b),tc_prod(T_a,T_b)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_irrefl__trancl__rD_0,axiom,
% 0.87/1.06 ( ~ c_in(c_Pair(V_x,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(V_r,T_a),c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(V_r,T_a),T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_converse__tranclE_1,axiom,
% 0.87/1.06 ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1(V_r,V_x,V_z,T_a),V_z,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | c_in(c_Pair(V_x,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_z,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_tranclD_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_x,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(V_R,V_x,V_y,T_a),T_a,T_a),V_R,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_trancl_Ocases_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_a1,v_sko__Transitive__Closure__Xtrancl__Xcases__1(V_a1,V_a2,V_r),t_a,t_a),c_Transitive__Closure_Otrancl(V_r,t_a),tc_prod(t_a,t_a))
% 0.87/1.06 | c_in(c_Pair(V_a1,V_a2,t_a,t_a),V_r,tc_prod(t_a,t_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_a1,V_a2,t_a,t_a),c_Transitive__Closure_Otrancl(V_r,t_a),tc_prod(t_a,t_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_acyclic__def_0,axiom,
% 0.87/1.06 ( ~ c_in(c_Pair(V_x,V_x,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_Wellfounded_Oacyclic(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_tranclE_1,axiom,
% 0.87/1.06 ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1(V_a,V_b,V_r,T_a),V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_tranclE_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_a,c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1(V_a,V_b,V_r,T_a),T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_tranclD2_1,axiom,
% 0.87/1.06 ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(V_R,V_x,V_y,T_a),V_y,T_a,T_a),V_R,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_converse__tranclE_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_x,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1(V_r,V_x,V_z,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | c_in(c_Pair(V_x,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_z,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_trancl_Ocases_1,axiom,
% 0.87/1.06 ( c_in(c_Pair(v_sko__Transitive__Closure__Xtrancl__Xcases__1(V_a1,V_a2,V_r),V_a2,t_a,t_a),V_r,tc_prod(t_a,t_a))
% 0.87/1.06 | c_in(c_Pair(V_a1,V_a2,t_a,t_a),V_r,tc_prod(t_a,t_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_a1,V_a2,t_a,t_a),c_Transitive__Closure_Otrancl(V_r,t_a),tc_prod(t_a,t_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_wf__induct__rule_0,axiom,
% 0.87/1.06 ( hBOOL(hAPP(V_P,V_a))
% 0.87/1.06 | hBOOL(hAPP(V_P,V_y))
% 0.87/1.06 | ~ c_in(c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1(V_P,V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_wf__def_0,axiom,
% 0.87/1.06 ( hBOOL(hAPP(V_P,V_xa))
% 0.87/1.06 | hBOOL(hAPP(V_P,V_y))
% 0.87/1.06 | ~ c_in(c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1(V_P,V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_tfl__wf__induct_0,axiom,
% 0.87/1.06 ( hBOOL(hAPP(V_P,V_Ra))
% 0.87/1.06 | hBOOL(hAPP(V_P,V_y))
% 0.87/1.06 | ~ c_in(c_Pair(V_y,c_List_Osko__Recdef__Xtfl__wf__induct__1__1(V_P,V_R,T_a),T_a,T_a),V_R,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_Wellfounded_Owf(V_R,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_wf__induct_0,axiom,
% 0.87/1.06 ( hBOOL(hAPP(V_P,V_a))
% 0.87/1.06 | hBOOL(hAPP(V_P,V_y))
% 0.87/1.06 | ~ c_in(c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1(V_P,V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rtranclE_1,axiom,
% 0.87/1.06 ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1(V_a,V_b,V_r,T_a),V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | V_a = V_b
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_converse__rtranclE_1,axiom,
% 0.87/1.06 ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1(V_r,V_x,V_z,T_a),V_z,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | V_x = V_z
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_z,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_converse__rtranclE_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_x,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1(V_r,V_x,V_z,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | V_x = V_z
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_z,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_converse__rtrancl__induct_2,axiom,
% 0.87/1.06 ( hBOOL(hAPP(V_P,V_a))
% 0.87/1.06 | hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2(V_P,V_b,V_r,T_a)))
% 0.87/1.06 | ~ hBOOL(hAPP(V_P,V_b))
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_converse__rtrancl__induct_1,axiom,
% 0.87/1.06 ( hBOOL(hAPP(V_P,V_a))
% 0.87/1.06 | c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2(V_P,V_b,V_r,T_a),V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ hBOOL(hAPP(V_P,V_b))
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rtrancl__induct_0,axiom,
% 0.87/1.06 ( hBOOL(hAPP(V_P,V_b))
% 0.87/1.06 | c_in(c_Pair(V_a,c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1(V_P,V_a,V_r,T_a),T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ hBOOL(hAPP(V_P,V_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rtrancl__induct_3,axiom,
% 0.87/1.06 ( hBOOL(hAPP(V_P,V_b))
% 0.87/1.06 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2(V_P,V_a,V_r,T_a)))
% 0.87/1.06 | ~ hBOOL(hAPP(V_P,V_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rtrancl_Ocases_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_a1,v_sko__Transitive__Closure__Xrtrancl__Xcases__1(V_a1,V_a2,V_r),t_a,t_a),c_Transitive__Closure_Ortrancl(V_r,t_a),tc_prod(t_a,t_a))
% 0.87/1.06 | V_a2 = V_a1
% 0.87/1.06 | ~ c_in(c_Pair(V_a1,V_a2,t_a,t_a),c_Transitive__Closure_Ortrancl(V_r,t_a),tc_prod(t_a,t_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rtrancl__induct_2,axiom,
% 0.87/1.06 ( hBOOL(hAPP(V_P,V_b))
% 0.87/1.06 | hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1(V_P,V_a,V_r,T_a)))
% 0.87/1.06 | ~ hBOOL(hAPP(V_P,V_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rtrancl_Ocases_1,axiom,
% 0.87/1.06 ( c_in(c_Pair(v_sko__Transitive__Closure__Xrtrancl__Xcases__1(V_a1,V_a2,V_r),V_a2,t_a,t_a),V_r,tc_prod(t_a,t_a))
% 0.87/1.06 | V_a2 = V_a1
% 0.87/1.06 | ~ c_in(c_Pair(V_a1,V_a2,t_a,t_a),c_Transitive__Closure_Ortrancl(V_r,t_a),tc_prod(t_a,t_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_converse__rtrancl__induct_3,axiom,
% 0.87/1.06 ( hBOOL(hAPP(V_P,V_a))
% 0.87/1.06 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1(V_P,V_b,V_r,T_a)))
% 0.87/1.06 | ~ hBOOL(hAPP(V_P,V_b))
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rtranclE_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_a,c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1(V_a,V_b,V_r,T_a),T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | V_a = V_b
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_SigmaE_0,axiom,
% 0.87/1.06 ( c_in(c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1(V_A,V_B,V_c,T_a,T_b),V_A,T_a)
% 0.87/1.06 | ~ c_in(V_c,c_Product__Type_OSigma(V_A,V_B,T_a,T_b),tc_prod(T_a,T_b)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_wf__in__rel_0,axiom,
% 0.87/1.06 ( c_Wellfounded_OwfP(c_FunDef_Oin__rel(V_R,T_a,T_a),T_a)
% 0.87/1.06 | ~ c_Wellfounded_Owf(V_R,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_irrefl__diff__Id_0,axiom,
% 0.87/1.06 c_Relation_Oirrefl(c_HOL_Ominus__class_Ominus(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_irrefl__tranclI_0,axiom,
% 0.87/1.06 ( c_Lattices_Olower__semilattice__class_Oinf(c_Relation_Oconverse(V_r,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_x,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_eq__equiv__class_0,axiom,
% 0.87/1.06 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) != c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)
% 0.87/1.06 | c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(V_b,V_A,T_a)
% 0.87/1.06 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_equiv__class__eq__iff_3,axiom,
% 0.87/1.06 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) != c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)
% 0.87/1.06 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a)
% 0.87/1.06 | c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(V_y,V_A,T_a)
% 0.87/1.06 | ~ c_in(V_x,V_A,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_eq__equiv__class__iff_1,axiom,
% 0.87/1.06 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) = c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(V_y,V_A,T_a)
% 0.87/1.06 | ~ c_in(V_x,V_A,T_a)
% 0.87/1.06 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_eq__equiv__class__iff_0,axiom,
% 0.87/1.06 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) != c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)
% 0.87/1.06 | ~ c_in(V_y,V_A,T_a)
% 0.87/1.06 | ~ c_in(V_x,V_A,T_a)
% 0.87/1.06 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a)
% 0.87/1.06 | c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_snd__eq__Range_0,axiom,
% 0.87/1.06 c_Set_Oimage(c_snd(T_b,T_a),V_R,tc_prod(T_b,T_a),T_a) = c_Relation_ORange(V_R,T_b,T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_trancl__subset__Sigma__aux_0,axiom,
% 0.87/1.06 ( c_in(V_a,V_A,T_a)
% 0.87/1.06 | V_a = V_b
% 0.87/1.06 | ~ c_lessequals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_fst__eq__Domain_0,axiom,
% 0.87/1.06 c_Set_Oimage(c_fst(T_a,T_b),V_R,tc_prod(T_a,T_b),T_a) = c_Relation_ODomain(V_R,T_a,T_b) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_r__into__rtrancl_0,axiom,
% 0.87/1.06 ( c_in(V_p,c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(V_p,V_r,tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_r__into__trancl_H_0,axiom,
% 0.87/1.06 ( c_in(V_p,c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(V_p,V_r,tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rtrancl__into__trancl2_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rtrancl__into__trancl1_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rtrancl__eq__or__trancl_2,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | V_x = V_y ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rtrancl__eq__or__trancl_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | V_x = V_y
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rtranclD_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | V_a = V_b
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rtrancl__converseI_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_y,V_x,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rtrancl__converseD_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_y,V_x,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_single__valued__confluent_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_z,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | c_in(c_Pair(V_y,V_z,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_z,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_Relation_Osingle__valued(V_r,T_a,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_trancl__into__rtrancl_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_trancl__rtrancl__trancl_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rtrancl__trancl__trancl_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_x,V_z,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_y,V_z,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_trancl__converseD_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_x,V_y,T_a,T_a),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_trancl__converseI_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Product__Type_Osplit_0,axiom,
% 0.87/1.06 hAPP(c_split(V_f,T_b,T_c,T_a),c_Pair(V_a,V_b,T_b,T_c)) = hAPP(hAPP(V_f,V_a),V_b) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_split__case__cert_0,axiom,
% 0.87/1.06 hAPP(c_split(V_f,T_a,T_b,T_c),c_Pair(V_a,V_b,T_a,T_b)) = hAPP(hAPP(V_f,V_a),V_b) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_splitD_H_0,axiom,
% 0.87/1.06 ( hBOOL(hAPP(hAPP(hAPP(V_R,V_a),V_b),V_c))
% 0.87/1.06 | ~ hBOOL(hAPP(hAPP(c_split(V_R,T_a,T_b,tc_fun(T_c,tc_bool)),c_Pair(V_a,V_b,T_a,T_b)),V_c)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_imageI_0,axiom,
% 0.87/1.06 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)
% 0.87/1.06 | ~ c_in(V_x,V_A,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_image__eqI_0,axiom,
% 0.87/1.06 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)
% 0.87/1.06 | ~ c_in(V_x,V_A,T_b) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_image__iff_2,axiom,
% 0.87/1.06 ( ~ c_in(V_x,V_A,T_b)
% 0.87/1.06 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rev__image__eqI_0,axiom,
% 0.87/1.06 ( ~ c_in(V_x,V_A,T_aa)
% 0.87/1.06 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_acc__wfD_0,axiom,
% 0.87/1.06 ( c_in(V_x,c_Wellfounded_Oacc(V_r,T_a),T_a)
% 0.87/1.06 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_single__valued__Id__on_0,axiom,
% 0.87/1.06 c_Relation_Osingle__valued(c_Relation_OId__on(V_A,T_a),T_a,T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_ImageE_1,axiom,
% 0.87/1.06 ( c_in(c_ATP__Linkup_Osko__Relation__XImageE__1__1(V_A,V_b,V_r,T_b,T_a),V_A,T_b)
% 0.87/1.06 | ~ c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_sym__trancl_0,axiom,
% 0.87/1.06 ( c_Relation_Osym(c_Transitive__Closure_Otrancl(V_r,T_a),T_a)
% 0.87/1.06 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_acc__induct_2,axiom,
% 0.87/1.06 ( hBOOL(hAPP(V_P,V_a))
% 0.87/1.06 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(V_P,V_r,T_a)))
% 0.87/1.06 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_trancl__id_0,axiom,
% 0.87/1.06 ( c_Transitive__Closure_Otrancl(V_r,T_a) = V_r
% 0.87/1.06 | ~ c_Relation_Otrans(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_acc_Oinducts_2,axiom,
% 0.87/1.06 ( hBOOL(hAPP(V_P,V_x))
% 0.87/1.06 | ~ hBOOL(hAPP(V_P,v_sko__Wellfounded__Xacc__Xinducts__1(V_P,V_r)))
% 0.87/1.06 | ~ c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_acc__induct__rule_0,axiom,
% 0.87/1.06 ( hBOOL(hAPP(V_P,V_a))
% 0.87/1.06 | c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(V_P,V_r,T_a),c_Wellfounded_Oacc(V_r,T_a),T_a)
% 0.87/1.06 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_sym__converse_0,axiom,
% 0.87/1.06 ( c_Relation_Osym(V_r,T_a)
% 0.87/1.06 | ~ c_Relation_Osym(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_sym__converse_1,axiom,
% 0.87/1.06 ( c_Relation_Osym(c_Relation_Oconverse(V_r,T_a,T_a),T_a)
% 0.87/1.06 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_trancl__domain_0,axiom,
% 0.87/1.06 c_Relation_ODomain(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a) = c_Relation_ODomain(V_r,T_a,T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Image__iff_0,axiom,
% 0.87/1.06 ( c_in(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(V_A,V_b,V_r,T_b,T_a),V_A,T_b)
% 0.87/1.06 | ~ c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_not__acc__down_1,axiom,
% 0.87/1.06 ( ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(V_R,V_x,T_a),c_Wellfounded_Oacc(V_R,T_a),T_a)
% 0.87/1.06 | c_in(V_x,c_Wellfounded_Oacc(V_R,T_a),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_sym__Id_0,axiom,
% 0.87/1.06 c_Relation_Osym(c_Relation_OId(T_a),T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_trans__Id__on_0,axiom,
% 0.87/1.06 c_Relation_Otrans(c_Relation_OId__on(V_A,T_a),T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Id__O__R_0,axiom,
% 0.87/1.06 c_Relation_Orel__comp(c_Relation_OId(T_a),V_R,T_a,T_a,T_b) = V_R ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_R__O__Id_0,axiom,
% 0.87/1.06 c_Relation_Orel__comp(V_R,c_Relation_OId(T_b),T_a,T_b,T_b) = V_R ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_antisym__Id__on_0,axiom,
% 0.87/1.06 c_Relation_Oantisym(c_Relation_OId__on(V_A,T_a),T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_wf__converse__trancl_0,axiom,
% 0.87/1.06 ( c_Wellfounded_Owf(c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a),T_a)
% 0.87/1.06 | ~ c_Wellfounded_Owf(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_acc__induct__rule_2,axiom,
% 0.87/1.06 ( hBOOL(hAPP(V_P,V_a))
% 0.87/1.06 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(V_P,V_r,T_a)))
% 0.87/1.06 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_refl__on__converse_0,axiom,
% 0.87/1.06 ( c_Relation_Orefl__on(V_A,V_r,T_a)
% 0.87/1.06 | ~ c_Relation_Orefl__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_refl__on__converse_1,axiom,
% 0.87/1.06 ( c_Relation_Orefl__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a)
% 0.87/1.06 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_sym__rtrancl_0,axiom,
% 0.87/1.06 ( c_Relation_Osym(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a)
% 0.87/1.06 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_wf__comp__self_0,axiom,
% 0.87/1.06 ( c_Wellfounded_Owf(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),T_a)
% 0.87/1.06 | ~ c_Wellfounded_Owf(V_R,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_wf__comp__self_1,axiom,
% 0.87/1.06 ( c_Wellfounded_Owf(V_R,T_a)
% 0.87/1.06 | ~ c_Wellfounded_Owf(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Image__Id_0,axiom,
% 0.87/1.06 c_Relation_OImage(c_Relation_OId(T_a),V_A,T_a,T_a) = V_A ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_single__valued__Id_0,axiom,
% 0.87/1.06 c_Relation_Osingle__valued(c_Relation_OId(T_a),T_a,T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Domain__Id__on_0,axiom,
% 0.87/1.06 c_Relation_ODomain(c_Relation_OId__on(V_A,T_a),T_a,T_a) = V_A ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_sym__conv__converse__eq_0,axiom,
% 0.87/1.06 ( c_Relation_Oconverse(V_r,T_a,T_a) = V_r
% 0.87/1.06 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_sym__conv__converse__eq_1,axiom,
% 0.87/1.06 ( c_Relation_Oconverse(V_r,T_a,T_a) != V_r
% 0.87/1.06 | c_Relation_Osym(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_trancl__range_0,axiom,
% 0.87/1.06 c_Relation_ORange(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a) = c_Relation_ORange(V_r,T_a,T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_trans__trancl_0,axiom,
% 0.87/1.06 c_Relation_Otrans(c_Transitive__Closure_Otrancl(V_r,T_a),T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_converse__rel__comp_0,axiom,
% 0.87/1.06 c_Relation_Oconverse(c_Relation_Orel__comp(V_r,V_s,T_b,T_c,T_a),T_b,T_a) = c_Relation_Orel__comp(c_Relation_Oconverse(V_s,T_c,T_a),c_Relation_Oconverse(V_r,T_b,T_c),T_a,T_c,T_b) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_sym__Id__on_0,axiom,
% 0.87/1.06 c_Relation_Osym(c_Relation_OId__on(V_A,T_a),T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_refl__on__Id__on_0,axiom,
% 0.87/1.06 c_Relation_Orefl__on(V_A,c_Relation_OId__on(V_A,T_a),T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_wf__inv__image_0,axiom,
% 0.87/1.06 ( c_Wellfounded_Owf(c_Relation_Oinv__image(V_r,V_f,T_a,T_b),T_b)
% 0.87/1.06 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_r__comp__rtrancl__eq_0,axiom,
% 0.87/1.06 c_Relation_Orel__comp(V_r,c_Transitive__Closure_Ortrancl(V_r,T_a),T_a,T_a,T_a) = c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_r,T_a),V_r,T_a,T_a,T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_sym__inv__image_0,axiom,
% 0.87/1.06 ( c_Relation_Osym(c_Relation_Oinv__image(V_r,V_f,T_a,T_b),T_b)
% 0.87/1.06 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rtrancl__trancl__absorb_0,axiom,
% 0.87/1.06 c_Transitive__Closure_Otrancl(c_Transitive__Closure_Ortrancl(V_R,T_a),T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_trans__rtrancl_0,axiom,
% 0.87/1.06 c_Relation_Otrans(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_trans__converse_0,axiom,
% 0.87/1.06 ( c_Relation_Otrans(V_r,T_a)
% 0.87/1.06 | ~ c_Relation_Otrans(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_trans__converse_1,axiom,
% 0.87/1.06 ( c_Relation_Otrans(c_Relation_Oconverse(V_r,T_a,T_a),T_a)
% 0.87/1.06 | ~ c_Relation_Otrans(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_converse__Id_0,axiom,
% 0.87/1.06 c_Relation_Oconverse(c_Relation_OId(T_a),T_a,T_a) = c_Relation_OId(T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_wf__trancl_0,axiom,
% 0.87/1.06 ( c_Wellfounded_Owf(c_Transitive__Closure_Otrancl(V_r,T_a),T_a)
% 0.87/1.06 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_O__assoc_0,axiom,
% 0.87/1.06 c_Relation_Orel__comp(c_Relation_Orel__comp(V_R,V_S,T_a,T_d,T_c),V_T,T_a,T_c,T_b) = c_Relation_Orel__comp(V_R,c_Relation_Orel__comp(V_S,V_T,T_d,T_c,T_b),T_a,T_d,T_b) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_converse__inv__image_0,axiom,
% 0.87/1.06 c_Relation_Oconverse(c_Relation_Oinv__image(V_R,V_f,T_b,T_a),T_a,T_a) = c_Relation_Oinv__image(c_Relation_Oconverse(V_R,T_b,T_b),V_f,T_b,T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_trancl__converse_0,axiom,
% 0.87/1.06 c_Transitive__Closure_Otrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a) = c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_trans__inv__image_0,axiom,
% 0.87/1.06 ( c_Relation_Otrans(c_Relation_Oinv__image(V_r,V_f,T_a,T_b),T_b)
% 0.87/1.06 | ~ c_Relation_Otrans(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_converse__Id__on_0,axiom,
% 0.87/1.06 c_Relation_Oconverse(c_Relation_OId__on(V_A,T_a),T_a,T_a) = c_Relation_OId__on(V_A,T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_comp__equivI_0,axiom,
% 0.87/1.06 ( c_Relation_Orel__comp(c_Relation_Oconverse(V_r,T_a,T_a),V_r,T_a,T_a,T_a) != V_r
% 0.87/1.06 | c_Equiv__Relations_Oequiv(c_Relation_ODomain(V_r,T_a,T_a),V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_antisym__Id_0,axiom,
% 0.87/1.06 c_Relation_Oantisym(c_Relation_OId(T_a),T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Range__converse_0,axiom,
% 0.87/1.06 c_Relation_ORange(c_Relation_Oconverse(V_r,T_a,T_b),T_b,T_a) = c_Relation_ODomain(V_r,T_a,T_b) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_wf__eq__minimal_0,axiom,
% 0.87/1.06 ( c_in(c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(V_Q,V_r,T_a),V_Q,T_a)
% 0.87/1.06 | ~ c_in(V_xa,V_Q,T_a)
% 0.87/1.06 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Range__Id__on_0,axiom,
% 0.87/1.06 c_Relation_ORange(c_Relation_OId__on(V_A,T_a),T_a,T_a) = V_A ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_single__valued__rel__comp_0,axiom,
% 0.87/1.06 ( c_Relation_Osingle__valued(c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c),T_a,T_c)
% 0.87/1.06 | ~ c_Relation_Osingle__valued(V_s,T_b,T_c)
% 0.87/1.06 | ~ c_Relation_Osingle__valued(V_r,T_a,T_b) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_converse__converse_0,axiom,
% 0.87/1.06 c_Relation_Oconverse(c_Relation_Oconverse(V_r,T_a,T_b),T_b,T_a) = V_r ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_trans__Id_0,axiom,
% 0.87/1.06 c_Relation_Otrans(c_Relation_OId(T_a),T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_equiv__comp__eq_0,axiom,
% 0.87/1.06 ( c_Relation_Orel__comp(c_Relation_Oconverse(V_r,T_a,T_a),V_r,T_a,T_a,T_a) = V_r
% 0.87/1.06 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rtrancl__idemp__self__comp_0,axiom,
% 0.87/1.06 c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),T_a,T_a,T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_antisym__converse_0,axiom,
% 0.87/1.06 ( c_Relation_Oantisym(V_r,T_a)
% 0.87/1.06 | ~ c_Relation_Oantisym(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_antisym__converse_1,axiom,
% 0.87/1.06 ( c_Relation_Oantisym(c_Relation_Oconverse(V_r,T_a,T_a),T_a)
% 0.87/1.06 | ~ c_Relation_Oantisym(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_acc_Oinduct_2,axiom,
% 0.87/1.06 ( hBOOL(hAPP(V_P,V_x))
% 0.87/1.06 | ~ hBOOL(hAPP(V_P,v_sko__Wellfounded__Xacc__Xinduct__1(V_P,V_r)))
% 0.87/1.06 | ~ c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_equiv_Orefl__on_0,axiom,
% 0.87/1.06 ( c_Relation_Orefl__on(V_A,V_r,T_a)
% 0.87/1.06 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rtrancl__converse_0,axiom,
% 0.87/1.06 c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a) = c_Relation_Oconverse(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a,T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_wfE__min_0,axiom,
% 0.87/1.06 ( c_in(c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(V_Q,V_R,T_a),V_Q,T_a)
% 0.87/1.06 | ~ c_in(V_x,V_Q,T_a)
% 0.87/1.06 | ~ c_Wellfounded_Owf(V_R,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_equiv_Osym_0,axiom,
% 0.87/1.06 ( c_Relation_Osym(V_r,T_a)
% 0.87/1.06 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_acc_OaccI_1,axiom,
% 0.87/1.06 ( c_in(V_x,c_Wellfounded_Oacc(V_r,T_a),T_a)
% 0.87/1.06 | ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(V_r,V_x,T_a),c_Wellfounded_Oacc(V_r,T_a),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_congruent2__implies__congruent_0,axiom,
% 0.87/1.06 ( c_Equiv__Relations_Ocongruent(V_r2,hAPP(V_f,V_a),T_b,T_c)
% 0.87/1.06 | ~ c_in(V_a,V_A,T_a)
% 0.87/1.06 | ~ c_Equiv__Relations_Ocongruent2(V_r1,V_r2,V_f,T_a,T_b,T_c)
% 0.87/1.06 | ~ c_Equiv__Relations_Oequiv(V_A,V_r1,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Domain__converse_0,axiom,
% 0.87/1.06 c_Relation_ODomain(c_Relation_Oconverse(V_r,T_b,T_a),T_a,T_b) = c_Relation_ORange(V_r,T_b,T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_trancl__unfold__right_0,axiom,
% 0.87/1.06 c_Transitive__Closure_Otrancl(V_r,T_a) = c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_r,T_a),V_r,T_a,T_a,T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_trancl__unfold__left_0,axiom,
% 0.87/1.06 c_Transitive__Closure_Otrancl(V_r,T_a) = c_Relation_Orel__comp(V_r,c_Transitive__Closure_Ortrancl(V_r,T_a),T_a,T_a,T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Range__def_0,axiom,
% 0.87/1.06 c_Relation_ORange(V_r,T_b,T_a) = c_Relation_ODomain(c_Relation_Oconverse(V_r,T_b,T_a),T_a,T_b) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_total__on__converse_0,axiom,
% 0.87/1.06 ( c_Relation_Ototal__on(V_A,V_r,T_a)
% 0.87/1.06 | ~ c_Relation_Ototal__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_total__on__converse_1,axiom,
% 0.87/1.06 ( c_Relation_Ototal__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a)
% 0.87/1.06 | ~ c_Relation_Ototal__on(V_A,V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_equiv_Otrans_0,axiom,
% 0.87/1.06 ( c_Relation_Otrans(V_r,T_a)
% 0.87/1.06 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_acc__induct_0,axiom,
% 0.87/1.06 ( hBOOL(hAPP(V_P,V_a))
% 0.87/1.06 | c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(V_P,V_r,T_a),c_Wellfounded_Oacc(V_r,T_a),T_a)
% 0.87/1.06 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_trancl__rtrancl__absorb_0,axiom,
