TSTP Solution File: SWV827-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV827-1 : 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 : n020.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 21:35:24 EDT 2023
% Result : Unsatisfiable 3.01s 3.12s
% Output : CNFRefutation 3.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV827-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 04:24:13 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 2.94/3.08 %-------------------------------------------
% 2.94/3.08 % File :CSE---1.6
% 2.94/3.08 % Problem :theBenchmark
% 2.94/3.08 % Transform :cnf
% 2.94/3.08 % Format :tptp:raw
% 2.94/3.08 % Command :java -jar mcs_scs.jar %d %s
% 2.94/3.08
% 2.94/3.08 % Result :Theorem 2.340000s
% 2.94/3.08 % Output :CNFRefutation 2.340000s
% 2.94/3.08 %-------------------------------------------
% 2.94/3.08 %------------------------------------------------------------------------------
% 2.94/3.08 % File : SWV827-1 : TPTP v8.1.2. Released v4.1.0.
% 2.94/3.08 % Domain : Software Verification
% 2.94/3.08 % Problem : Hoare logic with procedures 168_1
% 2.94/3.08 % Version : Especial.
% 2.94/3.08 % English : Completeness is taken relative to completeness of the underlying
% 2.94/3.08 % logic. Two versions of completeness proof: nested single recursion
% 2.94/3.08 % and simultaneous recursion in call rule.
% 2.94/3.08
% 2.94/3.08 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 2.94/3.08 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 2.94/3.08 % Source : [Nip10]
% 2.94/3.08 % Names : Hoare-168_1 [Nip10]
% 2.94/3.08
% 2.94/3.08 % Status : Unsatisfiable
% 2.94/3.08 % Rating : 0.43 v8.1.0, 0.26 v7.5.0, 0.32 v7.4.0, 0.24 v7.3.0, 0.17 v7.0.0, 0.27 v6.4.0, 0.33 v6.3.0, 0.27 v6.2.0, 0.60 v6.1.0, 0.57 v6.0.0, 0.50 v5.5.0, 0.80 v5.4.0, 0.85 v5.3.0, 0.89 v5.2.0, 0.81 v5.1.0, 0.82 v5.0.0, 0.79 v4.1.0
% 2.94/3.08 % Syntax : Number of clauses : 483 ( 143 unt; 39 nHn; 241 RR)
% 2.94/3.08 % Number of literals : 1018 ( 291 equ; 523 neg)
% 2.94/3.08 % Maximal clause size : 6 ( 2 avg)
% 2.94/3.08 % Maximal term depth : 9 ( 2 avg)
% 2.94/3.08 % Number of predicates : 23 ( 22 usr; 0 prp; 1-9 aty)
% 2.94/3.08 % Number of functors : 62 ( 62 usr; 14 con; 0-6 aty)
% 2.94/3.08 % Number of variables : 1786 ( 331 sgn)
% 2.94/3.08 % SPC : CNF_UNS_RFO_SEQ_NHN
% 2.94/3.08
% 2.94/3.08 % Comments :
% 2.94/3.08 %------------------------------------------------------------------------------
% 2.94/3.08 cnf(cls_mem__def_0,axiom,
% 2.94/3.08 ( hBOOL(hAPP(V_S,V_x))
% 2.94/3.08 | ~ hBOOL(c_in(V_x,V_S,T_a)) ) ).
% 2.94/3.08
% 2.94/3.08 cnf(cls_COMBB__def_0,axiom,
% 2.94/3.09 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_COMBC__def_0,axiom,
% 3.01/3.09 c_COMBC(V_P,V_Q,V_R,T_b,T_c,T_a) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_COMBI__def_0,axiom,
% 3.01/3.09 hAPP(c_COMBI(T_a),V_P) = V_P ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_COMBK__def_0,axiom,
% 3.01/3.09 hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_COMBS__def_0,axiom,
% 3.01/3.09 c_COMBS(V_P,V_Q,V_R,T_b,T_c,T_a) = hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_inj__on__Un_3,axiom,
% 3.01/3.09 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),T_a,T_b)) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))
% 3.01/3.09 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b)
% 3.01/3.09 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 3.01/3.09 | c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_inj__on__Un_2,axiom,
% 3.01/3.09 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),T_a,T_b)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))
% 3.01/3.09 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_Diff__idemp_0,axiom,
% 3.01/3.09 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_eq__eqI_1,axiom,
% 3.01/3.09 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 3.01/3.09 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 3.01/3.09 | V_xa = V_y ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_eq__eqI_0,axiom,
% 3.01/3.09 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 3.01/3.09 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 3.01/3.09 | V_x_H = V_y_H ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_Max__mono_0,axiom,
% 3.01/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 3.01/3.09 | c_lessequals(c_Finite__Set_Olinorder__class_OMax(V_M,T_a),c_Finite__Set_Olinorder__class_OMax(V_N,T_a),T_a)
% 3.01/3.09 | ~ c_Finite__Set_Ofinite(V_N,T_a)
% 3.01/3.09 | V_M = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.01/3.09 | ~ c_lessequals(V_M,V_N,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_lessThan__subset__iff_1,axiom,
% 3.01/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 3.01/3.09 | c_lessequals(c_SetInterval_Oord__class_OlessThan(V_x,T_a),c_SetInterval_Oord__class_OlessThan(V_y,T_a),tc_fun(T_a,tc_bool))
% 3.01/3.09 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_lessThan__subset__iff_0,axiom,
% 3.01/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 3.01/3.09 | c_lessequals(V_x,V_y,T_a)
% 3.01/3.09 | ~ c_lessequals(c_SetInterval_Oord__class_OlessThan(V_x,T_a),c_SetInterval_Oord__class_OlessThan(V_y,T_a),tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_image__diff__subset_0,axiom,
% 3.01/3.09 c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_Un__left__commute_0,axiom,
% 3.01/3.09 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_C)) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_Un__assoc_0,axiom,
% 3.01/3.09 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_sup__assoc_0,axiom,
% 3.01/3.09 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.01/3.09 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_sup__left__commute_0,axiom,
% 3.01/3.09 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.01/3.09 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)) ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 3.01/3.09 ( ~ class_Lattices_Olattice(T_a)
% 3.01/3.09 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)) ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 3.01/3.09 ( ~ class_Lattices_Olattice(T_a)
% 3.01/3.09 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_IntE_1,axiom,
% 3.01/3.09 ( hBOOL(c_in(V_c,V_B,T_a))
% 3.01/3.09 | ~ hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_IntE_0,axiom,
% 3.01/3.09 ( hBOOL(c_in(V_c,V_A,T_a))
% 3.01/3.09 | ~ hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_inj__on__contraD_0,axiom,
% 3.01/3.09 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 3.01/3.09 | ~ hBOOL(c_in(V_y,V_A,T_a))
% 3.01/3.09 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 3.01/3.09 | V_x = V_y
% 3.01/3.09 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_inj__on__iff_0,axiom,
% 3.01/3.09 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 3.01/3.09 | ~ hBOOL(c_in(V_y,V_A,T_a))
% 3.01/3.09 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 3.01/3.09 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 3.01/3.09 | V_x = V_y ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_inj__on__def_0,axiom,
% 3.01/3.09 ( hAPP(V_f,V_x) != hAPP(V_f,V_xa)
% 3.01/3.09 | ~ hBOOL(c_in(V_xa,V_A,T_a))
% 3.01/3.09 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 3.01/3.09 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 3.01/3.09 | V_x = V_xa ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_inj__onD_0,axiom,
% 3.01/3.09 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 3.01/3.09 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 3.01/3.09 | V_x = V_y
% 3.01/3.09 | ~ hBOOL(c_in(V_y,V_A,T_a))
% 3.01/3.09 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_Int__absorb2_0,axiom,
% 3.01/3.09 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = V_A
% 3.01/3.09 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_Int__absorb1_0,axiom,
% 3.01/3.09 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = V_B
% 3.01/3.09 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_le__iff__inf_0,axiom,
% 3.01/3.09 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.01/3.09 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = V_x
% 3.01/3.09 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_le__iff__inf_1,axiom,
% 3.01/3.09 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.01/3.09 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) != V_x
% 3.01/3.09 | c_lessequals(V_x,V_y,T_a) ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_inf__absorb2_0,axiom,
% 3.01/3.09 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.01/3.09 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = V_y
% 3.01/3.09 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_Un__subset__iff_2,axiom,
% 3.01/3.09 ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool))
% 3.01/3.09 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 3.01/3.09 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_Un__upper2_0,axiom,
% 3.01/3.09 c_lessequals(V_B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_Un__upper1_0,axiom,
% 3.01/3.09 c_lessequals(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_Un__least_0,axiom,
% 3.01/3.09 ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool))
% 3.01/3.09 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 3.01/3.09 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_le__supI_0,axiom,
% 3.01/3.09 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.01/3.09 | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a)
% 3.01/3.09 | ~ c_lessequals(V_b,V_x,T_a)
% 3.01/3.09 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_sup__ge1_0,axiom,
% 3.01/3.09 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.01/3.09 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a) ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_sup__ge2_0,axiom,
% 3.01/3.09 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.01/3.09 | c_lessequals(V_y,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a) ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_sup__least_0,axiom,
% 3.01/3.09 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.01/3.09 | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z),V_x,T_a)
% 3.01/3.09 | ~ c_lessequals(V_z,V_x,T_a)
% 3.01/3.09 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_le__sup__iff_2,axiom,
% 3.01/3.09 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.01/3.09 | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a)
% 3.01/3.09 | ~ c_lessequals(V_y,V_z,T_a)
% 3.01/3.09 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 3.01/3.09 ( ~ class_Lattices_Olattice(T_a)
% 3.01/3.09 | c_lessequals(V_y,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a) ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 3.01/3.09 ( ~ class_Lattices_Olattice(T_a)
% 3.01/3.09 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a) ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_Int__commute_0,axiom,
% 3.01/3.09 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_inf__commute_0,axiom,
% 3.01/3.09 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.01/3.09 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x) ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_inf__sup__aci_I1_J_0,axiom,
% 3.01/3.09 ( ~ class_Lattices_Olattice(T_a)
% 3.01/3.09 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x) ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_Diff__partition_0,axiom,
% 3.01/3.09 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))) = V_B
% 3.01/3.09 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_lessThan__eq__iff_0,axiom,
% 3.01/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 3.01/3.09 | c_SetInterval_Oord__class_OlessThan(V_x,T_a) != c_SetInterval_Oord__class_OlessThan(V_y,T_a)
% 3.01/3.09 | V_x = V_y ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_com_Osimps_I14_J_0,axiom,
% 3.01/3.09 c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_distrib__inf__le_0,axiom,
% 3.01/3.09 ( ~ class_Lattices_Olattice(T_a)
% 3.01/3.09 | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)),T_a) ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_Diff__subset_0,axiom,
% 3.01/3.09 c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_Un__Int__crazy_0,axiom,
% 3.01/3.09 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_A)) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_image__constant__conv_0,axiom,
% 3.01/3.09 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)) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_CollectI_0,axiom,
% 3.01/3.09 ( hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a))
% 3.01/3.09 | ~ hBOOL(hAPP(V_P,V_a)) ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_mem__def_1,axiom,
% 3.01/3.09 ( hBOOL(c_in(V_x,V_S,T_a))
% 3.01/3.09 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 3.01/3.09
% 3.01/3.09 cnf(cls_INT__extend__simps_I4_J_0,axiom,
% 3.01/3.09 c_HOL_Ominus__class_Ominus(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_inj__on__insert_2,axiom,
% 3.01/3.10 ( c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a,T_b)
