TSTP Solution File: SWV907-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV907-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:35:46 EDT 2023
% Result : Unsatisfiable 4.95s 5.00s
% Output : CNFRefutation 4.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV907-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 05:52:04 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.59 start to proof:theBenchmark
% 4.84/4.95 %-------------------------------------------
% 4.84/4.95 % File :CSE---1.6
% 4.84/4.95 % Problem :theBenchmark
% 4.84/4.95 % Transform :cnf
% 4.84/4.95 % Format :tptp:raw
% 4.84/4.95 % Command :java -jar mcs_scs.jar %d %s
% 4.84/4.95
% 4.84/4.95 % Result :Theorem 4.140000s
% 4.84/4.95 % Output :CNFRefutation 4.140000s
% 4.84/4.95 %-------------------------------------------
% 4.84/4.96 %------------------------------------------------------------------------------
% 4.84/4.96 % File : SWV907-1 : TPTP v8.1.2. Released v4.1.0.
% 4.84/4.96 % Domain : Software Verification
% 4.84/4.96 % Problem : Hoare logic with procedures 456_1
% 4.84/4.96 % Version : Especial.
% 4.84/4.96 % English : Completeness is taken relative to completeness of the underlying
% 4.84/4.96 % logic. Two versions of completeness proof: nested single recursion
% 4.84/4.96 % and simultaneous recursion in call rule.
% 4.84/4.96
% 4.84/4.96 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 4.84/4.96 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 4.84/4.96 % Source : [Nip10]
% 4.84/4.96 % Names : Hoare-456_1 [Nip10]
% 4.84/4.96
% 4.84/4.96 % Status : Unsatisfiable
% 4.84/4.96 % Rating : 0.38 v8.1.0, 0.32 v7.5.0, 0.37 v7.4.0, 0.41 v7.3.0, 0.17 v7.1.0, 0.08 v7.0.0, 0.27 v6.4.0, 0.40 v6.3.0, 0.27 v6.2.0, 0.30 v6.1.0, 0.50 v5.5.0, 0.75 v5.3.0, 0.72 v5.2.0, 0.69 v5.1.0, 0.71 v5.0.0, 0.64 v4.1.0
% 4.84/4.96 % Syntax : Number of clauses : 551 ( 211 unt; 41 nHn; 302 RR)
% 4.84/4.96 % Number of literals : 1044 ( 400 equ; 525 neg)
% 4.84/4.96 % Maximal clause size : 5 ( 1 avg)
% 4.84/4.96 % Maximal term depth : 6 ( 1 avg)
% 4.84/4.96 % Number of predicates : 23 ( 22 usr; 2 prp; 0-4 aty)
% 4.84/4.96 % Number of functors : 57 ( 57 usr; 15 con; 0-10 aty)
% 4.84/4.96 % Number of variables : 2039 ( 656 sgn)
% 4.84/4.96 % SPC : CNF_UNS_RFO_SEQ_NHN
% 4.84/4.96
% 4.84/4.96 % Comments :
% 4.84/4.96 %------------------------------------------------------------------------------
% 4.84/4.96 cnf(cls_com_Osimps_I3_J_0,axiom,
% 4.84/4.96 ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H)
% 4.84/4.96 | V_com1 = V_com1_H ) ).
% 4.84/4.96
% 4.84/4.96 cnf(cls_com_Osimps_I46_J_0,axiom,
% 4.84/4.96 c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ).
% 4.84/4.96
% 4.84/4.96 cnf(cls_Sup__insert_0,axiom,
% 4.84/4.96 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 4.84/4.96 | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,V_A,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_a,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a) ) ).
% 4.84/4.96
% 4.84/4.96 cnf(cls_sup__top__right_0,axiom,
% 4.84/4.96 ( ~ class_Lattices_Obounded__lattice(T_a)
% 4.84/4.96 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 4.84/4.96
% 4.84/4.96 cnf(cls_sup__top__left_0,axiom,
% 4.84/4.96 ( ~ class_Lattices_Obounded__lattice(T_a)
% 4.84/4.96 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 4.84/4.96
% 4.84/4.96 cnf(cls_Un__UNIV__left_0,axiom,
% 4.84/4.96 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)) ).
% 4.84/4.96
% 4.84/4.96 cnf(cls_Un__UNIV__right_0,axiom,
% 4.84/4.96 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)) ).
% 4.84/4.96
% 4.84/4.96 cnf(cls_com_Osimps_I44_J_0,axiom,
% 4.84/4.96 c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ).
% 4.84/4.96
% 4.84/4.96 cnf(cls_com_Osimps_I3_J_1,axiom,
% 4.84/4.96 ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H)
% 4.84/4.96 | V_com2 = V_com2_H ) ).
% 4.84/4.96
% 4.84/4.96 cnf(cls_Un__insert__right_0,axiom,
% 4.84/4.96 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) ).
% 4.84/4.96
% 4.84/4.96 cnf(cls_Un__insert__left_0,axiom,
% 4.84/4.96 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) ).
% 4.84/4.96
% 4.84/4.96 cnf(cls_evalc_OWhileFalse_0,axiom,
% 4.84/4.96 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c)),V_s),V_s))
% 4.84/4.96 | hBOOL(hAPP(V_b,V_s)) ) ).
% 4.84/4.96
% 4.84/4.96 cnf(cls_com_Osimps_I39_J_0,axiom,
% 4.84/4.96 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com) ).
% 4.84/4.96
% 4.84/4.96 cnf(cls_com_Osimps_I17_J_0,axiom,
% 4.84/4.96 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSKIP ).
% 4.84/4.96
% 4.84/4.96 cnf(cls_map__add__upd__left_0,axiom,
% 4.84/4.96 ( c_Map_Omap__add(c_Fun_Ofun__upd(V_e1,V_m,hAPP(c_Option_Ooption_OSome(T_b),V_u1),T_a,tc_Option_Ooption(T_b)),V_e2,T_a,T_b) = c_Fun_Ofun__upd(c_Map_Omap__add(V_e1,V_e2,T_a,T_b),V_m,hAPP(c_Option_Ooption_OSome(T_b),V_u1),T_a,tc_Option_Ooption(T_b))
% 4.84/4.96 | hBOOL(c_in(V_m,c_Map_Odom(V_e2,T_a,T_b),T_a)) ) ).
% 4.84/4.96
% 4.84/4.96 cnf(cls_com_Orecs_I4_J_0,axiom,
% 4.84/4.96 c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSemi(V_com1,V_com2),T_a) = hAPP(hAPP(hAPP(hAPP(V_f4,V_com1),V_com2),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com1,T_a)),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com2,T_a)) ).
% 4.84/4.96
% 4.84/4.96 cnf(cls_com_Osimps_I7_J_0,axiom,
% 4.84/4.96 ( c_Com_Ocom_OCall(V_vname,V_pname,V_fun) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)
% 4.84/4.96 | V_vname = V_vname_H ) ).
% 4.84/4.96
% 4.84/4.96 cnf(cls_com_Osimps_I7_J_1,axiom,
% 4.84/4.96 ( c_Com_Ocom_OCall(V_vname,V_pname,V_fun) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)
% 4.84/4.96 | V_pname = V_pname_H ) ).
% 4.84/4.96
% 4.84/4.96 cnf(cls_com_Osimps_I7_J_2,axiom,
% 4.84/4.96 ( c_Com_Ocom_OCall(V_vname,V_pname,V_fun) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H)
% 4.84/4.96 | V_fun = V_fun_H ) ).
% 4.84/4.96
% 4.84/4.96 cnf(cls_com_Orecs_I3_J_0,axiom,
% 4.84/4.96 c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OLocal(V_loc,V_fun,V_com),T_a) = hAPP(hAPP(hAPP(hAPP(V_f3,V_loc),V_fun),V_com),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com,T_a)) ).
% 4.84/4.96
% 4.84/4.96 cnf(cls_com_Osimps_I24_J_0,axiom,
% 4.84/4.96 c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ).
% 4.84/4.96
% 4.84/4.96 cnf(cls_com_Orecs_I1_J_0,axiom,
% 4.84/4.96 c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSKIP,T_a) = V_f1 ).
% 4.84/4.96
% 4.84/4.96 cnf(cls_subset__insertI2_0,axiom,
% 4.84/4.96 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool))
% 4.84/4.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.84/4.96
% 4.84/4.96 cnf(cls_insert__subset_1,axiom,
% 4.84/4.96 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.84/4.96 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.84/4.96
% 4.84/4.96 cnf(cls_com_Osimps_I36_J_0,axiom,
% 4.84/4.96 c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ).
% 4.84/4.96
% 4.84/4.96 cnf(cls_com_Osimps_I56_J_0,axiom,
% 4.84/4.96 c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ).
% 4.84/4.96
% 4.84/4.96 cnf(cls_inj__on__insert_0,axiom,
% 4.84/4.96 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 4.84/4.96 | ~ c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) ) ).
% 4.84/4.96
% 4.84/4.96 cnf(cls_inj__image__subset__iff_1,axiom,
% 4.84/4.96 ( 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))
% 4.84/4.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.84/4.97 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_inj__image__subset__iff_0,axiom,
% 4.84/4.97 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.84/4.97 | ~ 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))
% 4.84/4.97 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_inj__on__image__Int_0,axiom,
% 4.84/4.97 ( 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))
% 4.84/4.97 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 4.84/4.97 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 4.84/4.97 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_finite__surj_0,axiom,
% 4.84/4.97 ( c_Finite__Set_Ofinite(V_B,T_b)
% 4.84/4.97 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))
% 4.84/4.97 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_image__subset__iff_0,axiom,
% 4.84/4.97 ( hBOOL(c_in(hAPP(V_f,V_x),V_B,T_a))
% 4.84/4.97 | ~ hBOOL(c_in(V_x,V_A,T_b))
% 4.84/4.97 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_image__constant_0,axiom,
% 4.84/4.97 ( c_Set_Oimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b) = c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b)
% 4.84/4.97 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_singletonE_0,axiom,
% 4.84/4.97 ( V_b = V_a
% 4.84/4.97 | ~ hBOOL(c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_sup__fun__eq_0,axiom,
% 4.84/4.97 ( ~ class_Lattices_Olattice(T_b)
% 4.84/4.97 | hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_f,V_g,tc_fun(t_a,T_b)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_Int__Un__distrib2_0,axiom,
% 4.84/4.97 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)) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_Int__Un__distrib_0,axiom,
% 4.84/4.97 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)) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_inf__sup__distrib1_0,axiom,
% 4.84/4.97 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 4.84/4.97 | 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) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_inf__sup__distrib2_0,axiom,
% 4.84/4.97 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 4.84/4.97 | 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) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_Un__absorb_0,axiom,
% 4.84/4.97 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_sup__idem_0,axiom,
% 4.84/4.97 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.84/4.97 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_com_Osimps_I51_J_0,axiom,
% 4.84/4.97 c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_insert__iff_1,axiom,
% 4.84/4.97 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_insertI1_0,axiom,
% 4.84/4.97 hBOOL(c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a)) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_insertCI_1,axiom,
% 4.84/4.97 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_com_Osimps_I71_J_0,axiom,
% 4.84/4.97 c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCall(V_vname,V_pname,V_fun),T_a) = hAPP(hAPP(hAPP(V_f8,V_vname),V_pname),V_fun) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_insert__commute_0,axiom,
% 4.84/4.97 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) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_dom__fun__upd_1,axiom,
% 4.84/4.97 ( c_Map_Odom(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,tc_Option_Ooption(T_b)),T_a,T_b) = c_Set_Oinsert(V_x,c_Map_Odom(V_f,T_a,T_b),T_a)
% 4.84/4.97 | V_y = c_Option_Ooption_ONone(T_b) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_mem__def_1,axiom,
% 4.84/4.97 ( hBOOL(c_in(V_x,V_S,T_a))
% 4.84/4.97 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_mem__def_0,axiom,
% 4.84/4.97 ( hBOOL(hAPP(V_S,V_x))
% 4.84/4.97 | ~ hBOOL(c_in(V_x,V_S,T_a)) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_COMBK__def_0,axiom,
% 4.84/4.97 hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_com_Osimps_I65_J_0,axiom,
% 4.84/4.97 c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OAss(V_vname,V_fun),T_a) = hAPP(hAPP(V_f2,V_vname),V_fun) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_option_Osplit_0,axiom,
% 4.84/4.97 ( ~ hBOOL(hAPP(V_P,c_Option_Ooption_Ooption__case(V_f1,V_f2,c_Option_Ooption_ONone(t_b),t_a,t_b)))
% 4.84/4.97 | hBOOL(hAPP(V_P,V_f1)) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_rangeI_0,axiom,
% 4.84/4.97 hBOOL(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)) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_evalc_OWhileTrue_0,axiom,
% 4.84/4.97 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c)),V_s0),V_s2))
% 4.84/4.97 | ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c)),V_s1),V_s2))
% 4.84/4.97 | ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s0),V_s1))
% 4.84/4.97 | ~ hBOOL(hAPP(V_b,V_s0)) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_map__add__empty_0,axiom,
% 4.84/4.97 c_Map_Omap__add(V_m,c_COMBK(c_Option_Ooption_ONone(T_b),tc_Option_Ooption(T_b),T_a),T_a,T_b) = V_m ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_empty__map__add_0,axiom,
% 4.84/4.97 c_Map_Omap__add(c_COMBK(c_Option_Ooption_ONone(T_b),tc_Option_Ooption(T_b),T_a),V_m,T_a,T_b) = V_m ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_evalc_OIfTrue_0,axiom,
% 4.84/4.97 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c0,V_c1)),V_s),V_s1))
% 4.84/4.97 | ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0),V_s),V_s1))
% 4.84/4.97 | ~ hBOOL(hAPP(V_b,V_s)) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_evalc__elim__cases_I5_J_1,axiom,
% 4.84/4.97 ( ~ hBOOL(hAPP(V_b,V_s))
% 4.84/4.97 | hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s),V_t))
% 4.84/4.97 | ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c1,V_c2)),V_s),V_t)) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_option_Orecs_I1_J_0,axiom,
% 4.84/4.97 c_Option_Ooption_Ooption__rec(V_f1,V_f2,c_Option_Ooption_ONone(T_b),T_a,T_b) = V_f1 ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_evalc_OSemi_0,axiom,
% 4.84/4.97 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c0,V_c1)),V_s0),V_s2))
% 4.84/4.97 | ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s1),V_s2))
% 4.84/4.97 | ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0),V_s0),V_s1)) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_Un__left__commute_0,axiom,
% 4.84/4.97 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)) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_Un__assoc_0,axiom,
% 4.84/4.97 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)) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_sup__assoc_0,axiom,
% 4.84/4.97 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.84/4.97 | 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) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_sup__left__commute_0,axiom,
% 4.84/4.97 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.84/4.97 | 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) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 4.84/4.97 ( ~ class_Lattices_Olattice(T_a)
% 4.84/4.97 | 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) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 4.84/4.97 ( ~ class_Lattices_Olattice(T_a)
% 4.84/4.97 | 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) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_IntE_1,axiom,
% 4.84/4.97 ( hBOOL(c_in(V_c,V_B,T_a))
% 4.84/4.97 | ~ hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_IntE_0,axiom,
% 4.84/4.97 ( hBOOL(c_in(V_c,V_A,T_a))
% 4.84/4.97 | ~ hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_inj__on__contraD_0,axiom,
% 4.84/4.97 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 4.84/4.97 | ~ hBOOL(c_in(V_y,V_A,T_a))
% 4.84/4.97 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 4.84/4.97 | V_x = V_y
% 4.84/4.97 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_inj__on__iff_0,axiom,
% 4.84/4.97 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 4.84/4.97 | ~ hBOOL(c_in(V_y,V_A,T_a))
% 4.84/4.97 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 4.84/4.97 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 4.84/4.97 | V_x = V_y ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_inj__on__def_0,axiom,
% 4.84/4.97 ( hAPP(V_f,V_x) != hAPP(V_f,V_xa)
% 4.84/4.97 | ~ hBOOL(c_in(V_xa,V_A,T_a))
% 4.84/4.97 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 4.84/4.97 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 4.84/4.97 | V_x = V_xa ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_inj__onD_0,axiom,
% 4.84/4.97 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 4.84/4.97 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 4.84/4.97 | V_x = V_y
% 4.84/4.97 | ~ hBOOL(c_in(V_y,V_A,T_a))
% 4.84/4.97 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_Int__absorb2_0,axiom,
% 4.84/4.97 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 4.84/4.97 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_Int__absorb1_0,axiom,
% 4.84/4.97 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 4.84/4.97 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_le__iff__inf_0,axiom,
% 4.84/4.97 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.84/4.97 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_x
% 4.84/4.97 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_le__iff__inf_1,axiom,
% 4.84/4.97 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.84/4.97 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != V_x
% 4.84/4.97 | c_lessequals(V_x,V_y,T_a) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_inf__absorb2_0,axiom,
% 4.84/4.97 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.84/4.97 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_y
% 4.84/4.97 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_Un__subset__iff_2,axiom,
% 4.84/4.97 ( 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))
% 4.84/4.97 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 4.84/4.97 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_Un__upper2_0,axiom,
% 4.84/4.97 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)) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_Un__upper1_0,axiom,
% 4.84/4.97 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)) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_Un__least_0,axiom,
% 4.84/4.97 ( 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))
% 4.84/4.97 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 4.84/4.97 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_le__supI_0,axiom,
% 4.84/4.97 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.84/4.97 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
% 4.84/4.97 | ~ c_lessequals(V_b,V_x,T_a)
% 4.84/4.97 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_sup__ge1_0,axiom,
% 4.84/4.97 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.84/4.97 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_sup__ge2_0,axiom,
% 4.84/4.97 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.84/4.97 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_sup__least_0,axiom,
% 4.84/4.97 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.84/4.97 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)
% 4.84/4.97 | ~ c_lessequals(V_z,V_x,T_a)
% 4.84/4.97 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_le__sup__iff_2,axiom,
% 4.84/4.97 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.84/4.97 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
% 4.84/4.97 | ~ c_lessequals(V_y,V_z,T_a)
% 4.84/4.97 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 4.84/4.97 ( ~ class_Lattices_Olattice(T_a)
% 4.84/4.97 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 4.84/4.97 ( ~ class_Lattices_Olattice(T_a)
% 4.84/4.97 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_Int__commute_0,axiom,
% 4.84/4.97 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)) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_inf__commute_0,axiom,
% 4.84/4.97 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.84/4.97 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_inf__sup__aci_I1_J_0,axiom,
% 4.84/4.97 ( ~ class_Lattices_Olattice(T_a)
% 4.84/4.97 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_com_Osimps_I14_J_0,axiom,
% 4.84/4.97 c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_distrib__inf__le_0,axiom,
% 4.84/4.97 ( ~ class_Lattices_Olattice(T_a)
% 4.84/4.97 | 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) ) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_com_Osimps_I32_J_0,axiom,
% 4.84/4.97 c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_Un__Int__crazy_0,axiom,
% 4.84/4.97 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)) ).
% 4.84/4.97
% 4.84/4.97 cnf(cls_map__add__Some__iff_3,axiom,
% 4.84/4.97 ( hAPP(V_m,V_k) != hAPP(c_Option_Ooption_OSome(T_a),V_x)
% 4.84/4.98 | hAPP(V_n,V_k) != c_Option_Ooption_ONone(T_a)
% 4.84/4.98 | hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k) = hAPP(c_Option_Ooption_OSome(T_a),V_x) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_map__add__None_1,axiom,
% 4.84/4.98 ( hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k) != c_Option_Ooption_ONone(T_a)
% 4.84/4.98 | hAPP(V_m,V_k) = c_Option_Ooption_ONone(T_a) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_map__add__None_0,axiom,
% 4.84/4.98 ( hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k) != c_Option_Ooption_ONone(T_a)
% 4.84/4.98 | hAPP(V_n,V_k) = c_Option_Ooption_ONone(T_a) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
% 4.84/4.98 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 4.84/4.98 | hBOOL(c_in(V_x,V_xa,T_a)) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_com_Osimps_I43_J_0,axiom,
% 4.84/4.98 c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_insert__subset_0,axiom,
% 4.84/4.98 ( hBOOL(c_in(V_x,V_B,T_a))
% 4.84/4.98 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_com_Osimps_I61_J_0,axiom,
% 4.84/4.98 c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OWhile(V_fun,V_com) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_insert__code_2,axiom,
% 4.84/4.98 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
% 4.84/4.98 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_insert__image_0,axiom,
% 4.84/4.98 ( 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)
% 4.84/4.98 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_subset__insert__iff_2,axiom,
% 4.84/4.98 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 4.84/4.98 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.84/4.98 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_subset__insert__iff_1,axiom,
% 4.84/4.98 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.84/4.98 | hBOOL(c_in(V_x,V_A,T_a))
% 4.84/4.98 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_subset__insert_1,axiom,
% 4.84/4.98 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 4.84/4.98 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.84/4.98 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_com_Osimps_I35_J_0,axiom,
% 4.84/4.98 c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_insert__inter__insert_0,axiom,
% 4.84/4.98 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) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_map__upd__nonempty_0,axiom,
% 4.84/4.98 c_Fun_Ofun__upd(V_t,V_k,hAPP(c_Option_Ooption_OSome(T_b),V_x),T_a,tc_Option_Ooption(T_b)) != c_COMBK(c_Option_Ooption_ONone(T_b),tc_Option_Ooption(T_b),T_a) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_insert__absorb2_0,axiom,
% 4.84/4.98 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) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_com_Osimps_I23_J_0,axiom,
% 4.84/4.98 c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H) != c_Com_Ocom_OAss(V_vname,V_fun) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_insert__code_0,axiom,
% 4.84/4.98 ( hBOOL(hAPP(V_A,V_x))
% 4.84/4.98 | V_y = V_x
% 4.84/4.98 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_com_Osimps_I52_J_0,axiom,
% 4.84/4.98 c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_dom__map__add_0,axiom,
% 4.84/4.98 c_Map_Odom(c_Map_Omap__add(V_m,V_n,T_a,T_b),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(V_n,T_a,T_b),c_Map_Odom(V_m,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_inj__on__Un__image__eq__iff_0,axiom,
% 4.84/4.98 ( c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b)
% 4.84/4.98 | ~ 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)
% 4.84/4.98 | V_A = V_B ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_com_Osimps_I37_J_0,axiom,
% 4.84/4.98 c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_subset__insertI_0,axiom,
% 4.84/4.98 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_finite__insert_0,axiom,
% 4.84/4.98 ( c_Finite__Set_Ofinite(V_A,T_a)
% 4.84/4.98 | ~ c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_finite__insert_1,axiom,
% 4.84/4.98 ( c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a)
% 4.84/4.98 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_com_Osimps_I45_J_0,axiom,
% 4.84/4.98 c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_image__Int_0,axiom,
% 4.84/4.98 ( 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))
% 4.84/4.98 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_com_Osimps_I4_J_2,axiom,
% 4.84/4.98 ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)
% 4.84/4.98 | V_com2 = V_com2_H ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_com_Osimps_I4_J_1,axiom,
% 4.84/4.98 ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)
% 4.84/4.98 | V_com1 = V_com1_H ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_com_Osimps_I4_J_0,axiom,
% 4.84/4.98 ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)
% 4.84/4.98 | V_fun = V_fun_H ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_image__Int__subset_0,axiom,
% 4.84/4.98 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)) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_finite__Un_2,axiom,
% 4.84/4.98 ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
% 4.84/4.98 | ~ c_Finite__Set_Ofinite(V_G,T_a)
% 4.84/4.98 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_finite__UnI_0,axiom,
% 4.84/4.98 ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
% 4.84/4.98 | ~ c_Finite__Set_Ofinite(V_G,T_a)
% 4.84/4.98 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_Un__Int__assoc__eq_0,axiom,
% 4.84/4.98 ( 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))
% 4.84/4.98 | c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_Un__Int__assoc__eq_1,axiom,
% 4.84/4.98 ( 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))
% 4.84/4.98 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_UNIV__I_0,axiom,
% 4.84/4.98 hBOOL(c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_map__comp__empty_I1_J_0,axiom,
% 4.84/4.98 c_Map_Omap__comp(V_m,c_COMBK(c_Option_Ooption_ONone(T_c),tc_Option_Ooption(T_c),t_a),v_x,T_c,T_b,t_a) = c_Option_Ooption_ONone(T_b) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_map__comp__empty_I2_J_0,axiom,
% 4.84/4.98 c_Map_Omap__comp(c_COMBK(c_Option_Ooption_ONone(T_b),tc_Option_Ooption(T_b),T_c),V_m,v_x,T_c,T_b,t_a) = c_Option_Ooption_ONone(T_b) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_com_Osimps_I57_J_0,axiom,
% 4.84/4.98 c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OCond(V_fun,V_com1,V_com2) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_inj__image__mem__iff_0,axiom,
% 4.84/4.98 ( hBOOL(c_in(V_a,V_A,T_a))
% 4.84/4.98 | ~ hBOOL(c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))
% 4.84/4.98 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_inj__image__mem__iff_1,axiom,
% 4.84/4.98 ( hBOOL(c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))
% 4.84/4.98 | ~ hBOOL(c_in(V_a,V_A,T_a))
% 4.84/4.98 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_com_Osimps_I28_J_0,axiom,
% 4.84/4.98 c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_map__add__assoc_0,axiom,
% 4.84/4.98 c_Map_Omap__add(V_m1,c_Map_Omap__add(V_m2,V_m3,T_a,T_b),T_a,T_b) = c_Map_Omap__add(c_Map_Omap__add(V_m1,V_m2,T_a,T_b),V_m3,T_a,T_b) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_com_Osimps_I22_J_0,axiom,
% 4.84/4.98 c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_fun__upd__twist_0,axiom,
% 4.84/4.98 ( c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_a,V_b,T_a,T_b),V_c,V_d,T_a,T_b) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_c,V_d,T_a,T_b),V_a,V_b,T_a,T_b)
% 4.84/4.98 | V_a = V_c ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_injD_0,axiom,
% 4.84/4.98 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 4.84/4.98 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
% 4.84/4.98 | V_x = V_y ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_sup1E_0,axiom,
% 4.84/4.98 ( hBOOL(hAPP(V_B,V_x))
% 4.84/4.98 | hBOOL(hAPP(V_A,V_x))
% 4.84/4.98 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_sup1CI_0,axiom,
% 4.84/4.98 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 4.84/4.98 | ~ hBOOL(hAPP(V_B,V_x)) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_sup1CI_1,axiom,
% 4.84/4.98 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 4.84/4.98 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_com_Osimps_I64_J_0,axiom,
% 4.84/4.98 c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSKIP,T_a) = V_f1 ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_endo__inj__surj_0,axiom,
% 4.84/4.98 ( c_Set_Oimage(V_f,V_A,T_a,T_a) = V_A
% 4.84/4.98 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_a)
% 4.84/4.98 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_a),V_A,tc_fun(T_a,tc_bool))
% 4.84/4.98 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_UnE_0,axiom,
% 4.84/4.98 ( hBOOL(c_in(V_c,V_B,T_a))
% 4.84/4.98 | hBOOL(c_in(V_c,V_A,T_a))
% 4.84/4.98 | ~ hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_inf__sup__aci_I2_J_0,axiom,
% 4.84/4.98 ( ~ class_Lattices_Olattice(T_a)
% 4.84/4.98 | 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) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_inf__sup__aci_I3_J_0,axiom,
% 4.84/4.98 ( ~ class_Lattices_Olattice(T_a)
% 4.84/4.98 | 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) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_inf__left__commute_0,axiom,
% 4.84/4.98 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.84/4.98 | 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) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_inf__assoc_0,axiom,
% 4.84/4.98 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.84/4.98 | 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) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_Int__assoc_0,axiom,
% 4.84/4.98 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)) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_Int__left__commute_0,axiom,
% 4.84/4.98 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)) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_com_Osimps_I38_J_0,axiom,
% 4.84/4.98 c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_domIff_0,axiom,
% 4.84/4.98 ( hAPP(V_m,V_a) != c_Option_Ooption_ONone(T_b)
% 4.84/4.98 | ~ hBOOL(c_in(V_a,c_Map_Odom(V_m,T_a,T_b),T_a)) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_domIff_1,axiom,
% 4.84/4.98 ( hBOOL(c_in(V_a,c_Map_Odom(V_m,T_a,T_b),T_a))
% 4.84/4.98 | hAPP(V_m,V_a) = c_Option_Ooption_ONone(T_b) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_finite__Un_0,axiom,
% 4.84/4.98 ( c_Finite__Set_Ofinite(V_F,T_a)
% 4.84/4.98 | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_finite__Un_1,axiom,
% 4.84/4.98 ( c_Finite__Set_Ofinite(V_G,T_a)
% 4.84/4.98 | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_inj__image__eq__iff_0,axiom,
% 4.84/4.98 ( c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b)
% 4.84/4.98 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
% 4.84/4.98 | V_A = V_B ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_option__map__is__None_0,axiom,
% 4.84/4.98 ( c_Option_Omap(V_f,V_opt,T_b,T_a) != c_Option_Ooption_ONone(T_a)
% 4.84/4.98 | V_opt = c_Option_Ooption_ONone(T_b) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_inf__eq__top__eq2_0,axiom,
% 4.84/4.98 ( ~ class_Lattices_Obounded__lattice(T_a)
% 4.84/4.98 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a) != c_Orderings_Otop__class_Otop(T_a)
% 4.84/4.98 | V_B = c_Orderings_Otop__class_Otop(T_a) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_inf__eq__top__eq1_0,axiom,
% 4.84/4.98 ( ~ class_Lattices_Obounded__lattice(T_a)
% 4.84/4.98 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a) != c_Orderings_Otop__class_Otop(T_a)
% 4.84/4.98 | V_A = c_Orderings_Otop__class_Otop(T_a) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_com_Osimps_I26_J_0,axiom,
% 4.84/4.98 c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_Comp_0,axiom,
% 4.84/4.98 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSemi(V_c,V_d),V_R,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 4.84/4.98 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_Q,V_d,V_R,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 4.84/4.98 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_com_Osimps_I16_J_0,axiom,
% 4.84/4.98 c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_com_Osimps_I10_J_0,axiom,
% 4.84/4.98 c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_fun__upd__upd_0,axiom,
% 4.84/4.98 c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_x,V_z,T_a,T_b) = c_Fun_Ofun__upd(V_f,V_x,V_z,T_a,T_b) ).
% 4.84/4.98
% 4.84/4.98 cnf(cls_disjoint__iff__not__equal_0,axiom,
% 4.84/4.98 ( ~ hBOOL(c_in(V_x,V_B,T_a))
% 4.84/4.98 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 4.84/4.98 | 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)) ) ).
% 4.95/4.98
% 4.95/4.98 cnf(cls_inf__top__right_0,axiom,
% 4.95/4.98 ( ~ class_Lattices_Obounded__lattice(T_a)
% 4.95/4.98 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = V_x ) ).
% 4.95/4.98
% 4.95/4.98 cnf(cls_inf__top__left_0,axiom,
% 4.95/4.98 ( ~ class_Lattices_Obounded__lattice(T_a)
% 4.95/4.98 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = V_x ) ).
% 4.95/4.98
% 4.95/4.98 cnf(cls_Int__UNIV__left_0,axiom,
% 4.95/4.98 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 ).
% 4.95/4.98
% 4.95/4.98 cnf(cls_Int__UNIV__right_0,axiom,
% 4.95/4.98 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 ).
% 4.95/4.98
% 4.95/4.98 cnf(cls_distrib__sup__le_0,axiom,
% 4.95/4.98 ( ~ class_Lattices_Olattice(T_a)
% 4.95/4.98 | 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) ) ).
% 4.95/4.98
% 4.95/4.98 cnf(cls_sup__inf__absorb_0,axiom,
% 4.95/4.98 ( ~ class_Lattices_Olattice(T_a)
% 4.95/4.98 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = V_x ) ).
% 4.95/4.98
% 4.95/4.98 cnf(cls_top1I_0,axiom,
% 4.95/4.98 hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ).
% 4.95/4.98
% 4.95/4.98 cnf(cls_insertE_0,axiom,
% 4.95/4.98 ( hBOOL(c_in(V_a,V_A,T_a))
% 4.95/4.98 | V_a = V_b
% 4.95/4.98 | ~ hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)) ) ).
% 4.95/4.98
% 4.95/4.98 cnf(cls_top__fun__eq_0,axiom,
% 4.95/4.98 ( ~ class_Orderings_Otop(T_b)
% 4.95/4.98 | hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,T_b)),v_x) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 4.95/4.98
% 4.95/4.98 cnf(cls_com_Osimps_I60_J_0,axiom,
% 4.95/4.98 c_Com_Ocom_OWhile(V_fun,V_com) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ).
% 4.95/4.98
% 4.95/4.98 cnf(cls_evalc_OSkip_0,axiom,
% 4.95/4.98 hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_s)) ).
% 4.95/4.98
% 4.95/4.98 cnf(cls_com_Osimps_I25_J_0,axiom,
% 4.95/4.98 c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OAss(V_vname,V_fun) ).
% 4.95/4.98
% 4.95/4.98 cnf(cls_equalityI_0,axiom,
% 4.95/4.98 ( V_A = V_B
% 4.95/4.98 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 4.95/4.98 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.95/4.98
% 4.95/4.98 cnf(cls_com__det_0,axiom,
% 4.95/4.98 ( V_u = V_t
% 4.95/4.98 | ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_u))
% 4.95/4.98 | ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t)) ) ).
% 4.95/4.98
% 4.95/4.98 cnf(cls_set__eq__subset_2,axiom,
% 4.95/4.98 ( V_A = V_B
% 4.95/4.98 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 4.95/4.98 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.95/4.98
% 4.95/4.98 cnf(cls_order__eq__iff_2,axiom,
% 4.95/4.98 ( ~ class_Orderings_Oorder(T_a)
% 4.95/4.98 | V_x = V_y
% 4.95/4.98 | ~ c_lessequals(V_y,V_x,T_a)
% 4.95/4.98 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 4.95/4.98
% 4.95/4.98 cnf(cls_order__antisym_0,axiom,
% 4.95/4.98 ( ~ class_Orderings_Oorder(T_a)
% 4.95/4.98 | V_x = V_y
% 4.95/4.98 | ~ c_lessequals(V_y,V_x,T_a)
% 4.95/4.98 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 4.95/4.98
% 4.95/4.98 cnf(cls_order__antisym__conv_0,axiom,
% 4.95/4.98 ( ~ class_Orderings_Oorder(T_a)
% 4.95/4.98 | V_x = V_y
% 4.95/4.98 | ~ c_lessequals(V_x,V_y,T_a)
% 4.95/4.98 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 4.95/4.98
% 4.95/4.98 cnf(cls_com_Osimps_I11_J_0,axiom,
% 4.95/4.98 c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H) != c_Com_Ocom_OSKIP ).
% 4.95/4.98
% 4.95/4.98 cnf(cls_inf__sup__absorb_0,axiom,
% 4.95/4.98 ( ~ class_Lattices_Olattice(T_a)
% 4.95/4.98 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = V_x ) ).
% 4.95/4.98
% 4.95/4.98 cnf(cls_sup__absorb1_0,axiom,
% 4.95/4.98 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.95/4.98 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x
% 4.95/4.98 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 4.95/4.98
% 4.95/4.98 cnf(cls_le__iff__sup_1,axiom,
% 4.95/4.98 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.95/4.98 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y
% 4.95/4.98 | c_lessequals(V_x,V_y,T_a) ) ).
% 4.95/4.98
% 4.95/4.98 cnf(cls_le__iff__sup_0,axiom,
% 4.95/4.98 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.95/4.98 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y
% 4.95/4.98 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 4.95/4.98
% 4.95/4.98 cnf(cls_Un__absorb1_0,axiom,
% 4.95/4.98 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 4.95/4.98 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.95/4.98
% 4.95/4.98 cnf(cls_Un__absorb2_0,axiom,
% 4.95/4.98 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 4.95/4.98 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 4.95/4.98
% 4.95/4.98 cnf(cls_subset__Un__eq_1,axiom,
% 4.95/4.98 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B
% 4.95/4.98 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.95/4.98
% 4.95/4.98 cnf(cls_is__none__def_1,axiom,
% 4.95/4.98 hBOOL(c_Option_Ois__none(c_Option_Ooption_ONone(T_a),T_a)) ).
% 4.95/4.98
% 4.95/4.98 cnf(cls_option_Osimps_I4_J_0,axiom,
% 4.95/4.98 c_Option_Ooption_Ooption__case(V_f1,V_f2,c_Option_Ooption_ONone(T_b),T_a,T_b) = V_f1 ).
% 4.95/4.98
% 4.95/4.98 cnf(cls_bot__empty__eq_0,axiom,
% 4.95/4.98 hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a) ).
% 4.95/4.98
% 4.95/4.98 cnf(cls_evalc__elim__cases_I5_J_0,axiom,
% 4.95/4.98 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2),V_s),V_t))
% 4.95/4.98 | hBOOL(hAPP(V_b,V_s))
% 4.95/4.98 | ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c1,V_c2)),V_s),V_t)) ) ).