% 0.87/1.06 c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Otrancl(V_R,T_a),T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rtrancl__idemp_0,axiom,
% 0.87/1.06 c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a) = c_Transitive__Closure_Ortrancl(V_r,T_a) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_assms_I3_J_0,axiom,
% 0.87/1.06 c_Arrow__Order__Mirabelle_OIIA(v_F) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_u_0,axiom,
% 0.87/1.06 c_Arrow__Order__Mirabelle_Ounanimity(v_F) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_ImageE_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XImageE__1__1(V_A,V_b,V_r,T_b,T_a),V_b,T_b,T_a),V_r,tc_prod(T_b,T_a))
% 0.87/1.06 | ~ c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_not__acc__down_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(V_R,V_x,T_a),V_x,T_a,T_a),V_R,tc_prod(T_a,T_a))
% 0.87/1.06 | c_in(V_x,c_Wellfounded_Oacc(V_R,T_a),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_acc__induct__rule_1,axiom,
% 0.87/1.06 ( hBOOL(hAPP(V_P,V_a))
% 0.87/1.06 | hBOOL(hAPP(V_P,V_y))
% 0.87/1.06 | ~ c_in(c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(V_P,V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_acc_Oinduct_1,axiom,
% 0.87/1.06 ( hBOOL(hAPP(V_P,V_x))
% 0.87/1.06 | hBOOL(hAPP(V_P,V_y))
% 0.87/1.06 | ~ c_in(c_Pair(V_y,v_sko__Wellfounded__Xacc__Xinduct__1(V_P,V_r),t_a,t_a),V_r,tc_prod(t_a,t_a))
% 0.87/1.06 | ~ c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_wfE__min_1,axiom,
% 0.87/1.06 ( ~ c_in(V_y,V_Q,T_a)
% 0.87/1.06 | ~ c_in(c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(V_Q,V_R,T_a),T_a,T_a),V_R,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(V_x,V_Q,T_a)
% 0.87/1.06 | ~ c_Wellfounded_Owf(V_R,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_RangeE_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRangeE__1__1(V_b,V_r,T_a,T_b),V_b,T_b,T_a),V_r,tc_prod(T_b,T_a))
% 0.87/1.06 | ~ c_in(V_b,c_Relation_ORange(V_r,T_b,T_a),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_acc_OaccI_0,axiom,
% 0.87/1.06 ( c_in(V_x,c_Wellfounded_Oacc(V_r,T_a),T_a)
% 0.87/1.06 | c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(V_r,V_x,T_a),V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_acc__downwards__aux_0,axiom,
% 0.87/1.06 ( c_in(V_b,c_Wellfounded_Oacc(V_r,T_a),T_a)
% 0.87/1.06 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a)
% 0.87/1.06 | ~ c_in(c_Pair(V_b,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_acc__downwards_0,axiom,
% 0.87/1.06 ( c_in(V_b,c_Wellfounded_Oacc(V_r,T_a),T_a)
% 0.87/1.06 | ~ c_in(c_Pair(V_b,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_acc_Oinducts_0,axiom,
% 0.87/1.06 ( hBOOL(hAPP(V_P,V_x))
% 0.87/1.06 | c_in(V_ya,c_Wellfounded_Oacc(V_r,t_a),t_a)
% 0.87/1.06 | ~ c_in(c_Pair(V_ya,v_sko__Wellfounded__Xacc__Xinducts__1(V_P,V_r),t_a,t_a),V_r,tc_prod(t_a,t_a))
% 0.87/1.06 | ~ c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Not__Domain__rtrancl_1,axiom,
% 0.87/1.06 ( c_in(V_x,c_Relation_ODomain(V_R,T_a,T_a),T_a)
% 0.87/1.06 | c_in(c_Pair(V_x,V_x,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_acc_Oinducts_1,axiom,
% 0.87/1.06 ( hBOOL(hAPP(V_P,V_x))
% 0.87/1.06 | hBOOL(hAPP(V_P,V_y))
% 0.87/1.06 | ~ c_in(c_Pair(V_y,v_sko__Wellfounded__Xacc__Xinducts__1(V_P,V_r),t_a,t_a),V_r,tc_prod(t_a,t_a))
% 0.87/1.06 | ~ c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_pair__imageI_0,axiom,
% 0.87/1.06 ( c_in(hAPP(hAPP(V_f,V_a),V_b),c_Set_Oimage(c_split(V_f,T_a,T_b,T_c),V_A,tc_prod(T_a,T_b),T_c),T_c)
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_A,tc_prod(T_a,T_b)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_DomainE_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_a,c_ATP__Linkup_Osko__Relation__XDomainE__1__1(V_a,V_r,T_a,T_b),T_a,T_b),V_r,tc_prod(T_a,T_b))
% 0.87/1.06 | ~ c_in(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_acc_Oinduct_0,axiom,
% 0.87/1.06 ( hBOOL(hAPP(V_P,V_x))
% 0.87/1.06 | c_in(V_ya,c_Wellfounded_Oacc(V_r,t_a),t_a)
% 0.87/1.06 | ~ c_in(c_Pair(V_ya,v_sko__Wellfounded__Xacc__Xinduct__1(V_P,V_r),t_a,t_a),V_r,tc_prod(t_a,t_a))
% 0.87/1.06 | ~ c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_acc__induct_1,axiom,
% 0.87/1.06 ( hBOOL(hAPP(V_P,V_a))
% 0.87/1.06 | hBOOL(hAPP(V_P,V_y))
% 0.87/1.06 | ~ c_in(c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(V_P,V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_wf__eq__minimal_1,axiom,
% 0.87/1.06 ( ~ c_in(V_y,V_Q,T_a)
% 0.87/1.06 | ~ c_in(c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(V_Q,V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(V_xa,V_Q,T_a)
% 0.87/1.06 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Domain__iff_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_a,c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1(V_a,V_r,T_a,T_b),T_a,T_b),V_r,tc_prod(T_a,T_b))
% 0.87/1.06 | ~ c_in(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Image__iff_1,axiom,
% 0.87/1.06 ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(V_A,V_b,V_r,T_b,T_a),V_b,T_b,T_a),V_r,tc_prod(T_b,T_a))
% 0.87/1.06 | ~ c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Not__Domain__rtrancl_0,axiom,
% 0.87/1.06 ( V_x = V_y
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | c_in(V_x,c_Relation_ODomain(V_R,T_a,T_a),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Range__iff_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRange__iff__1__1(V_a,V_r,T_a,T_b),V_a,T_b,T_a),V_r,tc_prod(T_b,T_a))
% 0.87/1.06 | ~ c_in(V_a,c_Relation_ORange(V_r,T_b,T_a),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_mem__splitI_0,axiom,
% 0.87/1.06 ( c_in(V_z,hAPP(c_split(V_c,T_b,T_c,tc_fun(T_a,tc_bool)),c_Pair(V_a,V_b,T_b,T_c)),T_a)
% 0.87/1.06 | ~ c_in(V_z,hAPP(hAPP(V_c,V_a),V_b),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_congruent2_Ocongruent2_0,axiom,
% 0.87/1.06 ( hAPP(hAPP(V_f,V_y1),V_y2) = hAPP(hAPP(V_f,V_z1),V_z2)
% 0.87/1.06 | ~ c_in(c_Pair(V_y2,V_z2,T_b,T_b),V_r2,tc_prod(T_b,T_b))
% 0.87/1.06 | ~ c_in(c_Pair(V_y1,V_z1,T_a,T_a),V_r1,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_Equiv__Relations_Ocongruent2(V_r1,V_r2,V_f,T_a,T_b,T_c) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_single__valuedD_0,axiom,
% 0.87/1.06 ( V_y = V_z
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_z,T_a,T_b),V_r,tc_prod(T_a,T_b))
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_y,T_a,T_b),V_r,tc_prod(T_a,T_b))
% 0.87/1.06 | ~ c_Relation_Osingle__valued(V_r,T_a,T_b) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_tfl__cut__apply_0,axiom,
% 0.87/1.06 ( hAPP(c_Recdef_Ocut(V_f,V_R,V_a,T_a,T_b),V_x) = hAPP(V_f,V_x)
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_a,T_a,T_a),V_R,tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_cut__apply_0,axiom,
% 0.87/1.06 ( hAPP(c_Recdef_Ocut(V_f,V_r,V_a,T_a,T_b),V_x) = hAPP(V_f,V_x)
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_in__rel__def_1,axiom,
% 0.87/1.06 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(V_R,T_a,T_b),V_x),V_y))
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_y,T_a,T_b),V_R,tc_prod(T_a,T_b)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_in__rel__def_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_x,V_y,T_a,T_b),V_R,tc_prod(T_a,T_b))
% 0.87/1.06 | ~ hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(V_R,T_a,T_b),V_x),V_y)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_trans__def_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_x,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_y,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_Relation_Otrans(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_transD_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_a,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_Relation_Otrans(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_converse__iff_1,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_a,V_b,T_a,T_b),c_Relation_Oconverse(V_r,T_b,T_a),tc_prod(T_a,T_b))
% 0.87/1.06 | ~ c_in(c_Pair(V_b,V_a,T_b,T_a),V_r,tc_prod(T_b,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_converseI_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_b,V_a,T_b,T_a),c_Relation_Oconverse(V_r,T_a,T_b),tc_prod(T_b,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_converseD_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_b,V_a,T_b,T_a),V_r,tc_prod(T_b,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),c_Relation_Oconverse(V_r,T_b,T_a),tc_prod(T_a,T_b)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_irrefl__def_0,axiom,
% 0.87/1.06 ( ~ c_in(c_Pair(V_x,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_Relation_Oirrefl(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Transitive__Closure_Otrancl__into__trancl_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_trancl__into__trancl2_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rtrancl_Ortrancl__into__rtrancl_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_converse__rtrancl__into__rtrancl_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_trancl_Or__into__trancl_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rtrancl__trans_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rtrancl_Ortrancl__refl_0,axiom,
% 0.87/1.06 c_in(c_Pair(V_a,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rtrancl__eq__or__trancl_1,axiom,
% 0.87/1.06 c_in(c_Pair(V_x,V_x,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_wf__asym_0,axiom,
% 0.87/1.06 ( ~ c_in(c_Pair(V_x,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_antisym__def_0,axiom,
% 0.87/1.06 ( V_x = V_y
% 0.87/1.06 | ~ c_in(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_Relation_Oantisym(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_antisymD_0,axiom,
% 0.87/1.06 ( V_a = V_b
% 0.87/1.06 | ~ c_in(c_Pair(V_b,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_Relation_Oantisym(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_congruent_Ocongruent_0,axiom,
% 0.87/1.06 ( hAPP(V_f,V_y) = hAPP(V_f,V_z)
% 0.87/1.06 | ~ c_in(c_Pair(V_y,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_Equiv__Relations_Ocongruent(V_r,V_f,T_a,T_b) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Id__on__iff_0,axiom,
% 0.87/1.06 ( V_x = V_y
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Relation_OId__on(V_A,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_cuts__eq_0,axiom,
% 0.87/1.06 ( c_Recdef_Ocut(V_f,V_r,V_x,T_a,T_b) != c_Recdef_Ocut(V_g,V_r,V_x,T_a,T_b)
% 0.87/1.06 | hAPP(V_f,V_y) = hAPP(V_g,V_y)
% 0.87/1.06 | ~ c_in(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_pair__in__Id__conv_0,axiom,
% 0.87/1.06 ( V_a = V_b
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Relation_OId(T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Nitpick_Orefl_H__def_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_x,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_Nitpick_Orefl_H(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_wf__irrefl_0,axiom,
% 0.87/1.06 ( ~ c_in(c_Pair(V_a,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_in__inv__image_1,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_x,V_y,T_a,T_a),c_Relation_Oinv__image(V_r,V_f,T_b,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(hAPP(V_f,V_x),hAPP(V_f,V_y),T_b,T_b),V_r,tc_prod(T_b,T_b)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_in__inv__image_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(hAPP(V_f,V_x),hAPP(V_f,V_y),T_b,T_b),V_r,tc_prod(T_b,T_b))
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Relation_Oinv__image(V_r,V_f,T_b,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_sym__def_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_symD_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_b,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rel__compI_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_a,V_c,T_a,T_c),c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c),tc_prod(T_a,T_c))
% 0.87/1.06 | ~ c_in(c_Pair(V_b,V_c,T_b,T_c),V_s,tc_prod(T_b,T_c))
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_r__r__into__trancl_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),V_R,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_R,tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_trancl__trans_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_pair__in__Id__conv_1,axiom,
% 0.87/1.06 c_in(c_Pair(V_x,V_x,T_a,T_a),c_Relation_OId(T_a),tc_prod(T_a,T_a)) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_IdI_0,axiom,
% 0.87/1.06 c_in(c_Pair(V_a,V_a,T_a,T_a),c_Relation_OId(T_a),tc_prod(T_a,T_a)) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_in__mktop_5,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,V_L),V_z),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
% 0.87/1.06 | V_x = V_y
% 0.87/1.06 | V_x = V_z ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_in__mktop_3,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,V_L),V_z),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
% 0.87/1.06 | V_y = V_z
% 0.87/1.06 | V_x = V_z ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_in__mktop_1,axiom,
% 0.87/1.06 ~ c_in(c_Pair(V_x,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,V_L),V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_in__mktop_0,axiom,
% 0.87/1.06 ~ c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,V_L),V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_in__mktop_2,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
% 0.87/1.06 | V_y = V_z
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,V_L),V_z),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_in__mkbot_4,axiom,
% 0.87/1.06 ( V_x = V_y
% 0.87/1.06 | V_y = V_x
% 0.87/1.06 | c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omkbot,V_L),V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_in__mkbot_1,axiom,
% 0.87/1.06 ~ c_in(c_Pair(V_x,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omkbot,V_L),V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_in__mkbot_0,axiom,
% 0.87/1.06 ~ c_in(c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omkbot,V_L),V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_in__mkbot_5,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omkbot,V_L),V_z),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
% 0.87/1.06 | V_x = V_y
% 0.87/1.06 | V_y = V_z ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_in__mkbot_3,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omkbot,V_L),V_z),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
% 0.87/1.06 | V_x = V_z
% 0.87/1.06 | V_y = V_z ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_in__mktop_4,axiom,
% 0.87/1.06 ( V_xa = V_x
% 0.87/1.06 | V_xa = V_x
% 0.87/1.06 | c_in(c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,V_L),V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_in__mkbot_2,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
% 0.87/1.06 | V_x = V_z
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omkbot,V_L),V_z),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_complete__Lin_1,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(V_a,V_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
% 0.87/1.06 | V_a = V_b ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_mem__Sigma__iff_2,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_a,V_b,T_a,T_b),c_Product__Type_OSigma(V_A,V_B,T_a,T_b),tc_prod(T_a,T_b))
% 0.87/1.06 | ~ c_in(V_b,hAPP(V_B,V_a),T_b)
% 0.87/1.06 | ~ c_in(V_a,V_A,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_SigmaI_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_a,V_b,T_a,T_b),c_Product__Type_OSigma(V_A,V_B,T_a,T_b),tc_prod(T_a,T_b))
% 0.87/1.06 | ~ c_in(V_b,hAPP(V_B,V_a),T_b)
% 0.87/1.06 | ~ c_in(V_a,V_A,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_acc__downward_0,axiom,
% 0.87/1.06 ( c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a)
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(V_b,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_acc_Ocases_0,axiom,
% 0.87/1.06 ( c_in(V_y,c_Wellfounded_Oacc(V_r,T_a),T_a)
% 0.87/1.06 | ~ c_in(c_Pair(V_y,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_rev__ImageI_0,axiom,
% 0.87/1.06 ( c_in(V_b,c_Relation_OImage(V_r,V_A,T_a,T_b),T_b)
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b))
% 0.87/1.06 | ~ c_in(V_a,V_A,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Image__iff_2,axiom,
% 0.87/1.06 ( c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a)
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a))
% 0.87/1.06 | ~ c_in(V_x,V_A,T_b) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Id__on__iff_1,axiom,
% 0.87/1.06 ( c_in(V_x,V_A,T_a)
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Relation_OId__on(V_A,T_a),tc_prod(T_a,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Id__on__eqI_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_x,V_x,T_a,T_a),c_Relation_OId__on(V_A,T_a),tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(V_x,V_A,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_equiv__class__eq__iff_2,axiom,
% 0.87/1.06 ( c_in(V_y,V_A,T_a)
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_equiv__class__eq__iff_1,axiom,
% 0.87/1.06 ( c_in(V_x,V_A,T_a)
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Range__iff_1,axiom,
% 0.87/1.06 ( c_in(V_a,c_Relation_ORange(V_r,T_b,T_a),T_a)
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_a,T_b,T_a),V_r,tc_prod(T_b,T_a)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_RangeI_0,axiom,
% 0.87/1.06 ( c_in(V_b,c_Relation_ORange(V_r,T_a,T_b),T_b)
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Domain__iff_1,axiom,
% 0.87/1.06 ( c_in(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a)
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_x,T_a,T_b),V_r,tc_prod(T_a,T_b)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_DomainI_0,axiom,
% 0.87/1.06 ( c_in(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a)
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_SigmaD2_0,axiom,
% 0.87/1.06 ( c_in(V_b,hAPP(V_B,V_a),T_b)
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),c_Product__Type_OSigma(V_A,V_B,T_a,T_b),tc_prod(T_a,T_b)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_SigmaD1_0,axiom,
% 0.87/1.06 ( c_in(V_a,V_A,T_a)
% 0.87/1.06 | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),c_Product__Type_OSigma(V_A,V_B,T_a,T_b),tc_prod(T_a,T_b)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_total__on__def_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_xa,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | c_in(c_Pair(V_x,V_xa,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | V_x = V_xa
% 0.87/1.06 | ~ c_in(V_xa,V_A,T_a)
% 0.87/1.06 | ~ c_in(V_x,V_A,T_a)
% 0.87/1.06 | ~ c_Relation_Ototal__on(V_A,V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_refl__on__def_1,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_x,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(V_x,V_A,T_a)
% 0.87/1.06 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_refl__onD2_0,axiom,
% 0.87/1.06 ( c_in(V_y,V_A,T_a)
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_refl__onD1_0,axiom,
% 0.87/1.06 ( c_in(V_x,V_A,T_a)
% 0.87/1.06 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_refl__onD_0,axiom,
% 0.87/1.06 ( c_in(c_Pair(V_a,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 0.87/1.06 | ~ c_in(V_a,V_A,T_a)
% 0.87/1.06 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Pair__eq_1,axiom,
% 0.87/1.06 ( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b)
% 0.87/1.06 | V_b = V_b_H ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_Pair__eq_0,axiom,
% 0.87/1.06 ( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b)
% 0.87/1.06 | V_a = V_a_H ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_mem__def_1,axiom,
% 0.87/1.06 ( c_in(V_x,V_S,T_a)
% 0.87/1.06 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_mem__def_0,axiom,
% 0.87/1.06 ( hBOOL(hAPP(V_S,V_x))
% 0.87/1.06 | ~ c_in(V_x,V_S,T_a) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_CHAINED_1,axiom,
% 0.87/1.06 ( c_in(c_Pair(v_c____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
% 0.87/1.06 | ~ c_in(c_Pair(v_c____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_n____,tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omktop,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),v_e____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_COMBC(c_COMBB(c_fequal(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_n____,tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Oabove,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_e____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omkbot,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),v_e____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ).
% 0.87/1.06
% 0.87/1.06 cnf(cls_CHAINED_0,axiom,
% 0.87/1.07 ( c_in(c_Pair(v_c____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_n____,tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omktop,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),v_e____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_COMBC(c_COMBB(c_fequal(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_n____,tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Oabove,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_e____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omkbot,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),v_e____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
% 0.87/1.07 | ~ c_in(c_Pair(v_c____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ).
% 0.87/1.07
% 0.87/1.07 cnf(cls_CHAINED_0_01,axiom,
% 0.87/1.07 c_in(c_Pair(v_c____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_n____,tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omktop,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),v_e____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_COMBC(c_COMBB(c_fequal(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_n____,tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Oabove,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_c____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_e____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omkbot,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),v_e____,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ).
% 0.87/1.07
% 0.87/1.07 cnf(cls_conjecture_0,negated_conjecture,
% 0.87/1.07 ~ c_in(c_Pair(v_c____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ).
% 0.87/1.07
% 0.87/1.07 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 0.87/1.07 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 0.87/1.07 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.87/1.07
% 0.87/1.07 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
% 0.87/1.07 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))
% 0.87/1.07 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.87/1.07
% 0.87/1.07 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom,
% 0.87/1.07 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))
% 0.87/1.07 | ~ class_Lattices_Odistrib__lattice(T_1) ) ).
% 0.87/1.07
% 0.87/1.07 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
% 0.87/1.07 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))
% 0.87/1.07 | ~ class_Lattices_Obounded__lattice(T_1) ) ).
% 0.87/1.07
% 0.87/1.07 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 0.87/1.07 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 0.87/1.07 | ~ class_Orderings_Opreorder(T_1) ) ).
% 0.87/1.07
% 0.87/1.07 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 0.87/1.07 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 0.87/1.07 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.87/1.07
% 0.87/1.07 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 0.87/1.07 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 0.87/1.07 | ~ class_Orderings_Oorder(T_1) ) ).
% 0.87/1.07
% 0.87/1.07 cnf(clsarity_fun__Orderings_Obot,axiom,
% 0.87/1.07 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 0.87/1.07 | ~ class_Orderings_Obot(T_1) ) ).
% 0.87/1.07
% 0.87/1.07 cnf(clsarity_fun__HOL_Oord,axiom,
% 0.87/1.07 ( class_HOL_Oord(tc_fun(T_2,T_1))
% 0.87/1.07 | ~ class_HOL_Oord(T_1) ) ).
% 0.87/1.07
% 0.87/1.07 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
% 0.87/1.07 class_Lattices_Oupper__semilattice(tc_nat) ).
% 0.87/1.07
% 0.87/1.07 cnf(clsarity_nat__Lattices_Olower__semilattice,axiom,
% 0.87/1.07 class_Lattices_Olower__semilattice(tc_nat) ).
% 0.87/1.07
% 0.87/1.07 cnf(clsarity_nat__Lattices_Odistrib__lattice,axiom,
% 0.87/1.07 class_Lattices_Odistrib__lattice(tc_nat) ).
% 0.87/1.07
% 0.87/1.07 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.87/1.07 class_Orderings_Opreorder(tc_nat) ).
% 0.87/1.07
% 0.87/1.07 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.87/1.07 class_Orderings_Olinorder(tc_nat) ).
% 0.87/1.07
% 0.87/1.07 cnf(clsarity_nat__Lattices_Olattice,axiom,
% 0.87/1.07 class_Lattices_Olattice(tc_nat) ).
% 0.87/1.07
% 0.87/1.07 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.87/1.07 class_Orderings_Oorder(tc_nat) ).
% 0.87/1.07
% 0.87/1.07 cnf(clsarity_nat__Orderings_Obot,axiom,
% 0.87/1.07 class_Orderings_Obot(tc_nat) ).
% 0.87/1.07
% 0.87/1.07 cnf(clsarity_nat__HOL_Oord,axiom,
% 0.87/1.07 class_HOL_Oord(tc_nat) ).
% 0.87/1.07
% 0.87/1.07 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 0.87/1.07 class_Lattices_Oupper__semilattice(tc_bool) ).
% 0.87/1.07
% 0.87/1.07 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
% 0.87/1.07 class_Lattices_Olower__semilattice(tc_bool) ).
% 0.87/1.07
% 0.87/1.07 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom,
% 0.87/1.07 class_Lattices_Odistrib__lattice(tc_bool) ).
% 0.87/1.07
% 0.87/1.07 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
% 0.87/1.07 class_Lattices_Obounded__lattice(tc_bool) ).
% 0.87/1.07
% 0.87/1.07 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 0.87/1.07 class_Orderings_Opreorder(tc_bool) ).
% 0.87/1.07
% 0.87/1.07 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 0.87/1.07 class_Lattices_Olattice(tc_bool) ).
% 0.87/1.07
% 0.87/1.07 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 0.87/1.07 class_Orderings_Oorder(tc_bool) ).
% 0.87/1.07
% 0.87/1.07 cnf(clsarity_bool__Orderings_Obot,axiom,
% 0.87/1.07 class_Orderings_Obot(tc_bool) ).
% 0.87/1.07
% 0.87/1.07 cnf(clsarity_bool__HOL_Oord,axiom,
% 0.87/1.07 class_HOL_Oord(tc_bool) ).
% 0.87/1.07
% 0.87/1.07 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 0.87/1.07 hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ).
% 0.87/1.07
% 0.87/1.07 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 0.87/1.07 ( V_X = V_Y
% 0.87/1.07 | ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y)) ) ).