% 3.01/3.10 | hBOOL(c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),T_a,T_b),T_b))
% 3.01/3.10 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_sup__idem_0,axiom,
% 3.01/3.10 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.01/3.10 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_Un__absorb_0,axiom,
% 3.01/3.10 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_A) = V_A ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_Int__Collect_1,axiom,
% 3.01/3.10 ( hBOOL(hAPP(V_P,V_x))
% 3.01/3.10 | ~ hBOOL(c_in(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),T_a)) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_inf__sup__distrib2_0,axiom,
% 3.01/3.10 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 3.01/3.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_z),V_x)) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_inf__sup__distrib1_0,axiom,
% 3.01/3.10 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 3.01/3.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_Int__Un__distrib_0,axiom,
% 3.01/3.10 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C)) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_Int__Un__distrib2_0,axiom,
% 3.01/3.10 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)),V_A) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A)) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_inj__on__imageI_0,axiom,
% 3.01/3.10 ( c_Fun_Oinj__on(V_g,c_Set_Oimage(V_f,V_A,T_a,T_c),T_c,T_b)
% 3.01/3.10 | ~ c_Fun_Oinj__on(c_Fun_Ocomp(V_g,V_f,T_c,T_b,T_a),V_A,T_a,T_b) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_sup__fun__eq_0,axiom,
% 3.01/3.10 ( ~ class_Lattices_Olattice(T_b)
% 3.01/3.10 | hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,T_b)),V_f),V_g),v_x) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_b),hAPP(V_f,v_x)),hAPP(V_g,v_x)) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_Diff__triv_0,axiom,
% 3.01/3.10 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.01/3.10 | c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_image__constant_0,axiom,
% 3.01/3.10 ( c_Set_Oimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b) = hAPP(hAPP(c_Set_Oinsert(T_b),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)))
% 3.01/3.10 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_image__subset__iff_0,axiom,
% 3.01/3.10 ( hBOOL(c_in(hAPP(V_f,V_x),V_B,T_a))
% 3.01/3.10 | ~ hBOOL(c_in(V_x,V_A,T_b))
% 3.01/3.10 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_finite__surj_0,axiom,
% 3.01/3.10 ( c_Finite__Set_Ofinite(V_B,T_b)
% 3.01/3.10 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))
% 3.01/3.10 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_inj__on__image__Int_0,axiom,
% 3.01/3.10 ( c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b))
% 3.01/3.10 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 3.01/3.10 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 3.01/3.10 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_subset__insert__iff_0,axiom,
% 3.01/3.10 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 3.01/3.10 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 3.01/3.10 | ~ c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_subset__insert__iff_3,axiom,
% 3.01/3.10 ( c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))
% 3.01/3.10 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 3.01/3.10 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_diff__single__insert_0,axiom,
% 3.01/3.10 ( c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))
% 3.01/3.10 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 3.01/3.10 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_fold1__def_0,axiom,
% 3.01/3.10 c_Finite__Set_Ofold1(V_f,V_A,T_a) = c_The(c_Finite__Set_Ofold1Set(V_f,V_A,T_a),T_a) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_le__SUPI_0,axiom,
% 3.01/3.10 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b)
% 3.01/3.10 | c_lessequals(hAPP(V_M,V_i),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_a,T_b),T_b)
% 3.01/3.10 | ~ hBOOL(c_in(V_i,V_A,T_a)) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_UN__upper_0,axiom,
% 3.01/3.10 ( c_lessequals(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool))
% 3.01/3.10 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_insert__Diff1_0,axiom,
% 3.01/3.10 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.01/3.10 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_image__ident_0,axiom,
% 3.01/3.10 c_Set_Oimage(c_COMBI(T_a),V_Y,T_a,T_a) = V_Y ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_com_Osimps_I17_J_0,axiom,
% 3.01/3.10 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSKIP ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_below__fold1__iff_0,axiom,
% 3.01/3.10 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.01/3.10 | c_lessequals(V_x,V_xa,T_a)
% 3.01/3.10 | ~ hBOOL(c_in(V_xa,V_A,T_a))
% 3.01/3.10 | ~ c_lessequals(V_x,c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A,T_a),T_a)
% 3.01/3.10 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.01/3.10 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_finite__Diff_0,axiom,
% 3.01/3.10 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 3.01/3.10 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_inj__on__diff_0,axiom,
% 3.01/3.10 ( c_Fun_Oinj__on(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)
% 3.01/3.10 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_Inf__insert_0,axiom,
% 3.01/3.10 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 3.01/3.10 | c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),c_Complete__Lattice_OInf__class_OInf(V_A,T_a)) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_Collect__def_0,axiom,
% 3.01/3.10 c_Collect(V_P,T_a) = V_P ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_fun__left__comm__idem__sup_0,axiom,
% 3.01/3.10 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.01/3.10 | c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Oupper__semilattice__class_Osup(T_a),T_a,T_a) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_com_Osimps_I3_J_1,axiom,
% 3.01/3.10 ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H)
% 3.01/3.10 | V_com2 = V_com2_H ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_com_Osimps_I3_J_0,axiom,
% 3.01/3.10 ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H)
% 3.01/3.10 | V_com1 = V_com1_H ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_com_Osimps_I46_J_0,axiom,
% 3.01/3.10 c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_Sup__insert_0,axiom,
% 3.01/3.10 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 3.01/3.10 | c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),c_Complete__Lattice_OSup__class_OSup(V_A,T_a)) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_com_Osimps_I44_J_0,axiom,
% 3.01/3.10 c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_finite__Diff2_0,axiom,
% 3.01/3.10 ( c_Finite__Set_Ofinite(V_A,T_a)
% 3.01/3.10 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 3.01/3.10 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_finite__Diff2_1,axiom,
% 3.01/3.10 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 3.01/3.10 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 3.01/3.10 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_inj__on__id2_0,axiom,
% 3.01/3.10 c_Fun_Oinj__on(c_COMBI(T_a),V_A,T_a,T_a) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_finite__UN_0,axiom,
% 3.01/3.10 ( c_Finite__Set_Ofinite(hAPP(V_B,V_x),T_b)
% 3.01/3.10 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 3.01/3.10 | ~ c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),T_b)
% 3.01/3.10 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_UNION__empty__conv_I2_J_0,axiom,
% 3.01/3.10 ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.01/3.10 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.01/3.10 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_com_Osimps_I52_J_0,axiom,
% 3.01/3.10 c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_DiffE_0,axiom,
% 3.01/3.10 ( hBOOL(c_in(V_c,V_A,T_a))
% 3.01/3.10 | ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_inj__on__Un__image__eq__iff_0,axiom,
% 3.01/3.10 ( c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b)
% 3.01/3.10 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b)
% 3.01/3.10 | V_A = V_B ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_DiffE_1,axiom,
% 3.01/3.10 ( ~ hBOOL(c_in(V_c,V_B,T_a))
% 3.01/3.10 | ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_UN__subset__iff_0,axiom,
% 3.01/3.10 ( c_lessequals(hAPP(V_A,V_x),V_B,tc_fun(T_a,tc_bool))
% 3.01/3.10 | ~ hBOOL(c_in(V_x,V_I,T_b))
% 3.01/3.10 | ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_K__record__comp_0,axiom,
% 3.01/3.10 hAPP(c_Fun_Ocomp(c_COMBK(V_c,T_b,T_c),V_f,T_c,T_b,t_a),v_x) = V_c ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_com_Osimps_I45_J_0,axiom,
% 3.01/3.10 c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_UN__absorb_0,axiom,
% 3.01/3.10 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),hAPP(V_A,V_k)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool))) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool))
% 3.01/3.10 | ~ hBOOL(c_in(V_k,V_I,T_a)) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_com_Osimps_I4_J_2,axiom,
% 3.01/3.10 ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)
% 3.01/3.10 | V_com2 = V_com2_H ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_com_Osimps_I4_J_1,axiom,
% 3.01/3.10 ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)
% 3.01/3.10 | V_com1 = V_com1_H ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_com_Osimps_I4_J_0,axiom,
% 3.01/3.10 ( c_Com_Ocom_OCond(V_fun,V_com1,V_com2) != c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)
% 3.01/3.10 | V_fun = V_fun_H ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_image__Int__subset_0,axiom,
% 3.01/3.10 c_lessequals(c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),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)) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_finite__Un_2,axiom,
% 3.01/3.10 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)
% 3.01/3.10 | ~ c_Finite__Set_Ofinite(V_G,T_a)
% 3.01/3.10 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_finite__UnI_0,axiom,
% 3.01/3.10 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)
% 3.01/3.10 | ~ c_Finite__Set_Ofinite(V_G,T_a)
% 3.01/3.10 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_atLeastatMost__subset__iff_3,axiom,
% 3.01/3.10 ( ~ class_Orderings_Oorder(T_a)
% 3.01/3.10 | c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))
% 3.01/3.10 | ~ c_lessequals(V_b,V_d,T_a)
% 3.01/3.10 | ~ c_lessequals(V_c,V_a,T_a) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_atLeastatMost__subset__iff_1,axiom,
% 3.01/3.10 ( ~ class_Orderings_Oorder(T_a)
% 3.01/3.10 | c_lessequals(V_b,V_d,T_a)
% 3.01/3.10 | ~ c_lessequals(V_a,V_b,T_a)
% 3.01/3.10 | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_atLeastatMost__subset__iff_0,axiom,
% 3.01/3.10 ( ~ class_Orderings_Oorder(T_a)
% 3.01/3.10 | c_lessequals(V_c,V_a,T_a)
% 3.01/3.10 | ~ c_lessequals(V_a,V_b,T_a)
% 3.01/3.10 | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_Un__Int__assoc__eq_0,axiom,
% 3.01/3.10 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) != hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))
% 3.01/3.10 | c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_Un__Int__assoc__eq_1,axiom,
% 3.01/3.10 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))
% 3.01/3.10 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_o__apply_0,axiom,
% 3.01/3.10 hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(V_f,hAPP(V_g,V_x)) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_o__eq__dest__lhs_0,axiom,
% 3.01/3.10 hAPP(V_a,hAPP(V_b,V_v)) = hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_atLeastatMost__subset__iff_2,axiom,
% 3.01/3.10 ( ~ class_Orderings_Oorder(T_a)
% 3.01/3.10 | c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))
% 3.01/3.10 | c_lessequals(V_a,V_b,T_a) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_sup1E_0,axiom,
% 3.01/3.10 ( hBOOL(hAPP(V_B,V_x))
% 3.01/3.10 | hBOOL(hAPP(V_A,V_x))
% 3.01/3.10 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_sup1CI_0,axiom,
% 3.01/3.10 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))
% 3.01/3.10 | ~ hBOOL(hAPP(V_B,V_x)) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_sup1CI_1,axiom,
% 3.01/3.10 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))
% 3.01/3.10 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_endo__inj__surj_0,axiom,
% 3.01/3.10 ( c_Set_Oimage(V_f,V_A,T_a,T_a) = V_A
% 3.01/3.10 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_a)
% 3.01/3.10 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_a),V_A,tc_fun(T_a,tc_bool))
% 3.01/3.10 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_UnE_0,axiom,
% 3.01/3.10 ( hBOOL(c_in(V_c,V_B,T_a))
