TSTP Solution File: SWV898-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV898-1 : 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 21:35:43 EDT 2023
% Result : Unsatisfiable 0.80s 0.88s
% Output : CNFRefutation 0.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SWV898-1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.36 % Computer : n031.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 06:41:11 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.58 start to proof:theBenchmark
% 0.72/0.84 %-------------------------------------------
% 0.72/0.84 % File :CSE---1.6
% 0.72/0.84 % Problem :theBenchmark
% 0.72/0.84 % Transform :cnf
% 0.72/0.84 % Format :tptp:raw
% 0.72/0.84 % Command :java -jar mcs_scs.jar %d %s
% 0.72/0.84
% 0.72/0.84 % Result :Theorem 0.040000s
% 0.72/0.84 % Output :CNFRefutation 0.040000s
% 0.72/0.84 %-------------------------------------------
% 0.72/0.85 %------------------------------------------------------------------------------
% 0.72/0.85 % File : SWV898-1 : TPTP v8.1.2. Released v4.1.0.
% 0.72/0.85 % Domain : Software Verification
% 0.72/0.85 % Problem : Hoare logic with procedures 434_1
% 0.72/0.85 % Version : Especial.
% 0.72/0.85 % English : Completeness is taken relative to completeness of the underlying
% 0.72/0.85 % logic. Two versions of completeness proof: nested single recursion
% 0.72/0.85 % and simultaneous recursion in call rule.
% 0.72/0.85
% 0.72/0.85 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.72/0.85 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.72/0.85 % Source : [Nip10]
% 0.72/0.85 % Names : Hoare-434_1 [Nip10]
% 0.72/0.85
% 0.72/0.85 % Status : Unsatisfiable
% 0.72/0.85 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.07 v6.0.0, 0.20 v5.5.0, 0.45 v5.4.0, 0.50 v5.2.0, 0.44 v5.1.0, 0.47 v5.0.0, 0.43 v4.1.0
% 0.72/0.85 % Syntax : Number of clauses : 626 ( 163 unt; 38 nHn; 322 RR)
% 0.72/0.85 % Number of literals : 1350 ( 363 equ; 701 neg)
% 0.72/0.85 % Maximal clause size : 7 ( 2 avg)
% 0.72/0.85 % Maximal term depth : 6 ( 1 avg)
% 0.72/0.85 % Number of predicates : 34 ( 33 usr; 2 prp; 0-5 aty)
% 0.72/0.85 % Number of functors : 51 ( 51 usr; 9 con; 0-6 aty)
% 0.72/0.85 % Number of variables : 2107 ( 213 sgn)
% 0.72/0.85 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.72/0.85
% 0.72/0.85 % Comments :
% 0.72/0.85 %------------------------------------------------------------------------------
% 0.72/0.85 cnf(cls_Un__Int__crazy_0,axiom,
% 0.72/0.85 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)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_atLeastAtMost__singleton_0,axiom,
% 0.72/0.85 ( ~ class_Orderings_Oorder(T_a)
% 0.72/0.85 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_a,T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_singleton__inject_0,axiom,
% 0.72/0.85 ( 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)
% 0.72/0.85 | V_a = V_b ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_compl__unique_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.72/0.85 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != c_Orderings_Otop__class_Otop(T_a)
% 0.72/0.85 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 0.72/0.85 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) = V_y ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_insert__Diff__single_0,axiom,
% 0.72/0.85 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) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Compl__lessThan_0,axiom,
% 0.72/0.85 ( ~ class_Orderings_Olinorder(T_a)
% 0.72/0.85 | c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OlessThan(V_k,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeast(V_k,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_distrib__inf__le_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Olattice(T_a)
% 0.72/0.85 | 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) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_lessThan__eq__iff_0,axiom,
% 0.72/0.85 ( ~ class_Orderings_Olinorder(T_a)
% 0.72/0.85 | c_SetInterval_Oord__class_OlessThan(V_x,T_a) != c_SetInterval_Oord__class_OlessThan(V_y,T_a)
% 0.72/0.85 | V_x = V_y ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Diff__partition_0,axiom,
% 0.72/0.85 ( 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
% 0.72/0.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_inf__sup__aci_I1_J_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Olattice(T_a)
% 0.72/0.85 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_inf__commute_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.72/0.85 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Int__commute_0,axiom,
% 0.72/0.85 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)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_atMost__Int__atLeast_0,axiom,
% 0.72/0.85 ( ~ class_Orderings_Oorder(T_a)
% 0.72/0.85 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatMost(V_n,T_a),c_SetInterval_Oord__class_OatLeast(V_n,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_n,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_insert__dom_0,axiom,
% 0.72/0.85 ( hAPP(V_f,V_x) != c_Option_Ooption_OSome(V_y,T_a)
% 0.72/0.85 | c_Set_Oinsert(V_x,c_Map_Odom(V_f,T_b,T_a),T_b) = c_Map_Odom(V_f,T_b,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_inj__onD_0,axiom,
% 0.72/0.85 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 0.72/0.85 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.72/0.85 | V_x = V_y
% 0.72/0.85 | ~ c_in(V_y,V_A,T_a)
% 0.72/0.85 | ~ c_in(V_x,V_A,T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_inj__on__def_0,axiom,
% 0.72/0.85 ( hAPP(V_f,V_x) != hAPP(V_f,V_xa)
% 0.72/0.85 | ~ c_in(V_xa,V_A,T_a)
% 0.72/0.85 | ~ c_in(V_x,V_A,T_a)
% 0.72/0.85 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.72/0.85 | V_x = V_xa ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_inj__on__iff_0,axiom,
% 0.72/0.85 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 0.72/0.85 | ~ c_in(V_y,V_A,T_a)
% 0.72/0.85 | ~ c_in(V_x,V_A,T_a)
% 0.72/0.85 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.72/0.85 | V_x = V_y ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_inj__on__contraD_0,axiom,
% 0.72/0.85 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 0.72/0.85 | ~ c_in(V_y,V_A,T_a)
% 0.72/0.85 | ~ c_in(V_x,V_A,T_a)
% 0.72/0.85 | V_x = V_y
% 0.72/0.85 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_IntE_0,axiom,
% 0.72/0.85 ( c_in(V_c,V_A,T_a)
% 0.72/0.85 | ~ c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_IntE_1,axiom,
% 0.72/0.85 ( c_in(V_c,V_B,T_a)
% 0.72/0.85 | ~ c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Olattice(T_a)
% 0.72/0.85 | 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) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Olattice(T_a)
% 0.72/0.85 | 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) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_sup__left__commute_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.72/0.85 | 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) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_sup__assoc_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.72/0.85 | 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) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Un__assoc_0,axiom,
% 0.72/0.85 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)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Un__left__commute_0,axiom,
% 0.72/0.85 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)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_inj__on__empty_0,axiom,
% 0.72/0.85 c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_diff__eq_0,axiom,
% 0.72/0.85 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.72/0.85 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Diff__eq_0,axiom,
% 0.72/0.85 c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Max__singleton_0,axiom,
% 0.72/0.85 ( ~ class_Orderings_Olinorder(T_a)
% 0.72/0.85 | c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_eq__eqI_0,axiom,
% 0.72/0.85 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.72/0.85 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.72/0.85 | V_x_H = V_y_H ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_eq__eqI_1,axiom,
% 0.72/0.85 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.72/0.85 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 0.72/0.85 | V_xa = V_y ) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_doubleton__eq__iff_4,axiom,
% 0.72/0.85 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) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_rangeI_0,axiom,
% 0.72/0.85 c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_Diff__idemp_0,axiom,
% 0.72/0.85 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)) ).
% 0.72/0.85
% 0.72/0.85 cnf(cls_inj__on__Un_2,axiom,
% 0.72/0.85 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),T_a,T_b),tc_fun(T_b,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))
% 0.72/0.86 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_inj__on__Un_3,axiom,
% 0.72/0.86 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),T_a,T_b),tc_fun(T_b,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))
% 0.72/0.86 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b)
% 0.72/0.86 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.72/0.86 | c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_COMBI__def_0,axiom,
% 0.72/0.86 hAPP(c_COMBI(T_a),V_P) = V_P ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_mem__def_0,axiom,
% 0.72/0.86 ( hBOOL(hAPP(V_S,V_x))
% 0.72/0.86 | ~ c_in(V_x,V_S,T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_mem__def_1,axiom,
% 0.72/0.86 ( c_in(V_x,V_S,T_a)
% 0.72/0.86 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_insert__commute_0,axiom,
% 0.72/0.86 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) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_ivl__disj__un_I13_J_0,axiom,
% 0.72/0.86 ( ~ class_Orderings_Olinorder(T_a)
% 0.72/0.86 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a),c_SetInterval_Oord__class_OgreaterThan(V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeast(V_l,T_a)
% 0.72/0.86 | ~ c_lessequals(V_l,V_u,T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_inv__into__into_0,axiom,
% 0.72/0.86 ( c_in(hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),V_x),V_A,T_b)
% 0.72/0.86 | ~ c_in(V_x,c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_inj__on__id_0,axiom,
% 0.72/0.86 c_Fun_Oinj__on(c_Fun_Oid(T_a),V_A,T_a,T_a) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_inv__into__injective_0,axiom,
% 0.72/0.86 ( hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),V_x) != hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),V_y)
% 0.72/0.86 | V_x = V_y
% 0.72/0.86 | ~ c_in(V_y,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)
% 0.72/0.86 | ~ c_in(V_x,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_insertCI_1,axiom,
% 0.72/0.86 c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_insertI1_0,axiom,
% 0.72/0.86 c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_insert__iff_1,axiom,
% 0.72/0.86 c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_inj__on__insert_2,axiom,
% 0.72/0.86 ( c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b)
% 0.72/0.86 | c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,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,T_b),T_b)
% 0.72/0.86 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_inv__id_0,axiom,
% 0.72/0.86 c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),c_Fun_Oid(T_a),T_a,T_a) = c_Fun_Oid(T_a) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_sup__idem_0,axiom,
% 0.72/0.86 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.72/0.86 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_Un__absorb_0,axiom,
% 0.72/0.86 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_finite__vimageI_0,axiom,
% 0.72/0.86 ( c_Finite__Set_Ofinite(c_Set_Ovimage(V_h,V_F,T_b,T_a),T_b)
% 0.72/0.86 | ~ c_Fun_Oinj__on(V_h,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a)
% 0.72/0.86 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_id__o_0,axiom,
% 0.72/0.86 c_Fun_Ocomp(c_Fun_Oid(T_b),V_g,T_b,T_b,T_a) = V_g ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_o__id_0,axiom,
% 0.72/0.86 c_Fun_Ocomp(V_f,c_Fun_Oid(T_a),T_a,T_b,T_a) = V_f ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_surj__iff_0,axiom,
% 0.72/0.86 ( c_Fun_Ocomp(V_f,c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),T_a,T_b,T_b) = c_Fun_Oid(T_b)
% 0.72/0.86 | ~ c_Fun_Osurj(V_f,T_a,T_b) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_surj__iff_1,axiom,
% 0.72/0.86 ( c_Fun_Ocomp(V_f,c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),T_a,T_b,T_b) != c_Fun_Oid(T_b)
% 0.72/0.86 | c_Fun_Osurj(V_f,T_a,T_b) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_inf__sup__distrib2_0,axiom,
% 0.72/0.86 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.72/0.86 | 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) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_inf__sup__distrib1_0,axiom,
% 0.72/0.86 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.72/0.86 | 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) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_Int__Un__distrib_0,axiom,
% 0.72/0.86 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)) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_Int__Un__distrib2_0,axiom,
% 0.72/0.86 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)) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_inj__on__imageI_0,axiom,
% 0.72/0.86 ( c_Fun_Oinj__on(V_g,c_Set_Oimage(V_f,V_A,T_a,T_c),T_c,T_b)
% 0.72/0.86 | ~ c_Fun_Oinj__on(c_Fun_Ocomp(V_g,V_f,T_c,T_b,T_a),V_A,T_a,T_b) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_Diff__triv_0,axiom,
% 0.72/0.86 ( 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))
% 0.72/0.86 | c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_singletonE_0,axiom,
% 0.72/0.86 ( V_b = V_a
% 0.72/0.86 | ~ c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_ivl__disj__un_I6_J_0,axiom,
% 0.72/0.86 ( ~ class_Orderings_Olinorder(T_a)
% 0.72/0.86 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a),c_Set_Oinsert(V_u,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)
% 0.72/0.86 | ~ c_lessequals(V_l,V_u,T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_subset__insert__iff_0,axiom,
% 0.72/0.86 ( 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))
% 0.72/0.86 | ~ c_in(V_x,V_A,T_a)
% 0.72/0.86 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_subset__insert__iff_3,axiom,
% 0.72/0.86 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.72/0.86 | ~ c_in(V_x,V_A,T_a)
% 0.72/0.86 | ~ 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)) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_diff__single__insert_0,axiom,
% 0.72/0.86 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.72/0.86 | ~ c_in(V_x,V_A,T_a)
% 0.72/0.86 | ~ 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)) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_inj__on__insert_0,axiom,
% 0.72/0.86 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.72/0.86 | ~ c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_insert__Diff1_0,axiom,
% 0.72/0.86 ( 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))
% 0.72/0.86 | ~ c_in(V_x,V_B,T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_ivl__disj__int_I11_J_0,axiom,
% 0.72/0.86 ( ~ class_Orderings_Oorder(T_a)
% 0.72/0.86 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_Compl__atLeast_0,axiom,
% 0.72/0.86 ( ~ class_Orderings_Olinorder(T_a)
% 0.72/0.86 | c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OatLeast(V_k,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OlessThan(V_k,T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_ivl__disj__int_I8_J_0,axiom,
% 0.72/0.86 ( ~ class_Orderings_Oorder(T_a)
% 0.72/0.86 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a),c_SetInterval_Oord__class_OatLeast(V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_ComplD_0,axiom,
% 0.72/0.86 ( ~ c_in(V_c,V_A,T_a)
% 0.72/0.86 | ~ c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_ComplI_0,axiom,
% 0.72/0.86 ( c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a)
% 0.72/0.86 | c_in(V_c,V_A,T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_inf__compl__bot_0,axiom,
% 0.72/0.86 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.72/0.86 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_compl__inf__bot_0,axiom,
% 0.72/0.86 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.72/0.86 | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_Compl__disjoint_0,axiom,
% 0.72/0.86 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ouminus__class_Ouminus(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)) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_Compl__disjoint2_0,axiom,
% 0.72/0.86 c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_A,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)) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_inj__on__diff_0,axiom,
% 0.72/0.86 ( c_Fun_Oinj__on(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)
% 0.72/0.86 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_inv__into__comp_0,axiom,
% 0.72/0.86 ( hAPP(c_Hilbert__Choice_Oinv__into(V_A,c_Fun_Ocomp(V_f,V_g,T_a,T_b,T_c),T_c,T_b),V_x) = hAPP(c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(V_A,V_g,T_c,T_a),c_Hilbert__Choice_Oinv__into(c_Set_Oimage(V_g,V_A,T_c,T_a),V_f,T_a,T_b),T_a,T_c,T_b),V_x)
% 0.72/0.86 | ~ c_in(V_x,c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_A,T_c,T_a),T_a,T_b),T_b)
% 0.72/0.86 | ~ c_Fun_Oinj__on(V_g,V_A,T_c,T_a)
% 0.72/0.86 | ~ c_Fun_Oinj__on(V_f,c_Set_Oimage(V_g,V_A,T_c,T_a),T_a,T_b) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_bij__image__Compl__eq_0,axiom,
% 0.72/0.86 ( c_Set_Oimage(V_f,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a,T_b) = c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))
% 0.72/0.86 | ~ c_Fun_Obij(V_f,T_a,T_b) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_bex__empty_0,axiom,
% 0.72/0.86 ( ~ hBOOL(hAPP(V_P,V_x))
% 0.72/0.86 | ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_bij__id_0,axiom,
% 0.72/0.86 c_Fun_Obij(c_Fun_Oid(T_a),T_a,T_a) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_Compl__partition2_0,axiom,
% 0.72/0.86 c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_Compl__partition_0,axiom,
% 0.72/0.86 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_compl__sup__top_0,axiom,
% 0.72/0.86 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.72/0.86 | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_sup__compl__top_0,axiom,
% 0.72/0.86 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.72/0.86 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_weak__coinduct_0,axiom,
% 0.72/0.86 ( c_in(V_a,c_Inductive_Ocomplete__lattice__class_Ogfp(V_f,tc_fun(T_a,tc_bool)),T_a)
% 0.72/0.86 | ~ c_lessequals(V_X,hAPP(V_f,V_X),tc_fun(T_a,tc_bool))
% 0.72/0.86 | ~ c_in(V_a,V_X,T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
% 0.72/0.86 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.72/0.86 | c_in(V_x,V_xa,T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_derivs__insertD_0,axiom,
% 0.72/0.86 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 0.72/0.86 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_Diff__iff_2,axiom,
% 0.72/0.86 ( c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.72/0.86 | c_in(V_c,V_B,T_a)
% 0.72/0.86 | ~ c_in(V_c,V_A,T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_DiffI_0,axiom,
% 0.72/0.86 ( c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.72/0.86 | c_in(V_c,V_B,T_a)
% 0.72/0.86 | ~ c_in(V_c,V_A,T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_vimage__Compl_0,axiom,
% 0.72/0.86 c_Set_Ovimage(V_f,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_b,tc_bool)),T_a,T_b) = c_HOL_Ouminus__class_Ouminus(c_Set_Ovimage(V_f,V_A,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_surj__f__inv__f_0,axiom,
% 0.72/0.86 ( hAPP(V_f,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),V_y)) = V_y
% 0.72/0.86 | ~ c_Fun_Osurj(V_f,T_a,T_b) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_bij__def_2,axiom,
% 0.72/0.86 ( c_Fun_Obij(V_f,T_a,T_b)
% 0.72/0.86 | ~ c_Fun_Osurj(V_f,T_a,T_b)
% 0.72/0.86 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_bijI_0,axiom,
% 0.72/0.86 ( c_Fun_Obij(V_f,T_a,T_b)
% 0.72/0.86 | ~ c_Fun_Osurj(V_f,T_a,T_b)
% 0.72/0.86 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_image__set__diff_0,axiom,
% 0.72/0.86 ( c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(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))
% 0.72/0.86 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_insert__subset_0,axiom,
% 0.72/0.86 ( c_in(V_x,V_B,T_a)
% 0.72/0.86 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_insert__code_2,axiom,
% 0.72/0.86 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
% 0.72/0.86 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_insert__image_0,axiom,
% 0.72/0.86 ( 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)
% 0.72/0.86 | ~ c_in(V_x,V_A,T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_subset__insert__iff_2,axiom,
% 0.72/0.86 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.72/0.86 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.72/0.86 | c_in(V_x,V_A,T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_subset__insert__iff_1,axiom,
% 0.72/0.86 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.72/0.86 | c_in(V_x,V_A,T_a)
% 0.72/0.86 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_subset__insert_1,axiom,
% 0.72/0.86 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.72/0.86 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.72/0.86 | c_in(V_x,V_A,T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_subset__insert_0,axiom,
% 0.72/0.86 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.72/0.86 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.72/0.86 | c_in(V_x,V_A,T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_insert__ident_0,axiom,
% 0.72/0.86 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a)
% 0.72/0.86 | c_in(V_x,V_B,T_a)
% 0.72/0.86 | c_in(V_x,V_A,T_a)
% 0.72/0.86 | V_A = V_B ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_Int__insert__right_1,axiom,
% 0.72/0.86 ( 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))
% 0.72/0.86 | c_in(V_a,V_A,T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_Int__insert__left_1,axiom,
% 0.72/0.86 ( 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))
% 0.72/0.86 | c_in(V_a,V_C,T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_Un__empty_1,axiom,
% 0.72/0.86 ( 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))
% 0.72/0.86 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_Un__empty_0,axiom,
% 0.72/0.86 ( 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))
% 0.72/0.86 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_sup__eq__bot__eq1_0,axiom,
% 0.72/0.86 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.72/0.86 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 0.72/0.86 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_sup__eq__bot__eq2_0,axiom,
% 0.72/0.86 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.72/0.86 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 0.72/0.86 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_o__eq__id__dest_0,axiom,