% 0.87/1.07
% 0.87/1.07 %------------------------------------------------------------------------------
% 0.87/1.07 %-------------------------------------------
% 0.87/1.07 % Proof found
% 0.87/1.07 % SZS status Theorem for theBenchmark
% 0.87/1.07 % SZS output start Proof
% 0.87/1.07 %ClaNum:967(EqnAxiom:296)
% 0.87/1.07 %VarNum:6565(SingletonVarNum:2038)
% 0.87/1.07 %MaxLitNum:6
% 0.87/1.07 %MaxfuncDepth:5
% 0.87/1.07 %SharedTerms:70
% 0.87/1.07 %goalClause: 491
% 0.87/1.07 %singleGoalClaCount:1
% 0.87/1.07 [297]P1(a1)
% 0.87/1.07 [298]P1(a72)
% 0.87/1.07 [299]P2(a1)
% 0.87/1.07 [300]P2(a72)
% 0.87/1.07 [301]P24(a1)
% 0.87/1.07 [302]P24(a72)
% 0.87/1.07 [303]P25(a1)
% 0.87/1.07 [304]P25(a72)
% 0.87/1.07 [305]P26(a1)
% 0.87/1.07 [306]P26(a72)
% 0.87/1.07 [307]P3(a1)
% 0.87/1.07 [308]P29(a1)
% 0.87/1.07 [309]P29(a72)
% 0.87/1.07 [310]P4(a1)
% 0.87/1.07 [311]P4(a72)
% 0.87/1.07 [312]P31(a1)
% 0.87/1.07 [313]P31(a72)
% 0.87/1.07 [314]P30(a72)
% 0.87/1.07 [315]P5(a74)
% 0.87/1.07 [316]P6(a74)
% 0.87/1.07 [491]~P20(f54(a76,a78,a69,a69),f65(a74,a77),f75(a69,a69))
% 0.87/1.07 [484]P20(f54(a76,a78,a69,a69),f65(a74,f45(f45(f6(f44(f73(f75(a69,a69),a1)),f43(f6(f47(a72),a79,a72,f73(a72,a1),a71),a81,a71,a72,a1),a1,f73(f73(f75(a69,a69),a1),f73(f73(f75(a69,a69),a1),f73(f75(a69,a69),a1))),a71),f43(f6(a7,a77,f73(f75(a69,a69),a1),f73(a69,f73(f75(a69,a69),a1)),a71),a80,a71,a69,f73(f75(a69,a69),a1)),a71,f73(f75(a69,a69),a1),f73(f73(f75(a69,a69),a1),f73(f75(a69,a69),a1))),f45(f45(f6(f44(f73(f75(a69,a69),a1)),f43(f6(f63(a72),a79,a72,f73(a72,a1),a71),a81,a71,a72,a1),a1,f73(f73(f75(a69,a69),a1),f73(f73(f75(a69,a69),a1),f73(f75(a69,a69),a1))),a71),f43(f43(f6(a8,a77,f73(f75(a69,a69),a1),f73(a69,f73(a69,f73(f75(a69,a69),a1))),a71),a76,a71,a69,f73(a69,f73(f75(a69,a69),a1))),a80,a71,a69,f73(f75(a69,a69),a1)),a71,f73(f75(a69,a69),a1),f73(f73(f75(a69,a69),a1),f73(f75(a69,a69),a1))),f43(f6(a42,a77,f73(f75(a69,a69),a1),f73(a69,f73(f75(a69,a69),a1)),a71),a80,a71,a69,f73(f75(a69,a69),a1)),a71,f73(f75(a69,a69),a1),f73(f75(a69,a69),a1)),a71,f73(f75(a69,a69),a1),f73(f75(a69,a69),a1))),f75(a69,a69))
% 0.87/1.07 [337]E(f49(f73(f75(x3371,x3371),a1)),f2(f49(f73(x3371,a1)),x3371))
% 0.87/1.07 [347]P21(f49(f73(f75(x3471,x3471),a1)),x3471)
% 0.87/1.07 [348]P8(f49(f73(f75(x3481,x3481),a1)),x3481)
% 0.87/1.07 [361]P14(f49(f73(x3611,a1)),f49(f73(f75(x3611,x3611),a1)),x3611)
% 0.87/1.07 [376]P7(f56(f49(f73(f75(x3761,x3761),a1)),x3761),x3761)
% 0.87/1.07 [378]P8(f56(f49(f73(f75(x3781,x3781),a1)),x3781),x3781)
% 0.87/1.07 [383]P16(f56(f49(f73(f75(x3831,x3831),a1)),x3831),x3831,x3831)
% 0.87/1.07 [403]E(f57(f56(f49(f73(f75(x4031,x4031),a1)),x4031),x4031,x4031),f56(f49(f73(f75(x4031,x4031),a1)),x4031))
% 0.87/1.07 [317]P7(f2(x3171,x3172),x3172)
% 0.87/1.07 [318]P17(f56(x3181,x3182),x3182)
% 0.87/1.07 [319]P17(f2(x3191,x3192),x3192)
% 0.87/1.07 [320]P8(f2(x3201,x3202),x3202)
% 0.87/1.07 [323]P19(x3231,x3231,f73(x3232,a1))
% 0.87/1.07 [326]P14(x3261,f2(x3261,x3262),x3262)
% 0.87/1.07 [327]P16(f2(x3271,x3272),x3272,x3272)
% 0.87/1.07 [321]E(f56(f56(x3211,x3212),x3212),f56(x3211,x3212))
% 0.87/1.07 [324]E(f3(x3241,x3241,f73(x3242,a1)),x3241)
% 0.87/1.07 [325]E(f48(x3251,x3251,f73(x3252,a1)),x3251)
% 0.87/1.07 [328]E(f57(f2(x3281,x3282),x3282,x3282),f2(x3281,x3282))
% 0.87/1.07 [329]E(f4(x3291,x3291,f73(x3292,a1)),f49(f73(x3292,a1)))
% 0.87/1.07 [331]P18(f49(f73(x3311,a1)),x3312,x3311)
% 0.87/1.07 [333]P19(f49(f73(x3331,a1)),x3332,f73(x3331,a1))
% 0.87/1.07 [334]E(f4(x3341,f49(f73(x3342,a1)),f73(x3342,a1)),x3341)
% 0.87/1.07 [335]E(f48(x3351,f49(f73(x3352,a1)),f73(x3352,a1)),x3351)
% 0.87/1.07 [336]E(f48(f49(f73(x3361,a1)),x3362,f73(x3361,a1)),x3362)
% 0.87/1.07 [340]E(f3(x3401,f49(f73(x3402,a1)),f73(x3402,a1)),f49(f73(x3402,a1)))
% 0.87/1.07 [341]E(f3(f49(f73(x3411,a1)),x3412,f73(x3411,a1)),f49(f73(x3411,a1)))
% 0.87/1.07 [342]E(f4(f49(f73(x3421,a1)),x3422,f73(x3421,a1)),f49(f73(x3421,a1)))
% 0.87/1.07 [351]E(f57(f56(x3511,x3512),x3512,x3512),f56(f57(x3511,x3512,x3512),x3512))
% 0.87/1.07 [370]E(f60(f66(x3701,x3701),f2(x3702,x3701),f75(x3701,x3701),x3701),x3702)
% 0.87/1.07 [387]E(f60(f66(x3871,x3871),f57(f2(x3872,x3871),x3871,x3871),f75(x3871,x3871),x3871),x3872)
% 0.87/1.07 [424]E(f60(f66(x4241,x4242),f57(f49(f73(f75(x4242,x4241),a1)),x4242,x4241),f75(x4241,x4242),x4241),f49(f73(x4241,a1)))
% 0.87/1.07 [439]E(f62(f56(x4391,x4392),f56(x4391,x4392),x4392,x4392,x4392),f56(x4391,x4392))
% 0.87/1.07 [459]E(f62(f56(x4591,x4592),x4591,x4592,x4592,x4592),f62(x4591,f56(x4591,x4592),x4592,x4592,x4592))
% 0.87/1.07 [460]P17(f62(x4601,f56(x4601,x4602),x4602,x4602,x4602),x4602)
% 0.87/1.07 [469]E(f60(f66(x4691,x4691),f62(x4692,f56(x4692,x4691),x4691,x4691,x4691),f75(x4691,x4691),x4691),f60(f66(x4691,x4691),x4692,f75(x4691,x4691),x4691))
% 0.87/1.07 [478]E(f60(f66(x4781,x4781),f57(f62(x4782,f56(x4782,x4781),x4781,x4781,x4781),x4781,x4781),f75(x4781,x4781),x4781),f60(f66(x4781,x4781),f57(x4782,x4781,x4781),f75(x4781,x4781),x4781))
% 0.87/1.07 [489]~P20(x4891,f49(f73(x4892,a1)),x4892)
% 0.87/1.07 [330]P32(f65(f65(f63(x3301),x3302),x3302))
% 0.87/1.07 [394]P7(f3(x3941,f57(x3941,x3942,x3942),f73(f75(x3942,x3942),a1)),x3942)
% 0.87/1.07 [395]P7(f48(x3951,f57(x3951,x3952,x3952),f73(f75(x3952,x3952),a1)),x3952)
% 0.87/1.07 [397]E(f48(f56(x3971,x3972),f56(f49(f73(f75(x3972,x3972),a1)),x3972),f73(f75(x3972,x3972),a1)),f56(x3971,x3972))
% 0.87/1.07 [432]P15(f4(x4321,f56(f49(f73(f75(x4322,x4322),a1)),x4322),f73(f75(x4322,x4322),a1)),x4322)
% 0.87/1.07 [433]P19(f2(x4331,x4332),f53(x4331,f5(x4331,f73(x4332,a1),x4332),x4332,x4332),f73(f75(x4332,x4332),a1))
% 0.87/1.07 [440]E(f62(f56(x4401,x4402),f56(f56(x4401,x4402),x4402),x4402,x4402,x4402),f56(x4401,x4402))
% 0.87/1.07 [461]E(f56(f62(x4611,f56(x4611,x4612),x4612,x4612,x4612),x4612),f56(x4611,x4612))
% 0.87/1.07 [464]E(f48(f56(f49(f73(f75(x4641,x4641),a1)),x4641),f62(f56(x4642,x4641),x4642,x4641,x4641,x4641),f73(f75(x4641,x4641),a1)),f56(x4642,x4641))
% 0.87/1.07 [465]E(f48(f62(x4651,f56(x4651,x4652),x4652,x4652,x4652),f56(f49(f73(f75(x4652,x4652),a1)),x4652),f73(f75(x4652,x4652),a1)),f56(x4651,x4652))
% 0.87/1.07 [475]E(f62(f57(x4751,x4752,x4752),f56(f57(x4751,x4752,x4752),x4752),x4752,x4752,x4752),f57(f62(x4751,f56(x4751,x4752),x4752,x4752,x4752),x4752,x4752))
% 0.87/1.07 [483]E(f48(x4831,f62(f62(x4831,f56(x4831,x4832),x4832,x4832,x4832),x4831,x4832,x4832,x4832),f73(f75(x4832,x4832),a1)),f62(x4831,f56(x4831,x4832),x4832,x4832,x4832))
% 0.87/1.07 [490]~P32(f65(f49(f73(x4901,a1)),x4902))
% 0.87/1.07 [434]E(f56(f4(x4341,f56(f49(f73(f75(x4342,x4342),a1)),x4342),f73(f75(x4342,x4342),a1)),x4342),f56(x4341,x4342))
% 0.87/1.07 [435]E(f56(f48(x4351,f56(f49(f73(f75(x4352,x4352),a1)),x4352),f73(f75(x4352,x4352),a1)),x4352),f56(x4351,x4352))
% 0.87/1.07 [405]E(f58(f56(f49(f73(f75(x4051,x4051),a1)),x4051),x4052,x4051,x4051),x4052)
% 0.87/1.07 [474]E(f62(f48(x4741,f56(f49(f73(f75(x4742,x4742),a1)),x4742),f73(f75(x4742,x4742),a1)),f56(f48(x4741,f56(f49(f73(f75(x4742,x4742),a1)),x4742),f73(f75(x4742,x4742),a1)),x4742),x4742,x4742,x4742),f56(x4741,x4742))
% 0.87/1.07 [345]P20(x3451,f59(x3451,x3452,x3453),x3453)
% 0.87/1.07 [350]P19(x3501,f59(x3502,x3501,x3503),f73(x3503,a1))
% 0.87/1.07 [407]P20(f54(x4071,x4071,x4072,x4072),f56(x4073,x4072),f75(x4072,x4072))
% 0.87/1.07 [338]E(f3(x3381,x3382,f73(x3383,a1)),f3(x3382,x3381,f73(x3383,a1)))
% 0.87/1.07 [339]E(f48(x3391,x3392,f73(x3393,a1)),f48(x3392,x3391,f73(x3393,a1)))
% 0.87/1.07 [346]E(f57(f57(x3461,x3462,x3463),x3463,x3462),x3461)
% 0.87/1.07 [353]E(f59(x3531,f59(x3531,x3532,x3533),x3533),f59(x3531,x3532,x3533))
% 0.87/1.07 [354]P19(x3541,f48(x3542,x3541,f73(x3543,a1)),f73(x3543,a1))
% 0.87/1.07 [355]P19(x3551,f48(x3551,x3552,f73(x3553,a1)),f73(x3553,a1))
% 0.87/1.07 [356]P19(f3(x3561,x3562,f73(x3563,a1)),x3562,f73(x3563,a1))
% 0.87/1.07 [357]P19(f3(x3571,x3572,f73(x3573,a1)),x3571,f73(x3573,a1))
% 0.87/1.07 [358]P19(f4(x3581,x3582,f73(x3583,a1)),x3581,f73(x3583,a1))
% 0.87/1.07 [359]P32(f65(f59(x3591,x3592,x3593),x3591))
% 0.87/1.07 [360]E(f3(x3601,f4(x3602,x3601,f73(x3603,a1)),f73(x3603,a1)),f49(f73(x3603,a1)))
% 0.87/1.07 [364]E(f3(x3641,f3(x3641,x3642,f73(x3643,a1)),f73(x3643,a1)),f3(x3641,x3642,f73(x3643,a1)))
% 0.87/1.07 [365]E(f48(x3651,f4(x3652,x3651,f73(x3653,a1)),f73(x3653,a1)),f48(x3651,x3652,f73(x3653,a1)))
% 0.87/1.07 [366]E(f48(x3661,f48(x3661,x3662,f73(x3663,a1)),f73(x3663,a1)),f48(x3661,x3662,f73(x3663,a1)))
% 0.87/1.07 [367]E(f4(f4(x3671,x3672,f73(x3673,a1)),x3672,f73(x3673,a1)),f4(x3671,x3672,f73(x3673,a1)))
% 0.87/1.07 [368]E(f48(f4(x3681,x3682,f73(x3683,a1)),x3682,f73(x3683,a1)),f48(x3681,x3682,f73(x3683,a1)))
% 0.87/1.07 [374]E(f48(f59(x3741,f49(f73(x3742,a1)),x3742),x3743,f73(x3742,a1)),f59(x3741,x3743,x3742))
% 0.87/1.07 [375]E(f58(f2(x3751,x3752),x3753,x3752,x3752),f3(x3751,x3753,f73(x3752,a1)))
% 0.87/1.07 [380]E(f48(f4(x3801,x3802,f73(x3803,a1)),f3(x3801,x3802,f73(x3803,a1)),f73(x3803,a1)),x3801)
% 0.87/1.07 [423]E(f60(f66(x4231,x4232),f57(x4233,x4232,x4231),f75(x4231,x4232),x4231),f60(f67(x4232,x4231),x4233,f75(x4232,x4231),x4231))
% 0.87/1.07 [430]E(f60(f66(x4301,x4302),f57(f57(x4303,x4301,x4302),x4302,x4301),f75(x4301,x4302),x4301),f60(f66(x4301,x4302),x4303,f75(x4301,x4302),x4301))
% 0.87/1.07 [485]~E(f59(x4851,x4852,x4853),f49(f73(x4853,a1)))
% 0.87/1.07 [486]~E(f49(f73(x4861,a1)),f59(x4862,x4863,x4861))
% 0.87/1.07 [492]~P20(f54(x4921,x4922,a69,a69),f65(f65(a7,x4923),x4921),f75(a69,a69))
% 0.87/1.07 [493]~P20(f54(x4931,x4932,a69,a69),f65(f65(a42,x4933),x4932),f75(a69,a69))
% 0.87/1.07 [372]E(f60(x3721,f49(f73(x3722,a1)),x3722,x3723),f49(f73(x3723,a1)))
% 0.87/1.07 [373]E(f58(x3731,f49(f73(x3732,a1)),x3732,x3733),f49(f73(x3733,a1)))
% 0.87/1.07 [379]E(f53(f49(f73(x3791,a1)),x3792,x3791,x3793),f49(f73(f75(x3791,x3793),a1)))
% 0.87/1.07 [385]E(f54(f65(f66(x3851,x3852),x3853),f65(f67(x3851,x3852),x3853),x3851,x3852),x3853)
% 0.87/1.07 [404]E(f53(x4041,f5(f49(f73(x4042,a1)),f73(x4042,a1),x4043),x4043,x4042),f49(f73(f75(x4043,x4042),a1)))
% 0.87/1.07 [422]E(f59(x4221,f4(x4222,f59(x4221,f49(f73(x4223,a1)),x4223),f73(x4223,a1)),x4223),f59(x4221,x4222,x4223))
% 0.87/1.07 [419]E(f56(f48(f56(x4191,x4192),f56(x4193,x4192),f73(f75(x4192,x4192),a1)),x4192),f56(f48(x4191,x4193,f73(f75(x4192,x4192),a1)),x4192))
% 0.87/1.07 [436]P19(f48(f56(x4361,x4362),f56(x4363,x4362),f73(f75(x4362,x4362),a1)),f56(f48(x4361,x4363,f73(f75(x4362,x4362),a1)),x4362),f73(f75(x4362,x4362),a1))
% 0.87/1.07 [448]E(f62(x4481,f56(f49(f73(f75(x4482,x4482),a1)),x4482),x4483,x4482,x4482),x4481)
% 0.87/1.07 [449]E(f62(f56(f49(f73(f75(x4491,x4491),a1)),x4491),x4492,x4491,x4491,x4493),x4492)
% 0.87/1.07 [332]E(f65(f5(x3321,x3322,x3323),x3324),x3321)
% 0.87/1.07 [369]E(f59(x3691,f59(x3692,x3693,x3694),x3694),f59(x3692,f59(x3691,x3693,x3694),x3694))
% 0.87/1.07 [388]E(f3(x3881,f3(x3882,x3883,f73(x3884,a1)),f73(x3884,a1)),f3(x3882,f3(x3881,x3883,f73(x3884,a1)),f73(x3884,a1)))
% 0.87/1.07 [389]E(f48(x3891,f48(x3892,x3893,f73(x3894,a1)),f73(x3894,a1)),f48(x3892,f48(x3891,x3893,f73(x3894,a1)),f73(x3894,a1)))
% 0.87/1.07 [390]E(f3(f3(x3901,x3902,f73(x3903,a1)),x3904,f73(x3903,a1)),f3(x3901,f3(x3902,x3904,f73(x3903,a1)),f73(x3903,a1)))
% 0.87/1.07 [391]E(f4(f3(x3911,x3912,f73(x3913,a1)),x3914,f73(x3913,a1)),f3(x3911,f4(x3912,x3914,f73(x3913,a1)),f73(x3913,a1)))
% 0.87/1.07 [392]E(f48(f48(x3921,x3922,f73(x3923,a1)),x3924,f73(x3923,a1)),f48(x3921,f48(x3922,x3924,f73(x3923,a1)),f73(x3923,a1)))
% 0.87/1.07 [401]E(f65(f67(x4011,x4012),f54(x4013,x4014,x4011,x4012)),x4014)
% 0.87/1.07 [402]E(f65(f66(x4021,x4022),f54(x4023,x4024,x4021,x4022)),x4023)
% 0.87/1.07 [408]E(f4(f3(x4081,x4082,f73(x4083,a1)),f3(x4081,x4084,f73(x4083,a1)),f73(x4083,a1)),f3(x4081,f4(x4082,x4084,f73(x4083,a1)),f73(x4083,a1)))
% 0.87/1.07 [409]E(f48(f3(x4091,x4092,f73(x4093,a1)),f3(x4091,x4094,f73(x4093,a1)),f73(x4093,a1)),f3(x4091,f48(x4092,x4094,f73(x4093,a1)),f73(x4093,a1)))
% 0.87/1.07 [410]E(f48(f4(x4101,x4102,f73(x4103,a1)),f4(x4101,x4104,f73(x4103,a1)),f73(x4103,a1)),f4(x4101,f3(x4102,x4104,f73(x4103,a1)),f73(x4103,a1)))
% 0.87/1.07 [411]E(f3(f4(x4111,x4112,f73(x4113,a1)),f4(x4111,x4114,f73(x4113,a1)),f73(x4113,a1)),f4(x4111,f48(x4112,x4114,f73(x4113,a1)),f73(x4113,a1)))
% 0.87/1.07 [412]E(f3(f48(x4121,x4122,f73(x4123,a1)),f48(x4121,x4124,f73(x4123,a1)),f73(x4123,a1)),f48(x4121,f3(x4122,x4124,f73(x4123,a1)),f73(x4123,a1)))
% 0.87/1.07 [413]E(f4(f3(x4131,x4132,f73(x4133,a1)),f3(x4134,x4132,f73(x4133,a1)),f73(x4133,a1)),f3(f4(x4131,x4134,f73(x4133,a1)),x4132,f73(x4133,a1)))
% 0.87/1.07 [414]E(f48(f3(x4141,x4142,f73(x4143,a1)),f3(x4144,x4142,f73(x4143,a1)),f73(x4143,a1)),f3(f48(x4141,x4144,f73(x4143,a1)),x4142,f73(x4143,a1)))
% 0.87/1.07 [415]E(f48(f4(x4151,x4152,f73(x4153,a1)),f4(x4154,x4152,f73(x4153,a1)),f73(x4153,a1)),f4(f48(x4151,x4154,f73(x4153,a1)),x4152,f73(x4153,a1)))
% 0.87/1.07 [416]E(f3(f48(x4161,x4162,f73(x4163,a1)),f48(x4164,x4162,f73(x4163,a1)),f73(x4163,a1)),f48(f3(x4161,x4164,f73(x4163,a1)),x4162,f73(x4163,a1)))
% 0.87/1.07 [417]E(f4(f3(x4171,x4172,f73(x4173,a1)),f3(x4174,x4172,f73(x4173,a1)),f73(x4173,a1)),f4(f3(x4171,x4172,f73(x4173,a1)),x4174,f73(x4173,a1)))
% 0.87/1.07 [418]E(f4(f4(x4181,x4182,f73(x4183,a1)),f59(x4184,f49(f73(x4183,a1)),x4183),f73(x4183,a1)),f4(x4181,f59(x4184,x4182,x4183),f73(x4183,a1)))
% 0.87/1.07 [426]E(f4(f4(x4261,f59(x4262,f49(f73(x4263,a1)),x4263),f73(x4263,a1)),x4264,f73(x4263,a1)),f4(x4261,f59(x4262,x4264,x4263),f73(x4263,a1)))
% 0.87/1.07 [427]E(f57(f61(x4271,x4272,x4273,x4274),x4274,x4274),f61(f57(x4271,x4273,x4273),x4272,x4273,x4274))
% 0.87/1.07 [453]E(f48(f48(f3(x4531,x4532,f73(x4533,a1)),f3(x4532,x4534,f73(x4533,a1)),f73(x4533,a1)),f3(x4534,x4531,f73(x4533,a1)),f73(x4533,a1)),f3(f3(f48(x4531,x4532,f73(x4533,a1)),f48(x4532,x4534,f73(x4533,a1)),f73(x4533,a1)),f48(x4534,x4531,f73(x4533,a1)),f73(x4533,a1)))
% 0.87/1.07 [462]E(f48(f60(f66(x4621,x4622),f57(x4623,x4622,x4621),f75(x4621,x4622),x4621),f60(f66(x4621,x4622),f57(x4624,x4622,x4621),f75(x4621,x4622),x4621),f73(x4621,a1)),f60(f66(x4621,x4622),f57(f48(x4623,x4624,f73(f75(x4622,x4621),a1)),x4622,x4621),f75(x4621,x4622),x4621))
% 0.87/1.07 [476]P19(f60(f66(x4761,x4762),f57(f3(x4763,x4764,f73(f75(x4762,x4761),a1)),x4762,x4761),f75(x4761,x4762),x4761),f3(f60(f66(x4761,x4762),f57(x4763,x4762,x4761),f75(x4761,x4762),x4761),f60(f66(x4761,x4762),f57(x4764,x4762,x4761),f75(x4761,x4762),x4761),f73(x4761,a1)),f73(x4761,a1))
% 0.87/1.07 [477]P19(f4(f60(f66(x4771,x4772),f57(x4773,x4772,x4771),f75(x4771,x4772),x4771),f60(f66(x4771,x4772),f57(x4774,x4772,x4771),f75(x4771,x4772),x4771),f73(x4771,a1)),f60(f66(x4771,x4772),f57(f4(x4773,x4774,f73(f75(x4772,x4771),a1)),x4772,x4771),f75(x4771,x4772),x4771),f73(x4771,a1))
% 0.87/1.07 [381]E(f59(x3811,f48(x3812,x3813,f73(x3814,a1)),x3814),f48(x3812,f59(x3811,x3813,x3814),f73(x3814,a1)))
% 0.87/1.07 [382]E(f59(x3821,f48(x3822,x3823,f73(x3824,a1)),x3824),f48(f59(x3821,x3822,x3824),x3823,f73(x3824,a1)))
% 0.87/1.07 [396]E(f3(f59(x3961,x3962,x3963),f59(x3961,x3964,x3963),f73(x3963,a1)),f59(x3961,f3(x3962,x3964,f73(x3963,a1)),x3963))
% 0.87/1.07 [420]E(f3(f57(x4201,x4202,x4203),f57(x4204,x4202,x4203),f73(f75(x4203,x4202),a1)),f57(f3(x4201,x4204,f73(f75(x4202,x4203),a1)),x4202,x4203))
% 0.87/1.07 [421]E(f48(f57(x4211,x4212,x4213),f57(x4214,x4212,x4213),f73(f75(x4213,x4212),a1)),f57(f48(x4211,x4214,f73(f75(x4212,x4213),a1)),x4212,x4213))
% 0.87/1.07 [441]E(f62(x4411,f49(f73(f75(x4412,x4413),a1)),x4414,x4412,x4413),f49(f73(f75(x4414,x4413),a1)))
% 0.87/1.07 [442]E(f62(f49(f73(f75(x4421,x4422),a1)),x4423,x4421,x4422,x4424),f49(f73(f75(x4421,x4424),a1)))
% 0.87/1.07 [431]E(f60(x4311,f59(x4312,x4313,x4314),x4314,x4315),f59(f65(x4311,x4312),f60(x4311,x4313,x4314,x4315),x4315))
% 0.87/1.07 [473]E(f62(f57(x4731,x4732,x4733),f57(x4734,x4735,x4732),x4733,x4732,x4735),f57(f62(x4734,x4731,x4735,x4732,x4733),x4735,x4733))
% 0.87/1.07 [425]E(f65(f68(x4251,x4252,x4253,x4254),x4255),f65(f65(x4251,f65(f66(x4252,x4253),x4255)),f65(f67(x4252,x4253),x4255)))
% 0.87/1.07 [443]E(f48(f60(x4431,x4432,x4433,x4434),f60(x4431,x4435,x4433,x4434),f73(x4434,a1)),f60(x4431,f48(x4432,x4435,f73(x4433,a1)),x4433,x4434))
% 0.87/1.07 [444]E(f48(f58(x4441,x4442,x4443,x4444),f58(x4441,x4445,x4443,x4444),f73(x4444,a1)),f58(x4441,f48(x4442,x4445,f73(x4443,a1)),x4443,x4444))
% 0.87/1.07 [445]E(f3(f53(x4451,x4452,x4453,x4454),f53(x4455,x4452,x4453,x4454),f73(f75(x4453,x4454),a1)),f53(f3(x4451,x4455,f73(x4453,a1)),x4452,x4453,x4454))
% 0.87/1.07 [446]E(f4(f53(x4461,x4462,x4463,x4464),f53(x4465,x4462,x4463,x4464),f73(f75(x4463,x4464),a1)),f53(f4(x4461,x4465,f73(x4463,a1)),x4462,x4463,x4464))