% 4.95/4.98
% 4.95/4.98 cnf(cls_evalc_OIfFalse_0,axiom,
% 4.95/4.98 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c0,V_c1)),V_s),V_s1))
% 4.95/4.98 | ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s),V_s1))
% 4.95/4.98 | hBOOL(hAPP(V_b,V_s)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I8_J_0,axiom,
% 4.95/4.99 c_Com_Ocom_OSKIP != c_Com_Ocom_OAss(V_vname_H,V_fun_H) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_fun__upd__idem_0,axiom,
% 4.95/4.99 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_b,T_a) = V_f ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_fun__upd__same_0,axiom,
% 4.95/4.99 hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_x) = V_y ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_fun__upd__triv_0,axiom,
% 4.95/4.99 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_a,T_b) = V_f ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_fun__upd__apply_0,axiom,
% 4.95/4.99 hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_aa),V_x) = V_y ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_fun__upd__idem__iff_1,axiom,
% 4.95/4.99 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_aa,T_a) = V_f ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_triple_Oinject_0,axiom,
% 4.95/4.99 ( c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a) != c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a)
% 4.95/4.99 | V_fun1 = V_fun1_H ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_triple_Oinject_1,axiom,
% 4.95/4.99 ( c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a) != c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a)
% 4.95/4.99 | V_com = V_com_H ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_subset__insert_0,axiom,
% 4.95/4.99 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.95/4.99 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 4.95/4.99 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_insert__ident_0,axiom,
% 4.95/4.99 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a)
% 4.95/4.99 | hBOOL(c_in(V_x,V_B,T_a))
% 4.95/4.99 | hBOOL(c_in(V_x,V_A,T_a))
% 4.95/4.99 | V_A = V_B ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_Int__insert__right_1,axiom,
% 4.95/4.99 ( 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))
% 4.95/4.99 | hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_Int__insert__left_1,axiom,
% 4.95/4.99 ( 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))
% 4.95/4.99 | hBOOL(c_in(V_a,V_C,T_a)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_Int__subset__iff_1,axiom,
% 4.95/4.99 ( c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 4.95/4.99 | ~ 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)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_Int__subset__iff_0,axiom,
% 4.95/4.99 ( c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool))
% 4.95/4.99 | ~ 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)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_le__infE_0,axiom,
% 4.95/4.99 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.95/4.99 | c_lessequals(V_x,V_a,T_a)
% 4.95/4.99 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_le__infE_1,axiom,
% 4.95/4.99 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.95/4.99 | c_lessequals(V_x,V_b,T_a)
% 4.95/4.99 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_le__infI1_0,axiom,
% 4.95/4.99 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.95/4.99 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 4.95/4.99 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_le__infI2_0,axiom,
% 4.95/4.99 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.95/4.99 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 4.95/4.99 | ~ c_lessequals(V_b,V_x,T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_le__inf__iff_0,axiom,
% 4.95/4.99 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.95/4.99 | c_lessequals(V_x,V_y,T_a)
% 4.95/4.99 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_le__inf__iff_1,axiom,
% 4.95/4.99 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.95/4.99 | c_lessequals(V_x,V_z,T_a)
% 4.95/4.99 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I67_J_0,axiom,
% 4.95/4.99 c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OSemi(V_com1,V_com2),T_a) = hAPP(hAPP(V_f4,V_com1),V_com2) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I34_J_0,axiom,
% 4.95/4.99 c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_Un__commute_0,axiom,
% 4.95/4.99 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)) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_sup__commute_0,axiom,
% 4.95/4.99 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.95/4.99 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 4.95/4.99 ( ~ class_Lattices_Olattice(T_a)
% 4.95/4.99 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I5_J_0,axiom,
% 4.95/4.99 ( c_Com_Ocom_OWhile(V_fun,V_com) != c_Com_Ocom_OWhile(V_fun_H,V_com_H)
% 4.95/4.99 | V_fun = V_fun_H ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I5_J_1,axiom,
% 4.95/4.99 ( c_Com_Ocom_OWhile(V_fun,V_com) != c_Com_Ocom_OWhile(V_fun_H,V_com_H)
% 4.95/4.99 | V_com = V_com_H ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_is__none__def_0,axiom,
% 4.95/4.99 ( V_x = c_Option_Ooption_ONone(T_a)
% 4.95/4.99 | ~ hBOOL(c_Option_Ois__none(V_x,T_a)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Orecs_I8_J_0,axiom,
% 4.95/4.99 c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCall(V_vname,V_pname,V_fun),T_a) = hAPP(hAPP(hAPP(V_f8,V_vname),V_pname),V_fun) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_insert__absorb_0,axiom,
% 4.95/4.99 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A
% 4.95/4.99 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_insert__is__Un_0,axiom,
% 4.95/4.99 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)) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_option__map__None_0,axiom,
% 4.95/4.99 c_Option_Omap(V_f,c_Option_Ooption_ONone(T_b),T_b,T_a) = c_Option_Ooption_ONone(T_a) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_Un__left__absorb_0,axiom,
% 4.95/4.99 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)) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_sup__left__idem_0,axiom,
% 4.95/4.99 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.95/4.99 | 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) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 4.95/4.99 ( ~ class_Lattices_Olattice(T_a)
% 4.95/4.99 | 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) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I15_J_0,axiom,
% 4.95/4.99 c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I53_J_0,axiom,
% 4.95/4.99 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OCond(V_fun,V_com1,V_com2) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_finite_0,axiom,
% 4.95/4.99 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a)
% 4.95/4.99 | c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_Sup__binary_0,axiom,
% 4.95/4.99 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 4.95/4.99 | c_Complete__Lattice_OSup__class_OSup(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),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_map__add__None_2,axiom,
% 4.95/4.99 ( hAPP(V_m,V_k) != c_Option_Ooption_ONone(T_a)
% 4.95/4.99 | hAPP(V_n,V_k) != c_Option_Ooption_ONone(T_a)
% 4.95/4.99 | hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k) = c_Option_Ooption_ONone(T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_MGT__def_0,axiom,
% 4.95/4.99 hAPP(c_Hoare__Mirabelle_OMGT,V_c) = c_Hoare__Mirabelle_Otriple_Otriple(c_fequal(tc_Com_Ostate),V_c,c_Natural_Oevalc(V_c),tc_Com_Ostate) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I50_J_0,axiom,
% 4.95/4.99 c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_is__none__def__raw_0,axiom,
% 4.95/4.99 c_Option_Ois__none(v_x,t_a) = hAPP(hAPP(c_fequal(tc_Option_Ooption(t_a)),v_x),c_Option_Ooption_ONone(t_a)) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Orecs_I2_J_0,axiom,
% 4.95/4.99 c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OAss(V_vname,V_fun),T_a) = hAPP(hAPP(V_f2,V_vname),V_fun) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I27_J_0,axiom,
% 4.95/4.99 c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OAss(V_vname,V_fun) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_inf1E_1,axiom,
% 4.95/4.99 ( hBOOL(hAPP(V_B,V_x))
% 4.95/4.99 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_inf1E_0,axiom,
% 4.95/4.99 ( hBOOL(hAPP(V_A,V_x))
% 4.95/4.99 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_fun__upd__idem__iff_0,axiom,
% 4.95/4.99 ( c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b) != V_f
% 4.95/4.99 | hAPP(V_f,V_x) = V_y ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_map__comp__None__iff_2,axiom,
% 4.95/4.99 ( hAPP(V_m2,V_k) != c_Option_Ooption_ONone(T_b)
% 4.95/4.99 | c_Map_Omap__comp(V_m1,V_m2,V_k,T_b,T_a,T_c) = c_Option_Ooption_ONone(T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_map__comp__simps_I1_J_0,axiom,
% 4.95/4.99 ( hAPP(V_m2,V_k) != c_Option_Ooption_ONone(T_a)
% 4.95/4.99 | c_Map_Omap__comp(V_m1,V_m2,V_k,T_a,T_c,T_b) = c_Option_Ooption_ONone(T_c) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_finite__surj__inj_0,axiom,
% 4.95/4.99 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_a)
% 4.95/4.99 | ~ c_lessequals(V_A,c_Set_Oimage(V_f,V_A,T_a,T_a),tc_fun(T_a,tc_bool))
% 4.95/4.99 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_inj__on__Un_1,axiom,
% 4.95/4.99 ( c_Fun_Oinj__on(V_f,V_B,T_a,T_b)
% 4.95/4.99 | ~ 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) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_inj__on__Un_0,axiom,
% 4.95/4.99 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 4.95/4.99 | ~ 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) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Orecs_I6_J_0,axiom,
% 4.95/4.99 c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OWhile(V_fun,V_com),T_a) = hAPP(hAPP(hAPP(V_f6,V_fun),V_com),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com,T_a)) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_map__add__dom__app__simps_I1_J_0,axiom,
% 4.95/4.99 ( hAPP(c_Map_Omap__add(V_l1,V_l2,T_a,T_b),V_m) = hAPP(V_l2,V_m)
% 4.95/4.99 | ~ hBOOL(c_in(V_m,c_Map_Odom(V_l2,T_a,T_b),T_a)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_Sup__UNIV_0,axiom,
% 4.95/4.99 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 4.95/4.99 | c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Orecs_I5_J_0,axiom,
% 4.95/4.99 c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCond(V_fun,V_com1,V_com2),T_a) = hAPP(hAPP(hAPP(hAPP(hAPP(V_f5,V_fun),V_com1),V_com2),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com1,T_a)),c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,V_com2,T_a)) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_evalc__elim__cases_I1_J_0,axiom,
% 4.95/4.99 ( V_t = V_s
% 4.95/4.99 | ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_t)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_finite__Int_1,axiom,
% 4.95/4.99 ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
% 4.95/4.99 | ~ c_Finite__Set_Ofinite(V_G,T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_finite__Int_0,axiom,
% 4.95/4.99 ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
% 4.95/4.99 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_le__funD_0,axiom,
% 4.95/4.99 ( ~ class_HOL_Oord(T_b)
% 4.95/4.99 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)
% 4.95/4.99 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_dom__eq__singleton__conv_1,axiom,
% 4.95/4.99 c_Map_Odom(c_Fun_Ofun__upd(c_COMBK(c_Option_Ooption_ONone(T_b),tc_Option_Ooption(T_b),T_a),V_x,hAPP(c_Option_Ooption_OSome(T_b),V_xa),T_a,tc_Option_Ooption(T_b)),T_a,T_b) = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_sup__bot__left_0,axiom,
% 4.95/4.99 ( ~ class_Lattices_Obounded__lattice(T_a)
% 4.95/4.99 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_sup__bot__right_0,axiom,
% 4.95/4.99 ( ~ class_Lattices_Obounded__lattice(T_a)
% 4.95/4.99 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_inf__bot__left_0,axiom,
% 4.95/4.99 ( ~ class_Lattices_Obounded__lattice(T_a)
% 4.95/4.99 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_inf__bot__right_0,axiom,
% 4.95/4.99 ( ~ class_Lattices_Obounded__lattice(T_a)
% 4.95/4.99 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_bot__least_0,axiom,
% 4.95/4.99 ( ~ class_Orderings_Obot(T_a)
% 4.95/4.99 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_sup__eq__bot__eq1_0,axiom,
% 4.95/4.99 ( ~ class_Lattices_Obounded__lattice(T_a)
% 4.95/4.99 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 4.95/4.99 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_sup__eq__bot__eq2_0,axiom,
% 4.95/4.99 ( ~ class_Lattices_Obounded__lattice(T_a)
% 4.95/4.99 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 4.95/4.99 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_Un__empty_2,axiom,
% 4.95/4.99 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)) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_ex__in__conv_0,axiom,
% 4.95/4.99 ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_ball__empty_0,axiom,
% 4.95/4.99 ( hBOOL(hAPP(V_P,V_x))
% 4.95/4.99 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_empty__iff_0,axiom,
% 4.95/4.99 ~ hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_emptyE_0,axiom,
% 4.95/4.99 ~ hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_empty__not__insert_0,axiom,
% 4.95/4.99 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_subset__empty_1,axiom,
% 4.95/4.99 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)) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_subset__empty_0,axiom,
% 4.95/4.99 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 4.95/4.99 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_doubleton__eq__iff_3,axiom,
% 4.95/4.99 ( 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)
% 4.95/4.99 | V_b = V_c
% 4.95/4.99 | V_b = V_d ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_doubleton__eq__iff_2,axiom,
% 4.95/4.99 ( 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)
% 4.95/4.99 | V_a = V_d
% 4.95/4.99 | V_b = V_d ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_doubleton__eq__iff_1,axiom,
% 4.95/4.99 ( 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)
% 4.95/4.99 | V_b = V_c
% 4.95/4.99 | V_a = V_c ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_doubleton__eq__iff_0,axiom,
% 4.95/4.99 ( 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)
% 4.95/4.99 | V_a = V_d
% 4.95/4.99 | V_a = V_c ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_UNIV__not__empty_0,axiom,
% 4.95/4.99 c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_Un__empty__right_0,axiom,
% 4.95/4.99 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 ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_Un__empty__left_0,axiom,
% 4.95/4.99 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 ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_finite_OemptyI_0,axiom,
% 4.95/4.99 c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_Int__empty__right_0,axiom,
% 4.95/4.99 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)) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_Int__empty__left_0,axiom,
% 4.95/4.99 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)) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_insert__not__empty_0,axiom,
% 4.95/4.99 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_empty__subsetI_0,axiom,
% 4.95/4.99 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_doubleton__eq__iff_4,axiom,
% 4.95/4.99 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) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_inj__on__empty_0,axiom,
% 4.95/4.99 c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_singleton__inject_0,axiom,
% 4.95/4.99 ( 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)
% 4.95/4.99 | V_a = V_b ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_bex__empty_0,axiom,
% 4.95/4.99 ( ~ hBOOL(hAPP(V_P,V_x))
% 4.95/4.99 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_Un__empty_1,axiom,
% 4.95/4.99 ( 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))
% 4.95/4.99 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_Un__empty_0,axiom,
% 4.95/4.99 ( 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))
% 4.95/4.99 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_finite__range__imageI_0,axiom,
% 4.95/4.99 ( 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)
% 4.95/4.99 | ~ 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) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_image__constant__conv_1,axiom,
% 4.95/4.99 ( c_Set_Oimage(c_COMBK(V_c,T_a,T_b),V_A,T_b,T_a) = c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 4.95/4.99 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_image__Un_0,axiom,
% 4.95/4.99 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)) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_subset__image__iff_2,axiom,
% 4.95/4.99 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool))
% 4.95/4.99 | 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)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_image__mono_0,axiom,
% 4.95/4.99 ( 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))
% 4.95/4.99 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_image__insert_0,axiom,
% 4.95/4.99 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) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_finite__imageI_0,axiom,
% 4.95/4.99 ( c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b)
% 4.95/4.99 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_rev__image__eqI_0,axiom,
% 4.95/4.99 ( ~ hBOOL(c_in(V_x,V_A,T_aa))
% 4.95/4.99 | hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_image__iff_2,axiom,
% 4.95/4.99 ( ~ hBOOL(c_in(V_x,V_A,T_b))
% 4.95/4.99 | hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_image__eqI_0,axiom,
% 4.95/4.99 ( hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a))
% 4.95/4.99 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_imageI_0,axiom,
% 4.95/4.99 ( hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))
% 4.95/4.99 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_dom__eq__empty__conv_0,axiom,
% 4.95/4.99 ( c_Map_Odom(V_f,T_a,T_b) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 4.95/4.99 | V_f = c_COMBK(c_Option_Ooption_ONone(T_b),tc_Option_Ooption(T_b),T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_dom__empty_0,axiom,
% 4.95/4.99 c_Map_Odom(c_COMBK(c_Option_Ooption_ONone(T_b),tc_Option_Ooption(T_b),T_a),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_triple_Oinject_2,axiom,
% 4.95/4.99 ( c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a) != c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a)
% 4.95/4.99 | V_fun2 = V_fun2_H ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I29_J_0,axiom,
% 4.95/4.99 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OAss(V_vname,V_fun) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I66_J_0,axiom,
% 4.95/4.99 c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OLocal(V_loc,V_fun,V_com),T_a) = hAPP(hAPP(hAPP(V_f3,V_loc),V_fun),V_com) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I69_J_0,axiom,
% 4.95/4.99 c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OWhile(V_fun,V_com),T_a) = hAPP(hAPP(V_f6,V_fun),V_com) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_Int__insert__left_0,axiom,
% 4.95/4.99 ( 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)
% 4.95/4.99 | ~ hBOOL(c_in(V_a,V_C,T_a)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_Int__insert__right_0,axiom,
% 4.95/4.99 ( 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)
% 4.95/4.99 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_map__add__SomeD_0,axiom,
% 4.95/4.99 ( hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k) != hAPP(c_Option_Ooption_OSome(T_a),V_x)
% 4.95/4.99 | hAPP(V_n,V_k) = c_Option_Ooption_ONone(T_a)
% 4.95/4.99 | hAPP(V_n,V_k) = hAPP(c_Option_Ooption_OSome(T_a),V_x) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_Un__mono_0,axiom,
% 4.95/4.99 ( 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))
% 4.95/4.99 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 4.95/4.99 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_inf__sup__ord_I1_J_0,axiom,
% 4.95/4.99 ( ~ class_Lattices_Olattice(T_a)
% 4.95/4.99 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_inf__sup__ord_I2_J_0,axiom,
% 4.95/4.99 ( ~ class_Lattices_Olattice(T_a)
% 4.95/4.99 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_inf__greatest_0,axiom,
% 4.95/4.99 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.95/4.99 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)
% 4.95/4.99 | ~ c_lessequals(V_x,V_z,T_a)
% 4.95/4.99 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_le__inf__iff_2,axiom,
% 4.95/4.99 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.95/4.99 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)
% 4.95/4.99 | ~ c_lessequals(V_x,V_z,T_a)
% 4.95/4.99 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_le__infI_0,axiom,
% 4.95/4.99 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.95/4.99 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a)
% 4.95/4.99 | ~ c_lessequals(V_x,V_b,T_a)
% 4.95/4.99 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_inf__le2_0,axiom,
% 4.95/4.99 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.95/4.99 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_inf__le1_0,axiom,
% 4.95/4.99 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.95/4.99 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_Int__lower1_0,axiom,
% 4.95/4.99 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)) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_Int__lower2_0,axiom,
% 4.95/4.99 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)) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_Int__greatest_0,axiom,
% 4.95/4.99 ( 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))
% 4.95/4.99 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 4.95/4.99 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_Int__subset__iff_2,axiom,
% 4.95/4.99 ( 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))
% 4.95/4.99 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 4.95/4.99 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_subset__UNIV_0,axiom,
% 4.95/4.99 c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_top__greatest_0,axiom,
% 4.95/4.99 ( ~ class_Orderings_Otop(T_a)
% 4.95/4.99 | c_lessequals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_inj__on__fun__updI_0,axiom,
% 4.95/4.99 ( c_Fun_Oinj__on(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_A,T_a,T_b)
% 4.95/4.99 | hBOOL(c_in(V_y,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))
% 4.95/4.99 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_fun__upd__image_1,axiom,
% 4.95/4.99 ( c_Set_Oimage(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_A,T_b,T_a) = c_Set_Oimage(V_f,V_A,T_b,T_a)
% 4.95/4.99 | hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I1_J_1,axiom,
% 4.95/4.99 ( c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OAss(V_vname_H,V_fun_H)
% 4.95/4.99 | V_fun = V_fun_H ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I1_J_0,axiom,
% 4.95/4.99 ( c_Com_Ocom_OAss(V_vname,V_fun) != c_Com_Ocom_OAss(V_vname_H,V_fun_H)
% 4.95/4.99 | V_vname = V_vname_H ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I33_J_0,axiom,
% 4.95/4.99 c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OAss(V_vname,V_fun) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I13_J_0,axiom,
% 4.95/4.99 c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_hoare__derivs_OSkip_0,axiom,
% 4.95/4.99 c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSKIP,V_P,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_inj__on__map__add__dom_0,axiom,
% 4.95/4.99 ( c_Fun_Oinj__on(V_m_H,c_Map_Odom(V_m_H,T_a,T_b),T_a,tc_Option_Ooption(T_b))
% 4.95/4.99 | ~ c_Fun_Oinj__on(c_Map_Omap__add(V_m,V_m_H,T_a,T_b),c_Map_Odom(V_m_H,T_a,T_b),T_a,tc_Option_Ooption(T_b)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_inj__on__map__add__dom_1,axiom,
% 4.95/4.99 ( c_Fun_Oinj__on(c_Map_Omap__add(V_m,V_m_H,T_a,T_b),c_Map_Odom(V_m_H,T_a,T_b),T_a,tc_Option_Ooption(T_b))
% 4.95/4.99 | ~ c_Fun_Oinj__on(V_m_H,c_Map_Odom(V_m_H,T_a,T_b),T_a,tc_Option_Ooption(T_b)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_sup__inf__distrib2_0,axiom,
% 4.95/4.99 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 4.95/4.99 | 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) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_sup__inf__distrib1_0,axiom,
% 4.95/4.99 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 4.95/4.99 | 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) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_Un__Int__distrib_0,axiom,
% 4.95/4.99 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)) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_Un__Int__distrib2_0,axiom,
% 4.95/4.99 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)) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_insert__code_1,axiom,
% 4.95/4.99 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_insert__subset_2,axiom,
% 4.95/4.99 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
% 4.95/4.99 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.95/4.99 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_map__add__upd_0,axiom,
% 4.95/4.99 c_Map_Omap__add(V_f,c_Fun_Ofun__upd(V_g,V_x,hAPP(c_Option_Ooption_OSome(T_b),V_y),T_a,tc_Option_Ooption(T_b)),T_a,T_b) = c_Fun_Ofun__upd(c_Map_Omap__add(V_f,V_g,T_a,T_b),V_x,hAPP(c_Option_Ooption_OSome(T_b),V_y),T_a,tc_Option_Ooption(T_b)) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_inf__sup__aci_I4_J_0,axiom,
% 4.95/4.99 ( ~ class_Lattices_Olattice(T_a)
% 4.95/4.99 | 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) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_inf__left__idem_0,axiom,
% 4.95/4.99 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.95/4.99 | 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) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_Int__left__absorb_0,axiom,
% 4.95/4.99 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)) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I2_J_2,axiom,
% 4.95/4.99 ( c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)
% 4.95/4.99 | V_com = V_com_H ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I2_J_1,axiom,
% 4.95/4.99 ( c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)
% 4.95/4.99 | V_fun = V_fun_H ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I2_J_0,axiom,
% 4.95/4.99 ( c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OLocal(V_loc_H,V_fun_H,V_com_H)
% 4.95/4.99 | V_loc = V_loc_H ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I20_J_0,axiom,
% 4.95/4.99 c_Com_Ocom_OSKIP != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I47_J_0,axiom,
% 4.95/4.99 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_finite__UNIV_0,axiom,
% 4.95/4.99 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a)
% 4.95/4.99 | c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_UnCI_0,axiom,
% 4.95/4.99 ( hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 4.95/4.99 | ~ hBOOL(c_in(V_c,V_B,T_a)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_UnCI_1,axiom,
% 4.95/4.99 ( hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 4.95/4.99 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_evalc__WHILE__case_0,axiom,
% 4.95/4.99 ( hBOOL(hAPP(V_b,V_s))
% 4.95/4.99 | V_t = V_s
% 4.95/4.99 | ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b,V_c)),V_s),V_t)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_map__comp__None__iff_3,axiom,
% 4.95/4.99 ( hAPP(V_m1,V_x) != c_Option_Ooption_ONone(T_a)
% 4.95/4.99 | hAPP(V_m2,V_k) != hAPP(c_Option_Ooption_OSome(T_b),V_x)
% 4.95/4.99 | c_Map_Omap__comp(V_m1,V_m2,V_k,T_b,T_a,T_c) = c_Option_Ooption_ONone(T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_inf__idem_0,axiom,
% 4.95/4.99 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.95/4.99 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_Int__absorb_0,axiom,
% 4.95/4.99 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_le__sup__iff_1,axiom,
% 4.95/4.99 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.95/4.99 | c_lessequals(V_y,V_z,T_a)
% 4.95/4.99 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_le__sup__iff_0,axiom,
% 4.95/4.99 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.95/4.99 | c_lessequals(V_x,V_z,T_a)
% 4.95/4.99 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_le__supI2_0,axiom,
% 4.95/4.99 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.95/4.99 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 4.95/4.99 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_le__supI1_0,axiom,
% 4.95/4.99 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.95/4.99 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 4.95/4.99 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_le__supE_1,axiom,
% 4.95/4.99 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.95/4.99 | c_lessequals(V_b,V_x,T_a)
% 4.95/4.99 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_le__supE_0,axiom,
% 4.95/4.99 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.95/4.99 | c_lessequals(V_a,V_x,T_a)
% 4.95/4.99 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_Un__subset__iff_0,axiom,
% 4.95/4.99 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 4.95/4.99 | ~ 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)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_Un__subset__iff_1,axiom,
% 4.95/4.99 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 4.95/4.99 | ~ 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)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_inf__fun__eq_0,axiom,
% 4.95/4.99 ( ~ class_Lattices_Olattice(T_b)
% 4.95/4.99 | hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_f,V_g,tc_fun(t_a,T_b)),v_x) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_xt1_I6_J_0,axiom,
% 4.95/4.99 ( ~ class_Orderings_Oorder(T_a)
% 4.95/4.99 | c_lessequals(V_z,V_x,T_a)
% 4.95/4.99 | ~ c_lessequals(V_z,V_y,T_a)
% 4.95/4.99 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_order__trans_0,axiom,
% 4.95/4.99 ( ~ class_Orderings_Opreorder(T_a)
% 4.95/4.99 | c_lessequals(V_x,V_z,T_a)
% 4.95/4.99 | ~ c_lessequals(V_y,V_z,T_a)
% 4.95/4.99 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_set__mp_0,axiom,
% 4.95/4.99 ( hBOOL(c_in(V_x,V_B,T_a))
% 4.95/4.99 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 4.95/4.99 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_subsetD_0,axiom,
% 4.95/4.99 ( hBOOL(c_in(V_c,V_B,T_a))
% 4.95/4.99 | ~ hBOOL(c_in(V_c,V_A,T_a))
% 4.95/4.99 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_equalityE_0,axiom,
% 4.95/4.99 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_set__rev__mp_0,axiom,
% 4.95/4.99 ( hBOOL(c_in(V_x,V_B,T_a))
% 4.95/4.99 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.95/4.99 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_subset__iff_0,axiom,
% 4.95/4.99 ( hBOOL(c_in(V_t,V_B,T_a))
% 4.95/4.99 | ~ hBOOL(c_in(V_t,V_A,T_a))
% 4.95/4.99 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_subset__refl_0,axiom,
% 4.95/4.99 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_subset__trans_0,axiom,
% 4.95/4.99 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 4.95/4.99 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 4.95/4.99 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_subset__inj__on_0,axiom,
% 4.95/4.99 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 4.95/4.99 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.95/4.99 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_predicate1D_0,axiom,
% 4.95/4.99 ( hBOOL(hAPP(V_Q,V_x))
% 4.95/4.99 | ~ hBOOL(hAPP(V_P,V_x))
% 4.95/4.99 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_order__eq__iff_0,axiom,
% 4.95/4.99 ( ~ class_Orderings_Oorder(T_a)
% 4.95/4.99 | c_lessequals(V_x,V_x,T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_order__eq__refl_0,axiom,
% 4.95/4.99 ( ~ class_Orderings_Opreorder(T_a)
% 4.95/4.99 | c_lessequals(V_x,V_x,T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_finite__subset_0,axiom,
% 4.95/4.99 ( c_Finite__Set_Ofinite(V_A,T_a)
% 4.95/4.99 | ~ c_Finite__Set_Ofinite(V_B,T_a)
% 4.95/4.99 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_rev__predicate1D_0,axiom,
% 4.95/4.99 ( hBOOL(hAPP(V_Q,V_x))
% 4.95/4.99 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
% 4.95/4.99 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_rev__finite__subset_0,axiom,
% 4.95/4.99 ( c_Finite__Set_Ofinite(V_A,T_a)
% 4.95/4.99 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.95/4.99 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_Sup__singleton_0,axiom,
% 4.95/4.99 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 4.95/4.99 | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I21_J_0,axiom,
% 4.95/4.99 c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != c_Com_Ocom_OSKIP ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_insertCI_0,axiom,
% 4.95/4.99 ( hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a))
% 4.95/4.99 | ~ hBOOL(c_in(V_a,V_B,T_a)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_insert__iff_2,axiom,
% 4.95/4.99 ( hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a))
% 4.95/4.99 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_Int__mono_0,axiom,
% 4.95/4.99 ( 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))
% 4.95/4.99 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 4.95/4.99 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_singleton__iff_1,axiom,
% 4.95/4.99 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I68_J_0,axiom,
% 4.95/4.99 c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,c_Com_Ocom_OCond(V_fun,V_com1,V_com2),T_a) = hAPP(hAPP(hAPP(V_f5,V_fun),V_com1),V_com2) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_subset__singletonD_0,axiom,
% 4.95/4.99 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 4.95/4.99 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 4.95/4.99 | ~ 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)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_IntI_0,axiom,
% 4.95/4.99 ( hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 4.95/4.99 | ~ hBOOL(c_in(V_c,V_B,T_a))
% 4.95/4.99 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_Int__iff_2,axiom,
% 4.95/4.99 ( hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 4.95/4.99 | ~ hBOOL(c_in(V_c,V_B,T_a))
% 4.95/4.99 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_inf1I_0,axiom,
% 4.95/4.99 ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 4.95/4.99 | ~ hBOOL(hAPP(V_B,V_x))
% 4.95/4.99 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_fun__upd__apply_1,axiom,
% 4.95/4.99 ( hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_z) = hAPP(V_f,V_z)
% 4.95/4.99 | V_z = V_x ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_fun__upd__other_0,axiom,
% 4.95/4.99 ( hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_z) = hAPP(V_f,V_z)
% 4.95/4.99 | V_z = V_x ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I9_J_0,axiom,
% 4.95/4.99 c_Com_Ocom_OAss(V_vname_H,V_fun_H) != c_Com_Ocom_OSKIP ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_insert__mono_0,axiom,
% 4.95/4.99 ( 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))
% 4.95/4.99 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_finite__imageD_0,axiom,
% 4.95/4.99 ( c_Finite__Set_Ofinite(V_A,T_b)
% 4.95/4.99 | ~ c_Fun_Oinj__on(V_f,V_A,T_b,T_a)
% 4.95/4.99 | ~ c_Finite__Set_Ofinite(c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_map__add__dom__app__simps_I2_J_0,axiom,
% 4.95/4.99 ( hAPP(c_Map_Omap__add(V_l1,V_l2,T_a,T_b),V_m) = hAPP(V_l2,V_m)
% 4.95/4.99 | hBOOL(c_in(V_m,c_Map_Odom(V_l1,T_a,T_b),T_a)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_map__add__dom__app__simps_I3_J_0,axiom,
% 4.95/4.99 ( hAPP(c_Map_Omap__add(V_l1,V_l2,T_a,T_b),V_m) = hAPP(V_l1,V_m)
% 4.95/4.99 | hBOOL(c_in(V_m,c_Map_Odom(V_l2,T_a,T_b),T_a)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I42_J_0,axiom,
% 4.95/4.99 c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_evalc__elim__cases_I5_J_2,axiom,
% 4.95/4.99 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2),V_s),V_t))
% 4.95/4.99 | hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s),V_t))
% 4.95/4.99 | ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b,V_c1,V_c2)),V_s),V_t)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_Sup__upper_0,axiom,
% 4.95/4.99 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 4.95/4.99 | c_lessequals(V_x,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a)
% 4.95/4.99 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I12_J_0,axiom,
% 4.95/4.99 c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_linorder__linear_0,axiom,
% 4.95/4.99 ( ~ class_Orderings_Olinorder(T_a)
% 4.95/4.99 | c_lessequals(V_y,V_x,T_a)
% 4.95/4.99 | c_lessequals(V_x,V_y,T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_map__add__comm_0,axiom,
% 4.95/4.99 ( c_Lattices_Olower__semilattice__class_Oinf(c_Map_Odom(V_m1,T_a,T_b),c_Map_Odom(V_m2,T_a,T_b),tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 4.95/4.99 | c_Map_Omap__add(V_m1,V_m2,T_a,T_b) = c_Map_Omap__add(V_m2,V_m1,T_a,T_b) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_map__upd__eqD1_0,axiom,
% 4.95/4.99 ( c_Fun_Ofun__upd(V_m,V_a,hAPP(c_Option_Ooption_OSome(T_b),V_x),T_a,tc_Option_Ooption(T_b)) != c_Fun_Ofun__upd(V_n,V_a,hAPP(c_Option_Ooption_OSome(T_b),V_y),T_a,tc_Option_Ooption(T_b))
% 4.95/4.99 | V_x = V_y ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_the_Osimps_0,axiom,
% 4.95/4.99 hAPP(c_Option_Othe(T_a),hAPP(c_Option_Ooption_OSome(T_a),V_x)) = V_x ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_option_Orecs_I2_J_0,axiom,
% 4.95/4.99 c_Option_Ooption_Ooption__rec(V_f1,V_f2,hAPP(c_Option_Ooption_OSome(T_b),V_a),T_a,T_b) = hAPP(V_f2,V_a) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_map__upd__triv_0,axiom,
% 4.95/4.99 ( hAPP(V_t,V_k) != hAPP(c_Option_Ooption_OSome(T_a),V_x)
% 4.95/4.99 | c_Fun_Ofun__upd(V_t,V_k,hAPP(c_Option_Ooption_OSome(T_a),V_x),T_b,tc_Option_Ooption(T_a)) = V_t ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_map__upd__Some__unfold_3,axiom,
% 4.95/4.99 hAPP(c_Fun_Ofun__upd(V_m,V_xa,hAPP(c_Option_Ooption_OSome(T_a),V_x),T_aa,tc_Option_Ooption(T_a)),V_xa) = hAPP(c_Option_Ooption_OSome(T_a),V_x) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_map__comp__Some__iff_2,axiom,
% 4.95/4.99 ( hAPP(V_m1,V_x) != hAPP(c_Option_Ooption_OSome(T_a),V_v)
% 4.95/4.99 | hAPP(V_m2,V_k) != hAPP(c_Option_Ooption_OSome(T_b),V_x)
% 4.95/4.99 | c_Map_Omap__comp(V_m1,V_m2,V_k,T_b,T_a,T_c) = hAPP(c_Option_Ooption_OSome(T_a),V_v) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_option_Osplit__asm_1,axiom,
% 4.95/4.99 ( ~ hBOOL(hAPP(V_P,c_Option_Ooption_Ooption__case(V_f1,V_f2,hAPP(c_Option_Ooption_OSome(t_b),V_xa),t_a,t_b)))
% 4.95/4.99 | hBOOL(hAPP(V_P,hAPP(V_f2,V_xa))) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_option_Osplit_1,axiom,
% 4.95/4.99 ( ~ hBOOL(hAPP(V_P,c_Option_Ooption_Ooption__case(V_f1,V_f2,hAPP(c_Option_Ooption_OSome(t_b),V_a),t_a,t_b)))
% 4.95/4.99 | hBOOL(hAPP(V_P,hAPP(V_f2,V_a))) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_inj__Some_0,axiom,
% 4.95/4.99 c_Fun_Oinj__on(c_Option_Ooption_OSome(T_a),V_A,T_a,tc_Option_Ooption(T_a)) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_is__none__code_I2_J_0,axiom,
% 4.95/4.99 ~ hBOOL(c_Option_Ois__none(hAPP(c_Option_Ooption_OSome(T_a),V_x),T_a)) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_not__None__eq_1,axiom,
% 4.95/4.99 hAPP(c_Option_Ooption_OSome(T_a),V_xa) != c_Option_Ooption_ONone(T_a) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_option_Osimps_I3_J_0,axiom,
% 4.95/4.99 hAPP(c_Option_Ooption_OSome(T_a),V_a_H) != c_Option_Ooption_ONone(T_a) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_map__upd__Some__unfold_4,axiom,
% 4.95/4.99 ( hAPP(V_m,V_x) != hAPP(c_Option_Ooption_OSome(T_a),V_y)
% 4.95/4.99 | V_x = V_a
% 4.95/4.99 | hAPP(c_Fun_Ofun__upd(V_m,V_a,hAPP(c_Option_Ooption_OSome(T_a),V_b),T_b,tc_Option_Ooption(T_a)),V_x) = hAPP(c_Option_Ooption_OSome(T_a),V_y) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_map__upd__Some__unfold_2,axiom,
% 4.95/4.99 ( hAPP(c_Fun_Ofun__upd(V_m,V_a,hAPP(c_Option_Ooption_OSome(T_a),V_b),T_b,tc_Option_Ooption(T_a)),V_x) != hAPP(c_Option_Ooption_OSome(T_a),V_y)
% 4.95/4.99 | hAPP(V_m,V_x) = hAPP(c_Option_Ooption_OSome(T_a),V_y)
% 4.95/4.99 | V_b = V_y ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_map__upd__Some__unfold_0,axiom,
% 4.95/4.99 ( hAPP(c_Fun_Ofun__upd(V_m,V_a,hAPP(c_Option_Ooption_OSome(T_a),V_b),T_b,tc_Option_Ooption(T_a)),V_x) != hAPP(c_Option_Ooption_OSome(T_a),V_y)
% 4.95/4.99 | hAPP(V_m,V_x) = hAPP(c_Option_Ooption_OSome(T_a),V_y)
% 4.95/4.99 | V_x = V_a ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_option_Osimps_I5_J_0,axiom,
% 4.95/4.99 c_Option_Ooption_Ooption__case(V_f1,V_f2,hAPP(c_Option_Ooption_OSome(T_b),V_a),T_a,T_b) = hAPP(V_f2,V_a) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_map__upd__Some__unfold_1,axiom,
% 4.95/4.99 ( V_b = V_y
% 4.95/4.99 | hAPP(c_Fun_Ofun__upd(V_m,V_x,hAPP(c_Option_Ooption_OSome(T_aa),V_b),T_a,tc_Option_Ooption(T_aa)),V_x) != hAPP(c_Option_Ooption_OSome(T_aa),V_y) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_not__Some__eq_1,axiom,
% 4.95/4.99 c_Option_Ooption_ONone(T_a) != hAPP(c_Option_Ooption_OSome(T_a),V_y) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_option_Osimps_I2_J_0,axiom,
% 4.95/4.99 c_Option_Ooption_ONone(T_a) != hAPP(c_Option_Ooption_OSome(T_a),V_a_H) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_map__add__SomeD_1,axiom,
% 4.95/4.99 ( hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k) != hAPP(c_Option_Ooption_OSome(T_a),V_x)
% 4.95/4.99 | hAPP(V_m,V_k) = hAPP(c_Option_Ooption_OSome(T_a),V_x)
% 4.95/4.99 | hAPP(V_n,V_k) = hAPP(c_Option_Ooption_OSome(T_a),V_x) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_option__map__Some_0,axiom,
% 4.95/4.99 c_Option_Omap(V_f,hAPP(c_Option_Ooption_OSome(T_b),V_x),T_b,T_a) = hAPP(c_Option_Ooption_OSome(T_a),hAPP(V_f,V_x)) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_map__comp__simps_I2_J_0,axiom,
% 4.95/4.99 ( hAPP(V_m2,V_k) != hAPP(c_Option_Ooption_OSome(T_a),V_k_H)
% 4.95/4.99 | c_Map_Omap__comp(V_m1,V_m2,V_k,T_a,T_c,T_b) = hAPP(V_m1,V_k_H) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_ospec_1,axiom,
% 4.95/4.99 ( ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Option__Xospec__1__1(hAPP(c_Option_Ooption_OSome(T_a),V_x),V_P,T_a)))
% 4.95/4.99 | hBOOL(hAPP(V_P,V_x)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_map__add__find__right_0,axiom,
% 4.95/4.99 ( hAPP(V_n,V_k) != hAPP(c_Option_Ooption_OSome(T_a),V_xx)
% 4.95/4.99 | hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k) = hAPP(c_Option_Ooption_OSome(T_a),V_xx) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_map__add__Some__iff_2,axiom,
% 4.95/4.99 ( hAPP(V_n,V_k) != hAPP(c_Option_Ooption_OSome(T_a),V_x)
% 4.95/4.99 | hAPP(c_Map_Omap__add(V_m,V_n,T_b,T_a),V_k) = hAPP(c_Option_Ooption_OSome(T_a),V_x) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I19_J_0,axiom,
% 4.95/4.99 hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSKIP ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I58_J_0,axiom,
% 4.95/4.99 c_Com_Ocom_OWhile(V_fun,V_com) != hAPP(c_Com_Ocom_OBODY,V_pname_H) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Orecs_I7_J_0,axiom,
% 4.95/4.99 c_Com_Ocom_Ocom__rec(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,hAPP(c_Com_Ocom_OBODY,V_pname),T_a) = hAPP(V_f7,V_pname) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I55_J_0,axiom,
% 4.95/4.99 hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OCond(V_fun,V_com1,V_com2) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I54_J_0,axiom,
% 4.95/4.99 c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != hAPP(c_Com_Ocom_OBODY,V_pname_H) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I31_J_0,axiom,
% 4.95/4.99 hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OAss(V_vname,V_fun) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I30_J_0,axiom,
% 4.95/4.99 c_Com_Ocom_OAss(V_vname,V_fun) != hAPP(c_Com_Ocom_OBODY,V_pname_H) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I41_J_0,axiom,
% 4.95/4.99 hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OLocal(V_loc,V_fun,V_com) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I59_J_0,axiom,
% 4.95/4.99 hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OWhile(V_fun,V_com) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I63_J_0,axiom,
% 4.95/4.99 c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) != hAPP(c_Com_Ocom_OBODY,V_pname) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I49_J_0,axiom,
% 4.95/4.99 hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I48_J_0,axiom,
% 4.95/4.99 c_Com_Ocom_OSemi(V_com1,V_com2) != hAPP(c_Com_Ocom_OBODY,V_pname_H) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I40_J_0,axiom,
% 4.95/4.99 c_Com_Ocom_OLocal(V_loc,V_fun,V_com) != hAPP(c_Com_Ocom_OBODY,V_pname_H) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I62_J_0,axiom,
% 4.95/4.99 hAPP(c_Com_Ocom_OBODY,V_pname) != c_Com_Ocom_OCall(V_vname_H,V_pname_H,V_fun_H) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I70_J_0,axiom,
% 4.95/4.99 c_Com_Ocom_Ocom__case(V_f1,V_f2,V_f3,V_f4,V_f5,V_f6,V_f7,V_f8,hAPP(c_Com_Ocom_OBODY,V_pname),T_a) = hAPP(V_f7,V_pname) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_com_Osimps_I18_J_0,axiom,
% 4.95/4.99 c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY,V_pname_H) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_derivs__insertD_1,axiom,
% 4.95/4.99 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 4.95/4.99 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_weaken_0,axiom,
% 4.95/4.99 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 4.95/4.99 | ~ c_lessequals(V_ts,V_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))
% 4.95/4.99 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts_H,T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_thin_0,axiom,
% 4.95/4.99 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 4.95/4.99 | ~ c_lessequals(V_G_H,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))
% 4.95/4.99 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_hoare__sound_0,axiom,
% 4.95/4.99 ( c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,T_a)
% 4.95/4.99 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_asm_0,axiom,
% 4.95/4.99 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 4.95/4.99 | ~ c_lessequals(V_ts,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_dom__const_0,axiom,
% 4.95/4.99 c_Map_Odom(c_COMBK(hAPP(c_Option_Ooption_OSome(T_b),V_y),tc_Option_Ooption(T_b),T_a),T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_domD_0,axiom,
% 4.95/4.99 ( hAPP(V_m,V_a) = hAPP(c_Option_Ooption_OSome(T_b),c_Map_Osko__Map__XdomD__1__1(V_a,V_m,T_a,T_b))
% 4.95/4.99 | ~ hBOOL(c_in(V_a,c_Map_Odom(V_m,T_a,T_b),T_a)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_evalc_OBody_0,axiom,
% 4.95/4.99 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_pn)),V_s0),V_s1))
% 4.95/4.99 | ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_s0),V_s1)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_evalc__elim__cases_I6_J_0,axiom,
% 4.95/4.99 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P))),V_s),V_s1))
% 4.95/4.99 | ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_P)),V_s),V_s1)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_WTs__elim__cases_I5_J_0,axiom,
% 4.95/4.99 ( c_Com_OWT(V_c1)
% 4.95/4.99 | ~ c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c1,V_c2)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_WTs__elim__cases_I5_J_1,axiom,
% 4.95/4.99 ( c_Com_OWT(V_c2)
% 4.95/4.99 | ~ c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c1,V_c2)) ) ).