% 0.72/0.86 ( c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a) != c_Fun_Ocomp(c_Fun_Oid(T_b),V_c,T_b,T_b,T_a)
% 0.72/0.86 | hAPP(V_a,hAPP(V_b,V_v)) = hAPP(V_c,V_v) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_card__eq__UNIV__imp__eq__UNIV_0,axiom,
% 0.72/0.86 ( c_Finite__Set_Ocard(V_A,T_a) != c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)
% 0.72/0.86 | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)
% 0.72/0.86 | V_A = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_Un__Diff__cancel2_0,axiom,
% 0.72/0.86 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)) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_Un__Diff__cancel_0,axiom,
% 0.72/0.86 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)) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_bij__vimage__eq__inv__image_0,axiom,
% 0.72/0.86 ( c_Set_Ovimage(V_f,V_A,T_a,T_b) = c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),V_A,T_b,T_a)
% 0.72/0.86 | ~ c_Fun_Obij(V_f,T_a,T_b) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_bij__betw__inv__into_0,axiom,
% 0.72/0.86 ( c_Fun_Obij__betw(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),V_B,V_A,T_b,T_a)
% 0.72/0.86 | ~ c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_vimage__id_0,axiom,
% 0.72/0.86 c_Set_Ovimage(c_Fun_Oid(T_a),V_A,T_a,T_a) = V_A ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_Un__Diff_0,axiom,
% 0.72/0.86 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)) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_finite__vimage__iff_1,axiom,
% 0.72/0.86 ( c_Finite__Set_Ofinite(c_Set_Ovimage(V_h,V_F,T_a,T_b),T_a)
% 0.72/0.86 | ~ c_Finite__Set_Ofinite(V_F,T_b)
% 0.72/0.86 | ~ c_Fun_Obij(V_h,T_a,T_b) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_finite__vimage__iff_0,axiom,
% 0.72/0.86 ( c_Finite__Set_Ofinite(V_F,T_b)
% 0.72/0.86 | ~ c_Finite__Set_Ofinite(c_Set_Ovimage(V_h,V_F,T_a,T_b),T_a)
% 0.72/0.86 | ~ c_Fun_Obij(V_h,T_a,T_b) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_vimage__compose_0,axiom,
% 0.72/0.86 c_Set_Ovimage(c_Fun_Ocomp(V_g,V_f,T_c,T_b,T_a),V_x,T_a,T_b) = c_Set_Ovimage(V_f,c_Set_Ovimage(V_g,V_x,T_c,T_b),T_a,T_c) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_vimage__eq_1,axiom,
% 0.72/0.86 ( c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a)
% 0.72/0.86 | ~ c_in(hAPP(V_f,V_a),V_B,T_b) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_vimageI2_0,axiom,
% 0.72/0.86 ( c_in(V_a,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b)
% 0.72/0.86 | ~ c_in(hAPP(V_f,V_a),V_A,T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_vimageI_0,axiom,
% 0.72/0.86 ( c_in(V_a,c_Set_Ovimage(V_f,V_B,T_b,T_a),T_b)
% 0.72/0.86 | ~ c_in(hAPP(V_f,V_a),V_B,T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_vimageE_0,axiom,
% 0.72/0.86 ( c_in(hAPP(V_f,V_a),V_B,T_b)
% 0.72/0.86 | ~ c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_vimageD_0,axiom,
% 0.72/0.86 ( c_in(hAPP(V_f,V_a),V_A,T_b)
% 0.72/0.86 | ~ c_in(V_a,c_Set_Ovimage(V_f,V_A,T_a,T_b),T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_inf__eq__neg__sup_0,axiom,
% 0.72/0.86 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.72/0.86 | c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a),T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_Un__commute_0,axiom,
% 0.72/0.86 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)) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_sup__commute_0,axiom,
% 0.72/0.86 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.72/0.86 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 0.72/0.86 ( ~ class_Lattices_Olattice(T_a)
% 0.72/0.86 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_com_Osimps_I6_J_0,axiom,
% 0.72/0.86 ( hAPP(c_Com_Ocom_OBODY,V_pname) != hAPP(c_Com_Ocom_OBODY,V_pname_H)
% 0.72/0.86 | V_pname = V_pname_H ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_Compl__Int_0,axiom,
% 0.72/0.86 c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_compl__inf_0,axiom,
% 0.72/0.86 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.72/0.86 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_x,T_a),c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_neg__inf__eq__sup_0,axiom,
% 0.72/0.86 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.72/0.86 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_insert__absorb_0,axiom,
% 0.72/0.86 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A
% 0.72/0.86 | ~ c_in(V_a,V_A,T_a) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_insert__is__Un_0,axiom,
% 0.72/0.86 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)) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_Un__left__absorb_0,axiom,
% 0.72/0.86 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)) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_sup__left__idem_0,axiom,
% 0.72/0.86 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.72/0.86 | 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) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 0.72/0.86 ( ~ class_Lattices_Olattice(T_a)
% 0.72/0.86 | 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) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_inv__image__comp_0,axiom,
% 0.72/0.86 ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),c_Set_Oimage(V_f,V_X,T_a,T_b),T_b,T_a) = V_X
% 0.72/0.86 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_image__inv__f__f_0,axiom,
% 0.72/0.86 ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b,T_a) = V_A
% 0.72/0.86 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_surj__id_0,axiom,
% 0.72/0.86 c_Fun_Osurj(c_Fun_Oid(T_a),T_a,T_a) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_comp__inj__on_0,axiom,
% 0.72/0.86 ( c_Fun_Oinj__on(c_Fun_Ocomp(V_g,V_f,T_b,T_c,T_a),V_A,T_a,T_c)
% 0.72/0.86 | ~ c_Fun_Oinj__on(V_g,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b,T_c)
% 0.72/0.86 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_Compl__Un_0,axiom,
% 0.72/0.86 c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.72/0.86
% 0.72/0.86 cnf(cls_compl__sup_0,axiom,
% 0.72/0.86 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.80/0.87 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_x,T_a),c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_neg__sup__eq__inf_0,axiom,
% 0.80/0.87 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.80/0.87 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_Diff__disjoint_0,axiom,
% 0.80/0.87 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)) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_vimage__Un_0,axiom,
% 0.80/0.87 c_Set_Ovimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_ivl__disj__int_I7_J_0,axiom,
% 0.80/0.87 ( ~ class_Orderings_Oorder(T_a)
% 0.80/0.87 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a),c_SetInterval_Oord__class_OgreaterThan(V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_inj__on__insert_1,axiom,
% 0.80/0.87 ( ~ c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,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,T_b),T_b)
% 0.80/0.87 | ~ c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_Diff__Compl_0,axiom,
% 0.80/0.87 c_HOL_Ominus__class_Ominus(V_A,c_HOL_Ouminus__class_Ouminus(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)) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_single__Diff__lessThan_0,axiom,
% 0.80/0.87 ( ~ class_Orderings_Oorder(T_a)
% 0.80/0.87 | c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_k,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),c_SetInterval_Oord__class_OlessThan(V_k,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_k,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_insert__Diff__if_1,axiom,
% 0.80/0.87 ( 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)
% 0.80/0.87 | c_in(V_x,V_B,T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_subset__insert__iff_4,axiom,
% 0.80/0.87 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.80/0.87 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.80/0.87 | ~ 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)) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_inf1E_1,axiom,
% 0.80/0.87 ( hBOOL(hAPP(V_B,V_x))
% 0.80/0.87 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_inf1E_0,axiom,
% 0.80/0.87 ( hBOOL(hAPP(V_A,V_x))
% 0.80/0.87 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_finite__UNIV__surj__inj_0,axiom,
% 0.80/0.87 ( c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_a)
% 0.80/0.87 | ~ c_Fun_Osurj(V_f,T_a,T_a)
% 0.80/0.87 | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_finite__UNIV__inj__surj_0,axiom,
% 0.80/0.87 ( c_Fun_Osurj(V_f,T_a,T_a)
% 0.80/0.87 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_a)
% 0.80/0.87 | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_inj__on__Un_1,axiom,
% 0.80/0.87 ( c_Fun_Oinj__on(V_f,V_B,T_a,T_b)
% 0.80/0.87 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_inj__on__Un_0,axiom,
% 0.80/0.87 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.80/0.87 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_disjoint__eq__subset__Compl_1,axiom,
% 0.80/0.87 ( 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))
% 0.80/0.87 | ~ c_lessequals(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_disjoint__eq__subset__Compl_0,axiom,
% 0.80/0.87 ( 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))
% 0.80/0.87 | c_lessequals(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_vimage__subsetI_0,axiom,
% 0.80/0.87 ( c_lessequals(c_Set_Ovimage(V_f,V_B,T_a,T_b),V_A,tc_fun(T_a,tc_bool))
% 0.80/0.87 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))
% 0.80/0.87 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_surj__imp__inj__inv_0,axiom,
% 0.80/0.87 ( c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a)
% 0.80/0.87 | ~ c_Fun_Osurj(V_f,T_a,T_b) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_Diff__insert__absorb_0,axiom,
% 0.80/0.87 ( 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
% 0.80/0.87 | c_in(V_x,V_A,T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_id__apply_0,axiom,
% 0.80/0.87 hAPP(c_Fun_Oid(T_a),V_x) = V_x ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_Diff__subset__conv_1,axiom,
% 0.80/0.87 ( 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))
% 0.80/0.87 | ~ 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)) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_Diff__subset__conv_0,axiom,
% 0.80/0.87 ( 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))
% 0.80/0.87 | ~ 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)) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_bij__betw__def_0,axiom,
% 0.80/0.87 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.80/0.87 | ~ c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_double__complement_0,axiom,
% 0.80/0.87 c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_minus__minus_0,axiom,
% 0.80/0.87 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.80/0.87 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_double__compl_0,axiom,
% 0.80/0.87 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.80/0.87 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_equation__minus__iff_0,axiom,
% 0.80/0.87 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.80/0.87 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_equation__minus__iff_1,axiom,
% 0.80/0.87 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.80/0.87 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_minus__equation__iff_1,axiom,
% 0.80/0.87 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.80/0.87 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_minus__diff__eq_0,axiom,
% 0.80/0.87 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.80/0.87 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_HOL_Ominus__class_Ominus(V_b,V_a,T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_vimage__Int_0,axiom,
% 0.80/0.87 c_Set_Ovimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_MGT__BodyN_0,axiom,
% 0.80/0.87 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,V_pn)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
% 0.80/0.87 | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,V_pn)),V_G,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_le__eqI_1,axiom,
% 0.80/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.80/0.87 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.80/0.87 | c_lessequals(V_y,V_x,T_a)
% 0.80/0.87 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_le__eqI_0,axiom,
% 0.80/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.80/0.87 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.80/0.87 | c_lessequals(V_y_H,V_x_H,T_a)
% 0.80/0.87 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_Un__insert__left_0,axiom,
% 0.80/0.87 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) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_Un__insert__right_0,axiom,
% 0.80/0.87 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) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_bij__comp_0,axiom,
% 0.80/0.87 ( c_Fun_Obij(c_Fun_Ocomp(V_g,V_f,T_b,T_c,T_a),T_a,T_c)
% 0.80/0.87 | ~ c_Fun_Obij(V_g,T_b,T_c)
% 0.80/0.87 | ~ c_Fun_Obij(V_f,T_a,T_b) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_vimage__Diff_0,axiom,
% 0.80/0.87 c_Set_Ovimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_inj__vimage__image__eq_0,axiom,
% 0.80/0.87 ( c_Set_Ovimage(V_f,c_Set_Oimage(V_f,V_A,T_a,T_b),T_a,T_b) = V_A
% 0.80/0.87 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_vimage__UNIV_0,axiom,
% 0.80/0.87 c_Set_Ovimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_bij__def_0,axiom,
% 0.80/0.87 ( c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
% 0.80/0.87 | ~ c_Fun_Obij(V_f,T_a,T_b) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_sup__top__right_0,axiom,
% 0.80/0.87 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.80/0.87 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_sup__top__left_0,axiom,
% 0.80/0.87 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.80/0.87 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_Un__UNIV__left_0,axiom,
% 0.80/0.87 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_Un__UNIV__right_0,axiom,
% 0.80/0.87 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_Compl__Diff__eq_0,axiom,
% 0.80/0.87 c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_Diff__insert_0,axiom,
% 0.80/0.87 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)) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_Diff__insert2_0,axiom,
% 0.80/0.87 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)) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_insert__not__empty_0,axiom,
% 0.80/0.87 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_inj__on__id2_0,axiom,
% 0.80/0.87 c_Fun_Oinj__on(c_COMBI(T_a),V_A,T_a,T_a) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_vimage__singleton__eq_1,axiom,
% 0.80/0.87 c_in(V_a,c_Set_Ovimage(V_f,c_Set_Oinsert(hAPP(V_f,V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_aa,T_a),T_aa) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_insert__inter__insert_0,axiom,
% 0.80/0.87 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) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_comp__surj_0,axiom,
% 0.80/0.87 ( c_Fun_Osurj(c_Fun_Ocomp(V_g,V_f,T_b,T_c,T_a),T_a,T_c)
% 0.80/0.87 | ~ c_Fun_Osurj(V_g,T_b,T_c)
% 0.80/0.87 | ~ c_Fun_Osurj(V_f,T_a,T_b) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_greaterThan__eq__iff_0,axiom,
% 0.80/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.87 | c_SetInterval_Oord__class_OgreaterThan(V_x,T_a) != c_SetInterval_Oord__class_OgreaterThan(V_y,T_a)
% 0.80/0.87 | V_x = V_y ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_insert__absorb2_0,axiom,
% 0.80/0.87 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) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_map__le__refl_0,axiom,
% 0.80/0.87 c_Map_Omap__le(V_f,V_f,T_a,T_b) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_map__le__trans_0,axiom,
% 0.80/0.87 ( c_Map_Omap__le(V_m1,V_m3,T_a,T_b)
% 0.80/0.87 | ~ c_Map_Omap__le(V_m2,V_m3,T_a,T_b)
% 0.80/0.87 | ~ c_Map_Omap__le(V_m1,V_m2,T_a,T_b) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_insert__code_0,axiom,
% 0.80/0.87 ( hBOOL(hAPP(V_A,V_x))
% 0.80/0.87 | V_y = V_x
% 0.80/0.87 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_subset__Compl__self__eq_1,axiom,
% 0.80/0.87 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_DiffE_0,axiom,
% 0.80/0.87 ( c_in(V_c,V_A,T_a)
% 0.80/0.87 | ~ c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_inj__on__Un__image__eq__iff_0,axiom,
% 0.80/0.87 ( c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b)
% 0.80/0.87 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)
% 0.80/0.87 | V_A = V_B ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_inv__into__f__f_0,axiom,
% 0.80/0.87 ( hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),hAPP(V_f,V_x)) = V_x
% 0.80/0.87 | ~ c_in(V_x,V_A,T_a)
% 0.80/0.87 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_inv__into__f__eq_0,axiom,
% 0.80/0.87 ( ~ c_in(V_x,V_A,T_aa)
% 0.80/0.87 | ~ c_Fun_Oinj__on(V_f,V_A,T_aa,T_a)
% 0.80/0.87 | hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_aa,T_a),hAPP(V_f,V_x)) = V_x ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_DiffE_1,axiom,
% 0.80/0.87 ( ~ c_in(V_c,V_B,T_a)
% 0.80/0.87 | ~ c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_inf__bot__right_0,axiom,
% 0.80/0.87 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.80/0.87 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_inf__bot__left_0,axiom,
% 0.80/0.87 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.80/0.87 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_Int__empty__left_0,axiom,
% 0.80/0.87 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)) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_Int__empty__right_0,axiom,
% 0.80/0.87 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)) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_finite__vimageD_0,axiom,
% 0.80/0.87 ( c_Finite__Set_Ofinite(V_F,T_b)
% 0.80/0.87 | ~ c_Fun_Osurj(V_h,T_a,T_b)
% 0.80/0.87 | ~ c_Finite__Set_Ofinite(c_Set_Ovimage(V_h,V_F,T_a,T_b),T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_atLeast__iff_0,axiom,
% 0.80/0.87 ( ~ class_HOL_Oord(T_a)
% 0.80/0.87 | c_lessequals(V_k,V_i,T_a)
% 0.80/0.87 | ~ c_in(V_i,c_SetInterval_Oord__class_OatLeast(V_k,T_a),T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_atLeast__iff_1,axiom,
% 0.80/0.87 ( ~ class_HOL_Oord(T_a)
% 0.80/0.87 | c_in(V_i,c_SetInterval_Oord__class_OatLeast(V_k,T_a),T_a)
% 0.80/0.87 | ~ c_lessequals(V_k,V_i,T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_surj__range_0,axiom,
% 0.80/0.87 ( c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool))
% 0.80/0.87 | ~ c_Fun_Osurj(V_f,T_a,T_b) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_bij__betw__same__card_0,axiom,
% 0.80/0.87 ( c_Finite__Set_Ocard(V_A,T_a) = c_Finite__Set_Ocard(V_B,T_b)
% 0.80/0.87 | ~ c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_MGF__lemma1_1,axiom,
% 0.80/0.87 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,V_c),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
% 0.80/0.87 | ~ c_Com_OWT(V_c)
% 0.80/0.87 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_sko__Hoare__Mirabelle__XMGF__lemma1__1(V_G))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
% 0.80/0.87 | ~ c_Hoare__Mirabelle_Ostate__not__singleton ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_image__surj__f__inv__f_0,axiom,
% 0.80/0.87 ( c_Set_Oimage(V_f,c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),V_A,T_b,T_a),T_a,T_b) = V_A
% 0.80/0.87 | ~ c_Fun_Osurj(V_f,T_a,T_b) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_map__le__def_0,axiom,
% 0.80/0.87 ( hAPP(V_m_092_060_094isub_0621,V_x) = hAPP(V_m_092_060_094isub_0622,V_x)
% 0.80/0.87 | ~ c_in(V_x,c_Map_Odom(V_m_092_060_094isub_0621,T_a,T_b),T_a)
% 0.80/0.87 | ~ c_Map_Omap__le(V_m_092_060_094isub_0621,V_m_092_060_094isub_0622,T_a,T_b) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_inj__iff_0,axiom,
% 0.80/0.87 ( c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),V_f,T_b,T_a,T_a) = c_Fun_Oid(T_a)
% 0.80/0.87 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_inj__iff_1,axiom,
% 0.80/0.87 ( c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),V_f,T_b,T_a,T_a) != c_Fun_Oid(T_a)
% 0.80/0.87 | c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_image__Int_0,axiom,
% 0.80/0.87 ( c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(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))
% 0.80/0.87 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_Un__Int__assoc__eq_0,axiom,
% 0.80/0.87 ( 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))
% 0.80/0.87 | c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_Un__Int__assoc__eq_1,axiom,
% 0.80/0.87 ( 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))
% 0.80/0.87 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_UNIV__I_0,axiom,
% 0.80/0.87 c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_option_Oinject_0,axiom,
% 0.80/0.87 ( c_Option_Ooption_OSome(V_a,T_a) != c_Option_Ooption_OSome(V_a_H,T_a)
% 0.80/0.87 | V_a = V_a_H ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_Diff__empty_0,axiom,
% 0.80/0.87 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 ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_Diff__cancel_0,axiom,
% 0.80/0.87 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)) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_o__apply_0,axiom,
% 0.80/0.87 hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(V_f,hAPP(V_g,V_x)) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_o__eq__dest__lhs_0,axiom,
% 0.80/0.87 hAPP(V_a,hAPP(V_b,V_v)) = hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_domI_0,axiom,
% 0.80/0.87 ( hAPP(V_m,V_a) != c_Option_Ooption_OSome(V_b,T_a)
% 0.80/0.87 | c_in(V_a,c_Map_Odom(V_m,T_b,T_a),T_b) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_Compl__eq__Diff__UNIV_0,axiom,
% 0.80/0.87 c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_inj__image__mem__iff_0,axiom,
% 0.80/0.87 ( c_in(V_a,V_A,T_a)
% 0.80/0.87 | ~ c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)
% 0.80/0.87 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_inj__image__mem__iff_1,axiom,
% 0.80/0.87 ( c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)
% 0.80/0.87 | ~ c_in(V_a,V_A,T_a)
% 0.80/0.87 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_surj__image__vimage__eq_0,axiom,
% 0.80/0.87 ( c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_a,T_b),T_a,T_b) = V_A
% 0.80/0.87 | ~ c_Fun_Osurj(V_f,T_a,T_b) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_injD_0,axiom,
% 0.80/0.87 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 0.80/0.87 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
% 0.80/0.87 | V_x = V_y ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_sup1E_0,axiom,
% 0.80/0.87 ( hBOOL(hAPP(V_B,V_x))
% 0.80/0.87 | hBOOL(hAPP(V_A,V_x))
% 0.80/0.87 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_sup1CI_0,axiom,
% 0.80/0.87 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.80/0.87 | ~ hBOOL(hAPP(V_B,V_x)) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_sup1CI_1,axiom,
% 0.80/0.87 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.80/0.87 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_UnE_0,axiom,