% 3.01/3.10 | hBOOL(c_in(V_c,V_A,T_a))
% 3.01/3.10 | ~ hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_inf__sup__aci_I2_J_0,axiom,
% 3.01/3.10 ( ~ class_Lattices_Olattice(T_a)
% 3.01/3.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_inf__sup__aci_I3_J_0,axiom,
% 3.01/3.10 ( ~ class_Lattices_Olattice(T_a)
% 3.01/3.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_inf__left__commute_0,axiom,
% 3.01/3.10 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.01/3.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_inf__assoc_0,axiom,
% 3.01/3.10 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.01/3.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_Int__assoc_0,axiom,
% 3.01/3.10 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_Int__left__commute_0,axiom,
% 3.01/3.10 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C)) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_UNION__empty__conv_I1_J_0,axiom,
% 3.01/3.10 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))
% 3.01/3.10 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.01/3.10 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_finite__Un_0,axiom,
% 3.01/3.10 ( c_Finite__Set_Ofinite(V_F,T_a)
% 3.01/3.10 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_finite__Un_1,axiom,
% 3.01/3.10 ( c_Finite__Set_Ofinite(V_G,T_a)
% 3.01/3.10 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_UN__extend__simps_I2_J_0,axiom,
% 3.01/3.10 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool))),V_B) = V_B ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_UN__extend__simps_I3_J_0,axiom,
% 3.01/3.10 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool))) = V_A ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_com_Osimps_I16_J_0,axiom,
% 3.01/3.10 c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H,V_com_H) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_Diff__Int__distrib_0,axiom,
% 3.01/3.10 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_B),tc_fun(T_a,tc_bool)) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_Diff__Int__distrib2_0,axiom,
% 3.01/3.10 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),V_C) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_Diff__mono_0,axiom,
% 3.01/3.10 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 3.01/3.10 | ~ c_lessequals(V_D,V_B,tc_fun(T_a,tc_bool))
% 3.01/3.10 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_disjoint__iff__not__equal_0,axiom,
% 3.01/3.10 ( ~ hBOOL(c_in(V_x,V_B,T_a))
% 3.01/3.10 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 3.01/3.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_distrib__sup__le_0,axiom,
% 3.01/3.10 ( ~ class_Lattices_Olattice(T_a)
% 3.01/3.10 | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)),T_a) ) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_Diff__Int2_0,axiom,
% 3.01/3.10 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),V_B,tc_fun(T_a,tc_bool)) ).
% 3.01/3.10
% 3.01/3.10 cnf(cls_sup__inf__absorb_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Olattice(T_a)
% 3.01/3.11 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)) = V_x ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_equalityI_0,axiom,
% 3.01/3.11 ( V_A = V_B
% 3.01/3.11 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 3.01/3.11 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_set__eq__subset_2,axiom,
% 3.01/3.11 ( V_A = V_B
% 3.01/3.11 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 3.01/3.11 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_order__eq__iff_2,axiom,
% 3.01/3.11 ( ~ class_Orderings_Oorder(T_a)
% 3.01/3.11 | V_x = V_y
% 3.01/3.11 | ~ c_lessequals(V_y,V_x,T_a)
% 3.01/3.11 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_order__antisym_0,axiom,
% 3.01/3.11 ( ~ class_Orderings_Oorder(T_a)
% 3.01/3.11 | V_x = V_y
% 3.01/3.11 | ~ c_lessequals(V_y,V_x,T_a)
% 3.01/3.11 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_order__antisym__conv_0,axiom,
% 3.01/3.11 ( ~ class_Orderings_Oorder(T_a)
% 3.01/3.11 | V_x = V_y
% 3.01/3.11 | ~ c_lessequals(V_x,V_y,T_a)
% 3.01/3.11 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_inf__sup__absorb_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Olattice(T_a)
% 3.01/3.11 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)) = V_x ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Un__Diff__Int_0,axiom,
% 3.01/3.11 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)) = V_A ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_sup__absorb1_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.01/3.11 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) = V_x
% 3.01/3.11 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_le__iff__sup_1,axiom,
% 3.01/3.11 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.01/3.11 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) != V_y
% 3.01/3.11 | c_lessequals(V_x,V_y,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_le__iff__sup_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.01/3.11 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) = V_y
% 3.01/3.11 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Un__absorb1_0,axiom,
% 3.01/3.11 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) = V_B
% 3.01/3.11 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Un__absorb2_0,axiom,
% 3.01/3.11 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) = V_A
% 3.01/3.11 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_CollectD_0,axiom,
% 3.01/3.11 ( hBOOL(hAPP(V_P,V_a))
% 3.01/3.11 | ~ hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Diff__iff_2,axiom,
% 3.01/3.11 ( hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 3.01/3.11 | hBOOL(c_in(V_c,V_B,T_a))
% 3.01/3.11 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_DiffI_0,axiom,
% 3.01/3.11 ( hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 3.01/3.11 | hBOOL(c_in(V_c,V_B,T_a))
% 3.01/3.11 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_insert__subset_0,axiom,
% 3.01/3.11 ( hBOOL(c_in(V_x,V_B,T_a))
% 3.01/3.11 | ~ c_lessequals(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_SUP__const_0,axiom,
% 3.01/3.11 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b)
% 3.01/3.11 | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_M,T_b,T_a),T_a,T_b) = V_M
% 3.01/3.11 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_insert__image_0,axiom,
% 3.01/3.11 ( hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_a,T_b)) = c_Set_Oimage(V_f,V_A,T_a,T_b)
% 3.01/3.11 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_subset__insert__iff_2,axiom,
% 3.01/3.11 ( c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))
% 3.01/3.11 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.01/3.11 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_subset__insert__iff_1,axiom,
% 3.01/3.11 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.01/3.11 | hBOOL(c_in(V_x,V_A,T_a))
% 3.01/3.11 | ~ c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_subset__insert_1,axiom,
% 3.01/3.11 ( c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))
% 3.01/3.11 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.01/3.11 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_subset__insert_0,axiom,
% 3.01/3.11 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.01/3.11 | ~ c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))
% 3.01/3.11 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Int__insert__right_1,axiom,
% 3.01/3.11 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)
% 3.01/3.11 | hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Int__insert__left_1,axiom,
% 3.01/3.11 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)),V_C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)
% 3.01/3.11 | hBOOL(c_in(V_a,V_C,T_a)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_UN__iff_2,axiom,
% 3.01/3.11 ( hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),T_a))
% 3.01/3.11 | ~ hBOOL(c_in(V_b,hAPP(V_B,V_x),T_a))
% 3.01/3.11 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_UN__I_0,axiom,
% 3.01/3.11 ( hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),T_b))
% 3.01/3.11 | ~ hBOOL(c_in(V_b,hAPP(V_B,V_a),T_b))
% 3.01/3.11 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Un__Diff__cancel2_0,axiom,
% 3.01/3.11 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))),V_A) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Un__Diff__cancel_0,axiom,
% 3.01/3.11 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_fun__diff__def_0,axiom,
% 3.01/3.11 ( ~ class_HOL_Ominus(T_b)
% 3.01/3.11 | hAPP(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(t_a,T_b)),v_x) = c_HOL_Ominus__class_Ominus(hAPP(V_A,v_x),hAPP(V_B,v_x),T_b) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Int__subset__iff_1,axiom,
% 3.01/3.11 ( c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 3.01/3.11 | ~ c_lessequals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Int__subset__iff_0,axiom,
% 3.01/3.11 ( c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool))
% 3.01/3.11 | ~ c_lessequals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_le__infE_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.01/3.11 | c_lessequals(V_x,V_a,T_a)
% 3.01/3.11 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_le__infE_1,axiom,
% 3.01/3.11 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.01/3.11 | c_lessequals(V_x,V_b,T_a)
% 3.01/3.11 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_le__infI1_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.01/3.11 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a)
% 3.01/3.11 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_le__infI2_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.01/3.11 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a)
% 3.01/3.11 | ~ c_lessequals(V_b,V_x,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_le__inf__iff_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.01/3.11 | c_lessequals(V_x,V_y,T_a)
% 3.01/3.11 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_le__inf__iff_1,axiom,
% 3.01/3.11 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.01/3.11 | c_lessequals(V_x,V_z,T_a)
% 3.01/3.11 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Un__Diff_0,axiom,
% 3.01/3.11 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool))) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_complete__lattice_OInf__lower_0,axiom,
% 3.01/3.11 ( hBOOL(hAPP(hAPP(V_less__eq,hAPP(V_Inf,V_A)),V_x))
% 3.01/3.11 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 3.01/3.11 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_complete__lattice_OSup__upper_0,axiom,
% 3.01/3.11 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),hAPP(V_Sup,V_A)))
% 3.01/3.11 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 3.01/3.11 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Un__commute_0,axiom,
% 3.01/3.11 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_sup__commute_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.01/3.11 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Olattice(T_a)
% 3.01/3.11 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_com_Osimps_I5_J_0,axiom,
% 3.01/3.11 ( c_Com_Ocom_OWhile(V_fun,V_com) != c_Com_Ocom_OWhile(V_fun_H,V_com_H)
% 3.01/3.11 | V_fun = V_fun_H ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_com_Osimps_I5_J_1,axiom,
% 3.01/3.11 ( c_Com_Ocom_OWhile(V_fun,V_com) != c_Com_Ocom_OWhile(V_fun_H,V_com_H)
% 3.01/3.11 | V_com = V_com_H ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Un__left__absorb_0,axiom,
% 3.01/3.11 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_sup__left__idem_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.01/3.11 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Olattice(T_a)
% 3.01/3.11 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_comp__inj__on_0,axiom,
% 3.01/3.11 ( c_Fun_Oinj__on(c_Fun_Ocomp(V_g,V_f,T_b,T_c,T_a),V_A,T_a,T_c)
% 3.01/3.11 | ~ c_Fun_Oinj__on(V_g,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b,T_c)
% 3.01/3.11 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_com_Osimps_I15_J_0,axiom,
% 3.01/3.11 c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_SUP1__iff_2,axiom,
% 3.01/3.11 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))
% 3.01/3.11 | ~ hBOOL(hAPP(hAPP(V_B,V_x),V_b))
% 3.01/3.11 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_SUP1__I_0,axiom,
% 3.01/3.11 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))
% 3.01/3.11 | ~ hBOOL(hAPP(hAPP(V_B,V_a),V_b))
% 3.01/3.11 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Diff__disjoint_0,axiom,
% 3.01/3.11 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_com_Osimps_I53_J_0,axiom,
% 3.01/3.11 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OCond(V_fun,V_com1,V_com2) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_finite_0,axiom,
% 3.01/3.11 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a)
% 3.01/3.11 | c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Int__Collect_0,axiom,