% 4.95/4.99
% 4.95/4.99 cnf(cls_WT_OSemi_0,axiom,
% 4.95/4.99 ( c_Com_OWT(c_Com_Ocom_OSemi(V_c0,V_c1))
% 4.95/5.00 | ~ c_Com_OWT(V_c1)
% 4.95/5.00 | ~ c_Com_OWT(V_c0) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_WTs__elim__cases_I4_J_0,axiom,
% 4.95/5.00 ( c_Com_OWT(V_c1)
% 4.95/5.00 | ~ c_Com_OWT(c_Com_Ocom_OSemi(V_c1,V_c2)) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_WTs__elim__cases_I4_J_1,axiom,
% 4.95/5.00 ( c_Com_OWT(V_c2)
% 4.95/5.00 | ~ c_Com_OWT(c_Com_Ocom_OSemi(V_c1,V_c2)) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_WT_OIf_0,axiom,
% 4.95/5.00 ( c_Com_OWT(c_Com_Ocom_OCond(V_b,V_c0,V_c1))
% 4.95/5.00 | ~ c_Com_OWT(V_c1)
% 4.95/5.00 | ~ c_Com_OWT(V_c0) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_WT_OSkip_0,axiom,
% 4.95/5.00 c_Com_OWT(c_Com_Ocom_OSKIP) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_WT_OAssign_0,axiom,
% 4.95/5.00 c_Com_OWT(c_Com_Ocom_OAss(V_X,V_a)) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_While_0,axiom,
% 4.95/5.00 ( c_Com_OWT(c_Com_Ocom_OWhile(V_b,V_c))
% 4.95/5.00 | ~ c_Com_OWT(V_c) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_WTs__elim__cases_I6_J_0,axiom,
% 4.95/5.00 ( c_Com_OWT(V_c)
% 4.95/5.00 | ~ c_Com_OWT(c_Com_Ocom_OWhile(V_b,V_c)) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_WT_OLocal_0,axiom,
% 4.95/5.00 ( c_Com_OWT(c_Com_Ocom_OLocal(V_Y,V_a,V_c))
% 4.95/5.00 | ~ c_Com_OWT(V_c) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_WTs__elim__cases_I3_J_0,axiom,
% 4.95/5.00 ( c_Com_OWT(V_c)
% 4.95/5.00 | ~ c_Com_OWT(c_Com_Ocom_OLocal(V_Y,V_a,V_c)) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_MGF__complete_0,axiom,
% 4.95/5.00 ( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,tc_Com_Ostate),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)
% 4.95/5.00 | ~ c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,tc_Com_Ostate),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)
% 4.95/5.00 | ~ 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) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_MGT__def__raw_0,axiom,
% 4.95/5.00 hAPP(c_Hoare__Mirabelle_OMGT,v_c) = c_Hoare__Mirabelle_Otriple_Otriple(c_fequal(tc_Com_Ostate),v_c,c_Natural_Oevalc(v_c),tc_Com_Ostate) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_single__stateE_0,axiom,
% 4.95/5.00 ( v_sko__Hoare__Mirabelle__Xsingle__stateE__1(V_t) != V_t
% 4.95/5.00 | ~ c_Hoare__Mirabelle_Ostate__not__singleton ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_BodyN_0,axiom,
% 4.95/5.00 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,hAPP(c_Com_Ocom_OBODY,V_pn),V_Q,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 4.95/5.00 | ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,hAPP(c_Com_Ocom_OBODY,V_pn),V_Q,T_a),V_G,tc_Hoare__Mirabelle_Otriple(T_a)),c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn)),V_Q,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_weak__Body_0,axiom,
% 4.95/5.00 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,hAPP(c_Com_Ocom_OBODY,V_pn),V_Q,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 4.95/5.00 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn)),V_Q,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_bot__fun__eq_0,axiom,
% 4.95/5.00 ( ~ class_Orderings_Obot(T_b)
% 4.95/5.00 | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_Sup__empty_0,axiom,
% 4.95/5.00 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 4.95/5.00 | c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_range__composition_0,axiom,
% 4.95/5.00 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) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_image__constant__conv_0,axiom,
% 4.95/5.00 c_Set_Oimage(c_COMBK(V_c,T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_MGT__Body_0,axiom,
% 4.95/5.00 ( 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)
% 4.95/5.00 | ~ c_Finite__Set_Ofinite(V_Procs,tc_Com_Opname)
% 4.95/5.00 | ~ 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) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_domI_0,axiom,
% 4.95/5.00 ( hAPP(V_m,V_a) != hAPP(c_Option_Ooption_OSome(T_a),V_b)
% 4.95/5.00 | hBOOL(c_in(V_a,c_Map_Odom(V_m,T_b,T_a),T_b)) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_insert__dom_0,axiom,
% 4.95/5.00 ( hAPP(V_f,V_x) != hAPP(c_Option_Ooption_OSome(T_a),V_y)
% 4.95/5.00 | 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) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_hoare__derivs_Oinsert_0,axiom,
% 4.95/5.00 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 4.95/5.00 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 4.95/5.00 | ~ 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) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_derivs__insertD_0,axiom,
% 4.95/5.00 ( 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)
% 4.95/5.00 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_WT_OCall_0,axiom,
% 4.95/5.00 ( c_Com_OWT(c_Com_Ocom_OCall(V_X,V_pn,V_a))
% 4.95/5.00 | ~ c_Com_OWT(hAPP(c_Com_Ocom_OBODY,V_pn)) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_WTs__elim__cases_I8_J_0,axiom,
% 4.95/5.00 ( c_Com_OWT(hAPP(c_Com_Ocom_OBODY,V_P))
% 4.95/5.00 | ~ c_Com_OWT(c_Com_Ocom_OCall(V_X,V_P,V_a)) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_finite__dom__body_0,axiom,
% 4.95/5.00 c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_MGT__BodyN_0,axiom,
% 4.95/5.00 ( 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)
% 4.95/5.00 | ~ 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) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_MGF__lemma1_0,axiom,
% 4.95/5.00 ( 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)
% 4.95/5.00 | ~ c_Com_OWT(V_c)
% 4.95/5.00 | hBOOL(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))
% 4.95/5.00 | ~ c_Hoare__Mirabelle_Ostate__not__singleton ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_WT_OBody_0,axiom,
% 4.95/5.00 ( c_Com_OWT(hAPP(c_Com_Ocom_OBODY,V_pn))
% 4.95/5.00 | hAPP(c_Com_Obody,V_pn) = c_Option_Ooption_ONone(tc_Com_Ocom) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_MGF__lemma1_1,axiom,
% 4.95/5.00 ( 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)
% 4.95/5.00 | ~ c_Com_OWT(V_c)
% 4.95/5.00 | ~ 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)
% 4.95/5.00 | ~ c_Hoare__Mirabelle_Ostate__not__singleton ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_MGF__lemma2__simult_0,axiom,
% 4.95/5.00 ( c_Hoare__Mirabelle_Ohoare__derivs(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),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),V_F,tc_Com_Ostate)
% 4.95/5.00 | ~ 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))
% 4.95/5.00 | ~ c_Com_OWT__bodies
% 4.95/5.00 | ~ c_Hoare__Mirabelle_Ostate__not__singleton ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_WTs__elim__cases_I7_J_0,axiom,
% 4.95/5.00 ( hAPP(c_Com_Obody,V_P) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),c_Com_Osko__Com__XWTs__elim__cases__7__1(V_P))
% 4.95/5.00 | ~ c_Com_OWT(hAPP(c_Com_Ocom_OBODY,V_P)) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_MGF_0,axiom,
% 4.95/5.00 ( 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)
% 4.95/5.00 | ~ c_Com_OWT(V_c)
% 4.95/5.00 | ~ c_Com_OWT__bodies
% 4.95/5.00 | ~ c_Hoare__Mirabelle_Ostate__not__singleton ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_image__is__empty_0,axiom,
% 4.95/5.00 ( c_Set_Oimage(V_f,V_A,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 4.95/5.00 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_WT__bodiesD_0,axiom,
% 4.95/5.00 ( hAPP(c_Com_Obody,V_pn) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),V_b)
% 4.95/5.00 | ~ c_Com_OWT__bodies
% 4.95/5.00 | c_Com_OWT(V_b) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_image__image_0,axiom,
% 4.95/5.00 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) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_cut_0,axiom,
% 4.95/5.00 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 4.95/5.00 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_G_H,T_a)
% 4.95/5.00 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_bot1E_0,axiom,
% 4.95/5.00 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_empty_0,axiom,
% 4.95/5.00 c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_option_Oinject_0,axiom,
% 4.95/5.00 ( hAPP(c_Option_Ooption_OSome(T_a),V_a) != hAPP(c_Option_Ooption_OSome(T_a),V_a_H)
% 4.95/5.00 | V_a = V_a_H ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_state__not__singleton__def_1,axiom,
% 4.95/5.00 ( c_Hoare__Mirabelle_Ostate__not__singleton
% 4.95/5.00 | V_x = V_xa ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_empty__is__image_0,axiom,
% 4.95/5.00 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a)
% 4.95/5.00 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_COMBB__def_0,axiom,
% 4.95/5.00 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_image__empty_0,axiom,
% 4.95/5.00 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)) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_com_Osimps_I6_J_0,axiom,
% 4.95/5.00 ( hAPP(c_Com_Ocom_OBODY,V_pname) != hAPP(c_Com_Ocom_OBODY,V_pname_H)
% 4.95/5.00 | V_pname = V_pname_H ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_empty__is__image_1,axiom,
% 4.95/5.00 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) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_conjecture_0,negated_conjecture,
% 4.95/5.00 c_Hoare__Mirabelle_Ostate__not__singleton ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_conjecture_1,negated_conjecture,
% 4.95/5.00 c_Com_OWT__bodies ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_conjecture_2,negated_conjecture,
% 4.95/5.00 c_Com_OWT(v_c) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_conjecture_3,negated_conjecture,
% 4.95/5.00 hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_conjecture_4,negated_conjecture,
% 4.95/5.00 ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),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),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ).
% 4.95/5.00
% 4.95/5.00 cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 4.95/5.00 ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))
% 4.95/5.00 | ~ class_Complete__Lattice_Ocomplete__lattice(T_1) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 4.95/5.00 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 4.95/5.00 | ~ class_Lattices_Olattice(T_1) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
% 4.95/5.00 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))
% 4.95/5.00 | ~ class_Lattices_Olattice(T_1) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom,
% 4.95/5.00 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))
% 4.95/5.00 | ~ class_Lattices_Odistrib__lattice(T_1) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
% 4.95/5.00 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))
% 4.95/5.00 | ~ class_Lattices_Obounded__lattice(T_1) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(clsarity_fun__Finite__Set_Ofinite_Ofinite,axiom,
% 4.95/5.00 ( class_Finite__Set_Ofinite_Ofinite(tc_fun(T_2,T_1))
% 4.95/5.00 | ~ class_Finite__Set_Ofinite_Ofinite(T_1)
% 4.95/5.00 | ~ class_Finite__Set_Ofinite_Ofinite(T_2) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 4.95/5.00 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 4.95/5.00 | ~ class_Orderings_Opreorder(T_1) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 4.95/5.00 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 4.95/5.00 | ~ class_Lattices_Olattice(T_1) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 4.95/5.00 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 4.95/5.00 | ~ class_Orderings_Oorder(T_1) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(clsarity_fun__Orderings_Otop,axiom,
% 4.95/5.00 ( class_Orderings_Otop(tc_fun(T_2,T_1))
% 4.95/5.00 | ~ class_Orderings_Otop(T_1) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(clsarity_fun__Orderings_Obot,axiom,
% 4.95/5.00 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 4.95/5.00 | ~ class_Orderings_Obot(T_1) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(clsarity_fun__HOL_Oord,axiom,
% 4.95/5.00 ( class_HOL_Oord(tc_fun(T_2,T_1))
% 4.95/5.00 | ~ class_HOL_Oord(T_1) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
% 4.95/5.00 class_Lattices_Oupper__semilattice(tc_nat) ).
% 4.95/5.00
% 4.95/5.00 cnf(clsarity_nat__Lattices_Olower__semilattice,axiom,
% 4.95/5.00 class_Lattices_Olower__semilattice(tc_nat) ).
% 4.95/5.00
% 4.95/5.00 cnf(clsarity_nat__Lattices_Odistrib__lattice,axiom,
% 4.95/5.00 class_Lattices_Odistrib__lattice(tc_nat) ).
% 4.95/5.00
% 4.95/5.00 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 4.95/5.00 class_Orderings_Opreorder(tc_nat) ).
% 4.95/5.00
% 4.95/5.00 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 4.95/5.00 class_Orderings_Olinorder(tc_nat) ).
% 4.95/5.00
% 4.95/5.00 cnf(clsarity_nat__Lattices_Olattice,axiom,
% 4.95/5.00 class_Lattices_Olattice(tc_nat) ).
% 4.95/5.00
% 4.95/5.00 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 4.95/5.00 class_Orderings_Oorder(tc_nat) ).
% 4.95/5.00
% 4.95/5.00 cnf(clsarity_nat__Orderings_Obot,axiom,
% 4.95/5.00 class_Orderings_Obot(tc_nat) ).
% 4.95/5.00
% 4.95/5.00 cnf(clsarity_nat__HOL_Oord,axiom,
% 4.95/5.00 class_HOL_Oord(tc_nat) ).
% 4.95/5.00
% 4.95/5.00 cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom,
% 4.95/5.00 class_Complete__Lattice_Ocomplete__lattice(tc_bool) ).
% 4.95/5.00
% 4.95/5.00 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 4.95/5.00 class_Lattices_Oupper__semilattice(tc_bool) ).
% 4.95/5.00
% 4.95/5.00 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
% 4.95/5.00 class_Lattices_Olower__semilattice(tc_bool) ).
% 4.95/5.00
% 4.95/5.00 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom,
% 4.95/5.00 class_Lattices_Odistrib__lattice(tc_bool) ).
% 4.95/5.00
% 4.95/5.00 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
% 4.95/5.00 class_Lattices_Obounded__lattice(tc_bool) ).
% 4.95/5.00
% 4.95/5.00 cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom,
% 4.95/5.00 class_Finite__Set_Ofinite_Ofinite(tc_bool) ).
% 4.95/5.00
% 4.95/5.00 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 4.95/5.00 class_Orderings_Opreorder(tc_bool) ).
% 4.95/5.00
% 4.95/5.00 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 4.95/5.00 class_Lattices_Olattice(tc_bool) ).
% 4.95/5.00
% 4.95/5.00 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 4.95/5.00 class_Orderings_Oorder(tc_bool) ).
% 4.95/5.00
% 4.95/5.00 cnf(clsarity_bool__Orderings_Otop,axiom,
% 4.95/5.00 class_Orderings_Otop(tc_bool) ).
% 4.95/5.00
% 4.95/5.00 cnf(clsarity_bool__Orderings_Obot,axiom,
% 4.95/5.00 class_Orderings_Obot(tc_bool) ).
% 4.95/5.00
% 4.95/5.00 cnf(clsarity_bool__HOL_Oord,axiom,
% 4.95/5.00 class_HOL_Oord(tc_bool) ).
% 4.95/5.00
% 4.95/5.00 cnf(clsarity_Option__Ooption__Finite__Set_Ofinite_Ofinite,axiom,
% 4.95/5.00 ( class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(T_1))
% 4.95/5.00 | ~ class_Finite__Set_Ofinite_Ofinite(T_1) ) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_ATP__Linkup_OCOMBC__def_0,axiom,
% 4.95/5.00 c_COMBC(V_P,V_Q,V_R,T_b,T_c,T_a) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_ATP__Linkup_OCOMBB__def_0,axiom,
% 4.95/5.00 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 4.95/5.00 hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ).
% 4.95/5.00
% 4.95/5.00 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 4.95/5.00 ( V_X = V_Y
% 4.95/5.00 | ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y)) ) ).
% 4.95/5.00
% 4.95/5.00 %------------------------------------------------------------------------------
% 4.95/5.00 %-------------------------------------------
% 4.95/5.00 % Proof found
% 4.95/5.00 % SZS status Theorem for theBenchmark
% 4.95/5.00 % SZS output start Proof
% 4.95/5.00 %ClaNum:707(EqnAxiom:157)
% 4.95/5.00 %VarNum:3654(SingletonVarNum:1755)
% 4.95/5.00 %MaxLitNum:5
% 4.95/5.00 %MaxfuncDepth:5
% 4.95/5.00 %SharedTerms:81
% 4.95/5.00 %goalClause: 158 159 182 183 367
% 4.95/5.00 %singleGoalClaCount:5
% 4.95/5.00 [158]P1(a500)
% 4.95/5.00 [159]P2(a500)
% 4.95/5.00 [160]P8(a1)
% 4.95/5.00 [161]P10(a1)
% 4.95/5.00 [162]P13(a1)
% 4.95/5.00 [163]P13(a49)
% 4.95/5.00 [164]P14(a1)
% 4.95/5.00 [165]P14(a49)
% 4.95/5.00 [166]P15(a1)
% 4.95/5.00 [167]P15(a49)
% 4.95/5.00 [168]P16(a1)
% 4.95/5.00 [169]P16(a49)
% 4.95/5.00 [170]P17(a1)
% 4.95/5.00 [171]P18(a1)
% 4.95/5.00 [172]P18(a49)
% 4.95/5.00 [173]P11(a1)
% 4.95/5.00 [174]P12(a1)
% 4.95/5.00 [175]P12(a49)
% 4.95/5.00 [176]P19(a1)
% 4.95/5.00 [177]P19(a49)
% 4.95/5.00 [178]P21(a1)
% 4.95/5.00 [179]P21(a49)
% 4.95/5.00 [180]P20(a49)
% 4.95/5.00 [181]P3(a2)
% 4.95/5.00 [182]P3(a51)
% 4.95/5.00 [195]P4(f28(a3,a46,a12),a46)
% 4.95/5.00 [183]E(f33(f13(a12),a52),f33(a3,a53))
% 4.95/5.00 [188]E(f33(f33(f38(f45(a43)),a54),f14(a43)),f15(a54,a43))
% 4.95/5.00 [207]E(f42(a54,f37(f50(a43,a1)),a43),f33(f37(f50(a43,a1)),a54))
% 4.95/5.00 [367]~P5(f37(f50(f47(a48),a1)),f41(f5(a19,a8,a12,f47(a48),a46),f28(a3,a46,a12),a46,f47(a48)),a48)
% 4.95/5.00 [299]~E(f33(a8,x2991),a2)
% 4.95/5.00 [185]P22(f15(f14(x1851),x1851))
% 4.95/5.00 [187]P4(f37(f50(x1871,a1)),x1871)
% 4.95/5.00 [226]E(f18(f38(a48),x2261,f27(x2261),a48),f33(a19,x2261))
% 4.95/5.00 [322]~E(f39(f50(x3221,a1)),f37(f50(x3221,a1)))
% 4.95/5.00 [193]P22(f33(f33(f27(a2),x1931),x1931))
% 4.95/5.00 [184]P3(f7(x1841,x1842))
% 4.95/5.00 [190]P9(x1901,x1901,f50(x1902,a1))
% 4.95/5.00 [224]P6(f13(x2241),x2242,x2241,f45(x2241))
% 4.95/5.00 [303]~E(f23(x3031,x3032),a2)
% 4.95/5.00 [304]~E(f24(x3041,x3042),a2)
% 4.95/5.00 [305]~E(f7(x3051,x3052),a2)
% 4.95/5.00 [191]E(f16(x1911,x1911,f50(x1912,a1)),x1911)
% 4.95/5.00 [192]E(f17(x1921,x1921,f50(x1922,a1)),x1921)
% 4.95/5.00 [197]P9(x1971,f39(f50(x1972,a1)),f50(x1972,a1))
% 4.95/5.00 [198]P9(f37(f50(x1981,a1)),x1982,f50(x1981,a1))
% 4.95/5.00 [199]E(f16(x1991,f37(f50(x1992,a1)),f50(x1992,a1)),x1991)
% 4.95/5.00 [200]E(f17(x2001,f39(f50(x2002,a1)),f50(x2002,a1)),x2001)
% 4.95/5.00 [201]E(f16(f37(f50(x2011,a1)),x2012,f50(x2011,a1)),x2012)
% 4.95/5.00 [202]E(f17(f39(f50(x2021,a1)),x2022,f50(x2021,a1)),x2022)
% 4.95/5.00 [208]E(f16(x2081,f39(f50(x2082,a1)),f50(x2082,a1)),f39(f50(x2082,a1)))
% 4.95/5.00 [209]E(f17(x2091,f37(f50(x2092,a1)),f50(x2092,a1)),f37(f50(x2092,a1)))
% 4.95/5.00 [210]E(f16(f39(f50(x2101,a1)),x2102,f50(x2101,a1)),f39(f50(x2101,a1)))
% 4.95/5.00 [211]E(f17(f37(f50(x2111,a1)),x2112,f50(x2111,a1)),f37(f50(x2111,a1)))
% 4.95/5.00 [309]~E(f33(f13(x3091),x3092),f14(x3091))
% 4.95/5.00 [186]E(f33(f34(x1861),f33(f13(x1861),x1862)),x1862)
% 4.95/5.00 [194]P22(f33(f33(f38(x1941),x1942),x1942))
% 4.95/5.00 [203]P5(x2031,f37(f50(f47(x2032),a1)),x2032)
% 4.95/5.00 [204]P22(f33(f39(f50(x2041,a1)),x2042))
% 4.95/5.00 [215]E(f28(f4(f14(x2151),f45(x2151),x2152),x2152,x2151),f37(f50(x2152,a1)))
% 4.95/5.00 [216]P22(f42(x2161,f39(f50(x2162,a1)),x2162))
% 4.95/5.00 [355]~P22(f15(f33(f13(x3551),x3552),x3551))
% 4.95/5.00 [362]~P22(f33(f37(f50(x3621,a1)),x3622))
% 4.95/5.00 [365]~P22(f42(x3651,f37(f50(x3652,a1)),x3652))
% 4.95/5.00 [213]P9(x2131,f40(x2132,x2131,x2133),f50(x2133,a1))
% 4.95/5.00 [310]~E(f23(x3101,x3102),f33(a8,x3103))
% 4.95/5.00 [311]~E(f24(x3111,x3112),f33(a8,x3113))
% 4.95/5.00 [312]~E(f7(x3121,x3122),f33(a8,x3123))
% 4.95/5.00 [313]~E(f33(a8,x3131),f23(x3132,x3133))
% 4.95/5.00 [314]~E(f33(a8,x3141),f24(x3142,x3143))
% 4.95/5.00 [315]~E(f33(a8,x3151),f7(x3152,x3153))
% 4.95/5.00 [326]~E(f10(x3261,x3262,x3263),a2)
% 4.95/5.00 [327]~E(f11(x3271,x3272,x3273),a2)
% 4.95/5.00 [328]~E(f9(x3281,x3282,x3283),a2)
% 4.95/5.00 [205]E(f16(x2051,x2052,f50(x2053,a1)),f16(x2052,x2051,f50(x2053,a1)))
% 4.95/5.00 [206]E(f17(x2061,x2062,f50(x2063,a1)),f17(x2062,x2061,f50(x2063,a1)))
% 4.95/5.00 [217]E(f40(x2171,f40(x2171,x2172,x2173),x2173),f40(x2171,x2172,x2173))
% 4.95/5.00 [218]P9(x2181,f16(x2182,x2181,f50(x2183,a1)),f50(x2183,a1))
% 4.95/5.00 [219]P9(x2191,f16(x2191,x2192,f50(x2193,a1)),f50(x2193,a1))
% 4.95/5.00 [220]P9(f17(x2201,x2202,f50(x2203,a1)),x2202,f50(x2203,a1))
% 4.95/5.00 [221]P9(f17(x2211,x2212,f50(x2213,a1)),x2211,f50(x2213,a1))
% 4.95/5.00 [222]P22(f33(f40(x2221,x2222,x2223),x2221))
% 4.95/5.00 [223]E(f32(x2231,f14(x2232),x2232,x2233),f14(x2233))
% 4.95/5.00 [228]P6(x2281,f37(f50(x2282,a1)),x2282,x2283)
% 4.95/5.00 [229]E(f16(x2291,f16(x2291,x2292,f50(x2293,a1)),f50(x2293,a1)),f16(x2291,x2292,f50(x2293,a1)))
% 4.95/5.00 [230]E(f17(x2301,f17(x2301,x2302,f50(x2303,a1)),f50(x2303,a1)),f17(x2301,x2302,f50(x2303,a1)))
% 4.95/5.00 [234]P22(f42(x2341,f40(x2341,x2342,x2343),x2343))
% 4.95/5.00 [238]E(f16(f40(x2381,f37(f50(x2382,a1)),x2382),x2383,f50(x2382,a1)),f40(x2381,x2383,x2382))
% 4.95/5.00 [264]P5(x2641,f40(f18(x2642,a2,x2642,x2643),f37(f50(f47(x2643),a1)),f47(x2643)),x2643)
% 4.95/5.00 [353]~E(f40(x3531,x3532,x3533),f37(f50(x3533,a1)))
% 4.95/5.00 [354]~E(f37(f50(x3541,a1)),f40(x3542,x3543,x3541))
% 4.95/5.00 [227]E(f28(f4(f33(f13(x2271),x2272),f45(x2271),x2273),x2273,x2271),f39(f50(x2273,a1)))
% 4.95/5.00 [236]E(f41(x2361,f37(f50(x2362,a1)),x2362,x2363),f37(f50(x2363,a1)))
% 4.95/5.00 [239]E(f29(x2391,f4(f14(x2392),f45(x2392),x2393),x2393,x2392),x2391)
% 4.95/5.00 [240]E(f29(f4(f14(x2401),f45(x2401),x2402),x2403,x2402,x2401),x2403)
% 4.95/5.00 [280]E(f30(x2801,f4(f14(x2802),f45(x2802),a43),a54,x2802,x2803,a43),f14(x2803))
% 4.95/5.00 [281]E(f30(f4(f14(x2811),f45(x2811),x2812),x2813,a54,x2812,x2811,a43),f14(x2811))
% 4.95/5.00 [317]~E(f24(x3171,x3172),f23(x3173,x3174))
% 4.95/5.00 [320]~E(f7(x3201,x3202),f23(x3203,x3204))
% 4.95/5.00 [321]~E(f7(x3211,x3212),f24(x3213,x3214))
% 4.95/5.00 [329]~E(f33(a8,x3291),f10(x3292,x3293,x3294))
% 4.95/5.00 [330]~E(f33(a8,x3301),f11(x3302,x3303,x3304))
% 4.95/5.00 [331]~E(f33(a8,x3311),f9(x3312,x3313,x3314))
% 4.95/5.00 [332]~E(f10(x3321,x3322,x3323),f33(a8,x3324))
% 4.95/5.00 [333]~E(f11(x3331,x3332,x3333),f33(a8,x3334))
% 4.95/5.00 [334]~E(f9(x3341,x3342,x3343),f33(a8,x3344))
% 4.95/5.00 [196]E(f33(f4(x1961,x1962,x1963),x1964),x1961)
% 4.95/5.00 [231]E(f40(x2311,f40(x2312,x2313,x2314),x2314),f40(x2312,f40(x2311,x2313,x2314),x2314))
% 4.95/5.00 [244]E(f16(x2441,f16(x2442,x2443,f50(x2444,a1)),f50(x2444,a1)),f16(x2442,f16(x2441,x2443,f50(x2444,a1)),f50(x2444,a1)))
% 4.95/5.00 [245]E(f17(x2451,f17(x2452,x2453,f50(x2454,a1)),f50(x2454,a1)),f17(x2452,f17(x2451,x2453,f50(x2454,a1)),f50(x2454,a1)))
% 4.95/5.00 [246]E(f16(f16(x2461,x2462,f50(x2463,a1)),x2464,f50(x2463,a1)),f16(x2461,f16(x2462,x2464,f50(x2463,a1)),f50(x2463,a1)))
% 4.95/5.00 [247]E(f17(f17(x2471,x2472,f50(x2473,a1)),x2474,f50(x2473,a1)),f17(x2471,f17(x2472,x2474,f50(x2473,a1)),f50(x2473,a1)))
% 4.95/5.00 [251]E(f17(f16(x2511,x2512,f50(x2513,a1)),f16(x2511,x2514,f50(x2513,a1)),f50(x2513,a1)),f16(x2511,f17(x2512,x2514,f50(x2513,a1)),f50(x2513,a1)))
% 4.95/5.00 [252]E(f16(f17(x2521,x2522,f50(x2523,a1)),f17(x2521,x2524,f50(x2523,a1)),f50(x2523,a1)),f17(x2521,f16(x2522,x2524,f50(x2523,a1)),f50(x2523,a1)))
% 4.95/5.00 [253]E(f17(f16(x2531,x2532,f50(x2533,a1)),f16(x2534,x2532,f50(x2533,a1)),f50(x2533,a1)),f16(f17(x2531,x2534,f50(x2533,a1)),x2532,f50(x2533,a1)))
% 4.95/5.00 [254]E(f16(f17(x2541,x2542,f50(x2543,a1)),f17(x2544,x2542,f50(x2543,a1)),f50(x2543,a1)),f17(f16(x2541,x2544,f50(x2543,a1)),x2542,f50(x2543,a1)))