% 0.80/0.87 ( c_in(V_c,V_B,T_a)
% 0.80/0.87 | c_in(V_c,V_A,T_a)
% 0.80/0.87 | ~ c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_vimage__ident_0,axiom,
% 0.80/0.87 c_Set_Ovimage(c_COMBI(T_a),V_Y,T_a,T_a) = V_Y ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_card__Diff__singleton__if_1,axiom,
% 0.80/0.87 ( c_Finite__Set_Ocard(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)),T_a) = c_Finite__Set_Ocard(V_A,T_a)
% 0.80/0.87 | c_in(V_x,V_A,T_a)
% 0.80/0.87 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_inf__sup__aci_I2_J_0,axiom,
% 0.80/0.87 ( ~ class_Lattices_Olattice(T_a)
% 0.80/0.87 | 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) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_inf__sup__aci_I3_J_0,axiom,
% 0.80/0.87 ( ~ class_Lattices_Olattice(T_a)
% 0.80/0.87 | 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) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_inf__left__commute_0,axiom,
% 0.80/0.87 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.87 | 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) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_inf__assoc_0,axiom,
% 0.80/0.87 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.87 | 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) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_Int__assoc_0,axiom,
% 0.80/0.87 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)) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_Int__left__commute_0,axiom,
% 0.80/0.87 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)) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_ivl__disj__un_I17_J_0,axiom,
% 0.80/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.87 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a)
% 0.80/0.87 | ~ c_lessequals(V_m,V_u,T_a)
% 0.80/0.87 | ~ c_lessequals(V_l,V_m,T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_Min__singleton_0,axiom,
% 0.80/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.87 | c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_sup__bot__right_0,axiom,
% 0.80/0.87 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.80/0.87 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_sup__bot__left_0,axiom,
% 0.80/0.87 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.80/0.87 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_Un__empty__left_0,axiom,
% 0.80/0.87 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 ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_Un__empty__right_0,axiom,
% 0.80/0.87 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 ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_empty__Diff_0,axiom,
% 0.80/0.87 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)) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_bij__betw__def_2,axiom,
% 0.80/0.87 ( ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.80/0.87 | c_Fun_Obij__betw(V_f,V_A,c_Set_Oimage(V_f,V_A,T_a,T_b),T_a,T_b) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_inj__image__eq__iff_0,axiom,
% 0.80/0.87 ( c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b)
% 0.80/0.87 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
% 0.80/0.87 | V_A = V_B ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_Compl__atMost_0,axiom,
% 0.80/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.87 | c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OatMost(V_k,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OgreaterThan(V_k,T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_inf__eq__top__eq2_0,axiom,
% 0.80/0.87 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.80/0.87 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a) != c_Orderings_Otop__class_Otop(T_a)
% 0.80/0.87 | V_B = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_inf__eq__top__eq1_0,axiom,
% 0.80/0.87 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.80/0.87 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a) != c_Orderings_Otop__class_Otop(T_a)
% 0.80/0.87 | V_A = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_o__inv__distrib_0,axiom,
% 0.80/0.87 ( c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_bool)),c_Fun_Ocomp(V_f,V_g,T_a,T_b,T_c),T_c,T_b) = c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_bool)),V_g,T_c,T_a),c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),T_a,T_c,T_b)
% 0.80/0.87 | ~ c_Fun_Obij(V_g,T_c,T_a)
% 0.80/0.87 | ~ c_Fun_Obij(V_f,T_a,T_b) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_ivl__disj__un_I21_J_0,axiom,
% 0.80/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.87 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)
% 0.80/0.87 | ~ c_lessequals(V_m,V_u,T_a)
% 0.80/0.87 | ~ c_lessequals(V_l,V_m,T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_empty_0,axiom,
% 0.80/0.87 c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_compl__top__eq_0,axiom,
% 0.80/0.87 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.80/0.87 | c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_Compl__UNIV__eq_0,axiom,
% 0.80/0.87 c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_atMost__iff_0,axiom,
% 0.80/0.87 ( ~ class_HOL_Oord(T_a)
% 0.80/0.87 | c_lessequals(V_i,V_k,T_a)
% 0.80/0.87 | ~ c_in(V_i,c_SetInterval_Oord__class_OatMost(V_k,T_a),T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_atMost__iff_1,axiom,
% 0.80/0.87 ( ~ class_HOL_Oord(T_a)
% 0.80/0.87 | c_in(V_i,c_SetInterval_Oord__class_OatMost(V_k,T_a),T_a)
% 0.80/0.87 | ~ c_lessequals(V_i,V_k,T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_bot1E_0,axiom,
% 0.80/0.87 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_Diff__Int__distrib_0,axiom,
% 0.80/0.87 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)) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_Diff__Int__distrib2_0,axiom,
% 0.80/0.87 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)) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_UNIV__not__empty_0,axiom,
% 0.80/0.87 c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_bij__def_1,axiom,
% 0.80/0.87 ( c_Fun_Osurj(V_f,T_a,T_b)
% 0.80/0.87 | ~ c_Fun_Obij(V_f,T_a,T_b) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_disjoint__iff__not__equal_0,axiom,
% 0.80/0.87 ( ~ c_in(V_x,V_B,T_a)
% 0.80/0.87 | ~ c_in(V_x,V_A,T_a)
% 0.80/0.87 | 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)) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_inf__top__right_0,axiom,
% 0.80/0.87 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.80/0.87 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = V_x ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_inf__top__left_0,axiom,
% 0.80/0.87 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.80/0.87 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = V_x ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_Int__UNIV__left_0,axiom,
% 0.80/0.87 c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_Int__UNIV__right_0,axiom,
% 0.80/0.87 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_le__supE_0,axiom,
% 0.80/0.87 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.80/0.87 | c_lessequals(V_a,V_x,T_a)
% 0.80/0.87 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_le__supE_1,axiom,
% 0.80/0.87 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.80/0.87 | c_lessequals(V_b,V_x,T_a)
% 0.80/0.87 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_le__supI1_0,axiom,
% 0.80/0.87 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.80/0.87 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.80/0.87 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_le__supI2_0,axiom,
% 0.80/0.87 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.80/0.87 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.80/0.87 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_le__sup__iff_0,axiom,
% 0.80/0.87 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.80/0.87 | c_lessequals(V_x,V_z,T_a)
% 0.80/0.87 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_le__sup__iff_1,axiom,
% 0.80/0.87 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.80/0.87 | c_lessequals(V_y,V_z,T_a)
% 0.80/0.87 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_gfp__upperbound_0,axiom,
% 0.80/0.87 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.80/0.87 | c_lessequals(V_X,c_Inductive_Ocomplete__lattice__class_Ogfp(V_f,T_a),T_a)
% 0.80/0.87 | ~ c_lessequals(V_X,hAPP(V_f,V_X),T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_top__greatest_0,axiom,
% 0.80/0.87 ( ~ class_Orderings_Otop(T_a)
% 0.80/0.87 | c_lessequals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_inf__le1_0,axiom,
% 0.80/0.87 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.87 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_inf__le2_0,axiom,
% 0.80/0.87 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.87 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_le__infI_0,axiom,
% 0.80/0.87 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.87 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a)
% 0.80/0.87 | ~ c_lessequals(V_x,V_b,T_a)
% 0.80/0.87 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.80/0.87
% 0.80/0.87 cnf(cls_le__inf__iff_2,axiom,
% 0.80/0.87 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.87 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)
% 0.80/0.87 | ~ c_lessequals(V_x,V_z,T_a)
% 0.80/0.87 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.80/0.87
% 0.80/0.88 cnf(cls_inf__greatest_0,axiom,
% 0.80/0.88 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.88 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)
% 0.80/0.88 | ~ c_lessequals(V_x,V_z,T_a)
% 0.80/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_inf__sup__ord_I2_J_0,axiom,
% 0.80/0.88 ( ~ class_Lattices_Olattice(T_a)
% 0.80/0.88 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_inf__sup__ord_I1_J_0,axiom,
% 0.80/0.88 ( ~ class_Lattices_Olattice(T_a)
% 0.80/0.88 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_le__iff__sup_0,axiom,
% 0.80/0.88 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.80/0.88 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y
% 0.80/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_le__iff__sup_1,axiom,
% 0.80/0.88 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.80/0.88 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y
% 0.80/0.88 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_sup__absorb1_0,axiom,
% 0.80/0.88 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.80/0.88 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x
% 0.80/0.88 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_bot__least_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Obot(T_a)
% 0.80/0.88 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_le__imp__neg__le_0,axiom,
% 0.80/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.80/0.88 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.80/0.88 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_neg__le__iff__le_0,axiom,
% 0.80/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.80/0.88 | c_lessequals(V_a,V_b,T_a)
% 0.80/0.88 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_le__iff__inf_0,axiom,
% 0.80/0.88 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.88 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_x
% 0.80/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_le__iff__inf_1,axiom,
% 0.80/0.88 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.88 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != V_x
% 0.80/0.88 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_inf__absorb2_0,axiom,
% 0.80/0.88 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.88 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_y
% 0.80/0.88 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_le__supI_0,axiom,
% 0.80/0.88 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.80/0.88 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
% 0.80/0.88 | ~ c_lessequals(V_b,V_x,T_a)
% 0.80/0.88 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_sup__ge1_0,axiom,
% 0.80/0.88 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.80/0.88 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_sup__ge2_0,axiom,
% 0.80/0.88 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.80/0.88 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_sup__least_0,axiom,
% 0.80/0.88 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.80/0.88 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)
% 0.80/0.88 | ~ c_lessequals(V_z,V_x,T_a)
% 0.80/0.88 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_le__sup__iff_2,axiom,
% 0.80/0.88 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.80/0.88 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
% 0.80/0.88 | ~ c_lessequals(V_y,V_z,T_a)
% 0.80/0.88 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 0.80/0.88 ( ~ class_Lattices_Olattice(T_a)
% 0.80/0.88 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 0.80/0.88 ( ~ class_Lattices_Olattice(T_a)
% 0.80/0.88 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_le__infE_0,axiom,
% 0.80/0.88 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.88 | c_lessequals(V_x,V_a,T_a)
% 0.80/0.88 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_le__infE_1,axiom,
% 0.80/0.88 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.88 | c_lessequals(V_x,V_b,T_a)
% 0.80/0.88 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_le__infI1_0,axiom,
% 0.80/0.88 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.88 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 0.80/0.88 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_le__infI2_0,axiom,
% 0.80/0.88 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.88 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 0.80/0.88 | ~ c_lessequals(V_b,V_x,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_le__inf__iff_0,axiom,
% 0.80/0.88 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.88 | c_lessequals(V_x,V_y,T_a)
% 0.80/0.88 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_le__inf__iff_1,axiom,
% 0.80/0.88 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.88 | c_lessequals(V_x,V_z,T_a)
% 0.80/0.88 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_le__minus__iff_0,axiom,
% 0.80/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.80/0.88 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.80/0.88 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_le__minus__iff_1,axiom,
% 0.80/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.80/0.88 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 0.80/0.88 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_minus__le__iff_0,axiom,
% 0.80/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.80/0.88 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 0.80/0.88 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_minus__le__iff_1,axiom,
% 0.80/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.80/0.88 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.80/0.88 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Max__ge_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.88 | c_lessequals(V_x,c_Finite__Set_Olinorder__class_OMax(V_A,T_a),T_a)
% 0.80/0.88 | ~ c_in(V_x,V_A,T_a)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Min__le_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.88 | c_lessequals(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_x,T_a)
% 0.80/0.88 | ~ c_in(V_x,V_A,T_a)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_finite__UNIV_0,axiom,
% 0.80/0.88 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a)
% 0.80/0.88 | c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_finite__Un_1,axiom,
% 0.80/0.88 ( c_Finite__Set_Ofinite(V_G,T_a)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_finite__Un_0,axiom,
% 0.80/0.88 ( c_Finite__Set_Ofinite(V_F,T_a)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_finite__UnI_0,axiom,
% 0.80/0.88 ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(V_G,T_a)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_finite__Un_2,axiom,
% 0.80/0.88 ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(V_G,T_a)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_finite_OemptyI_0,axiom,
% 0.80/0.88 c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_finite__insert_1,axiom,
% 0.80/0.88 ( c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_finite__insert_0,axiom,
% 0.80/0.88 ( c_Finite__Set_Ofinite(V_A,T_a)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_finite__Diff2_1,axiom,
% 0.80/0.88 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_finite__Diff2_0,axiom,
% 0.80/0.88 ( c_Finite__Set_Ofinite(V_A,T_a)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_finite__Diff_0,axiom,
% 0.80/0.88 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_finite__Int_1,axiom,
% 0.80/0.88 ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(V_G,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_finite__Int_0,axiom,
% 0.80/0.88 ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_inj__on__iff__eq__card_0,axiom,
% 0.80/0.88 ( c_Finite__Set_Ocard(c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) = c_Finite__Set_Ocard(V_A,T_a)
% 0.80/0.88 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_eq__card__imp__inj__on_0,axiom,
% 0.80/0.88 ( c_Finite__Set_Ocard(c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) != c_Finite__Set_Ocard(V_A,T_a)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 0.80/0.88 | c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_insert__mono_0,axiom,
% 0.80/0.88 ( 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))
% 0.80/0.88 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_double__diff_0,axiom,
% 0.80/0.88 ( 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
% 0.80/0.88 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Int__mono_0,axiom,
% 0.80/0.88 ( 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))
% 0.80/0.88 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_subset__inj__on_0,axiom,
% 0.80/0.88 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.80/0.88 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_subset__iff_0,axiom,
% 0.80/0.88 ( c_in(V_t,V_B,T_a)
% 0.80/0.88 | ~ c_in(V_t,V_A,T_a)
% 0.80/0.88 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_set__rev__mp_0,axiom,
% 0.80/0.88 ( c_in(V_x,V_B,T_a)
% 0.80/0.88 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_in(V_x,V_A,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_subsetD_0,axiom,
% 0.80/0.88 ( c_in(V_c,V_B,T_a)
% 0.80/0.88 | ~ c_in(V_c,V_A,T_a)
% 0.80/0.88 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_set__mp_0,axiom,
% 0.80/0.88 ( c_in(V_x,V_B,T_a)
% 0.80/0.88 | ~ c_in(V_x,V_A,T_a)
% 0.80/0.88 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Un__subset__iff_1,axiom,
% 0.80/0.88 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ 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)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Un__subset__iff_0,axiom,
% 0.80/0.88 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ 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)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_subset__UNIV_0,axiom,
% 0.80/0.88 c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Int__subset__iff_2,axiom,
% 0.80/0.88 ( 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))
% 0.80/0.88 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Int__greatest_0,axiom,
% 0.80/0.88 ( 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))
% 0.80/0.88 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Int__lower2_0,axiom,
% 0.80/0.88 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)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Int__lower1_0,axiom,
% 0.80/0.88 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)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Un__mono_0,axiom,
% 0.80/0.88 ( 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))
% 0.80/0.88 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_subset__empty_1,axiom,
% 0.80/0.88 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)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_subset__empty_0,axiom,
% 0.80/0.88 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_subset__Un__eq_1,axiom,
% 0.80/0.88 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B
% 0.80/0.88 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Un__absorb2_0,axiom,
% 0.80/0.88 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 0.80/0.88 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Un__absorb1_0,axiom,
% 0.80/0.88 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 0.80/0.88 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Diff__mono_0,axiom,
% 0.80/0.88 ( 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))
% 0.80/0.88 | ~ c_lessequals(V_D,V_B,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_subset__insertI_0,axiom,
% 0.80/0.88 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_empty__subsetI_0,axiom,
% 0.80/0.88 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Compl__subset__Compl__iff_1,axiom,
% 0.80/0.88 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Compl__subset__Compl__iff_0,axiom,
% 0.80/0.88 ( c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Compl__anti__mono_0,axiom,
% 0.80/0.88 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_subset__insertI2_0,axiom,
% 0.80/0.88 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_insert__subset_1,axiom,
% 0.80/0.88 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Int__absorb2_0,axiom,
% 0.80/0.88 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 0.80/0.88 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Int__absorb1_0,axiom,
% 0.80/0.88 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 0.80/0.88 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Un__subset__iff_2,axiom,
% 0.80/0.88 ( 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))
% 0.80/0.88 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Un__upper2_0,axiom,
% 0.80/0.88 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)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Un__upper1_0,axiom,
% 0.80/0.88 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)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Un__least_0,axiom,
% 0.80/0.88 ( 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))
% 0.80/0.88 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Diff__subset_0,axiom,
% 0.80/0.88 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)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_vimage__mono_0,axiom,
% 0.80/0.88 ( c_lessequals(c_Set_Ovimage(V_f,V_A,T_b,T_a),c_Set_Ovimage(V_f,V_B,T_b,T_a),tc_fun(T_b,tc_bool))
% 0.80/0.88 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Int__subset__iff_1,axiom,
% 0.80/0.88 ( c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ 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)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Int__subset__iff_0,axiom,
% 0.80/0.88 ( c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ 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)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_inj__on__image__set__diff_0,axiom,
% 0.80/0.88 ( c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(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))
% 0.80/0.88 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_vimage__subsetD_0,axiom,
% 0.80/0.88 ( c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))