% 0.87/1.07 [447]E(f48(f53(x4471,x4472,x4473,x4474),f53(x4475,x4472,x4473,x4474),f73(f75(x4473,x4474),a1)),f53(f48(x4471,x4475,f73(x4473,a1)),x4472,x4473,x4474))
% 0.87/1.07 [454]E(f60(f66(x4541,x4542),f59(f54(x4543,x4544,x4541,x4542),x4545,f75(x4541,x4542)),f75(x4541,x4542),x4541),f59(x4543,f60(f66(x4541,x4542),x4545,f75(x4541,x4542),x4541),x4541))
% 0.87/1.07 [466]P19(f60(x4661,f3(x4662,x4663,f73(x4664,a1)),x4664,x4665),f3(f60(x4661,x4662,x4664,x4665),f60(x4661,x4663,x4664,x4665),f73(x4665,a1)),f73(x4665,a1))
% 0.87/1.07 [467]P19(f58(x4671,f3(x4672,x4673,f73(x4674,a1)),x4674,x4675),f3(f58(x4671,x4672,x4674,x4675),f58(x4671,x4673,x4674,x4675),f73(x4675,a1)),f73(x4675,a1))
% 0.87/1.07 [468]P19(f4(f60(x4681,x4682,x4683,x4684),f60(x4681,x4685,x4683,x4684),f73(x4684,a1)),f60(x4681,f4(x4682,x4685,f73(x4683,a1)),x4683,x4684),f73(x4684,a1))
% 0.87/1.07 [470]E(f60(f66(x4701,x4702),f57(f59(f54(x4703,x4704,x4702,x4701),x4705,f75(x4702,x4701)),x4702,x4701),f75(x4701,x4702),x4701),f59(x4704,f60(f66(x4701,x4702),f57(x4705,x4702,x4701),f75(x4701,x4702),x4701),x4701))
% 0.87/1.07 [450]E(f48(f58(x4501,x4502,x4503,x4504),f58(x4505,x4502,x4503,x4504),f73(x4504,a1)),f58(f48(x4501,x4505,f73(f75(x4503,x4504),a1)),x4502,x4503,x4504))
% 0.87/1.07 [438]E(f65(f68(x4381,x4382,x4383,x4384),f54(x4385,x4386,x4382,x4383)),f65(f65(x4381,x4385),x4386))
% 0.87/1.07 [479]E(f59(f54(x4791,x4792,x4793,x4794),f48(f53(x4795,f5(f59(x4792,x4796,x4794),f73(x4794,a1),x4793),x4793,x4794),f53(f59(x4791,x4795,x4793),f5(x4796,f73(x4794,a1),x4793),x4793,x4794),f73(f75(x4793,x4794),a1)),f75(x4793,x4794)),f53(f59(x4791,x4795,x4793),f5(f59(x4792,x4796,x4794),f73(x4794,a1),x4793),x4793,x4794))
% 0.87/1.07 [480]E(f48(f62(x4801,x4802,x4803,x4804,x4805),f62(x4801,x4806,x4803,x4804,x4805),f73(f75(x4803,x4805),a1)),f62(x4801,f48(x4802,x4806,f73(f75(x4804,x4805),a1)),x4803,x4804,x4805))
% 0.87/1.07 [481]E(f48(f62(x4811,x4812,x4813,x4814,x4815),f62(x4816,x4812,x4813,x4814,x4815),f73(f75(x4813,x4815),a1)),f62(f48(x4811,x4816,f73(f75(x4813,x4814),a1)),x4812,x4813,x4814,x4815))
% 0.87/1.07 [482]E(f62(f62(x4821,x4822,x4823,x4824,x4825),x4826,x4823,x4825,x4827),f62(x4821,f62(x4822,x4826,x4824,x4825,x4827),x4823,x4824,x4827))
% 0.87/1.07 [967]P20(f54(a76,a78,a69,a69),f65(a74,a77),f75(a69,a69))+~P20(f54(a76,a78,a69,a69),f65(a74,f45(f45(f6(f44(f73(f75(a69,a69),a1)),f43(f6(f47(a72),a79,a72,f73(a72,a1),a71),a81,a71,a72,a1),a1,f73(f73(f75(a69,a69),a1),f73(f73(f75(a69,a69),a1),f73(f75(a69,a69),a1))),a71),f43(f6(a7,a77,f73(f75(a69,a69),a1),f73(a69,f73(f75(a69,a69),a1)),a71),a80,a71,a69,f73(f75(a69,a69),a1)),a71,f73(f75(a69,a69),a1),f73(f73(f75(a69,a69),a1),f73(f75(a69,a69),a1))),f45(f45(f6(f44(f73(f75(a69,a69),a1)),f43(f6(f63(a72),a79,a72,f73(a72,a1),a71),a81,a71,a72,a1),a1,f73(f73(f75(a69,a69),a1),f73(f73(f75(a69,a69),a1),f73(f75(a69,a69),a1))),a71),f43(f43(f6(a8,a77,f73(f75(a69,a69),a1),f73(a69,f73(a69,f73(f75(a69,a69),a1))),a71),a76,a71,a69,f73(a69,f73(f75(a69,a69),a1))),a80,a71,a69,f73(f75(a69,a69),a1)),a71,f73(f75(a69,a69),a1),f73(f73(f75(a69,a69),a1),f73(f75(a69,a69),a1))),f43(f6(a42,a77,f73(f75(a69,a69),a1),f73(a69,f73(f75(a69,a69),a1)),a71),a80,a71,a69,f73(f75(a69,a69),a1)),a71,f73(f75(a69,a69),a1),f73(f75(a69,a69),a1)),a71,f73(f75(a69,a69),a1),f73(f75(a69,a69),a1))),f75(a69,a69))
% 0.87/1.07 [496]~P21(x4961,x4962)+P22(x4961,x4962)
% 0.87/1.07 [506]~P29(x5062)+P19(x5061,x5061,x5062)
% 0.87/1.07 [507]~P31(x5072)+P19(x5071,x5071,x5072)
% 0.87/1.07 [497]~P1(x4972)+P1(f73(x4971,x4972))
% 0.87/1.07 [498]~P2(x4982)+P2(f73(x4981,x4982))
% 0.87/1.07 [499]~P25(x4992)+P24(f73(x4991,x4992))
% 0.87/1.07 [500]~P25(x5002)+P25(f73(x5001,x5002))
% 0.87/1.07 [501]~P25(x5012)+P26(f73(x5011,x5012))
% 0.87/1.07 [502]~P3(x5022)+P3(f73(x5021,x5022))
% 0.87/1.07 [503]~P29(x5032)+P29(f73(x5031,x5032))
% 0.87/1.07 [504]~P4(x5042)+P4(f73(x5041,x5042))
% 0.87/1.07 [505]~P31(x5052)+P31(f73(x5051,x5052))
% 0.87/1.07 [508]~P26(x5082)+E(f3(x5081,x5081,x5082),x5081)
% 0.87/1.07 [509]~P24(x5092)+E(f48(x5091,x5091,x5092),x5091)
% 0.87/1.07 [510]~P7(x5101,x5102)+P7(f56(x5101,x5102),x5102)
% 0.87/1.07 [511]~P22(x5111,x5112)+P8(f56(x5111,x5112),x5112)
% 0.87/1.07 [512]~P1(x5121)+P19(f49(x5121),x5122,x5121)
% 0.87/1.07 [517]~P7(x5171,x5172)+E(f57(x5171,x5172,x5172),x5171)
% 0.87/1.07 [522]P7(x5221,x5222)+~E(f57(x5221,x5222,x5222),x5221)
% 0.87/1.07 [536]~P22(x5361,x5362)+P22(f57(x5361,x5362,x5362),x5362)
% 0.87/1.07 [537]~P7(x5371,x5372)+P7(f57(x5371,x5372,x5372),x5372)
% 0.87/1.07 [538]~P17(x5381,x5382)+P17(f57(x5381,x5382,x5382),x5382)
% 0.87/1.07 [539]~P8(x5391,x5392)+P8(f57(x5391,x5392,x5392),x5392)
% 0.87/1.07 [540]~P21(x5401,x5402)+P23(f46(x5401,x5402,x5402),x5402)
% 0.87/1.07 [563]P21(x5631,x5632)+~P20(f9(x5631,x5632),f64(x5631,x5632),x5632)
% 0.87/1.07 [564]P21(x5641,x5642)+~P20(f10(x5641,x5642),f64(x5641,x5642),x5642)
% 0.87/1.07 [577]P22(x5771,x5772)+~P22(f57(x5771,x5772,x5772),x5772)
% 0.87/1.07 [578]P7(x5781,x5782)+~P7(f57(x5781,x5782,x5782),x5782)
% 0.87/1.07 [579]P17(x5791,x5792)+~P17(f57(x5791,x5792,x5792),x5792)
% 0.87/1.07 [580]P8(x5801,x5802)+~P8(f57(x5801,x5802,x5802),x5802)
% 0.87/1.07 [726]E(x7261,x7262)+P20(f54(x7261,x7262,a69,a69),f84(x7261,x7262),f75(a69,a69))
% 0.87/1.07 [872]~P21(x8721,x8722)+P21(f62(x8721,x8721,x8722,x8722,x8722),x8722)
% 0.87/1.07 [912]P21(x9121,x9122)+~P21(f62(x9121,x9121,x9122,x9122,x9122),x9122)
% 0.87/1.07 [513]~P3(x5132)+E(f48(x5131,f49(x5132),x5132),x5131)
% 0.87/1.07 [514]~P3(x5141)+E(f48(f49(x5141),x5142,x5141),x5142)
% 0.87/1.07 [515]~P3(x5152)+E(f3(x5151,f49(x5152),x5152),f49(x5152))
% 0.87/1.07 [516]~P3(x5161)+E(f3(f49(x5161),x5162,x5161),f49(x5161))
% 0.87/1.07 [586]~P19(x5861,f49(f73(x5862,a1)),f73(x5862,a1))+E(x5861,f49(f73(x5862,a1)))
% 0.87/1.07 [744]P15(x7441,x7442)+P20(f54(f18(x7441,x7442),f18(x7441,x7442),x7442,x7442),x7441,f75(x7442,x7442))
% 0.87/1.07 [781]P13(x7811,x7812)+~P20(f54(f52(x7811,x7812),f52(x7811,x7812),x7812,x7812),x7811,f75(x7812,x7812))
% 0.87/1.07 [794]~P17(x7941,x7942)+E(f62(x7941,f56(x7941,x7942),x7942,x7942,x7942),x7941)
% 0.87/1.07 [877]~P21(x8771,x8772)+P21(f62(x8771,f56(x8771,x8772),x8772,x8772,x8772),x8772)
% 0.87/1.07 [878]~P7(x8781,x8782)+P7(f62(x8781,f56(x8781,x8782),x8782,x8782,x8782),x8782)
% 0.87/1.07 [883]~P17(x8831,x8832)+P19(f62(x8831,x8831,x8832,x8832,x8832),x8831,f73(f75(x8832,x8832),a1))
% 0.87/1.07 [894]P9(f60(f66(x8941,x8941),x8942,f75(x8941,x8941),x8941),x8942,x8941)+~E(f62(f57(x8942,x8941,x8941),x8942,x8941,x8941,x8941),x8942)
% 0.87/1.07 [768]~P17(x7681,x7682)+P17(f48(x7681,f56(f49(f73(f75(x7682,x7682),a1)),x7682),f73(f75(x7682,x7682),a1)),x7682)
% 0.87/1.07 [769]~P8(x7691,x7692)+P8(f48(x7691,f56(f49(f73(f75(x7692,x7692),a1)),x7692),f73(f75(x7692,x7692),a1)),x7692)
% 0.87/1.07 [819]P8(x8191,x8192)+~P8(f48(x8191,f56(f49(f73(f75(x8192,x8192),a1)),x8192),f73(f75(x8192,x8192),a1)),x8192)
% 0.87/1.07 [857]P21(x8571,x8572)+~E(f62(x8571,x8571,x8572,x8572,x8572),f49(f73(f75(x8572,x8572),a1)))
% 0.87/1.07 [925]~P21(f57(x9251,x9252,x9252),x9252)+P21(f57(f62(x9251,f56(x9251,x9252),x9252,x9252,x9252),x9252,x9252),x9252)
% 0.87/1.07 [767]E(f54(f12(x7671,x7672),f12(x7671,x7672),x7672,x7672),x7671)+~P20(x7671,f56(f49(f73(f75(x7672,x7672),a1)),x7672),f75(x7672,x7672))
% 0.87/1.07 [518]P7(x5181,x5182)+~P9(x5183,x5181,x5182)
% 0.87/1.07 [519]P17(x5191,x5192)+~P9(x5193,x5191,x5192)
% 0.87/1.07 [520]P17(x5201,x5202)+~P12(x5203,x5201,x5202)
% 0.87/1.07 [521]P15(x5211,x5212)+~P12(x5213,x5211,x5212)
% 0.87/1.07 [533]~P9(x5331,x5332,x5333)+P14(x5331,x5332,x5333)
% 0.87/1.07 [534]~P12(x5341,x5342,x5343)+P18(x5341,x5342,x5343)
% 0.87/1.07 [523]P20(x5231,x5232,x5233)+~P32(f65(x5232,x5231))
% 0.87/1.07 [524]~P21(x5242,x5243)+P20(x5241,f64(x5242,x5243),x5243)
% 0.87/1.07 [527]~P25(x5273)+E(f3(x5271,x5272,x5273),f3(x5272,x5271,x5273))
% 0.87/1.07 [528]~P26(x5283)+E(f3(x5281,x5282,x5283),f3(x5282,x5281,x5283))
% 0.87/1.07 [529]~P24(x5293)+E(f48(x5291,x5292,x5293),f48(x5292,x5291,x5293))
% 0.87/1.07 [530]~P25(x5303)+E(f48(x5301,x5302,x5303),f48(x5302,x5301,x5303))
% 0.87/1.07 [531]~P20(x5312,x5311,x5313)+P32(f65(x5311,x5312))
% 0.87/1.07 [535]~P20(x5351,x5352,x5353)+E(f59(x5351,x5352,x5353),x5352)
% 0.87/1.07 [547]~P24(x5473)+P19(x5471,f48(x5472,x5471,x5473),x5473)
% 0.87/1.07 [548]~P25(x5483)+P19(x5481,f48(x5482,x5481,x5483),x5483)
% 0.87/1.07 [549]~P24(x5493)+P19(x5491,f48(x5491,x5492,x5493),x5493)
% 0.87/1.07 [550]~P25(x5503)+P19(x5501,f48(x5501,x5502,x5503),x5503)
% 0.87/1.07 [551]~P25(x5513)+P19(f3(x5511,x5512,x5513),x5512,x5513)
% 0.87/1.07 [552]~P26(x5523)+P19(f3(x5521,x5522,x5523),x5522,x5523)
% 0.87/1.07 [553]~P25(x5533)+P19(f3(x5531,x5532,x5533),x5531,x5533)
% 0.87/1.07 [554]~P26(x5543)+P19(f3(x5541,x5542,x5543),x5541,x5543)
% 0.87/1.07 [587]~P20(x5871,x5872,f75(x5873,x5873))+P20(x5871,f56(x5872,x5873),f75(x5873,x5873))
% 0.87/1.07 [599]~P14(x5991,x5992,x5993)+P14(x5991,f57(x5992,x5993,x5993),x5993)
% 0.87/1.07 [600]~P18(x6001,x6002,x6003)+P18(x6001,f57(x6002,x6003,x6003),x6003)
% 0.87/1.07 [622]P14(x6221,x6222,x6223)+~P14(x6221,f57(x6222,x6223,x6223),x6223)
% 0.87/1.07 [623]P18(x6231,x6232,x6233)+~P18(x6231,f57(x6232,x6233,x6233),x6233)
% 0.87/1.07 [641]~P20(x6412,f2(x6411,x6413),f75(x6413,x6413))+P20(f11(x6411,x6412,x6413),x6411,x6413)
% 0.87/1.07 [670]~P20(f37(x6702,x6701,x6703),f64(x6702,x6703),x6703)+P20(x6701,f64(x6702,x6703),x6703)
% 0.87/1.07 [671]~P20(f17(x6712,x6711,x6713),f64(x6712,x6713),x6713)+P20(x6711,f64(x6712,x6713),x6713)
% 0.87/1.07 [730]~P13(x7303,x7302)+P20(f54(x7301,x7301,x7302,x7302),x7303,f75(x7302,x7302))
% 0.87/1.07 [743]~P20(x7431,x7433,x7432)+P20(f54(x7431,x7431,x7432,x7432),f2(x7433,x7432),f75(x7432,x7432))
% 0.87/1.07 [763]~P21(x7631,x7632)+~P20(f54(x7633,x7633,x7632,x7632),x7631,f75(x7632,x7632))
% 0.87/1.07 [764]~P15(x7641,x7642)+~P20(f54(x7643,x7643,x7642,x7642),x7641,f75(x7642,x7642))
% 0.87/1.07 [555]~P25(x5553)+E(f3(x5551,f48(x5551,x5552,x5553),x5553),x5551)
% 0.87/1.07 [556]~P25(x5563)+E(f48(x5561,f3(x5561,x5562,x5563),x5563),x5561)
% 0.87/1.07 [567]E(x5671,f49(f73(x5672,a1)))+~E(f48(x5673,x5671,f73(x5672,a1)),f49(f73(x5672,a1)))
% 0.87/1.07 [568]E(x5681,f49(f73(x5682,a1)))+~E(f48(x5681,x5683,f73(x5682,a1)),f49(f73(x5682,a1)))
% 0.87/1.07 [572]~P19(x5722,x5721,f73(x5723,a1))+E(f3(x5721,x5722,f73(x5723,a1)),x5722)
% 0.87/1.07 [573]~P19(x5731,x5732,f73(x5733,a1))+E(f3(x5731,x5732,f73(x5733,a1)),x5731)
% 0.87/1.07 [574]~P19(x5741,x5742,f73(x5743,a1))+E(f48(x5741,x5742,f73(x5743,a1)),x5742)
% 0.87/1.07 [575]~P19(x5752,x5751,f73(x5753,a1))+E(f48(x5751,x5752,f73(x5753,a1)),x5751)
% 0.87/1.07 [576]P19(x5761,x5762,f73(x5763,a1))+~E(f48(x5761,x5762,f73(x5763,a1)),x5762)
% 0.87/1.07 [582]~P25(x5823)+E(f3(x5821,f3(x5821,x5822,x5823),x5823),f3(x5821,x5822,x5823))
% 0.87/1.07 [583]~P26(x5833)+E(f3(x5831,f3(x5831,x5832,x5833),x5833),f3(x5831,x5832,x5833))
% 0.87/1.07 [584]~P24(x5843)+E(f48(x5841,f48(x5841,x5842,x5843),x5843),f48(x5841,x5842,x5843))
% 0.87/1.07 [585]~P25(x5853)+E(f48(x5851,f48(x5851,x5852,x5853),x5853),f48(x5851,x5852,x5853))
% 0.87/1.07 [594]E(f4(x5941,x5942,f73(x5943,a1)),x5941)+~E(f3(x5941,x5942,f73(x5943,a1)),f49(f73(x5943,a1)))
% 0.87/1.07 [650]P19(f64(x6501,x6502),f64(x6503,x6502),f73(x6502,a1))+~P19(x6503,x6501,f73(f75(x6502,x6502),a1))
% 0.87/1.07 [666]~P19(x6661,x6662,f73(x6663,a1))+E(f48(x6661,f4(x6662,x6661,f73(x6663,a1)),f73(x6663,a1)),x6662)
% 0.87/1.07 [679]~P19(x6791,x6793,f73(f75(x6792,x6792),a1))+P19(f56(x6791,x6792),f56(x6793,x6792),f73(f75(x6792,x6792),a1))
% 0.87/1.07 [687]~P19(x6871,f56(x6873,x6872),f73(f75(x6872,x6872),a1))+P19(f56(x6871,x6872),f56(x6873,x6872),f73(f75(x6872,x6872),a1))
% 0.87/1.07 [703]P20(x7031,x7032,x7033)+E(f4(f59(x7031,x7032,x7033),f59(x7031,f49(f73(x7033,a1)),x7033),f73(x7033,a1)),x7032)
% 0.87/1.07 [734]~P20(x7342,f2(x7341,x7343),f75(x7343,x7343))+E(f54(f11(x7341,x7342,x7343),f11(x7341,x7342,x7343),x7343,x7343),x7342)
% 0.87/1.07 [735]E(x7351,x7352)+P20(f54(x7351,x7352,a69,a69),f65(f65(a7,x7353),x7352),f75(a69,a69))
% 0.87/1.07 [736]E(x7361,x7362)+P20(f54(x7361,x7362,a69,a69),f65(f65(a42,x7363),x7361),f75(a69,a69))
% 0.87/1.07 [758]P20(x7581,f64(x7582,x7583),x7583)+P20(f54(f37(x7582,x7581,x7583),x7581,x7583,x7583),x7582,f75(x7583,x7583))
% 0.87/1.07 [759]P20(x7591,f64(x7592,x7593),x7593)+P20(f54(f17(x7592,x7591,x7593),x7591,x7593,x7593),x7592,f75(x7593,x7593))
% 0.87/1.07 [808]~P9(x8083,x8081,x8082)+E(f62(f57(x8081,x8082,x8082),x8081,x8082,x8082,x8082),x8081)
% 0.87/1.07 [892]~P20(x8921,x8922,f75(x8923,x8923))+P20(x8921,f62(x8922,f56(x8922,x8923),x8923,x8923,x8923),f75(x8923,x8923))
% 0.87/1.07 [898]~P14(x8983,x8981,x8982)+P19(x8981,f62(f57(x8981,x8982,x8982),x8981,x8982,x8982,x8982),f73(f75(x8982,x8982),a1))
% 0.87/1.07 [916]~P20(f54(x9163,x9163,x9162,x9162),x9161,f75(x9162,x9162))+P20(f54(f29(x9161,x9162),f29(x9161,x9162),x9162,x9162),f62(x9161,f56(x9161,x9162),x9162,x9162,x9162),f75(x9162,x9162))
% 0.87/1.07 [920]~P22(x9201,x9202)+~P20(f54(x9203,x9203,x9202,x9202),f62(x9201,f56(x9201,x9202),x9202,x9202,x9202),f75(x9202,x9202))
% 0.87/1.07 [557]E(x5571,x5572)+~P32(f65(f65(f63(x5573),x5571),x5572))
% 0.87/1.07 [617]~P21(x6172,x6173)+P21(f3(x6171,x6172,f73(f75(x6173,x6173),a1)),x6173)
% 0.87/1.07 [618]~P21(x6181,x6183)+P21(f3(x6181,x6182,f73(f75(x6183,x6183),a1)),x6183)
% 0.87/1.07 [651]E(x6511,x6512)+~E(f59(x6511,f49(f73(x6513,a1)),x6513),f59(x6512,f49(f73(x6513,a1)),x6513))
% 0.87/1.07 [684]E(x6841,x6842)+~P20(x6841,f59(x6842,f49(f73(x6843,a1)),x6843),x6843)
% 0.87/1.07 [745]~P20(x7451,x7452,x7453)+E(f59(x7451,f4(x7452,f59(x7451,f49(f73(x7453,a1)),x7453),f73(x7453,a1)),x7453),x7452)
% 0.87/1.07 [748]~E(f60(f66(x7483,x7482),f57(x7481,x7482,x7483),f75(x7483,x7482),x7483),f49(f73(x7483,a1)))+E(x7481,f49(f73(f75(x7482,x7483),a1)))
% 0.87/1.07 [772]~P14(x7722,x7721,x7723)+P19(x7721,f53(x7722,f5(x7722,f73(x7723,a1),x7723),x7723,x7723),f73(f75(x7723,x7723),a1))
% 0.87/1.07 [773]~P9(x7732,x7731,x7733)+P19(x7731,f53(x7732,f5(x7732,f73(x7733,a1),x7733),x7733,x7733),f73(f75(x7733,x7733),a1))
% 0.87/1.07 [780]~P18(x7801,x7802,x7803)+P18(x7801,f4(x7802,f56(f49(f73(f75(x7803,x7803),a1)),x7803),f73(f75(x7803,x7803),a1)),x7803)
% 0.87/1.07 [833]P18(x8331,x8332,x8333)+~P18(x8331,f4(x8332,f56(f49(f73(f75(x8333,x8333),a1)),x8333),f73(f75(x8333,x8333),a1)),x8333)
% 0.87/1.07 [922]~P19(x9221,f53(x9223,f5(x9223,f73(x9222,a1),x9222),x9222,x9222),f73(f75(x9222,x9222),a1))+P19(f62(x9221,f56(x9221,x9222),x9222,x9222,x9222),f53(x9223,f5(x9223,f73(x9222,a1),x9222),x9222,x9222),f73(f75(x9222,x9222),a1))
% 0.87/1.07 [926]~P20(f54(x9263,x9263,x9262,x9262),f62(x9261,f56(x9261,x9262),x9262,x9262,x9262),f75(x9262,x9262))+~E(f3(f57(x9261,x9262,x9262),f56(x9261,x9262),f73(f75(x9262,x9262),a1)),f49(f73(f75(x9262,x9262),a1)))
% 0.87/1.07 [959]~P21(f48(x9591,x9593,f73(f75(x9592,x9592),a1)),x9592)+P21(f48(f48(f62(x9591,x9591,x9592,x9592,x9592),f62(x9593,x9591,x9592,x9592,x9592),f73(f75(x9592,x9592),a1)),x9593,f73(f75(x9592,x9592),a1)),x9592)
% 0.87/1.07 [962]~P21(f48(f48(f62(x9621,x9621,x9623,x9623,x9623),f62(x9622,x9621,x9623,x9623,x9623),f73(f75(x9623,x9623),a1)),x9622,f73(f75(x9623,x9623),a1)),x9623)+P21(f48(x9621,x9622,f73(f75(x9623,x9623),a1)),x9623)
% 0.87/1.07 [815]E(x8151,x8152)+~P20(f54(x8151,x8152,x8153,x8153),f56(f49(f73(f75(x8153,x8153),a1)),x8153),f75(x8153,x8153))
% 0.87/1.07 [598]~P20(x5981,x5983,x5984)+P20(x5981,f59(x5982,x5983,x5984),x5984)
% 0.87/1.07 [621]~P19(x6211,x6213,f73(x6214,a1))+P19(x6211,f59(x6212,x6213,x6214),f73(x6214,a1))
% 0.87/1.07 [659]P20(x6591,x6592,x6593)+~P19(f59(x6591,x6594,x6593),x6592,f73(x6593,a1))
% 0.87/1.07 [669]~P19(f59(x6694,x6691,x6693),x6692,f73(x6693,a1))+P19(x6691,x6692,f73(x6693,a1))
% 0.87/1.07 [682]~P19(x6822,x6824,f73(x6823,a1))+P19(f59(x6821,x6822,x6823),f59(x6821,x6824,x6823),f73(x6823,a1))
% 0.87/1.07 [715]~P21(x7151,x7153)+P21(f61(x7151,x7152,x7153,x7154),x7154)
% 0.87/1.07 [716]~P7(x7161,x7163)+P7(f61(x7161,x7162,x7163,x7164),x7164)
% 0.87/1.07 [717]~P17(x7171,x7173)+P17(f61(x7171,x7172,x7173,x7174),x7174)
% 0.87/1.07 [765]E(x7651,x7652)+~P20(f54(x7651,x7652,x7653,x7653),f2(x7654,x7653),f75(x7653,x7653))
% 0.87/1.07 [771]P20(x7711,x7712,x7713)+~P20(f54(x7711,x7714,x7713,x7713),f2(x7712,x7713),f75(x7713,x7713))
% 0.87/1.07 [616]~P32(f65(x6162,x6164))+P32(f65(f59(x6161,x6162,x6163),x6164))
% 0.87/1.07 [619]~P20(x6191,x6193,x6194)+P20(x6191,f48(x6192,x6193,f73(x6194,a1)),x6194)
% 0.87/1.07 [620]~P20(x6201,x6202,x6204)+P20(x6201,f48(x6202,x6203,f73(x6204,a1)),x6204)