% 4.95/5.00 [255]E(f16(f28(x2551,x2552,x2553),f28(x2554,x2552,x2553),f50(x2552,a1)),f28(f29(x2554,x2551,x2552,x2553),x2552,x2553))
% 4.95/5.00 [257]E(f35(x2571,x2572,f14(x2573),x2574,x2573),x2571)
% 4.95/5.00 [258]E(f36(x2581,x2582,f14(x2583),x2584,x2583),x2581)
% 4.95/5.00 [261]E(f20(x2611,x2612,f33(x2611,x2612),x2613,x2614),x2611)
% 4.95/5.00 [268]E(f17(f17(f16(x2681,x2682,f50(x2683,a1)),f16(x2682,x2684,f50(x2683,a1)),f50(x2683,a1)),f16(x2684,x2681,f50(x2683,a1)),f50(x2683,a1)),f16(f16(f17(x2681,x2682,f50(x2683,a1)),f17(x2682,x2684,f50(x2683,a1)),f50(x2683,a1)),f17(x2684,x2681,f50(x2683,a1)),f50(x2683,a1)))
% 4.95/5.00 [237]E(f32(x2371,f33(f13(x2372),x2373),x2372,x2374),f33(f13(x2374),f33(x2371,x2373)))
% 4.95/5.00 [241]E(f40(x2411,f16(x2412,x2413,f50(x2414,a1)),x2414),f16(x2412,f40(x2411,x2413,x2414),f50(x2414,a1)))
% 4.95/5.00 [242]E(f40(x2421,f16(x2422,x2423,f50(x2424,a1)),x2424),f16(f40(x2421,x2422,x2424),x2423,f50(x2424,a1)))
% 4.95/5.00 [248]E(f17(f40(x2481,x2482,x2483),f40(x2481,x2484,x2483),f50(x2483,a1)),f40(x2481,f17(x2482,x2484,f50(x2483,a1)),x2483))
% 4.95/5.00 [274]E(f28(f20(f4(f14(x2741),f45(x2741),x2742),x2743,f33(f13(x2741),x2744),x2742,f45(x2741)),x2742,x2741),f40(x2743,f37(f50(x2742,a1)),x2742))
% 4.95/5.00 [265]P22(f42(f33(x2651,x2652),f41(x2651,f39(f50(x2653,a1)),x2653,x2654),x2654))
% 4.95/5.00 [335]~E(f23(x3351,x3352),f10(x3353,x3354,x3355))
% 4.95/5.00 [336]~E(f23(x3361,x3362),f11(x3363,x3364,x3365))
% 4.95/5.00 [337]~E(f23(x3371,x3372),f9(x3373,x3374,x3375))
% 4.95/5.00 [338]~E(f24(x3381,x3382),f10(x3383,x3384,x3385))
% 4.95/5.00 [339]~E(f24(x3391,x3392),f11(x3393,x3394,x3395))
% 4.95/5.00 [340]~E(f24(x3401,x3402),f9(x3403,x3404,x3405))
% 4.95/5.00 [341]~E(f7(x3411,x3412),f10(x3413,x3414,x3415))
% 4.95/5.00 [342]~E(f7(x3421,x3422),f11(x3423,x3424,x3425))
% 4.95/5.00 [343]~E(f7(x3431,x3432),f9(x3433,x3434,x3435))
% 4.95/5.00 [344]~E(f10(x3441,x3442,x3443),f23(x3444,x3445))
% 4.95/5.00 [345]~E(f10(x3451,x3452,x3453),f24(x3454,x3455))
% 4.95/5.00 [346]~E(f10(x3461,x3462,x3463),f7(x3464,x3465))
% 4.95/5.00 [347]~E(f11(x3471,x3472,x3473),f23(x3474,x3475))
% 4.95/5.00 [348]~E(f11(x3481,x3482,x3483),f24(x3484,x3485))
% 4.95/5.00 [349]~E(f11(x3491,x3492,x3493),f7(x3494,x3495))
% 4.95/5.00 [350]~E(f9(x3501,x3502,x3503),f23(x3504,x3505))
% 4.95/5.00 [351]~E(f9(x3511,x3512,x3513),f24(x3514,x3515))
% 4.95/5.00 [352]~E(f9(x3521,x3522,x3523),f7(x3524,x3525))
% 4.95/5.00 [256]E(f41(x2561,f40(x2562,x2563,x2564),x2564,x2565),f40(f33(x2561,x2562),f41(x2561,x2563,x2564,x2565),x2565))
% 4.95/5.00 [267]E(f29(f29(x2671,x2672,x2673,x2674),x2675,x2673,x2674),f29(x2671,f29(x2672,x2675,x2673,x2674),x2673,x2674))
% 4.95/5.00 [270]E(f33(f20(x2701,x2702,x2703,x2704,x2705),x2702),x2703)
% 4.95/5.00 [366]~E(f20(x3661,x3662,f33(f13(x3663),x3664),x3665,f45(x3663)),f4(f14(x3663),f45(x3663),x3665))
% 4.95/5.00 [262]E(f35(x2621,x2622,f33(f13(x2623),x2624),x2625,x2623),f33(x2622,x2624))
% 4.95/5.00 [263]E(f36(x2631,x2632,f33(f13(x2633),x2634),x2635,x2633),f33(x2632,x2634))
% 4.95/5.00 [266]E(f16(f41(x2661,x2662,x2663,x2664),f41(x2661,x2665,x2663,x2664),f50(x2664,a1)),f41(x2661,f16(x2662,x2665,f50(x2663,a1)),x2663,x2664))
% 4.95/5.00 [275]P9(f41(x2751,f17(x2752,x2753,f50(x2754,a1)),x2754,x2755),f17(f41(x2751,x2752,x2754,x2755),f41(x2751,x2753,x2754,x2755),f50(x2755,a1)),f50(x2755,a1))
% 4.95/5.00 [277]E(f41(f5(x2771,x2772,x2773,x2774,x2775),f39(f50(x2775,a1)),x2775,x2774),f41(x2771,f41(x2772,f39(f50(x2775,a1)),x2775,x2773),x2773,x2774))
% 4.95/5.00 [357]~E(f11(x3571,x3572,x3573),f10(x3574,x3575,x3576))
% 4.95/5.00 [360]~E(f9(x3601,x3602,x3603),f10(x3604,x3605,x3606))
% 4.95/5.00 [361]~E(f9(x3611,x3612,x3613),f11(x3614,x3615,x3616))
% 4.95/5.00 [272]E(f33(f5(x2721,x2722,x2723,x2724,x2725),x2726),f33(x2721,f33(x2722,x2726)))
% 4.95/5.00 [276]E(f41(x2761,f41(x2762,x2763,x2764,x2765),x2765,x2766),f41(f5(x2761,x2762,x2765,x2766,x2764),x2763,x2764,x2766))
% 4.95/5.00 [279]E(f20(f20(x2791,x2792,x2793,x2794,x2795),x2792,x2796,x2794,x2795),f20(x2791,x2792,x2796,x2794,x2795))
% 4.95/5.00 [278]E(f20(f29(x2781,x2782,x2783,x2784),x2785,f33(f13(x2784),x2786),x2783,f45(x2784)),f29(x2781,f20(x2782,x2785,f33(f13(x2784),x2786),x2783,f45(x2784)),x2783,x2784))
% 4.95/5.00 [282]E(f21(x2821,x2822,x2823,x2824,x2825,x2826,x2827,x2828,a2,x2829),x2821)
% 4.95/5.00 [283]E(f22(x2831,x2832,x2833,x2834,x2835,x2836,x2837,x2838,a2,x2839),x2831)
% 4.95/5.00 [284]E(f21(x2841,x2842,x2843,x2844,x2845,x2846,x2847,x2848,f33(a8,x2849),x28410),f33(x2847,x2849))
% 4.95/5.00 [285]E(f22(x2851,x2852,x2853,x2854,x2855,x2856,x2857,x2858,f33(a8,x2859),x28510),f33(x2857,x2859))
% 4.95/5.00 [286]E(f21(x2861,x2862,x2863,x2864,x2865,x2866,x2867,x2868,f7(x2869,x28610),x28611),f33(f33(x2862,x2869),x28610))
% 4.95/5.00 [287]E(f22(x2871,x2872,x2873,x2874,x2875,x2876,x2877,x2878,f23(x2879,x28710),x28711),f33(f33(x2874,x2879),x28710))
% 4.95/5.00 [288]E(f22(x2881,x2882,x2883,x2884,x2885,x2886,x2887,x2888,f24(x2889,x28810),x28811),f33(f33(x2886,x2889),x28810))
% 4.95/5.00 [289]E(f22(x2891,x2892,x2893,x2894,x2895,x2896,x2897,x2898,f7(x2899,x28910),x28911),f33(f33(x2892,x2899),x28910))
% 4.95/5.00 [294]E(f33(f33(f33(x2941,x2942),x2943),f21(x2944,x2945,x2946,x2947,x2948,x2941,x2949,x29410,x2943,x29411)),f21(x2944,x2945,x2946,x2947,x2948,x2941,x2949,x29410,f24(x2942,x2943),x29411))
% 4.95/5.00 [296]E(f33(f33(f33(f33(x2961,x2962),x2963),f21(x2964,x2965,x2966,x2961,x2967,x2968,x2969,x29610,x2962,x29611)),f21(x2964,x2965,x2966,x2961,x2967,x2968,x2969,x29610,x2963,x29611)),f21(x2964,x2965,x2966,x2961,x2967,x2968,x2969,x29610,f23(x2962,x2963),x29611))
% 4.95/5.00 [295]E(f33(f33(f33(f33(x2951,x2952),x2953),x2954),f21(x2955,x2956,x2951,x2957,x2958,x2959,x29510,x29511,x2954,x29512)),f21(x2955,x2956,x2951,x2957,x2958,x2959,x29510,x29511,f11(x2952,x2953,x2954),x29512))
% 4.95/5.00 [297]E(f33(f33(f33(f33(f33(x2971,x2972),x2973),x2974),f21(x2975,x2976,x2977,x2978,x2971,x2979,x29710,x29711,x2973,x29712)),f21(x2975,x2976,x2977,x2978,x2971,x2979,x29710,x29711,x2974,x29712)),f21(x2975,x2976,x2977,x2978,x2971,x2979,x29710,x29711,f10(x2972,x2973,x2974),x29712))
% 4.95/5.00 [290]E(f21(x2901,x2902,x2903,x2904,x2905,x2906,x2907,x2908,f9(x2909,x29010,x29011),x29012),f33(f33(f33(x2908,x2909),x29010),x29011))
% 4.95/5.00 [291]E(f22(x2911,x2912,x2913,x2914,x2915,x2916,x2917,x2918,f10(x2919,x29110,x29111),x29112),f33(f33(f33(x2915,x2919),x29110),x29111))
% 4.95/5.00 [292]E(f22(x2921,x2922,x2923,x2924,x2925,x2926,x2927,x2928,f11(x2929,x29210,x29211),x29212),f33(f33(f33(x2923,x2929),x29210),x29211))
% 4.95/5.00 [293]E(f22(x2931,x2932,x2933,x2934,x2935,x2936,x2937,x2938,f9(x2939,x29310,x29311),x29312),f33(f33(f33(x2938,x2939),x29310),x29311))
% 4.95/5.00 [369]~E(f55(x3691),x3691)+~P1(a500)
% 4.95/5.00 [370]~P11(x3701)+P11(f45(x3701))
% 4.95/5.00 [385]E(f33(a3,x3851),f14(a12))+P3(f33(a8,x3851))
% 4.95/5.00 [419]E(f33(f13(a12),f26(x4191)),f33(a3,x4191))+~P3(f33(a8,x4191))
% 4.95/5.00 [415]~P17(x4151)+E(f33(f39(f50(a43,x4151)),a54),f39(x4151))
% 4.95/5.00 [416]~P19(x4161)+E(f33(f37(f50(a43,x4161)),a54),f37(x4161))
% 4.95/5.00 [417]~P8(x4171)+E(f25(f39(f50(x4171,a1)),x4171),f39(x4171))
% 4.95/5.00 [418]~P8(x4181)+E(f25(f37(f50(x4181,a1)),x4181),f37(x4181))
% 4.95/5.00 [371]~P11(x3712)+P4(x3711,x3712)
% 4.95/5.00 [399]~P18(x3992)+P9(x3991,x3991,x3992)
% 4.95/5.00 [400]~P21(x4002)+P9(x4001,x4001,x4002)
% 4.95/5.00 [372]~P8(x3722)+P8(f50(x3721,x3722))
% 4.95/5.00 [373]~P10(x3732)+P10(f50(x3731,x3732))
% 4.95/5.00 [374]~P13(x3742)+P13(f50(x3741,x3742))
% 4.95/5.00 [375]~P14(x3752)+P14(f50(x3751,x3752))
% 4.95/5.00 [376]~P13(x3762)+P15(f50(x3761,x3762))
% 4.95/5.00 [377]~P13(x3772)+P16(f50(x3771,x3772))
% 4.95/5.00 [378]~P17(x3782)+P17(f50(x3781,x3782))
% 4.95/5.00 [379]~P18(x3792)+P18(f50(x3791,x3792))
% 4.95/5.00 [380]~P12(x3802)+P12(f50(x3801,x3802))
% 4.95/5.00 [381]~P19(x3812)+P19(f50(x3811,x3812))
% 4.95/5.00 [382]~P21(x3822)+P21(f50(x3821,x3822))
% 4.95/5.00 [383]~P3(x3832)+P3(f24(x3831,x3832))
% 4.95/5.00 [384]E(x3841,x3842)+~E(f33(a8,x3841),f33(a8,x3842))
% 4.95/5.00 [394]P3(x3941)+~P3(f23(x3942,x3941))
% 4.95/5.00 [395]P3(x3951)+~P3(f23(x3951,x3952))
% 4.95/5.00 [396]P3(x3961)+~P3(f24(x3962,x3961))
% 4.95/5.00 [398]E(x3981,f14(x3982))+~P22(f15(x3981,x3982))
% 4.95/5.00 [401]~P15(x4012)+E(f16(x4011,x4011,x4012),x4011)
% 4.95/5.00 [402]~P16(x4022)+E(f17(x4021,x4021,x4022),x4021)
% 4.95/5.00 [404]~P17(x4042)+P9(x4041,f39(x4042),x4042)
% 4.95/5.00 [405]~P19(x4051)+P9(f37(x4051),x4052,x4051)
% 4.95/5.00 [406]~P10(x4062)+E(f16(x4061,f37(x4062),x4062),x4061)
% 4.95/5.00 [407]~P10(x4072)+E(f17(x4071,f39(x4072),x4072),x4071)
% 4.95/5.00 [408]~P10(x4081)+E(f16(f37(x4081),x4082,x4081),x4082)
% 4.95/5.00 [409]~P10(x4091)+E(f17(f39(x4091),x4092,x4091),x4092)
% 4.95/5.00 [410]~P10(x4102)+E(f16(x4101,f39(x4102),x4102),f39(x4102))
% 4.95/5.00 [411]~P10(x4112)+E(f17(x4111,f37(x4112),x4112),f37(x4112))
% 4.95/5.00 [412]~P10(x4121)+E(f16(f39(x4121),x4122,x4121),f39(x4121))
% 4.95/5.00 [413]~P10(x4131)+E(f17(f37(x4131),x4132,x4131),f37(x4131))
% 4.95/5.00 [495]~P9(x4951,f37(f50(x4952,a1)),f50(x4952,a1))+E(x4951,f37(f50(x4952,a1)))
% 4.95/5.00 [675]P5(x6751,f40(f33(a19,f33(a8,x6752)),f37(f50(f47(a48),a1)),f47(a48)),a48)+~P5(f40(f33(a19,f33(a8,x6752)),x6751,f47(a48)),f40(f33(a19,f33(f34(a12),f33(a3,x6752))),f37(f50(f47(a48),a1)),f47(a48)),a48)
% 4.95/5.00 [439]E(x4391,x4392)+~P22(f33(f33(f27(a2),x4392),x4391))
% 4.95/5.00 [496]~P8(x4962)+E(f25(f40(x4961,f37(f50(x4962,a1)),x4962),x4962),x4961)
% 4.95/5.00 [431]~P5(x4311,x4312,x4313)+P7(x4311,x4312,x4313)
% 4.95/5.00 [424]~P13(x4243)+E(f16(x4241,x4242,x4243),f16(x4242,x4241,x4243))
% 4.95/5.00 [425]~P15(x4253)+E(f16(x4251,x4252,x4253),f16(x4252,x4251,x4253))
% 4.95/5.00 [426]~P13(x4263)+E(f17(x4261,x4262,x4263),f17(x4262,x4261,x4263))
% 4.95/5.00 [427]~P16(x4273)+E(f17(x4271,x4272,x4273),f17(x4272,x4271,x4273))
% 4.95/5.00 [429]~P3(x4293)+P3(f11(x4291,x4292,x4293))
% 4.95/5.00 [432]~P4(x4322,x4323)+P4(f40(x4321,x4322,x4323),x4323)
% 4.95/5.00 [440]P3(f9(x4401,x4402,x4403))+~P3(f33(a8,x4402))
% 4.95/5.00 [441]~P22(f33(x4412,x4411))+P22(f42(x4411,x4412,x4413))
% 4.95/5.00 [444]~P13(x4443)+P9(x4441,f16(x4442,x4441,x4443),x4443)
% 4.95/5.00 [445]~P15(x4453)+P9(x4451,f16(x4452,x4451,x4453),x4453)
% 4.95/5.00 [446]~P13(x4463)+P9(x4461,f16(x4461,x4462,x4463),x4463)
% 4.95/5.00 [447]~P15(x4473)+P9(x4471,f16(x4471,x4472,x4473),x4473)
% 4.95/5.00 [448]~P13(x4483)+P9(f17(x4481,x4482,x4483),x4482,x4483)
% 4.95/5.00 [449]~P16(x4493)+P9(f17(x4491,x4492,x4493),x4492,x4493)
% 4.95/5.00 [450]~P13(x4503)+P9(f17(x4501,x4502,x4503),x4501,x4503)
% 4.95/5.00 [451]~P16(x4513)+P9(f17(x4511,x4512,x4513),x4511,x4513)
% 4.95/5.00 [464]P3(x4641)+~P3(f10(x4642,x4643,x4641))
% 4.95/5.00 [465]P3(x4651)+~P3(f10(x4652,x4651,x4653))
% 4.95/5.00 [466]P3(x4661)+~P3(f11(x4662,x4663,x4661))
% 4.95/5.00 [483]~P3(f9(x4832,x4831,x4833))+P3(f33(a8,x4831))
% 4.95/5.00 [484]P4(x4841,x4842)+~P4(f40(x4843,x4841,x4842),x4842)
% 4.95/5.00 [485]P22(f33(x4851,x4852))+~P22(f42(x4852,x4851,x4853))
% 4.95/5.00 [494]E(f40(x4941,x4942,x4943),x4942)+~P22(f42(x4941,x4942,x4943))
% 4.95/5.00 [403]E(x4031,x4032)+~E(f33(f13(x4033),x4031),f33(f13(x4033),x4032))
% 4.95/5.00 [452]~P13(x4523)+E(f16(x4521,f17(x4521,x4522,x4523),x4523),x4521)
% 4.95/5.00 [453]~P13(x4533)+E(f17(x4531,f16(x4531,x4532,x4533),x4533),x4531)
% 4.95/5.00 [470]~P4(x4702,x4703)+P4(f17(x4701,x4702,f50(x4703,a1)),x4703)
% 4.95/5.00 [471]~P4(x4711,x4713)+P4(f17(x4711,x4712,f50(x4713,a1)),x4713)
% 4.95/5.00 [472]E(x4721,f37(f50(x4722,a1)))+~E(f16(x4723,x4721,f50(x4722,a1)),f37(f50(x4722,a1)))
% 4.95/5.00 [473]E(x4731,f37(f50(x4732,a1)))+~E(f16(x4731,x4733,f50(x4732,a1)),f37(f50(x4732,a1)))
% 4.95/5.00 [474]E(x4741,f4(f14(x4742),f45(x4742),x4743))+~E(f28(x4741,x4743,x4742),f37(f50(x4743,a1)))
% 4.95/5.00 [475]P5(x4751,x4752,x4753)+~P9(x4752,x4751,f50(f47(x4753),a1))
% 4.95/5.00 [478]~P9(x4781,x4782,f50(x4783,a1))+E(f16(x4781,x4782,f50(x4783,a1)),x4782)
% 4.95/5.00 [479]~P9(x4792,x4791,f50(x4793,a1))+E(f16(x4791,x4792,f50(x4793,a1)),x4791)
% 4.95/5.00 [480]~P9(x4802,x4801,f50(x4803,a1))+E(f17(x4801,x4802,f50(x4803,a1)),x4802)
% 4.95/5.00 [481]~P9(x4811,x4812,f50(x4813,a1))+E(f17(x4811,x4812,f50(x4813,a1)),x4811)
% 4.95/5.00 [482]P9(x4821,x4822,f50(x4823,a1))+~E(f16(x4821,x4822,f50(x4823,a1)),x4822)
% 4.95/5.00 [486]~P8(x4863)+E(f16(x4861,f25(x4862,x4863),x4863),f25(f40(x4861,x4862,x4863),x4863))
% 4.95/5.00 [489]~P13(x4893)+E(f16(x4891,f16(x4891,x4892,x4893),x4893),f16(x4891,x4892,x4893))
% 4.95/5.00 [490]~P15(x4903)+E(f16(x4901,f16(x4901,x4902,x4903),x4903),f16(x4901,x4902,x4903))
% 4.95/5.00 [491]~P13(x4913)+E(f17(x4911,f17(x4911,x4912,x4913),x4913),f17(x4911,x4912,x4913))
% 4.95/5.00 [492]~P16(x4923)+E(f17(x4921,f17(x4921,x4922,x4923),x4923),f17(x4921,x4922,x4923))
% 4.95/5.00 [511]P4(x5111,x5112)+~P4(f16(x5113,x5111,f50(x5112,a1)),x5112)
% 4.95/5.00 [512]P4(x5121,x5122)+~P4(f16(x5121,x5123,f50(x5122,a1)),x5122)
% 4.95/5.00 [454]E(x4541,x4542)+~P22(f33(f33(f38(x4543),x4541),x4542))
% 4.95/5.00 [509]~P13(x5093)+E(f16(f33(x5091,a54),f33(x5092,a54),x5093),f33(f16(x5091,x5092,f50(a43,x5093)),a54))
% 4.95/5.00 [510]~P13(x5103)+E(f17(f33(x5101,a54),f33(x5102,a54),x5103),f33(f17(x5101,x5102,f50(a43,x5103)),a54))
% 4.95/5.00 [535]E(x5351,x5352)+~E(f40(x5351,f37(f50(x5353,a1)),x5353),f40(x5352,f37(f50(x5353,a1)),x5353))
% 4.95/5.00 [703]P22(f33(x7031,x7032))+~P22(f33(x7031,f35(x7032,x7033,f14(a44),a43,a44)))
% 4.95/5.00 [544]P22(f33(x5441,x5442))+P22(f33(f33(f27(f24(x5441,x5443)),x5442),x5442))
% 4.95/5.00 [611]P22(f33(x6111,x6112))+~P22(f33(x6111,f6(f33(f13(x6113),x6112),x6111,x6113)))
% 4.95/5.00 [634]E(x6341,x6342)+~P22(f42(x6341,f40(x6342,f37(f50(x6343,a1)),x6343),x6343))
% 4.95/5.00 [604]~P8(x6043)+E(f25(f40(x6041,f40(x6042,f37(f50(x6043,a1)),x6043),x6043),x6043),f16(x6041,x6042,x6043))
% 4.95/5.00 [654]~P22(f33(f33(f27(f33(a8,x6541)),x6542),x6543))+P22(f33(f33(f27(f33(f34(a12),f33(a3,x6541))),x6542),x6543))
% 4.95/5.00 [667]P22(f33(f33(f27(f33(a8,x6671)),x6672),x6673))+~P22(f33(f33(f27(f33(f34(a12),f33(a3,x6671))),x6672),x6673))
% 4.95/5.00 [388]E(x3881,x3882)+~E(f23(x3883,x3881),f23(x3884,x3882))
% 4.95/5.00 [389]E(x3891,x3892)+~E(f24(x3893,x3891),f24(x3894,x3892))
% 4.95/5.00 [390]E(x3901,x3902)+~E(f7(x3903,x3901),f7(x3904,x3902))
% 4.95/5.00 [391]E(x3911,x3912)+~E(f23(x3911,x3913),f23(x3912,x3914))
% 4.95/5.00 [392]E(x3921,x3922)+~E(f24(x3921,x3923),f24(x3922,x3924))
% 4.95/5.00 [393]E(x3931,x3932)+~E(f7(x3931,x3933),f7(x3932,x3934))
% 4.95/5.00 [516]~P9(x5161,x5163,f50(x5164,a1))+P9(x5161,f40(x5162,x5163,x5164),f50(x5164,a1))
% 4.95/5.00 [545]~P9(f40(x5454,x5451,x5453),x5452,f50(x5453,a1))+P9(x5451,x5452,f50(x5453,a1))
% 4.95/5.00 [554]~E(f32(x5543,x5541,x5542,x5544),f14(x5544))+E(x5541,f14(x5542))
% 4.95/5.00 [555]~P9(f40(x5551,x5554,x5553),x5552,f50(x5553,a1))+P22(f42(x5551,x5552,x5553))
% 4.95/5.00 [560]~P9(x5602,x5604,f50(x5603,a1))+P9(f40(x5601,x5602,x5603),f40(x5601,x5604,x5603),f50(x5603,a1))
% 4.95/5.00 [589]~P4(x5892,x5893)+P4(f41(x5891,x5892,x5893,x5894),x5894)
% 4.95/5.00 [666]~P6(x6662,f28(x6662,x6663,x6664),x6663,f45(x6664))+P6(f29(x6661,x6662,x6663,x6664),f28(x6662,x6663,x6664),x6663,f45(x6664))
% 4.95/5.00 [672]~P6(f29(x6724,x6721,x6722,x6723),f28(x6721,x6722,x6723),x6722,f45(x6723))+P6(x6721,f28(x6721,x6722,x6723),x6722,f45(x6723))
% 4.95/5.00 [515]~P22(f33(x5152,x5154))+P22(f33(f40(x5151,x5152,x5153),x5154))
% 4.95/5.00 [526]P5(x5261,x5262,x5263)+~P5(x5261,f40(x5264,x5262,f47(x5263)),x5263)
% 4.95/5.00 [527]~P13(x5274)+E(f16(x5271,f16(x5272,x5273,x5274),x5274),f16(x5272,f16(x5271,x5273,x5274),x5274))
% 4.95/5.00 [528]~P15(x5284)+E(f16(x5281,f16(x5282,x5283,x5284),x5284),f16(x5282,f16(x5281,x5283,x5284),x5284))
% 4.95/5.00 [529]~P13(x5294)+E(f17(x5291,f17(x5292,x5293,x5294),x5294),f17(x5292,f17(x5291,x5293,x5294),x5294))
% 4.95/5.00 [530]~P16(x5304)+E(f17(x5301,f17(x5302,x5303,x5304),x5304),f17(x5302,f17(x5301,x5303,x5304),x5304))
% 4.95/5.00 [531]~P13(x5313)+E(f16(f16(x5311,x5312,x5313),x5314,x5313),f16(x5311,f16(x5312,x5314,x5313),x5313))
% 4.95/5.00 [532]~P15(x5323)+E(f16(f16(x5321,x5322,x5323),x5324,x5323),f16(x5321,f16(x5322,x5324,x5323),x5323))
% 4.95/5.00 [533]~P13(x5333)+E(f17(f17(x5331,x5332,x5333),x5334,x5333),f17(x5331,f17(x5332,x5334,x5333),x5333))
% 4.95/5.00 [534]~P16(x5343)+E(f17(f17(x5341,x5342,x5343),x5344,x5343),f17(x5341,f17(x5342,x5344,x5343),x5343))
% 4.95/5.00 [543]E(f33(x5431,x5432),f14(x5433))+P22(f42(x5432,f28(x5431,x5434,x5433),x5434))
% 4.95/5.00 [547]P22(f42(x5472,x5471,x5474))+E(f17(x5471,f40(x5472,x5473,x5474),f50(x5474,a1)),f17(x5471,x5473,f50(x5474,a1)))
% 4.95/5.00 [548]P22(f42(x5481,x5484,x5483))+E(f17(f40(x5481,x5482,x5483),x5484,f50(x5483,a1)),f17(x5482,x5484,f50(x5483,a1)))
% 4.95/5.00 [566]~P14(x5663)+E(f17(f16(x5661,x5662,x5663),f16(x5661,x5664,x5663),x5663),f16(x5661,f17(x5662,x5664,x5663),x5663))
% 4.95/5.00 [567]~P14(x5673)+E(f16(f17(x5671,x5672,x5673),f17(x5671,x5674,x5673),x5673),f17(x5671,f16(x5672,x5674,x5673),x5673))
% 4.95/5.00 [568]~P14(x5683)+E(f17(f16(x5681,x5682,x5683),f16(x5684,x5682,x5683),x5683),f16(f17(x5681,x5684,x5683),x5682,x5683))
% 4.95/5.00 [569]~P14(x5693)+E(f16(f17(x5691,x5692,x5693),f17(x5694,x5692,x5693),x5693),f17(f16(x5691,x5694,x5693),x5692,x5693))
% 4.95/5.00 [570]P9(x5701,x5702,f50(x5703,a1))+~P9(x5701,f17(x5704,x5702,f50(x5703,a1)),f50(x5703,a1))
% 4.95/5.00 [571]P9(x5711,x5712,f50(x5713,a1))+~P9(x5711,f17(x5712,x5714,f50(x5713,a1)),f50(x5713,a1))
% 4.95/5.00 [572]P9(x5721,x5722,f50(x5723,a1))+~P9(f16(x5724,x5721,f50(x5723,a1)),x5722,f50(x5723,a1))
% 4.95/5.00 [573]P9(x5731,x5732,f50(x5733,a1))+~P9(f16(x5731,x5734,f50(x5733,a1)),x5732,f50(x5733,a1))
% 4.95/5.00 [575]~E(f41(x5753,x5751,x5752,x5754),f37(f50(x5754,a1)))+E(x5751,f37(f50(x5752,a1)))
% 4.95/5.00 [585]~P22(f42(x5851,x5853,x5854))+P22(f42(x5851,f40(x5852,x5853,x5854),x5854))
% 4.95/5.00 [590]~E(f33(x5901,x5902),f14(x5903))+~P22(f42(x5902,f28(x5901,x5904,x5903),x5904))
% 4.95/5.00 [598]~P9(x5983,x5981,f50(x5984,a1))+E(f17(x5981,f16(x5982,x5983,f50(x5984,a1)),f50(x5984,a1)),f16(f17(x5981,x5982,f50(x5984,a1)),x5983,f50(x5984,a1)))
% 4.95/5.00 [603]~P5(x6031,f40(x6032,x6034,f47(x6033)),x6033)+P5(x6031,f40(x6032,f37(f50(f47(x6033),a1)),f47(x6033)),x6033)
% 4.95/5.00 [626]P9(x6261,x6262,f50(x6263,a1))+~E(f17(x6262,f16(x6264,x6261,f50(x6263,a1)),f50(x6263,a1)),f16(f17(x6262,x6264,f50(x6263,a1)),x6261,f50(x6263,a1)))
% 4.95/5.00 [642]~P13(x6424)+P9(f16(x6421,f17(x6422,x6423,x6424),x6424),f17(f16(x6421,x6422,x6424),f16(x6421,x6423,x6424),x6424),x6424)
% 4.95/5.00 [643]~P13(x6433)+P9(f16(f17(x6431,x6432,x6433),f17(x6431,x6434,x6433),x6433),f17(x6431,f16(x6432,x6434,x6433),x6433),x6433)
% 4.95/5.00 [645]E(f29(x6451,x6452,x6453,x6454),f29(x6452,x6451,x6453,x6454))+~E(f17(f28(x6451,x6453,x6454),f28(x6452,x6453,x6454),f50(x6453,a1)),f37(f50(x6453,a1)))
% 4.95/5.00 [649]E(f33(f13(x6491),f31(x6492,x6493,x6494,x6491)),f33(x6493,x6492))+~P22(f42(x6492,f28(x6493,x6494,x6491),x6494))
% 4.95/5.00 [550]~P22(f33(x5502,x5504))+P22(f33(f16(x5501,x5502,f50(x5503,a1)),x5504))
% 4.95/5.00 [551]~P22(f33(x5511,x5514))+P22(f33(f16(x5511,x5512,f50(x5513,a1)),x5514))
% 4.95/5.00 [583]E(x5831,f37(f50(x5832,a1)))+E(f41(f4(x5833,x5834,x5832),x5831,x5832,x5834),f40(x5833,f37(f50(x5834,a1)),x5834))
% 4.95/5.00 [591]P22(f33(x5911,x5912))+~P22(f33(f17(x5913,x5911,f50(x5914,a1)),x5912))
% 4.95/5.00 [592]P22(f33(x5921,x5922))+~P22(f33(f17(x5921,x5923,f50(x5924,a1)),x5922))
% 4.95/5.00 [593]~P22(f42(x5931,x5932,x5934))+E(f40(x5931,f17(x5932,x5933,f50(x5934,a1)),x5934),f17(x5932,f40(x5931,x5933,x5934),f50(x5934,a1)))
% 4.95/5.00 [594]~P22(f42(x5941,x5943,x5944))+E(f40(x5941,f17(x5942,x5943,f50(x5944,a1)),x5944),f17(f40(x5941,x5942,x5944),x5943,f50(x5944,a1)))
% 4.95/5.00 [601]~P22(f42(x6011,x6013,x6014))+P22(f42(x6011,f16(x6012,x6013,f50(x6014,a1)),x6014))
% 4.95/5.00 [602]~P22(f42(x6021,x6022,x6024))+P22(f42(x6021,f16(x6022,x6023,f50(x6024,a1)),x6024))
% 4.95/5.00 [614]P22(f42(x6141,x6142,x6143))+~P22(f42(x6141,f17(x6144,x6142,f50(x6143,a1)),x6143))
% 4.95/5.00 [615]P22(f42(x6151,x6152,x6153))+~P22(f42(x6151,f17(x6152,x6154,f50(x6153,a1)),x6153))
% 4.95/5.00 [705]P22(f33(x7051,f33(x7052,x7053)))+~P22(f33(x7051,f35(x7054,x7052,f33(f13(a44),x7053),a43,a44)))
% 4.95/5.00 [627]P6(x6271,x6272,x6273,x6274)+~P6(x6271,f40(x6275,x6272,x6273),x6273,x6274)
% 4.95/5.00 [656]~P9(x6562,x6565,f50(x6563,a1))+P9(f41(x6561,x6562,x6563,x6564),f41(x6561,x6565,x6563,x6564),f50(x6564,a1))
% 4.95/5.00 [676]~E(f20(x6761,x6762,x6763,x6764,x6765),x6761)+E(f33(x6761,x6762),x6763)
% 4.95/5.00 [508]E(f40(x5081,f28(x5082,x5083,x5084),x5083),f28(x5082,x5083,x5084))+~E(f33(x5082,x5081),f33(f13(x5084),x5085))
% 4.95/5.00 [549]~E(f33(x5492,x5491),f33(f13(x5494),x5495))+P22(f42(x5491,f28(x5492,x5493,x5494),x5493))
% 4.95/5.00 [628]E(f33(x6281,x6282),f14(x6283))+~E(f33(f29(x6284,x6281,x6285,x6283),x6282),f14(x6283))
% 4.95/5.00 [629]E(f33(x6291,x6292),f14(x6293))+~E(f33(f29(x6291,x6294,x6295,x6293),x6292),f14(x6293))
% 4.95/5.00 [635]E(f33(f29(x6351,x6352,x6353,x6354),x6355),f33(x6352,x6355))+P22(f42(x6355,f28(x6351,x6353,x6354),x6353))
% 4.95/5.00 [636]E(f33(f29(x6361,x6362,x6363,x6364),x6365),f33(x6361,x6365))+P22(f42(x6365,f28(x6362,x6363,x6364),x6363))
% 4.95/5.00 [637]P6(x6371,x6372,x6373,x6374)+~P6(x6371,f16(x6375,x6372,f50(x6373,a1)),x6373,x6374)
% 4.95/5.00 [638]P6(x6381,x6382,x6383,x6384)+~P6(x6381,f16(x6382,x6385,f50(x6383,a1)),x6383,x6384)
% 4.95/5.00 [646]~P22(f42(x6462,x6463,x6464))+E(f40(f33(x6461,x6462),f41(x6461,x6463,x6464,x6465),x6465),f41(x6461,x6463,x6464,x6465))
% 4.95/5.00 [648]E(f33(f29(x6481,x6482,x6483,x6484),x6485),f33(x6482,x6485))+~P22(f42(x6485,f28(x6482,x6483,x6484),x6483))
% 4.95/5.00 [660]E(f20(x6601,x6602,f33(f13(x6603),x6604),x6605,f45(x6603)),x6601)+~E(f33(x6601,x6602),f33(f13(x6603),x6604))
% 4.95/5.00 [664]~P22(f42(x6642,x6643,x6644))+P22(f42(f33(x6641,x6642),f41(x6641,x6643,x6644,x6645),x6645))
% 4.95/5.00 [687]~P5(x6871,f40(f18(x6872,f33(f34(a12),f33(a3,x6873)),x6874,x6875),f37(f50(f47(x6875),a1)),f47(x6875)),x6875)+P5(x6871,f40(f18(x6872,f33(a8,x6873),x6874,x6875),f37(f50(f47(x6875),a1)),f47(x6875)),x6875)
% 4.95/5.00 [695]~P5(f40(f18(x6952,f33(a8,x6953),x6954,x6955),x6951,f47(x6955)),f40(f18(x6952,f33(f34(a12),f33(a3,x6953)),x6954,x6955),f37(f50(f47(x6955),a1)),f47(x6955)),x6955)+P5(x6951,f40(f18(x6952,f33(a8,x6953),x6954,x6955),f37(f50(f47(x6955),a1)),f47(x6955)),x6955)
% 4.95/5.00 [609]~P22(f42(x6095,x6094,x6093))+E(f41(f4(x6091,x6092,x6093),x6094,x6093,x6092),f40(x6091,f37(f50(x6092,a1)),x6092))
% 4.95/5.00 [677]~P6(x6771,f39(f50(x6773,a1)),x6773,x6774)+E(f17(f41(x6771,x6772,x6773,x6774),f41(x6771,x6775,x6773,x6774),f50(x6774,a1)),f41(x6771,f17(x6772,x6775,f50(x6773,a1)),x6773,x6774))
% 4.95/5.00 [684]E(x6841,f14(x6842))+E(f28(f20(x6843,x6844,x6841,x6845,f45(x6842)),x6845,x6842),f40(x6844,f28(x6843,x6845,x6842),x6845))
% 4.95/5.00 [701]~P4(f41(x7012,f39(f50(x7015,a1)),x7015,x7013),x7013)+P4(f41(f5(x7011,x7012,x7013,x7014,x7015),f39(f50(x7015,a1)),x7015,x7014),x7014)
% 4.95/5.00 [455]E(x4551,x4552)+~E(f10(x4553,x4554,x4551),f10(x4555,x4556,x4552))
% 4.95/5.00 [456]E(x4561,x4562)+~E(f11(x4563,x4564,x4561),f11(x4565,x4566,x4562))
% 4.95/5.00 [457]E(x4571,x4572)+~E(f9(x4573,x4574,x4571),f9(x4575,x4576,x4572))
% 4.95/5.00 [458]E(x4581,x4582)+~E(f10(x4583,x4581,x4584),f10(x4585,x4582,x4586))
% 4.95/5.00 [459]E(x4591,x4592)+~E(f11(x4593,x4591,x4594),f11(x4595,x4592,x4596))