% 0.80/0.88 | ~ c_lessequals(c_Set_Ovimage(V_f,V_B,T_a,T_b),V_A,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_Fun_Osurj(V_f,T_a,T_b) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_image__subsetI_1,axiom,
% 0.80/0.88 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),V_B,tc_fun(T_b,tc_bool))
% 0.80/0.88 | ~ c_in(hAPP(V_f,c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(V_A,V_B,V_f,T_a,T_b)),V_B,T_b) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_image__vimage__eq_0,axiom,
% 0.80/0.88 c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_distrib__sup__le_0,axiom,
% 0.80/0.88 ( ~ class_Lattices_Olattice(T_a)
% 0.80/0.88 | 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) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_ivl__disj__un_I1_J_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.88 | c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_l,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),c_SetInterval_Oord__class_OgreaterThan(V_l,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeast(V_l,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Diff__Int2_0,axiom,
% 0.80/0.88 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)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_ivl__disj__int_I15_J_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.80/0.88 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_atLeastLessThan__empty_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.80/0.88 | c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_sup__inf__absorb_0,axiom,
% 0.80/0.88 ( ~ class_Lattices_Olattice(T_a)
% 0.80/0.88 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = V_x ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_top1I_0,axiom,
% 0.80/0.88 hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_image__cong_0,axiom,
% 0.80/0.88 ( c_Set_Oimage(V_f,V_x,T_a,T_b) = c_Set_Oimage(V_g,V_x,T_a,T_b)
% 0.80/0.88 | c_in(c_ATP__Linkup_Osko__Set__Ximage__cong__1__1(V_x,V_f,V_g,T_a,T_b),V_x,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_insertE_0,axiom,
% 0.80/0.88 ( c_in(V_a,V_A,T_a)
% 0.80/0.88 | V_a = V_b
% 0.80/0.88 | ~ c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_compl__eq__compl__iff_0,axiom,
% 0.80/0.88 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.80/0.88 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a)
% 0.80/0.88 | V_x = V_y ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_neg__equal__iff__equal_0,axiom,
% 0.80/0.88 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.80/0.88 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 0.80/0.88 | V_a = V_b ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Compl__eq__Compl__iff_0,axiom,
% 0.80/0.88 ( c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)) != c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool))
% 0.80/0.88 | V_A = V_B ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_ivl__disj__un_I2_J_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.88 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(V_u,T_a),c_Set_Oinsert(V_u,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatMost(V_u,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_com__det_0,axiom,
% 0.80/0.88 ( V_u = V_t
% 0.80/0.88 | ~ c_Natural_Oevalc(V_c,V_s,V_u)
% 0.80/0.88 | ~ c_Natural_Oevalc(V_c,V_s,V_t) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_map__le__antisym_0,axiom,
% 0.80/0.88 ( V_f = V_g
% 0.80/0.88 | ~ c_Map_Omap__le(V_g,V_f,T_a,T_b)
% 0.80/0.88 | ~ c_Map_Omap__le(V_f,V_g,T_a,T_b) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_inf__sup__absorb_0,axiom,
% 0.80/0.88 ( ~ class_Lattices_Olattice(T_a)
% 0.80/0.88 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = V_x ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Un__Diff__Int_0,axiom,
% 0.80/0.88 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 ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_doubleton__eq__iff_0,axiom,
% 0.80/0.88 ( 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)
% 0.80/0.88 | V_a = V_d
% 0.80/0.88 | V_a = V_c ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_doubleton__eq__iff_1,axiom,
% 0.80/0.88 ( 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)
% 0.80/0.88 | V_b = V_c
% 0.80/0.88 | V_a = V_c ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_doubleton__eq__iff_2,axiom,
% 0.80/0.88 ( 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)
% 0.80/0.88 | V_a = V_d
% 0.80/0.88 | V_b = V_d ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_doubleton__eq__iff_3,axiom,
% 0.80/0.88 ( 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)
% 0.80/0.88 | V_b = V_c
% 0.80/0.88 | V_b = V_d ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_ivl__disj__un_I8_J_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.88 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(V_l,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OlessThan(V_u,T_a)
% 0.80/0.88 | ~ c_lessequals(V_l,V_u,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_bij__betw__trans_0,axiom,
% 0.80/0.88 ( c_Fun_Obij__betw(c_Fun_Ocomp(V_g,V_f,T_b,T_c,T_a),V_A,V_C,T_a,T_c)
% 0.80/0.88 | ~ c_Fun_Obij__betw(V_g,V_B,V_C,T_b,T_c)
% 0.80/0.88 | ~ c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_card__insert__if_0,axiom,
% 0.80/0.88 ( c_Finite__Set_Ocard(c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Finite__Set_Ocard(V_A,T_a)
% 0.80/0.88 | ~ c_in(V_x,V_A,T_a)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_atLeast__eq__iff_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.88 | c_SetInterval_Oord__class_OatLeast(V_x,T_a) != c_SetInterval_Oord__class_OatLeast(V_y,T_a)
% 0.80/0.88 | V_x = V_y ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_finite__compl_0,axiom,
% 0.80/0.88 ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_finite__compl_1,axiom,
% 0.80/0.88 ( c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_atLeastatMost__empty__iff2_1,axiom,
% 0.80/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.80/0.88 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)
% 0.80/0.88 | c_lessequals(V_a,V_b,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_atLeastatMost__empty__iff2_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.80/0.88 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)
% 0.80/0.88 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_empty__not__insert_0,axiom,
% 0.80/0.88 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_f__inv__into__f_0,axiom,
% 0.80/0.88 ( hAPP(V_f,hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),V_y)) = V_y
% 0.80/0.88 | ~ c_in(V_y,c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_emptyE_0,axiom,
% 0.80/0.88 ~ c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_empty__iff_0,axiom,
% 0.80/0.88 ~ c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_ball__empty_0,axiom,
% 0.80/0.88 ( hBOOL(hAPP(V_P,V_x))
% 0.80/0.88 | ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_ex__in__conv_0,axiom,
% 0.80/0.88 ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_cut_0,axiom,
% 0.80/0.88 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 0.80/0.88 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_G_H,T_a)
% 0.80/0.88 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Int__insert__left_0,axiom,
% 0.80/0.88 ( 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)
% 0.80/0.88 | ~ c_in(V_a,V_C,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Int__insert__right_0,axiom,
% 0.80/0.88 ( 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)
% 0.80/0.88 | ~ c_in(V_a,V_A,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Diff__UNIV_0,axiom,
% 0.80/0.88 c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_vimage__singleton__eq_0,axiom,
% 0.80/0.88 ( hAPP(V_f,V_a) = V_b
% 0.80/0.88 | ~ c_in(V_a,c_Set_Ovimage(V_f,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_inv__inv__eq_0,axiom,
% 0.80/0.88 ( c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),T_b,T_a) = V_f
% 0.80/0.88 | ~ c_Fun_Obij(V_f,T_a,T_b) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_o__assoc_0,axiom,
% 0.80/0.88 c_Fun_Ocomp(V_f,c_Fun_Ocomp(V_g,V_h,T_d,T_c,T_a),T_c,T_b,T_a) = c_Fun_Ocomp(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_d),V_h,T_d,T_b,T_a) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_sup__inf__distrib2_0,axiom,
% 0.80/0.88 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.80/0.88 | 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) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_sup__inf__distrib1_0,axiom,
% 0.80/0.88 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.80/0.88 | 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) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Un__Int__distrib_0,axiom,
% 0.80/0.88 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)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Un__Int__distrib2_0,axiom,
% 0.80/0.88 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)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_insert__code_1,axiom,
% 0.80/0.88 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_insert__subset_2,axiom,
% 0.80/0.88 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_in(V_x,V_B,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_compl__bot__eq_0,axiom,
% 0.80/0.88 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.80/0.88 | c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Compl__empty__eq_0,axiom,
% 0.80/0.88 c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_inj__imp__surj__inv_0,axiom,
% 0.80/0.88 ( c_Fun_Osurj(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),T_b,T_a)
% 0.80/0.88 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_inf__sup__aci_I4_J_0,axiom,
% 0.80/0.88 ( ~ class_Lattices_Olattice(T_a)
% 0.80/0.88 | 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) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_inf__left__idem_0,axiom,
% 0.80/0.88 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.88 | 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) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Int__left__absorb_0,axiom,
% 0.80/0.88 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)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_ivl__disj__un_I10_J_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.88 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(V_l,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatMost(V_u,T_a)
% 0.80/0.88 | ~ c_lessequals(V_l,V_u,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_finite__Diff__insert_0,axiom,
% 0.80/0.88 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_finite__Diff__insert_1,axiom,
% 0.80/0.88 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),T_a)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_UnCI_0,axiom,
% 0.80/0.88 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.80/0.88 | ~ c_in(V_c,V_B,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_UnCI_1,axiom,
% 0.80/0.88 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.80/0.88 | ~ c_in(V_c,V_A,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_insert__Diff_0,axiom,
% 0.80/0.88 ( 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
% 0.80/0.88 | ~ c_in(V_a,V_A,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_inf__idem_0,axiom,
% 0.80/0.88 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.88 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Int__absorb_0,axiom,
% 0.80/0.88 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Max__in_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.88 | c_in(c_Finite__Set_Olinorder__class_OMax(V_A,T_a),V_A,T_a)
% 0.80/0.88 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_inv__f__f_0,axiom,
% 0.80/0.88 ( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),hAPP(V_f,V_x)) = V_x
% 0.80/0.88 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_inv__f__eq_0,axiom,
% 0.80/0.88 ( ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a)
% 0.80/0.88 | hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),V_f,T_aa,T_a),hAPP(V_f,V_x)) = V_x ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_insertCI_0,axiom,
% 0.80/0.88 ( c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a)
% 0.80/0.88 | ~ c_in(V_a,V_B,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_insert__iff_2,axiom,
% 0.80/0.88 ( c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)
% 0.80/0.88 | ~ c_in(V_a,V_A,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Diff__Un_0,axiom,
% 0.80/0.88 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)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_atLeastatMost__empty__iff_1,axiom,
% 0.80/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.80/0.88 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.80/0.88 | c_lessequals(V_a,V_b,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_atLeastatMost__empty__iff_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.80/0.88 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Int__Diff_0,axiom,
% 0.80/0.88 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)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_ivl__diff_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.88 | c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(V_i,V_m,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_i,V_n,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(V_n,V_m,T_a)
% 0.80/0.88 | ~ c_lessequals(V_i,V_n,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_atMost__eq__iff_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.88 | c_SetInterval_Oord__class_OatMost(V_x,T_a) != c_SetInterval_Oord__class_OatMost(V_y,T_a)
% 0.80/0.88 | V_x = V_y ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Min__in_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.88 | c_in(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_A,T_a)
% 0.80/0.88 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_inj__image__Compl__subset_0,axiom,
% 0.80/0.88 ( c_lessequals(c_Set_Oimage(V_f,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a,T_b),c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool))
% 0.80/0.88 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_singleton__iff_1,axiom,
% 0.80/0.88 c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_subset__Compl__self__eq_0,axiom,
% 0.80/0.88 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_lessequals(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_o__eq__dest_0,axiom,
% 0.80/0.88 ( c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a) != c_Fun_Ocomp(V_c,V_d,T_d,T_b,T_a)
% 0.80/0.88 | hAPP(V_a,hAPP(V_b,V_v)) = hAPP(V_c,hAPP(V_d,V_v)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_comp__cong_0,axiom,
% 0.80/0.88 ( hAPP(V_f,hAPP(V_g,V_x)) != hAPP(V_f_H,hAPP(V_g_H,V_x_H))
% 0.80/0.88 | hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(c_Fun_Ocomp(V_f_H,V_g_H,T_d,T_a,T_e),V_x_H) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_subset__singletonD_0,axiom,
% 0.80/0.88 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 0.80/0.88 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ 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)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_vimage__insert_0,axiom,
% 0.80/0.88 c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Diff__Int_0,axiom,
% 0.80/0.88 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)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Compl__greaterThan_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.88 | c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OgreaterThan(V_k,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatMost(V_k,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_vimage__code_0,axiom,
% 0.80/0.88 ( hBOOL(hAPP(V_A,hAPP(V_f,V_x)))
% 0.80/0.88 | ~ hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_vimage__code_1,axiom,
% 0.80/0.88 ( hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x))
% 0.80/0.88 | ~ hBOOL(hAPP(V_A,hAPP(V_f,V_x))) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_derivs__insertD_1,axiom,
% 0.80/0.88 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 0.80/0.88 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_hoare__derivs_Oinsert_0,axiom,
% 0.80/0.88 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 0.80/0.88 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 0.80/0.88 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_IntI_0,axiom,
% 0.80/0.88 ( c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.80/0.88 | ~ c_in(V_c,V_B,T_a)
% 0.80/0.88 | ~ c_in(V_c,V_A,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Int__iff_2,axiom,
% 0.80/0.88 ( c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.80/0.88 | ~ c_in(V_c,V_B,T_a)
% 0.80/0.88 | ~ c_in(V_c,V_A,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_card__image_0,axiom,
% 0.80/0.88 ( c_Finite__Set_Ocard(c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) = c_Finite__Set_Ocard(V_A,T_a)
% 0.80/0.88 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_inf1I_0,axiom,
% 0.80/0.88 ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.80/0.88 | ~ hBOOL(hAPP(V_B,V_x))
% 0.80/0.88 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_sup__eq__neg__inf_0,axiom,
% 0.80/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.80/0.88 | c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_ivl__disj__int_I4_J_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.80/0.88 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(V_l,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Un__empty_2,axiom,
% 0.80/0.88 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)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_ivl__disj__un_I14_J_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.88 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a),c_SetInterval_Oord__class_OatLeast(V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeast(V_l,T_a)
% 0.80/0.88 | ~ c_lessequals(V_l,V_u,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_ivl__disj__int_I2_J_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.80/0.88 | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(V_l,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_bij__imp__bij__inv_0,axiom,
% 0.80/0.88 ( c_Fun_Obij(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),T_b,T_a)
% 0.80/0.88 | ~ c_Fun_Obij(V_f,T_a,T_b) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_vimage__empty_0,axiom,
% 0.80/0.88 c_Set_Ovimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_o__inv__o__cancel_0,axiom,
% 0.80/0.88 ( c_Fun_Ocomp(c_Fun_Ocomp(V_g,c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),T_a,T_c,T_b),V_f,T_b,T_c,T_a) = V_g
% 0.80/0.88 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_weak__coinduct__image_0,axiom,
% 0.80/0.88 ( c_in(hAPP(V_g,V_a),c_Inductive_Ocomplete__lattice__class_Ogfp(V_f,tc_fun(T_b,tc_bool)),T_b)
% 0.80/0.88 | ~ c_lessequals(c_Set_Oimage(V_g,V_X,T_a,T_b),hAPP(V_f,c_Set_Oimage(V_g,V_X,T_a,T_b)),tc_fun(T_b,tc_bool))
% 0.80/0.88 | ~ c_in(V_a,V_X,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_image__subset__iff_1,axiom,
% 0.80/0.88 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool))
% 0.80/0.88 | c_in(c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(V_A,V_B,V_f,T_b,T_a),V_A,T_b) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_inj__on__inv__into_0,axiom,
% 0.80/0.88 ( c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),V_B,T_a,T_b)
% 0.80/0.88 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_vimage__subset__eq_1,axiom,
% 0.80/0.88 ( c_lessequals(c_Set_Ovimage(V_f,V_B,T_a,T_b),V_A,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))
% 0.80/0.88 | ~ c_Fun_Obij(V_f,T_a,T_b) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_vimage__subset__eq_0,axiom,
% 0.80/0.88 ( c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))
% 0.80/0.88 | ~ c_lessequals(c_Set_Ovimage(V_f,V_B,T_a,T_b),V_A,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_Fun_Obij(V_f,T_a,T_b) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_surj__Compl__image__subset_0,axiom,
% 0.80/0.88 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a,T_b),tc_fun(T_b,tc_bool))
% 0.80/0.88 | ~ c_Fun_Osurj(V_f,T_a,T_b) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_inj__image__subset__iff_1,axiom,
% 0.80/0.88 ( 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))
% 0.80/0.88 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_inj__image__subset__iff_0,axiom,
% 0.80/0.88 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ 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))
% 0.80/0.88 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_inj__on__image__Int_0,axiom,
% 0.80/0.88 ( c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(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))
% 0.80/0.88 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_inv__into__image__cancel_0,axiom,
% 0.80/0.88 ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),c_Set_Oimage(V_f,V_S,T_a,T_b),T_b,T_a) = V_S
% 0.80/0.88 | ~ c_lessequals(V_S,V_A,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_image__subset__iff_2,axiom,
% 0.80/0.88 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_in(hAPP(V_f,c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(V_A,V_B,V_f,T_b,T_a)),V_B,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_image__subsetI_0,axiom,
% 0.80/0.88 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),V_B,tc_fun(T_b,tc_bool))
% 0.80/0.88 | c_in(c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(V_A,V_B,V_f,T_a,T_b),V_A,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_image__Un_0,axiom,
% 0.80/0.88 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)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_image__cong_1,axiom,
% 0.80/0.88 ( hAPP(V_f,c_ATP__Linkup_Osko__Set__Ximage__cong__1__1(V_x,V_f,V_g,T_a,T_b)) != hAPP(V_g,c_ATP__Linkup_Osko__Set__Ximage__cong__1__1(V_x,V_f,V_g,T_a,T_b))
% 0.80/0.88 | c_Set_Oimage(V_f,V_x,T_a,T_b) = c_Set_Oimage(V_g,V_x,T_a,T_b) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_image__is__empty_0,axiom,
% 0.80/0.88 ( c_Set_Oimage(V_f,V_A,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.80/0.88 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_image__compose_0,axiom,
% 0.80/0.88 c_Set_Oimage(c_Fun_Ocomp(V_f,V_g,T_c,T_a,T_b),V_r,T_b,T_a) = c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_r,T_b,T_c),T_c,T_a) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_bij__betw__def_1,axiom,
% 0.80/0.88 ( c_Set_Oimage(V_f,V_A,T_a,T_b) = V_B
% 0.80/0.88 | ~ c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_image__insert_0,axiom,
% 0.80/0.88 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) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_empty__is__image_0,axiom,
% 0.80/0.88 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a)
% 0.80/0.88 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_image__ident_0,axiom,
% 0.80/0.88 c_Set_Oimage(c_COMBI(T_a),V_Y,T_a,T_a) = V_Y ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_image__empty_0,axiom,
% 0.80/0.88 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)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_image__id_0,axiom,
% 0.80/0.88 c_Set_Oimage(c_Fun_Oid(T_a),V_Y,T_a,T_a) = V_Y ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_empty__is__image_1,axiom,
% 0.80/0.88 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) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_rev__image__eqI_0,axiom,