% 3.01/3.11 ( hBOOL(c_in(V_x,V_A,T_a))
% 3.01/3.11 | ~ hBOOL(c_in(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),T_a)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_inj__on__insert_1,axiom,
% 3.01/3.11 ( ~ hBOOL(c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),T_a,T_b),T_b))
% 3.01/3.11 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a,T_b) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_insert__Diff__if_1,axiom,
% 3.01/3.11 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))
% 3.01/3.11 | hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_inf1E_1,axiom,
% 3.01/3.11 ( hBOOL(hAPP(V_B,V_x))
% 3.01/3.11 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_inf1E_0,axiom,
% 3.01/3.11 ( hBOOL(hAPP(V_A,V_x))
% 3.01/3.11 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_finite__surj__inj_0,axiom,
% 3.01/3.11 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_a)
% 3.01/3.11 | ~ c_lessequals(V_A,c_Set_Oimage(V_f,V_A,T_a,T_a),tc_fun(T_a,tc_bool))
% 3.01/3.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_inj__on__Un_1,axiom,
% 3.01/3.11 ( c_Fun_Oinj__on(V_f,V_B,T_a,T_b)
% 3.01/3.11 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_inj__on__Un_0,axiom,
% 3.01/3.11 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 3.01/3.11 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_rev__image__eqI_0,axiom,
% 3.01/3.11 ( ~ hBOOL(c_in(V_x,V_A,T_aa))
% 3.01/3.11 | hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_image__iff_2,axiom,
% 3.01/3.11 ( ~ hBOOL(c_in(V_x,V_A,T_b))
% 3.01/3.11 | hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_image__eqI_0,axiom,
% 3.01/3.11 ( hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a))
% 3.01/3.11 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_imageI_0,axiom,
% 3.01/3.11 ( hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))
% 3.01/3.11 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Diff__subset__conv_1,axiom,
% 3.01/3.11 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
% 3.01/3.11 | ~ c_lessequals(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Diff__subset__conv_0,axiom,
% 3.01/3.11 ( c_lessequals(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool))
% 3.01/3.11 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_fun__left__comm__idem__inf_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.01/3.11 | c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Olower__semilattice__class_Oinf(T_a),T_a,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_finite__Int_1,axiom,
% 3.01/3.11 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)
% 3.01/3.11 | ~ c_Finite__Set_Ofinite(V_G,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_finite__Int_0,axiom,
% 3.01/3.11 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)
% 3.01/3.11 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_le__funD_0,axiom,
% 3.01/3.11 ( ~ class_HOL_Oord(T_b)
% 3.01/3.11 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)
% 3.01/3.11 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_sup__bot__left_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Obounded__lattice(T_a)
% 3.01/3.11 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_sup__bot__right_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Obounded__lattice(T_a)
% 3.01/3.11 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_inf__bot__left_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Obounded__lattice(T_a)
% 3.01/3.11 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_inf__bot__right_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Obounded__lattice(T_a)
% 3.01/3.11 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_bot__least_0,axiom,
% 3.01/3.11 ( ~ class_Orderings_Obot(T_a)
% 3.01/3.11 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_sup__eq__bot__eq1_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Obounded__lattice(T_a)
% 3.01/3.11 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_A),V_B) != c_Orderings_Obot__class_Obot(T_a)
% 3.01/3.11 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_sup__eq__bot__eq2_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Obounded__lattice(T_a)
% 3.01/3.11 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_A),V_B) != c_Orderings_Obot__class_Obot(T_a)
% 3.01/3.11 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Un__empty_2,axiom,
% 3.01/3.11 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_image__is__empty_0,axiom,
% 3.01/3.11 ( c_Set_Oimage(V_f,V_A,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.01/3.11 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_complete__lattice_OInf__empty_0,axiom,
% 3.01/3.11 ( hAPP(V_Inf,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_top
% 3.01/3.11 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_complete__lattice_OSup__empty_0,axiom,
% 3.01/3.11 ( hAPP(V_Sup,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_bot
% 3.01/3.11 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_empty__Collect__eq_0,axiom,
% 3.01/3.11 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Collect(V_P,T_a)
% 3.01/3.11 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_ex__in__conv_0,axiom,
% 3.01/3.11 ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_ball__empty_0,axiom,
% 3.01/3.11 ( hBOOL(hAPP(V_P,V_x))
% 3.01/3.11 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_empty__iff_0,axiom,
% 3.01/3.11 ~ hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_emptyE_0,axiom,
% 3.01/3.11 ~ hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_subset__empty_1,axiom,
% 3.01/3.11 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)) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_subset__empty_0,axiom,
% 3.01/3.11 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.01/3.11 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Collect__empty__eq_0,axiom,
% 3.01/3.11 ( c_Collect(V_P,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.01/3.11 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_empty__fold1SetE_0,axiom,
% 3.01/3.11 ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_x)) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_empty__Diff_0,axiom,
% 3.01/3.11 c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Un__empty__right_0,axiom,
% 3.01/3.11 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_A ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Un__empty__left_0,axiom,
% 3.01/3.11 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_B) = V_B ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Diff__cancel_0,axiom,
% 3.01/3.11 c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Diff__empty_0,axiom,
% 3.01/3.11 c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_finite_OemptyI_0,axiom,
% 3.01/3.11 c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Int__empty__right_0,axiom,
% 3.01/3.11 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Int__empty__left_0,axiom,
% 3.01/3.11 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_B) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_empty__subsetI_0,axiom,
% 3.01/3.11 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_empty__is__image_0,axiom,
% 3.01/3.11 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a)
% 3.01/3.11 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_image__empty_0,axiom,
% 3.01/3.11 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)) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_inj__on__empty_0,axiom,
% 3.01/3.11 c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_bex__empty_0,axiom,
% 3.01/3.11 ( ~ hBOOL(hAPP(V_P,V_x))
% 3.01/3.11 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Un__empty_1,axiom,
% 3.01/3.11 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.01/3.11 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Un__empty_0,axiom,
% 3.01/3.11 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.01/3.11 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_empty__is__image_1,axiom,
% 3.01/3.11 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) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_insert__Diff_0,axiom,
% 3.01/3.11 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool))) = V_A
% 3.01/3.11 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_image__constant__conv_1,axiom,
% 3.01/3.11 ( c_Set_Oimage(c_COMBK(V_c,T_a,T_b),V_A,T_b,T_a) = hAPP(hAPP(c_Set_Oinsert(T_a),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))
% 3.01/3.11 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Sup__binary_0,axiom,
% 3.01/3.11 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 3.01/3.11 | c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_subset__Un__eq_1,axiom,
% 3.01/3.11 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) != V_B
% 3.01/3.11 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_finite__imageI_0,axiom,
% 3.01/3.11 ( c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b)
% 3.01/3.11 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_bot__empty__eq_0,axiom,
% 3.01/3.11 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) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Min__antimono_0,axiom,
% 3.01/3.11 ( ~ class_Orderings_Olinorder(T_a)
% 3.01/3.11 | c_lessequals(c_Finite__Set_Olinorder__class_OMin(V_N,T_a),c_Finite__Set_Olinorder__class_OMin(V_M,T_a),T_a)
% 3.01/3.11 | ~ c_Finite__Set_Ofinite(V_N,T_a)
% 3.01/3.11 | V_M = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.01/3.11 | ~ c_lessequals(V_M,V_N,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_UN__insert_0,axiom,
% 3.01/3.11 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Set_Oinsert(T_b),V_a),V_A),V_B,T_b,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(V_B,V_a)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_fold1__belowI_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.01/3.11 | c_lessequals(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A,T_a),V_a,T_a)
% 3.01/3.11 | ~ hBOOL(c_in(V_a,V_A,T_a))
% 3.01/3.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Inf__lower_0,axiom,
% 3.01/3.11 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 3.01/3.11 | c_lessequals(c_Complete__Lattice_OInf__class_OInf(V_A,T_a),V_x,T_a)
% 3.01/3.11 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_atLeastatMost__empty__iff2_1,axiom,
% 3.01/3.11 ( ~ class_Orderings_Oorder(T_a)
% 3.01/3.11 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)
% 3.01/3.11 | c_lessequals(V_a,V_b,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_atLeastatMost__empty__iff2_0,axiom,
% 3.01/3.11 ( ~ class_Orderings_Oorder(T_a)
% 3.01/3.11 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)
% 3.01/3.11 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Int__insert__left_0,axiom,
% 3.01/3.11 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)),V_C) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))
% 3.01/3.11 | ~ hBOOL(c_in(V_a,V_C,T_a)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Int__insert__right_0,axiom,
% 3.01/3.11 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B))
% 3.01/3.11 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Un__mono_0,axiom,
% 3.01/3.11 ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_D),tc_fun(T_a,tc_bool))
% 3.01/3.11 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 3.01/3.11 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_inf__sup__ord_I1_J_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Olattice(T_a)
% 3.01/3.11 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_x,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_inf__sup__ord_I2_J_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Olattice(T_a)
% 3.01/3.11 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_y,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_inf__greatest_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.01/3.11 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a)
% 3.01/3.11 | ~ c_lessequals(V_x,V_z,T_a)
% 3.01/3.11 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_le__inf__iff_2,axiom,
% 3.01/3.11 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.01/3.11 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a)
% 3.01/3.11 | ~ c_lessequals(V_x,V_z,T_a)
% 3.01/3.11 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_le__infI_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.01/3.11 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a)
% 3.01/3.11 | ~ c_lessequals(V_x,V_b,T_a)
% 3.01/3.11 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_inf__le2_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.01/3.11 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_y,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_inf__le1_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.01/3.11 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_x,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Int__lower1_0,axiom,
% 3.01/3.11 c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_A,tc_fun(T_a,tc_bool)) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Int__lower2_0,axiom,