% 0.87/1.07 [636]P20(x6362,x6361,x6364)+E(f3(x6361,f59(x6362,x6363,x6364),f73(x6364,a1)),f3(x6361,x6363,f73(x6364,a1)))
% 0.87/1.07 [637]P20(x6371,x6374,x6373)+E(f3(f59(x6371,x6372,x6373),x6374,f73(x6373,a1)),f3(x6372,x6374,f73(x6373,a1)))
% 0.87/1.07 [642]~P25(x6424)+E(f3(x6421,f3(x6422,x6423,x6424),x6424),f3(x6422,f3(x6421,x6423,x6424),x6424))
% 0.87/1.07 [643]~P26(x6434)+E(f3(x6431,f3(x6432,x6433,x6434),x6434),f3(x6432,f3(x6431,x6433,x6434),x6434))
% 0.87/1.07 [644]~P24(x6444)+E(f48(x6441,f48(x6442,x6443,x6444),x6444),f48(x6442,f48(x6441,x6443,x6444),x6444))
% 0.87/1.07 [645]~P25(x6454)+E(f48(x6451,f48(x6452,x6453,x6454),x6454),f48(x6452,f48(x6451,x6453,x6454),x6454))
% 0.87/1.07 [646]~P25(x6463)+E(f3(f3(x6461,x6462,x6463),x6464,x6463),f3(x6461,f3(x6462,x6464,x6463),x6463))
% 0.87/1.07 [647]~P26(x6473)+E(f3(f3(x6471,x6472,x6473),x6474,x6473),f3(x6471,f3(x6472,x6474,x6473),x6473))
% 0.87/1.07 [648]~P24(x6483)+E(f48(f48(x6481,x6482,x6483),x6484,x6483),f48(x6481,f48(x6482,x6484,x6483),x6483))
% 0.87/1.07 [649]~P25(x6493)+E(f48(f48(x6491,x6492,x6493),x6494,x6493),f48(x6491,f48(x6492,x6494,x6493),x6493))
% 0.87/1.07 [663]~P20(x6631,x6634,x6633)+E(f4(f59(x6631,x6632,x6633),x6634,f73(x6633,a1)),f4(x6632,x6634,f73(x6633,a1)))
% 0.87/1.07 [674]P20(x6741,x6742,x6743)+~P20(x6741,f3(x6744,x6742,f73(x6743,a1)),x6743)
% 0.87/1.07 [675]P20(x6751,x6752,x6753)+~P20(x6751,f3(x6752,x6754,f73(x6753,a1)),x6753)
% 0.87/1.07 [676]P20(x6761,x6762,x6763)+~P20(x6761,f4(x6762,x6764,f73(x6763,a1)),x6763)
% 0.87/1.07 [681]~P20(x6811,x6812,x6813)+~P20(x6811,f4(x6814,x6812,f73(x6813,a1)),x6813)
% 0.87/1.07 [690]~P2(x6903)+E(f48(f3(x6901,x6902,x6903),f3(x6901,x6904,x6903),x6903),f3(x6901,f48(x6902,x6904,x6903),x6903))
% 0.87/1.07 [691]~P2(x6913)+E(f3(f48(x6911,x6912,x6913),f48(x6911,x6914,x6913),x6913),f48(x6911,f3(x6912,x6914,x6913),x6913))
% 0.87/1.07 [692]~P2(x6923)+E(f48(f3(x6921,x6922,x6923),f3(x6924,x6922,x6923),x6923),f3(f48(x6921,x6924,x6923),x6922,x6923))
% 0.87/1.07 [693]~P2(x6933)+E(f3(f48(x6931,x6932,x6933),f48(x6934,x6932,x6933),x6933),f48(f3(x6931,x6934,x6933),x6932,x6933))
% 0.87/1.07 [698]P19(x6981,x6982,f73(x6983,a1))+~P19(x6981,f3(x6984,x6982,f73(x6983,a1)),f73(x6983,a1))
% 0.87/1.07 [699]P19(x6991,x6992,f73(x6993,a1))+~P19(x6991,f3(x6992,x6994,f73(x6993,a1)),f73(x6993,a1))
% 0.87/1.07 [700]P19(x7001,x7002,f73(x7003,a1))+~P19(f48(x7004,x7001,f73(x7003,a1)),x7002,f73(x7003,a1))
% 0.87/1.07 [701]P19(x7011,x7012,f73(x7013,a1))+~P19(f48(x7011,x7014,f73(x7013,a1)),x7012,f73(x7013,a1))
% 0.87/1.07 [705]~E(f60(x7053,x7051,x7052,x7054),f49(f73(x7054,a1)))+E(x7051,f49(f73(x7052,a1)))
% 0.87/1.07 [723]~P19(x7234,x7231,f73(x7233,a1))+E(f48(f3(x7231,x7232,f73(x7233,a1)),x7234,f73(x7233,a1)),f3(x7231,f48(x7232,x7234,f73(x7233,a1)),f73(x7233,a1)))
% 0.87/1.07 [727]~P19(f4(x7271,x7272,f73(x7274,a1)),x7273,f73(x7274,a1))+P19(x7271,f48(x7272,x7273,f73(x7274,a1)),f73(x7274,a1))
% 0.87/1.07 [728]~P19(x7281,f48(x7282,x7284,f73(x7283,a1)),f73(x7283,a1))+P19(f4(x7281,x7282,f73(x7283,a1)),x7284,f73(x7283,a1))
% 0.87/1.07 [753]P19(x7531,x7532,f73(x7533,a1))+~E(f48(f3(x7532,x7534,f73(x7533,a1)),x7531,f73(x7533,a1)),f3(x7532,f48(x7534,x7531,f73(x7533,a1)),f73(x7533,a1)))
% 0.87/1.07 [761]~P25(x7614)+P19(f48(x7611,f3(x7612,x7613,x7614),x7614),f3(f48(x7611,x7612,x7614),f48(x7611,x7613,x7614),x7614),x7614)
% 0.87/1.07 [762]~P25(x7623)+P19(f48(f3(x7621,x7622,x7623),f3(x7621,x7624,x7623),x7623),f3(x7621,f48(x7622,x7624,x7623),x7623),x7623)
% 0.87/1.07 [839]~P20(f54(x8392,x8391,x8393,x8393),f56(x8394,x8393),f75(x8393,x8393))+P20(f54(x8391,x8392,x8393,x8393),f56(f57(x8394,x8393,x8393),x8393),f75(x8393,x8393))
% 0.87/1.07 [848]P21(x8481,x8482)+~P21(f59(f54(x8483,x8484,x8482,x8482),x8481,f75(x8482,x8482)),x8482)
% 0.87/1.07 [849]P22(x8491,x8492)+~P22(f59(f54(x8493,x8494,x8492,x8492),x8491,f75(x8492,x8492)),x8492)
% 0.87/1.07 [851]P20(f54(x8511,x8512,x8513,x8513),f56(x8514,x8513),f75(x8513,x8513))+~P20(f54(x8512,x8511,x8513,x8513),f56(f57(x8514,x8513,x8513),x8513),f75(x8513,x8513))
% 0.87/1.07 [885]~P20(x8851,f60(f66(x8853,x8854),x8852,f75(x8853,x8854),x8853),x8853)+P20(f54(x8851,f13(x8851,x8852,x8853,x8854),x8853,x8854),x8852,f75(x8853,x8854))
% 0.87/1.07 [886]~P20(x8861,f60(f66(x8863,x8864),x8862,f75(x8863,x8864),x8863),x8863)+P20(f54(x8861,f15(x8861,x8862,x8863,x8864),x8863,x8864),x8862,f75(x8863,x8864))
% 0.87/1.07 [895]~P20(f54(x8952,x8951,x8953,x8953),f56(x8954,x8953),f75(x8953,x8953))+~P21(f59(f54(x8951,x8952,x8953,x8953),x8954,f75(x8953,x8953)),x8953)
% 0.87/1.07 [896]~P20(f54(x8962,x8961,x8963,x8963),f56(x8964,x8963),f75(x8963,x8963))+~P22(f59(f54(x8961,x8962,x8963,x8963),x8964,f75(x8963,x8963)),x8963)
% 0.87/1.07 [901]~P20(x9011,f60(f66(x9013,x9014),f57(x9012,x9014,x9013),f75(x9013,x9014),x9013),x9013)+P20(f54(f19(x9011,x9012,x9013,x9014),x9011,x9014,x9013),x9012,f75(x9014,x9013))
% 0.87/1.07 [902]~P20(x9021,f60(f66(x9023,x9024),f57(x9022,x9024,x9023),f75(x9023,x9024),x9023),x9023)+P20(f54(f22(x9021,x9022,x9023,x9024),x9021,x9024,x9023),x9022,f75(x9024,x9023))
% 0.87/1.07 [928]P20(f54(x9281,x9282,x9283,x9283),f56(x9284,x9283),f75(x9283,x9283))+~P20(f54(x9281,x9282,x9283,x9283),f62(x9284,f56(x9284,x9283),x9283,x9283,x9283),f75(x9283,x9283))
% 0.87/1.07 [937]~P20(f54(x9371,x9373,x9374,x9374),f62(x9372,f56(x9372,x9374),x9374,x9374,x9374),f75(x9374,x9374))+P20(f54(x9371,f32(x9372,x9371,x9373,x9374),x9374,x9374),x9372,f75(x9374,x9374))
% 0.87/1.07 [938]~P20(f54(x9382,x9383,x9384,x9384),f62(x9381,f56(x9381,x9384),x9384,x9384,x9384),f75(x9384,x9384))+P20(f54(f33(x9381,x9382,x9383,x9384),x9383,x9384,x9384),x9381,f75(x9384,x9384))
% 0.87/1.07 [939]~P20(f54(x9391,x9393,x9394,x9394),f62(x9392,f56(x9392,x9394),x9394,x9394,x9394),f75(x9394,x9394))+P20(f54(x9391,f33(x9392,x9391,x9393,x9394),x9394,x9394),f56(x9392,x9394),f75(x9394,x9394))
% 0.87/1.07 [940]~P20(f54(x9402,x9403,x9404,x9404),f62(x9401,f56(x9401,x9404),x9404,x9404,x9404),f75(x9404,x9404))+P20(f54(f32(x9401,x9402,x9403,x9404),x9403,x9404,x9404),f56(x9401,x9404),f75(x9404,x9404))
% 0.87/1.07 [677]~P32(f65(x6772,x6774))+P32(f65(f48(x6771,x6772,f73(x6773,a1)),x6774))
% 0.87/1.07 [678]~P32(f65(x6781,x6784))+P32(f65(f48(x6781,x6782,f73(x6783,a1)),x6784))
% 0.87/1.07 [702]P20(x7021,x7024,x7023)+E(f4(f59(x7021,x7022,x7023),x7024,f73(x7023,a1)),f59(x7021,f4(x7022,x7024,f73(x7023,a1)),x7023))
% 0.87/1.07 [712]~P20(x7121,x7122,x7124)+E(f59(x7121,f3(x7122,x7123,f73(x7124,a1)),x7124),f3(x7122,f59(x7121,x7123,x7124),f73(x7124,a1)))
% 0.87/1.07 [713]~P20(x7131,x7133,x7134)+E(f59(x7131,f3(x7132,x7133,f73(x7134,a1)),x7134),f3(f59(x7131,x7132,x7134),x7133,f73(x7134,a1)))
% 0.87/1.07 [714]E(x7141,f49(f73(x7142,a1)))+E(f60(f5(x7143,x7144,x7142),x7141,x7142,x7144),f59(x7143,f49(f73(x7144,a1)),x7144))
% 0.87/1.07 [721]P32(f65(x7211,x7212))+~P32(f65(f3(x7213,x7211,f73(x7214,a1)),x7212))
% 0.87/1.07 [722]P32(f65(x7221,x7222))+~P32(f65(f3(x7221,x7223,f73(x7224,a1)),x7222))
% 0.87/1.07 [956]~P20(f54(x9561,x9562,x9563,x9563),f62(f57(x9564,x9563,x9563),f56(f57(x9564,x9563,x9563),x9563),x9563,x9563,x9563),f75(x9563,x9563))+P20(f54(x9561,x9562,x9563,x9563),f57(f62(x9564,f56(x9564,x9563),x9563,x9563,x9563),x9563,x9563),f75(x9563,x9563))
% 0.87/1.07 [957]~P20(f54(x9571,x9572,x9573,x9573),f57(f62(x9574,f56(x9574,x9573),x9573,x9573,x9573),x9573,x9573),f75(x9573,x9573))+P20(f54(x9571,x9572,x9573,x9573),f62(f57(x9574,x9573,x9573),f56(f57(x9574,x9573,x9573),x9573),x9573,x9573,x9573),f75(x9573,x9573))
% 0.87/1.07 [751]~P20(x7511,f56(x7513,x7514),f75(x7514,x7514))+P20(x7511,f56(f48(x7512,x7513,f73(f75(x7514,x7514),a1)),x7514),f75(x7514,x7514))
% 0.87/1.07 [752]~P20(x7521,f56(x7522,x7524),f75(x7524,x7524))+P20(x7521,f56(f48(x7522,x7523,f73(f75(x7524,x7524),a1)),x7524),f75(x7524,x7524))
% 0.87/1.07 [742]~P20(x7422,x7423,x7424)+P20(f65(x7421,x7422),f60(x7421,x7423,x7424,x7425),x7425)
% 0.87/1.07 [790]~P19(x7902,x7905,f73(x7903,a1))+P19(f60(x7901,x7902,x7903,x7904),f60(x7901,x7905,x7903,x7904),f73(x7904,a1))
% 0.87/1.07 [831]~P20(f54(x8312,x8311,x8314,x8313),x8315,f75(x8314,x8313))+P20(f54(x8311,x8312,x8313,x8314),f57(x8315,x8314,x8313),f75(x8313,x8314))
% 0.87/1.07 [834]~P20(f54(x8342,x8341,x8344,x8343),f57(x8345,x8343,x8344),f75(x8344,x8343))+P20(f54(x8341,x8342,x8343,x8344),x8345,f75(x8343,x8344))
% 0.87/1.07 [904]~P20(x9042,f58(x9043,x9041,x9044,x9045),x9045)+P20(f20(x9041,x9042,x9043,x9044,x9045),x9041,x9044)
% 0.87/1.07 [905]~P20(x9052,f58(x9053,x9051,x9054,x9055),x9055)+P20(f21(x9051,x9052,x9053,x9054,x9055),x9051,x9054)
% 0.87/1.07 [908]~P20(x9083,f53(x9081,x9082,x9084,x9085),f75(x9084,x9085))+P20(f14(x9081,x9082,x9083,x9084,x9085),x9081,x9084)
% 0.87/1.07 [760]~P20(x7602,x7603,x7604)+E(f59(f65(x7601,x7602),f60(x7601,x7603,x7604,x7605),x7605),f60(x7601,x7603,x7604,x7605))
% 0.87/1.07 [827]~P20(f54(x8271,x8275,x8272,x8273),x8274,f75(x8272,x8273))+P20(x8271,f60(f66(x8272,x8273),x8274,f75(x8272,x8273),x8272),x8272)
% 0.87/1.07 [842]~P20(f54(x8425,x8421,x8423,x8422),x8424,f75(x8423,x8422))+P20(x8421,f60(f66(x8422,x8423),f57(x8424,x8423,x8422),f75(x8422,x8423),x8422),x8422)
% 0.87/1.07 [934]~P20(x9342,f58(x9343,x9341,x9344,x9345),x9345)+P20(f54(f20(x9341,x9342,x9343,x9344,x9345),x9342,x9344,x9345),x9343,f75(x9344,x9345))
% 0.87/1.07 [935]~P20(x9352,f58(x9353,x9351,x9354,x9355),x9355)+P20(f54(f21(x9351,x9352,x9353,x9354,x9355),x9352,x9354,x9355),x9353,f75(x9354,x9355))
% 0.87/1.07 [720]~P20(x7205,x7204,x7203)+E(f60(f5(x7201,x7202,x7203),x7204,x7203,x7202),f59(x7201,f49(f73(x7202,a1)),x7202))
% 0.87/1.07 [806]P20(f54(x8061,x8062,x8063,x8064),x8065,f75(x8063,x8064))+~P32(f65(f65(f46(x8065,x8063,x8064),x8061),x8062))
% 0.87/1.07 [810]~P20(f54(x8104,x8105,x8102,x8103),x8101,f75(x8102,x8103))+P32(f65(f65(f46(x8101,x8102,x8103),x8104),x8105))
% 0.87/1.07 [836]~P16(f57(x8361,x8363,x8364),x8364,x8363)+E(f3(f58(x8361,x8362,x8363,x8364),f58(x8361,x8365,x8363,x8364),f73(x8364,a1)),f58(x8361,f3(x8362,x8365,f73(x8363,a1)),x8363,x8364))
% 0.87/1.07 [941]~P32(f65(f65(x9411,x9415),x9414))+P32(f65(f65(x9411,f65(f67(x9412,x9413),f54(x9414,x9415,x9412,x9413))),f65(f66(x9412,x9413),f54(x9414,x9415,x9412,x9413))))
% 0.87/1.07 [850]~P20(f54(x8503,x8501,x8504,x8505),x8502,f75(x8504,x8505))+P20(x8501,f58(x8502,f59(x8503,f49(f73(x8504,a1)),x8504),x8504,x8505),x8505)
% 0.87/1.07 [861]P20(f54(x8611,x8612,x8613,x8614),x8615,f75(x8613,x8614))+~P20(x8612,f58(x8615,f59(x8611,f49(f73(x8613,a1)),x8613),x8613,x8614),x8614)
% 0.87/1.07 [749]E(x7491,x7492)+~E(f54(x7493,x7491,x7494,x7495),f54(x7496,x7492,x7494,x7495))
% 0.87/1.07 [750]E(x7501,x7502)+~E(f54(x7501,x7503,x7504,x7505),f54(x7502,x7506,x7504,x7505))
% 0.87/1.07 [838]P20(x8381,x8382,x8383)+~P20(f54(x8381,x8384,x8383,x8385),f53(x8382,x8386,x8383,x8385),f75(x8383,x8385))
% 0.87/1.07 [840]~P20(f54(x8403,x8401,x8405,x8404),f53(x8406,x8402,x8405,x8404),f75(x8405,x8404))+P20(x8401,f65(x8402,x8403),x8404)
% 0.87/1.07 [862]P20(f54(x8621,x8622,x8623,x8623),f61(x8624,x8625,x8626,x8623),f75(x8623,x8623))+~P20(f54(f65(x8625,x8621),f65(x8625,x8622),x8626,x8626),x8624,f75(x8626,x8626))
% 0.87/1.07 [869]~P20(f54(x8692,x8693,x8696,x8696),f61(x8695,x8691,x8694,x8696),f75(x8696,x8696))+P20(f54(f65(x8691,x8692),f65(x8691,x8693),x8694,x8694),x8695,f75(x8694,x8694))
% 0.87/1.07 [907]~P20(f54(x9076,x9073,x9074,x9074),x9072,f75(x9074,x9074))+E(f65(f55(x9071,x9072,x9073,x9074,x9075),x9076),f65(x9071,x9076))
% 0.87/1.07 [961]E(f55(x9611,x9612,x9613,x9614,x9615),f55(x9616,x9612,x9613,x9614,x9615))+P20(f54(f51(x9611,x9616,x9612,x9613,x9614,x9615),x9613,x9614,x9614),x9612,f75(x9614,x9614))
% 0.87/1.07 [963]E(f55(x9631,x9632,x9633,x9634,x9635),f55(x9636,x9632,x9633,x9634,x9635))+~E(f65(x9631,f51(x9631,x9636,x9632,x9633,x9634,x9635)),f65(x9636,f51(x9631,x9636,x9632,x9633,x9634,x9635)))
% 0.87/1.07 [856]P19(f58(x8561,x8562,x8563,x8564),x8565,f73(x8564,a1))+~P19(x8561,f53(x8566,f5(x8565,f73(x8564,a1),x8563),x8563,x8564),f73(f75(x8563,x8564),a1))
% 0.87/1.07 [868]~P20(x8681,f65(f65(x8682,x8686),x8687),x8685)+P20(x8681,f65(f68(x8682,x8683,x8684,f73(x8685,a1)),f54(x8686,x8687,x8683,x8684)),x8685)
% 0.87/1.07 [884]~P20(f54(x8842,x8843,x8844,x8845),x8847,f75(x8844,x8845))+P20(f65(f65(x8841,x8842),x8843),f60(f68(x8841,x8844,x8845,x8846),x8847,f75(x8844,x8845),x8846),x8846)
% 0.87/1.07 [964]~P20(f54(x9641,x9642,x9645,x9646),f62(x9643,x9644,x9645,x9647,x9646),f75(x9645,x9646))+P20(f54(x9641,f25(x9641,x9642,x9643,x9644,x9645,x9646,x9647),x9645,x9647),x9643,f75(x9645,x9647))
% 0.87/1.07 [965]~P20(f54(x9651,x9652,x9655,x9656),f62(x9653,x9654,x9655,x9657,x9656),f75(x9655,x9656))+P20(f54(f25(x9651,x9652,x9653,x9654,x9655,x9656,x9657),x9652,x9657,x9656),x9654,f75(x9657,x9656))
% 0.87/1.07 [944]P32(f65(f65(f65(x9441,x9442),x9443),x9444))+~P32(f65(f65(f68(x9441,x9445,x9446,f73(x9447,a1)),f54(x9442,x9443,x9445,x9446)),x9444))
% 0.87/1.07 [897]~P7(x8971,x8972)+~P17(x8971,x8972)+P19(f62(f57(x8971,x8972,x8972),x8971,x8972,x8972,x8972),x8971,f73(f75(x8972,x8972),a1))
% 0.87/1.07 [770]~P17(x7701,x7702)+~P8(x7701,x7702)+P17(f4(x7701,f56(f49(f73(f75(x7702,x7702),a1)),x7702),f73(f75(x7702,x7702),a1)),x7702)
% 0.87/1.07 [532]P19(x5322,x5321,x5323)+~P30(x5323)+P19(x5321,x5322,x5323)
% 0.87/1.07 [525]~P3(x5252)+~E(f48(x5253,x5251,x5252),f49(x5252))+E(x5251,f49(x5252))
% 0.87/1.07 [526]~P3(x5262)+~E(f48(x5261,x5263,x5262),f49(x5262))+E(x5261,f49(x5262))
% 0.87/1.07 [541]~P26(x5413)+~P19(x5412,x5411,x5413)+E(f3(x5411,x5412,x5413),x5412)
% 0.87/1.07 [542]~P26(x5423)+~P19(x5421,x5422,x5423)+E(f3(x5421,x5422,x5423),x5421)
% 0.87/1.07 [543]~P24(x5433)+~P19(x5431,x5432,x5433)+E(f48(x5431,x5432,x5433),x5432)
% 0.87/1.07 [544]~P24(x5443)+~P19(x5442,x5441,x5443)+E(f48(x5441,x5442,x5443),x5441)
% 0.87/1.07 [545]~P26(x5453)+P19(x5451,x5452,x5453)+~E(f3(x5451,x5452,x5453),x5451)
% 0.87/1.07 [546]~P24(x5463)+P19(x5461,x5462,x5463)+~E(f48(x5461,x5462,x5463),x5462)
% 0.87/1.07 [596]E(x5961,x5962)+~P19(x5961,x5962,f73(x5963,a1))+~P19(x5962,x5961,f73(x5963,a1))
% 0.87/1.07 [590]P21(x5901,x5902)+~P21(x5903,x5902)+~P19(x5901,x5903,f73(f75(x5902,x5902),a1))
% 0.87/1.07 [591]P22(x5911,x5912)+~P22(x5913,x5912)+~P19(x5911,x5913,f73(f75(x5912,x5912),a1))
% 0.87/1.07 [592]P8(x5921,x5922)+~P8(x5923,x5922)+~P19(x5921,x5923,f73(f75(x5922,x5922),a1))
% 0.87/1.07 [613]~P20(x6132,f64(x6133,a70),a70)+P32(f65(x6131,x6132))+~P32(f65(x6131,f82(x6131,x6133)))
% 0.87/1.07 [614]~P20(x6142,f64(x6143,a70),a70)+P32(f65(x6141,x6142))+~P32(f65(x6141,f83(x6141,x6143)))
% 0.87/1.07 [711]E(f56(x7111,x7112),f56(x7113,x7112))+~P19(x7111,f56(x7113,x7112),f73(f75(x7112,x7112),a1))+~P19(x7113,x7111,f73(f75(x7112,x7112),a1))
% 0.87/1.07 [766]~P21(x7663,x7662)+~P19(x7661,f58(x7663,x7661,x7662,x7662),f73(x7662,a1))+E(x7661,f49(f73(x7662,a1)))
% 0.87/1.07 [835]E(x8351,x8352)+~P20(f54(x8351,x8352,a70,a70),f56(x8353,a70),f75(a70,a70))+P20(f54(f85(x8351,x8352,x8353),x8352,a70,a70),x8353,f75(a70,a70))
% 0.87/1.07 [837]E(x8371,x8372)+~P20(f54(x8371,x8372,a70,a70),f56(x8373,a70),f75(a70,a70))+P20(f54(x8371,f85(x8371,x8372,x8373),a70,a70),f56(x8373,a70),f75(a70,a70))
% 0.87/1.07 [933]P20(f54(x9331,x9332,a70,a70),x9333,f75(a70,a70))+P20(f54(f86(x9331,x9332,x9333),x9332,a70,a70),x9333,f75(a70,a70))+~P20(f54(x9331,x9332,a70,a70),f62(x9333,f56(x9333,a70),a70,a70,a70),f75(a70,a70))
% 0.87/1.07 [947]P20(f54(x9471,x9472,a70,a70),x9473,f75(a70,a70))+~P20(f54(x9471,x9472,a70,a70),f62(x9473,f56(x9473,a70),a70,a70,a70),f75(a70,a70))+P20(f54(x9471,f86(x9471,x9472,x9473),a70,a70),f62(x9473,f56(x9473,a70),a70,a70,a70),f75(a70,a70))
% 0.87/1.07 [633]~P7(x6332,x6333)+~P7(x6331,x6333)+P7(f3(x6331,x6332,f73(f75(x6333,x6333),a1)),x6333)
% 0.87/1.07 [634]~P7(x6342,x6343)+~P7(x6341,x6343)+P7(f48(x6341,x6342,f73(f75(x6343,x6343),a1)),x6343)
% 0.87/1.07 [635]~P17(x6352,x6353)+~P17(x6351,x6353)+P17(f3(x6351,x6352,f73(f75(x6353,x6353),a1)),x6353)
% 0.87/1.07 [725]~P19(x7251,f59(x7253,f49(f73(x7252,a1)),x7252),f73(x7252,a1))+E(x7251,f49(f73(x7252,a1)))+E(x7251,f59(x7253,f49(f73(x7252,a1)),x7252))
% 0.87/1.07 [932]P19(f56(x9321,x9322),x9323,f73(f75(x9322,x9322),a1))+~P19(f62(f3(f56(x9321,x9322),x9323,f73(f75(x9322,x9322),a1)),x9321,x9322,x9322,x9322),x9323,f73(f75(x9322,x9322),a1))+~P19(f56(f49(f73(f75(x9322,x9322),a1)),x9322),x9323,f73(f75(x9322,x9322),a1))
% 0.87/1.07 [960]~P19(x9601,x9603,f73(f75(x9602,x9602),a1))+P19(f62(x9601,f56(x9601,x9602),x9602,x9602,x9602),x9603,f73(f75(x9602,x9602),a1))+~P19(f62(f3(f62(x9601,f56(x9601,x9602),x9602,x9602,x9602),x9603,f73(f75(x9602,x9602),a1)),x9601,x9602,x9602,x9602),x9603,f73(f75(x9602,x9602),a1))
% 0.87/1.07 [558]~P27(x5584)+E(x5581,x5582)+~E(f4(x5583,x5583,x5584),f4(x5581,x5582,x5584))