% 0.80/0.88 ( ~ c_in(V_x,V_A,T_aa)
% 0.80/0.88 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_image__iff_2,axiom,
% 0.80/0.88 ( ~ c_in(V_x,V_A,T_b)
% 0.80/0.88 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_image__eqI_0,axiom,
% 0.80/0.88 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)
% 0.80/0.88 | ~ c_in(V_x,V_A,T_b) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_imageI_0,axiom,
% 0.80/0.88 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)
% 0.80/0.88 | ~ c_in(V_x,V_A,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_MGF__lemma1_0,axiom,
% 0.80/0.88 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,V_c),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
% 0.80/0.88 | ~ c_Com_OWT(V_c)
% 0.80/0.88 | c_in(v_sko__Hoare__Mirabelle__XMGF__lemma1__1(V_G),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname)
% 0.80/0.88 | ~ c_Hoare__Mirabelle_Ostate__not__singleton ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_MGF_0,axiom,
% 0.80/0.88 ( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,V_c),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
% 0.80/0.88 | ~ c_Com_OWT(V_c)
% 0.80/0.88 | ~ c_Com_OWT__bodies
% 0.80/0.88 | ~ c_Hoare__Mirabelle_Ostate__not__singleton ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_evalc_OBody_0,axiom,
% 0.80/0.88 ( c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_pn),V_s0,V_s1)
% 0.80/0.88 | ~ c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn)),V_s0,V_s1) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_evalc__elim__cases_I6_J_0,axiom,
% 0.80/0.88 ( c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P)),V_s,V_s1)
% 0.80/0.88 | ~ c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_P),V_s,V_s1) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_the_Osimps_0,axiom,
% 0.80/0.88 hAPP(c_Option_Othe(T_a),c_Option_Ooption_OSome(V_x,T_a)) = V_x ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_WT__bodiesD_0,axiom,
% 0.80/0.88 ( hAPP(c_Com_Obody,V_pn) != c_Option_Ooption_OSome(V_b,tc_Com_Ocom)
% 0.80/0.88 | ~ c_Com_OWT__bodies
% 0.80/0.88 | c_Com_OWT(V_b) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_single__stateE_0,axiom,
% 0.80/0.88 ( v_sko__Hoare__Mirabelle__Xsingle__stateE__1(V_t) != V_t
% 0.80/0.88 | ~ c_Hoare__Mirabelle_Ostate__not__singleton ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Min__antimono_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.88 | c_lessequals(c_Finite__Set_Olinorder__class_OMin(V_N,T_a),c_Finite__Set_Olinorder__class_OMin(V_M,T_a),T_a)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(V_N,T_a)
% 0.80/0.88 | V_M = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_lessequals(V_M,V_N,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Max__mono_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.88 | c_lessequals(c_Finite__Set_Olinorder__class_OMax(V_M,T_a),c_Finite__Set_Olinorder__class_OMax(V_N,T_a),T_a)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(V_N,T_a)
% 0.80/0.88 | V_M = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_lessequals(V_M,V_N,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_card__bij__eq_0,axiom,
% 0.80/0.88 ( c_Finite__Set_Ocard(V_A,T_a) = c_Finite__Set_Ocard(V_B,T_b)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(V_B,T_b)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 0.80/0.88 | ~ c_lessequals(c_Set_Oimage(V_g,V_B,T_b,T_a),V_A,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_Fun_Oinj__on(V_g,V_B,T_b,T_a)
% 0.80/0.88 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),V_B,tc_fun(T_b,tc_bool))
% 0.80/0.88 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_weaken_0,axiom,
% 0.80/0.88 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 0.80/0.88 | ~ c_lessequals(V_ts,V_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))
% 0.80/0.88 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts_H,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_thin_0,axiom,
% 0.80/0.88 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 0.80/0.88 | ~ c_lessequals(V_G_H,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))
% 0.80/0.88 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_asm_0,axiom,
% 0.80/0.88 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 0.80/0.88 | ~ c_lessequals(V_ts,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_le__funI_0,axiom,
% 0.80/0.88 ( ~ class_HOL_Oord(T_b)
% 0.80/0.88 | c_lessequals(V_f,V_g,tc_fun(T_a,T_b))
% 0.80/0.88 | ~ c_lessequals(hAPP(V_f,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(V_f,V_g,T_a,T_b)),hAPP(V_g,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(V_f,V_g,T_a,T_b)),T_b) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_le__fun__def_1,axiom,
% 0.80/0.88 ( ~ class_HOL_Oord(T_b)
% 0.80/0.88 | c_lessequals(V_f,V_g,tc_fun(T_a,T_b))
% 0.80/0.88 | ~ c_lessequals(hAPP(V_f,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(V_f,V_g,T_a,T_b)),hAPP(V_g,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(V_f,V_g,T_a,T_b)),T_b) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_atLeast__subset__iff_1,axiom,
% 0.80/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.80/0.88 | c_lessequals(c_SetInterval_Oord__class_OatLeast(V_x,T_a),c_SetInterval_Oord__class_OatLeast(V_y,T_a),tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_atLeast__subset__iff_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.80/0.88 | c_lessequals(V_y,V_x,T_a)
% 0.80/0.88 | ~ c_lessequals(c_SetInterval_Oord__class_OatLeast(V_x,T_a),c_SetInterval_Oord__class_OatLeast(V_y,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_atLeastatMost__subset__iff_2,axiom,
% 0.80/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.80/0.88 | c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))
% 0.80/0.88 | c_lessequals(V_a,V_b,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_atLeastatMost__subset__iff_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.80/0.88 | c_lessequals(V_c,V_a,T_a)
% 0.80/0.88 | ~ c_lessequals(V_a,V_b,T_a)
% 0.80/0.88 | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_atLeastatMost__subset__iff_1,axiom,
% 0.80/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.80/0.88 | c_lessequals(V_b,V_d,T_a)
% 0.80/0.88 | ~ c_lessequals(V_a,V_b,T_a)
% 0.80/0.88 | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_atLeastatMost__subset__iff_3,axiom,
% 0.80/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.80/0.88 | c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_lessequals(V_b,V_d,T_a)
% 0.80/0.88 | ~ c_lessequals(V_c,V_a,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_atMost__subset__iff_1,axiom,
% 0.80/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.80/0.88 | c_lessequals(c_SetInterval_Oord__class_OatMost(V_x,T_a),c_SetInterval_Oord__class_OatMost(V_y,T_a),tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_atMost__subset__iff_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.80/0.88 | c_lessequals(V_x,V_y,T_a)
% 0.80/0.88 | ~ c_lessequals(c_SetInterval_Oord__class_OatMost(V_x,T_a),c_SetInterval_Oord__class_OatMost(V_y,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_greaterThan__subset__iff_1,axiom,
% 0.80/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.88 | c_lessequals(c_SetInterval_Oord__class_OgreaterThan(V_x,T_a),c_SetInterval_Oord__class_OgreaterThan(V_y,T_a),tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_greaterThan__subset__iff_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.88 | c_lessequals(V_y,V_x,T_a)
% 0.80/0.88 | ~ c_lessequals(c_SetInterval_Oord__class_OgreaterThan(V_x,T_a),c_SetInterval_Oord__class_OgreaterThan(V_y,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_lessThan__subset__iff_1,axiom,
% 0.80/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.88 | c_lessequals(c_SetInterval_Oord__class_OlessThan(V_x,T_a),c_SetInterval_Oord__class_OlessThan(V_y,T_a),tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_lessThan__subset__iff_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.88 | c_lessequals(V_x,V_y,T_a)
% 0.80/0.88 | ~ c_lessequals(c_SetInterval_Oord__class_OlessThan(V_x,T_a),c_SetInterval_Oord__class_OlessThan(V_y,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_atLeastLessThan__subset__iff_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.88 | c_lessequals(V_c,V_a,T_a)
% 0.80/0.88 | c_lessequals(V_b,V_a,T_a)
% 0.80/0.88 | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_atLeastLessThan__subset__iff_1,axiom,
% 0.80/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.88 | c_lessequals(V_b,V_d,T_a)
% 0.80/0.88 | c_lessequals(V_b,V_a,T_a)
% 0.80/0.88 | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_range__composition_0,axiom,
% 0.80/0.88 c_Set_Oimage(c_COMBB(V_f,V_g,T_c,T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Set_Oimage(V_f,c_Set_Oimage(V_g,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_c),T_c,T_a) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_finite__imageD_0,axiom,
% 0.80/0.88 ( c_Finite__Set_Ofinite(V_A,T_b)
% 0.80/0.88 | ~ c_Fun_Oinj__on(V_f,V_A,T_b,T_a)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_image__Int__subset_0,axiom,
% 0.80/0.88 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)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_image__vimage__subset_0,axiom,
% 0.80/0.88 c_lessequals(c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a),V_A,tc_fun(T_a,tc_bool)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_subset__image__iff_0,axiom,
% 0.80/0.88 ( c_lessequals(c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1(V_A,V_B,V_f,T_b,T_a),V_A,tc_fun(T_b,tc_bool))
% 0.80/0.88 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_image__subset__iff_0,axiom,
% 0.80/0.88 ( c_in(hAPP(V_f,V_x),V_B,T_a)
% 0.80/0.88 | ~ c_in(V_x,V_A,T_b)
% 0.80/0.88 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_image__diff__subset_0,axiom,
% 0.80/0.88 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)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_subset__image__iff_1,axiom,
% 0.80/0.88 ( V_B = c_Set_Oimage(V_f,c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1(V_A,V_B,V_f,T_b,T_a),T_b,T_a)
% 0.80/0.88 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_finite__dom__map__of_0,axiom,
% 0.80/0.88 c_Finite__Set_Ofinite(c_Map_Odom(c_Map_Omap__of(V_l,T_a,T_b),T_a,T_b),T_a) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_map__le__implies__dom__le_0,axiom,
% 0.80/0.88 ( c_lessequals(c_Map_Odom(V_f,T_a,T_b),c_Map_Odom(V_g,T_a,T_b),tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_Map_Omap__le(V_f,V_g,T_a,T_b) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_MGT__Body_0,axiom,
% 0.80/0.88 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(V_Procs,tc_Com_Opname)
% 0.80/0.88 | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(V_G,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),V_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_finite__range__imageI_0,axiom,
% 0.80/0.88 ( c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(V_f,V_g,T_a,T_c,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_c),T_c)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(c_Set_Oimage(V_g,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_finite__subset__image_0,axiom,
% 0.80/0.88 ( c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),V_A,tc_fun(T_b,tc_bool))
% 0.80/0.88 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_endo__inj__surj_0,axiom,
% 0.80/0.88 ( c_Set_Oimage(V_f,V_A,T_a,T_a) = V_A
% 0.80/0.88 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_a)
% 0.80/0.88 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_a),V_A,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_finite__subset__image_1,axiom,
% 0.80/0.88 ( c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b)
% 0.80/0.88 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_finite__subset__image_2,axiom,
% 0.80/0.88 ( V_B = c_Set_Oimage(V_f,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(V_A,V_B,V_f,T_b,T_a),T_b,T_a)
% 0.80/0.88 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_finite__surj__inj_0,axiom,
% 0.80/0.88 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_a)
% 0.80/0.88 | ~ c_lessequals(V_A,c_Set_Oimage(V_f,V_A,T_a,T_a),tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_finite__dom__body_0,axiom,
% 0.80/0.88 c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_linorder__linear_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.88 | c_lessequals(V_y,V_x,T_a)
% 0.80/0.88 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_subset__image__iff_2,axiom,
% 0.80/0.88 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool))
% 0.80/0.88 | 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)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_image__mono_0,axiom,
% 0.80/0.88 ( 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))
% 0.80/0.88 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_rev__finite__subset_0,axiom,
% 0.80/0.88 ( c_Finite__Set_Ofinite(V_A,T_a)
% 0.80/0.88 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_rev__predicate1D_0,axiom,
% 0.80/0.88 ( hBOOL(hAPP(V_Q,V_x))
% 0.80/0.88 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_finite__subset_0,axiom,
% 0.80/0.88 ( c_Finite__Set_Ofinite(V_A,T_a)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(V_B,T_a)
% 0.80/0.88 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_order__eq__refl_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Opreorder(T_a)
% 0.80/0.88 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_order__eq__iff_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.80/0.88 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_predicate1D_0,axiom,
% 0.80/0.88 ( hBOOL(hAPP(V_Q,V_x))
% 0.80/0.88 | ~ hBOOL(hAPP(V_P,V_x))
% 0.80/0.88 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_subset__trans_0,axiom,
% 0.80/0.88 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_subset__refl_0,axiom,
% 0.80/0.88 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_equalityE_0,axiom,
% 0.80/0.88 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_order__trans_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Opreorder(T_a)
% 0.80/0.88 | c_lessequals(V_x,V_z,T_a)
% 0.80/0.88 | ~ c_lessequals(V_y,V_z,T_a)
% 0.80/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_xt1_I6_J_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.80/0.88 | c_lessequals(V_z,V_x,T_a)
% 0.80/0.88 | ~ c_lessequals(V_z,V_y,T_a)
% 0.80/0.88 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_image__image_0,axiom,
% 0.80/0.88 c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_A,T_c,T_b),T_b,T_a) = c_Set_Oimage(c_COMBB(V_f,V_g,T_b,T_a,T_c),V_A,T_c,T_a) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_finite__imageI_0,axiom,
% 0.80/0.88 ( c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b)
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_order__antisym__conv_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.80/0.88 | V_x = V_y
% 0.80/0.88 | ~ c_lessequals(V_x,V_y,T_a)
% 0.80/0.88 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_order__antisym_0,axiom,
% 0.80/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.80/0.88 | V_x = V_y
% 0.80/0.88 | ~ c_lessequals(V_y,V_x,T_a)
% 0.80/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_order__eq__iff_2,axiom,
% 0.80/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.80/0.88 | V_x = V_y
% 0.80/0.88 | ~ c_lessequals(V_y,V_x,T_a)
% 0.80/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_set__eq__subset_2,axiom,
% 0.80/0.88 ( V_A = V_B
% 0.80/0.88 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_equalityI_0,axiom,
% 0.80/0.88 ( V_A = V_B
% 0.80/0.88 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 0.80/0.88 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_state__not__singleton__def_1,axiom,
% 0.80/0.88 ( c_Hoare__Mirabelle_Ostate__not__singleton
% 0.80/0.88 | V_x = V_xa ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_finite__surj_0,axiom,
% 0.80/0.88 ( c_Finite__Set_Ofinite(V_B,T_b)
% 0.80/0.88 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))
% 0.80/0.88 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_COMBB__def_0,axiom,
% 0.80/0.88 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_finite_0,axiom,
% 0.80/0.88 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a)
% 0.80/0.88 | c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_le__funD_0,axiom,
% 0.80/0.88 ( ~ class_HOL_Oord(T_b)
% 0.80/0.88 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)
% 0.80/0.88 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_conjecture_0,negated_conjecture,
% 0.80/0.88 c_Hoare__Mirabelle_Ostate__not__singleton ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_conjecture_1,negated_conjecture,
% 0.80/0.88 c_Com_OWT__bodies ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_conjecture_2,negated_conjecture,
% 0.80/0.88 c_lessequals(v_F,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_conjecture_3,negated_conjecture,
% 0.80/0.88 ~ c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 0.80/0.88 ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))
% 0.80/0.88 | ~ class_Complete__Lattice_Ocomplete__lattice(T_1) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 0.80/0.88 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 0.80/0.88 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
% 0.80/0.88 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))
% 0.80/0.88 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom,
% 0.80/0.88 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))
% 0.80/0.88 | ~ class_Lattices_Odistrib__lattice(T_1) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
% 0.80/0.88 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))
% 0.80/0.88 | ~ class_Lattices_Obounded__lattice(T_1) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_fun__Lattices_Oboolean__algebra,axiom,
% 0.80/0.88 ( class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1))
% 0.80/0.88 | ~ class_Lattices_Oboolean__algebra(T_1) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_fun__Finite__Set_Ofinite_Ofinite,axiom,
% 0.80/0.88 ( class_Finite__Set_Ofinite_Ofinite(tc_fun(T_2,T_1))
% 0.80/0.88 | ~ class_Finite__Set_Ofinite_Ofinite(T_1)
% 0.80/0.88 | ~ class_Finite__Set_Ofinite_Ofinite(T_2) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 0.80/0.88 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 0.80/0.88 | ~ class_Orderings_Opreorder(T_1) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 0.80/0.88 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 0.80/0.88 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 0.80/0.88 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 0.80/0.88 | ~ class_Orderings_Oorder(T_1) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_fun__Orderings_Otop,axiom,
% 0.80/0.88 ( class_Orderings_Otop(tc_fun(T_2,T_1))
% 0.80/0.88 | ~ class_Orderings_Otop(T_1) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_fun__Orderings_Obot,axiom,
% 0.80/0.88 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 0.80/0.88 | ~ class_Orderings_Obot(T_1) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_fun__HOL_Oord,axiom,
% 0.80/0.88 ( class_HOL_Oord(tc_fun(T_2,T_1))
% 0.80/0.88 | ~ class_HOL_Oord(T_1) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
% 0.80/0.88 class_Lattices_Oupper__semilattice(tc_nat) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_nat__Lattices_Olower__semilattice,axiom,
% 0.80/0.88 class_Lattices_Olower__semilattice(tc_nat) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_nat__Lattices_Odistrib__lattice,axiom,
% 0.80/0.88 class_Lattices_Odistrib__lattice(tc_nat) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.80/0.88 class_Orderings_Opreorder(tc_nat) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.80/0.88 class_Orderings_Olinorder(tc_nat) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_nat__Lattices_Olattice,axiom,
% 0.80/0.88 class_Lattices_Olattice(tc_nat) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.80/0.88 class_Orderings_Oorder(tc_nat) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_nat__Orderings_Obot,axiom,
% 0.80/0.88 class_Orderings_Obot(tc_nat) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_nat__HOL_Oord,axiom,
% 0.80/0.88 class_HOL_Oord(tc_nat) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom,
% 0.80/0.88 class_Complete__Lattice_Ocomplete__lattice(tc_bool) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 0.80/0.88 class_Lattices_Oupper__semilattice(tc_bool) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
% 0.80/0.88 class_Lattices_Olower__semilattice(tc_bool) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom,
% 0.80/0.88 class_Lattices_Odistrib__lattice(tc_bool) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
% 0.80/0.88 class_Lattices_Obounded__lattice(tc_bool) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom,
% 0.80/0.88 class_Lattices_Oboolean__algebra(tc_bool) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom,
% 0.80/0.88 class_Finite__Set_Ofinite_Ofinite(tc_bool) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 0.80/0.88 class_Orderings_Opreorder(tc_bool) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 0.80/0.88 class_Lattices_Olattice(tc_bool) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 0.80/0.88 class_Orderings_Oorder(tc_bool) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_bool__Orderings_Otop,axiom,
% 0.80/0.88 class_Orderings_Otop(tc_bool) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_bool__Orderings_Obot,axiom,
% 0.80/0.88 class_Orderings_Obot(tc_bool) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_bool__HOL_Oord,axiom,
% 0.80/0.88 class_HOL_Oord(tc_bool) ).
% 0.80/0.88
% 0.80/0.88 cnf(clsarity_Option__Ooption__Finite__Set_Ofinite_Ofinite,axiom,
% 0.80/0.88 ( class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(T_1))
% 0.80/0.88 | ~ class_Finite__Set_Ofinite_Ofinite(T_1) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_ATP__Linkup_OCOMBC__def_0,axiom,
% 0.80/0.88 c_COMBC(V_P,V_Q,V_R,T_b,T_c,T_a) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_ATP__Linkup_OCOMBB__def_0,axiom,
% 0.80/0.88 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 0.80/0.88 c_fequal(V_x,V_x,T_a) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 0.80/0.88 ( V_X = V_Y
% 0.80/0.88 | ~ c_fequal(V_X,V_Y,T_a) ) ).
% 0.80/0.88
% 0.80/0.88 %------------------------------------------------------------------------------
% 0.80/0.88 %-------------------------------------------
% 0.80/0.88 % Proof found
% 0.80/0.88 % SZS status Theorem for theBenchmark
% 0.80/0.88 % SZS output start Proof
% 0.80/0.88 %ClaNum:798(EqnAxiom:173)
% 0.80/0.88 %VarNum:4922(SingletonVarNum:1846)
% 0.80/0.88 %MaxLitNum:7
% 0.80/0.88 %MaxfuncDepth:5
% 0.80/0.88 %SharedTerms:49
% 0.80/0.88 %goalClause: 174 175 327 335
% 0.80/0.88 %singleGoalClaCount:4
% 0.80/0.88 [174]P1(a500)
% 0.80/0.88 [175]P2(a500)
% 0.80/0.88 [176]P10(a1)
% 0.80/0.88 [177]P10(a46)
% 0.80/0.88 [178]P11(a1)
% 0.80/0.88 [179]P20(a46)
% 0.80/0.88 [180]P21(a1)
% 0.80/0.88 [181]P21(a46)
% 0.80/0.88 [182]P24(a1)
% 0.80/0.88 [183]P24(a46)
% 0.80/0.88 [184]P25(a1)
% 0.80/0.88 [185]P25(a46)
% 0.80/0.88 [186]P22(a1)
% 0.80/0.88 [187]P22(a46)
% 0.80/0.88 [188]P23(a1)
% 0.80/0.88 [189]P12(a1)
% 0.80/0.88 [190]P12(a46)
% 0.80/0.88 [191]P13(a1)
% 0.80/0.88 [192]P31(a1)
% 0.80/0.88 [193]P26(a1)
% 0.80/0.88 [194]P26(a46)
% 0.80/0.88 [195]P19(a1)
% 0.80/0.88 [196]P32(a1)
% 0.80/0.88 [197]P32(a46)