% 4.95/5.00 [460]E(x4601,x4602)+~E(f9(x4603,x4601,x4604),f9(x4605,x4602,x4606))
% 4.95/5.00 [461]E(x4611,x4612)+~E(f10(x4611,x4613,x4614),f10(x4612,x4615,x4616))
% 4.95/5.00 [462]E(x4621,x4622)+~E(f11(x4621,x4623,x4624),f11(x4622,x4625,x4626))
% 4.95/5.00 [463]E(x4631,x4632)+~E(f9(x4631,x4633,x4634),f9(x4632,x4635,x4636))
% 4.95/5.00 [697]~E(f33(x6972,x6973),f14(x6974))+E(f30(x6971,x6972,x6973,x6974,x6975,x6976),f14(x6975))
% 4.95/5.00 [597]E(f33(f29(x5971,x5972,x5973,x5974),x5975),f33(f13(x5974),x5976))+~E(f33(x5972,x5975),f33(f13(x5974),x5976))
% 4.95/5.00 [682]E(x6821,x6822)+E(f33(f20(x6823,x6821,x6824,x6825,x6826),x6822),f33(x6823,x6822))
% 4.95/5.00 [685]P22(f42(x6852,x6856,x6854))+E(f41(f20(x6851,x6852,x6853,x6854,x6855),x6856,x6854,x6855),f41(x6851,x6856,x6854,x6855))
% 4.95/5.00 [688]E(x6881,x6882)+~E(f33(f20(x6883,x6884,f33(f13(x6885),x6881),x6886,f45(x6885)),x6884),f33(f13(x6885),x6882))
% 4.95/5.00 [693]E(f20(f29(x6931,x6932,x6933,x6934),x6935,f33(f13(x6934),x6936),x6933,f45(x6934)),f29(f20(x6931,x6935,f33(f13(x6934),x6936),x6933,f45(x6934)),x6932,x6933,x6934))+P22(f42(x6935,f28(x6932,x6933,x6934),x6933))
% 4.95/5.00 [619]E(x6191,x6192)+~E(f18(x6193,x6194,x6191,x6195),f18(x6196,x6197,x6192,x6195))
% 4.95/5.00 [620]E(x6201,x6202)+~E(f18(x6203,x6201,x6204,x6205),f18(x6206,x6202,x6207,x6205))
% 4.95/5.00 [621]E(x6211,x6212)+~E(f18(x6211,x6213,x6214,x6215),f18(x6212,x6216,x6217,x6215))
% 4.95/5.00 [686]E(x6861,x6862)+~E(f20(x6863,x6864,f33(f13(x6865),x6861),x6866,f45(x6865)),f20(x6867,x6864,f33(f13(x6865),x6862),x6866,f45(x6865)))
% 4.95/5.00 [698]E(f30(x6981,x6982,x6983,x6984,x6985,x6986),f33(x6981,x6987))+~E(f33(x6982,x6983),f33(f13(x6984),x6987))
% 4.95/5.00 [702]E(x7021,x7022)+E(f20(f20(x7023,x7021,x7024,x7025,x7026),x7022,x7027,x7025,x7026),f20(f20(x7023,x7022,x7027,x7025,x7026),x7021,x7024,x7025,x7026))
% 4.95/5.00 [386]~P11(x3862)+~P11(x3861)+P11(f50(x3861,x3862))
% 4.95/5.00 [387]~P3(x3872)+~P3(x3871)+P3(f23(x3871,x3872))
% 4.95/5.00 [397]P3(x3971)+~P2(a500)+~E(f33(a3,x3972),f33(f13(a12),x3971))
% 4.95/5.00 [707]~P4(x7072,a46)+P5(x7071,f41(f5(a19,a8,a12,f47(a48),a46),x7072,a46,f47(a48)),a48)+~P5(f16(x7071,f41(f5(a19,a8,a12,f47(a48),a46),x7072,a46,f47(a48)),f50(f47(a48),a1)),f41(f5(a19,f5(f34(a12),a3,f45(a12),a12,a46),a12,f47(a48),a46),x7072,a46,f47(a48)),a48)
% 4.95/5.00 [428]P9(x4282,x4281,x4283)+~P20(x4283)+P9(x4281,x4282,x4283)
% 4.95/5.00 [420]~P10(x4202)+~E(f17(x4203,x4201,x4202),f39(x4202))+E(x4201,f39(x4202))
% 4.95/5.00 [421]~P10(x4212)+~E(f16(x4213,x4211,x4212),f37(x4212))+E(x4211,f37(x4212))
% 4.95/5.00 [422]~P10(x4222)+~E(f17(x4221,x4223,x4222),f39(x4222))+E(x4221,f39(x4222))
% 4.95/5.00 [423]~P10(x4232)+~E(f16(x4231,x4233,x4232),f37(x4232))+E(x4231,f37(x4232))
% 4.95/5.00 [430]~P3(x4303)+~P3(x4302)+P3(f10(x4301,x4302,x4303))
% 4.95/5.00 [433]~P15(x4333)+~P9(x4331,x4332,x4333)+E(f16(x4331,x4332,x4333),x4332)
% 4.95/5.00 [434]~P15(x4343)+~P9(x4342,x4341,x4343)+E(f16(x4341,x4342,x4343),x4341)
% 4.95/5.00 [435]~P16(x4353)+~P9(x4352,x4351,x4353)+E(f17(x4351,x4352,x4353),x4352)
% 4.95/5.01 [436]~P16(x4363)+~P9(x4361,x4362,x4363)+E(f17(x4361,x4362,x4363),x4361)
% 4.95/5.01 [437]~P15(x4373)+P9(x4371,x4372,x4373)+~E(f16(x4371,x4372,x4373),x4372)
% 4.95/5.01 [438]~P16(x4383)+P9(x4381,x4382,x4383)+~E(f17(x4381,x4382,x4383),x4381)
% 4.95/5.01 [443]P4(x4431,x4432)+~P4(x4433,x4432)+~P9(x4431,x4433,f50(x4432,a1))
% 4.95/5.01 [502]E(x5021,x5022)+~P9(x5021,x5022,f50(x5023,a1))+~P9(x5022,x5021,f50(x5023,a1))
% 4.95/5.01 [507]~P8(x5073)+P9(x5071,f25(x5072,x5073),x5073)+~P22(f42(x5071,x5072,x5073))
% 4.95/5.01 [652]~P4(x6522,x6523)+P6(x6521,x6522,x6523,x6523)+~P9(x6522,f41(x6521,x6522,x6523,x6523),f50(x6523,a1))
% 4.95/5.01 [488]~P4(x4882,x4883)+~P4(x4881,x4883)+P4(f16(x4881,x4882,f50(x4883,a1)),x4883)
% 4.95/5.01 [600]~P9(x6001,f40(x6003,f37(f50(x6002,a1)),x6002),f50(x6002,a1))+E(x6001,f37(f50(x6002,a1)))+E(x6001,f40(x6003,f37(f50(x6002,a1)),x6002))
% 4.95/5.01 [691]~P7(f37(f50(f47(a48),a1)),f40(f18(x6911,x6912,x6913,a48),f37(f50(f47(a48),a1)),f47(a48)),a48)+P5(f37(f50(f47(a48),a1)),f40(f18(x6911,x6912,x6913,a48),f37(f50(f47(a48),a1)),f47(a48)),a48)+~P5(f37(f50(f47(a48),a1)),f40(f33(a19,x6912),f37(f50(f47(a48),a1)),f47(a48)),a48)
% 4.95/5.01 [493]~P5(x4931,x4934,x4933)+P5(x4931,x4932,x4933)+~P5(x4934,x4932,x4933)
% 4.95/5.01 [477]~P9(x4773,x4771,f50(x4774,a1))+P22(f33(x4771,x4772))+~P22(f33(x4773,x4772))
% 4.95/5.01 [503]~P15(x5034)+~P9(x5031,x5033,x5034)+P9(x5031,f16(x5032,x5033,x5034),x5034)
% 4.95/5.01 [504]~P15(x5044)+~P9(x5041,x5042,x5044)+P9(x5041,f16(x5042,x5043,x5044),x5044)
% 4.95/5.01 [505]~P16(x5053)+~P9(x5052,x5054,x5053)+P9(f17(x5051,x5052,x5053),x5054,x5053)
% 4.95/5.01 [506]~P16(x5063)+~P9(x5061,x5064,x5063)+P9(f17(x5061,x5062,x5063),x5064,x5063)
% 4.95/5.01 [518]~P16(x5183)+P9(x5181,x5182,x5183)+~P9(x5181,f17(x5184,x5182,x5183),x5183)
% 4.95/5.01 [520]~P16(x5203)+P9(x5201,x5202,x5203)+~P9(x5201,f17(x5202,x5204,x5203),x5203)
% 4.95/5.01 [522]~P15(x5223)+P9(x5221,x5222,x5223)+~P9(f16(x5224,x5221,x5223),x5222,x5223)
% 4.95/5.01 [524]~P15(x5243)+P9(x5241,x5242,x5243)+~P9(f16(x5241,x5244,x5243),x5242,x5243)
% 4.95/5.01 [525]~P9(x5251,x5254,f50(x5253,a1))+~P9(x5254,x5252,f50(x5253,a1))+P9(x5251,x5252,f50(x5253,a1))
% 4.95/5.01 [559]~P9(x5594,x5592,f50(x5593,a1))+P22(f42(x5591,x5592,x5593))+~P22(f42(x5591,x5594,x5593))
% 4.95/5.01 [581]~P9(x5812,f40(x5811,x5814,x5813),f50(x5813,a1))+P9(x5812,x5814,f50(x5813,a1))+P22(f42(x5811,x5812,x5813))
% 4.95/5.01 [582]~P9(x5822,x5824,f50(x5823,a1))+P9(f40(x5821,x5822,x5823),x5824,f50(x5823,a1))+~P22(f42(x5821,x5824,x5823))
% 4.95/5.01 [657]P4(x6571,x6572)+~P6(x6573,x6571,x6572,x6574)+~P4(f41(x6573,x6571,x6572,x6574),x6574)
% 4.95/5.01 [513]P5(x5131,x5132,x5133)+~P5(x5134,x5132,x5133)+~P9(x5134,x5131,f50(f47(x5133),a1))
% 4.95/5.01 [514]P5(x5141,x5142,x5143)+~P5(x5141,x5144,x5143)+~P9(x5142,x5144,f50(f47(x5143),a1))
% 4.95/5.01 [562]E(x5621,x5622)+P22(f33(x5623,x5621))+~P22(f33(f40(x5622,x5623,x5624),x5621))
% 4.95/5.01 [577]~P9(x5771,x5772,f50(x5774,a1))+~P9(x5771,x5773,f50(x5774,a1))+P9(x5771,f17(x5772,x5773,f50(x5774,a1)),f50(x5774,a1))
% 4.95/5.01 [579]~P9(x5791,x5794,f50(x5793,a1))+~P9(x5792,x5794,f50(x5793,a1))+P9(f16(x5791,x5792,f50(x5793,a1)),x5794,f50(x5793,a1))
% 4.95/5.01 [586]~P22(f42(x5864,x5862,x5863))+~P22(f42(x5864,x5861,x5863))+~E(f17(x5861,x5862,f50(x5863,a1)),f37(f50(x5863,a1)))
% 4.95/5.01 [606]E(x6061,x6062)+P22(f42(x6061,x6063,x6064))+~P22(f42(x6061,f40(x6062,x6063,x6064),x6064))
% 4.95/5.01 [618]~P5(x6181,x6183,x6184)+P5(x6181,f40(x6182,x6183,f47(x6184)),x6184)+~P5(x6181,f40(x6182,f37(f50(f47(x6184),a1)),f47(x6184)),x6184)
% 4.95/5.01 [536]E(x5361,x5362)+~P22(f33(f33(f27(x5363),x5364),x5362))+~P22(f33(f33(f27(x5363),x5364),x5361))
% 4.95/5.01 [565]~P22(f33(x5652,x5654))+~P22(f33(x5651,x5654))+P22(f33(f17(x5651,x5652,f50(x5653,a1)),x5654))
% 4.95/5.01 [599]P22(f33(x5991,x5992))+P22(f33(x5993,x5992))+~P22(f33(f16(x5991,x5993,f50(x5994,a1)),x5992))
% 4.95/5.01 [617]~P22(f42(x6171,x6173,x6174))+~P22(f42(x6171,x6172,x6174))+P22(f42(x6171,f17(x6172,x6173,f50(x6174,a1)),x6174))
% 4.95/5.01 [639]P22(f42(x6391,x6392,x6393))+P22(f42(x6391,x6394,x6393))+~P22(f42(x6391,f16(x6392,x6394,f50(x6393,a1)),x6393))
% 4.95/5.01 [588]E(x5881,x5882)+P22(f33(x5883,x5881))+~P22(f33(f33(f27(f24(x5883,x5884)),x5881),x5882))
% 4.95/5.01 [500]~P12(x5004)+P9(f33(x5001,x5002),f33(x5003,x5002),x5004)+~P9(x5001,x5003,f50(x5005,x5004))
% 4.95/5.01 [613]P6(x6131,x6132,x6133,x6134)+~P6(x6131,x6135,x6133,x6134)+~P9(x6132,x6135,f50(x6133,a1))
% 4.95/5.01 [644]P4(x6441,x6442)+~P4(x6443,x6444)+~P9(x6441,f41(x6445,x6443,x6444,x6442),f50(x6442,a1))
% 4.95/5.01 [587]E(x5871,x5872)+~E(f33(x5873,x5871),f33(x5873,x5872))+~P6(x5873,f39(f50(x5874,a1)),x5874,x5875)
% 4.95/5.01 [595]~E(f33(x5952,x5955),f14(x5954))+~E(f33(x5951,x5955),f14(x5954))+E(f33(f29(x5951,x5952,x5953,x5954),x5955),f14(x5954))
% 4.95/5.01 [607]~P9(x6071,x6074,f50(x6073,a1))+~P9(x6072,x6075,f50(x6073,a1))+P9(f16(x6071,x6072,f50(x6073,a1)),f16(x6074,x6075,f50(x6073,a1)),f50(x6073,a1))
% 4.95/5.01 [608]~P9(x6081,x6084,f50(x6083,a1))+~P9(x6082,x6085,f50(x6083,a1))+P9(f17(x6081,x6082,f50(x6083,a1)),f17(x6084,x6085,f50(x6083,a1)),f50(x6083,a1))
% 4.95/5.01 [659]E(x6591,x6592)+~E(f41(x6593,x6591,x6594,x6595),f41(x6593,x6592,x6594,x6595))+~P6(x6593,f39(f50(x6594,a1)),x6594,x6595)
% 4.95/5.01 [665]E(x6651,x6652)+~E(f41(x6653,x6651,x6654,x6655),f41(x6653,x6652,x6654,x6655))+~P6(x6653,f16(x6651,x6652,f50(x6654,a1)),x6654,x6655)
% 4.95/5.01 [679]~P9(f41(x6794,x6791,x6793,x6795),f41(x6794,x6792,x6793,x6795),f50(x6795,a1))+P9(x6791,x6792,f50(x6793,a1))+~P6(x6794,f39(f50(x6793,a1)),x6793,x6795)
% 4.95/5.01 [680]~P6(x6804,f39(f50(x6803,a1)),x6803,x6805)+P22(f42(x6801,x6802,x6803))+~P22(f42(f33(x6804,x6801),f41(x6804,x6802,x6803,x6805),x6805))
% 4.95/5.01 [610]~P22(f33(f33(f27(x6101),x6103),x6105))+~P22(f33(f33(f27(x6102),x6105),x6104))+P22(f33(f33(f27(f23(x6101,x6102)),x6103),x6104))
% 4.95/5.01 [630]E(x6301,x6302)+E(x6301,x6303)+~E(f40(x6304,f40(x6301,f37(f50(x6305,a1)),x6305),x6305),f40(x6303,f40(x6302,f37(f50(x6305,a1)),x6305),x6305))
% 4.95/5.01 [631]E(x6311,x6312)+E(x6313,x6312)+~E(f40(x6313,f40(x6311,f37(f50(x6314,a1)),x6314),x6314),f40(x6315,f40(x6312,f37(f50(x6314,a1)),x6314),x6314))
% 4.95/5.01 [632]E(x6321,x6322)+E(x6323,x6322)+~E(f40(x6323,f40(x6321,f37(f50(x6324,a1)),x6324),x6324),f40(x6322,f40(x6325,f37(f50(x6324,a1)),x6324),x6324))
% 4.95/5.01 [633]E(x6331,x6332)+E(x6331,x6333)+~E(f40(x6331,f40(x6334,f37(f50(x6335,a1)),x6335),x6335),f40(x6333,f40(x6332,f37(f50(x6335,a1)),x6335),x6335))
% 4.95/5.01 [651]P22(f33(x6511,x6512))+~P22(f33(f33(f27(x6514),x6512),x6515))+P22(f33(f33(f27(f10(x6511,x6513,x6514)),x6512),x6515))
% 4.95/5.01 [653]~P22(f33(x6531,x6534))+~P22(f33(f33(f27(x6532),x6534),x6535))+P22(f33(f33(f27(f10(x6531,x6532,x6533)),x6534),x6535))
% 4.95/5.01 [669]P22(f33(x6691,x6692))+P22(f33(f33(f27(x6693),x6692),x6694))+~P22(f33(f33(f27(f10(x6691,x6695,x6693)),x6692),x6694))
% 4.95/5.01 [671]~P22(f33(x6714,x6712))+P22(f33(f33(f27(x6711),x6712),x6713))+~P22(f33(f33(f27(f10(x6714,x6711,x6715)),x6712),x6713))
% 4.95/5.01 [673]P22(f33(f33(f27(x6731),x6732),x6733))+P22(f33(f33(f27(x6734),x6732),x6733))+~P22(f33(f33(f27(f10(x6735,x6731,x6734)),x6732),x6733))
% 4.95/5.01 [605]~E(f33(x6052,x6055),f14(x6054))+E(f33(f29(x6051,x6052,x6053,x6054),x6055),f33(f13(x6054),x6056))+~E(f33(x6051,x6055),f33(f13(x6054),x6056))
% 4.95/5.01 [640]E(f33(x6401,x6402),f14(x6403))+~E(f33(f29(x6405,x6401,x6406,x6403),x6402),f33(f13(x6403),x6404))+E(f33(x6401,x6402),f33(f13(x6403),x6404))
% 4.95/5.01 [641]~E(f33(f29(x6415,x6411,x6416,x6413),x6412),f33(f13(x6413),x6414))+E(f33(x6411,x6412),f33(f13(x6413),x6414))+E(f33(x6415,x6412),f33(f13(x6413),x6414))
% 4.95/5.01 [658]~P9(f41(x6581,x6585,x6586,x6584),x6583,f50(x6584,a1))+~P22(f42(x6582,x6585,x6586))+P22(f42(f33(x6581,x6582),x6583,x6584))
% 4.95/5.01 [692]~P6(x6922,x6923,x6924,x6925)+P6(f20(x6922,x6926,x6921,x6924,x6925),x6923,x6924,x6925)+P22(f42(x6921,f41(x6922,x6923,x6924,x6925),x6925))
% 4.95/5.01 [694]~P5(x6941,f40(f18(x6942,x6943,x6947,x6946),f37(f50(f47(x6946),a1)),f47(x6946)),x6946)+P5(x6941,f40(f18(x6942,f23(x6943,x6944),x6945,x6946),f37(f50(f47(x6946),a1)),f47(x6946)),x6946)+~P5(x6941,f40(f18(x6947,x6944,x6945,x6946),f37(f50(f47(x6946),a1)),f47(x6946)),x6946)
% 4.95/5.01 [699]E(f30(x6991,x6992,x6993,x6994,x6995,x6996),f14(x6995))+~E(f33(x6991,x6997),f14(x6995))+~E(f33(x6992,x6993),f33(f13(x6994),x6997))
% 4.95/5.01 [683]E(x6831,x6832)+~E(f33(x6833,x6831),f33(f13(x6834),x6837))+E(f33(f20(x6833,x6832,f33(f13(x6834),x6835),x6836,f45(x6834)),x6831),f33(f13(x6834),x6837))
% 4.95/5.01 [689]E(x6891,x6892)+E(f33(x6893,x6894),f33(f13(x6895),x6892))+~E(f33(f20(x6893,x6896,f33(f13(x6895),x6891),x6897,f45(x6895)),x6894),f33(f13(x6895),x6892))
% 4.95/5.01 [690]E(x6901,x6902)+E(f33(x6903,x6902),f33(f13(x6904),x6905))+~E(f33(f20(x6903,x6901,f33(f13(x6904),x6906),x6907,f45(x6904)),x6902),f33(f13(x6904),x6905))
% 4.95/5.01 [700]E(f30(x7001,x7002,x7003,x7004,x7005,x7006),f33(f13(x7005),x7007))+~E(f33(x7001,x7008),f33(f13(x7005),x7007))+~E(f33(x7002,x7003),f33(f13(x7004),x7008))
% 4.95/5.01 [706]~P9(x7061,f41(f5(a19,f5(f34(a12),a3,f45(a12),a12,a46),a12,f47(a48),a46),f28(a3,a46,a12),a46,f47(a48)),f50(f47(a48),a1))+~P1(a500)+~P2(a500)+P5(f41(f5(a19,a8,a12,f47(a48),a46),f28(a3,a46,a12),a46,f47(a48)),x7061,a48)
% 4.95/5.01 [561]~P3(x5611)+~P1(a500)+~P2(a500)+P5(f37(f50(f47(a48),a1)),f40(f33(a19,x5611),f37(f50(f47(a48),a1)),f47(a48)),a48)
% 4.95/5.01 [612]~P3(x6122)+~P1(a500)+P5(x6121,f40(f33(a19,x6122),f37(f50(f47(a48),a1)),f47(a48)),a48)+P22(f42(f56(x6121),f28(a3,a46,a12),a46))
% 4.95/5.01 [650]~P3(x6502)+~P1(a500)+P5(x6501,f40(f33(a19,x6502),f37(f50(f47(a48),a1)),f47(a48)),a48)+~P5(x6501,f40(f33(a19,f33(a8,f56(x6501))),f37(f50(f47(a48),a1)),f47(a48)),a48)
% 4.95/5.01 [469]~P9(x4692,x4691,x4693)+~P9(x4691,x4692,x4693)+E(x4691,x4692)+~P18(x4693)
% 4.95/5.01 [668]~P4(x6682,x6683)+~P6(x6681,x6682,x6683,x6683)+~P9(f41(x6681,x6682,x6683,x6683),x6682,f50(x6683,a1))+E(f41(x6681,x6682,x6683,x6683),x6682)
% 4.95/5.01 [497]~P18(x4973)+~P9(x4971,x4974,x4973)+P9(x4971,x4972,x4973)+~P9(x4974,x4972,x4973)
% 4.95/5.01 [498]~P21(x4983)+~P9(x4981,x4984,x4983)+P9(x4981,x4982,x4983)+~P9(x4984,x4982,x4983)
% 4.95/5.01 [539]~P16(x5394)+~P9(x5391,x5393,x5394)+~P9(x5391,x5392,x5394)+P9(x5391,f17(x5392,x5393,x5394),x5394)
% 4.95/5.01 [542]~P15(x5423)+~P9(x5422,x5424,x5423)+~P9(x5421,x5424,x5423)+P9(f16(x5421,x5422,x5423),x5424,x5423)
% 4.95/5.01 [553]E(x5531,x5532)+~E(f40(x5533,x5531,x5534),f40(x5533,x5532,x5534))+P22(f42(x5533,x5531,x5534))+P22(f42(x5533,x5532,x5534))
% 4.95/5.01 [647]~P22(f33(x6471,x6473))+~P22(f33(f33(f27(x6472),x6473),x6475))+~P22(f33(f33(f27(f24(x6471,x6472)),x6475),x6474))+P22(f33(f33(f27(f24(x6471,x6472)),x6473),x6474))
% 4.95/5.01 [678]~P6(x6781,x6786,x6783,x6784)+~P9(x6782,x6786,f50(x6783,a1))+~P9(x6785,x6786,f50(x6783,a1))+E(f17(f41(x6781,x6782,x6783,x6784),f41(x6781,x6785,x6783,x6784),f50(x6784,a1)),f41(x6781,f17(x6782,x6785,f50(x6783,a1)),x6783,x6784))
% 4.95/5.01 [625]E(x6251,x6252)+~P6(x6253,x6254,x6255,x6256)+~E(f33(x6253,x6251),f33(x6253,x6252))+~P22(f42(x6252,x6254,x6255))+~P22(f42(x6251,x6254,x6255))
% 4.95/5.01 %EqnAxiom
% 4.95/5.01 [1]E(x11,x11)
% 4.95/5.01 [2]E(x22,x21)+~E(x21,x22)
% 4.95/5.01 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 4.95/5.01 [4]~E(x41,x42)+E(f13(x41),f13(x42))
% 4.95/5.01 [5]~E(x51,x52)+E(f33(x51,x53),f33(x52,x53))
% 4.95/5.01 [6]~E(x61,x62)+E(f33(x63,x61),f33(x63,x62))
% 4.95/5.01 [7]~E(x71,x72)+E(f5(x71,x73,x74,x75,x76),f5(x72,x73,x74,x75,x76))
% 4.95/5.01 [8]~E(x81,x82)+E(f5(x83,x81,x84,x85,x86),f5(x83,x82,x84,x85,x86))
% 4.95/5.01 [9]~E(x91,x92)+E(f5(x93,x94,x91,x95,x96),f5(x93,x94,x92,x95,x96))
% 4.95/5.01 [10]~E(x101,x102)+E(f5(x103,x104,x105,x101,x106),f5(x103,x104,x105,x102,x106))
% 4.95/5.01 [11]~E(x111,x112)+E(f5(x113,x114,x115,x116,x111),f5(x113,x114,x115,x116,x112))
% 4.95/5.01 [12]~E(x121,x122)+E(f7(x121,x123),f7(x122,x123))
% 4.95/5.01 [13]~E(x131,x132)+E(f7(x133,x131),f7(x133,x132))
% 4.95/5.01 [14]~E(x141,x142)+E(f14(x141),f14(x142))
% 4.95/5.01 [15]~E(x151,x152)+E(f15(x151,x153),f15(x152,x153))
% 4.95/5.01 [16]~E(x161,x162)+E(f15(x163,x161),f15(x163,x162))
% 4.95/5.01 [17]~E(x171,x172)+E(f34(x171),f34(x172))
% 4.95/5.01 [18]~E(x181,x182)+E(f41(x181,x183,x184,x185),f41(x182,x183,x184,x185))
% 4.95/5.01 [19]~E(x191,x192)+E(f41(x193,x191,x194,x195),f41(x193,x192,x194,x195))
% 4.95/5.01 [20]~E(x201,x202)+E(f41(x203,x204,x201,x205),f41(x203,x204,x202,x205))
% 4.95/5.01 [21]~E(x211,x212)+E(f41(x213,x214,x215,x211),f41(x213,x214,x215,x212))
% 4.95/5.01 [22]~E(x221,x222)+E(f50(x221,x223),f50(x222,x223))
% 4.95/5.01 [23]~E(x231,x232)+E(f50(x233,x231),f50(x233,x232))
% 4.95/5.01 [24]~E(x241,x242)+E(f30(x241,x243,x244,x245,x246,x247),f30(x242,x243,x244,x245,x246,x247))
% 4.95/5.01 [25]~E(x251,x252)+E(f30(x253,x251,x254,x255,x256,x257),f30(x253,x252,x254,x255,x256,x257))
% 4.95/5.01 [26]~E(x261,x262)+E(f30(x263,x264,x261,x265,x266,x267),f30(x263,x264,x262,x265,x266,x267))
% 4.95/5.01 [27]~E(x271,x272)+E(f30(x273,x274,x275,x271,x276,x277),f30(x273,x274,x275,x272,x276,x277))
% 4.95/5.01 [28]~E(x281,x282)+E(f30(x283,x284,x285,x286,x281,x287),f30(x283,x284,x285,x286,x282,x287))
% 4.95/5.01 [29]~E(x291,x292)+E(f30(x293,x294,x295,x296,x297,x291),f30(x293,x294,x295,x296,x297,x292))
% 4.95/5.01 [30]~E(x301,x302)+E(f16(x301,x303,x304),f16(x302,x303,x304))
% 4.95/5.01 [31]~E(x311,x312)+E(f16(x313,x311,x314),f16(x313,x312,x314))
% 4.95/5.01 [32]~E(x321,x322)+E(f16(x323,x324,x321),f16(x323,x324,x322))
% 4.95/5.01 [33]~E(x331,x332)+E(f37(x331),f37(x332))
% 4.95/5.01 [34]~E(x341,x342)+E(f45(x341),f45(x342))
% 4.95/5.01 [35]~E(x351,x352)+E(f38(x351),f38(x352))
% 4.95/5.01 [36]~E(x361,x362)+E(f39(x361),f39(x362))
% 4.95/5.01 [37]~E(x371,x372)+E(f31(x371,x373,x374,x375),f31(x372,x373,x374,x375))
% 4.95/5.01 [38]~E(x381,x382)+E(f31(x383,x381,x384,x385),f31(x383,x382,x384,x385))
% 4.95/5.01 [39]~E(x391,x392)+E(f31(x393,x394,x391,x395),f31(x393,x394,x392,x395))
% 4.95/5.01 [40]~E(x401,x402)+E(f31(x403,x404,x405,x401),f31(x403,x404,x405,x402))
% 4.95/5.01 [41]~E(x411,x412)+E(f42(x411,x413,x414),f42(x412,x413,x414))
% 4.95/5.01 [42]~E(x421,x422)+E(f42(x423,x421,x424),f42(x423,x422,x424))
% 4.95/5.01 [43]~E(x431,x432)+E(f42(x433,x434,x431),f42(x433,x434,x432))
% 4.95/5.01 [44]~E(x441,x442)+E(f40(x441,x443,x444),f40(x442,x443,x444))
% 4.95/5.01 [45]~E(x451,x452)+E(f40(x453,x451,x454),f40(x453,x452,x454))
% 4.95/5.01 [46]~E(x461,x462)+E(f40(x463,x464,x461),f40(x463,x464,x462))
% 4.95/5.01 [47]~E(x471,x472)+E(f28(x471,x473,x474),f28(x472,x473,x474))
% 4.95/5.01 [48]~E(x481,x482)+E(f28(x483,x481,x484),f28(x483,x482,x484))
% 4.95/5.01 [49]~E(x491,x492)+E(f28(x493,x494,x491),f28(x493,x494,x492))
% 4.95/5.01 [50]~E(x501,x502)+E(f29(x501,x503,x504,x505),f29(x502,x503,x504,x505))
% 4.95/5.01 [51]~E(x511,x512)+E(f29(x513,x511,x514,x515),f29(x513,x512,x514,x515))
% 4.95/5.01 [52]~E(x521,x522)+E(f29(x523,x524,x521,x525),f29(x523,x524,x522,x525))
% 4.95/5.01 [53]~E(x531,x532)+E(f29(x533,x534,x535,x531),f29(x533,x534,x535,x532))
% 4.95/5.01 [54]~E(x541,x542)+E(f17(x541,x543,x544),f17(x542,x543,x544))
% 4.95/5.01 [55]~E(x551,x552)+E(f17(x553,x551,x554),f17(x553,x552,x554))
% 4.95/5.01 [56]~E(x561,x562)+E(f17(x563,x564,x561),f17(x563,x564,x562))
% 4.95/5.01 [57]~E(x571,x572)+E(f11(x571,x573,x574),f11(x572,x573,x574))
% 4.95/5.01 [58]~E(x581,x582)+E(f11(x583,x581,x584),f11(x583,x582,x584))
% 4.95/5.01 [59]~E(x591,x592)+E(f11(x593,x594,x591),f11(x593,x594,x592))
% 4.95/5.01 [60]~E(x601,x602)+E(f47(x601),f47(x602))
% 4.95/5.01 [61]~E(x611,x612)+E(f21(x611,x613,x614,x615,x616,x617,x618,x619,x6110,x6111),f21(x612,x613,x614,x615,x616,x617,x618,x619,x6110,x6111))
% 4.95/5.01 [62]~E(x621,x622)+E(f21(x623,x621,x624,x625,x626,x627,x628,x629,x6210,x6211),f21(x623,x622,x624,x625,x626,x627,x628,x629,x6210,x6211))
% 4.95/5.01 [63]~E(x631,x632)+E(f21(x633,x634,x631,x635,x636,x637,x638,x639,x6310,x6311),f21(x633,x634,x632,x635,x636,x637,x638,x639,x6310,x6311))
% 4.95/5.01 [64]~E(x641,x642)+E(f21(x643,x644,x645,x641,x646,x647,x648,x649,x6410,x6411),f21(x643,x644,x645,x642,x646,x647,x648,x649,x6410,x6411))
% 4.95/5.01 [65]~E(x651,x652)+E(f21(x653,x654,x655,x656,x651,x657,x658,x659,x6510,x6511),f21(x653,x654,x655,x656,x652,x657,x658,x659,x6510,x6511))
% 4.95/5.01 [66]~E(x661,x662)+E(f21(x663,x664,x665,x666,x667,x661,x668,x669,x6610,x6611),f21(x663,x664,x665,x666,x667,x662,x668,x669,x6610,x6611))
% 4.95/5.01 [67]~E(x671,x672)+E(f21(x673,x674,x675,x676,x677,x678,x671,x679,x6710,x6711),f21(x673,x674,x675,x676,x677,x678,x672,x679,x6710,x6711))
% 4.95/5.01 [68]~E(x681,x682)+E(f21(x683,x684,x685,x686,x687,x688,x689,x681,x6810,x6811),f21(x683,x684,x685,x686,x687,x688,x689,x682,x6810,x6811))
% 4.95/5.01 [69]~E(x691,x692)+E(f21(x693,x694,x695,x696,x697,x698,x699,x6910,x691,x6911),f21(x693,x694,x695,x696,x697,x698,x699,x6910,x692,x6911))
% 4.95/5.01 [70]~E(x701,x702)+E(f21(x703,x704,x705,x706,x707,x708,x709,x7010,x7011,x701),f21(x703,x704,x705,x706,x707,x708,x709,x7010,x7011,x702))
% 4.95/5.01 [71]~E(x711,x712)+E(f27(x711),f27(x712))
% 4.95/5.01 [72]~E(x721,x722)+E(f9(x721,x723,x724),f9(x722,x723,x724))
% 4.95/5.01 [73]~E(x731,x732)+E(f9(x733,x731,x734),f9(x733,x732,x734))
% 4.95/5.01 [74]~E(x741,x742)+E(f9(x743,x744,x741),f9(x743,x744,x742))
% 4.95/5.01 [75]~E(x751,x752)+E(f10(x751,x753,x754),f10(x752,x753,x754))
% 4.95/5.01 [76]~E(x761,x762)+E(f10(x763,x761,x764),f10(x763,x762,x764))
% 4.95/5.01 [77]~E(x771,x772)+E(f10(x773,x774,x771),f10(x773,x774,x772))
% 4.95/5.01 [78]~E(x781,x782)+E(f23(x781,x783),f23(x782,x783))
% 4.95/5.01 [79]~E(x791,x792)+E(f23(x793,x791),f23(x793,x792))
% 4.95/5.01 [80]~E(x801,x802)+E(f20(x801,x803,x804,x805,x806),f20(x802,x803,x804,x805,x806))
% 4.95/5.01 [81]~E(x811,x812)+E(f20(x813,x811,x814,x815,x816),f20(x813,x812,x814,x815,x816))
% 4.95/5.01 [82]~E(x821,x822)+E(f20(x823,x824,x821,x825,x826),f20(x823,x824,x822,x825,x826))
% 4.95/5.01 [83]~E(x831,x832)+E(f20(x833,x834,x835,x831,x836),f20(x833,x834,x835,x832,x836))
% 4.95/5.01 [84]~E(x841,x842)+E(f20(x843,x844,x845,x846,x841),f20(x843,x844,x845,x846,x842))
% 4.95/5.01 [85]~E(x851,x852)+E(f24(x851,x853),f24(x852,x853))
% 4.95/5.01 [86]~E(x861,x862)+E(f24(x863,x861),f24(x863,x862))
% 4.95/5.01 [87]~E(x871,x872)+E(f4(x871,x873,x874),f4(x872,x873,x874))
% 4.95/5.01 [88]~E(x881,x882)+E(f4(x883,x881,x884),f4(x883,x882,x884))
% 4.95/5.01 [89]~E(x891,x892)+E(f4(x893,x894,x891),f4(x893,x894,x892))
% 4.95/5.01 [90]~E(x901,x902)+E(f18(x901,x903,x904,x905),f18(x902,x903,x904,x905))
% 4.95/5.01 [91]~E(x911,x912)+E(f18(x913,x911,x914,x915),f18(x913,x912,x914,x915))
% 4.95/5.01 [92]~E(x921,x922)+E(f18(x923,x924,x921,x925),f18(x923,x924,x922,x925))
% 4.95/5.01 [93]~E(x931,x932)+E(f18(x933,x934,x935,x931),f18(x933,x934,x935,x932))
% 4.95/5.01 [94]~E(x941,x942)+E(f22(x941,x943,x944,x945,x946,x947,x948,x949,x9410,x9411),f22(x942,x943,x944,x945,x946,x947,x948,x949,x9410,x9411))
% 4.95/5.01 [95]~E(x951,x952)+E(f22(x953,x951,x954,x955,x956,x957,x958,x959,x9510,x9511),f22(x953,x952,x954,x955,x956,x957,x958,x959,x9510,x9511))
% 4.95/5.01 [96]~E(x961,x962)+E(f22(x963,x964,x961,x965,x966,x967,x968,x969,x9610,x9611),f22(x963,x964,x962,x965,x966,x967,x968,x969,x9610,x9611))
% 4.95/5.01 [97]~E(x971,x972)+E(f22(x973,x974,x975,x971,x976,x977,x978,x979,x9710,x9711),f22(x973,x974,x975,x972,x976,x977,x978,x979,x9710,x9711))
% 4.95/5.01 [98]~E(x981,x982)+E(f22(x983,x984,x985,x986,x981,x987,x988,x989,x9810,x9811),f22(x983,x984,x985,x986,x982,x987,x988,x989,x9810,x9811))
% 4.95/5.01 [99]~E(x991,x992)+E(f22(x993,x994,x995,x996,x997,x991,x998,x999,x9910,x9911),f22(x993,x994,x995,x996,x997,x992,x998,x999,x9910,x9911))
% 4.95/5.01 [100]~E(x1001,x1002)+E(f22(x1003,x1004,x1005,x1006,x1007,x1008,x1001,x1009,x10010,x10011),f22(x1003,x1004,x1005,x1006,x1007,x1008,x1002,x1009,x10010,x10011))
% 4.95/5.01 [101]~E(x1011,x1012)+E(f22(x1013,x1014,x1015,x1016,x1017,x1018,x1019,x1011,x10110,x10111),f22(x1013,x1014,x1015,x1016,x1017,x1018,x1019,x1012,x10110,x10111))
% 4.95/5.01 [102]~E(x1021,x1022)+E(f22(x1023,x1024,x1025,x1026,x1027,x1028,x1029,x10210,x1021,x10211),f22(x1023,x1024,x1025,x1026,x1027,x1028,x1029,x10210,x1022,x10211))
% 4.95/5.01 [103]~E(x1031,x1032)+E(f22(x1033,x1034,x1035,x1036,x1037,x1038,x1039,x10310,x10311,x1031),f22(x1033,x1034,x1035,x1036,x1037,x1038,x1039,x10310,x10311,x1032))