% 3.01/3.11 c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_B,tc_fun(T_a,tc_bool)) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Int__greatest_0,axiom,
% 3.01/3.11 ( c_lessequals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool))
% 3.01/3.11 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 3.01/3.11 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Int__subset__iff_2,axiom,
% 3.01/3.11 ( c_lessequals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool))
% 3.01/3.11 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 3.01/3.11 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_o__assoc_0,axiom,
% 3.01/3.11 c_Fun_Ocomp(V_f,c_Fun_Ocomp(V_g,V_h,T_d,T_c,T_a),T_c,T_b,T_a) = c_Fun_Ocomp(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_d),V_h,T_d,T_b,T_a) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_com_Osimps_I13_J_0,axiom,
% 3.01/3.11 c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_sup__inf__distrib2_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 3.01/3.11 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_z),V_x)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_sup__inf__distrib1_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 3.01/3.11 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Un__Int__distrib_0,axiom,
% 3.01/3.11 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_C)) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Un__Int__distrib2_0,axiom,
% 3.01/3.11 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)),V_A) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_A)) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_o__def_0,axiom,
% 3.01/3.11 hAPP(c_Fun_Ocomp(V_f,V_g,T_c,T_b,t_a),v_x) = hAPP(V_f,hAPP(V_g,v_x)) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_insert__subset_2,axiom,
% 3.01/3.11 ( c_lessequals(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool))
% 3.01/3.11 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.01/3.11 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_image__image_0,axiom,
% 3.01/3.11 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) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_inf__sup__aci_I4_J_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Olattice(T_a)
% 3.01/3.11 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_inf__left__idem_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.01/3.11 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Int__left__absorb_0,axiom,
% 3.01/3.11 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_fun__left__comm__idem_Ofun__left__idem_0,axiom,
% 3.01/3.11 ( hAPP(hAPP(V_f,V_x),hAPP(hAPP(V_f,V_x),V_z)) = hAPP(hAPP(V_f,V_x),V_z)
% 3.01/3.11 | ~ c_Finite__Set_Ofun__left__comm__idem(V_f,T_a,T_b) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_finite__Diff__insert_0,axiom,
% 3.01/3.11 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 3.01/3.11 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool)),T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_finite__Diff__insert_1,axiom,
% 3.01/3.11 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool)),T_a)
% 3.01/3.11 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_image__compose_0,axiom,
% 3.01/3.11 c_Set_Oimage(c_Fun_Ocomp(V_f,V_g,T_c,T_a,T_b),V_r,T_b,T_a) = c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_r,T_b,T_c),T_c,T_a) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_com_Osimps_I47_J_0,axiom,
% 3.01/3.11 c_Com_Ocom_OWhile(V_fun_H,V_com_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_UnCI_0,axiom,
% 3.01/3.11 ( hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))
% 3.01/3.11 | ~ hBOOL(c_in(V_c,V_B,T_a)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_UnCI_1,axiom,
% 3.01/3.11 ( hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))
% 3.01/3.11 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_inf__idem_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.01/3.11 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Int__absorb_0,axiom,
% 3.01/3.11 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_A) = V_A ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_le__sup__iff_1,axiom,
% 3.01/3.11 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.01/3.11 | c_lessequals(V_y,V_z,T_a)
% 3.01/3.11 | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_le__sup__iff_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.01/3.11 | c_lessequals(V_x,V_z,T_a)
% 3.01/3.11 | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_le__supI2_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.01/3.11 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),T_a)
% 3.01/3.11 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_le__supI1_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.01/3.11 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),T_a)
% 3.01/3.11 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_le__supE_1,axiom,
% 3.01/3.11 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.01/3.11 | c_lessequals(V_b,V_x,T_a)
% 3.01/3.11 | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_le__supE_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.01/3.11 | c_lessequals(V_a,V_x,T_a)
% 3.01/3.11 | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Un__subset__iff_0,axiom,
% 3.01/3.11 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 3.01/3.11 | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Un__subset__iff_1,axiom,
% 3.01/3.11 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 3.01/3.11 | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_Max__in_0,axiom,
% 3.01/3.11 ( ~ class_Orderings_Olinorder(T_a)
% 3.01/3.11 | hBOOL(c_in(c_Finite__Set_Olinorder__class_OMax(V_A,T_a),V_A,T_a))
% 3.01/3.11 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.01/3.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_inf__fun__eq_0,axiom,
% 3.01/3.11 ( ~ class_Lattices_Olattice(T_b)
% 3.01/3.11 | hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,T_b)),V_f),V_g),v_x) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_b),hAPP(V_f,v_x)),hAPP(V_g,v_x)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_xt1_I6_J_0,axiom,
% 3.01/3.11 ( ~ class_Orderings_Oorder(T_a)
% 3.01/3.11 | c_lessequals(V_z,V_x,T_a)
% 3.01/3.11 | ~ c_lessequals(V_z,V_y,T_a)
% 3.01/3.11 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_order__trans_0,axiom,
% 3.01/3.11 ( ~ class_Orderings_Opreorder(T_a)
% 3.01/3.11 | c_lessequals(V_x,V_z,T_a)
% 3.01/3.11 | ~ c_lessequals(V_y,V_z,T_a)
% 3.01/3.11 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_set__mp_0,axiom,
% 3.01/3.11 ( hBOOL(c_in(V_x,V_B,T_a))
% 3.01/3.11 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 3.01/3.11 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.11
% 3.01/3.11 cnf(cls_subsetD_0,axiom,
% 3.01/3.11 ( hBOOL(c_in(V_c,V_B,T_a))
% 3.01/3.11 | ~ hBOOL(c_in(V_c,V_A,T_a))
% 3.01/3.11 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.11
% 3.01/3.12 cnf(cls_equalityE_0,axiom,
% 3.01/3.12 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_set__rev__mp_0,axiom,
% 3.01/3.12 ( hBOOL(c_in(V_x,V_B,T_a))
% 3.01/3.12 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.01/3.12 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_subset__iff_0,axiom,
% 3.01/3.12 ( hBOOL(c_in(V_t,V_B,T_a))
% 3.01/3.12 | ~ hBOOL(c_in(V_t,V_A,T_a))
% 3.01/3.12 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_subset__refl_0,axiom,
% 3.01/3.12 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_subset__trans_0,axiom,
% 3.01/3.12 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 3.01/3.12 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 3.01/3.12 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_subset__inj__on_0,axiom,
% 3.01/3.12 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 3.01/3.12 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.01/3.12 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_predicate1D_0,axiom,
% 3.01/3.12 ( hBOOL(hAPP(V_Q,V_x))
% 3.01/3.12 | ~ hBOOL(hAPP(V_P,V_x))
% 3.01/3.12 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_order__eq__iff_0,axiom,
% 3.01/3.12 ( ~ class_Orderings_Oorder(T_a)
% 3.01/3.12 | c_lessequals(V_x,V_x,T_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_order__eq__refl_0,axiom,
% 3.01/3.12 ( ~ class_Orderings_Opreorder(T_a)
% 3.01/3.12 | c_lessequals(V_x,V_x,T_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_finite__subset_0,axiom,
% 3.01/3.12 ( c_Finite__Set_Ofinite(V_A,T_a)
% 3.01/3.12 | ~ c_Finite__Set_Ofinite(V_B,T_a)
% 3.01/3.12 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_rev__predicate1D_0,axiom,
% 3.01/3.12 ( hBOOL(hAPP(V_Q,V_x))
% 3.01/3.12 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
% 3.01/3.12 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_rev__finite__subset_0,axiom,
% 3.01/3.12 ( c_Finite__Set_Ofinite(V_A,T_a)
% 3.01/3.12 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.01/3.12 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_Int__mono_0,axiom,
% 3.01/3.12 ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_D),tc_fun(T_a,tc_bool))
% 3.01/3.12 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 3.01/3.12 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_Diff__Un_0,axiom,
% 3.01/3.12 c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool))) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_atLeastatMost__empty__iff_1,axiom,
% 3.01/3.12 ( ~ class_Orderings_Oorder(T_a)
% 3.01/3.12 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.01/3.12 | c_lessequals(V_a,V_b,T_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_atLeastatMost__empty__iff_0,axiom,
% 3.01/3.12 ( ~ class_Orderings_Oorder(T_a)
% 3.01/3.12 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.01/3.12 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_Int__Diff_0,axiom,
% 3.01/3.12 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool))) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_inj__on__image__set__diff_0,axiom,
% 3.01/3.12 ( c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))
% 3.01/3.12 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 3.01/3.12 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 3.01/3.12 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_Min__in_0,axiom,
% 3.01/3.12 ( ~ class_Orderings_Olinorder(T_a)
% 3.01/3.12 | hBOOL(c_in(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_A,T_a))
% 3.01/3.12 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.01/3.12 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_Int__Collect_2,axiom,
% 3.01/3.12 ( hBOOL(c_in(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),T_a))
% 3.01/3.12 | ~ hBOOL(hAPP(V_P,V_x))
% 3.01/3.12 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_o__eq__dest_0,axiom,
% 3.01/3.12 ( c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a) != c_Fun_Ocomp(V_c,V_d,T_d,T_b,T_a)
% 3.01/3.12 | hAPP(V_a,hAPP(V_b,V_v)) = hAPP(V_c,hAPP(V_d,V_v)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_comp__cong_0,axiom,
% 3.01/3.12 ( hAPP(V_f,hAPP(V_g,V_x)) != hAPP(V_f_H,hAPP(V_g_H,V_x_H))
% 3.01/3.12 | hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(c_Fun_Ocomp(V_f_H,V_g_H,T_d,T_a,T_e),V_x_H) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_Diff__Int_0,axiom,
% 3.01/3.12 c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool))) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_UN__Un_0,axiom,
% 3.01/3.12 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),V_M,T_b,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_b,tc_fun(T_a,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_B,V_M,T_b,tc_fun(T_a,tc_bool))) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_the__sym__eq__trivial_0,axiom,
% 3.01/3.12 c_The(c_fequal(V_x,T_a),T_a) = V_x ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_Min__le_0,axiom,
% 3.01/3.12 ( ~ class_Orderings_Olinorder(T_a)
% 3.01/3.12 | c_lessequals(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_x,T_a)
% 3.01/3.12 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 3.01/3.12 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_IntI_0,axiom,
% 3.01/3.12 ( hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))
% 3.01/3.12 | ~ hBOOL(c_in(V_c,V_B,T_a))
% 3.01/3.12 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_Int__iff_2,axiom,
% 3.01/3.12 ( hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))
% 3.01/3.12 | ~ hBOOL(c_in(V_c,V_B,T_a))
% 3.01/3.12 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_inf1I_0,axiom,
% 3.01/3.12 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))
% 3.01/3.12 | ~ hBOOL(hAPP(V_B,V_x))
% 3.01/3.12 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_fun__left__comm__idem_Ofun__comp__idem_0,axiom,
% 3.01/3.12 ( c_Fun_Ocomp(hAPP(V_f,V_x),hAPP(V_f,V_x),T_b,T_b,T_b) = hAPP(V_f,V_x)
% 3.01/3.12 | ~ c_Finite__Set_Ofun__left__comm__idem(V_f,T_a,T_b) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_double__diff_0,axiom,
% 3.01/3.12 ( c_HOL_Ominus__class_Ominus(V_B,c_HOL_Ominus__class_Ominus(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A