% 0.80/0.88 [212]P6(f28(a13,a41,a42),a41)
% 0.80/0.88 [327]P17(a48,f33(f3(a25,f3(f19(a42),a13,f45(a42),a42,a41),a42,f43(a44),a41),f28(a13,a41,a42),a41,f43(a44)),f47(f43(a44),a1))
% 0.80/0.88 [335]~P6(f33(f3(a25,f3(f19(a42),a13,f45(a42),a42,a41),a42,f43(a44),a41),f28(a13,a41,a42),a41,f43(a44)),f43(a44))
% 0.80/0.88 [202]P4(f12(x2021),x2021,x2021)
% 0.80/0.88 [203]P5(f12(x2031),x2031,x2031)
% 0.80/0.88 [204]P6(f30(f47(x2041,a1)),x2041)
% 0.80/0.88 [213]E(f23(f30(f47(x2131,a1)),f47(x2131,a1)),f31(f47(x2131,a1)))
% 0.80/0.88 [214]E(f23(f31(f47(x2141,a1)),f47(x2141,a1)),f30(f47(x2141,a1)))
% 0.80/0.88 [268]E(f24(f31(f47(x2681,a1)),f12(x2681),x2681,x2681),f12(x2681))
% 0.80/0.88 [328]~E(f31(f47(x3281,a1)),f30(f47(x3281,a1)))
% 0.80/0.88 [201]P14(x2011,x2011,x2012)
% 0.80/0.88 [206]P17(x2061,x2061,f47(x2062,a1))
% 0.80/0.88 [253]P7(f2(x2531),x2532,x2531,x2531)
% 0.80/0.88 [254]P7(f12(x2541),x2542,x2541,x2541)
% 0.80/0.88 [198]E(f11(f2(x1981),x1982),x1982)
% 0.80/0.88 [199]E(f11(f12(x1991),x1992),x1992)
% 0.80/0.88 [200]E(f11(f19(x2001),f20(x2002,x2001)),x2002)
% 0.80/0.88 [207]E(f21(x2071,x2071,f47(x2072,a1)),x2071)
% 0.80/0.88 [208]E(f27(x2081,x2081,f47(x2082,a1)),x2081)
% 0.80/0.88 [209]E(f22(x2091,x2091,f47(x2092,a1)),f30(f47(x2092,a1)))
% 0.80/0.88 [210]P18(x2101,f31(f47(x2102,a1)),x2102)
% 0.80/0.88 [211]E(f23(f23(x2111,f47(x2112,a1)),f47(x2112,a1)),x2111)
% 0.80/0.88 [215]P17(x2151,f31(f47(x2152,a1)),f47(x2152,a1))
% 0.80/0.88 [216]P17(f30(f47(x2161,a1)),x2162,f47(x2161,a1))
% 0.80/0.88 [217]E(f21(x2171,f31(f47(x2172,a1)),f47(x2172,a1)),x2171)
% 0.80/0.88 [218]E(f27(x2181,f30(f47(x2182,a1)),f47(x2182,a1)),x2181)
% 0.80/0.88 [219]E(f22(x2191,f30(f47(x2192,a1)),f47(x2192,a1)),x2191)
% 0.80/0.88 [220]E(f21(f31(f47(x2201,a1)),x2202,f47(x2201,a1)),x2202)
% 0.80/0.88 [221]E(f27(f30(f47(x2211,a1)),x2212,f47(x2211,a1)),x2212)
% 0.80/0.88 [226]E(f21(x2261,f30(f47(x2262,a1)),f47(x2262,a1)),f30(f47(x2262,a1)))
% 0.80/0.88 [227]E(f27(x2271,f31(f47(x2272,a1)),f47(x2272,a1)),f31(f47(x2272,a1)))
% 0.80/0.88 [228]E(f22(x2281,f31(f47(x2282,a1)),f47(x2282,a1)),f30(f47(x2282,a1)))
% 0.80/0.88 [229]E(f21(f30(f47(x2291,a1)),x2292,f47(x2291,a1)),f30(f47(x2291,a1)))
% 0.80/0.88 [230]E(f27(f31(f47(x2301,a1)),x2302,f47(x2301,a1)),f31(f47(x2301,a1)))
% 0.80/0.88 [231]E(f22(f30(f47(x2311,a1)),x2312,f47(x2311,a1)),f30(f47(x2311,a1)))
% 0.80/0.88 [235]E(f22(f31(f47(x2351,a1)),x2352,f47(x2351,a1)),f23(x2352,f47(x2351,a1)))
% 0.80/0.88 [236]E(f21(x2361,f23(x2361,f47(x2362,a1)),f47(x2362,a1)),f30(f47(x2362,a1)))
% 0.80/0.88 [237]E(f27(x2371,f23(x2371,f47(x2372,a1)),f47(x2372,a1)),f31(f47(x2372,a1)))
% 0.80/0.88 [238]E(f21(f23(x2381,f47(x2382,a1)),x2381,f47(x2382,a1)),f30(f47(x2382,a1)))
% 0.80/0.88 [239]E(f27(f23(x2391,f47(x2392,a1)),x2391,f47(x2392,a1)),f31(f47(x2392,a1)))
% 0.80/0.88 [255]E(f33(f2(x2551),x2552,x2551,x2551),x2552)
% 0.80/0.88 [256]E(f33(f12(x2561),x2562,x2561,x2561),x2562)
% 0.80/0.88 [257]E(f40(f2(x2571),x2572,x2571,x2571),x2572)
% 0.80/0.88 [258]E(f40(f12(x2581),x2582,x2581,x2581),x2582)
% 0.80/0.88 [333]~P18(x3331,f30(f47(x3332,a1)),x3332)
% 0.80/0.88 [222]P9(x2221,f30(f47(f43(x2222),a1)),x2222)
% 0.80/0.88 [223]P33(f11(f31(f47(x2231,a1)),x2232))
% 0.80/0.88 [334]~P33(f11(f30(f47(x3341,a1)),x3342))
% 0.80/0.88 [252]P15(x2521,x2521,x2522,x2523)
% 0.80/0.88 [234]P18(x2341,f32(x2341,x2342,x2343),x2343)
% 0.80/0.88 [241]P17(x2411,f32(x2412,x2411,x2413),f47(x2413,a1))
% 0.80/0.88 [224]E(f21(x2241,x2242,f47(x2243,a1)),f21(x2242,x2241,f47(x2243,a1)))
% 0.80/0.88 [225]E(f27(x2251,x2252,f47(x2253,a1)),f27(x2252,x2251,f47(x2253,a1)))
% 0.80/0.88 [243]E(f32(x2431,f32(x2431,x2432,x2433),x2433),f32(x2431,x2432,x2433))
% 0.80/0.88 [244]E(f21(x2441,f23(x2442,f47(x2443,a1)),f47(x2443,a1)),f22(x2441,x2442,f47(x2443,a1)))
% 0.80/0.88 [245]E(f22(x2451,f23(x2452,f47(x2453,a1)),f47(x2453,a1)),f21(x2451,x2452,f47(x2453,a1)))
% 0.80/0.88 [246]P17(x2461,f27(x2462,x2461,f47(x2463,a1)),f47(x2463,a1))
% 0.80/0.88 [247]P17(x2471,f27(x2471,x2472,f47(x2473,a1)),f47(x2473,a1))
% 0.80/0.88 [248]P17(f21(x2481,x2482,f47(x2483,a1)),x2482,f47(x2483,a1))
% 0.80/0.88 [249]P17(f21(x2491,x2492,f47(x2493,a1)),x2491,f47(x2493,a1))
% 0.80/0.88 [250]P17(f22(x2501,x2502,f47(x2503,a1)),x2501,f47(x2503,a1))
% 0.80/0.88 [251]P33(f11(f32(x2511,x2512,x2513),x2511))
% 0.80/0.88 [259]E(f21(x2591,f22(x2592,x2591,f47(x2593,a1)),f47(x2593,a1)),f30(f47(x2593,a1)))
% 0.80/0.88 [261]P7(x2611,f30(f47(x2612,a1)),x2612,x2613)
% 0.80/0.88 [263]E(f21(x2631,f21(x2631,x2632,f47(x2633,a1)),f47(x2633,a1)),f21(x2631,x2632,f47(x2633,a1)))
% 0.80/0.88 [264]E(f27(x2641,f27(x2641,x2642,f47(x2643,a1)),f47(x2643,a1)),f27(x2641,x2642,f47(x2643,a1)))
% 0.80/0.88 [265]E(f27(x2651,f22(x2652,x2651,f47(x2653,a1)),f47(x2653,a1)),f27(x2651,x2652,f47(x2653,a1)))
% 0.80/0.88 [266]E(f27(f22(x2661,x2662,f47(x2663,a1)),x2662,f47(x2663,a1)),f27(x2661,x2662,f47(x2663,a1)))
% 0.80/0.88 [267]E(f22(f22(x2671,x2672,f47(x2673,a1)),x2672,f47(x2673,a1)),f22(x2671,x2672,f47(x2673,a1)))
% 0.80/0.88 [274]P6(f28(f29(x2741,x2742,x2743),x2742,x2743),x2742)
% 0.80/0.88 [275]E(f27(f23(x2751,f47(x2752,a1)),x2753,f47(x2752,a1)),f23(f22(x2751,x2753,f47(x2752,a1)),f47(x2752,a1)))
% 0.80/0.88 [276]E(f27(f32(x2761,f30(f47(x2762,a1)),x2762),x2763,f47(x2762,a1)),f32(x2761,x2763,x2762))
% 0.80/0.88 [277]E(f27(f22(x2771,x2772,f47(x2773,a1)),f21(x2771,x2772,f47(x2773,a1)),f47(x2773,a1)),x2771)
% 0.80/0.88 [280]E(f27(f23(x2801,f47(x2802,a1)),f23(x2803,f47(x2802,a1)),f47(x2802,a1)),f23(f21(x2801,x2803,f47(x2802,a1)),f47(x2802,a1)))
% 0.80/0.88 [281]E(f21(f23(x2811,f47(x2812,a1)),f23(x2813,f47(x2812,a1)),f47(x2812,a1)),f23(f27(x2811,x2813,f47(x2812,a1)),f47(x2812,a1)))
% 0.80/0.88 [306]E(f14(x3061,f12(x3062),x3062,x3063,x3062),x3061)
% 0.80/0.88 [307]E(f14(f12(x3071),x3072,x3071,x3071,x3073),x3072)
% 0.80/0.88 [329]~E(f32(x3291,x3292,x3293),f30(f47(x3293,a1)))
% 0.80/0.88 [330]~E(f30(f47(x3301,a1)),f32(x3302,x3303,x3301))
% 0.80/0.88 [271]E(f33(x2711,f30(f47(x2712,a1)),x2712,x2713),f30(f47(x2713,a1)))
% 0.80/0.88 [272]E(f40(x2721,f30(f47(x2722,a1)),x2723,x2722),f30(f47(x2723,a1)))
% 0.80/0.88 [273]E(f40(x2731,f31(f47(x2732,a1)),x2733,x2732),f31(f47(x2733,a1)))
% 0.80/0.88 [301]E(f32(x3011,f22(x3012,f32(x3011,f30(f47(x3013,a1)),x3013),f47(x3013,a1)),x3013),f32(x3011,x3012,x3013))
% 0.80/0.88 [269]E(f32(x2691,f32(x2692,x2693,x2694),x2694),f32(x2692,f32(x2691,x2693,x2694),x2694))
% 0.80/0.89 [282]E(f21(x2821,f21(x2822,x2823,f47(x2824,a1)),f47(x2824,a1)),f21(x2822,f21(x2821,x2823,f47(x2824,a1)),f47(x2824,a1)))
% 0.80/0.89 [283]E(f27(x2831,f27(x2832,x2833,f47(x2834,a1)),f47(x2834,a1)),f27(x2832,f27(x2831,x2833,f47(x2834,a1)),f47(x2834,a1)))
% 0.80/0.89 [284]E(f21(f21(x2841,x2842,f47(x2843,a1)),x2844,f47(x2843,a1)),f21(x2841,f21(x2842,x2844,f47(x2843,a1)),f47(x2843,a1)))
% 0.80/0.89 [285]E(f27(f27(x2851,x2852,f47(x2853,a1)),x2854,f47(x2853,a1)),f27(x2851,f27(x2852,x2854,f47(x2853,a1)),f47(x2853,a1)))
% 0.80/0.89 [286]E(f22(f21(x2861,x2862,f47(x2863,a1)),x2864,f47(x2863,a1)),f21(x2861,f22(x2862,x2864,f47(x2863,a1)),f47(x2863,a1)))
% 0.80/0.89 [289]E(f27(f21(x2891,x2892,f47(x2893,a1)),f21(x2891,x2894,f47(x2893,a1)),f47(x2893,a1)),f21(x2891,f27(x2892,x2894,f47(x2893,a1)),f47(x2893,a1)))
% 0.80/0.89 [290]E(f22(f21(x2901,x2902,f47(x2903,a1)),f21(x2901,x2904,f47(x2903,a1)),f47(x2903,a1)),f21(x2901,f22(x2902,x2904,f47(x2903,a1)),f47(x2903,a1)))
% 0.80/0.89 [291]E(f21(f27(x2911,x2912,f47(x2913,a1)),f27(x2911,x2914,f47(x2913,a1)),f47(x2913,a1)),f27(x2911,f21(x2912,x2914,f47(x2913,a1)),f47(x2913,a1)))
% 0.80/0.89 [292]E(f27(f22(x2921,x2922,f47(x2923,a1)),f22(x2921,x2924,f47(x2923,a1)),f47(x2923,a1)),f22(x2921,f21(x2922,x2924,f47(x2923,a1)),f47(x2923,a1)))
% 0.80/0.89 [293]E(f21(f22(x2931,x2932,f47(x2933,a1)),f22(x2931,x2934,f47(x2933,a1)),f47(x2933,a1)),f22(x2931,f27(x2932,x2934,f47(x2933,a1)),f47(x2933,a1)))
% 0.80/0.89 [294]E(f27(f21(x2941,x2942,f47(x2943,a1)),f21(x2944,x2942,f47(x2943,a1)),f47(x2943,a1)),f21(f27(x2941,x2944,f47(x2943,a1)),x2942,f47(x2943,a1)))
% 0.80/0.89 [295]E(f22(f21(x2951,x2952,f47(x2953,a1)),f21(x2954,x2952,f47(x2953,a1)),f47(x2953,a1)),f21(f22(x2951,x2954,f47(x2953,a1)),x2952,f47(x2953,a1)))
% 0.80/0.89 [296]E(f21(f27(x2961,x2962,f47(x2963,a1)),f27(x2964,x2962,f47(x2963,a1)),f47(x2963,a1)),f27(f21(x2961,x2964,f47(x2963,a1)),x2962,f47(x2963,a1)))
% 0.80/0.89 [297]E(f27(f22(x2971,x2972,f47(x2973,a1)),f22(x2974,x2972,f47(x2973,a1)),f47(x2973,a1)),f22(f27(x2971,x2974,f47(x2973,a1)),x2972,f47(x2973,a1)))
% 0.80/0.89 [298]E(f22(f21(x2981,x2982,f47(x2983,a1)),f21(x2984,x2982,f47(x2983,a1)),f47(x2983,a1)),f22(f21(x2981,x2982,f47(x2983,a1)),x2984,f47(x2983,a1)))
% 0.80/0.89 [299]E(f22(f22(x2991,x2992,f47(x2993,a1)),f32(x2994,f30(f47(x2993,a1)),x2993),f47(x2993,a1)),f22(x2991,f32(x2994,x2992,x2993),f47(x2993,a1)))
% 0.80/0.89 [302]E(f22(f22(x3021,f32(x3022,f30(f47(x3023,a1)),x3023),f47(x3023,a1)),x3024,f47(x3023,a1)),f22(x3021,f32(x3022,x3024,x3023),f47(x3023,a1)))
% 0.80/0.89 [308]E(f33(x3081,f40(x3081,x3082,x3083,x3084),x3083,x3084),f21(x3082,f33(x3081,f31(f47(x3083,a1)),x3083,x3084),f47(x3084,a1)))
% 0.80/0.89 [313]P17(f33(x3131,f40(x3131,x3132,x3133,x3134),x3133,x3134),x3132,f47(x3134,a1))
% 0.80/0.89 [315]E(f27(f27(f21(x3151,x3152,f47(x3153,a1)),f21(x3152,x3154,f47(x3153,a1)),f47(x3153,a1)),f21(x3154,x3151,f47(x3153,a1)),f47(x3153,a1)),f21(f21(f27(x3151,x3152,f47(x3153,a1)),f27(x3152,x3154,f47(x3153,a1)),f47(x3153,a1)),f27(x3154,x3151,f47(x3153,a1)),f47(x3153,a1)))
% 0.80/0.89 [278]E(f32(x2781,f27(x2782,x2783,f47(x2784,a1)),x2784),f27(x2782,f32(x2781,x2783,x2784),f47(x2784,a1)))
% 0.80/0.89 [279]E(f32(x2791,f27(x2792,x2793,f47(x2794,a1)),x2794),f27(f32(x2791,x2792,x2794),x2793,f47(x2794,a1)))
% 0.80/0.89 [287]E(f21(f32(x2871,x2872,x2873),f32(x2871,x2874,x2873),f47(x2873,a1)),f32(x2871,f21(x2872,x2874,f47(x2873,a1)),x2873))
% 0.80/0.89 [300]P18(f11(x3001,x3002),f33(x3001,f31(f47(x3003,a1)),x3003,x3004),x3004)
% 0.80/0.89 [303]E(f40(x3031,f23(x3032,f47(x3033,a1)),x3034,x3033),f23(f40(x3031,x3032,x3034,x3033),f47(x3034,a1)))
% 0.80/0.89 [305]P18(x3051,f40(x3052,f32(f11(x3052,x3051),f30(f47(x3053,a1)),x3053),x3054,x3053),x3054)
% 0.80/0.89 [304]E(f33(x3041,f32(x3042,x3043,x3044),x3044,x3045),f32(f11(x3041,x3042),f33(x3041,x3043,x3044,x3045),x3045))
% 0.80/0.89 [314]E(f27(f40(x3141,f32(x3142,f30(f47(x3143,a1)),x3143),x3144,x3143),f40(x3141,x3145,x3144,x3143),f47(x3144,a1)),f40(x3141,f32(x3142,x3145,x3143),x3144,x3143))
% 0.80/0.89 [309]E(f27(f33(x3091,x3092,x3093,x3094),f33(x3091,x3095,x3093,x3094),f47(x3094,a1)),f33(x3091,f27(x3092,x3095,f47(x3093,a1)),x3093,x3094))
% 0.80/0.89 [310]E(f21(f40(x3101,x3102,x3103,x3104),f40(x3101,x3105,x3103,x3104),f47(x3103,a1)),f40(x3101,f21(x3102,x3105,f47(x3104,a1)),x3103,x3104))
% 0.80/0.89 [311]E(f27(f40(x3111,x3112,x3113,x3114),f40(x3111,x3115,x3113,x3114),f47(x3113,a1)),f40(x3111,f27(x3112,x3115,f47(x3114,a1)),x3113,x3114))
% 0.80/0.89 [312]E(f22(f40(x3121,x3122,x3123,x3124),f40(x3121,x3125,x3123,x3124),f47(x3123,a1)),f40(x3121,f22(x3122,x3125,f47(x3124,a1)),x3123,x3124))
% 0.80/0.89 [320]P17(f33(x3201,f21(x3202,x3203,f47(x3204,a1)),x3204,x3205),f21(f33(x3201,x3202,x3204,x3205),f33(x3201,x3203,x3204,x3205),f47(x3205,a1)),f47(x3205,a1))
% 0.80/0.89 [321]P17(f22(f33(x3211,x3212,x3213,x3214),f33(x3211,x3215,x3213,x3214),f47(x3214,a1)),f33(x3211,f22(x3212,x3215,f47(x3213,a1)),x3213,x3214),f47(x3214,a1))
% 0.80/0.89 [325]E(f33(f3(x3251,x3252,x3253,x3254,x3255),f31(f47(x3255,a1)),x3255,x3254),f33(x3251,f33(x3252,f31(f47(x3255,a1)),x3255,x3253),x3253,x3254))
% 0.80/0.89 [317]E(f11(f14(x3171,x3172,x3173,x3174,x3175),x3176),f11(x3171,f11(x3172,x3176)))
% 0.80/0.89 [319]E(f11(f3(x3191,x3192,x3193,x3194,x3195),x3196),f11(x3191,f11(x3192,x3196)))
% 0.80/0.89 [322]E(f33(x3221,f33(x3222,x3223,x3224,x3225),x3225,x3226),f33(f3(x3221,x3222,x3225,x3226,x3224),x3223,x3224,x3226))
% 0.80/0.89 [323]E(f33(f14(x3231,x3232,x3233,x3234,x3235),x3236,x3235,x3234),f33(x3231,f33(x3232,x3236,x3235,x3233),x3233,x3234))
% 0.80/0.89 [324]E(f40(f14(x3241,x3242,x3243,x3244,x3245),x3246,x3245,x3244),f40(x3242,f40(x3241,x3246,x3243,x3244),x3245,x3243))
% 0.80/0.89 [326]E(f14(x3261,f14(x3262,x3263,x3264,x3265,x3266),x3265,x3267,x3266),f14(f14(x3261,x3262,x3265,x3267,x3264),x3263,x3264,x3267,x3266))
% 0.80/0.89 [337]~E(f49(x3371),x3371)+~P1(a500)
% 0.80/0.89 [338]~P19(x3381)+P19(f45(x3381))
% 0.80/0.89 [340]~P11(x3401)+E(f23(f30(x3401),x3401),f31(x3401))
% 0.80/0.89 [341]~P11(x3411)+E(f23(f31(x3411),x3411),f30(x3411))
% 0.80/0.89 [339]~P19(x3392)+P6(x3391,x3392)
% 0.80/0.89 [369]~P10(x3692)+P17(x3691,x3691,x3692)
% 0.80/0.89 [370]~P32(x3702)+P17(x3701,x3701,x3702)
% 0.80/0.89 [342]~P10(x3422)+P10(f47(x3421,x3422))
% 0.80/0.89 [343]~P11(x3432)+P11(f47(x3431,x3432))
% 0.80/0.89 [344]~P21(x3442)+P21(f47(x3441,x3442))
% 0.80/0.89 [345]~P21(x3452)+P24(f47(x3451,x3452))
% 0.80/0.89 [346]~P21(x3462)+P25(f47(x3461,x3462))
% 0.80/0.89 [347]~P22(x3472)+P22(f47(x3471,x3472))
% 0.80/0.89 [348]~P23(x3482)+P23(f47(x3481,x3482))
% 0.80/0.89 [349]~P12(x3492)+P12(f47(x3491,x3492))
% 0.80/0.89 [350]~P13(x3502)+P13(f47(x3501,x3502))
% 0.80/0.89 [351]~P31(x3512)+P31(f47(x3511,x3512))
% 0.80/0.89 [352]~P26(x3522)+P26(f47(x3521,x3522))
% 0.80/0.89 [353]~P32(x3532)+P32(f47(x3531,x3532))
% 0.80/0.89 [354]E(x3541,x3542)+~E(f11(a15,x3541),f11(a15,x3542))
% 0.80/0.89 [371]~P24(x3712)+E(f21(x3711,x3711,x3712),x3711)
% 0.80/0.89 [372]~P25(x3722)+E(f27(x3721,x3721,x3722),x3721)
% 0.80/0.89 [373]~P31(x3732)+P17(x3731,f31(x3732),x3732)
% 0.80/0.89 [374]~P26(x3741)+P17(f30(x3741),x3742,x3741)
% 0.80/0.89 [360]~P11(x3602)+E(f23(f23(x3601,x3602),x3602),x3601)
% 0.80/0.89 [362]~P27(x3622)+E(f23(f23(x3621,x3622),x3622),x3621)
% 0.80/0.89 [375]~P23(x3752)+E(f21(x3751,f31(x3752),x3752),x3751)
% 0.80/0.89 [376]~P23(x3762)+E(f27(x3761,f30(x3762),x3762),x3761)
% 0.80/0.89 [377]~P23(x3771)+E(f21(f31(x3771),x3772,x3771),x3772)
% 0.80/0.89 [378]~P23(x3781)+E(f27(f30(x3781),x3782,x3781),x3782)
% 0.80/0.89 [379]~P23(x3792)+E(f21(x3791,f30(x3792),x3792),f30(x3792))
% 0.80/0.89 [380]~P23(x3802)+E(f27(x3801,f31(x3802),x3802),f31(x3802))
% 0.80/0.89 [381]~P23(x3811)+E(f21(f30(x3811),x3812,x3811),f30(x3811))
% 0.80/0.89 [382]~P23(x3821)+E(f27(f31(x3821),x3822,x3821),f31(x3821))
% 0.80/0.89 [384]~P20(x3842)+E(f23(f34(x3841,x3842),f47(x3842,a1)),f35(x3841,x3842))
% 0.80/0.89 [385]~P20(x3852)+E(f23(f35(x3851,x3852),f47(x3852,a1)),f34(x3851,x3852))
% 0.80/0.89 [386]~P20(x3862)+E(f23(f36(x3861,x3862),f47(x3862,a1)),f39(x3861,x3862))
% 0.80/0.89 [387]~P20(x3872)+E(f23(f39(x3871,x3872),f47(x3872,a1)),f36(x3871,x3872))
% 0.80/0.89 [389]~P11(x3892)+E(f21(x3891,f23(x3891,x3892),x3892),f30(x3892))
% 0.80/0.89 [390]~P11(x3902)+E(f27(x3901,f23(x3901,x3902),x3902),f31(x3902))
% 0.80/0.89 [391]~P11(x3912)+E(f21(f23(x3911,x3912),x3911,x3912),f30(x3912))
% 0.80/0.89 [392]~P11(x3922)+E(f27(f23(x3921,x3922),x3921,x3922),f31(x3922))
% 0.80/0.89 [489]~P17(x4891,f30(f47(x4892,a1)),f47(x4892,a1))+E(x4891,f30(f47(x4892,a1)))
% 0.80/0.89 [517]~P17(x5171,f23(x5171,f47(x5172,a1)),f47(x5172,a1))+E(x5171,f30(f47(x5172,a1)))
% 0.80/0.89 [572]~P20(x5722)+E(f27(f34(x5721,x5722),f32(x5721,f30(f47(x5722,a1)),x5722),f47(x5722,a1)),f36(x5721,x5722))
% 0.80/0.89 [573]~P20(x5732)+E(f27(f32(x5731,f30(f47(x5732,a1)),x5732),f39(x5731,x5732),f47(x5732,a1)),f35(x5731,x5732))
% 0.80/0.89 [745]P9(x7451,f32(f11(a25,f11(a15,x7452)),f30(f47(f43(a44),a1)),f43(a44)),a44)+~P9(f32(f11(a25,f11(a15,x7452)),x7451,f43(a44)),f32(f11(a25,f11(f19(a42),f11(a13,x7452))),f30(f47(f43(a44),a1)),f43(a44)),a44)
% 0.80/0.89 [421]~P10(x4212)+E(f37(x4211,x4211,x4212),f32(x4211,f30(f47(x4212,a1)),x4212))
% 0.80/0.89 [500]~P10(x5002)+E(f21(f36(x5001,x5002),f35(x5001,x5002),f47(x5002,a1)),f32(x5001,f30(f47(x5002,a1)),x5002))
% 0.80/0.89 [613]~P10(x6132)+E(f22(f32(x6131,f30(f47(x6132,a1)),x6132),f34(x6131,x6132),f47(x6132,a1)),f32(x6131,f30(f47(x6132,a1)),x6132))
% 0.80/0.89 [490]~P20(x4902)+E(f16(f32(x4901,f30(f47(x4902,a1)),x4902),x4902),x4901)
% 0.80/0.89 [491]~P20(x4912)+E(f18(f32(x4911,f30(f47(x4912,a1)),x4912),x4912),x4911)
% 0.80/0.89 [388]E(x3881,x3882)+~P14(x3881,x3882,x3883)
% 0.80/0.89 [407]~P5(x4071,x4072,x4073)+P4(x4071,x4072,x4073)
% 0.80/0.89 [357]E(x3571,x3572)+~E(f20(x3571,x3573),f20(x3572,x3573))
% 0.80/0.89 [393]P18(x3931,x3932,x3933)+~P33(f11(x3932,x3931))
% 0.80/0.89 [398]~P21(x3983)+E(f21(x3981,x3982,x3983),f21(x3982,x3981,x3983))
% 0.80/0.89 [399]~P24(x3993)+E(f21(x3991,x3992,x3993),f21(x3992,x3991,x3993))
% 0.80/0.89 [400]~P21(x4003)+E(f27(x4001,x4002,x4003),f27(x4002,x4001,x4003))
% 0.80/0.89 [401]~P25(x4013)+E(f27(x4011,x4012,x4013),f27(x4012,x4011,x4013))
% 0.80/0.89 [402]~P18(x4022,x4021,x4023)+P33(f11(x4021,x4022))
% 0.80/0.89 [408]~P18(x4081,x4082,x4083)+E(f32(x4081,x4082,x4083),x4082)
% 0.80/0.89 [412]~P6(x4122,x4123)+P6(f32(x4121,x4122,x4123),x4123)
% 0.80/0.89 [422]~P21(x4223)+P17(x4221,f27(x4222,x4221,x4223),x4223)
% 0.80/0.89 [423]~P25(x4233)+P17(x4231,f27(x4232,x4231,x4233),x4233)
% 0.80/0.89 [424]~P21(x4243)+P17(x4241,f27(x4241,x4242,x4243),x4243)
% 0.80/0.89 [425]~P25(x4253)+P17(x4251,f27(x4251,x4252,x4253),x4253)
% 0.80/0.89 [426]~P21(x4263)+P17(f21(x4261,x4262,x4263),x4262,x4263)
% 0.80/0.89 [427]~P24(x4273)+P17(f21(x4271,x4272,x4273),x4272,x4273)
% 0.80/0.89 [428]~P21(x4283)+P17(f21(x4281,x4282,x4283),x4281,x4283)
% 0.80/0.89 [429]~P24(x4293)+P17(f21(x4291,x4292,x4293),x4291,x4293)
% 0.80/0.89 [463]P6(x4631,x4632)+~P6(f32(x4633,x4631,x4632),x4632)
% 0.80/0.89 [404]E(x4041,x4042)+~E(f23(x4041,f47(x4043,a1)),f23(x4042,f47(x4043,a1)))
% 0.80/0.89 [409]~P11(x4093)+E(f21(x4091,f23(x4092,x4093),x4093),f22(x4091,x4092,x4093))
% 0.80/0.89 [430]~P21(x4303)+E(f21(x4301,f27(x4301,x4302,x4303),x4303),x4301)
% 0.80/0.89 [431]~P21(x4313)+E(f27(x4311,f21(x4311,x4312,x4313),x4313),x4311)
% 0.80/0.89 [438]P18(x4381,x4382,x4383)+P18(x4381,f23(x4382,f47(x4383,a1)),x4383)
% 0.80/0.89 [442]~P28(x4423)+E(f23(f22(x4421,x4422,x4423),x4423),f22(x4422,x4421,x4423))
% 0.80/0.89 [446]~P6(x4462,x4463)+P6(f21(x4461,x4462,f47(x4463,a1)),x4463)
% 0.80/0.89 [447]~P6(x4471,x4473)+P6(f21(x4471,x4472,f47(x4473,a1)),x4473)
% 0.80/0.89 [448]~P6(x4481,x4483)+P6(f22(x4481,x4482,f47(x4483,a1)),x4483)
% 0.80/0.89 [449]E(x4491,f30(f47(x4492,a1)))+~E(f27(x4493,x4491,f47(x4492,a1)),f30(f47(x4492,a1)))
% 0.80/0.89 [450]E(x4501,f30(f47(x4502,a1)))+~E(f27(x4501,x4503,f47(x4502,a1)),f30(f47(x4502,a1)))
% 0.80/0.89 [451]P9(x4511,x4512,x4513)+~P17(x4512,x4511,f47(f43(x4513),a1))
% 0.80/0.89 [458]~P17(x4582,x4581,f47(x4583,a1))+E(f21(x4581,x4582,f47(x4583,a1)),x4582)
% 0.80/0.89 [459]~P17(x4591,x4592,f47(x4593,a1))+E(f21(x4591,x4592,f47(x4593,a1)),x4591)
% 0.80/0.89 [460]~P17(x4601,x4602,f47(x4603,a1))+E(f27(x4601,x4602,f47(x4603,a1)),x4602)
% 0.80/0.89 [461]~P17(x4612,x4611,f47(x4613,a1))+E(f27(x4611,x4612,f47(x4613,a1)),x4611)
% 0.80/0.89 [462]P17(x4621,x4622,f47(x4623,a1))+~E(f27(x4621,x4622,f47(x4623,a1)),x4622)
% 0.80/0.89 [478]~P21(x4783)+E(f21(x4781,f21(x4781,x4782,x4783),x4783),f21(x4781,x4782,x4783))
% 0.80/0.89 [479]~P24(x4793)+E(f21(x4791,f21(x4791,x4792,x4793),x4793),f21(x4791,x4792,x4793))
% 0.80/0.89 [480]~P21(x4803)+E(f27(x4801,f27(x4801,x4802,x4803),x4803),f27(x4801,x4802,x4803))
% 0.80/0.89 [481]~P25(x4813)+E(f27(x4811,f27(x4811,x4812,x4813),x4813),f27(x4811,x4812,x4813))
% 0.80/0.89 [492]~P11(x4922)+E(f27(f23(x4921,x4922),f23(x4923,x4922),x4922),f23(f21(x4921,x4923,x4922),x4922))
% 0.80/0.89 [493]~P30(x4932)+E(f27(f23(x4931,x4932),f23(x4933,x4932),x4932),f23(f21(x4931,x4933,x4932),x4932))
% 0.80/0.89 [494]~P11(x4942)+E(f21(f23(x4941,x4942),f23(x4943,x4942),x4942),f23(f27(x4941,x4943,x4942),x4942))
% 0.80/0.89 [495]~P30(x4952)+E(f21(f23(x4951,x4952),f23(x4953,x4952),x4952),f23(f27(x4951,x4953,x4952),x4952))
% 0.80/0.89 [499]E(f22(x4991,x4992,f47(x4993,a1)),x4991)+~E(f21(x4991,x4992,f47(x4993,a1)),f30(f47(x4993,a1)))
% 0.80/0.89 [502]~P10(x5022)+E(f21(f34(x5021,x5022),f37(x5021,x5023,x5022),f47(x5022,a1)),f30(f47(x5022,a1)))
% 0.80/0.89 [503]~P10(x5032)+E(f21(f34(x5031,x5032),f38(x5031,x5033,x5032),f47(x5032,a1)),f30(f47(x5032,a1)))
% 0.80/0.89 [504]~P10(x5043)+E(f21(f37(x5041,x5042,x5043),f39(x5042,x5043),f47(x5043,a1)),f30(f47(x5043,a1)))
% 0.80/0.89 [505]~P10(x5053)+E(f21(f38(x5051,x5052,x5053),f35(x5052,x5053),f47(x5053,a1)),f30(f47(x5053,a1)))
% 0.80/0.89 [510]~P16(f11(a15,x5101),x5102,x5103)+P16(f11(f19(a42),f11(a13,x5101)),x5102,x5103)
% 0.80/0.89 [526]P6(x5261,x5262)+~P6(f27(x5263,x5261,f47(x5262,a1)),x5262)
% 0.80/0.89 [527]P6(x5271,x5272)+~P6(f27(x5271,x5273,f47(x5272,a1)),x5272)
% 0.80/0.89 [531]~P18(x5311,x5312,x5313)+~P18(x5311,f23(x5312,f47(x5313,a1)),x5313)
% 0.80/0.89 [534]P16(f11(a15,x5341),x5342,x5343)+~P16(f11(f19(a42),f11(a13,x5341)),x5342,x5343)
% 0.80/0.89 [543]P17(x5431,f23(x5432,f47(x5433,a1)),f47(x5433,a1))+~E(f21(x5431,x5432,f47(x5433,a1)),f30(f47(x5433,a1)))
% 0.80/0.89 [576]~P17(x5761,f23(x5762,f47(x5763,a1)),f47(x5763,a1))+E(f21(x5761,x5762,f47(x5763,a1)),f30(f47(x5763,a1)))
% 0.80/0.89 [584]~P17(x5843,x5841,f47(x5842,a1))+P17(f23(x5841,f47(x5842,a1)),f23(x5843,f47(x5842,a1)),f47(x5842,a1))
% 0.80/0.89 [589]~P17(x5891,x5892,f47(x5893,a1))+E(f27(x5891,f22(x5892,x5891,f47(x5893,a1)),f47(x5893,a1)),x5892)
% 0.80/0.89 [602]~P5(x6021,x6022,x6023)+P7(x6021,f31(f47(x6022,a1)),x6022,x6023)
% 0.80/0.89 [612]P17(x6121,x6122,f47(x6123,a1))+~P17(f23(x6122,f47(x6123,a1)),f23(x6121,f47(x6123,a1)),f47(x6123,a1))
% 0.80/0.89 [626]P18(x6261,x6262,x6263)+E(f22(f32(x6261,x6262,x6263),f32(x6261,f30(f47(x6263,a1)),x6263),f47(x6263,a1)),x6262)
% 0.80/0.89 [532]~P30(x5322)+E(f23(f27(f23(x5321,x5322),f23(x5323,x5322),x5322),x5322),f21(x5321,x5323,x5322))
% 0.80/0.89 [533]~P30(x5332)+E(f23(f21(f23(x5331,x5332),f23(x5333,x5332),x5332),x5332),f27(x5331,x5333,x5332))
% 0.80/0.89 [574]E(x5741,x5742)+~E(f32(x5741,f30(f47(x5743,a1)),x5743),f32(x5742,f30(f47(x5743,a1)),x5743))
% 0.80/0.89 [605]~P4(x6051,x6052,x6053)+E(f33(x6051,f31(f47(x6052,a1)),x6052,x6053),f31(f47(x6053,a1)))
% 0.80/0.89 [609]E(x6091,x6092)+~P18(x6091,f32(x6092,f30(f47(x6093,a1)),x6093),x6093)
% 0.80/0.89 [678]~P18(x6781,x6782,x6783)+E(f32(x6781,f22(x6782,f32(x6781,f30(f47(x6783,a1)),x6783),f47(x6783,a1)),x6783),x6782)
% 0.80/0.89 [679]~P5(x6792,x6791,x6793)+P5(f24(f31(f47(x6791,a1)),x6792,x6791,x6793),x6793,x6791)
% 0.80/0.89 [705]~P4(x7052,x7051,x7053)+P7(f24(f31(f47(x7051,a1)),x7052,x7051,x7053),f31(f47(x7053,a1)),x7053,x7051)
% 0.80/0.89 [717]~P7(x7172,f31(f47(x7171,a1)),x7171,x7173)+P4(f24(f31(f47(x7171,a1)),x7172,x7171,x7173),x7173,x7171)
% 0.80/0.89 [706]~P5(x7063,x7062,x7061)+E(f24(f31(f47(x7061,a1)),f24(f31(f47(x7062,a1)),x7063,x7062,x7061),x7061,x7062),x7063)
% 0.80/0.89 [748]~P4(x7481,x7482,x7483)+E(f14(x7481,f24(f31(f47(x7482,a1)),x7481,x7482,x7483),x7482,x7483,x7483),f12(x7483))
% 0.80/0.89 [762]~P7(x7622,f31(f47(x7621,a1)),x7621,x7623)+E(f14(f24(f31(f47(x7621,a1)),x7622,x7621,x7623),x7622,x7623,x7621,x7621),f12(x7621))
% 0.80/0.89 [769]P4(x7691,x7692,x7693)+~E(f14(x7691,f24(f31(f47(x7692,a1)),x7691,x7692,x7693),x7692,x7693,x7693),f12(x7693))
% 0.80/0.89 [773]P7(x7731,f31(f47(x7732,a1)),x7732,x7733)+~E(f14(f24(f31(f47(x7732,a1)),x7731,x7732,x7733),x7731,x7733,x7732,x7732),f12(x7732))
% 0.80/0.89 [509]~P18(x5091,x5093,x5094)+P18(x5091,f32(x5092,x5093,x5094),x5094)
% 0.80/0.89 [541]~P17(x5411,x5413,f47(x5414,a1))+P17(x5411,f32(x5412,x5413,x5414),f47(x5414,a1))
% 0.80/0.89 [585]P18(x5851,x5852,x5853)+~P17(f32(x5851,x5854,x5853),x5852,f47(x5853,a1))
% 0.80/0.89 [593]~P17(f32(x5934,x5931,x5933),x5932,f47(x5933,a1))+P17(x5931,x5932,f47(x5933,a1))
% 0.80/0.89 [606]~P17(x6062,x6064,f47(x6063,a1))+P17(f32(x6061,x6062,x6063),f32(x6061,x6064,x6063),f47(x6063,a1))