% 4.95/5.01 [104]~E(x1041,x1042)+E(f25(x1041,x1043),f25(x1042,x1043))
% 4.95/5.01 [105]~E(x1051,x1052)+E(f25(x1053,x1051),f25(x1053,x1052))
% 4.95/5.01 [106]~E(x1061,x1062)+E(f35(x1061,x1063,x1064,x1065,x1066),f35(x1062,x1063,x1064,x1065,x1066))
% 4.95/5.01 [107]~E(x1071,x1072)+E(f35(x1073,x1071,x1074,x1075,x1076),f35(x1073,x1072,x1074,x1075,x1076))
% 4.95/5.01 [108]~E(x1081,x1082)+E(f35(x1083,x1084,x1081,x1085,x1086),f35(x1083,x1084,x1082,x1085,x1086))
% 4.95/5.01 [109]~E(x1091,x1092)+E(f35(x1093,x1094,x1095,x1091,x1096),f35(x1093,x1094,x1095,x1092,x1096))
% 4.95/5.01 [110]~E(x1101,x1102)+E(f35(x1103,x1104,x1105,x1106,x1101),f35(x1103,x1104,x1105,x1106,x1102))
% 4.95/5.01 [111]~E(x1111,x1112)+E(f56(x1111),f56(x1112))
% 4.95/5.01 [112]~E(x1121,x1122)+E(f36(x1121,x1123,x1124,x1125,x1126),f36(x1122,x1123,x1124,x1125,x1126))
% 4.95/5.01 [113]~E(x1131,x1132)+E(f36(x1133,x1131,x1134,x1135,x1136),f36(x1133,x1132,x1134,x1135,x1136))
% 4.95/5.01 [114]~E(x1141,x1142)+E(f36(x1143,x1144,x1141,x1145,x1146),f36(x1143,x1144,x1142,x1145,x1146))
% 4.95/5.01 [115]~E(x1151,x1152)+E(f36(x1153,x1154,x1155,x1151,x1156),f36(x1153,x1154,x1155,x1152,x1156))
% 4.95/5.01 [116]~E(x1161,x1162)+E(f36(x1163,x1164,x1165,x1166,x1161),f36(x1163,x1164,x1165,x1166,x1162))
% 4.95/5.01 [117]~E(x1171,x1172)+E(f6(x1171,x1173,x1174),f6(x1172,x1173,x1174))
% 4.95/5.01 [118]~E(x1181,x1182)+E(f6(x1183,x1181,x1184),f6(x1183,x1182,x1184))
% 4.95/5.01 [119]~E(x1191,x1192)+E(f6(x1193,x1194,x1191),f6(x1193,x1194,x1192))
% 4.95/5.01 [120]~E(x1201,x1202)+E(f55(x1201),f55(x1202))
% 4.95/5.01 [121]~E(x1211,x1212)+E(f26(x1211),f26(x1212))
% 4.95/5.01 [122]~E(x1221,x1222)+E(f32(x1221,x1223,x1224,x1225),f32(x1222,x1223,x1224,x1225))
% 4.95/5.01 [123]~E(x1231,x1232)+E(f32(x1233,x1231,x1234,x1235),f32(x1233,x1232,x1234,x1235))
% 4.95/5.01 [124]~E(x1241,x1242)+E(f32(x1243,x1244,x1241,x1245),f32(x1243,x1244,x1242,x1245))
% 4.95/5.01 [125]~E(x1251,x1252)+E(f32(x1253,x1254,x1255,x1251),f32(x1253,x1254,x1255,x1252))
% 4.95/5.01 [126]~P1(x1261)+P1(x1262)+~E(x1261,x1262)
% 4.95/5.01 [127]~P2(x1271)+P2(x1272)+~E(x1271,x1272)
% 4.95/5.01 [128]~P8(x1281)+P8(x1282)+~E(x1281,x1282)
% 4.95/5.01 [129]~P10(x1291)+P10(x1292)+~E(x1291,x1292)
% 4.95/5.01 [130]~P13(x1301)+P13(x1302)+~E(x1301,x1302)
% 4.95/5.01 [131]P6(x1312,x1313,x1314,x1315)+~E(x1311,x1312)+~P6(x1311,x1313,x1314,x1315)
% 4.95/5.01 [132]P6(x1323,x1322,x1324,x1325)+~E(x1321,x1322)+~P6(x1323,x1321,x1324,x1325)
% 4.95/5.01 [133]P6(x1333,x1334,x1332,x1335)+~E(x1331,x1332)+~P6(x1333,x1334,x1331,x1335)
% 4.95/5.01 [134]P6(x1343,x1344,x1345,x1342)+~E(x1341,x1342)+~P6(x1343,x1344,x1345,x1341)
% 4.95/5.01 [135]~P14(x1351)+P14(x1352)+~E(x1351,x1352)
% 4.95/5.01 [136]P9(x1362,x1363,x1364)+~E(x1361,x1362)+~P9(x1361,x1363,x1364)
% 4.95/5.01 [137]P9(x1373,x1372,x1374)+~E(x1371,x1372)+~P9(x1373,x1371,x1374)
% 4.95/5.01 [138]P9(x1383,x1384,x1382)+~E(x1381,x1382)+~P9(x1383,x1384,x1381)
% 4.95/5.01 [139]~P15(x1391)+P15(x1392)+~E(x1391,x1392)
% 4.95/5.01 [140]~P22(x1401)+P22(x1402)+~E(x1401,x1402)
% 4.95/5.01 [141]~P16(x1411)+P16(x1412)+~E(x1411,x1412)
% 4.95/5.01 [142]P5(x1422,x1423,x1424)+~E(x1421,x1422)+~P5(x1421,x1423,x1424)
% 4.95/5.01 [143]P5(x1433,x1432,x1434)+~E(x1431,x1432)+~P5(x1433,x1431,x1434)
% 4.95/5.01 [144]P5(x1443,x1444,x1442)+~E(x1441,x1442)+~P5(x1443,x1444,x1441)
% 4.95/5.01 [145]~P17(x1451)+P17(x1452)+~E(x1451,x1452)
% 4.95/5.01 [146]~P18(x1461)+P18(x1462)+~E(x1461,x1462)
% 4.95/5.01 [147]P4(x1472,x1473)+~E(x1471,x1472)+~P4(x1471,x1473)
% 4.95/5.01 [148]P4(x1483,x1482)+~E(x1481,x1482)+~P4(x1483,x1481)
% 4.95/5.01 [149]~P11(x1491)+P11(x1492)+~E(x1491,x1492)
% 4.95/5.01 [150]~P12(x1501)+P12(x1502)+~E(x1501,x1502)
% 4.95/5.01 [151]~P19(x1511)+P19(x1512)+~E(x1511,x1512)
% 4.95/5.01 [152]~P21(x1521)+P21(x1522)+~E(x1521,x1522)
% 4.95/5.01 [153]~P3(x1531)+P3(x1532)+~E(x1531,x1532)
% 4.95/5.01 [154]~P20(x1541)+P20(x1542)+~E(x1541,x1542)
% 4.95/5.01 [155]P7(x1552,x1553,x1554)+~E(x1551,x1552)+~P7(x1551,x1553,x1554)
% 4.95/5.01 [156]P7(x1563,x1562,x1564)+~E(x1561,x1562)+~P7(x1563,x1561,x1564)
% 4.95/5.01 [157]P7(x1573,x1574,x1572)+~E(x1571,x1572)+~P7(x1573,x1574,x1571)
% 4.95/5.01
% 4.95/5.01 %-------------------------------------------
% 4.95/5.01 cnf(708,plain,
% 4.95/5.01 (E(f33(a3,a53),f33(f13(a12),a52))),
% 4.95/5.01 inference(scs_inference,[],[183,2])).
% 4.95/5.01 cnf(709,plain,
% 4.95/5.01 (P4(x7091,a1)),
% 4.95/5.01 inference(scs_inference,[],[173,183,2,371])).
% 4.95/5.01 cnf(711,plain,
% 4.95/5.01 (~E(f55(x7111),x7111)),
% 4.95/5.01 inference(scs_inference,[],[158,173,183,2,371,369])).
% 4.95/5.01 cnf(712,plain,
% 4.95/5.01 (P5(x7121,x7121,x7122)),
% 4.95/5.01 inference(scs_inference,[],[158,173,183,190,2,371,369,475])).
% 4.95/5.01 cnf(713,plain,
% 4.95/5.01 (P9(x7131,x7131,f50(x7132,a1))),
% 4.95/5.01 inference(rename_variables,[],[190])).
% 4.95/5.01 cnf(715,plain,
% 4.95/5.01 (P5(f40(x7151,x7152,f47(x7153)),x7152,x7153)),
% 4.95/5.01 inference(scs_inference,[],[158,173,183,190,2,371,369,475,526])).
% 4.95/5.01 cnf(724,plain,
% 4.95/5.01 (P22(f33(f40(x7241,x7242,x7243),x7241))),
% 4.95/5.01 inference(rename_variables,[],[222])).
% 4.95/5.01 cnf(726,plain,
% 4.95/5.01 (P9(x7261,f40(x7262,f16(x7261,x7263,f50(x7264,a1)),x7264),f50(x7264,a1))),
% 4.95/5.01 inference(scs_inference,[],[158,173,183,190,213,222,309,353,2,371,369,475,526,575,554,495,703,573])).
% 4.95/5.01 cnf(727,plain,
% 4.95/5.01 (P9(x7271,f40(x7272,x7271,x7273),f50(x7273,a1))),
% 4.95/5.01 inference(rename_variables,[],[213])).
% 4.95/5.01 cnf(730,plain,
% 4.95/5.01 (P9(x7301,f40(x7302,x7301,x7303),f50(x7303,a1))),
% 4.95/5.01 inference(rename_variables,[],[213])).
% 4.95/5.01 cnf(732,plain,
% 4.95/5.01 (P9(f17(x7321,f17(x7322,x7323,f50(x7324,a1)),f50(x7324,a1)),x7322,f50(x7324,a1))),
% 4.95/5.01 inference(scs_inference,[],[158,173,183,190,213,727,222,220,309,353,2,371,369,475,526,575,554,495,703,573,572,571])).
% 4.95/5.01 cnf(733,plain,
% 4.95/5.01 (P9(f17(x7331,x7332,f50(x7333,a1)),x7332,f50(x7333,a1))),
% 4.95/5.01 inference(rename_variables,[],[220])).
% 4.95/5.01 cnf(735,plain,
% 4.95/5.01 (P9(f17(x7351,f17(x7352,x7353,f50(x7354,a1)),f50(x7354,a1)),x7353,f50(x7354,a1))),
% 4.95/5.01 inference(scs_inference,[],[158,173,183,190,213,727,222,220,733,309,353,2,371,369,475,526,575,554,495,703,573,572,571,570])).
% 4.95/5.01 cnf(736,plain,
% 4.95/5.01 (P9(f17(x7361,x7362,f50(x7363,a1)),x7362,f50(x7363,a1))),
% 4.95/5.01 inference(rename_variables,[],[220])).
% 4.95/5.01 cnf(739,plain,
% 4.95/5.01 (P9(x7391,f40(x7392,x7391,x7393),f50(x7393,a1))),
% 4.95/5.01 inference(rename_variables,[],[213])).
% 4.95/5.01 cnf(745,plain,
% 4.95/5.01 (P22(f42(x7451,f40(x7451,x7452,x7453),x7454))),
% 4.95/5.01 inference(scs_inference,[],[158,173,183,190,213,727,730,222,724,220,733,736,309,353,362,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441])).
% 4.95/5.01 cnf(750,plain,
% 4.95/5.01 (P22(f33(f40(x7501,x7502,x7503),x7501))),
% 4.95/5.01 inference(rename_variables,[],[222])).
% 4.95/5.01 cnf(759,plain,
% 4.95/5.01 (E(f33(f20(x7591,x7592,x7593,x7594,x7595),x7592),x7593)),
% 4.95/5.01 inference(rename_variables,[],[270])).
% 4.95/5.01 cnf(761,plain,
% 4.95/5.01 (~E(f33(f4(f14(x7611),f45(x7611),x7612),x7613),f33(f13(x7611),x7614))),
% 4.95/5.01 inference(scs_inference,[],[158,173,183,190,299,213,727,730,739,270,222,724,220,733,736,309,353,216,362,366,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660])).
% 4.95/5.01 cnf(762,plain,
% 4.95/5.01 (~E(f20(x7621,x7622,f33(f13(x7623),x7624),x7625,f45(x7623)),f4(f14(x7623),f45(x7623),x7625))),
% 4.95/5.01 inference(rename_variables,[],[366])).
% 4.95/5.01 cnf(767,plain,
% 4.95/5.01 (P5(f40(x7671,x7672,f47(x7673)),f40(x7671,f40(x7671,x7672,f47(x7673)),f47(x7673)),x7673)),
% 4.95/5.01 inference(scs_inference,[],[158,173,183,367,190,299,213,727,730,739,270,187,222,724,220,733,736,217,309,203,353,216,362,264,366,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142])).
% 4.95/5.01 cnf(769,plain,
% 4.95/5.01 (E(f21(x7691,x7692,x7693,x7694,x7695,x7696,x7697,x7698,a2,x7699),x7691)),
% 4.95/5.01 inference(rename_variables,[],[282])).
% 4.95/5.01 cnf(773,plain,
% 4.95/5.01 (P9(x7731,f40(x7732,x7731,x7733),f50(x7733,a1))),
% 4.95/5.01 inference(rename_variables,[],[213])).
% 4.95/5.01 cnf(776,plain,
% 4.95/5.01 (P5(f37(f50(f47(a48),a1)),f40(f18(x7761,a2,x7761,a48),f40(f18(x7761,a2,x7761,a48),f37(f50(f47(a48),a1)),f47(a48)),f47(a48)),a48)),
% 4.95/5.01 inference(scs_inference,[],[158,173,183,367,190,282,299,224,213,727,730,739,270,187,222,724,218,220,733,736,217,309,203,353,355,216,362,264,366,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493])).
% 4.95/5.01 cnf(781,plain,
% 4.95/5.01 (P9(x7811,f40(x7812,x7811,x7813),f50(x7813,a1))),
% 4.95/5.01 inference(rename_variables,[],[213])).
% 4.95/5.01 cnf(784,plain,
% 4.95/5.01 (P9(f17(x7841,x7842,f50(x7843,a1)),x7842,f50(x7843,a1))),
% 4.95/5.01 inference(rename_variables,[],[220])).
% 4.95/5.01 cnf(787,plain,
% 4.95/5.01 (P9(x7871,f40(x7872,x7871,x7873),f50(x7873,a1))),
% 4.95/5.01 inference(rename_variables,[],[213])).
% 4.95/5.01 cnf(791,plain,
% 4.95/5.01 (P9(f17(x7911,x7912,f50(x7913,a1)),x7912,f50(x7913,a1))),
% 4.95/5.01 inference(rename_variables,[],[220])).
% 4.95/5.01 cnf(794,plain,
% 4.95/5.01 (P9(x7941,x7941,f50(x7942,a1))),
% 4.95/5.01 inference(rename_variables,[],[190])).
% 4.95/5.01 cnf(797,plain,
% 4.95/5.01 (P22(f33(f40(x7971,x7972,x7973),x7971))),
% 4.95/5.01 inference(rename_variables,[],[222])).
% 4.95/5.01 cnf(801,plain,
% 4.95/5.01 (E(x8011,f35(x8011,x8012,f14(a44),a43,a44))),
% 4.95/5.01 inference(scs_inference,[],[158,159,173,195,183,367,190,713,282,303,299,224,213,727,730,739,773,781,270,187,222,724,750,218,220,733,736,784,197,217,309,203,353,355,216,362,264,366,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493,397,514,513,502,443,644,477,587,562])).
% 4.95/5.01 cnf(804,plain,
% 4.95/5.01 (P22(f42(x8041,f40(x8041,x8042,x8043),x8043))),
% 4.95/5.01 inference(rename_variables,[],[234])).
% 4.95/5.01 cnf(807,plain,
% 4.95/5.01 (P22(f42(x8071,f39(f50(x8072,a1)),x8072))),
% 4.95/5.01 inference(rename_variables,[],[216])).
% 4.95/5.01 cnf(810,plain,
% 4.95/5.01 (~P22(f42(x8101,f37(f50(x8102,a1)),x8102))),
% 4.95/5.01 inference(rename_variables,[],[365])).
% 4.95/5.01 cnf(813,plain,
% 4.95/5.01 (E(f33(f20(x8131,x8132,x8133,x8134,x8135),x8132),x8133)),
% 4.95/5.01 inference(rename_variables,[],[270])).
% 4.95/5.01 cnf(817,plain,
% 4.95/5.01 (P22(f42(x8171,f40(x8171,x8172,x8173),x8173))),
% 4.95/5.01 inference(rename_variables,[],[234])).
% 4.95/5.01 cnf(818,plain,
% 4.95/5.01 (P9(x8181,x8181,f50(x8182,a1))),
% 4.95/5.01 inference(rename_variables,[],[190])).
% 4.95/5.01 cnf(822,plain,
% 4.95/5.01 (E(f33(f20(x8221,x8222,x8223,x8224,x8225),x8222),x8223)),
% 4.95/5.01 inference(rename_variables,[],[270])).
% 4.95/5.01 cnf(826,plain,
% 4.95/5.01 (P7(x8261,f37(f50(f47(f33(f13(a12),a52)),a1)),f33(f13(a12),a52))),
% 4.95/5.01 inference(scs_inference,[],[158,159,160,173,195,183,367,190,713,794,282,303,299,224,213,727,730,739,773,781,270,759,813,196,187,234,804,222,724,750,218,220,733,736,784,197,217,309,203,353,355,216,365,362,264,366,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493,397,514,513,502,443,644,477,587,562,507,559,658,699,582,700,694,431])).
% 4.95/5.01 cnf(830,plain,
% 4.95/5.01 (P9(x8301,x8301,a49)),
% 4.95/5.01 inference(scs_inference,[],[158,159,160,172,173,178,195,183,367,190,713,794,282,303,299,224,213,727,730,739,773,781,270,759,813,196,187,234,804,222,724,750,218,220,733,736,784,197,217,309,203,353,355,216,365,362,264,366,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493,397,514,513,502,443,644,477,587,562,507,559,658,699,582,700,694,431,400,399])).
% 4.95/5.01 cnf(836,plain,
% 4.95/5.01 (P9(f17(x8361,x8362,a1),x8362,a1)),
% 4.95/5.01 inference(scs_inference,[],[158,159,160,163,168,172,173,178,195,183,367,190,713,794,282,303,299,224,213,727,730,739,773,781,270,759,813,196,187,234,804,222,724,750,218,220,733,736,784,197,217,309,203,353,355,216,365,362,264,366,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493,397,514,513,502,443,644,477,587,562,507,559,658,699,582,700,694,431,400,399,451,450,449])).
% 4.95/5.01 cnf(860,plain,
% 4.95/5.01 (P21(f50(x8601,a1))),
% 4.95/5.01 inference(scs_inference,[],[158,159,182,160,163,166,168,170,172,173,176,178,195,183,367,190,713,794,282,303,299,224,213,727,730,739,773,781,270,759,813,196,187,234,804,222,724,750,218,220,733,736,784,197,217,309,203,353,355,216,365,362,264,366,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493,397,514,513,502,443,644,477,587,562,507,559,658,699,582,700,694,431,400,399,451,450,449,448,447,446,445,444,429,405,404,402,401,383,382])).
% 4.95/5.01 cnf(866,plain,
% 4.95/5.01 (P18(f50(x8661,a1))),
% 4.95/5.01 inference(scs_inference,[],[158,159,182,160,163,166,168,170,171,172,173,174,176,178,195,183,367,190,713,794,282,303,299,224,213,727,730,739,773,781,270,759,813,196,187,234,804,222,724,750,218,220,733,736,784,197,217,309,203,353,355,216,365,362,264,366,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493,397,514,513,502,443,644,477,587,562,507,559,658,699,582,700,694,431,400,399,451,450,449,448,447,446,445,444,429,405,404,402,401,383,382,381,380,379])).
% 4.95/5.01 cnf(870,plain,
% 4.95/5.01 (P16(f50(x8701,a1))),
% 4.95/5.01 inference(scs_inference,[],[158,159,182,160,162,163,166,168,170,171,172,173,174,176,178,195,183,367,190,713,794,282,303,299,224,213,727,730,739,773,781,270,759,813,196,187,234,804,222,724,750,218,220,733,736,784,197,217,309,203,353,355,216,365,362,264,366,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493,397,514,513,502,443,644,477,587,562,507,559,658,699,582,700,694,431,400,399,451,450,449,448,447,446,445,444,429,405,404,402,401,383,382,381,380,379,378,377])).
% 4.95/5.01 cnf(872,plain,
% 4.95/5.01 (P15(f50(x8721,a1))),
% 4.95/5.01 inference(scs_inference,[],[158,159,182,160,162,163,166,168,170,171,172,173,174,176,178,195,183,367,190,713,794,282,303,299,224,213,727,730,739,773,781,270,759,813,196,187,234,804,222,724,750,218,220,733,736,784,197,217,309,203,353,355,216,365,362,264,366,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493,397,514,513,502,443,644,477,587,562,507,559,658,699,582,700,694,431,400,399,451,450,449,448,447,446,445,444,429,405,404,402,401,383,382,381,380,379,378,377,376])).
% 4.95/5.01 cnf(878,plain,
% 4.95/5.01 (P10(f50(x8781,a1))),
% 4.95/5.01 inference(scs_inference,[],[158,159,182,160,161,162,163,164,166,168,170,171,172,173,174,176,178,195,183,367,190,713,794,282,303,299,224,213,727,730,739,773,781,270,759,813,196,187,234,804,222,724,750,218,220,733,736,784,197,217,309,203,353,355,216,365,362,264,366,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493,397,514,513,502,443,644,477,587,562,507,559,658,699,582,700,694,431,400,399,451,450,449,448,447,446,445,444,429,405,404,402,401,383,382,381,380,379,378,377,376,375,374,373])).
% 4.95/5.01 cnf(975,plain,
% 4.95/5.01 (E(f45(f33(f13(a12),a52)),f45(f33(a3,a53)))),
% 4.95/5.01 inference(scs_inference,[],[158,159,182,160,161,162,163,164,166,168,170,171,172,173,174,176,178,195,183,367,190,713,794,282,303,299,224,213,727,730,739,773,781,270,759,813,196,187,234,804,222,724,750,218,220,733,736,784,197,217,309,203,353,355,216,365,362,264,366,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493,397,514,513,502,443,644,477,587,562,507,559,658,699,582,700,694,431,400,399,451,450,449,448,447,446,445,444,429,405,404,402,401,383,382,381,380,379,378,377,376,375,374,373,372,370,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34])).
% 4.95/5.01 cnf(987,plain,
% 4.95/5.01 (E(f50(f33(f13(a12),a52),x9871),f50(f33(a3,a53),x9871))),
% 4.95/5.01 inference(scs_inference,[],[158,159,182,160,161,162,163,164,166,168,170,171,172,173,174,176,178,195,183,367,190,713,794,282,303,299,224,213,727,730,739,773,781,270,759,813,196,187,234,804,222,724,750,218,220,733,736,784,197,217,309,203,353,355,216,365,362,264,366,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493,397,514,513,502,443,644,477,587,562,507,559,658,699,582,700,694,431,400,399,451,450,449,448,447,446,445,444,429,405,404,402,401,383,382,381,380,379,378,377,376,375,374,373,372,370,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22])).
% 4.95/5.01 cnf(1008,plain,
% 4.95/5.01 (~E(f20(x10081,x10082,f33(f13(x10083),f23(x10084,x10085)),x10086,f45(x10083)),f20(x10087,x10082,f33(f13(x10083),a2),x10086,f45(x10083)))),
% 4.95/5.01 inference(scs_inference,[],[158,159,182,160,161,162,163,164,166,168,170,171,172,173,174,176,178,195,183,367,190,713,794,282,303,299,224,213,727,730,739,773,781,270,759,813,196,187,234,804,222,724,750,218,220,733,736,784,197,217,309,203,353,355,216,365,362,264,366,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493,397,514,513,502,443,644,477,587,562,507,559,658,699,582,700,694,431,400,399,451,450,449,448,447,446,445,444,429,405,404,402,401,383,382,381,380,379,378,377,376,375,374,373,372,370,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,688,686])).
% 4.95/5.01 cnf(1010,plain,
% 4.95/5.01 (~P22(f42(f23(x10101,x10102),f40(a2,f37(f50(x10103,a1)),x10103),x10103))),
% 4.95/5.01 inference(scs_inference,[],[158,159,182,160,161,162,163,164,166,168,170,171,172,173,174,176,178,195,183,367,190,713,794,282,303,299,224,213,727,730,739,773,781,270,759,813,196,187,234,804,222,724,750,218,220,733,736,784,197,217,309,203,353,355,216,365,362,264,366,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493,397,514,513,502,443,644,477,587,562,507,559,658,699,582,700,694,431,400,399,451,450,449,448,447,446,445,444,429,405,404,402,401,383,382,381,380,379,378,377,376,375,374,373,372,370,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,688,686,634])).
% 4.95/5.01 cnf(1020,plain,
% 4.95/5.01 (~E(f40(f23(x10201,x10202),f37(f50(x10203,a1)),x10203),f40(a2,f37(f50(x10203,a1)),x10203))),
% 4.95/5.01 inference(scs_inference,[],[158,159,182,160,161,162,163,164,166,168,170,171,172,173,174,176,178,195,183,367,190,713,794,282,303,299,224,213,727,730,739,773,781,270,759,813,196,187,234,804,222,724,750,218,220,733,736,784,197,217,309,203,353,355,216,365,362,264,366,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493,397,514,513,502,443,644,477,587,562,507,559,658,699,582,700,694,431,400,399,451,450,449,448,447,446,445,444,429,405,404,402,401,383,382,381,380,379,378,377,376,375,374,373,372,370,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,688,686,634,621,620,619,589,535])).
% 4.95/5.02 cnf(1066,plain,
% 4.95/5.02 (E(f33(f37(f50(a43,a1)),a54),f37(a1))),
% 4.95/5.02 inference(scs_inference,[],[158,159,182,160,161,162,163,164,166,168,170,171,172,173,174,176,178,195,183,367,190,713,794,282,303,299,224,213,727,730,739,773,781,270,759,813,196,187,234,804,222,724,750,218,220,733,736,784,197,217,309,203,353,355,216,365,362,264,366,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493,397,514,513,502,443,644,477,587,562,507,559,658,699,582,700,694,431,400,399,451,450,449,448,447,446,445,444,429,405,404,402,401,383,382,381,380,379,378,377,376,375,374,373,372,370,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,688,686,634,621,620,619,589,535,510,509,471,470,463,462,461,460,459,458,457,456,455,454,453,452,439,432,427,426,425,424,416])).
% 4.95/5.02 cnf(1078,plain,
% 4.95/5.02 (~E(f33(f13(x10781),f23(x10782,x10783)),f33(f13(x10781),a2))),
% 4.95/5.02 inference(scs_inference,[],[158,159,182,160,161,162,163,164,166,168,170,171,172,173,174,176,178,195,183,367,190,713,794,282,303,299,224,213,727,730,739,773,781,270,759,813,196,187,234,804,222,724,750,218,220,733,736,784,197,217,309,203,353,355,216,365,362,264,366,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493,397,514,513,502,443,644,477,587,562,507,559,658,699,582,700,694,431,400,399,451,450,449,448,447,446,445,444,429,405,404,402,401,383,382,381,380,379,378,377,376,375,374,373,372,370,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,688,686,634,621,620,619,589,535,510,509,471,470,463,462,461,460,459,458,457,456,455,454,453,452,439,432,427,426,425,424,416,415,409,408,407,406,403])).
% 4.95/5.02 cnf(1164,plain,
% 4.95/5.02 (~E(f16(x11641,f39(f50(x11642,a1)),f50(x11642,a1)),f37(f50(x11642,a1)))),
% 4.95/5.02 inference(scs_inference,[],[158,159,182,160,161,162,163,164,166,168,170,171,172,173,174,176,178,195,183,367,190,713,794,282,303,299,224,213,727,730,739,773,781,787,270,759,813,196,187,234,804,222,724,750,797,218,220,733,736,784,197,217,309,203,353,355,216,365,362,322,264,366,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493,397,514,513,502,443,644,477,587,562,507,559,658,699,582,700,694,431,400,399,451,450,449,448,447,446,445,444,429,405,404,402,401,383,382,381,380,379,378,377,376,375,374,373,372,370,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,688,686,634,621,620,619,589,535,510,509,471,470,463,462,461,460,459,458,457,456,455,454,453,452,439,432,427,426,425,424,416,415,409,408,407,406,403,393,392,391,390,389,388,384,682,496,492,491,490,489,418,417,413,412,411,410,398,702,592,591,583,551,550,534,533,532,531,530,529,528,527,515,486,482,481,480,479,478,473,472])).
% 4.95/5.02 cnf(1174,plain,
% 4.95/5.02 (~P22(f33(f33(f38(x11741),f23(x11742,x11743)),f6(f33(f13(x11744),a2),f33(f38(x11741),f23(x11742,x11743)),x11744)))),
% 4.95/5.02 inference(scs_inference,[],[158,159,182,160,161,162,163,164,166,168,170,171,172,173,174,176,178,195,183,367,190,713,794,282,303,299,224,213,727,730,739,773,781,787,270,759,813,196,187,234,804,222,724,750,797,218,220,733,736,784,197,217,309,203,353,355,216,365,362,322,264,366,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493,397,514,513,502,443,644,477,587,562,507,559,658,699,582,700,694,431,400,399,451,450,449,448,447,446,445,444,429,405,404,402,401,383,382,381,380,379,378,377,376,375,374,373,372,370,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,688,686,634,621,620,619,589,535,510,509,471,470,463,462,461,460,459,458,457,456,455,454,453,452,439,432,427,426,425,424,416,415,409,408,407,406,403,393,392,391,390,389,388,384,682,496,492,491,490,489,418,417,413,412,411,410,398,702,592,591,583,551,550,534,533,532,531,530,529,528,527,515,486,482,481,480,479,478,473,472,684,656,643,642,611])).
% 4.95/5.02 cnf(1191,plain,
% 4.95/5.02 (E(f33(f20(x11911,x11912,x11913,x11914,x11915),x11912),x11913)),
% 4.95/5.02 inference(rename_variables,[],[270])).
% 4.95/5.02 cnf(1195,plain,
% 4.95/5.02 (~P22(f42(x11951,f28(f20(x11952,x11951,f14(x11953),x11954,x11955),x11956,x11953),x11956))),
% 4.95/5.02 inference(scs_inference,[],[158,159,182,160,161,162,163,164,166,168,170,171,172,173,174,176,178,195,183,367,190,713,794,282,303,299,224,213,727,730,739,773,781,787,270,759,813,822,1191,196,187,234,804,817,222,724,750,797,218,220,733,736,784,197,217,309,203,353,355,216,807,365,362,322,264,366,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493,397,514,513,502,443,644,477,587,562,507,559,658,699,582,700,694,431,400,399,451,450,449,448,447,446,445,444,429,405,404,402,401,383,382,381,380,379,378,377,376,375,374,373,372,370,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,688,686,634,621,620,619,589,535,510,509,471,470,463,462,461,460,459,458,457,456,455,454,453,452,439,432,427,426,425,424,416,415,409,408,407,406,403,393,392,391,390,389,388,384,682,496,492,491,490,489,418,417,413,412,411,410,398,702,592,591,583,551,550,534,533,532,531,530,529,528,527,515,486,482,481,480,479,478,473,472,684,656,643,642,611,609,604,569,568,567,566,544,697,664,590])).