% 3.01/3.12 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 3.01/3.12 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_le__eqI_0,axiom,
% 3.01/3.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.01/3.12 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 3.01/3.12 | c_lessequals(V_y_H,V_x_H,T_a)
% 3.01/3.12 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_le__eqI_1,axiom,
% 3.01/3.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.01/3.12 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 3.01/3.12 | c_lessequals(V_y,V_x,T_a)
% 3.01/3.12 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_image__mono_0,axiom,
% 3.01/3.12 ( 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))
% 3.01/3.12 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_subset__image__iff_2,axiom,
% 3.01/3.12 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool))
% 3.01/3.12 | 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)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_ivl__disj__int_I4_J_0,axiom,
% 3.01/3.12 ( ~ class_Orderings_Oorder(T_a)
% 3.01/3.12 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OlessThan(V_l,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_finite__imageD_0,axiom,
% 3.01/3.12 ( c_Finite__Set_Ofinite(V_A,T_b)
% 3.01/3.12 | ~ c_Fun_Oinj__on(V_f,V_A,T_b,T_a)
% 3.01/3.12 | ~ c_Finite__Set_Ofinite(c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_Max__ge_0,axiom,
% 3.01/3.12 ( ~ class_Orderings_Olinorder(T_a)
% 3.01/3.12 | c_lessequals(V_x,c_Finite__Set_Olinorder__class_OMax(V_A,T_a),T_a)
% 3.01/3.12 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 3.01/3.12 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_image__Un_0,axiom,
% 3.01/3.12 c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_b,T_a)),c_Set_Oimage(V_f,V_B,T_b,T_a)) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_Sup__upper_0,axiom,
% 3.01/3.12 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 3.01/3.12 | c_lessequals(V_x,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a)
% 3.01/3.12 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_com_Osimps_I12_J_0,axiom,
% 3.01/3.12 c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_linorder__linear_0,axiom,
% 3.01/3.12 ( ~ class_Orderings_Olinorder(T_a)
% 3.01/3.12 | c_lessequals(V_y,V_x,T_a)
% 3.01/3.12 | c_lessequals(V_x,V_y,T_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_single__Diff__lessThan_0,axiom,
% 3.01/3.12 ( ~ class_Orderings_Oorder(T_a)
% 3.01/3.12 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a),V_k),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_SetInterval_Oord__class_OlessThan(V_k,T_a),tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_k),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_subset__insert__iff_4,axiom,
% 3.01/3.12 ( c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))
% 3.01/3.12 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.01/3.12 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_Diff__insert__absorb_0,axiom,
% 3.01/3.12 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)) = V_A
% 3.01/3.12 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_Inf__binary_0,axiom,
% 3.01/3.12 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 3.01/3.12 | c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),T_a) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_insert__mono_0,axiom,
% 3.01/3.12 ( c_lessequals(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_C),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_D),tc_fun(T_a,tc_bool))
% 3.01/3.12 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_insert__iff_2,axiom,
% 3.01/3.12 ( hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_A),T_a))
% 3.01/3.12 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_insertCI_0,axiom,
% 3.01/3.12 ( hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_B),T_a))
% 3.01/3.12 | ~ hBOOL(c_in(V_a,V_B,T_a)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_image__insert_0,axiom,
% 3.01/3.12 c_Set_Oimage(V_f,hAPP(hAPP(c_Set_Oinsert(T_b),V_a),V_B),T_b,T_a) = hAPP(hAPP(c_Set_Oinsert(T_a),hAPP(V_f,V_a)),c_Set_Oimage(V_f,V_B,T_b,T_a)) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_complete__lattice_OInf__insert_0,axiom,
% 3.01/3.12 ( hAPP(V_Inf,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A)) = hAPP(hAPP(V_inf,V_a),hAPP(V_Inf,V_A))
% 3.01/3.12 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_complete__lattice_OSup__insert_0,axiom,
% 3.01/3.12 ( hAPP(V_Sup,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A)) = hAPP(hAPP(V_sup,V_a),hAPP(V_Sup,V_A))
% 3.01/3.12 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_insertE_0,axiom,
% 3.01/3.12 ( hBOOL(c_in(V_a,V_A,T_a))
% 3.01/3.12 | V_a = V_b
% 3.01/3.12 | ~ hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_A),T_a)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_finite__insert_1,axiom,
% 3.01/3.12 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a)
% 3.01/3.12 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_finite__insert_0,axiom,
% 3.01/3.12 ( c_Finite__Set_Ofinite(V_A,T_a)
% 3.01/3.12 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_subset__insertI_0,axiom,
% 3.01/3.12 c_lessequals(V_B,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool)) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_insert__inter__insert_0,axiom,
% 3.01/3.12 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_Un__insert__right_0,axiom,
% 3.01/3.12 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_Un__insert__left_0,axiom,
% 3.01/3.12 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)),V_C) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_subset__insertI2_0,axiom,
% 3.01/3.12 ( c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_B),tc_fun(T_a,tc_bool))
% 3.01/3.12 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_insert__subset_1,axiom,
% 3.01/3.12 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.01/3.12 | ~ c_lessequals(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_inj__on__insert_0,axiom,
% 3.01/3.12 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 3.01/3.12 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a,T_b) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_insert__iff_1,axiom,
% 3.01/3.12 hBOOL(c_in(V_x,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),T_a)) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_insertI1_0,axiom,
% 3.01/3.12 hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),T_a)) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_insertCI_1,axiom,
% 3.01/3.12 hBOOL(c_in(V_x,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),T_a)) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_fun__left__comm__idem__insert_0,axiom,
% 3.01/3.12 c_Finite__Set_Ofun__left__comm__idem(c_Set_Oinsert(T_a),T_a,tc_fun(T_a,tc_bool)) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_insert__ident_0,axiom,
% 3.01/3.12 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A) != hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B)
% 3.01/3.12 | hBOOL(c_in(V_x,V_B,T_a))
% 3.01/3.12 | hBOOL(c_in(V_x,V_A,T_a))
% 3.01/3.12 | V_A = V_B ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_insert__absorb_0,axiom,
% 3.01/3.12 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A) = V_A
% 3.01/3.12 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_triple_Osplit__asm_0,axiom,
% 3.01/3.12 ( ~ hBOOL(hAPP(V_P,c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1,c_Hoare__Mirabelle_Otriple_Otriple(V_xa,V_xb,V_xc,t_b),t_b,t_a)))
% 3.01/3.12 | hBOOL(hAPP(V_P,hAPP(hAPP(hAPP(V_f1,V_xa),V_xb),V_xc))) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_triple_Osplit_0,axiom,
% 3.01/3.12 ( ~ hBOOL(hAPP(V_P,c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1,c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,t_b),t_b,t_a)))
% 3.01/3.12 | hBOOL(hAPP(V_P,hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2))) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_triple_Orecs_0,axiom,
% 3.01/3.12 c_Hoare__Mirabelle_Otriple_Otriple__rec(V_f1,c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_b),T_b,T_a) = hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_triple_Ocases_0,axiom,
% 3.01/3.12 c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1,c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_b),T_b,T_a) = hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_COMBI__def__raw_0,axiom,
% 3.01/3.12 hAPP(c_COMBI(t_a),v_P) = v_P ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_weaken_0,axiom,
% 3.01/3.12 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 3.01/3.12 | ~ c_lessequals(V_ts,V_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))
% 3.01/3.12 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts_H,T_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_asm_0,axiom,
% 3.01/3.12 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 3.01/3.12 | ~ c_lessequals(V_ts,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_COMBB__def__raw_0,axiom,
% 3.01/3.12 hAPP(c_COMBB(v_P,v_Q,t_a,t_b,t_c),v_R) = hAPP(v_P,hAPP(v_Q,v_R)) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_COMBS__def__raw_0,axiom,
% 3.01/3.12 c_COMBS(v_P,v_Q,v_R,t_a,t_b,t_c) = hAPP(hAPP(v_P,v_R),hAPP(v_Q,v_R)) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_COMBC__def__raw_0,axiom,
% 3.01/3.12 c_COMBC(v_P,v_Q,v_R,t_a,t_b,t_c) = hAPP(hAPP(v_P,v_R),v_Q) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_Loop_0,axiom,
% 3.01/3.12 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OWhile(V_b,V_c),c_Hoare__Mirabelle_Opeek__and(V_P,c_Fun_Ocomp(c_Not,V_b,tc_bool,tc_bool,tc_Com_Ostate),T_a),T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)
% 3.01/3.12 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(V_P,V_b,T_a),V_c,V_P,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_hoare__derivs_OIf_0,axiom,
% 3.01/3.12 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OCond(V_b,V_c,V_d),V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)
% 3.01/3.12 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(V_P,c_Fun_Ocomp(c_Not,V_b,tc_bool,tc_bool,tc_Com_Ostate),T_a),V_d,V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)
% 3.01/3.12 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(V_P,V_b,T_a),V_c,V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_bot__fun__eq_0,axiom,
% 3.01/3.12 ( ~ class_Orderings_Obot(T_b)
% 3.01/3.12 | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_Sup__empty_0,axiom,
% 3.01/3.12 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 3.01/3.12 | 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) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_singleton__conv2_0,axiom,
% 3.01/3.12 c_Collect(c_fequal(V_a,T_a),T_a) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_subset__singletonD_0,axiom,
% 3.01/3.12 ( V_A = hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))
% 3.01/3.12 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.01/3.12 | ~ c_lessequals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_singleton__iff_1,axiom,
% 3.01/3.12 hBOOL(c_in(V_x,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_complete__lattice_OInf__singleton_0,axiom,
% 3.01/3.12 ( hAPP(V_Inf,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) = V_a
% 3.01/3.12 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_complete__lattice_OSup__singleton_0,axiom,
% 3.01/3.12 ( hAPP(V_Sup,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) = V_a
% 3.01/3.12 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_Sup__singleton_0,axiom,
% 3.01/3.12 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 3.01/3.12 | c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) = V_a ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_Nitpick_OEx1__def_2,axiom,
% 3.01/3.12 hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a))) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_UN__extend__simps_I1_J_0,axiom,
% 3.01/3.12 hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_fold1Set__sing_1,axiom,
% 3.01/3.12 hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a),V_x)) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_Min__singleton_0,axiom,
% 3.01/3.12 ( ~ class_Orderings_Olinorder(T_a)
% 3.01/3.12 | c_Finite__Set_Olinorder__class_OMin(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) = V_a ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_Nitpick_OThe__psimp_0,axiom,
% 3.01/3.12 c_The(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) = V_x ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_complete__lattice_OInf__binary_0,axiom,
% 3.01/3.12 ( hAPP(V_Inf,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))) = hAPP(hAPP(V_inf,V_a),V_b)
% 3.01/3.12 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_complete__lattice_OSup__binary_0,axiom,
% 3.01/3.12 ( hAPP(V_Sup,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))) = hAPP(hAPP(V_sup,V_a),V_b)