% 0.80/0.89 [642]~P6(x6422,x6423)+P6(f33(x6421,x6422,x6423,x6424),x6424)
% 0.80/0.89 [677]~P15(x6771,x6774,x6772,x6773)+P17(f28(x6771,x6772,x6773),f28(x6774,x6772,x6773),f47(x6772,a1))
% 0.80/0.89 [755]~P7(x7551,x7552,x7553,x7554)+P8(x7551,x7552,f33(x7551,x7552,x7553,x7554),x7553,x7554)
% 0.80/0.89 [537]~P33(f11(x5372,x5374))+P33(f11(f32(x5371,x5372,x5373),x5374))
% 0.80/0.89 [538]~P18(x5381,x5383,x5384)+P18(x5381,f27(x5382,x5383,f47(x5384,a1)),x5384)
% 0.80/0.89 [539]~P18(x5391,x5392,x5394)+P18(x5391,f27(x5392,x5393,f47(x5394,a1)),x5394)
% 0.80/0.89 [552]P18(x5522,x5521,x5524)+E(f21(x5521,f32(x5522,x5523,x5524),f47(x5524,a1)),f21(x5521,x5523,f47(x5524,a1)))
% 0.80/0.89 [553]P18(x5531,x5534,x5533)+E(f21(f32(x5531,x5532,x5533),x5534,f47(x5533,a1)),f21(x5532,x5534,f47(x5533,a1)))
% 0.80/0.89 [561]~P10(x5613)+E(f21(f38(x5611,x5612,x5613),f37(x5612,x5614,x5613),f47(x5613,a1)),f30(f47(x5613,a1)))
% 0.80/0.89 [562]~P10(x5623)+E(f21(f38(x5621,x5622,x5623),f38(x5622,x5624,x5623),f47(x5623,a1)),f30(f47(x5623,a1)))
% 0.80/0.89 [563]P9(x5631,x5632,x5633)+~P9(x5631,f32(x5634,x5632,f43(x5633)),x5633)
% 0.80/0.89 [564]~P21(x5644)+E(f21(x5641,f21(x5642,x5643,x5644),x5644),f21(x5642,f21(x5641,x5643,x5644),x5644))
% 0.80/0.89 [565]~P24(x5654)+E(f21(x5651,f21(x5652,x5653,x5654),x5654),f21(x5652,f21(x5651,x5653,x5654),x5654))
% 0.80/0.89 [566]~P21(x5664)+E(f27(x5661,f27(x5662,x5663,x5664),x5664),f27(x5662,f27(x5661,x5663,x5664),x5664))
% 0.80/0.89 [567]~P25(x5674)+E(f27(x5671,f27(x5672,x5673,x5674),x5674),f27(x5672,f27(x5671,x5673,x5674),x5674))
% 0.80/0.89 [568]~P21(x5683)+E(f21(f21(x5681,x5682,x5683),x5684,x5683),f21(x5681,f21(x5682,x5684,x5683),x5683))
% 0.80/0.89 [569]~P24(x5693)+E(f21(f21(x5691,x5692,x5693),x5694,x5693),f21(x5691,f21(x5692,x5694,x5693),x5693))
% 0.80/0.89 [570]~P21(x5703)+E(f27(f27(x5701,x5702,x5703),x5704,x5703),f27(x5701,f27(x5702,x5704,x5703),x5703))
% 0.80/0.89 [571]~P25(x5713)+E(f27(f27(x5711,x5712,x5713),x5714,x5713),f27(x5711,f27(x5712,x5714,x5713),x5713))
% 0.80/0.89 [586]~P18(x5861,x5864,x5863)+E(f22(f32(x5861,x5862,x5863),x5864,f47(x5863,a1)),f22(x5862,x5864,f47(x5863,a1)))
% 0.80/0.89 [597]P18(x5971,x5972,x5973)+~P18(x5971,f21(x5974,x5972,f47(x5973,a1)),x5973)
% 0.80/0.89 [598]P18(x5981,x5982,x5983)+~P18(x5981,f21(x5982,x5984,f47(x5983,a1)),x5983)
% 0.80/0.89 [599]P18(x5991,x5992,x5993)+~P18(x5991,f22(x5992,x5994,f47(x5993,a1)),x5993)
% 0.80/0.89 [604]~P18(x6041,x6042,x6043)+~P18(x6041,f22(x6044,x6042,f47(x6043,a1)),x6043)
% 0.80/0.89 [616]~P22(x6163)+E(f27(f21(x6161,x6162,x6163),f21(x6161,x6164,x6163),x6163),f21(x6161,f27(x6162,x6164,x6163),x6163))
% 0.80/0.89 [617]~P22(x6173)+E(f21(f27(x6171,x6172,x6173),f27(x6171,x6174,x6173),x6173),f27(x6171,f21(x6172,x6174,x6173),x6173))
% 0.80/0.89 [618]~P22(x6183)+E(f27(f21(x6181,x6182,x6183),f21(x6184,x6182,x6183),x6183),f21(f27(x6181,x6184,x6183),x6182,x6183))
% 0.80/0.89 [619]~P22(x6193)+E(f21(f27(x6191,x6192,x6193),f27(x6194,x6192,x6193),x6193),f27(f21(x6191,x6194,x6193),x6192,x6193))
% 0.80/0.89 [621]P17(x6211,x6212,f47(x6213,a1))+~P17(x6211,f21(x6214,x6212,f47(x6213,a1)),f47(x6213,a1))
% 0.80/0.89 [622]P17(x6221,x6222,f47(x6223,a1))+~P17(x6221,f21(x6222,x6224,f47(x6223,a1)),f47(x6223,a1))
% 0.80/0.89 [623]P17(x6231,x6232,f47(x6233,a1))+~P17(f27(x6234,x6231,f47(x6233,a1)),x6232,f47(x6233,a1))
% 0.80/0.89 [624]P17(x6241,x6242,f47(x6243,a1))+~P17(f27(x6241,x6244,f47(x6243,a1)),x6242,f47(x6243,a1))
% 0.80/0.89 [628]~E(f33(x6283,x6281,x6282,x6284),f30(f47(x6284,a1)))+E(x6281,f30(f47(x6282,a1)))
% 0.80/0.89 [648]~P17(x6484,x6481,f47(x6483,a1))+E(f27(f21(x6481,x6482,f47(x6483,a1)),x6484,f47(x6483,a1)),f21(x6481,f27(x6482,x6484,f47(x6483,a1)),f47(x6483,a1)))
% 0.80/0.89 [651]~P17(f22(x6511,x6512,f47(x6514,a1)),x6513,f47(x6514,a1))+P17(x6511,f27(x6512,x6513,f47(x6514,a1)),f47(x6514,a1))
% 0.80/0.89 [652]~P17(x6521,f27(x6522,x6524,f47(x6523,a1)),f47(x6523,a1))+P17(f22(x6521,x6522,f47(x6523,a1)),x6524,f47(x6523,a1))
% 0.80/0.89 [653]~P9(x6531,f32(x6532,x6534,f43(x6533)),x6533)+P9(x6531,f32(x6532,f30(f47(f43(x6533),a1)),f43(x6533)),x6533)
% 0.80/0.89 [667]~P6(f22(x6671,x6673,f47(x6674,a1)),x6674)+P6(f22(x6671,f32(x6672,x6673,x6674),f47(x6674,a1)),x6674)
% 0.80/0.89 [681]~P6(f22(x6811,f32(x6814,x6812,x6813),f47(x6813,a1)),x6813)+P6(f22(x6811,x6812,f47(x6813,a1)),x6813)
% 0.80/0.89 [685]P17(x6851,x6852,f47(x6853,a1))+~E(f27(f21(x6852,x6854,f47(x6853,a1)),x6851,f47(x6853,a1)),f21(x6852,f27(x6854,x6851,f47(x6853,a1)),f47(x6853,a1)))
% 0.80/0.89 [687]~P4(x6871,x6873,x6874)+E(f33(x6871,f40(x6871,x6872,x6873,x6874),x6873,x6874),x6872)
% 0.80/0.89 [697]~P7(x6971,x6972,x6973,x6974)+E(f17(f33(x6971,x6972,x6973,x6974),x6974),f17(x6972,x6973))
% 0.80/0.89 [698]~P21(x6984)+P17(f27(x6981,f21(x6982,x6983,x6984),x6984),f21(f27(x6981,x6982,x6984),f27(x6981,x6983,x6984),x6984),x6984)
% 0.80/0.89 [699]~P21(x6993)+P17(f27(f21(x6991,x6992,x6993),f21(x6991,x6994,x6993),x6993),f21(x6991,f27(x6992,x6994,x6993),x6993),x6993)
% 0.80/0.89 [716]~P7(x7162,f31(f47(x7161,a1)),x7161,x7163)+E(f11(f24(f31(f47(x7161,a1)),x7162,x7161,x7163),f11(x7162,x7164)),x7164)
% 0.80/0.89 [726]~P7(x7261,f31(f47(x7263,a1)),x7263,x7264)+E(f40(x7261,f33(x7261,x7262,x7263,x7264),x7263,x7264),x7262)
% 0.80/0.89 [744]~P7(x7442,f31(f47(x7441,a1)),x7441,x7443)+E(f33(f24(f31(f47(x7441,a1)),x7442,x7441,x7443),f33(x7442,x7444,x7441,x7443),x7443,x7441),x7444)
% 0.80/0.89 [600]~P33(f11(x6002,x6004))+P33(f11(f27(x6001,x6002,f47(x6003,a1)),x6004))
% 0.80/0.89 [601]~P33(f11(x6011,x6014))+P33(f11(f27(x6011,x6012,f47(x6013,a1)),x6014))
% 0.80/0.89 [625]P18(x6251,x6254,x6253)+E(f22(f32(x6251,x6252,x6253),x6254,f47(x6253,a1)),f32(x6251,f22(x6252,x6254,f47(x6253,a1)),x6253))
% 0.80/0.89 [635]~P18(x6351,x6352,x6354)+E(f32(x6351,f21(x6352,x6353,f47(x6354,a1)),x6354),f21(x6352,f32(x6351,x6353,x6354),f47(x6354,a1)))
% 0.80/0.89 [636]~P18(x6361,x6363,x6364)+E(f32(x6361,f21(x6362,x6363,f47(x6364,a1)),x6364),f21(f32(x6361,x6362,x6364),x6363,f47(x6364,a1)))
% 0.80/0.89 [644]P33(f11(x6441,x6442))+~P33(f11(f21(x6443,x6441,f47(x6444,a1)),x6442))
% 0.80/0.89 [645]P33(f11(x6451,x6452))+~P33(f11(f21(x6451,x6453,f47(x6454,a1)),x6452))
% 0.80/0.89 [702]~P5(x7021,x7023,x7024)+E(f33(x7021,f23(x7022,f47(x7023,a1)),x7023,x7024),f23(f33(x7021,x7022,x7023,x7024),f47(x7024,a1)))
% 0.80/0.89 [746]~P4(x7461,x7463,x7464)+P17(f23(f33(x7461,x7462,x7463,x7464),f47(x7464,a1)),f33(x7461,f23(x7462,f47(x7463,a1)),x7463,x7464),f47(x7464,a1))
% 0.80/0.89 [761]~P7(x7611,f31(f47(x7613,a1)),x7613,x7614)+P17(f33(x7611,f23(x7612,f47(x7613,a1)),x7613,x7614),f23(f33(x7611,x7612,x7613,x7614),f47(x7614,a1)),f47(x7614,a1))
% 0.80/0.89 [721]~P5(x7212,x7211,x7213)+E(f33(f24(f31(f47(x7211,a1)),x7212,x7211,x7213),x7214,x7213,x7211),f40(x7212,x7214,x7211,x7213))
% 0.80/0.89 [730]~P4(x7301,x7302,x7303)+E(f11(x7301,f11(f24(f31(f47(x7302,a1)),x7301,x7302,x7303),x7304)),x7304)
% 0.80/0.89 [754]~P4(x7541,x7542,x7543)+E(f33(x7541,f33(f24(f31(f47(x7542,a1)),x7541,x7542,x7543),x7544,x7543,x7542),x7542,x7543),x7544)
% 0.80/0.89 [758]P7(x7581,x7582,x7583,x7584)+~P8(x7581,x7582,x7585,x7583,x7584)
% 0.80/0.89 [464]P18(x4641,f28(x4642,x4643,x4644),x4643)+~E(f20(x4645,x4644),f11(x4642,x4641))
% 0.80/0.89 [671]~P18(x6712,x6713,x6714)+P18(f11(x6711,x6712),f33(x6711,x6713,x6714,x6715),x6715)
% 0.80/0.89 [675]~P18(f11(x6752,x6751),x6753,x6755)+P18(x6751,f40(x6752,x6753,x6754,x6755),x6754)
% 0.80/0.89 [686]P7(x6861,x6862,x6863,x6864)+~P7(x6861,f32(x6865,x6862,x6863),x6863,x6864)
% 0.80/0.89 [704]~P18(x7042,f40(x7041,x7043,x7045,x7044),x7045)+P18(f11(x7041,x7042),x7043,x7044)
% 0.80/0.89 [723]~P17(x7232,x7235,f47(x7233,a1))+P17(f33(x7231,x7232,x7233,x7234),f33(x7231,x7235,x7233,x7234),f47(x7234,a1))
% 0.80/0.89 [724]~P17(x7242,x7245,f47(x7244,a1))+P17(f40(x7241,x7242,x7243,x7244),f40(x7241,x7245,x7243,x7244),f47(x7243,a1))
% 0.80/0.89 [739]P7(f24(x7391,x7392,x7393,x7394),x7395,x7394,x7393)+~P17(x7395,f33(x7392,x7391,x7393,x7394),f47(x7394,a1))
% 0.80/0.89 [749]~P8(x7495,x7491,x7493,x7492,x7494)+E(f17(x7491,x7492),f17(x7493,x7494))
% 0.80/0.89 [759]~P8(x7591,x7592,x7595,x7593,x7594)+E(f33(x7591,x7592,x7593,x7594),x7595)
% 0.80/0.89 [770]P18(f4(x7702,x7701,x7705,x7703,x7704),x7702,x7703)+E(f33(x7701,x7702,x7703,x7704),f33(x7705,x7702,x7703,x7704))
% 0.80/0.89 [771]P18(f8(x7711,x7712,x7713,x7714,x7715),x7711,x7714)+P17(f33(x7713,x7711,x7714,x7715),x7712,f47(x7715,a1))
% 0.80/0.89 [772]P18(f9(x7721,x7722,x7723,x7724,x7725),x7721,x7724)+P17(f33(x7723,x7721,x7724,x7725),x7722,f47(x7725,a1))
% 0.80/0.89 [779]~P17(x7792,f33(x7793,x7791,x7794,x7795),f47(x7795,a1))+P17(f10(x7791,x7792,x7793,x7794,x7795),x7791,f47(x7794,a1))
% 0.80/0.89 [783]~P8(x7832,x7831,x7835,x7833,x7834)+P8(f24(x7831,x7832,x7833,x7834),x7835,x7831,x7834,x7833)
% 0.80/0.89 [516]~E(f20(x5165,x5164),f11(x5162,x5161))+E(f32(x5161,f28(x5162,x5163,x5164),x5163),f28(x5162,x5163,x5164))
% 0.80/0.89 [684]~P7(x6841,x6842,x6844,x6845)+P7(x6841,f22(x6842,x6843,f47(x6844,a1)),x6844,x6845)
% 0.80/0.89 [692]P7(x6921,x6922,x6923,x6924)+~P7(x6921,f27(x6925,x6922,f47(x6923,a1)),x6923,x6924)
% 0.80/0.89 [693]P7(x6931,x6932,x6933,x6934)+~P7(x6931,f27(x6932,x6935,f47(x6933,a1)),x6933,x6934)
% 0.80/0.89 [696]~P18(x6962,x6963,x6964)+E(f32(f11(x6961,x6962),f33(x6961,x6963,x6964,x6965),x6965),f33(x6961,x6963,x6964,x6965))
% 0.80/0.89 [719]~P33(f11(x7192,f11(x7191,x7195)))+P33(f11(f40(x7191,x7192,x7193,x7194),x7195))
% 0.80/0.89 [741]P33(f11(x7411,f11(x7412,x7413)))+~P33(f11(f40(x7412,x7411,x7414,x7415),x7413))
% 0.80/0.89 [750]~P18(x7505,f33(x7502,x7501,x7503,x7504),x7504)+P18(f11(f24(x7501,x7502,x7503,x7504),x7505),x7501,x7503)
% 0.80/0.89 [763]~P7(x7631,f27(x7632,x7633,f47(x7634,a1)),x7634,x7635)+E(f21(f33(x7631,f22(x7632,x7633,f47(x7634,a1)),x7634,x7635),f33(x7631,f22(x7633,x7632,f47(x7634,a1)),x7634,x7635),f47(x7635,a1)),f30(f47(x7635,a1)))
% 0.80/0.89 [781]~P17(x7813,f33(x7811,x7812,x7814,x7815),f47(x7815,a1))+E(f33(x7811,f10(x7812,x7813,x7811,x7814,x7815),x7814,x7815),x7813)
% 0.80/0.89 [794]E(f33(x7941,x7942,x7943,x7944),f33(x7945,x7942,x7943,x7944))+~E(f11(x7941,f4(x7942,x7941,x7945,x7943,x7944)),f11(x7945,f4(x7942,x7941,x7945,x7943,x7944)))
% 0.80/0.89 [795]P17(f33(x7951,x7952,x7953,x7954),x7955,f47(x7954,a1))+~P18(f11(x7951,f8(x7952,x7955,x7951,x7953,x7954)),x7955,x7954)
% 0.80/0.89 [796]P17(f33(x7961,x7962,x7963,x7964),x7965,f47(x7964,a1))+~P18(f11(x7961,f9(x7962,x7965,x7961,x7963,x7964)),x7965,x7964)
% 0.80/0.89 [747]~P18(x7475,f33(x7471,x7472,x7473,x7474),x7474)+E(f11(x7471,f11(f24(x7472,x7471,x7473,x7474),x7475)),x7475)
% 0.80/0.89 [751]~P7(x7511,f31(f47(x7513,a1)),x7513,x7514)+E(f21(f33(x7511,x7512,x7513,x7514),f33(x7511,x7515,x7513,x7514),f47(x7514,a1)),f33(x7511,f21(x7512,x7515,f47(x7513,a1)),x7513,x7514))
% 0.80/0.89 [752]~P7(x7521,f31(f47(x7523,a1)),x7523,x7524)+E(f22(f33(x7521,x7522,x7523,x7524),f33(x7521,x7525,x7523,x7524),f47(x7524,a1)),f33(x7521,f22(x7522,x7525,f47(x7523,a1)),x7523,x7524))
% 0.80/0.89 [774]~P7(x7741,f32(x7742,x7743,x7744),x7744,x7745)+~P18(f11(x7741,x7742),f33(x7741,f22(x7743,f32(x7742,f30(f47(x7744,a1)),x7744),f47(x7744,a1)),x7744,x7745),x7745)
% 0.80/0.89 [792]~P6(f33(x7922,f31(f47(x7925,a1)),x7925,x7923),x7923)+P6(f33(f3(x7921,x7922,x7923,x7924,x7925),f31(f47(x7925,a1)),x7925,x7924),x7924)
% 0.80/0.89 [734]E(f11(x7341,x7342),x7343)+~P18(x7342,f40(x7341,f32(x7343,f30(f47(x7344,a1)),x7344),x7345,x7344),x7345)
% 0.80/0.89 [791]~P7(x7913,f31(f47(x7912,a1)),x7912,x7914)+E(f14(f14(x7911,f24(f31(f47(x7912,a1)),x7913,x7912,x7914),x7912,x7915,x7914),x7913,x7914,x7915,x7912),x7911)
% 0.80/0.89 [788]~P7(f14(x7881,x7882,x7885,x7886,x7884),x7883,x7884,x7886)+P7(x7881,f33(x7882,x7883,x7884,x7885),x7885,x7886)
% 0.80/0.89 [784]~E(f14(x7841,x7842,x7845,x7846,x7847),f14(f12(x7846),x7844,x7846,x7846,x7847))+E(f11(x7841,f11(x7842,x7843)),f11(x7844,x7843))
% 0.80/0.89 [786]~E(f14(x7861,x7862,x7866,x7867,x7868),f14(x7864,x7865,x7869,x7867,x7868))+E(f11(x7861,f11(x7862,x7863)),f11(x7864,f11(x7865,x7863)))
% 0.80/0.89 [789]~E(f11(x7891,f11(x7892,x7896)),f11(x7897,f11(x7898,x78911)))+E(f11(f14(x7891,x7892,x7893,x7894,x7895),x7896),f11(f14(x7897,x7898,x7899,x7894,x78910),x78911))
% 0.80/0.89 [355]~P19(x3552)+~P19(x3551)+P19(f47(x3551,x3552))
% 0.80/0.89 [356]P3(x3561)+~E(f11(a13,x3562),f20(x3561,a42))+~P2(a500)
% 0.80/0.89 [469]~P6(x4691,x4692)+P6(f23(x4691,f47(x4692,a1)),x4692)+~P6(f31(f47(x4692,a1)),x4692)
% 0.80/0.89 [486]~P6(x4862,x4861)+~P6(f23(x4862,f47(x4861,a1)),x4861)+P6(f31(f47(x4861,a1)),x4861)
% 0.80/0.89 [637]~P4(x6371,x6372,x6372)+P7(x6371,f31(f47(x6372,a1)),x6372,x6372)+~P6(f31(f47(x6372,a1)),x6372)
% 0.80/0.89 [666]P4(x6661,x6662,x6662)+~P7(x6661,f31(f47(x6662,a1)),x6662,x6662)+~P6(f31(f47(x6662,a1)),x6662)
% 0.80/0.89 [515]E(x5151,f31(f47(x5152,a1)))+~P6(f31(f47(x5152,a1)),x5152)+~E(f17(x5151,x5152),f17(f31(f47(x5152,a1)),x5152))
% 0.80/0.89 [798]~P6(x7982,a41)+P9(x7981,f33(f3(a25,a15,a42,f43(a44),a41),x7982,a41,f43(a44)),a44)+~P9(f27(x7981,f33(f3(a25,a15,a42,f43(a44),a41),x7982,a41,f43(a44)),f47(f43(a44),a1)),f33(f3(a25,f3(f19(a42),a13,f45(a42),a42,a41),a42,f43(a44),a41),x7982,a41,f43(a44)),a44)
% 0.80/0.89 [403]P17(x4032,x4031,x4033)+~P20(x4033)+P17(x4031,x4032,x4033)
% 0.80/0.89 [363]~P11(x3633)+E(x3631,x3632)+~E(f23(x3631,x3633),f23(x3632,x3633))
% 0.80/0.89 [364]~P27(x3643)+E(x3641,x3642)+~E(f23(x3641,x3643),f23(x3642,x3643))
% 0.80/0.89 [365]~P20(x3653)+E(x3651,x3652)+~E(f34(x3651,x3653),f34(x3652,x3653))
% 0.80/0.89 [366]~P20(x3663)+E(x3661,x3662)+~E(f35(x3661,x3663),f35(x3662,x3663))
% 0.80/0.89 [367]~P20(x3673)+E(x3671,x3672)+~E(f36(x3671,x3673),f36(x3672,x3673))
% 0.80/0.89 [368]~P20(x3683)+E(x3681,x3682)+~E(f39(x3681,x3683),f39(x3682,x3683))
% 0.80/0.89 [394]~P23(x3942)+~E(f27(x3943,x3941,x3942),f30(x3942))+E(x3941,f30(x3942))
% 0.80/0.89 [395]~P23(x3952)+~E(f21(x3953,x3951,x3952),f31(x3952))+E(x3951,f31(x3952))
% 0.80/0.89 [396]~P23(x3962)+~E(f27(x3961,x3963,x3962),f30(x3962))+E(x3961,f30(x3962))
% 0.80/0.89 [397]~P23(x3972)+~E(f21(x3971,x3973,x3972),f31(x3972))+E(x3971,f31(x3972))
% 0.80/0.89 [413]~P24(x4133)+~P17(x4132,x4131,x4133)+E(f21(x4131,x4132,x4133),x4132)
% 0.80/0.89 [414]~P24(x4143)+~P17(x4141,x4142,x4143)+E(f21(x4141,x4142,x4143),x4141)
% 0.80/0.89 [415]~P25(x4153)+~P17(x4151,x4152,x4153)+E(f27(x4151,x4152,x4153),x4152)
% 0.80/0.89 [416]~P25(x4163)+~P17(x4162,x4161,x4163)+E(f27(x4161,x4162,x4163),x4161)
% 0.80/0.89 [417]~P24(x4173)+P17(x4171,x4172,x4173)+~E(f21(x4171,x4172,x4173),x4171)
% 0.80/0.89 [418]~P25(x4183)+P17(x4181,x4182,x4183)+~E(f27(x4181,x4182,x4183),x4182)
% 0.80/0.89 [420]P6(x4201,x4202)+~P6(x4203,x4202)+~P17(x4201,x4203,f47(x4202,a1))
% 0.80/0.89 [432]~P12(x4323)+~P17(x4322,x4321,x4323)+P18(x4321,f35(x4322,x4323),x4323)
% 0.80/0.89 [433]~P12(x4333)+~P17(x4331,x4332,x4333)+P18(x4331,f36(x4332,x4333),x4333)
% 0.80/0.89 [444]~P12(x4443)+P17(x4441,x4442,x4443)+~P18(x4442,f35(x4441,x4443),x4443)
% 0.80/0.89 [445]~P12(x4453)+P17(x4451,x4452,x4453)+~P18(x4451,f36(x4452,x4453),x4453)
% 0.80/0.89 [455]~P29(x4552)+~P17(x4553,x4551,x4552)+P17(f23(x4551,x4552),f23(x4553,x4552),x4552)
% 0.80/0.89 [471]~P29(x4713)+~P17(x4712,f23(x4711,x4713),x4713)+P17(x4711,f23(x4712,x4713),x4713)
% 0.80/0.89 [472]~P13(x4723)+~P17(x4721,f11(x4722,x4721),x4723)+P17(x4721,f26(x4722,x4723),x4723)
% 0.80/0.89 [474]~P29(x4742)+~P17(f23(x4743,x4742),x4741,x4742)+P17(f23(x4741,x4742),x4743,x4742)
% 0.80/0.89 [482]~P20(x4822)+~P17(x4821,x4823,x4822)+P17(f34(x4821,x4822),f34(x4823,x4822),f47(x4822,a1))
% 0.80/0.89 [483]~P10(x4832)+~P17(x4833,x4831,x4832)+P17(f35(x4831,x4832),f35(x4833,x4832),f47(x4832,a1))
% 0.80/0.89 [484]~P10(x4842)+~P17(x4841,x4843,x4842)+P17(f36(x4841,x4842),f36(x4843,x4842),f47(x4842,a1))
% 0.80/0.89 [485]~P20(x4852)+~P17(x4853,x4851,x4852)+P17(f39(x4851,x4852),f39(x4853,x4852),f47(x4852,a1))
% 0.80/0.89 [488]~P29(x4883)+P17(x4881,x4882,x4883)+~P17(f23(x4882,x4883),f23(x4881,x4883),x4883)
% 0.80/0.89 [507]E(x5071,x5072)+~P17(x5071,x5072,f47(x5073,a1))+~P17(x5072,x5071,f47(x5073,a1))
% 0.80/0.89 [522]~P10(x5223)+P17(x5221,x5222,x5223)+~P17(f35(x5222,x5223),f35(x5221,x5223),f47(x5223,a1))
% 0.80/0.89 [523]~P10(x5233)+P17(x5231,x5232,x5233)+~P17(f36(x5231,x5233),f36(x5232,x5233),f47(x5233,a1))
% 0.80/0.89 [524]~P20(x5243)+P17(x5241,x5242,x5243)+~P17(f34(x5241,x5243),f34(x5242,x5243),f47(x5243,a1))
% 0.80/0.89 [525]~P20(x5253)+P17(x5251,x5252,x5253)+~P17(f39(x5252,x5253),f39(x5251,x5253),f47(x5253,a1))
% 0.80/0.89 [720]~P6(x7202,x7203)+P7(x7201,x7202,x7203,x7203)+~P17(x7202,f33(x7201,x7202,x7203,x7203),f47(x7203,a1))
% 0.80/0.89 [410]P17(x4101,x4102,x4103)+~P10(x4103)+E(f37(x4101,x4102,x4103),f30(f47(x4103,a1)))
% 0.80/0.89 [411]P17(x4112,x4113,x4111)+~P10(x4111)+E(f30(f47(x4111,a1)),f37(x4112,x4113,x4111))
% 0.80/0.89 [435]~P10(x4353)+~P17(x4352,x4351,x4353)+E(f38(x4351,x4352,x4353),f30(f47(x4353,a1)))
% 0.80/0.89 [467]~P6(x4672,x4673)+~P6(x4671,x4673)+P6(f27(x4671,x4672,f47(x4673,a1)),x4673)
% 0.80/0.89 [476]~P10(x4763)+~P17(x4761,x4762,x4763)+~E(f37(x4761,x4762,x4763),f30(f47(x4763,a1)))
% 0.80/0.89 [477]~P10(x4771)+~P17(x4772,x4773,x4771)+~E(f30(f47(x4771,a1)),f37(x4772,x4773,x4771))
% 0.80/0.89 [501]~P6(x5012,x5013)+~P18(x5011,x5012,x5013)+E(f17(f32(x5011,x5012,x5013),x5013),f17(x5012,x5013))
% 0.80/0.89 [540]P6(x5401,x5402)+~P6(x5403,x5402)+~P6(f22(x5401,x5403,f47(x5402,a1)),x5402)
% 0.80/0.89 [554]~P20(x5542)+~P17(x5541,x5543,x5542)+E(f27(f34(x5541,x5542),f37(x5541,x5543,x5542),f47(x5542,a1)),f36(x5543,x5542))
% 0.80/0.89 [555]~P20(x5552)+~P17(x5551,x5553,x5552)+E(f27(f34(x5551,x5552),f38(x5551,x5553,x5552),f47(x5552,a1)),f34(x5553,x5552))
% 0.80/0.89 [556]~P20(x5563)+~P17(x5561,x5562,x5563)+E(f27(f37(x5561,x5562,x5563),f39(x5562,x5563),f47(x5563,a1)),f35(x5561,x5563))
% 0.80/0.89 [557]~P20(x5573)+~P17(x5571,x5572,x5573)+E(f27(f38(x5571,x5572,x5573),f35(x5572,x5573),f47(x5573,a1)),f35(x5571,x5573))
% 0.80/0.89 [643]~P20(x6433)+~P17(x6431,x6432,x6433)+E(f27(f38(x6431,x6432,x6433),f32(x6432,f30(f47(x6433,a1)),x6433),f47(x6433,a1)),f37(x6431,x6432,x6433))
% 0.80/0.89 [661]~P4(x6611,x6612,x6613)+P5(x6611,x6612,x6613)+~P7(x6611,f31(f47(x6612,a1)),x6612,x6613)
% 0.80/0.89 [650]~P17(x6501,f32(x6503,f30(f47(x6502,a1)),x6502),f47(x6502,a1))+E(x6501,f30(f47(x6502,a1)))+E(x6501,f32(x6503,f30(f47(x6502,a1)),x6502))
% 0.80/0.89 [676]P18(x6762,x6761,x6763)+~P6(x6761,x6763)+E(f17(f22(x6761,f32(x6762,f30(f47(x6763,a1)),x6763),f47(x6763,a1)),x6763),f17(x6761,x6763))
% 0.80/0.89 [434]~P16(x4343,x4344,x4341)+E(x4341,x4342)+~P16(x4343,x4344,x4342)
% 0.80/0.89 [487]~P9(x4871,x4874,x4873)+P9(x4871,x4872,x4873)+~P9(x4874,x4872,x4873)
% 0.80/0.89 [683]~P15(x6831,x6832,x6833,x6834)+E(x6831,x6832)+~P15(x6832,x6831,x6833,x6834)
% 0.80/0.89 [436]~P28(x4364)+E(x4361,x4362)+~E(f22(x4363,x4363,x4364),f22(x4361,x4362,x4364))
% 0.80/0.89 [437]~P28(x4373)+E(x4371,x4372)+~E(f22(x4371,x4372,x4373),f22(x4374,x4374,x4373))
% 0.80/0.89 [457]~P17(x4573,x4571,f47(x4574,a1))+P33(f11(x4571,x4572))+~P33(f11(x4573,x4572))
% 0.80/0.89 [511]~P25(x5114)+~P17(x5111,x5113,x5114)+P17(x5111,f27(x5112,x5113,x5114),x5114)
% 0.80/0.89 [512]~P25(x5124)+~P17(x5121,x5122,x5124)+P17(x5121,f27(x5122,x5123,x5124),x5124)
% 0.80/0.89 [513]~P24(x5133)+~P17(x5132,x5134,x5133)+P17(f21(x5131,x5132,x5133),x5134,x5133)
% 0.80/0.89 [514]~P24(x5143)+~P17(x5141,x5144,x5143)+P17(f21(x5141,x5142,x5143),x5144,x5143)
% 0.80/0.89 [521]P18(x5211,x5212,x5213)+~P18(x5211,x5214,x5213)+~P17(x5214,x5212,f47(x5213,a1))
% 0.80/0.89 [542]E(x5421,x5422)+P18(x5421,x5423,x5424)+~P18(x5421,f32(x5422,x5423,x5424),x5424)
% 0.80/0.89 [545]~P24(x5453)+P17(x5451,x5452,x5453)+~P17(x5451,f21(x5454,x5452,x5453),x5453)
% 0.80/0.89 [547]~P24(x5473)+P17(x5471,x5472,x5473)+~P17(x5471,f21(x5472,x5474,x5473),x5473)
% 0.80/0.89 [549]~P25(x5493)+P17(x5491,x5492,x5493)+~P17(f27(x5494,x5491,x5493),x5492,x5493)
% 0.80/0.89 [551]~P25(x5513)+P17(x5511,x5512,x5513)+~P17(f27(x5511,x5514,x5513),x5512,x5513)
% 0.80/0.89 [560]~P17(x5601,x5604,f47(x5603,a1))+~P17(x5604,x5602,f47(x5603,a1))+P17(x5601,x5602,f47(x5603,a1))
% 0.80/0.89 [603]~P18(x6031,x6034,x6033)+~P17(x6032,x6034,f47(x6033,a1))+P17(f32(x6031,x6032,x6033),x6034,f47(x6033,a1))
% 0.80/0.89 [611]P18(x6111,x6112,x6113)+~P17(x6112,f32(x6111,x6114,x6113),f47(x6113,a1))+P17(x6112,x6114,f47(x6113,a1))
% 0.80/0.89 [662]~P6(x6622,x6624)+~P5(x6621,x6623,x6624)+P6(f40(x6621,x6622,x6623,x6624),x6623)
% 0.80/0.89 [694]P6(x6941,x6942)+~P4(x6943,x6944,x6942)+~P6(f40(x6943,x6941,x6944,x6942),x6944)
% 0.80/0.89 [695]P6(x6951,x6952)+~P5(x6953,x6954,x6952)+~P6(f40(x6953,x6951,x6954,x6952),x6954)
% 0.80/0.89 [725]P6(x7251,x7252)+~P7(x7253,x7251,x7252,x7254)+~P6(f33(x7253,x7251,x7252,x7254),x7254)
% 0.80/0.89 [528]P9(x5281,x5282,x5283)+~P9(x5284,x5282,x5283)+~P17(x5284,x5281,f47(f43(x5283),a1))
% 0.80/0.89 [529]P9(x5291,x5292,x5293)+~P9(x5291,x5294,x5293)+~P17(x5292,x5294,f47(f43(x5293),a1))
% 0.80/0.89 [575]~P18(x5754,x5752,x5753)+~P18(x5754,x5751,x5753)+~E(f21(x5751,x5752,f47(x5753,a1)),f30(f47(x5753,a1)))
% 0.80/0.89 [588]~P18(x5881,x5884,x5883)+P18(x5881,x5882,x5883)+P18(x5881,f22(x5884,x5882,f47(x5883,a1)),x5883)
% 0.80/0.89 [594]~P18(x5941,x5944,x5943)+~P17(x5944,f11(x5942,x5944),f47(x5943,a1))+P18(x5941,f26(x5942,f47(x5943,a1)),x5943)
% 0.80/0.89 [596]~P18(x5961,x5963,x5964)+~P18(x5961,x5962,x5964)+P18(x5961,f21(x5962,x5963,f47(x5964,a1)),x5964)
% 0.80/0.89 [608]E(x6081,x6082)+P33(f11(x6083,x6081))+~P33(f11(f32(x6082,x6083,x6084),x6081))
% 0.80/0.89 [615]P18(x6151,x6152,x6153)+P18(x6151,x6154,x6153)+~P18(x6151,f27(x6152,x6154,f47(x6153,a1)),x6153)
% 0.80/0.89 [620]~P20(x6203)+~P17(x6201,x6204,x6203)+E(f22(f38(x6201,x6202,x6203),f38(x6201,x6204,x6203),f47(x6203,a1)),f38(x6204,x6202,x6203))
% 0.80/0.89 [631]~P17(x6311,x6312,f47(x6314,a1))+~P17(x6311,x6313,f47(x6314,a1))+P17(x6311,f21(x6312,x6313,f47(x6314,a1)),f47(x6314,a1))
% 0.80/0.89 [633]~P17(x6331,x6334,f47(x6333,a1))+~P17(x6332,x6334,f47(x6333,a1))+P17(f27(x6331,x6332,f47(x6333,a1)),x6334,f47(x6333,a1))
% 0.80/0.89 [634]~P17(x6341,x6342,f47(x6344,a1))+~P17(x6343,x6341,f47(x6344,a1))+E(f22(x6341,f22(x6342,x6343,f47(x6344,a1)),f47(x6344,a1)),x6343)
% 0.80/0.89 [682]~P9(x6821,x6823,x6824)+P9(x6821,f32(x6822,x6823,f43(x6824)),x6824)+~P9(x6821,f32(x6822,f30(f47(f43(x6824),a1)),f43(x6824)),x6824)
% 0.80/0.89 [707]~P6(x7072,x7074)+P6(f40(x7071,x7072,x7073,x7074),x7073)+~P7(x7071,f31(f47(x7073,a1)),x7073,x7074)
% 0.80/0.89 [711]~P18(x7112,x7111,x7113)+~P17(x7111,f32(x7112,x7114,x7113),f47(x7113,a1))+P17(f22(x7111,f32(x7112,f30(f47(x7113,a1)),x7113),f47(x7113,a1)),x7114,f47(x7113,a1))
% 0.80/0.89 [713]~P6(x7132,x7133)+P7(x7131,x7132,x7133,x7134)+~E(f17(f33(x7131,x7132,x7133,x7134),x7134),f17(x7132,x7133))
% 0.80/0.89 [729]~P18(x7292,x7291,x7294)+P17(x7291,f32(x7292,x7293,x7294),f47(x7294,a1))+~P17(f22(x7291,f32(x7292,f30(f47(x7294,a1)),x7294),f47(x7294,a1)),x7293,f47(x7294,a1))
% 0.80/0.89 [777]~P12(x7774)+P17(x7771,x7772,f47(x7773,x7774))+~P17(f11(x7771,f6(x7771,x7772,x7773,x7774)),f11(x7772,f6(x7771,x7772,x7773,x7774)),x7774)
% 0.80/0.89 [778]~P12(x7784)+P17(x7781,x7782,f47(x7783,x7784))+~P17(f11(x7781,f7(x7781,x7782,x7783,x7784)),f11(x7782,f7(x7781,x7782,x7783,x7784)),x7784)
% 0.80/0.89 [614]~P33(f11(x6142,x6144))+~P33(f11(x6141,x6144))+P33(f11(f21(x6141,x6142,f47(x6143,a1)),x6144))
% 0.80/0.89 [649]P33(f11(x6491,x6492))+P33(f11(x6493,x6492))+~P33(f11(f27(x6491,x6493,f47(x6494,a1)),x6492))
% 0.80/0.89 [710]~P15(x7101,x7105,x7103,x7104)+P15(x7101,x7102,x7103,x7104)+~P15(x7105,x7102,x7103,x7104)
% 0.80/0.89 [498]~P12(x4984)+P17(f11(x4981,x4982),f11(x4983,x4982),x4984)+~P17(x4981,x4983,f47(x4985,x4984))