% 0.87/1.07 [559]~P27(x5593)+E(x5591,x5592)+~E(f4(x5591,x5592,x5593),f4(x5594,x5594,x5593))
% 0.87/1.07 [571]~P19(x5713,x5711,f73(x5714,a1))+P32(f65(x5711,x5712))+~P32(f65(x5713,x5712))
% 0.87/1.07 [603]~P24(x6034)+~P19(x6031,x6033,x6034)+P19(x6031,f48(x6032,x6033,x6034),x6034)
% 0.87/1.07 [604]~P24(x6044)+~P19(x6041,x6042,x6044)+P19(x6041,f48(x6042,x6043,x6044),x6044)
% 0.87/1.07 [605]~P26(x6053)+~P19(x6052,x6054,x6053)+P19(f3(x6051,x6052,x6053),x6054,x6053)
% 0.87/1.07 [606]~P26(x6063)+~P19(x6061,x6064,x6063)+P19(f3(x6061,x6062,x6063),x6064,x6063)
% 0.87/1.07 [610]P20(x6101,x6102,x6103)+~P20(x6101,x6104,x6103)+~P19(x6104,x6102,f73(x6103,a1))
% 0.87/1.07 [611]~P21(x6112,x6113)+~P20(x6114,x6111,x6113)+P20(f38(x6111,x6112,x6113),x6111,x6113)
% 0.87/1.07 [612]~P21(x6122,x6123)+~P20(x6124,x6121,x6123)+P20(f36(x6121,x6122,x6123),x6121,x6123)
% 0.87/1.07 [624]E(x6241,x6242)+P20(x6241,x6243,x6244)+~P20(x6241,f59(x6242,x6243,x6244),x6244)
% 0.87/1.07 [626]~P26(x6263)+P19(x6261,x6262,x6263)+~P19(x6261,f3(x6264,x6262,x6263),x6263)
% 0.87/1.07 [628]~P26(x6283)+P19(x6281,x6282,x6283)+~P19(x6281,f3(x6282,x6284,x6283),x6283)
% 0.87/1.07 [630]~P24(x6303)+P19(x6301,x6302,x6303)+~P19(f48(x6304,x6301,x6303),x6302,x6303)
% 0.87/1.07 [632]~P24(x6323)+P19(x6321,x6322,x6323)+~P19(f48(x6321,x6324,x6323),x6322,x6323)
% 0.87/1.07 [640]~P19(x6401,x6404,f73(x6403,a1))+~P19(x6404,x6402,f73(x6403,a1))+P19(x6401,x6402,f73(x6403,a1))
% 0.87/1.07 [661]~P20(x6612,f64(x6613,x6614),x6614)+P20(f16(x6611,x6613,x6614),f64(x6613,x6614),x6614)+P32(f65(x6611,x6612))
% 0.87/1.07 [662]~P20(x6622,f64(x6623,x6624),x6624)+P20(f35(x6621,x6623,x6624),f64(x6623,x6624),x6624)+P32(f65(x6621,x6622))
% 0.87/1.07 [680]~P20(x6801,x6804,x6803)+~P19(x6802,x6804,f73(x6803,a1))+P19(f59(x6801,x6802,x6803),x6804,f73(x6803,a1))
% 0.87/1.07 [686]P20(x6861,x6862,x6863)+~P19(x6862,f59(x6861,x6864,x6863),f73(x6863,a1))+P19(x6862,x6864,f73(x6863,a1))
% 0.87/1.07 [747]~P14(x7474,x7473,x7472)+~P20(x7471,x7474,x7472)+P20(f54(x7471,x7471,x7472,x7472),x7473,f75(x7472,x7472))
% 0.87/1.07 [783]~P20(f54(x7831,x7834,x7833,x7833),x7832,f75(x7833,x7833))+P20(x7831,f64(x7832,x7833),x7833)+~P20(x7834,f64(x7832,x7833),x7833)
% 0.87/1.07 [788]~P20(f54(x7881,x7884,x7883,x7883),f56(x7882,x7883),f75(x7883,x7883))+P20(x7881,f64(x7882,x7883),x7883)+~P20(x7884,f64(x7882,x7883),x7883)
% 0.87/1.07 [818]~P7(x8184,x8183)+~P20(f54(x8182,x8181,x8183,x8183),x8184,f75(x8183,x8183))+P20(f54(x8181,x8182,x8183,x8183),x8184,f75(x8183,x8183))
% 0.87/1.07 [845]~P21(x8451,x8452)+~P20(f54(x8454,x8453,x8452,x8452),x8451,f75(x8452,x8452))+~P20(f54(x8453,x8454,x8452,x8452),x8451,f75(x8452,x8452))
% 0.87/1.07 [602]E(x6021,x6022)+~E(f65(f66(x6023,x6024),x6021),f65(f66(x6023,x6024),x6022))+~E(f65(f67(x6023,x6024),x6021),f65(f67(x6023,x6024),x6022))
% 0.87/1.07 [652]~P20(x6524,x6522,x6523)+~P20(x6524,x6521,x6523)+~E(f3(x6521,x6522,f73(x6523,a1)),f49(f73(x6523,a1)))
% 0.87/1.07 [660]P16(x6601,x6602,x6603)+~P16(x6604,x6602,x6603)+~P19(x6601,x6604,f73(f75(x6602,x6603),a1))
% 0.87/1.07 [665]~P20(x6651,x6654,x6653)+P20(x6651,x6652,x6653)+P20(x6651,f4(x6654,x6652,f73(x6653,a1)),x6653)
% 0.87/1.07 [673]~P20(x6731,x6733,x6734)+~P20(x6731,x6732,x6734)+P20(x6731,f3(x6732,x6733,f73(x6734,a1)),x6734)
% 0.87/1.07 [683]E(x6831,x6832)+P32(f65(x6833,x6831))+~P32(f65(f59(x6832,x6833,x6834),x6831))
% 0.87/1.07 [689]P20(x6891,x6892,x6893)+P20(x6891,x6894,x6893)+~P20(x6891,f48(x6892,x6894,f73(x6893,a1)),x6893)
% 0.87/1.07 [694]~P21(x6943,x6944)+P32(f65(x6941,x6942))+~P32(f65(x6941,f40(x6941,x6943,x6944)))
% 0.87/1.07 [695]~P21(x6953,x6954)+P32(f65(x6951,x6952))+~P32(f65(x6951,f50(x6951,x6953,x6954)))
% 0.87/1.07 [696]~P21(x6963,x6964)+P32(f65(x6961,x6962))+~P32(f65(x6961,f39(x6961,x6963,x6964)))
% 0.87/1.07 [697]~P21(x6973,x6974)+P32(f65(x6971,x6972))+~P32(f65(x6971,f41(x6971,x6973,x6974)))
% 0.87/1.07 [707]~P19(x7071,x7072,f73(x7074,a1))+~P19(x7071,x7073,f73(x7074,a1))+P19(x7071,f3(x7072,x7073,f73(x7074,a1)),f73(x7074,a1))
% 0.87/1.07 [709]~P19(x7091,x7094,f73(x7093,a1))+~P19(x7092,x7094,f73(x7093,a1))+P19(f48(x7091,x7092,f73(x7093,a1)),x7094,f73(x7093,a1))
% 0.87/1.07 [710]~P19(x7101,x7102,f73(x7104,a1))+~P19(x7103,x7101,f73(x7104,a1))+E(f4(x7101,f4(x7102,x7103,f73(x7104,a1)),f73(x7104,a1)),x7103)
% 0.87/1.07 [718]~P20(x7182,f64(x7183,x7184),x7184)+P32(f65(x7181,x7182))+~P32(f65(x7181,f16(x7181,x7183,x7184)))
% 0.87/1.07 [719]~P20(x7192,f64(x7193,x7194),x7194)+P32(f65(x7191,x7192))+~P32(f65(x7191,f35(x7191,x7193,x7194)))
% 0.87/1.07 [774]~P20(x7742,x7741,x7743)+~P19(x7741,f59(x7742,x7744,x7743),f73(x7743,a1))+P19(f4(x7741,f59(x7742,f49(f73(x7743,a1)),x7743),f73(x7743,a1)),x7744,f73(x7743,a1))
% 0.87/1.07 [798]~P20(x7982,x7981,x7984)+P19(x7981,f59(x7982,x7983,x7984),f73(x7984,a1))+~P19(f4(x7981,f59(x7982,f49(f73(x7984,a1)),x7984),f73(x7984,a1)),x7983,f73(x7984,a1))
% 0.87/1.07 [828]E(x8281,x8282)+P20(f54(x8283,x8281,a69,a69),x8284,f75(a69,a69))+~P20(f54(x8283,x8281,a69,a69),f65(f65(a7,x8284),x8282),f75(a69,a69))
% 0.87/1.07 [829]E(x8291,x8292)+P20(f54(x8291,x8293,a69,a69),x8294,f75(a69,a69))+~P20(f54(x8291,x8293,a69,a69),f65(f65(a42,x8294),x8292),f75(a69,a69))
% 0.87/1.07 [832]E(x8321,x8322)+~P20(f54(x8321,x8322,x8323,x8323),f56(x8324,x8323),f75(x8323,x8323))+P20(x8321,f60(f66(x8323,x8323),x8324,f75(x8323,x8323),x8323),x8323)
% 0.87/1.07 [843]~P21(x8434,x8433)+P20(f54(x8432,x8431,x8433,x8433),f56(x8434,x8433),f75(x8433,x8433))+P21(f59(f54(x8431,x8432,x8433,x8433),x8434,f75(x8433,x8433)),x8433)
% 0.87/1.07 [844]~P22(x8444,x8443)+P20(f54(x8442,x8441,x8443,x8443),f56(x8444,x8443),f75(x8443,x8443))+P22(f59(f54(x8441,x8442,x8443,x8443),x8444,f75(x8443,x8443)),x8443)
% 0.87/1.07 [879]E(x8791,x8792)+~P20(f54(x8791,x8792,x8794,x8794),f56(x8793,x8794),f75(x8794,x8794))+P20(f54(x8791,f24(x8793,x8791,x8792,x8794),x8794,x8794),x8793,f75(x8794,x8794))
% 0.87/1.07 [880]E(x8801,x8802)+~P20(f54(x8801,x8802,x8804,x8804),f56(x8803,x8804),f75(x8804,x8804))+P20(f54(f28(x8801,x8802,x8803,x8804),x8802,x8804,x8804),x8803,f75(x8804,x8804))
% 0.87/1.07 [881]E(x8811,x8812)+~P20(f54(x8811,x8812,x8814,x8814),f56(x8813,x8814),f75(x8814,x8814))+P20(f54(x8811,f28(x8811,x8812,x8813,x8814),x8814,x8814),f56(x8813,x8814),f75(x8814,x8814))
% 0.87/1.07 [882]E(x8821,x8822)+~P20(f54(x8821,x8822,x8824,x8824),f56(x8823,x8824),f75(x8824,x8824))+P20(f54(f24(x8823,x8821,x8822,x8824),x8822,x8824,x8824),f56(x8823,x8824),f75(x8824,x8824))
% 0.87/1.07 [915]E(x9151,x9152)+~P20(f54(x9151,x9152,x9153,x9153),f56(x9154,x9153),f75(x9153,x9153))+P20(f54(x9151,x9152,x9153,x9153),f62(x9154,f56(x9154,x9153),x9153,x9153,x9153),f75(x9153,x9153))
% 0.87/1.07 [942]~P20(x9421,f62(x9424,f56(x9424,x9423),x9423,x9423,x9423),f75(x9423,x9423))+P20(x9421,f62(x9422,f56(x9422,x9423),x9423,x9423,x9423),f75(x9423,x9423))+~P19(x9424,x9422,f73(f75(x9423,x9423),a1))
% 0.87/1.07 [945]P20(f54(x9451,x9452,x9453,x9453),x9454,f75(x9453,x9453))+P20(f54(x9451,f30(x9454,x9451,x9452,x9453),x9453,x9453),x9454,f75(x9453,x9453))+~P20(f54(x9451,x9452,x9453,x9453),f62(x9454,f56(x9454,x9453),x9453,x9453,x9453),f75(x9453,x9453))
% 0.87/1.07 [946]P20(f54(x9461,x9462,x9463,x9463),x9464,f75(x9463,x9463))+P20(f54(f34(x9461,x9462,x9464,x9463),x9462,x9463,x9463),x9464,f75(x9463,x9463))+~P20(f54(x9461,x9462,x9463,x9463),f62(x9464,f56(x9464,x9463),x9463,x9463,x9463),f75(x9463,x9463))
% 0.87/1.07 [952]P20(f54(x9521,x9522,x9523,x9523),x9524,f75(x9523,x9523))+P20(f54(x9521,f34(x9521,x9522,x9524,x9523),x9523,x9523),f62(x9524,f56(x9524,x9523),x9523,x9523,x9523),f75(x9523,x9523))+~P20(f54(x9521,x9522,x9523,x9523),f62(x9524,f56(x9524,x9523),x9523,x9523,x9523),f75(x9523,x9523))
% 0.87/1.07 [953]P20(f54(x9531,x9532,x9533,x9533),x9534,f75(x9533,x9533))+P20(f54(f30(x9534,x9531,x9532,x9533),x9532,x9533,x9533),f62(x9534,f56(x9534,x9533),x9533,x9533,x9533),f75(x9533,x9533))+~P20(f54(x9531,x9532,x9533,x9533),f62(x9534,f56(x9534,x9533),x9533,x9533,x9533),f75(x9533,x9533))
% 0.87/1.07 [688]~P32(f65(x6882,x6884))+~P32(f65(x6881,x6884))+P32(f65(f3(x6881,x6882,f73(x6883,a1)),x6884))
% 0.87/1.07 [724]P32(f65(x7241,x7242))+P32(f65(x7243,x7242))+~P32(f65(f48(x7241,x7243,f73(x7244,a1)),x7242))
% 0.87/1.07 [784]~P9(x7844,x7842,x7843)+~P20(x7841,x7844,x7843)+P20(x7841,f58(x7842,f59(x7841,f49(f73(x7843,a1)),x7843),x7843,x7843),x7843)
% 0.87/1.07 [930]~E(f62(x9301,x9302,x9304,x9304,x9304),f49(f73(f75(x9304,x9304),a1)))+~E(f62(x9301,x9303,x9304,x9304,x9304),f49(f73(f75(x9304,x9304),a1)))+E(f62(x9301,f48(x9302,x9303,f73(f75(x9304,x9304),a1)),x9304,x9304,x9304),f49(f73(f75(x9304,x9304),a1)))
% 0.87/1.07 [931]~E(f62(x9311,x9314,x9313,x9313,x9313),f49(f73(f75(x9313,x9313),a1)))+~E(f62(x9312,x9314,x9313,x9313,x9313),f49(f73(f75(x9313,x9313),a1)))+E(f62(f48(x9311,x9312,f73(f75(x9313,x9313),a1)),x9314,x9313,x9313,x9313),f49(f73(f75(x9313,x9313),a1)))
% 0.87/1.07 [593]~P4(x5934)+P19(f65(x5931,x5932),f65(x5933,x5932),x5934)+~P19(x5931,x5933,f73(x5935,x5934))
% 0.87/1.07 [775]P20(x7751,x7752,x7753)+~P14(x7752,x7754,x7753)+~P20(f54(x7755,x7751,x7753,x7753),x7754,f75(x7753,x7753))
% 0.87/1.07 [776]P20(x7761,x7762,x7763)+~P14(x7762,x7764,x7763)+~P20(f54(x7761,x7765,x7763,x7763),x7764,f75(x7763,x7763))
% 0.87/1.07 [777]P20(x7771,x7772,x7773)+~P9(x7772,x7774,x7773)+~P20(f54(x7775,x7771,x7773,x7773),x7774,f75(x7773,x7773))
% 0.87/1.07 [778]P20(x7781,x7782,x7783)+~P9(x7782,x7784,x7783)+~P20(f54(x7781,x7785,x7783,x7783),x7784,f75(x7783,x7783))
% 0.87/1.07 [873]P20(f54(x8731,x8732,x8733,x8733),f56(x8734,x8733),f75(x8733,x8733))+~P20(f54(x8731,x8735,x8733,x8733),f56(x8734,x8733),f75(x8733,x8733))+~P20(f54(x8735,x8732,x8733,x8733),x8734,f75(x8733,x8733))
% 0.87/1.07 [874]P20(f54(x8741,x8742,x8743,x8743),f56(x8744,x8743),f75(x8743,x8743))+~P20(f54(x8745,x8742,x8743,x8743),f56(x8744,x8743),f75(x8743,x8743))+~P20(f54(x8741,x8745,x8743,x8743),x8744,f75(x8743,x8743))
% 0.87/1.07 [876]P20(f54(x8761,x8762,x8763,x8763),f56(x8764,x8763),f75(x8763,x8763))+~P20(f54(x8761,x8765,x8763,x8763),f56(x8764,x8763),f75(x8763,x8763))+~P20(f54(x8765,x8762,x8763,x8763),f56(x8764,x8763),f75(x8763,x8763))
% 0.87/1.07 [891]~P16(x8912,x8914,x8915)+~P16(x8911,x8913,x8914)+P16(f62(x8911,x8912,x8913,x8914,x8915),x8913,x8915)
% 0.87/1.07 [731]~P19(x7311,x7314,f73(x7313,a1))+~P19(x7312,x7315,f73(x7313,a1))+P19(f3(x7311,x7312,f73(x7313,a1)),f3(x7314,x7315,f73(x7313,a1)),f73(x7313,a1))
% 0.87/1.07 [732]~P19(x7321,x7324,f73(x7323,a1))+~P19(x7325,x7322,f73(x7323,a1))+P19(f4(x7321,x7322,f73(x7323,a1)),f4(x7324,x7325,f73(x7323,a1)),f73(x7323,a1))
% 0.87/1.07 [733]~P19(x7331,x7334,f73(x7333,a1))+~P19(x7332,x7335,f73(x7333,a1))+P19(f48(x7331,x7332,f73(x7333,a1)),f48(x7334,x7335,f73(x7333,a1)),f73(x7333,a1))
% 0.87/1.07 [921]~P20(f54(x9211,x9215,x9213,x9213),x9214,f75(x9213,x9213))+~P20(f54(x9215,x9212,x9213,x9213),x9214,f75(x9213,x9213))+P20(f54(x9211,x9212,x9213,x9213),f62(x9214,f56(x9214,x9213),x9213,x9213,x9213),f75(x9213,x9213))
% 0.87/1.07 [923]~P20(f54(x9231,x9235,x9233,x9233),f56(x9234,x9233),f75(x9233,x9233))+~P20(f54(x9235,x9232,x9233,x9233),x9234,f75(x9233,x9233))+P20(f54(x9231,x9232,x9233,x9233),f62(x9234,f56(x9234,x9233),x9233,x9233,x9233),f75(x9233,x9233))
% 0.87/1.07 [948]~P20(f54(x9485,x9482,x9483,x9483),x9484,f75(x9483,x9483))+P20(f54(x9481,x9482,x9483,x9483),f62(x9484,f56(x9484,x9483),x9483,x9483,x9483),f75(x9483,x9483))+~P20(f54(x9481,x9485,x9483,x9483),f62(x9484,f56(x9484,x9483),x9483,x9483,x9483),f75(x9483,x9483))
% 0.87/1.07 [949]~P20(f54(x9491,x9495,x9493,x9493),x9494,f75(x9493,x9493))+P20(f54(x9491,x9492,x9493,x9493),f62(x9494,f56(x9494,x9493),x9493,x9493,x9493),f75(x9493,x9493))+~P20(f54(x9495,x9492,x9493,x9493),f62(x9494,f56(x9494,x9493),x9493,x9493,x9493),f75(x9493,x9493))
% 0.87/1.07 [950]~P20(f54(x9505,x9502,x9503,x9503),f56(x9504,x9503),f75(x9503,x9503))+P20(f54(x9501,x9502,x9503,x9503),f62(x9504,f56(x9504,x9503),x9503,x9503,x9503),f75(x9503,x9503))+~P20(f54(x9501,x9505,x9503,x9503),f62(x9504,f56(x9504,x9503),x9503,x9503,x9503),f75(x9503,x9503))
% 0.87/1.07 [951]~P20(f54(x9511,x9515,x9513,x9513),f56(x9514,x9513),f75(x9513,x9513))+P20(f54(x9511,x9512,x9513,x9513),f62(x9514,f56(x9514,x9513),x9513,x9513,x9513),f75(x9513,x9513))+~P20(f54(x9515,x9512,x9513,x9513),f62(x9514,f56(x9514,x9513),x9513,x9513,x9513),f75(x9513,x9513))
% 0.87/1.07 [958]P20(f54(x9581,x9582,x9583,x9583),f62(x9584,f56(x9584,x9583),x9583,x9583,x9583),f75(x9583,x9583))+~P20(f54(x9581,x9585,x9583,x9583),f62(x9584,f56(x9584,x9583),x9583,x9583,x9583),f75(x9583,x9583))+~P20(f54(x9585,x9582,x9583,x9583),f62(x9584,f56(x9584,x9583),x9583,x9583,x9583),f75(x9583,x9583))
% 0.87/1.07 [737]~P14(x7372,x7375,x7373)+~P14(x7371,x7374,x7373)+P14(f3(x7371,x7372,f73(x7373,a1)),f3(x7374,x7375,f73(f75(x7373,x7373),a1)),x7373)
% 0.87/1.07 [738]~P14(x7382,x7385,x7383)+~P14(x7381,x7384,x7383)+P14(f48(x7381,x7382,f73(x7383,a1)),f48(x7384,x7385,f73(f75(x7383,x7383),a1)),x7383)
% 0.87/1.07 [754]E(x7541,x7542)+E(x7541,x7543)+~E(f59(x7544,f59(x7541,f49(f73(x7545,a1)),x7545),x7545),f59(x7543,f59(x7542,f49(f73(x7545,a1)),x7545),x7545))
% 0.87/1.07 [755]E(x7551,x7552)+E(x7553,x7552)+~E(f59(x7553,f59(x7551,f49(f73(x7554,a1)),x7554),x7554),f59(x7555,f59(x7552,f49(f73(x7554,a1)),x7554),x7554))
% 0.87/1.07 [756]E(x7561,x7562)+E(x7563,x7562)+~E(f59(x7563,f59(x7561,f49(f73(x7564,a1)),x7564),x7564),f59(x7562,f59(x7565,f49(f73(x7564,a1)),x7564),x7564))
% 0.87/1.07 [757]E(x7571,x7572)+E(x7571,x7573)+~E(f59(x7571,f59(x7574,f49(f73(x7575,a1)),x7575),x7575),f59(x7573,f59(x7572,f49(f73(x7575,a1)),x7575),x7575))
% 0.87/1.07 [854]~P9(x8545,x8541,x8543)+~P20(f54(x8542,x8544,x8543,x8543),x8541,f75(x8543,x8543))+E(f58(x8541,f59(x8542,f49(f73(x8543,a1)),x8543),x8543,x8543),f58(x8541,f59(x8544,f49(f73(x8543,a1)),x8543),x8543,x8543))
% 0.87/1.07 [900]~P9(x9005,x9001,x9003)+~P20(f54(x9002,x9004,x9003,x9003),x9001,f75(x9003,x9003))+P19(f58(x9001,f59(x9002,f49(f73(x9003,a1)),x9003),x9003,x9003),f58(x9001,f59(x9004,f49(f73(x9003,a1)),x9003),x9003,x9003),f73(x9003,a1))
% 0.87/1.07 [779]~P20(x7792,x7795,x7796)+P20(f65(x7791,x7792),x7793,x7794)+~P19(f60(x7791,x7795,x7796,x7794),x7793,f73(x7794,a1))
% 0.87/1.07 [796]~P20(x7961,x7965,x7963)+~P20(x7962,f65(x7966,x7961),x7964)+P20(f54(x7961,x7962,x7963,x7964),f53(x7965,x7966,x7963,x7964),f75(x7963,x7964))
% 0.87/1.07 [799]~P10(x7994,x7991,x7995,x7996)+~P20(f54(x7992,x7993,x7995,x7995),x7994,f75(x7995,x7995))+E(f65(x7991,x7992),f65(x7991,x7993))
% 0.87/1.07 [825]~P20(x8256,x8253,x8254)+~P20(f54(x8256,x8251,x8254,x8255),x8252,f75(x8254,x8255))+P20(x8251,f58(x8252,x8253,x8254,x8255),x8255)
% 0.87/1.07 [807]~P19(x8072,x8076,f73(x8073,a1))+P19(f58(x8071,x8072,x8073,x8074),f58(x8075,x8076,x8073,x8074),f73(x8074,a1))+~P19(x8071,x8075,f73(f75(x8073,x8074),a1))
% 0.87/1.07 [943]~P9(x9435,x9434,x9433)+P20(f54(x9431,x9432,x9433,x9433),x9434,f75(x9433,x9433))+~P20(x9436,f3(f58(x9434,f59(x9431,f49(f73(x9433,a1)),x9433),x9433,x9433),f58(x9434,f59(x9432,f49(f73(x9433,a1)),x9433),x9433,x9433),f73(x9433,a1)),x9433)
% 0.87/1.07 [805]E(x8051,x8052)+~P20(x8056,x8053,x8054)+~E(f53(x8051,f5(x8053,f73(x8054,a1),x8055),x8055,x8054),f53(x8052,f5(x8053,f73(x8054,a1),x8055),x8055,x8054))
% 0.87/1.07 [855]~P20(x8556,x8552,x8553)+~P19(x8551,x8555,f73(x8554,a1))+P19(f53(x8551,f5(x8552,f73(x8553,a1),x8554),x8554,x8553),f53(x8555,f5(x8552,f73(x8553,a1),x8554),x8554,x8553),f73(f75(x8554,x8553),a1))
% 0.87/1.07 [864]~P32(f65(x8641,x8645))+~P32(f65(x8646,x8644))+P32(f65(x8641,f65(f67(x8642,x8643),f54(x8644,x8645,x8642,x8643))))
% 0.87/1.07 [865]~P32(f65(x8651,x8654))+~P32(f65(x8656,x8655))+P32(f65(x8651,f65(f66(x8652,x8653),f54(x8654,x8655,x8652,x8653))))
% 0.87/1.07 [899]~P20(x8994,x8995,x8996)+P19(x8991,x8992,f73(x8993,a1))+~P19(f53(x8991,f5(x8995,f73(x8996,a1),x8993),x8993,x8996),f53(x8992,f5(x8995,f73(x8996,a1),x8993),x8993,x8996),f73(f75(x8993,x8996),a1))
% 0.87/1.07 [918]~P20(f54(x9182,x9185,x9186,x9186),x9184,f75(x9186,x9186))+~E(f55(x9181,x9184,x9185,x9186,x9187),f55(x9183,x9184,x9185,x9186,x9187))+E(f65(x9181,x9182),f65(x9183,x9182))
% 0.87/1.07 [927]~P19(x9272,x9277,f73(f75(x9274,x9275),a1))+~P19(x9271,x9276,f73(f75(x9273,x9274),a1))+P19(f62(x9271,x9272,x9273,x9274,x9275),f62(x9276,x9277,x9273,x9274,x9275),f73(f75(x9273,x9275),a1))
% 0.87/1.07 [919]~P20(f54(x9191,x9198,x9193,x9197),x9195,f75(x9193,x9197))+P20(f54(x9191,x9192,x9193,x9194),f62(x9195,x9196,x9193,x9197,x9194),f75(x9193,x9194))+~P20(f54(x9198,x9192,x9197,x9194),x9196,f75(x9197,x9194))
% 0.87/1.07 [936]~P19(x9362,f53(x9368,f5(x9367,f73(x9365,a1),x9364),x9364,x9365),f73(f75(x9364,x9365),a1))+~P19(x9361,f53(x9366,f5(x9368,f73(x9364,a1),x9363),x9363,x9364),f73(f75(x9363,x9364),a1))+P19(f62(x9361,x9362,x9363,x9364,x9365),f53(x9366,f5(x9367,f73(x9365,a1),x9363),x9363,x9365),f73(f75(x9363,x9365),a1))