% 3.01/3.12 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_Diff__insert2_0,axiom,
% 3.01/3.12 c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_Diff__insert_0,axiom,
% 3.01/3.12 c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_fold1Set__sing_0,axiom,
% 3.01/3.12 ( V_a = V_b
% 3.01/3.12 | ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a),V_b)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_contents__eq_0,axiom,
% 3.01/3.12 c_Set_Ocontents(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) = V_x ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_Nitpick_OEx1__def_3,axiom,
% 3.01/3.12 ( V_y = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)
% 3.01/3.12 | ~ hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_y)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_singletonE_0,axiom,
% 3.01/3.12 ( V_b = V_a
% 3.01/3.12 | ~ hBOOL(c_in(V_b,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_fold1__singleton_0,axiom,
% 3.01/3.12 c_Finite__Set_Ofold1(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) = V_a ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_Max__singleton_0,axiom,
% 3.01/3.12 ( ~ class_Orderings_Olinorder(T_a)
% 3.01/3.12 | c_Finite__Set_Olinorder__class_OMax(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) = V_a ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_insert__Diff__single_0,axiom,
% 3.01/3.12 hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_atLeastAtMost__singleton_0,axiom,
% 3.01/3.12 ( ~ class_Orderings_Oorder(T_a)
% 3.01/3.12 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_a,T_a) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
% 3.01/3.12 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_xa) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 3.01/3.12 | hBOOL(c_in(V_x,V_xa,T_a)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_insert__is__Un_0,axiom,
% 3.01/3.12 hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),V_A) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_Inf__singleton_0,axiom,
% 3.01/3.12 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 3.01/3.12 | c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a) = V_a ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_conseq_1,axiom,
% 3.01/3.12 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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))),t_a)
% 3.01/3.12 | hBOOL(hAPP(hAPP(V_xa,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))
% 3.01/3.12 | ~ hBOOL(hAPP(hAPP(V_x,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(V_G,V_P,V_Q,V_c)))
% 3.01/3.12 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_conseq12_1,axiom,
% 3.01/3.12 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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))),t_a)
% 3.01/3.12 | hBOOL(hAPP(hAPP(V_Q_H,V_Z_H),v_sko__Hoare__Mirabelle__Xconseq12__3(V_P,V_P_H,V_Q,V_Q_H)))
% 3.01/3.12 | ~ hBOOL(hAPP(hAPP(V_P_H,V_Z_H),v_sko__Hoare__Mirabelle__Xconseq12__2(V_P,V_P_H,V_Q,V_Q_H)))
% 3.01/3.12 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_hoare__derivs_Ointros_I6_J_1,axiom,
% 3.01/3.12 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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))),t_a)
% 3.01/3.12 | hBOOL(hAPP(hAPP(V_xa,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))
% 3.01/3.12 | ~ hBOOL(hAPP(hAPP(V_x,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(V_G,V_P,V_Q,V_c)))
% 3.01/3.12 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_hoare__derivs_Ointros_I6_J_0,axiom,
% 3.01/3.12 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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))),t_a)
% 3.01/3.12 | hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(V_G,V_P,V_Q,V_c))) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_hoare__derivs_Ointros_I6_J_2,axiom,
% 3.01/3.12 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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))),t_a)
% 3.01/3.12 | ~ hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))
% 3.01/3.12 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_conseq_0,axiom,
% 3.01/3.12 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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))),t_a)
% 3.01/3.12 | hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(V_G,V_P,V_Q,V_c))) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_conseq12_0,axiom,
% 3.01/3.12 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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))),t_a)
% 3.01/3.12 | hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xconseq12__1(V_P,V_P_H,V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconseq12__2(V_P,V_P_H,V_Q,V_Q_H)))
% 3.01/3.12 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_conseq1_0,axiom,
% 3.01/3.12 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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))),t_a)
% 3.01/3.12 | hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xconseq1__1(V_P,V_P_H)),v_sko__Hoare__Mirabelle__Xconseq1__2(V_P,V_P_H)))
% 3.01/3.12 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_conseq_2,axiom,
% 3.01/3.12 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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))),t_a)
% 3.01/3.12 | ~ hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))
% 3.01/3.12 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_conseq1_1,axiom,
% 3.01/3.12 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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))),t_a)
% 3.01/3.12 | ~ hBOOL(hAPP(hAPP(V_P_H,v_sko__Hoare__Mirabelle__Xconseq1__1(V_P,V_P_H)),v_sko__Hoare__Mirabelle__Xconseq1__2(V_P,V_P_H)))
% 3.01/3.12 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_conseq12_2,axiom,
% 3.01/3.12 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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))),t_a)
% 3.01/3.12 | ~ hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xconseq12__1(V_P,V_P_H,V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconseq12__3(V_P,V_P_H,V_Q,V_Q_H)))
% 3.01/3.12 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_COMBK__def__raw_0,axiom,
% 3.01/3.12 hAPP(c_COMBK(v_P,t_a,t_b),v_Q) = v_P ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_hoare__derivs_OSkip_0,axiom,
% 3.01/3.12 c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),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))),T_a) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_Comp_0,axiom,
% 3.01/3.12 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),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))),T_a)
% 3.01/3.12 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),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))),T_a)
% 3.01/3.12 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),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))),T_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_hoare__derivs_Oinsert_0,axiom,
% 3.01/3.12 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),V_ts),T_a)
% 3.01/3.12 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 3.01/3.12 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_insert__code_1,axiom,
% 3.01/3.12 hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_x)) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_cut_0,axiom,
% 3.01/3.12 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 3.01/3.12 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_G_H,T_a)
% 3.01/3.12 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_empty__not__insert_0,axiom,
% 3.01/3.12 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_triple_Oinject_2,axiom,
% 3.01/3.12 ( 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)
% 3.01/3.12 | V_fun2 = V_fun2_H ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_triple_Oinject_1,axiom,
% 3.01/3.12 ( 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)
% 3.01/3.12 | V_com = V_com_H ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_triple_Oinject_0,axiom,
% 3.01/3.12 ( 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)
% 3.01/3.12 | V_fun1 = V_fun1_H ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_doubleton__eq__iff_3,axiom,
% 3.01/3.12 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))
% 3.01/3.12 | V_b = V_c
% 3.01/3.12 | V_b = V_d ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_doubleton__eq__iff_2,axiom,
% 3.01/3.12 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))
% 3.01/3.12 | V_a = V_d
% 3.01/3.12 | V_b = V_d ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_doubleton__eq__iff_1,axiom,
% 3.01/3.12 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))
% 3.01/3.12 | V_b = V_c
% 3.01/3.12 | V_a = V_c ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_doubleton__eq__iff_0,axiom,
% 3.01/3.12 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))
% 3.01/3.12 | V_a = V_d
% 3.01/3.12 | V_a = V_c ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_bot1E_0,axiom,
% 3.01/3.12 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_empty_0,axiom,
% 3.01/3.12 c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_insert__code_0,axiom,
% 3.01/3.12 ( hBOOL(hAPP(V_A,V_x))
% 3.01/3.12 | V_y = V_x
% 3.01/3.12 | ~ hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_y),V_A),V_x)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_insert__absorb2_0,axiom,
% 3.01/3.12 hAPP(hAPP(c_Set_Oinsert(T_a),V_x),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_insert__not__empty_0,axiom,
% 3.01/3.12 hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_insert__commute_0,axiom,
% 3.01/3.12 hAPP(hAPP(c_Set_Oinsert(T_a),V_x),hAPP(hAPP(c_Set_Oinsert(T_a),V_y),V_A)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_y),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A)) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_doubleton__eq__iff_4,axiom,
% 3.01/3.12 hAPP(hAPP(c_Set_Oinsert(T_a),V_xa),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x),hAPP(hAPP(c_Set_Oinsert(T_a),V_xa),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_singleton__inject_0,axiom,
% 3.01/3.12 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) != hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))
% 3.01/3.12 | V_a = V_b ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_insert__code_2,axiom,
% 3.01/3.12 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_y),V_A),V_x))
% 3.01/3.12 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_conjecture_0,negated_conjecture,
% 3.01/3.12 c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_conjecture_1,negated_conjecture,
% 3.01/3.12 ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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))),t_a) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_conjecture_2,negated_conjecture,
% 3.01/3.12 ( hBOOL(hAPP(hAPP(v_Q,V_Z),V_s))
% 3.01/3.12 | ~ hBOOL(hAPP(hAPP(v_Q_H,V_Z),V_s)) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 3.01/3.12 ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))
% 3.01/3.12 | ~ class_Complete__Lattice_Ocomplete__lattice(T_1) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 3.01/3.12 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 3.01/3.12 | ~ class_Lattices_Olattice(T_1) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
% 3.01/3.12 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))
% 3.01/3.12 | ~ class_Lattices_Olattice(T_1) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom,
% 3.01/3.12 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))
% 3.01/3.12 | ~ class_Lattices_Odistrib__lattice(T_1) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
% 3.01/3.12 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))
% 3.01/3.12 | ~ class_Lattices_Obounded__lattice(T_1) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(clsarity_fun__Finite__Set_Ofinite_Ofinite,axiom,
% 3.01/3.12 ( class_Finite__Set_Ofinite_Ofinite(tc_fun(T_2,T_1))
% 3.01/3.12 | ~ class_Finite__Set_Ofinite_Ofinite(T_1)
% 3.01/3.12 | ~ class_Finite__Set_Ofinite_Ofinite(T_2) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 3.01/3.12 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 3.01/3.12 | ~ class_Orderings_Opreorder(T_1) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 3.01/3.12 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 3.01/3.12 | ~ class_Lattices_Olattice(T_1) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 3.01/3.12 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 3.01/3.12 | ~ class_Orderings_Oorder(T_1) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(clsarity_fun__Orderings_Obot,axiom,
% 3.01/3.12 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 3.01/3.12 | ~ class_Orderings_Obot(T_1) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(clsarity_fun__HOL_Ominus,axiom,
% 3.01/3.12 ( class_HOL_Ominus(tc_fun(T_2,T_1))
% 3.01/3.12 | ~ class_HOL_Ominus(T_1) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(clsarity_fun__HOL_Oord,axiom,
% 3.01/3.12 ( class_HOL_Oord(tc_fun(T_2,T_1))
% 3.01/3.12 | ~ class_HOL_Oord(T_1) ) ).