% 0.80/0.89 [590]~P10(x5903)+P17(x5901,x5902,x5903)+P17(f37(x5901,x5902,x5903),f37(x5904,x5905,x5903),f47(x5903,a1))
% 0.80/0.89 [672]~P15(x6721,x6723,x6724,x6725)+~P18(x6722,f28(x6721,x6724,x6725),x6724)+E(f11(x6721,x6722),f11(x6723,x6722))
% 0.80/0.89 [680]P7(x6801,x6802,x6803,x6804)+~P7(x6801,x6805,x6803,x6804)+~P17(x6802,x6805,f47(x6803,a1))
% 0.80/0.89 [701]P6(x7011,x7012)+~P6(x7013,x7014)+~P17(x7011,f33(x7015,x7013,x7014,x7012),f47(x7012,a1))
% 0.80/0.89 [735]~P4(x7352,x7354,x7355)+~P17(f40(x7352,x7351,x7354,x7355),x7353,f47(x7354,a1))+P17(x7351,f33(x7352,x7353,x7354,x7355),f47(x7355,a1))
% 0.80/0.89 [736]~P5(x7362,x7364,x7365)+~P17(f40(x7362,x7361,x7364,x7365),x7363,f47(x7364,a1))+P17(x7361,f33(x7362,x7363,x7364,x7365),f47(x7365,a1))
% 0.80/0.89 [737]~P5(x7371,x7373,x7374)+~P17(x7372,f33(x7371,x7375,x7373,x7374),f47(x7374,a1))+P17(f40(x7371,x7372,x7373,x7374),x7375,f47(x7373,a1))
% 0.80/0.89 [765]~P4(x7652,x7655,x7653)+~P4(x7651,x7653,x7654)+P4(f14(x7651,x7652,x7653,x7654,x7655),x7655,x7654)
% 0.80/0.89 [766]~P5(x7662,x7665,x7663)+~P5(x7661,x7663,x7664)+P5(f14(x7661,x7662,x7663,x7664,x7665),x7665,x7664)
% 0.80/0.89 [776]~P6(x7762,x7765)+~P17(x7762,f33(x7763,x7761,x7764,x7765),f47(x7765,a1))+P6(f5(x7761,x7762,x7763,x7764,x7765),x7764)
% 0.80/0.89 [780]~P6(x7802,x7805)+~P17(x7802,f33(x7803,x7801,x7804,x7805),f47(x7805,a1))+P17(f5(x7801,x7802,x7803,x7804,x7805),x7801,f47(x7804,a1))
% 0.80/0.89 [639]E(x6391,x6392)+~E(f11(x6393,x6391),f11(x6393,x6392))+~P7(x6393,f31(f47(x6394,a1)),x6394,x6395)
% 0.80/0.89 [663]~P17(x6631,x6634,f47(x6633,a1))+~P17(x6632,x6635,f47(x6633,a1))+P17(f21(x6631,x6632,f47(x6633,a1)),f21(x6634,x6635,f47(x6633,a1)),f47(x6633,a1))
% 0.80/0.89 [664]~P17(x6641,x6644,f47(x6643,a1))+~P17(x6642,x6645,f47(x6643,a1))+P17(f27(x6641,x6642,f47(x6643,a1)),f27(x6644,x6645,f47(x6643,a1)),f47(x6643,a1))
% 0.80/0.89 [665]~P17(x6651,x6654,f47(x6653,a1))+~P17(x6655,x6652,f47(x6653,a1))+P17(f22(x6651,x6652,f47(x6653,a1)),f22(x6654,x6655,f47(x6653,a1)),f47(x6653,a1))
% 0.80/0.89 [709]~P18(x7095,x7091,x7093)+~P7(x7092,x7091,x7093,x7094)+E(f11(f24(x7091,x7092,x7093,x7094),f11(x7092,x7095)),x7095)
% 0.80/0.89 [727]E(x7271,x7272)+~E(f33(x7273,x7271,x7274,x7275),f33(x7273,x7272,x7274,x7275))+~P7(x7273,f31(f47(x7274,a1)),x7274,x7275)
% 0.80/0.89 [732]E(x7321,x7322)+~E(f33(x7323,x7321,x7324,x7325),f33(x7323,x7322,x7324,x7325))+~P7(x7323,f27(x7321,x7322,f47(x7324,a1)),x7324,x7325)
% 0.80/0.89 [733]P18(x7331,x7332,x7333)+~P18(f11(x7334,x7331),f33(x7334,x7332,x7333,x7335),x7335)+~P7(x7334,f31(f47(x7333,a1)),x7333,x7335)
% 0.80/0.89 [742]~P7(x7422,x7421,x7423,x7424)+~P17(x7425,x7421,f47(x7423,a1))+E(f33(f24(x7421,x7422,x7423,x7424),f33(x7422,x7425,x7423,x7424),x7424,x7423),x7425)
% 0.80/0.89 [753]~P17(x7532,f33(x7531,x7535,x7533,x7534),f47(x7534,a1))+P17(f40(x7531,x7532,x7533,x7534),x7535,f47(x7533,a1))+~P7(x7531,f31(f47(x7533,a1)),x7533,x7534)
% 0.80/0.89 [760]~P17(f33(x7604,x7601,x7603,x7605),f33(x7604,x7602,x7603,x7605),f47(x7605,a1))+P17(x7601,x7602,f47(x7603,a1))+~P7(x7604,f31(f47(x7603,a1)),x7603,x7605)
% 0.80/0.89 [782]~P6(x7823,x7825)+~P17(x7823,f33(x7821,x7822,x7824,x7825),f47(x7825,a1))+E(f33(x7821,f5(x7822,x7823,x7821,x7824,x7825),x7824,x7825),x7823)
% 0.80/0.89 [764]~P7(x7641,x7643,x7644,x7645)+P7(x7641,f32(x7642,x7643,x7644),x7644,x7645)+P18(f11(x7641,x7642),f33(x7641,f22(x7643,f32(x7642,f30(f47(x7644,a1)),x7644),f47(x7644,a1)),x7644,x7645),x7645)
% 0.80/0.89 [688]E(x6881,x6882)+E(x6881,x6883)+~E(f32(x6884,f32(x6881,f30(f47(x6885,a1)),x6885),x6885),f32(x6883,f32(x6882,f30(f47(x6885,a1)),x6885),x6885))
% 0.80/0.89 [689]E(x6891,x6892)+E(x6893,x6892)+~E(f32(x6893,f32(x6891,f30(f47(x6894,a1)),x6894),x6894),f32(x6895,f32(x6892,f30(f47(x6894,a1)),x6894),x6894))
% 0.80/0.89 [690]E(x6901,x6902)+E(x6903,x6902)+~E(f32(x6903,f32(x6901,f30(f47(x6904,a1)),x6904),x6904),f32(x6902,f32(x6905,f30(f47(x6904,a1)),x6904),x6904))
% 0.80/0.89 [691]E(x6911,x6912)+E(x6911,x6913)+~E(f32(x6911,f32(x6914,f30(f47(x6915,a1)),x6915),x6915),f32(x6913,f32(x6912,f30(f47(x6915,a1)),x6915),x6915))
% 0.80/0.89 [790]~P5(x7902,x7901,x7903)+~P5(x7904,x7903,x7905)+E(f14(f24(f31(f47(x7901,a1)),x7902,x7901,x7903),f24(f31(f47(x7903,a1)),x7904,x7903,x7905),x7903,x7901,x7905),f24(f31(f47(x7901,a1)),f14(x7904,x7902,x7903,x7905,x7901),x7901,x7905))
% 0.80/0.89 [712]~P18(x7122,x7125,x7126)+P18(f11(x7121,x7122),x7123,x7124)+~P17(f33(x7121,x7125,x7126,x7124),x7123,f47(x7124,a1))
% 0.80/0.89 [787]~P7(x7872,x7876,x7875,x7873)+~P7(x7871,f33(x7872,x7876,x7875,x7873),x7873,x7874)+P7(f14(x7871,x7872,x7873,x7874,x7875),x7876,x7875,x7874)
% 0.80/0.89 [768]~P18(x7682,x7685,x7686)+P18(f11(x7681,x7682),f26(x7683,f47(x7684,a1)),x7684)+~P17(f33(x7681,x7685,x7686,x7684),f11(x7683,f33(x7681,x7685,x7686,x7684)),f47(x7684,a1))
% 0.80/0.89 [793]~P8(x7931,x7938,x7937,x7933,x7934)+~P8(x7932,x7936,x7938,x7935,x7933)+P8(f14(x7931,x7932,x7933,x7934,x7935),x7936,x7937,x7935,x7934)
% 0.80/0.89 [607]~P3(x6071)+~P1(a500)+~P2(a500)+P9(f30(f47(f43(a44),a1)),f32(f11(a25,x6071),f30(f47(f43(a44),a1)),f43(a44)),a44)
% 0.80/0.89 [405]~P20(x4052)+~P6(x4051,x4052)+P18(f16(x4051,x4052),x4051,x4052)+E(x4051,f30(f47(x4052,a1)))
% 0.80/0.89 [406]~P20(x4062)+~P6(x4061,x4062)+P18(f18(x4061,x4062),x4061,x4062)+E(x4061,f30(f47(x4062,a1)))
% 0.80/0.89 [638]~P3(x6382)+P18(f50(x6381),f28(a13,a41,a42),a41)+~P1(a500)+P9(x6381,f32(f11(a25,x6382),f30(f47(f43(a44),a1)),f43(a44)),a44)
% 0.80/0.89 [714]~P3(x7142)+~P1(a500)+P9(x7141,f32(f11(a25,x7142),f30(f47(f43(a44),a1)),f43(a44)),a44)+~P9(x7141,f32(f11(a25,f11(a15,f50(x7141))),f30(f47(f43(a44),a1)),f43(a44)),a44)
% 0.80/0.89 [441]~P17(x4412,x4411,x4413)+~P17(x4411,x4412,x4413)+E(x4411,x4412)+~P10(x4413)
% 0.80/0.89 [452]~P20(x4523)+~P6(x4522,x4523)+~P18(x4521,x4522,x4523)+P17(x4521,f16(x4522,x4523),x4523)
% 0.80/0.89 [453]~P20(x4532)+~P6(x4531,x4532)+~P18(x4533,x4531,x4532)+P17(f18(x4531,x4532),x4533,x4532)
% 0.80/0.89 [465]~P11(x4652)+~E(f21(x4651,x4653,x4652),f30(x4652))+~E(f27(x4651,x4653,x4652),f31(x4652))+E(f23(x4651,x4652),x4653)
% 0.80/0.89 [738]~P6(x7382,x7383)+~P7(x7381,x7382,x7383,x7383)+~P17(f33(x7381,x7382,x7383,x7383),x7382,f47(x7383,a1))+E(f33(x7381,x7382,x7383,x7383),x7382)
% 0.80/0.89 [496]~P10(x4963)+~P17(x4961,x4964,x4963)+P17(x4961,x4962,x4963)+~P17(x4964,x4962,x4963)
% 0.80/0.89 [497]~P32(x4973)+~P17(x4971,x4974,x4973)+P17(x4971,x4972,x4973)+~P17(x4974,x4972,x4973)
% 0.80/0.89 [530]P18(x5303,x5301,x5304)+E(x5301,x5302)+P18(x5303,x5302,x5304)+~E(f32(x5303,x5301,x5304),f32(x5303,x5302,x5304))
% 0.80/0.89 [579]~P24(x5794)+~P17(x5791,x5793,x5794)+~P17(x5791,x5792,x5794)+P17(x5791,f21(x5792,x5793,x5794),x5794)
% 0.80/0.89 [582]~P25(x5823)+~P17(x5822,x5824,x5823)+~P17(x5821,x5824,x5823)+P17(f27(x5821,x5822,x5823),x5824,x5823)
% 0.80/0.89 [640]~P20(x6403)+~P17(x6402,x6404,x6403)+~P17(x6401,x6402,x6403)+E(f27(f38(x6401,x6402,x6403),f37(x6402,x6404,x6403),f47(x6403,a1)),f37(x6401,x6404,x6403))
% 0.80/0.89 [641]~P20(x6413)+~P17(x6412,x6414,x6413)+~P17(x6411,x6412,x6413)+E(f27(f38(x6411,x6412,x6413),f38(x6412,x6414,x6413),f47(x6413,a1)),f38(x6411,x6414,x6413))
% 0.80/0.89 [558]~P29(x5583)+~P17(x5585,x5584,x5583)+P17(x5581,x5582,x5583)+~E(f22(x5584,x5585,x5583),f22(x5582,x5581,x5583))
% 0.80/0.89 [559]~P29(x5593)+~P17(x5595,x5594,x5593)+P17(x5591,x5592,x5593)+~E(f22(x5592,x5591,x5593),f22(x5594,x5595,x5593))
% 0.80/0.89 [629]~P10(x6293)+~P17(x6294,x6291,x6293)+~P17(x6292,x6295,x6293)+P17(f37(x6291,x6292,x6293),f37(x6294,x6295,x6293),f47(x6293,a1))
% 0.80/0.89 [646]~P20(x6463)+P17(x6461,x6462,x6463)+P17(x6464,x6462,x6463)+~P17(f38(x6462,x6461,x6463),f38(x6464,x6465,x6463),f47(x6463,a1))
% 0.80/0.89 [647]~P20(x6473)+P17(x6471,x6472,x6473)+P17(x6471,x6474,x6473)+~P17(f38(x6472,x6471,x6473),f38(x6475,x6474,x6473),f47(x6473,a1))
% 0.80/0.89 [654]~P10(x6543)+P17(x6541,x6542,x6543)+~P17(x6544,x6541,x6543)+~P17(f37(x6544,x6541,x6543),f37(x6545,x6542,x6543),f47(x6543,a1))
% 0.80/0.89 [655]~P10(x6553)+P17(x6551,x6552,x6553)+~P17(x6552,x6554,x6553)+~P17(f37(x6552,x6554,x6553),f37(x6551,x6555,x6553),f47(x6553,a1))
% 0.80/0.89 [785]~P7(x7851,x7853,x7854,x7855)+~P7(x7851,x7852,x7854,x7855)+P7(x7851,f27(x7852,x7853,f47(x7854,a1)),x7854,x7855)+~E(f21(f33(x7851,f22(x7852,x7853,f47(x7854,a1)),x7854,x7855),f33(x7851,f22(x7853,x7852,f47(x7854,a1)),x7854,x7855),f47(x7855,a1)),f30(f47(x7855,a1)))
% 0.80/0.89 [775]E(x7751,x7752)+~P18(x7752,f33(x7754,x7753,x7755,x7756),x7756)+~P18(x7751,f33(x7754,x7753,x7755,x7756),x7756)+~E(f11(f24(x7753,x7754,x7755,x7756),x7751),f11(f24(x7753,x7754,x7755,x7756),x7752))
% 0.80/0.89 [756]~P7(x7561,x7566,x7563,x7564)+~P17(x7562,x7566,f47(x7563,a1))+~P17(x7565,x7566,f47(x7563,a1))+E(f21(f33(x7561,x7562,x7563,x7564),f33(x7561,x7565,x7563,x7564),f47(x7564,a1)),f33(x7561,f21(x7562,x7565,f47(x7563,a1)),x7563,x7564))
% 0.80/0.89 [757]~P7(x7571,x7576,x7573,x7574)+~P17(x7572,x7576,f47(x7573,a1))+~P17(x7575,x7576,f47(x7573,a1))+E(f22(f33(x7571,x7572,x7573,x7574),f33(x7571,x7575,x7573,x7574),f47(x7574,a1)),f33(x7571,f22(x7572,x7575,f47(x7573,a1)),x7573,x7574))
% 0.80/0.89 [797]~P7(x7972,x7971,x7973,x7974)+~P7(x7975,f33(x7972,x7971,x7973,x7974),x7974,x7976)+~P18(x7977,f33(x7975,f33(x7972,x7971,x7973,x7974),x7974,x7976),x7976)+E(f11(f14(f24(x7971,x7972,x7973,x7974),f24(f33(x7972,x7971,x7973,x7974),x7975,x7974,x7976),x7974,x7973,x7976),x7977),f11(f24(x7971,f14(x7975,x7972,x7974,x7976,x7973),x7973,x7976),x7977))
% 0.80/0.89 [535]~P20(x5352)+~P6(x5353,x5352)+P17(f18(x5353,x5352),f18(x5351,x5352),x5352)+~P17(x5351,x5353,f47(x5352,a1))+E(x5351,f30(f47(x5352,a1)))
% 0.80/0.89 [536]~P20(x5362)+~P6(x5363,x5362)+P17(f16(x5361,x5362),f16(x5363,x5362),x5362)+~P17(x5361,x5363,f47(x5362,a1))+E(x5361,f30(f47(x5362,a1)))
% 0.80/0.89 [659]~P18(x6591,x6594,x6595)+E(x6591,x6592)+~P7(x6593,x6594,x6595,x6596)+~P18(x6592,x6594,x6595)+~E(f11(x6593,x6591),f11(x6593,x6592))
% 0.80/0.89 [767]~P6(x7673,x7674)+~P6(x7671,x7672)+~P7(x7675,x7671,x7672,x7674)+~P7(x7676,x7673,x7674,x7672)+~P17(f33(x7675,x7671,x7672,x7674),x7673,f47(x7674,a1))+~P17(f33(x7676,x7673,x7674,x7672),x7671,f47(x7672,a1))+E(f17(x7671,x7672),f17(x7673,x7674))
% 0.80/0.89 %EqnAxiom
% 0.80/0.89 [1]E(x11,x11)
% 0.80/0.89 [2]E(x22,x21)+~E(x21,x22)
% 0.80/0.89 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.80/0.89 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.80/0.89 [5]~E(x51,x52)+E(f11(x51,x53),f11(x52,x53))
% 0.80/0.89 [6]~E(x61,x62)+E(f11(x63,x61),f11(x63,x62))
% 0.80/0.89 [7]~E(x71,x72)+E(f12(x71),f12(x72))
% 0.80/0.89 [8]~E(x81,x82)+E(f43(x81),f43(x82))
% 0.80/0.89 [9]~E(x91,x92)+E(f19(x91),f19(x92))
% 0.80/0.89 [10]~E(x101,x102)+E(f20(x101,x103),f20(x102,x103))
% 0.80/0.89 [11]~E(x111,x112)+E(f20(x113,x111),f20(x113,x112))
% 0.80/0.89 [12]~E(x121,x122)+E(f3(x121,x123,x124,x125,x126),f3(x122,x123,x124,x125,x126))
% 0.80/0.89 [13]~E(x131,x132)+E(f3(x133,x131,x134,x135,x136),f3(x133,x132,x134,x135,x136))
% 0.80/0.89 [14]~E(x141,x142)+E(f3(x143,x144,x141,x145,x146),f3(x143,x144,x142,x145,x146))
% 0.80/0.89 [15]~E(x151,x152)+E(f3(x153,x154,x155,x151,x156),f3(x153,x154,x155,x152,x156))
% 0.80/0.89 [16]~E(x161,x162)+E(f3(x163,x164,x165,x166,x161),f3(x163,x164,x165,x166,x162))
% 0.80/0.89 [17]~E(x171,x172)+E(f14(x171,x173,x174,x175,x176),f14(x172,x173,x174,x175,x176))
% 0.80/0.89 [18]~E(x181,x182)+E(f14(x183,x181,x184,x185,x186),f14(x183,x182,x184,x185,x186))
% 0.80/0.89 [19]~E(x191,x192)+E(f14(x193,x194,x191,x195,x196),f14(x193,x194,x192,x195,x196))
% 0.80/0.89 [20]~E(x201,x202)+E(f14(x203,x204,x205,x201,x206),f14(x203,x204,x205,x202,x206))
% 0.80/0.89 [21]~E(x211,x212)+E(f14(x213,x214,x215,x216,x211),f14(x213,x214,x215,x216,x212))
% 0.80/0.89 [22]~E(x221,x222)+E(f24(x221,x223,x224,x225),f24(x222,x223,x224,x225))
% 0.80/0.89 [23]~E(x231,x232)+E(f24(x233,x231,x234,x235),f24(x233,x232,x234,x235))
% 0.80/0.89 [24]~E(x241,x242)+E(f24(x243,x244,x241,x245),f24(x243,x244,x242,x245))
% 0.80/0.89 [25]~E(x251,x252)+E(f24(x253,x254,x255,x251),f24(x253,x254,x255,x252))
% 0.80/0.89 [26]~E(x261,x262)+E(f47(x261,x263),f47(x262,x263))
% 0.80/0.89 [27]~E(x271,x272)+E(f47(x273,x271),f47(x273,x272))
% 0.80/0.89 [28]~E(x281,x282)+E(f30(x281),f30(x282))
% 0.80/0.89 [29]~E(x291,x292)+E(f33(x291,x293,x294,x295),f33(x292,x293,x294,x295))
% 0.80/0.89 [30]~E(x301,x302)+E(f33(x303,x301,x304,x305),f33(x303,x302,x304,x305))
% 0.80/0.89 [31]~E(x311,x312)+E(f33(x313,x314,x311,x315),f33(x313,x314,x312,x315))
% 0.80/0.89 [32]~E(x321,x322)+E(f33(x323,x324,x325,x321),f33(x323,x324,x325,x322))
% 0.80/0.89 [33]~E(x331,x332)+E(f32(x331,x333,x334),f32(x332,x333,x334))
% 0.80/0.89 [34]~E(x341,x342)+E(f32(x343,x341,x344),f32(x343,x342,x344))
% 0.80/0.89 [35]~E(x351,x352)+E(f32(x353,x354,x351),f32(x353,x354,x352))
% 0.80/0.89 [36]~E(x361,x362)+E(f23(x361,x363),f23(x362,x363))
% 0.80/0.89 [37]~E(x371,x372)+E(f23(x373,x371),f23(x373,x372))
% 0.80/0.89 [38]~E(x381,x382)+E(f21(x381,x383,x384),f21(x382,x383,x384))
% 0.80/0.89 [39]~E(x391,x392)+E(f21(x393,x391,x394),f21(x393,x392,x394))
% 0.80/0.89 [40]~E(x401,x402)+E(f21(x403,x404,x401),f21(x403,x404,x402))
% 0.80/0.89 [41]~E(x411,x412)+E(f36(x411,x413),f36(x412,x413))
% 0.80/0.89 [42]~E(x421,x422)+E(f36(x423,x421),f36(x423,x422))
% 0.80/0.89 [43]~E(x431,x432)+E(f27(x431,x433,x434),f27(x432,x433,x434))
% 0.80/0.89 [44]~E(x441,x442)+E(f27(x443,x441,x444),f27(x443,x442,x444))
% 0.80/0.89 [45]~E(x451,x452)+E(f27(x453,x454,x451),f27(x453,x454,x452))
% 0.80/0.89 [46]~E(x461,x462)+E(f35(x461,x463),f35(x462,x463))
% 0.80/0.89 [47]~E(x471,x472)+E(f35(x473,x471),f35(x473,x472))
% 0.80/0.89 [48]~E(x481,x482)+E(f22(x481,x483,x484),f22(x482,x483,x484))
% 0.80/0.89 [49]~E(x491,x492)+E(f22(x493,x491,x494),f22(x493,x492,x494))
% 0.80/0.89 [50]~E(x501,x502)+E(f22(x503,x504,x501),f22(x503,x504,x502))
% 0.80/0.89 [51]~E(x511,x512)+E(f37(x511,x513,x514),f37(x512,x513,x514))
% 0.80/0.89 [52]~E(x521,x522)+E(f37(x523,x521,x524),f37(x523,x522,x524))
% 0.80/0.89 [53]~E(x531,x532)+E(f37(x533,x534,x531),f37(x533,x534,x532))
% 0.80/0.89 [54]~E(x541,x542)+E(f16(x541,x543),f16(x542,x543))
% 0.80/0.89 [55]~E(x551,x552)+E(f16(x553,x551),f16(x553,x552))
% 0.80/0.89 [56]~E(x561,x562)+E(f31(x561),f31(x562))
% 0.80/0.89 [57]~E(x571,x572)+E(f17(x571,x573),f17(x572,x573))
% 0.80/0.89 [58]~E(x581,x582)+E(f17(x583,x581),f17(x583,x582))
% 0.80/0.89 [59]~E(x591,x592)+E(f40(x591,x593,x594,x595),f40(x592,x593,x594,x595))
% 0.80/0.89 [60]~E(x601,x602)+E(f40(x603,x601,x604,x605),f40(x603,x602,x604,x605))
% 0.80/0.89 [61]~E(x611,x612)+E(f40(x613,x614,x611,x615),f40(x613,x614,x612,x615))
% 0.80/0.89 [62]~E(x621,x622)+E(f40(x623,x624,x625,x621),f40(x623,x624,x625,x622))
% 0.80/0.89 [63]~E(x631,x632)+E(f34(x631,x633),f34(x632,x633))
% 0.80/0.89 [64]~E(x641,x642)+E(f34(x643,x641),f34(x643,x642))
% 0.80/0.89 [65]~E(x651,x652)+E(f39(x651,x653),f39(x652,x653))
% 0.80/0.89 [66]~E(x661,x662)+E(f39(x663,x661),f39(x663,x662))
% 0.80/0.89 [67]~E(x671,x672)+E(f6(x671,x673,x674,x675),f6(x672,x673,x674,x675))
% 0.80/0.89 [68]~E(x681,x682)+E(f6(x683,x681,x684,x685),f6(x683,x682,x684,x685))
% 0.80/0.89 [69]~E(x691,x692)+E(f6(x693,x694,x691,x695),f6(x693,x694,x692,x695))
% 0.80/0.89 [70]~E(x701,x702)+E(f6(x703,x704,x705,x701),f6(x703,x704,x705,x702))
% 0.80/0.89 [71]~E(x711,x712)+E(f28(x711,x713,x714),f28(x712,x713,x714))
% 0.80/0.89 [72]~E(x721,x722)+E(f28(x723,x721,x724),f28(x723,x722,x724))
% 0.80/0.89 [73]~E(x731,x732)+E(f28(x733,x734,x731),f28(x733,x734,x732))
% 0.80/0.89 [74]~E(x741,x742)+E(f9(x741,x743,x744,x745,x746),f9(x742,x743,x744,x745,x746))
% 0.80/0.89 [75]~E(x751,x752)+E(f9(x753,x751,x754,x755,x756),f9(x753,x752,x754,x755,x756))
% 0.80/0.89 [76]~E(x761,x762)+E(f9(x763,x764,x761,x765,x766),f9(x763,x764,x762,x765,x766))
% 0.80/0.89 [77]~E(x771,x772)+E(f9(x773,x774,x775,x771,x776),f9(x773,x774,x775,x772,x776))
% 0.80/0.89 [78]~E(x781,x782)+E(f9(x783,x784,x785,x786,x781),f9(x783,x784,x785,x786,x782))
% 0.80/0.89 [79]~E(x791,x792)+E(f18(x791,x793),f18(x792,x793))
% 0.80/0.89 [80]~E(x801,x802)+E(f18(x803,x801),f18(x803,x802))
% 0.80/0.89 [81]~E(x811,x812)+E(f38(x811,x813,x814),f38(x812,x813,x814))
% 0.80/0.89 [82]~E(x821,x822)+E(f38(x823,x821,x824),f38(x823,x822,x824))
% 0.80/0.89 [83]~E(x831,x832)+E(f38(x833,x834,x831),f38(x833,x834,x832))
% 0.80/0.89 [84]~E(x841,x842)+E(f8(x841,x843,x844,x845,x846),f8(x842,x843,x844,x845,x846))
% 0.80/0.89 [85]~E(x851,x852)+E(f8(x853,x851,x854,x855,x856),f8(x853,x852,x854,x855,x856))
% 0.80/0.89 [86]~E(x861,x862)+E(f8(x863,x864,x861,x865,x866),f8(x863,x864,x862,x865,x866))
% 0.80/0.89 [87]~E(x871,x872)+E(f8(x873,x874,x875,x871,x876),f8(x873,x874,x875,x872,x876))
% 0.80/0.89 [88]~E(x881,x882)+E(f8(x883,x884,x885,x886,x881),f8(x883,x884,x885,x886,x882))
% 0.80/0.89 [89]~E(x891,x892)+E(f10(x891,x893,x894,x895,x896),f10(x892,x893,x894,x895,x896))
% 0.80/0.89 [90]~E(x901,x902)+E(f10(x903,x901,x904,x905,x906),f10(x903,x902,x904,x905,x906))
% 0.80/0.89 [91]~E(x911,x912)+E(f10(x913,x914,x911,x915,x916),f10(x913,x914,x912,x915,x916))
% 0.80/0.89 [92]~E(x921,x922)+E(f10(x923,x924,x925,x921,x926),f10(x923,x924,x925,x922,x926))
% 0.80/0.89 [93]~E(x931,x932)+E(f10(x933,x934,x935,x936,x931),f10(x933,x934,x935,x936,x932))
% 0.80/0.89 [94]~E(x941,x942)+E(f45(x941),f45(x942))
% 0.80/0.89 [95]~E(x951,x952)+E(f4(x951,x953,x954,x955,x956),f4(x952,x953,x954,x955,x956))
% 0.80/0.89 [96]~E(x961,x962)+E(f4(x963,x961,x964,x965,x966),f4(x963,x962,x964,x965,x966))
% 0.80/0.89 [97]~E(x971,x972)+E(f4(x973,x974,x971,x975,x976),f4(x973,x974,x972,x975,x976))
% 0.80/0.89 [98]~E(x981,x982)+E(f4(x983,x984,x985,x981,x986),f4(x983,x984,x985,x982,x986))
% 0.80/0.89 [99]~E(x991,x992)+E(f4(x993,x994,x995,x996,x991),f4(x993,x994,x995,x996,x992))
% 0.80/0.89 [100]~E(x1001,x1002)+E(f5(x1001,x1003,x1004,x1005,x1006),f5(x1002,x1003,x1004,x1005,x1006))
% 0.80/0.89 [101]~E(x1011,x1012)+E(f5(x1013,x1011,x1014,x1015,x1016),f5(x1013,x1012,x1014,x1015,x1016))
% 0.80/0.89 [102]~E(x1021,x1022)+E(f5(x1023,x1024,x1021,x1025,x1026),f5(x1023,x1024,x1022,x1025,x1026))
% 0.80/0.89 [103]~E(x1031,x1032)+E(f5(x1033,x1034,x1035,x1031,x1036),f5(x1033,x1034,x1035,x1032,x1036))
% 0.80/0.89 [104]~E(x1041,x1042)+E(f5(x1043,x1044,x1045,x1046,x1041),f5(x1043,x1044,x1045,x1046,x1042))
% 0.80/0.89 [105]~E(x1051,x1052)+E(f7(x1051,x1053,x1054,x1055),f7(x1052,x1053,x1054,x1055))
% 0.80/0.89 [106]~E(x1061,x1062)+E(f7(x1063,x1061,x1064,x1065),f7(x1063,x1062,x1064,x1065))
% 0.80/0.89 [107]~E(x1071,x1072)+E(f7(x1073,x1074,x1071,x1075),f7(x1073,x1074,x1072,x1075))
% 0.80/0.89 [108]~E(x1081,x1082)+E(f7(x1083,x1084,x1085,x1081),f7(x1083,x1084,x1085,x1082))
% 0.80/0.89 [109]~E(x1091,x1092)+E(f29(x1091,x1093,x1094),f29(x1092,x1093,x1094))
% 0.80/0.89 [110]~E(x1101,x1102)+E(f29(x1103,x1101,x1104),f29(x1103,x1102,x1104))
% 0.80/0.89 [111]~E(x1111,x1112)+E(f29(x1113,x1114,x1111),f29(x1113,x1114,x1112))
% 0.80/0.89 [112]~E(x1121,x1122)+E(f26(x1121,x1123),f26(x1122,x1123))
% 0.80/0.89 [113]~E(x1131,x1132)+E(f26(x1133,x1131),f26(x1133,x1132))
% 0.80/0.89 [114]~E(x1141,x1142)+E(f49(x1141),f49(x1142))
% 0.80/0.89 [115]~E(x1151,x1152)+E(f50(x1151),f50(x1152))
% 0.80/0.89 [116]~P1(x1161)+P1(x1162)+~E(x1161,x1162)
% 0.80/0.89 [117]~P2(x1171)+P2(x1172)+~E(x1171,x1172)
% 0.80/0.89 [118]~P10(x1181)+P10(x1182)+~E(x1181,x1182)
% 0.80/0.89 [119]P17(x1192,x1193,x1194)+~E(x1191,x1192)+~P17(x1191,x1193,x1194)
% 0.80/0.89 [120]P17(x1203,x1202,x1204)+~E(x1201,x1202)+~P17(x1203,x1201,x1204)
% 0.80/0.89 [121]P17(x1213,x1214,x1212)+~E(x1211,x1212)+~P17(x1213,x1214,x1211)
% 0.80/0.89 [122]~P11(x1221)+P11(x1222)+~E(x1221,x1222)
% 0.80/0.89 [123]~P20(x1231)+P20(x1232)+~E(x1231,x1232)
% 0.80/0.89 [124]~P21(x1241)+P21(x1242)+~E(x1241,x1242)
% 0.80/0.89 [125]P9(x1252,x1253,x1254)+~E(x1251,x1252)+~P9(x1251,x1253,x1254)
% 0.80/0.89 [126]P9(x1263,x1262,x1264)+~E(x1261,x1262)+~P9(x1263,x1261,x1264)
% 0.80/0.89 [127]P9(x1273,x1274,x1272)+~E(x1271,x1272)+~P9(x1273,x1274,x1271)
% 0.80/0.89 [128]~P24(x1281)+P24(x1282)+~E(x1281,x1282)
% 0.80/0.89 [129]P18(x1292,x1293,x1294)+~E(x1291,x1292)+~P18(x1291,x1293,x1294)
% 0.80/0.89 [130]P18(x1303,x1302,x1304)+~E(x1301,x1302)+~P18(x1303,x1301,x1304)
% 0.80/0.89 [131]P18(x1313,x1314,x1312)+~E(x1311,x1312)+~P18(x1313,x1314,x1311)
% 0.80/0.89 [132]~P25(x1321)+P25(x1322)+~E(x1321,x1322)
% 0.80/0.89 [133]P15(x1332,x1333,x1334,x1335)+~E(x1331,x1332)+~P15(x1331,x1333,x1334,x1335)
% 0.80/0.89 [134]P15(x1343,x1342,x1344,x1345)+~E(x1341,x1342)+~P15(x1343,x1341,x1344,x1345)
% 0.80/0.89 [135]P15(x1353,x1354,x1352,x1355)+~E(x1351,x1352)+~P15(x1353,x1354,x1351,x1355)
% 0.80/0.89 [136]P15(x1363,x1364,x1365,x1362)+~E(x1361,x1362)+~P15(x1363,x1364,x1365,x1361)
% 0.80/0.89 [137]~P22(x1371)+P22(x1372)+~E(x1371,x1372)
% 0.80/0.89 [138]P7(x1382,x1383,x1384,x1385)+~E(x1381,x1382)+~P7(x1381,x1383,x1384,x1385)
% 0.80/0.89 [139]P7(x1393,x1392,x1394,x1395)+~E(x1391,x1392)+~P7(x1393,x1391,x1394,x1395)
% 0.80/0.89 [140]P7(x1403,x1404,x1402,x1405)+~E(x1401,x1402)+~P7(x1403,x1404,x1401,x1405)
% 0.80/0.89 [141]P7(x1413,x1414,x1415,x1412)+~E(x1411,x1412)+~P7(x1413,x1414,x1415,x1411)
% 0.80/0.89 [142]~P23(x1421)+P23(x1422)+~E(x1421,x1422)
% 0.80/0.89 [143]~P12(x1431)+P12(x1432)+~E(x1431,x1432)
% 0.80/0.89 [144]P6(x1442,x1443)+~E(x1441,x1442)+~P6(x1441,x1443)
% 0.80/0.89 [145]P6(x1453,x1452)+~E(x1451,x1452)+~P6(x1453,x1451)
% 0.80/0.89 [146]~P13(x1461)+P13(x1462)+~E(x1461,x1462)
% 0.80/0.89 [147]~P31(x1471)+P31(x1472)+~E(x1471,x1472)
% 0.80/0.89 [148]~P26(x1481)+P26(x1482)+~E(x1481,x1482)
% 0.80/0.89 [149]P5(x1492,x1493,x1494)+~E(x1491,x1492)+~P5(x1491,x1493,x1494)
% 0.80/0.89 [150]P5(x1503,x1502,x1504)+~E(x1501,x1502)+~P5(x1503,x1501,x1504)
% 0.80/0.89 [151]P5(x1513,x1514,x1512)+~E(x1511,x1512)+~P5(x1513,x1514,x1511)
% 0.80/0.89 [152]~P19(x1521)+P19(x1522)+~E(x1521,x1522)
% 0.80/0.89 [153]~P32(x1531)+P32(x1532)+~E(x1531,x1532)
% 0.80/0.89 [154]~P3(x1541)+P3(x1542)+~E(x1541,x1542)
% 0.80/0.89 [155]P14(x1552,x1553,x1554)+~E(x1551,x1552)+~P14(x1551,x1553,x1554)
% 0.80/0.89 [156]P14(x1563,x1562,x1564)+~E(x1561,x1562)+~P14(x1563,x1561,x1564)
% 0.80/0.89 [157]P14(x1573,x1574,x1572)+~E(x1571,x1572)+~P14(x1573,x1574,x1571)
% 0.80/0.89 [158]P4(x1582,x1583,x1584)+~E(x1581,x1582)+~P4(x1581,x1583,x1584)
% 0.80/0.89 [159]P4(x1593,x1592,x1594)+~E(x1591,x1592)+~P4(x1593,x1591,x1594)
% 0.80/0.89 [160]P4(x1603,x1604,x1602)+~E(x1601,x1602)+~P4(x1603,x1604,x1601)
% 0.80/0.89 [161]~P33(x1611)+P33(x1612)+~E(x1611,x1612)
% 0.80/0.89 [162]P16(x1622,x1623,x1624)+~E(x1621,x1622)+~P16(x1621,x1623,x1624)
% 0.80/0.89 [163]P16(x1633,x1632,x1634)+~E(x1631,x1632)+~P16(x1633,x1631,x1634)
% 0.80/0.89 [164]P16(x1643,x1644,x1642)+~E(x1641,x1642)+~P16(x1643,x1644,x1641)
% 0.80/0.89 [165]~P30(x1651)+P30(x1652)+~E(x1651,x1652)
% 0.80/0.89 [166]~P27(x1661)+P27(x1662)+~E(x1661,x1662)
% 0.80/0.89 [167]~P29(x1671)+P29(x1672)+~E(x1671,x1672)
% 0.80/0.89 [168]P8(x1682,x1683,x1684,x1685,x1686)+~E(x1681,x1682)+~P8(x1681,x1683,x1684,x1685,x1686)
% 0.80/0.89 [169]P8(x1693,x1692,x1694,x1695,x1696)+~E(x1691,x1692)+~P8(x1693,x1691,x1694,x1695,x1696)
% 0.80/0.89 [170]P8(x1703,x1704,x1702,x1705,x1706)+~E(x1701,x1702)+~P8(x1703,x1704,x1701,x1705,x1706)
% 0.80/0.89 [171]P8(x1713,x1714,x1715,x1712,x1716)+~E(x1711,x1712)+~P8(x1713,x1714,x1715,x1711,x1716)
% 0.80/0.89 [172]P8(x1723,x1724,x1725,x1726,x1722)+~E(x1721,x1722)+~P8(x1723,x1724,x1725,x1726,x1721)
% 0.80/0.89 [173]~P28(x1731)+P28(x1732)+~E(x1731,x1732)
% 0.80/0.89
% 0.80/0.89 %-------------------------------------------
% 0.80/0.89 cnf(799,plain,
% 0.80/0.89 ($false),
% 0.80/0.89 inference(scs_inference,[],[212,335,642]),
% 0.80/0.89 ['proof']).
% 0.80/0.89 % SZS output end Proof
% 0.80/0.89 % Total time :0.040000s
%------------------------------------------------------------------------------