% 4.95/5.02 cnf(1196,plain,
% 4.95/5.02 (E(f33(f20(x11961,x11962,x11963,x11964,x11965),x11962),x11963)),
% 4.95/5.02 inference(rename_variables,[],[270])).
% 4.95/5.02 cnf(1198,plain,
% 4.95/5.02 (P22(f42(x11981,f28(f20(x11982,x11981,f33(f13(x11983),x11984),x11985,x11986),x11987,x11983),x11987))),
% 4.95/5.02 inference(scs_inference,[],[158,159,182,160,161,162,163,164,166,168,170,171,172,173,174,176,178,195,183,367,190,713,794,282,303,299,224,213,727,730,739,773,781,787,270,759,813,822,1191,1196,196,187,234,804,817,222,724,750,797,218,220,733,736,784,197,217,309,203,353,355,216,807,365,362,322,264,366,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493,397,514,513,502,443,644,477,587,562,507,559,658,699,582,700,694,431,400,399,451,450,449,448,447,446,445,444,429,405,404,402,401,383,382,381,380,379,378,377,376,375,374,373,372,370,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,688,686,634,621,620,619,589,535,510,509,471,470,463,462,461,460,459,458,457,456,455,454,453,452,439,432,427,426,425,424,416,415,409,408,407,406,403,393,392,391,390,389,388,384,682,496,492,491,490,489,418,417,413,412,411,410,398,702,592,591,583,551,550,534,533,532,531,530,529,528,527,515,486,482,481,480,479,478,473,472,684,656,643,642,611,609,604,569,568,567,566,544,697,664,590,549])).
% 4.95/5.02 cnf(1199,plain,
% 4.95/5.02 (E(f33(f20(x11991,x11992,x11993,x11994,x11995),x11992),x11993)),
% 4.95/5.02 inference(rename_variables,[],[270])).
% 4.95/5.02 cnf(1201,plain,
% 4.95/5.02 (P22(f42(x12011,f28(f13(x12012),x12013,x12012),x12013))),
% 4.95/5.02 inference(scs_inference,[],[158,159,182,160,161,162,163,164,166,168,170,171,172,173,174,176,178,195,183,367,190,713,794,282,303,299,224,213,727,730,739,773,781,787,270,759,813,822,1191,1196,196,187,234,804,817,222,724,750,797,218,220,733,736,784,197,217,309,203,353,355,216,807,365,362,322,264,366,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493,397,514,513,502,443,644,477,587,562,507,559,658,699,582,700,694,431,400,399,451,450,449,448,447,446,445,444,429,405,404,402,401,383,382,381,380,379,378,377,376,375,374,373,372,370,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,688,686,634,621,620,619,589,535,510,509,471,470,463,462,461,460,459,458,457,456,455,454,453,452,439,432,427,426,425,424,416,415,409,408,407,406,403,393,392,391,390,389,388,384,682,496,492,491,490,489,418,417,413,412,411,410,398,702,592,591,583,551,550,534,533,532,531,530,529,528,527,515,486,482,481,480,479,478,473,472,684,656,643,642,611,609,604,569,568,567,566,544,697,664,590,549,543])).
% 4.95/5.02 cnf(1215,plain,
% 4.95/5.02 (P22(f42(x12151,f40(x12152,f40(x12151,x12153,x12154),x12154),x12154))),
% 4.95/5.02 inference(scs_inference,[],[158,159,182,160,161,162,163,164,166,168,170,171,172,173,174,176,178,195,183,367,190,713,794,282,303,299,224,213,727,730,739,773,781,787,270,759,813,822,1191,1196,196,187,234,804,817,222,724,750,797,218,220,733,736,784,197,217,309,203,353,355,216,807,365,810,362,322,264,366,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493,397,514,513,502,443,644,477,587,562,507,559,658,699,582,700,694,431,400,399,451,450,449,448,447,446,445,444,429,405,404,402,401,383,382,381,380,379,378,377,376,375,374,373,372,370,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,688,686,634,621,620,619,589,535,510,509,471,470,463,462,461,460,459,458,457,456,455,454,453,452,439,432,427,426,425,424,416,415,409,408,407,406,403,393,392,391,390,389,388,384,682,496,492,491,490,489,418,417,413,412,411,410,398,702,592,591,583,551,550,534,533,532,531,530,529,528,527,515,486,482,481,480,479,478,473,472,684,656,643,642,611,609,604,569,568,567,566,544,697,664,590,549,543,629,628,615,614,602,601,585])).
% 4.95/5.02 cnf(1233,plain,
% 4.95/5.02 (E(f33(f20(x12331,x12332,x12333,x12334,x12335),x12332),x12333)),
% 4.95/5.02 inference(rename_variables,[],[270])).
% 4.95/5.02 cnf(1244,plain,
% 4.95/5.02 (~E(a51,x12441)+P3(x12441)),
% 4.95/5.02 inference(scs_inference,[],[158,159,182,160,161,162,163,164,166,168,170,171,172,173,174,176,178,180,195,183,367,190,713,794,818,282,303,299,224,213,727,730,739,773,781,787,270,759,813,822,1191,1196,1199,196,187,234,804,817,222,724,750,797,218,220,733,736,784,197,217,309,203,353,355,216,807,365,810,362,272,322,264,366,762,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493,397,514,513,502,443,644,477,587,562,507,559,658,699,582,700,694,431,400,399,451,450,449,448,447,446,445,444,429,405,404,402,401,383,382,381,380,379,378,377,376,375,374,373,372,370,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,688,686,634,621,620,619,589,535,510,509,471,470,463,462,461,460,459,458,457,456,455,454,453,452,439,432,427,426,425,424,416,415,409,408,407,406,403,393,392,391,390,389,388,384,682,496,492,491,490,489,418,417,413,412,411,410,398,702,592,591,583,551,550,534,533,532,531,530,529,528,527,515,486,482,481,480,479,478,473,472,684,656,643,642,611,609,604,569,568,567,566,544,697,664,590,549,543,629,628,615,614,602,601,585,474,646,508,701,685,626,598,597,548,547,594,593,154,153])).
% 4.95/5.02 cnf(1258,plain,
% 4.95/5.02 (P11(f50(a1,a1))),
% 4.95/5.02 inference(scs_inference,[],[158,159,182,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,195,183,367,190,713,794,818,282,769,303,299,224,213,727,730,739,773,781,787,270,759,813,822,1191,1196,1199,196,187,234,804,817,222,724,750,797,218,220,733,736,784,197,217,309,203,353,355,216,807,365,810,362,272,322,264,366,762,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493,397,514,513,502,443,644,477,587,562,507,559,658,699,582,700,694,431,400,399,451,450,449,448,447,446,445,444,429,405,404,402,401,383,382,381,380,379,378,377,376,375,374,373,372,370,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,688,686,634,621,620,619,589,535,510,509,471,470,463,462,461,460,459,458,457,456,455,454,453,452,439,432,427,426,425,424,416,415,409,408,407,406,403,393,392,391,390,389,388,384,682,496,492,491,490,489,418,417,413,412,411,410,398,702,592,591,583,551,550,534,533,532,531,530,529,528,527,515,486,482,481,480,479,478,473,472,684,656,643,642,611,609,604,569,568,567,566,544,697,664,590,549,543,629,628,615,614,602,601,585,474,646,508,701,685,626,598,597,548,547,594,593,154,153,152,151,150,146,141,139,138,135,130,430,387,386])).
% 4.95/5.02 cnf(1264,plain,
% 4.95/5.02 (~P9(f40(x12641,x12642,x12643),f17(f37(f50(x12643,a1)),x12644,f50(x12643,a1)),f50(x12643,a1))),
% 4.95/5.02 inference(scs_inference,[],[158,159,182,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,195,183,367,190,713,794,818,282,769,303,299,224,213,727,730,739,773,781,787,270,759,813,822,1191,1196,1199,196,187,234,804,817,222,724,750,797,218,220,733,736,784,197,217,309,203,353,355,216,807,365,810,362,272,322,264,366,762,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493,397,514,513,502,443,644,477,587,562,507,559,658,699,582,700,694,431,400,399,451,450,449,448,447,446,445,444,429,405,404,402,401,383,382,381,380,379,378,377,376,375,374,373,372,370,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,688,686,634,621,620,619,589,535,510,509,471,470,463,462,461,460,459,458,457,456,455,454,453,452,439,432,427,426,425,424,416,415,409,408,407,406,403,393,392,391,390,389,388,384,682,496,492,491,490,489,418,417,413,412,411,410,398,702,592,591,583,551,550,534,533,532,531,530,529,528,527,515,486,482,481,480,479,478,473,472,684,656,643,642,611,609,604,569,568,567,566,544,697,664,590,549,543,629,628,615,614,602,601,585,474,646,508,701,685,626,598,597,548,547,594,593,154,153,152,151,150,146,141,139,138,135,130,430,387,386,524,522,520])).
% 4.95/5.02 cnf(1286,plain,
% 4.95/5.02 (P4(f16(f28(a3,a46,a12),f28(a3,a46,a12),f50(a46,a1)),a46)),
% 4.95/5.02 inference(scs_inference,[],[158,159,182,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,195,183,367,190,713,794,818,282,769,303,299,224,213,727,730,739,773,781,787,270,759,813,822,1191,1196,1199,196,187,234,804,817,222,724,750,797,218,220,733,736,784,197,217,309,203,353,355,216,807,365,810,362,272,322,264,366,762,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493,397,514,513,502,443,644,477,587,562,507,559,658,699,582,700,694,431,400,399,451,450,449,448,447,446,445,444,429,405,404,402,401,383,382,381,380,379,378,377,376,375,374,373,372,370,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,688,686,634,621,620,619,589,535,510,509,471,470,463,462,461,460,459,458,457,456,455,454,453,452,439,432,427,426,425,424,416,415,409,408,407,406,403,393,392,391,390,389,388,384,682,496,492,491,490,489,418,417,413,412,411,410,398,702,592,591,583,551,550,534,533,532,531,530,529,528,527,515,486,482,481,480,479,478,473,472,684,656,643,642,611,609,604,569,568,567,566,544,697,664,590,549,543,629,628,615,614,602,601,585,474,646,508,701,685,626,598,597,548,547,594,593,154,153,152,151,150,146,141,139,138,135,130,430,387,386,524,522,520,518,506,505,504,503,633,632,631,630,500,488])).
% 4.95/5.02 cnf(1300,plain,
% 4.95/5.02 (~P9(f40(x13001,x13002,x13003),f17(x13004,f17(f37(f50(x13003,a1)),x13005,f50(x13003,a1)),f50(x13003,a1)),f50(x13003,a1))),
% 4.95/5.02 inference(scs_inference,[],[158,159,182,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,195,183,367,190,713,794,818,282,769,303,299,224,213,727,730,739,773,781,787,270,759,813,822,1191,1196,1199,196,187,234,804,817,222,724,750,797,218,220,733,736,784,197,217,309,203,353,355,216,807,365,810,193,362,272,322,264,366,762,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493,397,514,513,502,443,644,477,587,562,507,559,658,699,582,700,694,431,400,399,451,450,449,448,447,446,445,444,429,405,404,402,401,383,382,381,380,379,378,377,376,375,374,373,372,370,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,688,686,634,621,620,619,589,535,510,509,471,470,463,462,461,460,459,458,457,456,455,454,453,452,439,432,427,426,425,424,416,415,409,408,407,406,403,393,392,391,390,389,388,384,682,496,492,491,490,489,418,417,413,412,411,410,398,702,592,591,583,551,550,534,533,532,531,530,529,528,527,515,486,482,481,480,479,478,473,472,684,656,643,642,611,609,604,569,568,567,566,544,697,664,590,549,543,629,628,615,614,602,601,585,474,646,508,701,685,626,598,597,548,547,594,593,154,153,152,151,150,146,141,139,138,135,130,430,387,386,524,522,520,518,506,505,504,503,633,632,631,630,500,488,438,436,435,434,433,536,525])).
% 4.95/5.02 cnf(1302,plain,
% 4.95/5.02 (~P5(f16(f37(f50(f47(a48),a1)),f41(f5(a19,a8,a12,f47(a48),a46),f28(a3,a46,a12),a46,f47(a48)),f50(f47(a48),a1)),f41(f5(a19,f5(f34(a12),a3,f45(a12),a12,a46),a12,f47(a48),a46),f28(a3,a46,a12),a46,f47(a48)),a48)),
% 4.95/5.02 inference(scs_inference,[],[158,159,182,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,195,183,367,190,713,794,818,282,769,303,299,224,213,727,730,739,773,781,787,270,759,813,822,1191,1196,1199,196,187,234,804,817,222,724,750,797,218,220,733,736,784,197,217,309,203,353,355,216,807,365,810,193,362,272,322,264,366,762,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493,397,514,513,502,443,644,477,587,562,507,559,658,699,582,700,694,431,400,399,451,450,449,448,447,446,445,444,429,405,404,402,401,383,382,381,380,379,378,377,376,375,374,373,372,370,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,688,686,634,621,620,619,589,535,510,509,471,470,463,462,461,460,459,458,457,456,455,454,453,452,439,432,427,426,425,424,416,415,409,408,407,406,403,393,392,391,390,389,388,384,682,496,492,491,490,489,418,417,413,412,411,410,398,702,592,591,583,551,550,534,533,532,531,530,529,528,527,515,486,482,481,480,479,478,473,472,684,656,643,642,611,609,604,569,568,567,566,544,697,664,590,549,543,629,628,615,614,602,601,585,474,646,508,701,685,626,598,597,548,547,594,593,154,153,152,151,150,146,141,139,138,135,130,430,387,386,524,522,520,518,506,505,504,503,633,632,631,630,500,488,438,436,435,434,433,536,525,707])).
% 4.95/5.02 cnf(1306,plain,
% 4.95/5.02 (P22(f33(f33(f27(f23(a2,a2)),f23(x13061,x13062)),f23(x13061,x13062)))),
% 4.95/5.02 inference(scs_inference,[],[158,159,182,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,195,183,367,190,713,794,818,282,769,303,299,224,213,727,730,739,773,781,787,270,759,813,822,1191,1196,1199,196,187,234,804,817,222,724,750,797,218,220,733,736,784,197,217,309,203,353,355,216,807,365,810,193,362,272,322,264,366,762,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493,397,514,513,502,443,644,477,587,562,507,559,658,699,582,700,694,431,400,399,451,450,449,448,447,446,445,444,429,405,404,402,401,383,382,381,380,379,378,377,376,375,374,373,372,370,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,688,686,634,621,620,619,589,535,510,509,471,470,463,462,461,460,459,458,457,456,455,454,453,452,439,432,427,426,425,424,416,415,409,408,407,406,403,393,392,391,390,389,388,384,682,496,492,491,490,489,418,417,413,412,411,410,398,702,592,591,583,551,550,534,533,532,531,530,529,528,527,515,486,482,481,480,479,478,473,472,684,656,643,642,611,609,604,569,568,567,566,544,697,664,590,549,543,629,628,615,614,602,601,585,474,646,508,701,685,626,598,597,548,547,594,593,154,153,152,151,150,146,141,139,138,135,130,430,387,386,524,522,520,518,506,505,504,503,633,632,631,630,500,488,438,436,435,434,433,536,525,707,588,610])).
% 4.95/5.02 cnf(1308,plain,
% 4.95/5.02 (~P22(f42(f23(x13081,x13082),f40(a2,f40(a2,f37(f50(x13083,a1)),x13083),x13083),x13083))),
% 4.95/5.02 inference(scs_inference,[],[158,159,182,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,195,183,367,190,713,794,818,282,769,303,299,224,213,727,730,739,773,781,787,270,759,813,822,1191,1196,1199,196,187,234,804,817,222,724,750,797,218,220,733,736,784,197,217,309,203,353,355,216,807,365,810,193,362,272,322,264,366,762,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493,397,514,513,502,443,644,477,587,562,507,559,658,699,582,700,694,431,400,399,451,450,449,448,447,446,445,444,429,405,404,402,401,383,382,381,380,379,378,377,376,375,374,373,372,370,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,688,686,634,621,620,619,589,535,510,509,471,470,463,462,461,460,459,458,457,456,455,454,453,452,439,432,427,426,425,424,416,415,409,408,407,406,403,393,392,391,390,389,388,384,682,496,492,491,490,489,418,417,413,412,411,410,398,702,592,591,583,551,550,534,533,532,531,530,529,528,527,515,486,482,481,480,479,478,473,472,684,656,643,642,611,609,604,569,568,567,566,544,697,664,590,549,543,629,628,615,614,602,601,585,474,646,508,701,685,626,598,597,548,547,594,593,154,153,152,151,150,146,141,139,138,135,130,430,387,386,524,522,520,518,506,505,504,503,633,632,631,630,500,488,438,436,435,434,433,536,525,707,588,610,606])).
% 4.95/5.02 cnf(1318,plain,
% 4.95/5.02 (~P22(f33(f33(f27(f10(f40(a2,x13181,x13182),a2,x13183)),a2),f23(x13184,x13185)))),
% 4.95/5.02 inference(scs_inference,[],[158,159,182,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,195,183,367,190,713,794,818,282,769,303,299,224,213,727,730,739,773,781,787,270,759,813,822,1191,1196,1199,196,187,234,804,817,222,724,750,797,218,220,733,736,784,197,217,309,203,353,355,216,807,365,810,193,362,272,322,264,366,762,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493,397,514,513,502,443,644,477,587,562,507,559,658,699,582,700,694,431,400,399,451,450,449,448,447,446,445,444,429,405,404,402,401,383,382,381,380,379,378,377,376,375,374,373,372,370,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,688,686,634,621,620,619,589,535,510,509,471,470,463,462,461,460,459,458,457,456,455,454,453,452,439,432,427,426,425,424,416,415,409,408,407,406,403,393,392,391,390,389,388,384,682,496,492,491,490,489,418,417,413,412,411,410,398,702,592,591,583,551,550,534,533,532,531,530,529,528,527,515,486,482,481,480,479,478,473,472,684,656,643,642,611,609,604,569,568,567,566,544,697,664,590,549,543,629,628,615,614,602,601,585,474,646,508,701,685,626,598,597,548,547,594,593,154,153,152,151,150,146,141,139,138,135,130,430,387,386,524,522,520,518,506,505,504,503,633,632,631,630,500,488,438,436,435,434,433,536,525,707,588,610,606,599,579,577,565,671])).
% 4.95/5.02 cnf(1331,plain,
% 4.95/5.02 (E(f33(f20(x13311,x13312,x13313,x13314,x13315),x13312),x13313)),
% 4.95/5.02 inference(rename_variables,[],[270])).
% 4.95/5.02 cnf(1341,plain,
% 4.95/5.02 (~P22(f33(f33(f27(f10(x13411,a2,a2)),a2),f23(x13412,x13413)))),
% 4.95/5.02 inference(scs_inference,[],[158,159,182,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,195,183,367,190,713,794,818,282,769,303,299,224,213,727,730,739,773,781,787,270,759,813,822,1191,1196,1199,1233,196,187,234,804,817,222,724,750,797,218,220,733,736,784,791,197,217,309,203,353,355,216,807,365,810,193,362,272,322,264,366,762,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493,397,514,513,502,443,644,477,587,562,507,559,658,699,582,700,694,431,400,399,451,450,449,448,447,446,445,444,429,405,404,402,401,383,382,381,380,379,378,377,376,375,374,373,372,370,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,688,686,634,621,620,619,589,535,510,509,471,470,463,462,461,460,459,458,457,456,455,454,453,452,439,432,427,426,425,424,416,415,409,408,407,406,403,393,392,391,390,389,388,384,682,496,492,491,490,489,418,417,413,412,411,410,398,702,592,591,583,551,550,534,533,532,531,530,529,528,527,515,486,482,481,480,479,478,473,472,684,656,643,642,611,609,604,569,568,567,566,544,697,664,590,549,543,629,628,615,614,602,601,585,474,646,508,701,685,626,598,597,548,547,594,593,154,153,152,151,150,146,141,139,138,135,130,430,387,386,524,522,520,518,506,505,504,503,633,632,631,630,500,488,438,436,435,434,433,536,525,707,588,610,606,599,579,577,565,671,669,653,651,690,689,683,581,608,607,586,673])).
% 4.95/5.02 cnf(1345,plain,
% 4.95/5.02 (P22(f42(x13451,f17(f40(x13451,x13452,x13453),f40(x13451,x13452,x13453),f50(x13453,a1)),x13453))),
% 4.95/5.02 inference(scs_inference,[],[158,159,182,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,195,183,367,190,713,794,818,282,769,303,299,224,213,727,730,739,773,781,787,270,759,813,822,1191,1196,1199,1233,196,187,234,804,817,222,724,750,797,218,220,733,736,784,791,197,217,309,203,353,355,216,807,365,810,193,362,272,322,264,366,762,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493,397,514,513,502,443,644,477,587,562,507,559,658,699,582,700,694,431,400,399,451,450,449,448,447,446,445,444,429,405,404,402,401,383,382,381,380,379,378,377,376,375,374,373,372,370,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,688,686,634,621,620,619,589,535,510,509,471,470,463,462,461,460,459,458,457,456,455,454,453,452,439,432,427,426,425,424,416,415,409,408,407,406,403,393,392,391,390,389,388,384,682,496,492,491,490,489,418,417,413,412,411,410,398,702,592,591,583,551,550,534,533,532,531,530,529,528,527,515,486,482,481,480,479,478,473,472,684,656,643,642,611,609,604,569,568,567,566,544,697,664,590,549,543,629,628,615,614,602,601,585,474,646,508,701,685,626,598,597,548,547,594,593,154,153,152,151,150,146,141,139,138,135,130,430,387,386,524,522,520,518,506,505,504,503,633,632,631,630,500,488,438,436,435,434,433,536,525,707,588,610,606,599,579,577,565,671,669,653,651,690,689,683,581,608,607,586,673,639,617])).
% 4.95/5.02 cnf(1348,plain,
% 4.95/5.02 (E(f33(f20(x13481,x13482,x13483,x13484,x13485),x13482),x13483)),
% 4.95/5.02 inference(rename_variables,[],[270])).
% 4.95/5.02 cnf(1349,plain,
% 4.95/5.02 (E(f33(f20(x13491,x13492,x13493,x13494,x13495),x13492),x13493)),
% 4.95/5.02 inference(rename_variables,[],[270])).
% 4.95/5.02 cnf(1360,plain,
% 4.95/5.02 (P5(f41(f5(a19,a8,a12,f47(a48),a46),f28(a3,a46,a12),a46,f47(a48)),f41(f5(a19,f5(f34(a12),a3,f45(a12),a12,a46),a12,f47(a48),a46),f28(a3,a46,a12),a46,f47(a48)),a48)),
% 4.95/5.02 inference(scs_inference,[],[158,159,182,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,195,183,367,190,713,794,818,282,769,303,299,224,213,727,730,739,773,781,787,270,759,813,822,1191,1196,1199,1233,1331,1349,1348,196,187,234,804,817,222,724,750,797,218,220,733,736,784,791,197,217,309,203,353,355,216,807,365,810,193,362,272,322,264,366,762,2,371,369,475,526,575,554,495,703,573,572,571,570,545,516,485,441,676,705,560,555,494,698,660,148,144,143,142,140,137,136,133,3,493,397,514,513,502,443,644,477,587,562,507,559,658,699,582,700,694,431,400,399,451,450,449,448,447,446,445,444,429,405,404,402,401,383,382,381,380,379,378,377,376,375,374,373,372,370,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,688,686,634,621,620,619,589,535,510,509,471,470,463,462,461,460,459,458,457,456,455,454,453,452,439,432,427,426,425,424,416,415,409,408,407,406,403,393,392,391,390,389,388,384,682,496,492,491,490,489,418,417,413,412,411,410,398,702,592,591,583,551,550,534,533,532,531,530,529,528,527,515,486,482,481,480,479,478,473,472,684,656,643,642,611,609,604,569,568,567,566,544,697,664,590,549,543,629,628,615,614,602,601,585,474,646,508,701,685,626,598,597,548,547,594,593,154,153,152,151,150,146,141,139,138,135,130,430,387,386,524,522,520,518,506,505,504,503,633,632,631,630,500,488,438,436,435,434,433,536,525,707,588,610,606,599,579,577,565,671,669,653,651,690,689,683,581,608,607,586,673,639,617,595,605,640,641,706])).
% 4.95/5.02 cnf(1427,plain,
% 4.95/5.02 (~P3(x14271)+P5(f37(f50(f47(a48),a1)),f40(f33(a19,x14271),f37(f50(f47(a48),a1)),f47(a48)),a48)),
% 4.95/5.02 inference(scs_inference,[],[158,159,561])).
% 4.95/5.02 cnf(1430,plain,
% 4.95/5.02 (~P9(x14301,f41(f5(a19,f5(f34(a12),a3,f45(a12),a12,a46),a12,f47(a48),a46),f28(a3,a46,a12),a46,f47(a48)),f50(f47(a48),a1))+P5(f41(f5(a19,a8,a12,f47(a48),a46),f28(a3,a46,a12),a46,f47(a48)),x14301,a48)),
% 4.95/5.02 inference(scs_inference,[],[158,159,706])).
% 4.95/5.02 cnf(1432,plain,
% 4.95/5.02 (E(x14321,f35(x14321,x14322,f14(a44),a43,a44))),
% 4.95/5.02 inference(rename_variables,[],[801])).
% 4.95/5.02 cnf(1434,plain,
% 4.95/5.02 (P6(f13(x14341),x14342,x14341,f45(x14341))),
% 4.95/5.02 inference(rename_variables,[],[224])).
% 4.95/5.02 cnf(1437,plain,
% 4.95/5.02 (P6(f13(x14371),x14372,x14371,f45(x14371))),
% 4.95/5.02 inference(rename_variables,[],[224])).
% 4.95/5.02 cnf(1440,plain,
% 4.95/5.02 (E(x14401,f35(x14401,x14402,f14(a44),a43,a44))),
% 4.95/5.02 inference(rename_variables,[],[801])).
% 4.95/5.02 cnf(1442,plain,
% 4.95/5.02 (E(x14421,f35(x14421,x14422,f14(a44),a43,a44))),
% 4.95/5.02 inference(rename_variables,[],[801])).
% 4.95/5.02 cnf(1443,plain,
% 4.95/5.02 (P10(f35(a1,x14431,f14(a44),a43,a44))),
% 4.95/5.02 inference(scs_inference,[],[170,173,224,1434,161,801,1432,1440,1442,1244,666,677,149,145,129])).
% 4.95/5.02 cnf(1444,plain,
% 4.95/5.02 (E(x14441,f35(x14441,x14442,f14(a44),a43,a44))),
% 4.95/5.02 inference(rename_variables,[],[801])).
% 4.95/5.02 cnf(1446,plain,
% 4.95/5.02 (E(x14461,f35(x14461,x14462,f14(a44),a43,a44))),
% 4.95/5.02 inference(rename_variables,[],[801])).
% 4.95/5.02 cnf(1448,plain,
% 4.95/5.02 (E(x14481,f35(x14481,x14482,f14(a44),a43,a44))),
% 4.95/5.02 inference(rename_variables,[],[801])).
% 4.95/5.02 cnf(1450,plain,
% 4.95/5.02 (E(x14501,f35(x14501,x14502,f14(a44),a43,a44))),
% 4.95/5.02 inference(rename_variables,[],[801])).
% 4.95/5.02 cnf(1451,plain,
% 4.95/5.02 (~E(f16(f39(f50(x14511,a1)),x14512,f50(x14511,a1)),f37(f50(x14511,a1)))),
% 4.95/5.02 inference(scs_inference,[],[158,322,159,170,173,224,1434,160,161,801,1432,1440,1442,1444,1446,1448,878,1244,666,677,149,145,129,128,127,126,423])).
% 4.95/5.02 cnf(1454,plain,
% 4.95/5.02 (~E(f17(f55(f39(a1)),x14541,a1),f39(a1))),
% 4.95/5.02 inference(scs_inference,[],[158,322,159,170,173,224,1434,160,161,711,801,1432,1440,1442,1444,1446,1448,878,1244,666,677,149,145,129,128,127,126,423,422])).
% 4.95/5.02 cnf(1455,plain,
% 4.95/5.02 (~E(f55(x14551),x14551)),
% 4.95/5.02 inference(rename_variables,[],[711])).
% 4.95/5.02 cnf(1457,plain,
% 4.95/5.02 (~E(f16(x14571,f55(f37(a1)),a1),f37(a1))),
% 4.95/5.02 inference(scs_inference,[],[158,322,159,170,173,224,1434,160,161,711,1455,801,1432,1440,1442,1444,1446,1448,878,1244,666,677,149,145,129,128,127,126,423,422,421])).
% 4.95/5.02 cnf(1458,plain,
% 4.95/5.02 (~E(f55(x14581),x14581)),
% 4.95/5.02 inference(rename_variables,[],[711])).
% 4.95/5.02 cnf(1464,plain,
% 4.95/5.02 (P6(f13(x14641),x14642,x14641,f45(x14641))),
% 4.95/5.02 inference(rename_variables,[],[224])).
% 4.95/5.02 cnf(1468,plain,
% 4.95/5.02 (P9(f37(f50(x14681,a1)),x14682,f50(x14681,a1))),
% 4.95/5.02 inference(rename_variables,[],[198])).
% 4.95/5.02 cnf(1470,plain,
% 4.95/5.02 (P6(x14701,f35(f37(f50(x14702,a1)),x14703,f14(a44),a43,a44),x14702,x14704)),
% 4.95/5.02 inference(scs_inference,[],[158,198,228,322,159,170,173,224,1434,1437,160,161,711,1455,1458,1300,801,1432,1440,1442,1444,1446,1448,1450,878,1244,666,677,149,145,129,128,127,126,423,422,421,420,679,678,132])).
% 4.95/5.02 cnf(1471,plain,
% 4.95/5.02 (E(x14711,f35(x14711,x14712,f14(a44),a43,a44))),
% 4.95/5.02 inference(rename_variables,[],[801])).
% 4.95/5.02 cnf(1472,plain,
% 4.95/5.02 (P5(f40(x14721,x14722,f47(x14723)),f40(x14721,f37(f50(f47(x14723),a1)),f47(x14723)),x14723)),
% 4.95/5.02 inference(scs_inference,[],[158,198,228,322,159,170,173,224,1434,1437,160,161,767,711,1455,1458,1300,801,1432,1440,1442,1444,1446,1448,1450,878,1244,666,677,149,145,129,128,127,126,423,422,421,420,679,678,132,603])).
% 4.95/5.02 cnf(1483,plain,
% 4.95/5.02 (~P9(f40(x14831,x14832,x14833),f17(x14834,f17(f37(f50(x14833,a1)),x14835,f50(x14833,a1)),f50(x14833,a1)),f50(x14833,a1))),
% 4.95/5.02 inference(rename_variables,[],[1300])).
% 4.95/5.02 cnf(1486,plain,
% 4.95/5.02 (~P9(f40(x14861,x14862,x14863),f17(x14864,f17(f37(f50(x14863,a1)),x14865,f50(x14863,a1)),f50(x14863,a1)),f50(x14863,a1))),
% 4.95/5.02 inference(rename_variables,[],[1300])).
% 4.95/5.02 cnf(1488,plain,
% 4.95/5.02 (~P9(f40(x14881,x14882,x14883),f17(f17(x14884,f17(f37(f50(x14883,a1)),x14885,f50(x14883,a1)),f50(x14883,a1)),x14886,f50(x14883,a1)),f50(x14883,a1))),
% 4.95/5.02 inference(scs_inference,[],[158,708,265,198,228,322,159,170,173,224,1434,1437,367,264,160,161,767,711,1455,1458,1195,1300,1483,1486,801,1432,1440,1442,1444,1446,1448,1450,870,872,878,1244,666,677,149,145,129,128,127,126,423,422,421,420,679,678,132,603,485,549,660,493,524,522,520])).
% 4.95/5.02 cnf(1489,plain,
% 4.95/5.02 (~P9(f40(x14891,x14892,x14893),f17(x14894,f17(f37(f50(x14893,a1)),x14895,f50(x14893,a1)),f50(x14893,a1)),f50(x14893,a1))),
% 4.95/5.02 inference(rename_variables,[],[1300])).
% 4.95/5.02 cnf(1492,plain,
% 4.95/5.02 (P9(f37(f50(x14921,a1)),x14922,f50(x14921,a1))),
% 4.95/5.02 inference(rename_variables,[],[198])).
% 4.95/5.02 cnf(1497,plain,
% 4.95/5.02 (E(f33(f34(x14971),f33(f13(x14971),x14972)),x14972)),
% 4.95/5.02 inference(rename_variables,[],[186])).
% 4.95/5.02 cnf(1498,plain,
% 4.95/5.02 (~E(f33(f13(x14981),x14982),f14(x14981))),
% 4.95/5.02 inference(rename_variables,[],[309])).
% 4.95/5.02 cnf(1501,plain,
% 4.95/5.02 (P22(f33(f33(f27(a2),x15011),x15011))),
% 4.95/5.02 inference(rename_variables,[],[193])).
% 4.95/5.02 cnf(1504,plain,
% 4.95/5.02 (~E(f33(f4(f14(x15041),f45(x15041),x15042),x15043),f33(f13(x15041),x15044))),
% 4.95/5.02 inference(rename_variables,[],[761])).
% 4.95/5.02 cnf(1508,plain,
% 4.95/5.02 (P5(f40(x15081,f40(f18(x15082,x15083,x15082,x15084),f37(f50(f47(x15084),a1)),f47(x15084)),f47(x15084)),f40(f18(x15082,f23(x15083,x15083),x15082,x15084),f37(f50(f47(x15084),a1)),f47(x15084)),x15084)),
% 4.95/5.02 inference(scs_inference,[],[158,708,305,265,198,1468,1492,186,228,322,159,170,173,224,1434,1437,367,193,264,309,160,161,767,711,1455,1458,715,761,1195,1300,1483,1486,1341,801,1432,1440,1442,1444,1446,1448,1450,870,872,878,1244,666,677,149,145,129,128,127,126,423,422,421,420,679,678,132,603,485,549,660,493,524,522,520,505,630,587,651,690,607,694])).
% 4.95/5.02 cnf(1511,plain,
% 4.95/5.02 (P9(f37(f50(x15111,a1)),x15112,f50(x15111,a1))),
% 4.95/5.02 inference(rename_variables,[],[198])).
% 4.95/5.02 cnf(1514,plain,
% 4.95/5.02 (P9(f37(f50(x15141,a1)),x15142,f50(x15141,a1))),
% 4.95/5.02 inference(rename_variables,[],[198])).
% 4.95/5.02 cnf(1518,plain,
% 4.95/5.02 (P9(f37(f50(x15181,a1)),x15182,f50(x15181,a1))),
% 4.95/5.02 inference(rename_variables,[],[198])).
% 4.95/5.02 cnf(1519,plain,
% 4.95/5.02 (P15(f50(x15191,a1))),
% 4.95/5.02 inference(rename_variables,[],[872])).
% 4.95/5.02 cnf(1524,plain,
% 4.95/5.02 (P9(f41(x15241,f17(x15242,x15243,f50(x15244,a1)),x15244,x15245),f17(f41(x15241,x15242,x15244,x15245),f41(x15241,x15243,x15244,x15245),f50(x15245,a1)),f50(x15245,a1))),
% 4.95/5.02 inference(rename_variables,[],[275])).
% 4.95/5.02 cnf(1542,plain,
% 4.95/5.02 (~P9(f40(a2,f37(f50(x15421,a1)),x15421),f40(f23(x15422,x15423),f17(x15424,f17(f37(f50(x15421,a1)),x15425,f50(x15421,a1)),f50(x15421,a1)),x15421),f50(x15421,a1))),
% 4.95/5.02 inference(scs_inference,[],[158,708,709,181,305,265,198,1468,1492,1511,1514,275,186,228,322,159,170,173,224,1434,1437,367,193,264,309,160,161,767,711,1455,1458,715,761,1195,1300,1483,1486,1489,732,1010,1264,1341,801,1432,1440,1442,1444,1446,1448,1450,860,866,870,872,1519,878,1302,1244,666,677,149,145,129,128,127,126,423,422,421,420,679,678,132,603,485,549,660,493,524,522,520,505,630,587,651,690,607,694,498,497,542,571,433,652,526,495,573,572,430,387,581])).
% 4.95/5.02 cnf(1543,plain,
% 4.95/5.02 (~P9(f40(x15431,x15432,x15433),f17(x15434,f17(f37(f50(x15433,a1)),x15435,f50(x15433,a1)),f50(x15433,a1)),f50(x15433,a1))),
% 4.95/5.02 inference(rename_variables,[],[1300])).
% 4.95/5.02 cnf(1546,plain,
% 4.95/5.02 (P9(f17(x15461,x15462,f50(x15463,a1)),x15462,f50(x15463,a1))),
% 4.95/5.02 inference(rename_variables,[],[220])).
% 4.95/5.02 cnf(1547,plain,
% 4.95/5.02 (P9(f37(f50(x15471,a1)),x15472,f50(x15471,a1))),
% 4.95/5.02 inference(rename_variables,[],[198])).