% 0.87/1.07 [562]~P19(x5622,x5621,x5623)+~P19(x5621,x5622,x5623)+E(x5621,x5622)+~P29(x5623)
% 0.87/1.07 [566]~P17(x5662,x5663)+~P15(x5662,x5663)+~P18(x5661,x5662,x5663)+P12(x5661,x5662,x5663)
% 0.87/1.07 [893]~P21(x8932,x8933)+~P21(x8931,x8933)+~E(f3(f60(f66(x8933,x8933),x8931,f75(x8933,x8933),x8933),f60(f66(x8933,x8933),f57(x8932,x8933,x8933),f75(x8933,x8933),x8933),f73(x8933,a1)),f49(f73(x8933,a1)))+P21(f48(x8931,x8932,f73(f75(x8933,x8933),a1)),x8933)
% 0.87/1.07 [917]~P21(x9172,x9173)+~P21(x9171,x9173)+~P19(f62(x9171,x9172,x9173,x9173,x9173),x9171,f73(f75(x9173,x9173),a1))+P21(f48(x9171,x9172,f73(f75(x9173,x9173),a1)),x9173)
% 0.87/1.07 [588]~P29(x5883)+~P19(x5881,x5884,x5883)+P19(x5881,x5882,x5883)+~P19(x5884,x5882,x5883)
% 0.87/1.07 [589]~P31(x5893)+~P19(x5891,x5894,x5893)+P19(x5891,x5892,x5893)+~P19(x5894,x5892,x5893)
% 0.87/1.07 [615]P20(x6153,x6151,x6154)+E(x6151,x6152)+P20(x6153,x6152,x6154)+~E(f59(x6153,x6151,x6154),f59(x6153,x6152,x6154))
% 0.87/1.07 [655]~P26(x6554)+~P19(x6551,x6553,x6554)+~P19(x6551,x6552,x6554)+P19(x6551,f3(x6552,x6553,x6554),x6554)
% 0.87/1.07 [658]~P24(x6583)+~P19(x6582,x6584,x6583)+~P19(x6581,x6584,x6583)+P19(f48(x6581,x6582,x6583),x6584,x6583)
% 0.87/1.07 [847]E(x8471,x8472)+~P8(x8473,x8474)+~P20(f54(x8472,x8471,x8474,x8474),x8473,f75(x8474,x8474))+~P20(f54(x8471,x8472,x8474,x8474),x8473,f75(x8474,x8474))
% 0.87/1.07 [785]~P20(x7853,f64(x7854,a70),a70)+~P20(f54(x7852,f82(x7851,x7854),a70,a70),x7854,f75(a70,a70))+P32(f65(x7851,x7852))+P32(f65(x7851,x7853))
% 0.87/1.07 [786]~P20(x7863,f64(x7864,a70),a70)+~P20(f54(x7862,f83(x7861,x7864),a70,a70),x7864,f75(a70,a70))+P32(f65(x7861,x7862))+P32(f65(x7861,x7863))
% 0.87/1.07 [791]~P20(x7912,f64(x7914,a70),a70)+P20(x7913,f64(x7914,a70),a70)+~P20(f54(x7913,f82(x7911,x7914),a70,a70),x7914,f75(a70,a70))+P32(f65(x7911,x7912))
% 0.87/1.07 [792]~P20(x7922,f64(x7924,a70),a70)+P20(x7923,f64(x7924,a70),a70)+~P20(f54(x7923,f83(x7921,x7924),a70,a70),x7924,f75(a70,a70))+P32(f65(x7921,x7922))
% 0.87/1.07 [820]E(x8201,x8202)+E(x8203,x8202)+~P20(f54(x8203,x8201,a69,a69),x8204,f75(a69,a69))+P20(f54(x8203,x8201,a69,a69),f65(f65(a7,x8204),x8202),f75(a69,a69))
% 0.87/1.07 [821]E(x8211,x8212)+E(x8213,x8212)+~P20(f54(x8213,x8211,a69,a69),x8214,f75(a69,a69))+P20(f54(x8213,x8211,a69,a69),f65(f65(a42,x8214),x8212),f75(a69,a69))
% 0.87/1.07 [822]E(x8221,x8222)+E(x8223,x8221)+~P20(f54(x8223,x8221,a69,a69),x8224,f75(a69,a69))+P20(f54(x8223,x8221,a69,a69),f65(f65(a42,x8224),x8222),f75(a69,a69))
% 0.87/1.07 [823]E(x8231,x8232)+E(x8231,x8233)+~P20(f54(x8231,x8233,a69,a69),x8234,f75(a69,a69))+P20(f54(x8231,x8233,a69,a69),f65(f65(a7,x8234),x8232),f75(a69,a69))
% 0.87/1.07 [638]~P28(x6383)+~P19(x6385,x6384,x6383)+P19(x6381,x6382,x6383)+~E(f4(x6384,x6385,x6383),f4(x6382,x6381,x6383))
% 0.87/1.07 [639]~P28(x6393)+~P19(x6395,x6394,x6393)+P19(x6391,x6392,x6393)+~E(f4(x6392,x6391,x6393),f4(x6394,x6395,x6393))
% 0.87/1.07 [871]~P17(x8714,x8713)+~P20(f54(x8711,x8715,x8713,x8713),x8714,f75(x8713,x8713))+P20(f54(x8711,x8712,x8713,x8713),x8714,f75(x8713,x8713))+~P20(f54(x8715,x8712,x8713,x8713),x8714,f75(x8713,x8713))
% 0.87/1.07 [800]~P21(x8004,x8005)+~P20(f54(x8002,f40(x8001,x8004,x8005),x8005,x8005),x8004,f75(x8005,x8005))+P32(f65(x8001,x8002))+P32(f65(x8001,x8003))
% 0.87/1.07 [801]~P21(x8014,x8015)+~P20(f54(x8012,f50(x8011,x8014,x8015),x8015,x8015),x8014,f75(x8015,x8015))+P32(f65(x8011,x8012))+P32(f65(x8011,x8013))
% 0.87/1.07 [802]~P21(x8024,x8025)+~P20(f54(x8022,f39(x8021,x8024,x8025),x8025,x8025),x8024,f75(x8025,x8025))+P32(f65(x8021,x8022))+P32(f65(x8021,x8023))
% 0.87/1.07 [803]~P21(x8034,x8035)+~P20(f54(x8032,f41(x8031,x8034,x8035),x8035,x8035),x8034,f75(x8035,x8035))+P32(f65(x8031,x8032))+P32(f65(x8031,x8033))
% 0.87/1.07 [811]~P20(x8113,f64(x8114,x8115),x8115)+~P20(f54(x8112,f16(x8111,x8114,x8115),x8115,x8115),x8114,f75(x8115,x8115))+P32(f65(x8111,x8112))+P32(f65(x8111,x8113))
% 0.87/1.07 [812]~P20(x8123,f64(x8124,x8125),x8125)+~P20(f54(x8122,f35(x8121,x8124,x8125),x8125,x8125),x8124,f75(x8125,x8125))+P32(f65(x8121,x8122))+P32(f65(x8121,x8123))
% 0.87/1.07 [813]~P21(x8131,x8132)+~P20(x8133,x8134,x8132)+~P20(x8135,x8134,x8132)+~P20(f54(x8135,f38(x8134,x8131,x8132),x8132,x8132),x8131,f75(x8132,x8132))
% 0.87/1.07 [814]~P21(x8141,x8142)+~P20(x8143,x8144,x8142)+~P20(x8145,x8144,x8142)+~P20(f54(x8145,f36(x8144,x8141,x8142),x8142,x8142),x8141,f75(x8142,x8142))
% 0.87/1.07 [858]~P20(f54(x8582,x8583,x8585,x8585),f56(x8584,x8585),f75(x8585,x8585))+~P32(f65(x8581,x8583))+P32(f65(x8581,x8582))+P32(f65(x8581,f23(x8581,x8583,x8584,x8585)))
% 0.87/1.07 [859]~P20(f54(x8593,x8592,x8595,x8595),f56(x8594,x8595),f75(x8595,x8595))+~P32(f65(x8591,x8593))+P32(f65(x8591,x8592))+P32(f65(x8591,f27(x8591,x8593,x8594,x8595)))
% 0.87/1.07 [887]~P20(f54(x8873,x8872,x8875,x8875),f56(x8874,x8875),f75(x8875,x8875))+P20(f54(x8873,f27(x8871,x8873,x8874,x8875),x8875,x8875),f56(x8874,x8875),f75(x8875,x8875))+~P32(f65(x8871,x8873))+P32(f65(x8871,x8872))
% 0.87/1.07 [888]~P20(f54(x8882,x8883,x8885,x8885),f56(x8884,x8885),f75(x8885,x8885))+P20(f54(f23(x8881,x8883,x8884,x8885),x8883,x8885,x8885),f56(x8884,x8885),f75(x8885,x8885))+~P32(f65(x8881,x8883))+P32(f65(x8881,x8882))
% 0.87/1.07 [889]~P20(f54(x8892,x8893,x8895,x8895),f56(x8894,x8895),f75(x8895,x8895))+P32(f65(x8891,x8892))+~P32(f65(x8891,x8893))+~P32(f65(x8891,f26(x8891,x8893,x8894,x8895)))
% 0.87/1.07 [890]~P20(f54(x8903,x8902,x8905,x8905),f56(x8904,x8905),f75(x8905,x8905))+P32(f65(x8901,x8902))+~P32(f65(x8901,x8903))+~P32(f65(x8901,f31(x8901,x8903,x8904,x8905)))
% 0.87/1.07 [909]~P20(f54(x9092,x9093,x9095,x9095),f56(x9094,x9095),f75(x9095,x9095))+P20(f54(f26(x9091,x9093,x9094,x9095),f23(x9091,x9093,x9094,x9095),x9095,x9095),x9094,f75(x9095,x9095))+~P32(f65(x9091,x9093))+P32(f65(x9091,x9092))
% 0.87/1.07 [910]~P20(f54(x9103,x9102,x9105,x9105),f56(x9104,x9105),f75(x9105,x9105))+P20(f54(f27(x9101,x9103,x9104,x9105),f31(x9101,x9103,x9104,x9105),x9105,x9105),x9104,f75(x9105,x9105))+~P32(f65(x9101,x9103))+P32(f65(x9101,x9102))
% 0.87/1.07 [875]E(x8751,x8752)+P20(x8751,x8753,x8754)+~P20(f54(x8751,x8752,x8754,x8754),f56(x8755,x8754),f75(x8754,x8754))+~P19(x8755,f53(x8753,f5(x8753,f73(x8754,a1),x8754),x8754,x8754),f73(f75(x8754,x8754),a1))
% 0.87/1.07 [863]~P9(x8635,x8634,x8633)+~P20(x8632,x8635,x8633)+P20(f54(x8631,x8632,x8633,x8633),x8634,f75(x8633,x8633))+~E(f58(x8634,f59(x8631,f49(f73(x8633,a1)),x8633),x8633,x8633),f58(x8634,f59(x8632,f49(f73(x8633,a1)),x8633),x8633,x8633))
% 0.87/1.07 [911]~P9(x9115,x9114,x9113)+~P20(x9112,x9115,x9113)+P20(f54(x9111,x9112,x9113,x9113),x9114,f75(x9113,x9113))+~P19(f58(x9114,f59(x9112,f49(f73(x9113,a1)),x9113),x9113,x9113),f58(x9114,f59(x9111,f49(f73(x9113,a1)),x9113),x9113,x9113),f73(x9113,a1))
% 0.87/1.07 [852]E(x8521,x8522)+~P16(x8523,x8524,x8525)+~P20(f54(x8526,x8521,x8524,x8525),x8523,f75(x8524,x8525))+~P20(f54(x8526,x8522,x8524,x8525),x8523,f75(x8524,x8525))
% 0.87/1.07 [954]~P11(x9548,x9541,x9542,x9547,x9544,x9545)+~P20(x9543,x9546,x9547)+~P9(x9546,x9548,x9547)+P10(x9541,f65(x9542,x9543),x9544,x9545)
% 0.87/1.07 [955]~P11(x9556,x9557,x9551,x9558,x9559,x95510)+~P20(f54(x9553,x9555,x9559,x9559),x9557,f75(x9559,x9559))+~P20(f54(x9552,x9554,x9558,x9558),x9556,f75(x9558,x9558))+E(f65(f65(x9551,x9552),x9553),f65(f65(x9551,x9554),x9555))
% 0.87/1.07 [903]~P16(x9034,x9033,x9033)+P20(f54(x9031,x9032,x9033,x9033),f56(x9034,x9033),f75(x9033,x9033))+P20(f54(x9032,x9031,x9033,x9033),f56(x9034,x9033),f75(x9033,x9033))+~P20(f54(x9035,x9032,x9033,x9033),f56(x9034,x9033),f75(x9033,x9033))+~P20(f54(x9035,x9031,x9033,x9033),f56(x9034,x9033),f75(x9033,x9033))
% 0.87/1.07 [809]~P20(x8091,x8095,x8093)+~P18(x8095,x8094,x8093)+E(x8091,x8092)+~P20(x8092,x8095,x8093)+P20(f54(x8091,x8092,x8093,x8093),x8094,f75(x8093,x8093))+P20(f54(x8092,x8091,x8093,x8093),x8094,f75(x8093,x8093))
% 0.87/1.07 %EqnAxiom
% 0.87/1.07 [1]E(x11,x11)
% 0.87/1.07 [2]E(x22,x21)+~E(x21,x22)
% 0.87/1.07 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.87/1.07 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.87/1.07 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.87/1.07 [6]~E(x61,x62)+E(f56(x61,x63),f56(x62,x63))
% 0.87/1.07 [7]~E(x71,x72)+E(f56(x73,x71),f56(x73,x72))
% 0.87/1.07 [8]~E(x81,x82)+E(f75(x81,x83),f75(x82,x83))
% 0.87/1.07 [9]~E(x91,x92)+E(f75(x93,x91),f75(x93,x92))
% 0.87/1.07 [10]~E(x101,x102)+E(f65(x101,x103),f65(x102,x103))
% 0.87/1.07 [11]~E(x111,x112)+E(f65(x113,x111),f65(x113,x112))
% 0.87/1.07 [12]~E(x121,x122)+E(f73(x121,x123),f73(x122,x123))
% 0.87/1.07 [13]~E(x131,x132)+E(f73(x133,x131),f73(x133,x132))
% 0.87/1.07 [14]~E(x141,x142)+E(f59(x141,x143,x144),f59(x142,x143,x144))
% 0.87/1.07 [15]~E(x151,x152)+E(f59(x153,x151,x154),f59(x153,x152,x154))
% 0.87/1.07 [16]~E(x161,x162)+E(f59(x163,x164,x161),f59(x163,x164,x162))
% 0.87/1.07 [17]~E(x171,x172)+E(f62(x171,x173,x174,x175,x176),f62(x172,x173,x174,x175,x176))
% 0.87/1.07 [18]~E(x181,x182)+E(f62(x183,x181,x184,x185,x186),f62(x183,x182,x184,x185,x186))
% 0.87/1.07 [19]~E(x191,x192)+E(f62(x193,x194,x191,x195,x196),f62(x193,x194,x192,x195,x196))
% 0.87/1.07 [20]~E(x201,x202)+E(f62(x203,x204,x205,x201,x206),f62(x203,x204,x205,x202,x206))
% 0.87/1.07 [21]~E(x211,x212)+E(f62(x213,x214,x215,x216,x211),f62(x213,x214,x215,x216,x212))
% 0.87/1.07 [22]~E(x221,x222)+E(f49(x221),f49(x222))
% 0.87/1.07 [23]~E(x231,x232)+E(f6(x231,x233,x234,x235,x236),f6(x232,x233,x234,x235,x236))
% 0.87/1.07 [24]~E(x241,x242)+E(f6(x243,x241,x244,x245,x246),f6(x243,x242,x244,x245,x246))
% 0.87/1.07 [25]~E(x251,x252)+E(f6(x253,x254,x251,x255,x256),f6(x253,x254,x252,x255,x256))
% 0.87/1.07 [26]~E(x261,x262)+E(f6(x263,x264,x265,x261,x266),f6(x263,x264,x265,x262,x266))
% 0.87/1.07 [27]~E(x271,x272)+E(f6(x273,x274,x275,x276,x271),f6(x273,x274,x275,x276,x272))
% 0.87/1.07 [28]~E(x281,x282)+E(f54(x281,x283,x284,x285),f54(x282,x283,x284,x285))
% 0.87/1.07 [29]~E(x291,x292)+E(f54(x293,x291,x294,x295),f54(x293,x292,x294,x295))
% 0.87/1.07 [30]~E(x301,x302)+E(f54(x303,x304,x301,x305),f54(x303,x304,x302,x305))
% 0.87/1.07 [31]~E(x311,x312)+E(f54(x313,x314,x315,x311),f54(x313,x314,x315,x312))
% 0.87/1.07 [32]~E(x321,x322)+E(f3(x321,x323,x324),f3(x322,x323,x324))
% 0.87/1.07 [33]~E(x331,x332)+E(f3(x333,x331,x334),f3(x333,x332,x334))
% 0.87/1.07 [34]~E(x341,x342)+E(f3(x343,x344,x341),f3(x343,x344,x342))
% 0.87/1.07 [35]~E(x351,x352)+E(f48(x351,x353,x354),f48(x352,x353,x354))
% 0.87/1.07 [36]~E(x361,x362)+E(f48(x363,x361,x364),f48(x363,x362,x364))
% 0.87/1.07 [37]~E(x371,x372)+E(f48(x373,x374,x371),f48(x373,x374,x372))
% 0.87/1.07 [38]~E(x381,x382)+E(f53(x381,x383,x384,x385),f53(x382,x383,x384,x385))
% 0.87/1.07 [39]~E(x391,x392)+E(f53(x393,x391,x394,x395),f53(x393,x392,x394,x395))
% 0.87/1.07 [40]~E(x401,x402)+E(f53(x403,x404,x401,x405),f53(x403,x404,x402,x405))
% 0.87/1.07 [41]~E(x411,x412)+E(f53(x413,x414,x415,x411),f53(x413,x414,x415,x412))
% 0.87/1.07 [42]~E(x421,x422)+E(f45(x421,x423,x424,x425,x426),f45(x422,x423,x424,x425,x426))
% 0.87/1.07 [43]~E(x431,x432)+E(f45(x433,x431,x434,x435,x436),f45(x433,x432,x434,x435,x436))
% 0.87/1.07 [44]~E(x441,x442)+E(f45(x443,x444,x441,x445,x446),f45(x443,x444,x442,x445,x446))
% 0.87/1.07 [45]~E(x451,x452)+E(f45(x453,x454,x455,x451,x456),f45(x453,x454,x455,x452,x456))
% 0.87/1.07 [46]~E(x461,x462)+E(f45(x463,x464,x465,x466,x461),f45(x463,x464,x465,x466,x462))
% 0.87/1.07 [47]~E(x471,x472)+E(f58(x471,x473,x474,x475),f58(x472,x473,x474,x475))
% 0.87/1.07 [48]~E(x481,x482)+E(f58(x483,x481,x484,x485),f58(x483,x482,x484,x485))
% 0.87/1.07 [49]~E(x491,x492)+E(f58(x493,x494,x491,x495),f58(x493,x494,x492,x495))
% 0.87/1.07 [50]~E(x501,x502)+E(f58(x503,x504,x505,x501),f58(x503,x504,x505,x502))
% 0.87/1.07 [51]~E(x511,x512)+E(f4(x511,x513,x514),f4(x512,x513,x514))
% 0.87/1.07 [52]~E(x521,x522)+E(f4(x523,x521,x524),f4(x523,x522,x524))
% 0.87/1.07 [53]~E(x531,x532)+E(f4(x533,x534,x531),f4(x533,x534,x532))
% 0.87/1.07 [54]~E(x541,x542)+E(f57(x541,x543,x544),f57(x542,x543,x544))
% 0.87/1.07 [55]~E(x551,x552)+E(f57(x553,x551,x554),f57(x553,x552,x554))
% 0.87/1.07 [56]~E(x561,x562)+E(f57(x563,x564,x561),f57(x563,x564,x562))
% 0.87/1.07 [57]~E(x571,x572)+E(f15(x571,x573,x574,x575),f15(x572,x573,x574,x575))
% 0.87/1.07 [58]~E(x581,x582)+E(f15(x583,x581,x584,x585),f15(x583,x582,x584,x585))
% 0.87/1.07 [59]~E(x591,x592)+E(f15(x593,x594,x591,x595),f15(x593,x594,x592,x595))
% 0.87/1.07 [60]~E(x601,x602)+E(f15(x603,x604,x605,x601),f15(x603,x604,x605,x602))
% 0.87/1.07 [61]~E(x611,x612)+E(f43(x611,x613,x614,x615,x616),f43(x612,x613,x614,x615,x616))
% 0.87/1.07 [62]~E(x621,x622)+E(f43(x623,x621,x624,x625,x626),f43(x623,x622,x624,x625,x626))
% 0.87/1.07 [63]~E(x631,x632)+E(f43(x633,x634,x631,x635,x636),f43(x633,x634,x632,x635,x636))
% 0.87/1.07 [64]~E(x641,x642)+E(f43(x643,x644,x645,x641,x646),f43(x643,x644,x645,x642,x646))
% 0.87/1.07 [65]~E(x651,x652)+E(f43(x653,x654,x655,x656,x651),f43(x653,x654,x655,x656,x652))
% 0.87/1.07 [66]~E(x661,x662)+E(f5(x661,x663,x664),f5(x662,x663,x664))
% 0.87/1.07 [67]~E(x671,x672)+E(f5(x673,x671,x674),f5(x673,x672,x674))
% 0.87/1.07 [68]~E(x681,x682)+E(f5(x683,x684,x681),f5(x683,x684,x682))
% 0.87/1.07 [69]~E(x691,x692)+E(f30(x691,x693,x694,x695),f30(x692,x693,x694,x695))
% 0.87/1.07 [70]~E(x701,x702)+E(f30(x703,x701,x704,x705),f30(x703,x702,x704,x705))
% 0.87/1.07 [71]~E(x711,x712)+E(f30(x713,x714,x711,x715),f30(x713,x714,x712,x715))
% 0.87/1.07 [72]~E(x721,x722)+E(f30(x723,x724,x725,x721),f30(x723,x724,x725,x722))
% 0.87/1.07 [73]~E(x731,x732)+E(f60(x731,x733,x734,x735),f60(x732,x733,x734,x735))
% 0.87/1.07 [74]~E(x741,x742)+E(f60(x743,x741,x744,x745),f60(x743,x742,x744,x745))
% 0.87/1.07 [75]~E(x751,x752)+E(f60(x753,x754,x751,x755),f60(x753,x754,x752,x755))
% 0.87/1.07 [76]~E(x761,x762)+E(f60(x763,x764,x765,x761),f60(x763,x764,x765,x762))
% 0.87/1.07 [77]~E(x771,x772)+E(f63(x771),f63(x772))
% 0.87/1.07 [78]~E(x781,x782)+E(f23(x781,x783,x784,x785),f23(x782,x783,x784,x785))
% 0.87/1.07 [79]~E(x791,x792)+E(f23(x793,x791,x794,x795),f23(x793,x792,x794,x795))
% 0.87/1.07 [80]~E(x801,x802)+E(f23(x803,x804,x801,x805),f23(x803,x804,x802,x805))
% 0.87/1.07 [81]~E(x811,x812)+E(f23(x813,x814,x815,x811),f23(x813,x814,x815,x812))
% 0.87/1.07 [82]~E(x821,x822)+E(f66(x821,x823),f66(x822,x823))
% 0.87/1.07 [83]~E(x831,x832)+E(f66(x833,x831),f66(x833,x832))
% 0.87/1.07 [84]~E(x841,x842)+E(f50(x841,x843,x844),f50(x842,x843,x844))
% 0.87/1.07 [85]~E(x851,x852)+E(f50(x853,x851,x854),f50(x853,x852,x854))
% 0.87/1.07 [86]~E(x861,x862)+E(f50(x863,x864,x861),f50(x863,x864,x862))
% 0.87/1.07 [87]~E(x871,x872)+E(f33(x871,x873,x874,x875),f33(x872,x873,x874,x875))
% 0.87/1.07 [88]~E(x881,x882)+E(f33(x883,x881,x884,x885),f33(x883,x882,x884,x885))
% 0.87/1.07 [89]~E(x891,x892)+E(f33(x893,x894,x891,x895),f33(x893,x894,x892,x895))
% 0.87/1.07 [90]~E(x901,x902)+E(f33(x903,x904,x905,x901),f33(x903,x904,x905,x902))
% 0.87/1.07 [91]~E(x911,x912)+E(f34(x911,x913,x914,x915),f34(x912,x913,x914,x915))
% 0.87/1.07 [92]~E(x921,x922)+E(f34(x923,x921,x924,x925),f34(x923,x922,x924,x925))
% 0.87/1.07 [93]~E(x931,x932)+E(f34(x933,x934,x931,x935),f34(x933,x934,x932,x935))
% 0.87/1.07 [94]~E(x941,x942)+E(f34(x943,x944,x945,x941),f34(x943,x944,x945,x942))
% 0.87/1.07 [95]~E(x951,x952)+E(f61(x951,x953,x954,x955),f61(x952,x953,x954,x955))
% 0.87/1.07 [96]~E(x961,x962)+E(f61(x963,x961,x964,x965),f61(x963,x962,x964,x965))
% 0.87/1.07 [97]~E(x971,x972)+E(f61(x973,x974,x971,x975),f61(x973,x974,x972,x975))
% 0.87/1.07 [98]~E(x981,x982)+E(f61(x983,x984,x985,x981),f61(x983,x984,x985,x982))
% 0.87/1.07 [99]~E(x991,x992)+E(f41(x991,x993,x994),f41(x992,x993,x994))
% 0.87/1.07 [100]~E(x1001,x1002)+E(f41(x1003,x1001,x1004),f41(x1003,x1002,x1004))
% 0.87/1.07 [101]~E(x1011,x1012)+E(f41(x1013,x1014,x1011),f41(x1013,x1014,x1012))
% 0.87/1.07 [102]~E(x1021,x1022)+E(f16(x1021,x1023,x1024),f16(x1022,x1023,x1024))
% 0.87/1.07 [103]~E(x1031,x1032)+E(f16(x1033,x1031,x1034),f16(x1033,x1032,x1034))
% 0.87/1.07 [104]~E(x1041,x1042)+E(f16(x1043,x1044,x1041),f16(x1043,x1044,x1042))
% 0.87/1.07 [105]~E(x1051,x1052)+E(f64(x1051,x1053),f64(x1052,x1053))
% 0.87/1.07 [106]~E(x1061,x1062)+E(f64(x1063,x1061),f64(x1063,x1062))
% 0.87/1.07 [107]~E(x1071,x1072)+E(f67(x1071,x1073),f67(x1072,x1073))
% 0.87/1.07 [108]~E(x1081,x1082)+E(f67(x1083,x1081),f67(x1083,x1082))
% 0.87/1.07 [109]~E(x1091,x1092)+E(f44(x1091),f44(x1092))
% 0.87/1.07 [110]~E(x1101,x1102)+E(f55(x1101,x1103,x1104,x1105,x1106),f55(x1102,x1103,x1104,x1105,x1106))
% 0.87/1.07 [111]~E(x1111,x1112)+E(f55(x1113,x1111,x1114,x1115,x1116),f55(x1113,x1112,x1114,x1115,x1116))
% 0.87/1.07 [112]~E(x1121,x1122)+E(f55(x1123,x1124,x1121,x1125,x1126),f55(x1123,x1124,x1122,x1125,x1126))
% 0.87/1.07 [113]~E(x1131,x1132)+E(f55(x1133,x1134,x1135,x1131,x1136),f55(x1133,x1134,x1135,x1132,x1136))
% 0.87/1.07 [114]~E(x1141,x1142)+E(f55(x1143,x1144,x1145,x1146,x1141),f55(x1143,x1144,x1145,x1146,x1142))
% 0.87/1.07 [115]~E(x1151,x1152)+E(f12(x1151,x1153),f12(x1152,x1153))
% 0.87/1.07 [116]~E(x1161,x1162)+E(f12(x1163,x1161),f12(x1163,x1162))
% 0.87/1.07 [117]~E(x1171,x1172)+E(f47(x1171),f47(x1172))
% 0.87/1.07 [118]~E(x1181,x1182)+E(f36(x1181,x1183,x1184),f36(x1182,x1183,x1184))
% 0.87/1.07 [119]~E(x1191,x1192)+E(f36(x1193,x1191,x1194),f36(x1193,x1192,x1194))
% 0.87/1.07 [120]~E(x1201,x1202)+E(f36(x1203,x1204,x1201),f36(x1203,x1204,x1202))
% 0.87/1.07 [121]~E(x1211,x1212)+E(f27(x1211,x1213,x1214,x1215),f27(x1212,x1213,x1214,x1215))
% 0.87/1.07 [122]~E(x1221,x1222)+E(f27(x1223,x1221,x1224,x1225),f27(x1223,x1222,x1224,x1225))
% 0.87/1.07 [123]~E(x1231,x1232)+E(f27(x1233,x1234,x1231,x1235),f27(x1233,x1234,x1232,x1235))
% 0.87/1.07 [124]~E(x1241,x1242)+E(f27(x1243,x1244,x1245,x1241),f27(x1243,x1244,x1245,x1242))
% 0.87/1.07 [125]~E(x1251,x1252)+E(f68(x1251,x1253,x1254,x1255),f68(x1252,x1253,x1254,x1255))
% 0.87/1.07 [126]~E(x1261,x1262)+E(f68(x1263,x1261,x1264,x1265),f68(x1263,x1262,x1264,x1265))
% 0.87/1.07 [127]~E(x1271,x1272)+E(f68(x1273,x1274,x1271,x1275),f68(x1273,x1274,x1272,x1275))
% 0.87/1.07 [128]~E(x1281,x1282)+E(f68(x1283,x1284,x1285,x1281),f68(x1283,x1284,x1285,x1282))
% 0.87/1.07 [129]~E(x1291,x1292)+E(f86(x1291,x1293,x1294),f86(x1292,x1293,x1294))
% 0.87/1.07 [130]~E(x1301,x1302)+E(f86(x1303,x1301,x1304),f86(x1303,x1302,x1304))
% 0.87/1.07 [131]~E(x1311,x1312)+E(f86(x1313,x1314,x1311),f86(x1313,x1314,x1312))
% 0.87/1.07 [132]~E(x1321,x1322)+E(f51(x1321,x1323,x1324,x1325,x1326,x1327),f51(x1322,x1323,x1324,x1325,x1326,x1327))
% 0.87/1.07 [133]~E(x1331,x1332)+E(f51(x1333,x1331,x1334,x1335,x1336,x1337),f51(x1333,x1332,x1334,x1335,x1336,x1337))
% 0.87/1.07 [134]~E(x1341,x1342)+E(f51(x1343,x1344,x1341,x1345,x1346,x1347),f51(x1343,x1344,x1342,x1345,x1346,x1347))
% 0.87/1.07 [135]~E(x1351,x1352)+E(f51(x1353,x1354,x1355,x1351,x1356,x1357),f51(x1353,x1354,x1355,x1352,x1356,x1357))
% 0.87/1.07 [136]~E(x1361,x1362)+E(f51(x1363,x1364,x1365,x1366,x1361,x1367),f51(x1363,x1364,x1365,x1366,x1362,x1367))
% 0.87/1.07 [137]~E(x1371,x1372)+E(f51(x1373,x1374,x1375,x1376,x1377,x1371),f51(x1373,x1374,x1375,x1376,x1377,x1372))
% 0.87/1.07 [138]~E(x1381,x1382)+E(f20(x1381,x1383,x1384,x1385,x1386),f20(x1382,x1383,x1384,x1385,x1386))
% 0.87/1.07 [139]~E(x1391,x1392)+E(f20(x1393,x1391,x1394,x1395,x1396),f20(x1393,x1392,x1394,x1395,x1396))
% 0.87/1.07 [140]~E(x1401,x1402)+E(f20(x1403,x1404,x1401,x1405,x1406),f20(x1403,x1404,x1402,x1405,x1406))
% 0.87/1.07 [141]~E(x1411,x1412)+E(f20(x1413,x1414,x1415,x1411,x1416),f20(x1413,x1414,x1415,x1412,x1416))
% 0.87/1.07 [142]~E(x1421,x1422)+E(f20(x1423,x1424,x1425,x1426,x1421),f20(x1423,x1424,x1425,x1426,x1422))
% 0.87/1.07 [143]~E(x1431,x1432)+E(f83(x1431,x1433),f83(x1432,x1433))
% 0.87/1.07 [144]~E(x1441,x1442)+E(f83(x1443,x1441),f83(x1443,x1442))
% 0.87/1.07 [145]~E(x1451,x1452)+E(f85(x1451,x1453,x1454),f85(x1452,x1453,x1454))
% 0.87/1.07 [146]~E(x1461,x1462)+E(f85(x1463,x1461,x1464),f85(x1463,x1462,x1464))
% 0.87/1.07 [147]~E(x1471,x1472)+E(f85(x1473,x1474,x1471),f85(x1473,x1474,x1472))
% 0.87/1.07 [148]~E(x1481,x1482)+E(f40(x1481,x1483,x1484),f40(x1482,x1483,x1484))
% 0.87/1.07 [149]~E(x1491,x1492)+E(f40(x1493,x1491,x1494),f40(x1493,x1492,x1494))
% 0.87/1.07 [150]~E(x1501,x1502)+E(f40(x1503,x1504,x1501),f40(x1503,x1504,x1502))
% 0.87/1.07 [151]~E(x1511,x1512)+E(f29(x1511,x1513),f29(x1512,x1513))
% 0.87/1.07 [152]~E(x1521,x1522)+E(f29(x1523,x1521),f29(x1523,x1522))
% 0.87/1.07 [153]~E(x1531,x1532)+E(f46(x1531,x1533,x1534),f46(x1532,x1533,x1534))
% 0.87/1.07 [154]~E(x1541,x1542)+E(f46(x1543,x1541,x1544),f46(x1543,x1542,x1544))
% 0.87/1.07 [155]~E(x1551,x1552)+E(f46(x1553,x1554,x1551),f46(x1553,x1554,x1552))
% 0.87/1.07 [156]~E(x1561,x1562)+E(f26(x1561,x1563,x1564,x1565),f26(x1562,x1563,x1564,x1565))
% 0.87/1.07 [157]~E(x1571,x1572)+E(f26(x1573,x1571,x1574,x1575),f26(x1573,x1572,x1574,x1575))
% 0.87/1.07 [158]~E(x1581,x1582)+E(f26(x1583,x1584,x1581,x1585),f26(x1583,x1584,x1582,x1585))
% 0.87/1.07 [159]~E(x1591,x1592)+E(f26(x1593,x1594,x1595,x1591),f26(x1593,x1594,x1595,x1592))
% 0.87/1.07 [160]~E(x1601,x1602)+E(f52(x1601,x1603),f52(x1602,x1603))
% 0.87/1.07 [161]~E(x1611,x1612)+E(f52(x1613,x1611),f52(x1613,x1612))
% 0.87/1.07 [162]~E(x1621,x1622)+E(f39(x1621,x1623,x1624),f39(x1622,x1623,x1624))
% 0.87/1.07 [163]~E(x1631,x1632)+E(f39(x1633,x1631,x1634),f39(x1633,x1632,x1634))
% 0.87/1.07 [164]~E(x1641,x1642)+E(f39(x1643,x1644,x1641),f39(x1643,x1644,x1642))
% 0.87/1.07 [165]~E(x1651,x1652)+E(f37(x1651,x1653,x1654),f37(x1652,x1653,x1654))
% 0.87/1.07 [166]~E(x1661,x1662)+E(f37(x1663,x1661,x1664),f37(x1663,x1662,x1664))
% 0.87/1.07 [167]~E(x1671,x1672)+E(f37(x1673,x1674,x1671),f37(x1673,x1674,x1672))
% 0.87/1.07 [168]~E(x1681,x1682)+E(f24(x1681,x1683,x1684,x1685),f24(x1682,x1683,x1684,x1685))
% 0.87/1.07 [169]~E(x1691,x1692)+E(f24(x1693,x1691,x1694,x1695),f24(x1693,x1692,x1694,x1695))
% 0.87/1.07 [170]~E(x1701,x1702)+E(f24(x1703,x1704,x1701,x1705),f24(x1703,x1704,x1702,x1705))
% 0.87/1.07 [171]~E(x1711,x1712)+E(f24(x1713,x1714,x1715,x1711),f24(x1713,x1714,x1715,x1712))
% 0.87/1.07 [172]~E(x1721,x1722)+E(f11(x1721,x1723,x1724),f11(x1722,x1723,x1724))
% 0.87/1.07 [173]~E(x1731,x1732)+E(f11(x1733,x1731,x1734),f11(x1733,x1732,x1734))
% 0.87/1.07 [174]~E(x1741,x1742)+E(f11(x1743,x1744,x1741),f11(x1743,x1744,x1742))
% 0.87/1.07 [175]~E(x1751,x1752)+E(f14(x1751,x1753,x1754,x1755,x1756),f14(x1752,x1753,x1754,x1755,x1756))
% 0.87/1.07 [176]~E(x1761,x1762)+E(f14(x1763,x1761,x1764,x1765,x1766),f14(x1763,x1762,x1764,x1765,x1766))
% 0.87/1.07 [177]~E(x1771,x1772)+E(f14(x1773,x1774,x1771,x1775,x1776),f14(x1773,x1774,x1772,x1775,x1776))
% 0.87/1.07 [178]~E(x1781,x1782)+E(f14(x1783,x1784,x1785,x1781,x1786),f14(x1783,x1784,x1785,x1782,x1786))
% 0.87/1.07 [179]~E(x1791,x1792)+E(f14(x1793,x1794,x1795,x1796,x1791),f14(x1793,x1794,x1795,x1796,x1792))
% 0.87/1.07 [180]~E(x1801,x1802)+E(f35(x1801,x1803,x1804),f35(x1802,x1803,x1804))
% 0.87/1.07 [181]~E(x1811,x1812)+E(f35(x1813,x1811,x1814),f35(x1813,x1812,x1814))
% 0.87/1.07 [182]~E(x1821,x1822)+E(f35(x1823,x1824,x1821),f35(x1823,x1824,x1822))
% 0.87/1.07 [183]~E(x1831,x1832)+E(f84(x1831,x1833),f84(x1832,x1833))
% 0.87/1.07 [184]~E(x1841,x1842)+E(f84(x1843,x1841),f84(x1843,x1842))
% 0.87/1.07 [185]~E(x1851,x1852)+E(f13(x1851,x1853,x1854,x1855),f13(x1852,x1853,x1854,x1855))
% 0.87/1.07 [186]~E(x1861,x1862)+E(f13(x1863,x1861,x1864,x1865),f13(x1863,x1862,x1864,x1865))
% 0.87/1.07 [187]~E(x1871,x1872)+E(f13(x1873,x1874,x1871,x1875),f13(x1873,x1874,x1872,x1875))
% 0.87/1.07 [188]~E(x1881,x1882)+E(f13(x1883,x1884,x1885,x1881),f13(x1883,x1884,x1885,x1882))
% 0.87/1.07 [189]~E(x1891,x1892)+E(f21(x1891,x1893,x1894,x1895,x1896),f21(x1892,x1893,x1894,x1895,x1896))
% 0.87/1.07 [190]~E(x1901,x1902)+E(f21(x1903,x1901,x1904,x1905,x1906),f21(x1903,x1902,x1904,x1905,x1906))
% 0.87/1.07 [191]~E(x1911,x1912)+E(f21(x1913,x1914,x1911,x1915,x1916),f21(x1913,x1914,x1912,x1915,x1916))
% 0.87/1.07 [192]~E(x1921,x1922)+E(f21(x1923,x1924,x1925,x1921,x1926),f21(x1923,x1924,x1925,x1922,x1926))
% 0.87/1.07 [193]~E(x1931,x1932)+E(f21(x1933,x1934,x1935,x1936,x1931),f21(x1933,x1934,x1935,x1936,x1932))
% 0.87/1.07 [194]~E(x1941,x1942)+E(f82(x1941,x1943),f82(x1942,x1943))
% 0.87/1.07 [195]~E(x1951,x1952)+E(f82(x1953,x1951),f82(x1953,x1952))
% 0.87/1.07 [196]~E(x1961,x1962)+E(f25(x1961,x1963,x1964,x1965,x1966,x1967,x1968),f25(x1962,x1963,x1964,x1965,x1966,x1967,x1968))
% 0.87/1.07 [197]~E(x1971,x1972)+E(f25(x1973,x1971,x1974,x1975,x1976,x1977,x1978),f25(x1973,x1972,x1974,x1975,x1976,x1977,x1978))
% 0.87/1.07 [198]~E(x1981,x1982)+E(f25(x1983,x1984,x1981,x1985,x1986,x1987,x1988),f25(x1983,x1984,x1982,x1985,x1986,x1987,x1988))
% 0.87/1.07 [199]~E(x1991,x1992)+E(f25(x1993,x1994,x1995,x1991,x1996,x1997,x1998),f25(x1993,x1994,x1995,x1992,x1996,x1997,x1998))
% 0.87/1.07 [200]~E(x2001,x2002)+E(f25(x2003,x2004,x2005,x2006,x2001,x2007,x2008),f25(x2003,x2004,x2005,x2006,x2002,x2007,x2008))
% 0.87/1.07 [201]~E(x2011,x2012)+E(f25(x2013,x2014,x2015,x2016,x2017,x2011,x2018),f25(x2013,x2014,x2015,x2016,x2017,x2012,x2018))
% 0.87/1.07 [202]~E(x2021,x2022)+E(f25(x2023,x2024,x2025,x2026,x2027,x2028,x2021),f25(x2023,x2024,x2025,x2026,x2027,x2028,x2022))
% 0.87/1.07 [203]~E(x2031,x2032)+E(f38(x2031,x2033,x2034),f38(x2032,x2033,x2034))
% 0.87/1.07 [204]~E(x2041,x2042)+E(f38(x2043,x2041,x2044),f38(x2043,x2042,x2044))
% 0.87/1.07 [205]~E(x2051,x2052)+E(f38(x2053,x2054,x2051),f38(x2053,x2054,x2052))
% 0.87/1.07 [206]~E(x2061,x2062)+E(f17(x2061,x2063,x2064),f17(x2062,x2063,x2064))
% 0.87/1.07 [207]~E(x2071,x2072)+E(f17(x2073,x2071,x2074),f17(x2073,x2072,x2074))
% 0.87/1.07 [208]~E(x2081,x2082)+E(f17(x2083,x2084,x2081),f17(x2083,x2084,x2082))
% 0.87/1.07 [209]~E(x2091,x2092)+E(f18(x2091,x2093),f18(x2092,x2093))
% 0.87/1.07 [210]~E(x2101,x2102)+E(f18(x2103,x2101),f18(x2103,x2102))
% 0.87/1.07 [211]~E(x2111,x2112)+E(f32(x2111,x2113,x2114,x2115),f32(x2112,x2113,x2114,x2115))
% 0.87/1.07 [212]~E(x2121,x2122)+E(f32(x2123,x2121,x2124,x2125),f32(x2123,x2122,x2124,x2125))
% 0.87/1.07 [213]~E(x2131,x2132)+E(f32(x2133,x2134,x2131,x2135),f32(x2133,x2134,x2132,x2135))
% 0.87/1.07 [214]~E(x2141,x2142)+E(f32(x2143,x2144,x2145,x2141),f32(x2143,x2144,x2145,x2142))
% 0.87/1.07 [215]~E(x2151,x2152)+E(f31(x2151,x2153,x2154,x2155),f31(x2152,x2153,x2154,x2155))
% 0.87/1.07 [216]~E(x2161,x2162)+E(f31(x2163,x2161,x2164,x2165),f31(x2163,x2162,x2164,x2165))
% 0.87/1.07 [217]~E(x2171,x2172)+E(f31(x2173,x2174,x2171,x2175),f31(x2173,x2174,x2172,x2175))
% 0.87/1.07 [218]~E(x2181,x2182)+E(f31(x2183,x2184,x2185,x2181),f31(x2183,x2184,x2185,x2182))
% 0.87/1.07 [219]~E(x2191,x2192)+E(f28(x2191,x2193,x2194,x2195),f28(x2192,x2193,x2194,x2195))
% 0.87/1.07 [220]~E(x2201,x2202)+E(f28(x2203,x2201,x2204,x2205),f28(x2203,x2202,x2204,x2205))
% 0.87/1.07 [221]~E(x2211,x2212)+E(f28(x2213,x2214,x2211,x2215),f28(x2213,x2214,x2212,x2215))
% 0.87/1.07 [222]~E(x2221,x2222)+E(f28(x2223,x2224,x2225,x2221),f28(x2223,x2224,x2225,x2222))
% 0.87/1.07 [223]~E(x2231,x2232)+E(f9(x2231,x2233),f9(x2232,x2233))
% 0.87/1.07 [224]~E(x2241,x2242)+E(f9(x2243,x2241),f9(x2243,x2242))
% 0.87/1.07 [225]~E(x2251,x2252)+E(f22(x2251,x2253,x2254,x2255),f22(x2252,x2253,x2254,x2255))
% 0.87/1.07 [226]~E(x2261,x2262)+E(f22(x2263,x2261,x2264,x2265),f22(x2263,x2262,x2264,x2265))
% 0.87/1.07 [227]~E(x2271,x2272)+E(f22(x2273,x2274,x2271,x2275),f22(x2273,x2274,x2272,x2275))
% 0.87/1.07 [228]~E(x2281,x2282)+E(f22(x2283,x2284,x2285,x2281),f22(x2283,x2284,x2285,x2282))
% 0.87/1.07 [229]~E(x2291,x2292)+E(f10(x2291,x2293),f10(x2292,x2293))
% 0.87/1.07 [230]~E(x2301,x2302)+E(f10(x2303,x2301),f10(x2303,x2302))
% 0.87/1.07 [231]~E(x2311,x2312)+E(f19(x2311,x2313,x2314,x2315),f19(x2312,x2313,x2314,x2315))
% 0.87/1.07 [232]~E(x2321,x2322)+E(f19(x2323,x2321,x2324,x2325),f19(x2323,x2322,x2324,x2325))
% 0.87/1.07 [233]~E(x2331,x2332)+E(f19(x2333,x2334,x2331,x2335),f19(x2333,x2334,x2332,x2335))
% 0.87/1.07 [234]~E(x2341,x2342)+E(f19(x2343,x2344,x2345,x2341),f19(x2343,x2344,x2345,x2342))
% 0.87/1.07 [235]~P1(x2351)+P1(x2352)+~E(x2351,x2352)
% 0.87/1.07 [236]P20(x2362,x2363,x2364)+~E(x2361,x2362)+~P20(x2361,x2363,x2364)
% 0.87/1.07 [237]P20(x2373,x2372,x2374)+~E(x2371,x2372)+~P20(x2373,x2371,x2374)
% 0.87/1.07 [238]P20(x2383,x2384,x2382)+~E(x2381,x2382)+~P20(x2383,x2384,x2381)
% 0.87/1.07 [239]~P2(x2391)+P2(x2392)+~E(x2391,x2392)
% 0.87/1.07 [240]~P32(x2401)+P32(x2402)+~E(x2401,x2402)
% 0.87/1.07 [241]~P24(x2411)+P24(x2412)+~E(x2411,x2412)
% 0.87/1.07 [242]P19(x2422,x2423,x2424)+~E(x2421,x2422)+~P19(x2421,x2423,x2424)
% 0.87/1.07 [243]P19(x2433,x2432,x2434)+~E(x2431,x2432)+~P19(x2433,x2431,x2434)
% 0.87/1.07 [244]P19(x2443,x2444,x2442)+~E(x2441,x2442)+~P19(x2443,x2444,x2441)
% 0.87/1.07 [245]~P25(x2451)+P25(x2452)+~E(x2451,x2452)
% 0.87/1.07 [246]P9(x2462,x2463,x2464)+~E(x2461,x2462)+~P9(x2461,x2463,x2464)
% 0.87/1.07 [247]P9(x2473,x2472,x2474)+~E(x2471,x2472)+~P9(x2473,x2471,x2474)
% 0.87/1.07 [248]P9(x2483,x2484,x2482)+~E(x2481,x2482)+~P9(x2483,x2484,x2481)
% 0.87/1.07 [249]~P26(x2491)+P26(x2492)+~E(x2491,x2492)
% 0.87/1.07 [250]P7(x2502,x2503)+~E(x2501,x2502)+~P7(x2501,x2503)
% 0.87/1.07 [251]P7(x2513,x2512)+~E(x2511,x2512)+~P7(x2513,x2511)
% 0.87/1.07 [252]~P3(x2521)+P3(x2522)+~E(x2521,x2522)
% 0.87/1.07 [253]~P29(x2531)+P29(x2532)+~E(x2531,x2532)
% 0.87/1.07 [254]P18(x2542,x2543,x2544)+~E(x2541,x2542)+~P18(x2541,x2543,x2544)
% 0.87/1.07 [255]P18(x2553,x2552,x2554)+~E(x2551,x2552)+~P18(x2553,x2551,x2554)
% 0.87/1.07 [256]P18(x2563,x2564,x2562)+~E(x2561,x2562)+~P18(x2563,x2564,x2561)
% 0.87/1.07 [257]~P4(x2571)+P4(x2572)+~E(x2571,x2572)
% 0.87/1.07 [258]~P27(x2581)+P27(x2582)+~E(x2581,x2582)
% 0.87/1.07 [259]~P31(x2591)+P31(x2592)+~E(x2591,x2592)
% 0.87/1.07 [260]P8(x2602,x2603)+~E(x2601,x2602)+~P8(x2601,x2603)
% 0.87/1.07 [261]P8(x2613,x2612)+~E(x2611,x2612)+~P8(x2613,x2611)
% 0.87/1.07 [262]~P30(x2621)+P30(x2622)+~E(x2621,x2622)
% 0.87/1.07 [263]~P5(x2631)+P5(x2632)+~E(x2631,x2632)
% 0.87/1.07 [264]~P6(x2641)+P6(x2642)+~E(x2641,x2642)
% 0.87/1.07 [265]P21(x2652,x2653)+~E(x2651,x2652)+~P21(x2651,x2653)
% 0.87/1.07 [266]P21(x2663,x2662)+~E(x2661,x2662)+~P21(x2663,x2661)
% 0.87/1.07 [267]P17(x2672,x2673)+~E(x2671,x2672)+~P17(x2671,x2673)
% 0.87/1.07 [268]P17(x2683,x2682)+~E(x2681,x2682)+~P17(x2683,x2681)
% 0.87/1.07 [269]P22(x2692,x2693)+~E(x2691,x2692)+~P22(x2691,x2693)
% 0.87/1.07 [270]P22(x2703,x2702)+~E(x2701,x2702)+~P22(x2703,x2701)
% 0.87/1.07 [271]P14(x2712,x2713,x2714)+~E(x2711,x2712)+~P14(x2711,x2713,x2714)
% 0.87/1.07 [272]P14(x2723,x2722,x2724)+~E(x2721,x2722)+~P14(x2723,x2721,x2724)
% 0.87/1.07 [273]P14(x2733,x2734,x2732)+~E(x2731,x2732)+~P14(x2733,x2734,x2731)
% 0.87/1.07 [274]P13(x2742,x2743)+~E(x2741,x2742)+~P13(x2741,x2743)
% 0.87/1.07 [275]P13(x2753,x2752)+~E(x2751,x2752)+~P13(x2753,x2751)
% 0.87/1.07 [276]P16(x2762,x2763,x2764)+~E(x2761,x2762)+~P16(x2761,x2763,x2764)
% 0.87/1.07 [277]P16(x2773,x2772,x2774)+~E(x2771,x2772)+~P16(x2773,x2771,x2774)
% 0.87/1.07 [278]P16(x2783,x2784,x2782)+~E(x2781,x2782)+~P16(x2783,x2784,x2781)
% 0.87/1.07 [279]P11(x2792,x2793,x2794,x2795,x2796,x2797)+~E(x2791,x2792)+~P11(x2791,x2793,x2794,x2795,x2796,x2797)
% 0.87/1.07 [280]P11(x2803,x2802,x2804,x2805,x2806,x2807)+~E(x2801,x2802)+~P11(x2803,x2801,x2804,x2805,x2806,x2807)
% 0.87/1.07 [281]P11(x2813,x2814,x2812,x2815,x2816,x2817)+~E(x2811,x2812)+~P11(x2813,x2814,x2811,x2815,x2816,x2817)
% 0.87/1.07 [282]P11(x2823,x2824,x2825,x2822,x2826,x2827)+~E(x2821,x2822)+~P11(x2823,x2824,x2825,x2821,x2826,x2827)
% 0.87/1.07 [283]P11(x2833,x2834,x2835,x2836,x2832,x2837)+~E(x2831,x2832)+~P11(x2833,x2834,x2835,x2836,x2831,x2837)
% 0.87/1.07 [284]P11(x2843,x2844,x2845,x2846,x2847,x2842)+~E(x2841,x2842)+~P11(x2843,x2844,x2845,x2846,x2847,x2841)
% 0.87/1.07 [285]P12(x2852,x2853,x2854)+~E(x2851,x2852)+~P12(x2851,x2853,x2854)
% 0.87/1.07 [286]P12(x2863,x2862,x2864)+~E(x2861,x2862)+~P12(x2863,x2861,x2864)
% 0.87/1.07 [287]P12(x2873,x2874,x2872)+~E(x2871,x2872)+~P12(x2873,x2874,x2871)
% 0.87/1.07 [288]P15(x2882,x2883)+~E(x2881,x2882)+~P15(x2881,x2883)
% 0.87/1.07 [289]P15(x2893,x2892)+~E(x2891,x2892)+~P15(x2893,x2891)
% 0.87/1.07 [290]~P28(x2901)+P28(x2902)+~E(x2901,x2902)
% 0.87/1.07 [291]P10(x2912,x2913,x2914,x2915)+~E(x2911,x2912)+~P10(x2911,x2913,x2914,x2915)
% 0.87/1.07 [292]P10(x2923,x2922,x2924,x2925)+~E(x2921,x2922)+~P10(x2923,x2921,x2924,x2925)
% 0.87/1.07 [293]P10(x2933,x2934,x2932,x2935)+~E(x2931,x2932)+~P10(x2933,x2934,x2931,x2935)
% 0.87/1.07 [294]P10(x2943,x2944,x2945,x2942)+~E(x2941,x2942)+~P10(x2943,x2944,x2945,x2941)
% 0.87/1.07 [295]P23(x2952,x2953)+~E(x2951,x2952)+~P23(x2951,x2953)
% 0.87/1.07 [296]P23(x2963,x2962)+~E(x2961,x2962)+~P23(x2963,x2961)
% 0.87/1.07
% 0.87/1.07 %-------------------------------------------
% 0.87/1.07 cnf(968,plain,
% 0.87/1.07 ($false),
% 0.87/1.07 inference(scs_inference,[],[491,484,967]),
% 0.87/1.07 ['proof']).
% 0.87/1.07 % SZS output end Proof
% 0.87/1.07 % Total time :0.090000s
%------------------------------------------------------------------------------