% 4.95/5.02 cnf(1549,plain,
% 4.95/5.02 (~P6(f34(x15491),f40(x15492,f39(f50(x15493,a1)),x15493),x15493,x15494)),
% 4.95/5.02 inference(scs_inference,[],[158,708,709,181,305,265,198,1468,1492,1511,1514,1518,275,186,213,228,220,322,159,170,173,224,1434,1437,367,193,264,309,160,161,767,711,1455,1458,715,761,1195,1300,1483,1486,1489,732,1010,1264,1341,801,1432,1440,1442,1444,1446,1448,1450,860,866,870,872,1519,878,1302,1244,666,677,149,145,129,128,127,126,423,422,421,420,679,678,132,603,485,549,660,493,524,522,520,505,630,587,651,690,607,694,498,497,542,571,433,652,526,495,573,572,430,387,581,502,613])).
% 4.95/5.02 cnf(1554,plain,
% 4.95/5.02 (~P22(f33(f28(f20(x15541,x15542,f14(x15543),x15544,x15545),x15546,x15543),x15542))),
% 4.95/5.02 inference(scs_inference,[],[158,708,709,181,305,265,198,1468,1492,1511,1514,1518,275,186,213,228,220,322,159,170,173,224,1434,1437,367,193,264,309,160,161,767,711,1455,1458,715,761,1195,1174,1300,1483,1486,1489,732,1010,1264,1341,801,1432,1440,1442,1444,1446,1448,1450,860,866,870,872,1519,878,1302,1244,666,677,149,145,129,128,127,126,423,422,421,420,679,678,132,603,485,549,660,493,524,522,520,505,630,587,651,690,607,694,498,497,542,571,433,652,526,495,573,572,430,387,581,502,613,703,441])).
% 4.95/5.02 cnf(1561,plain,
% 4.95/5.02 (~P6(f34(x15611),f39(f50(f33(f13(a12),a52),a1)),f33(a3,a53),x15612)),
% 4.95/5.02 inference(scs_inference,[],[158,708,709,181,305,265,198,1468,1492,1511,1514,1518,275,283,261,186,213,228,220,322,159,170,173,224,1434,1437,367,193,264,309,160,161,183,767,711,1455,1458,715,761,1195,1198,1174,1300,1483,1486,1489,732,1010,1264,1341,801,1432,1440,1442,1444,1446,1448,1450,826,860,866,870,872,1519,878,1302,1244,666,677,149,145,129,128,127,126,423,422,421,420,679,678,132,603,485,549,660,493,524,522,520,505,630,587,651,690,607,694,498,497,542,571,433,652,526,495,573,572,430,387,581,502,613,703,441,590,157,144,143,133])).
% 4.95/5.02 cnf(1562,plain,
% 4.95/5.02 (P11(f50(f50(a1,a1),f50(a1,a1)))),
% 4.95/5.02 inference(scs_inference,[],[158,708,709,181,305,265,198,1468,1492,1511,1514,1518,275,283,261,186,213,228,220,322,159,170,173,224,1434,1437,367,193,264,309,160,161,183,767,711,1455,1458,715,761,1195,1198,1174,1300,1483,1486,1489,732,1010,1258,1264,1341,801,1432,1440,1442,1444,1446,1448,1450,826,860,866,870,872,1519,878,1302,1244,666,677,149,145,129,128,127,126,423,422,421,420,679,678,132,603,485,549,660,493,524,522,520,505,630,587,651,690,607,694,498,497,542,571,433,652,526,495,573,572,430,387,581,502,613,703,441,590,157,144,143,133,386])).
% 4.95/5.02 cnf(1565,plain,
% 4.95/5.02 (~P9(f40(x15651,x15652,x15653),f17(x15654,f17(f37(f50(x15653,a1)),x15655,f50(x15653,a1)),f50(x15653,a1)),f50(x15653,a1))),
% 4.95/5.02 inference(rename_variables,[],[1300])).
% 4.95/5.02 cnf(1566,plain,
% 4.95/5.02 (P16(f50(x15661,a1))),
% 4.95/5.02 inference(rename_variables,[],[870])).
% 4.95/5.02 cnf(1569,plain,
% 4.95/5.02 (P9(f37(f50(x15691,a1)),x15692,f50(x15691,a1))),
% 4.95/5.02 inference(rename_variables,[],[198])).
% 4.95/5.02 cnf(1572,plain,
% 4.95/5.02 (P9(f41(x15721,f17(x15722,x15723,f50(x15724,a1)),x15724,x15725),f17(f41(x15721,x15722,x15724,x15725),f41(x15721,x15723,x15724,x15725),f50(x15725,a1)),f50(x15725,a1))),
% 4.95/5.02 inference(rename_variables,[],[275])).
% 4.95/5.02 cnf(1575,plain,
% 4.95/5.02 (P9(f41(x15751,f17(x15752,x15753,f50(x15754,a1)),x15754,x15755),f17(f41(x15751,x15752,x15754,x15755),f41(x15751,x15753,x15754,x15755),f50(x15755,a1)),f50(x15755,a1))),
% 4.95/5.02 inference(rename_variables,[],[275])).
% 4.95/5.02 cnf(1582,plain,
% 4.95/5.02 (~P9(f40(x15821,x15822,x15823),f17(x15824,f17(f37(f50(x15823,a1)),x15825,f50(x15823,a1)),f50(x15823,a1)),f50(x15823,a1))),
% 4.95/5.02 inference(rename_variables,[],[1300])).
% 4.95/5.02 cnf(1585,plain,
% 4.95/5.02 (P22(f33(f33(f27(a2),x15851),x15851))),
% 4.95/5.02 inference(rename_variables,[],[193])).
% 4.95/5.02 cnf(1588,plain,
% 4.95/5.02 (~P22(f33(f37(f50(x15881,a1)),x15882))),
% 4.95/5.02 inference(rename_variables,[],[362])).
% 4.95/5.02 cnf(1592,plain,
% 4.95/5.02 (P9(f16(f37(f50(x15921,a1)),f41(x15922,f17(x15923,x15924,f50(x15925,a1)),x15925,x15921),f50(x15921,a1)),f17(f41(x15922,x15923,x15925,x15921),f41(x15922,x15924,x15925,x15921),f50(x15921,a1)),f50(x15921,a1))),
% 4.95/5.02 inference(scs_inference,[],[158,708,709,181,305,265,198,1468,1492,1511,1514,1518,1547,1569,275,1524,1572,1575,283,261,186,213,228,220,322,174,159,170,173,224,1434,1437,367,193,1501,1585,264,309,362,160,161,183,767,711,1455,1458,715,761,1195,1198,1174,1300,1483,1486,1489,1543,1565,732,1010,1258,1264,1341,801,1432,1440,1442,1444,1446,1448,1450,826,860,866,870,1566,872,1519,878,1302,1244,666,677,149,145,129,128,127,126,423,422,421,420,679,678,132,603,485,549,660,493,524,522,520,505,630,587,651,690,607,694,498,497,542,571,433,652,526,495,573,572,430,387,581,502,613,703,441,590,157,144,143,133,386,518,506,504,503,631,500,438,536,588,610,579])).
% 4.95/5.02 cnf(1593,plain,
% 4.95/5.02 (P9(f41(x15931,f17(x15932,x15933,f50(x15934,a1)),x15934,x15935),f17(f41(x15931,x15932,x15934,x15935),f41(x15931,x15933,x15934,x15935),f50(x15935,a1)),f50(x15935,a1))),
% 4.95/5.02 inference(rename_variables,[],[275])).
% 4.95/5.02 cnf(1594,plain,
% 4.95/5.02 (P9(f37(f50(x15941,a1)),x15942,f50(x15941,a1))),
% 4.95/5.02 inference(rename_variables,[],[198])).
% 4.95/5.02 cnf(1598,plain,
% 4.95/5.02 (P22(f42(f33(x15981,f33(x15982,x15983)),f41(x15981,f41(x15982,f39(f50(x15984,a1)),x15984,x15985),x15985,x15986),x15986))),
% 4.95/5.02 inference(scs_inference,[],[158,708,709,181,305,265,198,1468,1492,1511,1514,1518,1547,1569,275,1524,1572,1575,1593,283,261,186,190,213,228,220,322,174,159,170,173,224,1434,1437,367,193,1501,1585,264,309,362,160,161,183,767,711,1455,1458,715,761,1195,1198,1174,1300,1483,1486,1489,1543,1565,732,1010,1258,1264,1341,801,1432,1440,1442,1444,1446,1448,1450,826,860,866,870,1566,872,1519,878,1302,1244,666,677,149,145,129,128,127,126,423,422,421,420,679,678,132,603,485,549,660,493,524,522,520,505,630,587,651,690,607,694,498,497,542,571,433,652,526,495,573,572,430,387,581,502,613,703,441,590,157,144,143,133,386,518,506,504,503,631,500,438,536,588,610,579,577,658])).
% 4.95/5.02 cnf(1599,plain,
% 4.95/5.02 (P9(x15991,x15991,f50(x15992,a1))),
% 4.95/5.02 inference(rename_variables,[],[190])).
% 4.95/5.02 cnf(1603,plain,
% 4.95/5.02 (~P22(f42(x16031,f17(x16032,f17(f37(f50(x16033,a1)),x16034,f50(x16033,a1)),f50(x16033,a1)),x16033))),
% 4.95/5.02 inference(scs_inference,[],[158,708,709,181,305,265,198,1468,1492,1511,1514,1518,1547,1569,1594,275,1524,1572,1575,1593,283,261,186,190,213,228,220,322,174,159,170,173,224,1434,1437,367,193,1501,1585,264,309,362,160,161,183,767,711,1455,1458,715,761,1195,1198,1306,1174,1300,1483,1486,1489,1543,1565,1582,732,1010,1258,1264,1341,801,1432,1440,1442,1444,1446,1448,1450,826,860,866,870,1566,872,1519,878,1302,1244,666,677,149,145,129,128,127,126,423,422,421,420,679,678,132,603,485,549,660,493,524,522,520,505,630,587,651,690,607,694,498,497,542,571,433,652,526,495,573,572,430,387,581,502,613,703,441,590,157,144,143,133,386,518,506,504,503,631,500,438,536,588,610,579,577,658,653,582])).
% 4.95/5.02 cnf(1605,plain,
% 4.95/5.02 (~P9(f40(x16051,x16052,x16053),f17(x16054,f17(f37(f50(x16053,a1)),x16055,f50(x16053,a1)),f50(x16053,a1)),f50(x16053,a1))),
% 4.95/5.02 inference(rename_variables,[],[1300])).
% 4.95/5.02 cnf(1621,plain,
% 4.95/5.02 (P9(f17(x16211,x16212,f50(x16213,a1)),x16212,f50(x16213,a1))),
% 4.95/5.02 inference(rename_variables,[],[220])).
% 4.95/5.02 cnf(1624,plain,
% 4.95/5.02 (~P9(f41(f5(a19,a8,a12,f47(a48),a46),f28(a3,a46,a12),a46,f47(a48)),f37(f50(f47(a48),a1)),f50(f47(a48),a1))),
% 4.95/5.02 inference(scs_inference,[],[158,708,709,181,305,265,198,1468,1492,1511,1514,1518,1547,1569,1594,275,1524,1572,1575,1593,283,261,186,190,1599,213,228,220,1546,322,219,174,159,170,173,224,1434,1437,367,353,193,1501,1585,264,309,1498,362,160,161,183,767,711,1455,1458,715,761,1195,1198,1306,1174,1300,1483,1486,1489,1543,1565,1582,732,1010,1258,1264,1164,1318,1341,1020,801,1432,1440,1442,1444,1446,1448,1450,1078,826,860,866,870,1566,872,1519,878,1302,1244,666,677,149,145,129,128,127,126,423,422,421,420,679,678,132,603,485,549,660,493,524,522,520,505,630,587,651,690,607,694,498,497,542,571,433,652,526,495,573,572,430,387,581,502,613,703,441,590,157,144,143,133,386,518,506,504,503,631,500,438,536,588,610,579,577,658,653,582,600,673,640,469,539,475])).
% 4.95/5.02 cnf(1630,plain,
% 4.95/5.02 (P22(f42(x16301,f40(x16302,f16(f40(x16301,x16303,x16304),x16305,f50(x16304,a1)),x16304),x16304))),
% 4.95/5.02 inference(scs_inference,[],[158,708,709,181,305,265,198,1468,1492,1511,1514,1518,1547,1569,1594,275,1524,1572,1575,1593,283,261,186,190,1599,213,228,220,1546,322,219,174,159,170,173,224,1434,1437,367,353,193,1501,1585,264,309,1498,362,160,161,183,767,711,1455,1458,715,761,1195,1198,1306,1174,1300,1483,1486,1489,1543,1565,1582,1605,732,1010,1258,1264,1164,726,1318,1341,1020,801,1432,1440,1442,1444,1446,1448,1450,1078,826,860,866,870,1566,872,1519,878,1302,1244,666,677,149,145,129,128,127,126,423,422,421,420,679,678,132,603,485,549,660,493,524,522,520,505,630,587,651,690,607,694,498,497,542,571,433,652,526,495,573,572,430,387,581,502,613,703,441,590,157,144,143,133,386,518,506,504,503,631,500,438,536,588,610,579,577,658,653,582,600,673,640,469,539,475,570,545,555])).
% 4.95/5.02 cnf(1633,plain,
% 4.95/5.02 (P4(f35(f37(f50(x16331,a1)),x16332,f14(a44),a43,a44),x16331)),
% 4.95/5.02 inference(scs_inference,[],[158,708,709,181,305,265,198,1468,1492,1511,1514,1518,1547,1569,1594,275,1524,1572,1575,1593,283,261,186,190,1599,213,228,220,1546,322,219,174,159,170,173,224,1434,1437,187,367,353,193,1501,1585,264,309,1498,362,160,161,183,767,711,1455,1458,715,761,1195,1198,1306,1174,1300,1483,1486,1489,1543,1565,1582,1605,732,1010,1258,1264,1164,726,1318,1341,1020,801,1432,1440,1442,1444,1446,1448,1450,1471,1078,826,860,866,870,1566,872,1519,878,1302,1244,666,677,149,145,129,128,127,126,423,422,421,420,679,678,132,603,485,549,660,493,524,522,520,505,630,587,651,690,607,694,498,497,542,571,433,652,526,495,573,572,430,387,581,502,613,703,441,590,157,144,143,133,386,518,506,504,503,631,500,438,536,588,610,579,577,658,653,582,600,673,640,469,539,475,570,545,555,147])).
% 4.95/5.02 cnf(1635,plain,
% 4.95/5.02 (~P9(f41(f5(a19,f5(f34(a12),a3,f45(a12),a12,a46),a12,f47(a48),a46),f28(a3,a46,a12),a46,f47(a48)),f16(f37(f50(f47(a48),a1)),f41(f5(a19,a8,a12,f47(a48),a46),f28(a3,a46,a12),a46,f47(a48)),f50(f47(a48),a1)),f50(f47(a48),a1))),
% 4.95/5.02 inference(scs_inference,[],[158,708,709,181,305,265,198,1468,1492,1511,1514,1518,1547,1569,1594,275,1524,1572,1575,1593,283,261,257,186,190,1599,213,228,220,1546,322,219,174,159,170,173,224,1434,1437,187,367,353,193,1501,1585,264,309,1498,362,160,161,183,767,711,1455,1458,715,712,761,1195,1198,1306,1174,1300,1483,1486,1489,1543,1565,1582,1605,732,1010,1258,1264,1164,726,1318,1341,1020,801,1432,1440,1442,1444,1446,1448,1450,1471,1078,826,860,866,870,1566,872,1519,878,1302,1244,666,677,149,145,129,128,127,126,423,422,421,420,679,678,132,603,485,549,660,493,524,522,520,505,630,587,651,690,607,694,498,497,542,571,433,652,526,495,573,572,430,387,581,502,613,703,441,590,157,144,143,133,386,518,506,504,503,631,500,438,536,588,610,579,577,658,653,582,600,673,640,469,539,475,570,545,555,147,142,513])).
% 4.95/5.02 cnf(1638,plain,
% 4.95/5.02 (P9(f41(x16381,f17(x16382,x16383,f50(x16384,a1)),x16384,x16385),f17(f41(x16381,x16382,x16384,x16385),f41(x16381,x16383,x16384,x16385),f50(x16385,a1)),f50(x16385,a1))),
% 4.95/5.02 inference(rename_variables,[],[275])).
% 4.95/5.02 cnf(1642,plain,
% 4.95/5.02 (~P9(f41(f5(a19,f5(f34(a12),a3,f45(a12),a12,a46),a12,f47(a48),a46),f28(a3,a46,a12),a46,f47(a48)),f37(f50(f47(a48),a1)),f50(f47(a48),a1))),
% 4.95/5.02 inference(scs_inference,[],[158,708,709,181,305,265,198,1468,1492,1511,1514,1518,1547,1569,1594,275,1524,1572,1575,1593,283,261,257,186,190,1599,213,228,220,1546,322,219,174,203,159,170,173,224,1434,1437,1464,187,367,353,193,1501,1585,264,309,1498,362,160,161,183,767,711,1455,1458,715,712,761,1195,1198,1306,1174,1300,1483,1486,1489,1543,1565,1582,1605,732,1010,1258,1264,1164,726,1318,1341,1020,801,1432,1440,1442,1444,1446,1448,1450,1471,1078,826,975,860,866,870,1566,872,1519,878,1302,1244,666,677,149,145,129,128,127,126,423,422,421,420,679,678,132,603,485,549,660,493,524,522,520,505,630,587,651,690,607,694,498,497,542,571,433,652,526,495,573,572,430,387,581,502,613,703,441,590,157,144,143,133,386,518,506,504,503,631,500,438,536,588,610,579,577,658,653,582,600,673,640,469,539,475,570,545,555,147,142,513,434,134,131,514])).
% 4.95/5.02 cnf(1647,plain,
% 4.95/5.02 (P9(f41(x16471,f17(x16472,x16473,f50(x16474,a1)),x16474,x16475),f17(f41(x16471,x16472,x16474,x16475),f41(x16471,x16473,x16474,x16475),f50(x16475,a1)),f50(x16475,a1))),
% 4.95/5.02 inference(rename_variables,[],[275])).
% 4.95/5.02 cnf(1655,plain,
% 4.95/5.02 (E(f33(f20(x16551,x16552,x16553,x16554,x16555),x16552),x16553)),
% 4.95/5.02 inference(rename_variables,[],[270])).
% 4.95/5.02 cnf(1670,plain,
% 4.95/5.02 (E(f36(x16701,x16702,f14(x16703),x16704,x16703),x16701)),
% 4.95/5.02 inference(rename_variables,[],[258])).
% 4.95/5.02 cnf(1673,plain,
% 4.95/5.02 (~P9(f17(f40(x16731,x16732,x16733),f40(x16731,x16734,x16733),f50(x16733,a1)),f17(x16735,f17(f37(f50(x16733,a1)),x16736,f50(x16733,a1)),f50(x16733,a1)),f50(x16733,a1))),
% 4.95/5.02 inference(scs_inference,[],[158,708,709,181,305,185,265,198,1468,1492,1511,1514,1518,1547,1569,1594,275,1524,1572,1575,1593,1638,1647,248,278,283,261,257,258,186,1497,190,1599,213,228,270,1655,220,1546,355,322,366,219,174,203,159,170,173,224,1434,1437,1464,187,367,353,193,1501,1585,264,309,1498,362,1588,160,161,183,767,711,1455,1458,715,712,761,1504,1195,1198,1306,1174,1300,1483,1486,1489,1543,1565,1582,1605,732,1010,1258,1264,1164,726,1318,1341,1020,801,1432,1440,1442,1444,1446,1448,1450,1471,1078,826,975,860,866,870,1566,872,1519,878,1302,1286,1244,666,677,149,145,129,128,127,126,423,422,421,420,679,678,132,603,485,549,660,493,524,522,520,505,630,587,651,690,607,694,498,497,542,571,433,652,526,495,573,572,430,387,581,502,613,703,441,590,157,144,143,133,386,518,506,504,503,631,500,438,536,588,610,579,577,658,653,582,600,673,640,469,539,475,570,545,555,147,142,513,434,134,131,514,488,436,435,618,683,605,5,2,45,562,156,140,138,3,136])).
% 4.95/5.02 cnf(1674,plain,
% 4.95/5.02 (~P9(f40(x16741,x16742,x16743),f17(x16744,f17(f37(f50(x16743,a1)),x16745,f50(x16743,a1)),f50(x16743,a1)),f50(x16743,a1))),
% 4.95/5.02 inference(rename_variables,[],[1300])).
% 4.95/5.02 cnf(1683,plain,
% 4.95/5.02 (E(f33(f13(x16831),f31(x16832,f13(x16831),x16833,x16831)),f33(f13(x16831),x16832))),
% 4.95/5.02 inference(scs_inference,[],[158,708,709,181,305,185,265,198,1468,1492,1511,1514,1518,1547,1569,1594,275,1524,1572,1575,1593,1638,1647,248,278,283,261,257,258,1670,186,1497,190,1599,213,228,270,1655,220,1546,1621,355,322,366,219,174,203,159,170,173,224,1434,1437,1464,187,367,353,193,1501,1585,264,309,1498,362,1588,160,161,183,767,711,1455,1458,715,1201,712,761,1504,1195,1198,1306,1174,1300,1483,1486,1489,1543,1565,1582,1605,1674,732,1010,1258,1264,1164,726,1318,1341,1020,801,1432,1440,1442,1444,1446,1448,1450,1471,1078,826,975,860,866,870,1566,872,1519,878,1302,1286,1244,666,677,149,145,129,128,127,126,423,422,421,420,679,678,132,603,485,549,660,493,524,522,520,505,630,587,651,690,607,694,498,497,542,571,433,652,526,495,573,572,430,387,581,502,613,703,441,590,157,144,143,133,386,518,506,504,503,631,500,438,536,588,610,579,577,658,653,582,600,673,640,469,539,475,570,545,555,147,142,513,434,134,131,514,488,436,435,618,683,605,5,2,45,562,156,140,138,3,136,15,137,1430,1427,649])).
% 4.95/5.02 cnf(1745,plain,
% 4.95/5.02 (P9(f17(x17451,x17452,f50(x17453,a1)),x17451,f50(x17453,a1))),
% 4.95/5.02 inference(rename_variables,[],[221])).
% 4.95/5.02 cnf(1749,plain,
% 4.95/5.02 (P9(f17(x17491,x17492,f50(x17493,a1)),x17491,f50(x17493,a1))),
% 4.95/5.02 inference(rename_variables,[],[221])).
% 4.95/5.02 cnf(1752,plain,
% 4.95/5.02 (E(x17521,f35(x17521,x17522,f14(a44),a43,a44))),
% 4.95/5.02 inference(rename_variables,[],[801])).
% 4.95/5.02 cnf(1754,plain,
% 4.95/5.02 (E(x17541,f35(x17541,x17542,f14(a44),a43,a44))),
% 4.95/5.02 inference(rename_variables,[],[801])).
% 4.95/5.02 cnf(1756,plain,
% 4.95/5.02 (E(x17561,f35(x17561,x17562,f14(a44),a43,a44))),
% 4.95/5.02 inference(rename_variables,[],[801])).
% 4.95/5.02 cnf(1759,plain,
% 4.95/5.02 (P9(x17591,f16(x17592,f16(x17591,x17593,f50(x17594,a1)),f50(x17594,a1)),f50(x17594,a1))),
% 4.95/5.02 inference(scs_inference,[],[184,709,221,1745,218,171,187,162,1562,801,1752,1754,1756,872,644,443,153,149,146,130,524])).
% 4.95/5.02 cnf(1760,plain,
% 4.95/5.02 (P9(x17601,f16(x17602,x17601,f50(x17603,a1)),f50(x17603,a1))),
% 4.95/5.02 inference(rename_variables,[],[218])).
% 4.95/5.02 cnf(1763,plain,
% 4.95/5.02 (P9(f17(x17631,x17632,f50(x17633,a1)),x17631,f50(x17633,a1))),
% 4.95/5.02 inference(rename_variables,[],[221])).
% 4.95/5.02 cnf(1767,plain,
% 4.95/5.02 (~P5(f16(f37(f50(f47(a48),a1)),f41(f5(a19,a8,a12,f47(a48),a46),f28(a3,a46,a12),a46,f47(a48)),f50(f47(a48),a1)),f41(f5(a19,a8,a12,f47(a48),a46),f28(a3,a46,a12),a46,f47(a48)),a48)),
% 4.95/5.02 inference(scs_inference,[],[184,709,221,1745,1749,218,171,187,162,1562,1598,1624,1360,801,1752,1754,1756,1302,872,644,443,153,149,146,130,524,525,485,493])).
% 4.95/5.02 cnf(1770,plain,
% 4.95/5.02 (P6(f13(x17701),x17702,x17701,f45(x17701))),
% 4.95/5.02 inference(rename_variables,[],[224])).
% 4.95/5.02 cnf(1773,plain,
% 4.95/5.02 (~P9(f40(x17731,x17732,x17733),f17(f17(x17734,f17(f37(f50(x17733,a1)),x17735,f50(x17733,a1)),f50(x17733,a1)),x17736,f50(x17733,a1)),f50(x17733,a1))),
% 4.95/5.02 inference(rename_variables,[],[1488])).
% 4.95/5.02 cnf(1774,plain,
% 4.95/5.02 (P6(f13(x17741),x17742,x17741,f45(x17741))),
% 4.95/5.02 inference(rename_variables,[],[224])).
% 4.95/5.02 cnf(1782,plain,
% 4.95/5.02 (P5(f40(x17821,f40(x17822,x17823,f47(x17824)),f47(x17824)),x17823,x17824)),
% 4.95/5.02 inference(scs_inference,[],[184,326,709,221,1745,1749,218,186,171,224,1770,187,309,162,1562,1598,1630,1624,1488,1360,745,801,1752,1754,1756,1302,872,715,644,443,153,149,146,130,524,525,485,493,587,679,625,526])).
% 4.95/5.02 cnf(1786,plain,
% 4.95/5.02 (P9(x17861,f16(x17861,x17862,f50(x17863,a1)),f50(x17863,a1))),
% 4.95/5.02 inference(rename_variables,[],[219])).
% 4.95/5.02 cnf(1792,plain,
% 4.95/5.02 (P22(f33(f33(f38(x17921),x17922),x17922))),
% 4.95/5.02 inference(rename_variables,[],[194])).
% 4.95/5.02 cnf(1795,plain,
% 4.95/5.02 (~P22(f42(x17951,f17(x17952,f17(f37(f50(x17953,a1)),x17954,f50(x17953,a1)),f50(x17953,a1)),x17953))),
% 4.95/5.02 inference(rename_variables,[],[1603])).
% 4.95/5.02 cnf(1796,plain,
% 4.95/5.02 (P9(f17(x17961,x17962,f50(x17963,a1)),x17961,f50(x17963,a1))),
% 4.95/5.02 inference(rename_variables,[],[221])).
% 4.95/5.02 cnf(1799,plain,
% 4.95/5.02 (~E(f55(x17991),x17991)),
% 4.95/5.02 inference(rename_variables,[],[711])).
% 4.95/5.02 cnf(1802,plain,
% 4.95/5.02 (~E(f55(x18021),x18021)),
% 4.95/5.02 inference(rename_variables,[],[711])).
% 4.95/5.02 cnf(1808,plain,
% 4.95/5.02 (P9(x18081,f16(x18082,x18081,f50(x18083,a1)),f50(x18083,a1))),
% 4.95/5.02 inference(rename_variables,[],[218])).
% 4.95/5.02 cnf(1811,plain,
% 4.95/5.02 (P9(f41(x18111,f17(x18112,x18113,f50(x18114,a1)),x18114,x18115),f17(f41(x18111,x18112,x18114,x18115),f41(x18111,x18113,x18114,x18115),f50(x18115,a1)),f50(x18115,a1))),
% 4.95/5.02 inference(rename_variables,[],[275])).
% 4.95/5.02 cnf(1814,plain,
% 4.95/5.02 (P9(f41(x18141,f17(x18142,x18143,f50(x18144,a1)),x18144,x18145),f17(f41(x18141,x18142,x18144,x18145),f41(x18141,x18143,x18144,x18145),f50(x18145,a1)),f50(x18145,a1))),
% 4.95/5.02 inference(rename_variables,[],[275])).
% 4.95/5.02 cnf(1817,plain,
% 4.95/5.02 (P9(f17(x18171,x18172,f50(x18173,a1)),x18171,f50(x18173,a1))),
% 4.95/5.02 inference(rename_variables,[],[221])).
% 4.95/5.02 cnf(1825,plain,
% 4.95/5.02 (~P6(f34(x18251),f29(f40(x18252,f39(f50(x18253,a1)),x18253),f4(f14(x18254),f45(x18254),x18255),x18255,x18254),x18253,x18256)),
% 4.95/5.02 inference(scs_inference,[],[184,194,326,239,711,1799,709,272,275,1811,196,221,1745,1749,1763,1796,218,1760,186,171,219,197,224,1770,187,309,162,1562,1598,1630,1603,1549,1624,1488,1360,745,1008,801,1752,1754,1756,1302,870,872,715,644,443,153,149,146,130,524,525,485,493,587,679,625,526,573,549,705,581,495,502,608,522,520,542,571,590,660,132])).
% 4.95/5.02 cnf(1830,plain,
% 4.95/5.02 (P9(f17(x18301,x18302,f50(x18303,a1)),x18301,f50(x18303,a1))),
% 4.95/5.02 inference(rename_variables,[],[221])).
% 4.95/5.02 cnf(1837,plain,
% 4.95/5.02 (~P9(f41(f5(a19,f5(f34(a12),a3,f45(a12),a12,a46),a12,f47(a48),a46),f28(a3,a46,a12),a46,f47(a48)),f41(f5(a19,a8,a12,f47(a48),a46),f28(a3,a46,a12),a46,f47(a48)),f50(f47(a48),a1))),
% 4.95/5.02 inference(scs_inference,[],[184,194,326,239,711,1799,709,272,275,1811,196,221,1745,1749,1763,1796,1817,1830,218,1760,1808,186,171,219,1786,197,203,224,1770,187,309,162,1562,1598,1630,1603,1549,1472,1624,1488,1773,1635,1360,745,1008,801,1752,1754,1756,1302,870,872,715,644,443,153,149,146,130,524,525,485,493,587,679,625,526,573,549,705,581,495,502,608,522,520,542,571,590,660,132,513,582,572,514,503])).
% 4.95/5.02 cnf(1843,plain,
% 4.95/5.02 (~E(f17(f55(f39(a1)),x18431,a1),f39(a1))),
% 4.95/5.02 inference(rename_variables,[],[1454])).
% 4.95/5.02 cnf(1850,plain,
% 4.95/5.02 (P9(f17(x18501,x18502,f50(x18503,a1)),x18502,f50(x18503,a1))),
% 4.95/5.02 inference(rename_variables,[],[220])).
% 4.95/5.02 cnf(1858,plain,
% 4.95/5.02 (~P22(f42(x18581,f17(x18582,f17(f37(f50(x18583,a1)),x18584,f50(x18583,a1)),f50(x18583,a1)),x18583))),
% 4.95/5.02 inference(rename_variables,[],[1603])).
% 4.95/5.02 cnf(1865,plain,
% 4.95/5.02 (~P22(f33(f33(f27(a2),a2),f10(x18651,x18652,x18653)))),
% 4.95/5.02 inference(scs_inference,[],[184,194,1792,326,239,711,1799,709,272,275,1811,1814,196,221,1745,1749,1763,1796,1817,1830,218,1760,1808,186,213,220,1850,171,219,1786,197,216,203,228,224,1770,187,309,362,162,168,1562,1598,1630,1603,1795,1549,1472,1624,1488,1773,1635,1673,1561,1360,1454,745,1008,801,1752,1754,1756,860,866,1302,870,872,715,644,443,153,149,146,130,524,525,485,493,587,679,625,526,573,549,705,581,495,502,608,522,520,542,571,590,660,132,513,582,572,514,503,652,435,498,497,539,559,477,613,439])).
% 4.95/5.02 cnf(1875,plain,
% 4.95/5.02 (P9(f41(x18751,f17(x18752,x18753,f50(x18754,a1)),x18754,x18755),f17(f41(x18751,x18752,x18754,x18755),f41(x18751,x18753,x18754,x18755),f50(x18755,a1)),f50(x18755,a1))),
% 4.95/5.02 inference(rename_variables,[],[275])).
% 4.95/5.02 cnf(1891,plain,
% 4.95/5.02 (P9(x18911,x18911,f50(x18912,a1))),
% 4.95/5.02 inference(rename_variables,[],[190])).
% 4.95/5.02 cnf(1899,plain,
% 4.95/5.02 (P9(x18991,f16(x18992,x18991,f50(x18993,a1)),f50(x18993,a1))),
% 4.95/5.02 inference(rename_variables,[],[218])).
% 4.95/5.02 cnf(1908,plain,
% 4.95/5.02 (P6(f13(x19081),x19082,x19081,f45(x19081))),
% 4.95/5.02 inference(rename_variables,[],[224])).
% 4.95/5.02 cnf(1914,plain,
% 4.95/5.02 (P9(x19141,f16(x19142,x19141,f50(x19143,a1)),f50(x19143,a1))),
% 4.95/5.02 inference(rename_variables,[],[218])).
% 4.95/5.02 cnf(1935,plain,
% 4.95/5.02 (~P20(f50(x19351,a1))),
% 4.95/5.02 inference(scs_inference,[],[184,194,1792,326,327,207,290,239,240,192,200,711,1799,1802,709,272,275,1811,1814,1875,196,221,1745,1749,1763,1796,1817,1830,218,1760,1808,1899,1914,186,190,1891,213,220,1850,355,171,219,1786,197,216,203,228,224,1770,1774,1908,187,309,362,162,168,166,1562,1598,1630,1603,1795,1858,1549,1472,1624,1488,1773,1635,1673,1592,735,1561,1470,1542,1360,1633,1066,1443,1454,1843,1457,836,745,1008,1308,1345,987,712,801,1752,1754,1756,860,866,1302,870,872,715,644,443,153,149,146,130,524,525,485,493,587,679,625,526,573,549,705,581,495,502,608,522,520,542,571,590,660,132,513,582,572,514,503,652,435,498,497,539,559,477,613,439,144,143,518,475,703,570,441,403,658,577,5,131,434,545,469,555,133,134,2,45,3,138,140,136,137,15,668,680,422,516,420,428])).
% 4.95/5.02 cnf(1956,plain,
% 4.95/5.02 (~E(f55(x19561),x19561)),
% 4.95/5.02 inference(rename_variables,[],[711])).
% 4.95/5.02 cnf(1967,plain,
% 4.95/5.02 (~P9(f16(f41(f5(a19,f5(f34(a12),a3,f45(a12),a12,a46),a12,f47(a48),a46),f28(a3,a46,a12),a46,f47(a48)),x19671,f50(f47(a48),a1)),f41(f5(a19,a8,a12,f47(a48),a46),f28(a3,a46,a12),a46,f47(a48)),f50(f47(a48),a1))),
% 4.95/5.02 inference(scs_inference,[],[711,1956,221,1782,1837,1508,1443,423,421,516,493,573])).
% 4.95/5.02 cnf(1992,plain,
% 4.95/5.02 (~P22(f42(f10(x19921,x19922,x19923),f33(f27(a2),a2),x19924))),
% 4.95/5.02 inference(scs_inference,[],[711,1956,180,221,218,186,197,224,309,1782,1865,1837,1642,1508,1935,1554,1683,1215,745,1443,870,872,423,421,516,493,573,705,587,502,524,520,625,154,485])).
% 4.95/5.02 cnf(2133,plain,
% 4.95/5.02 (P9(x21331,f16(x21332,x21331,f50(x21333,a1)),f50(x21333,a1))),
% 4.95/5.02 inference(rename_variables,[],[218])).
% 4.95/5.02 cnf(2137,plain,
% 4.95/5.02 (P9(f17(x21371,x21372,f50(x21373,a1)),x21372,f50(x21373,a1))),
% 4.95/5.02 inference(rename_variables,[],[220])).
% 4.95/5.02 cnf(2153,plain,
% 4.95/5.02 (P9(f17(x21531,x21532,f50(x21533,a1)),x21532,f50(x21533,a1))),
% 4.95/5.02 inference(rename_variables,[],[220])).
% 4.95/5.02 cnf(2166,plain,
% 4.95/5.02 (P5(x21661,x21661,x21662)),
% 4.95/5.02 inference(rename_variables,[],[712])).
% 4.95/5.02 cnf(2167,plain,
% 4.95/5.02 ($false),
% 4.95/5.02 inference(scs_inference,[],[292,169,712,2166,196,220,2137,2153,218,2133,265,193,228,367,1992,1967,1759,830,1767,776,1451,1782,1825,872,586,502,433,493,705,549,435,573,559,526,613,525,142,514]),
% 4.95/5.02 ['proof']).
% 4.95/5.02 % SZS output end Proof
% 4.95/5.02 % Total time :4.140000s
%------------------------------------------------------------------------------