% 3.01/3.12
% 3.01/3.12 cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom,
% 3.01/3.12 class_Complete__Lattice_Ocomplete__lattice(tc_bool) ).
% 3.01/3.12
% 3.01/3.12 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 3.01/3.12 class_Lattices_Oupper__semilattice(tc_bool) ).
% 3.01/3.12
% 3.01/3.12 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
% 3.01/3.12 class_Lattices_Olower__semilattice(tc_bool) ).
% 3.01/3.12
% 3.01/3.12 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom,
% 3.01/3.12 class_Lattices_Odistrib__lattice(tc_bool) ).
% 3.01/3.12
% 3.01/3.12 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
% 3.01/3.12 class_Lattices_Obounded__lattice(tc_bool) ).
% 3.01/3.12
% 3.01/3.12 cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom,
% 3.01/3.12 class_Finite__Set_Ofinite_Ofinite(tc_bool) ).
% 3.01/3.12
% 3.01/3.12 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 3.01/3.12 class_Orderings_Opreorder(tc_bool) ).
% 3.01/3.12
% 3.01/3.12 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 3.01/3.12 class_Lattices_Olattice(tc_bool) ).
% 3.01/3.12
% 3.01/3.12 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 3.01/3.12 class_Orderings_Oorder(tc_bool) ).
% 3.01/3.12
% 3.01/3.12 cnf(clsarity_bool__Orderings_Obot,axiom,
% 3.01/3.12 class_Orderings_Obot(tc_bool) ).
% 3.01/3.12
% 3.01/3.12 cnf(clsarity_bool__HOL_Ominus,axiom,
% 3.01/3.12 class_HOL_Ominus(tc_bool) ).
% 3.01/3.12
% 3.01/3.12 cnf(clsarity_bool__HOL_Oord,axiom,
% 3.01/3.12 class_HOL_Oord(tc_bool) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 3.01/3.12 hBOOL(hAPP(c_fequal(V_x,T_a),V_x)) ).
% 3.01/3.12
% 3.01/3.12 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 3.01/3.12 ( V_X = V_Y
% 3.01/3.12 | ~ hBOOL(hAPP(c_fequal(V_X,T_a),V_Y)) ) ).
% 3.01/3.12
% 3.01/3.12 %------------------------------------------------------------------------------
% 3.01/3.12 %-------------------------------------------
% 3.01/3.12 % Proof found
% 3.01/3.12 % SZS status Theorem for theBenchmark
% 3.01/3.12 % SZS output start Proof
% 3.01/3.13 %ClaNum:644(EqnAxiom:168)
% 3.01/3.13 %VarNum:3666(SingletonVarNum:1525)
% 3.01/3.13 %MaxLitNum:6
% 3.01/3.13 %MaxfuncDepth:6
% 3.01/3.13 %SharedTerms:54
% 3.01/3.13 %goalClause: 270 304 378
% 3.01/3.13 %singleGoalClaCount:2
% 3.01/3.13 [169]P1(a1)
% 3.01/3.13 [170]P2(a1)
% 3.01/3.13 [171]P15(a1)
% 3.01/3.13 [172]P3(a1)
% 3.01/3.13 [173]P4(a1)
% 3.01/3.13 [174]P16(a1)
% 3.01/3.13 [175]P11(a1)
% 3.01/3.13 [176]P12(a1)
% 3.01/3.13 [177]P13(a1)
% 3.01/3.13 [178]P14(a1)
% 3.01/3.13 [179]P17(a1)
% 3.01/3.13 [180]P21(a1)
% 3.01/3.13 [195]E(f33(a43,f6(f40(a2,a1)),a2),f5(f6(f40(a2,a1)),a43))
% 3.01/3.13 [270]P9(a41,f5(f5(f28(f36(a2)),f21(a39,a44,a45,a2)),f6(f40(f36(a2),a1))),a2)
% 3.01/3.13 [304]~P9(a41,f5(f5(f28(f36(a2)),f21(a39,a44,a42,a2)),f6(f40(f36(a2),a1))),a2)
% 3.01/3.13 [186]P8(f28(x1861),x1861,f40(x1861,a1))
% 3.01/3.13 [183]P5(f6(f40(x1831,a1)),x1831)
% 3.01/3.13 [185]P7(x1851,x1851,f40(x1852,a1))
% 3.01/3.13 [208]P10(f3(x2081),x2082,x2081,x2081)
% 3.01/3.13 [287]~E(f13(x2871,x2872),a11)
% 3.01/3.13 [288]~E(f14(x2881,x2882),a11)
% 3.01/3.13 [182]E(f5(f3(x1821),x1822),x1822)
% 3.01/3.13 [187]E(f7(x1871,x1871,f40(x1872,a1)),f6(f40(x1872,a1)))
% 3.01/3.13 [190]P7(f6(f40(x1901,a1)),x1902,f40(x1901,a1))
% 3.01/3.13 [191]E(f7(x1911,f6(f40(x1912,a1)),f40(x1912,a1)),x1911)
% 3.01/3.13 [196]E(f7(f6(f40(x1961,a1)),x1962,f40(x1961,a1)),f6(f40(x1961,a1)))
% 3.01/3.13 [209]E(f32(f3(x2091),x2092,x2091,x2091),x2092)
% 3.01/3.13 [192]P9(x1921,f6(f40(f36(x1922),a1)),x1922)
% 3.01/3.13 [199]E(f5(f5(f25(f40(x1991,a1)),x1992),f6(f40(x1991,a1))),x1992)
% 3.01/3.13 [204]E(f5(f5(f20(f40(x2041,a1)),x2042),f6(f40(x2041,a1))),f6(f40(x2041,a1)))
% 3.01/3.13 [299]~P22(f5(f6(f40(x2991,a1)),x2992))
% 3.01/3.13 [302]~P22(f33(x3021,f6(f40(x3022,a1)),x3022))
% 3.01/3.13 [193]E(f5(f5(f20(f40(x1931,a1)),x1932),x1932),x1932)
% 3.01/3.13 [194]E(f5(f5(f25(f40(x1941,a1)),x1942),x1942),x1942)
% 3.01/3.13 [202]E(f34(f5(f5(f28(x2021),x2022),f6(f40(x2021,a1))),x2021),x2022)
% 3.01/3.13 [203]E(f29(f5(f5(f28(x2031),x2032),f6(f40(x2031,a1))),x2031),x2032)
% 3.01/3.13 [207]E(f5(f5(f25(f40(x2071,a1)),f6(f40(x2071,a1))),x2072),x2072)
% 3.01/3.13 [210]E(f5(f5(f20(f40(x2101,a1)),f6(f40(x2101,a1))),x2102),f6(f40(x2101,a1)))
% 3.01/3.13 [263]P22(f5(f5(f5(f28(x2631),x2632),f6(f40(x2631,a1))),f26(f5(f5(f28(x2631),x2632),f6(f40(x2631,a1))),x2631)))
% 3.01/3.13 [292]~E(f12(x2921,x2922,x2923),a11)
% 3.01/3.13 [205]P7(f7(x2051,x2052,f40(x2053,a1)),x2051,f40(x2053,a1))
% 3.01/3.13 [213]P10(x2131,f6(f40(x2132,a1)),x2132,x2133)
% 3.01/3.13 [214]E(f7(f7(x2141,x2142,f40(x2143,a1)),x2142,f40(x2143,a1)),f7(x2141,x2142,f40(x2143,a1)))
% 3.01/3.13 [197]P7(x1971,f5(f5(f28(x1972),x1973),x1971),f40(x1972,a1))
% 3.01/3.13 [219]E(f5(f5(f20(f40(x2191,a1)),x2192),f7(x2193,x2192,f40(x2191,a1))),f6(f40(x2191,a1)))
% 3.01/3.13 [221]E(f32(x2211,f6(f40(x2212,a1)),x2212,x2213),f6(f40(x2213,a1)))
% 3.01/3.13 [240]E(f5(f5(f28(x2401),x2402),f7(x2403,f5(f5(f28(x2401),x2402),f6(f40(x2401,a1))),f40(x2401,a1))),f5(f5(f28(x2401),x2402),x2403))
% 3.01/3.13 [298]~E(f5(f5(f28(x2981),x2982),x2983),f6(f40(x2981,a1)))
% 3.01/3.13 [200]E(f5(f5(f28(x2001),x2002),f5(f5(f28(x2001),x2002),x2003)),f5(f5(f28(x2001),x2002),x2003))
% 3.01/3.13 [206]P22(f5(f5(f5(f28(x2061),x2062),x2063),x2062))
% 3.01/3.13 [211]E(f5(f5(f20(f40(x2111,a1)),x2112),x2113),f5(f5(f20(f40(x2111,a1)),x2113),x2112))
% 3.01/3.13 [212]E(f5(f5(f25(f40(x2121,a1)),x2122),x2123),f5(f5(f25(f40(x2121,a1)),x2123),x2122))
% 3.01/3.13 [218]P22(f33(x2181,f5(f5(f28(x2182),x2181),x2183),x2182))
% 3.01/3.13 [223]P7(x2231,f5(f5(f25(f40(x2232,a1)),x2233),x2231),f40(x2232,a1))
% 3.01/3.13 [224]P7(x2241,f5(f5(f25(f40(x2242,a1)),x2241),x2243),f40(x2242,a1))
% 3.01/3.13 [225]P7(f5(f5(f20(f40(x2251,a1)),x2252),x2253),x2253,f40(x2251,a1))
% 3.01/3.13 [226]P7(f5(f5(f20(f40(x2261,a1)),x2262),x2263),x2262,f40(x2261,a1))
% 3.01/3.13 [228]E(f5(f5(f25(f40(x2281,a1)),x2282),f7(x2283,x2282,f40(x2281,a1))),f5(f5(f25(f40(x2281,a1)),x2282),x2283))
% 3.01/3.13 [236]E(f5(f5(f25(f40(x2361,a1)),f7(x2362,x2363,f40(x2361,a1))),x2363),f5(f5(f25(f40(x2361,a1)),x2362),x2363))
% 3.01/3.13 [272]P9(x2721,f5(f5(f28(f36(x2722)),f21(x2723,a11,x2723,x2722)),f6(f40(f36(x2722),a1))),x2722)
% 3.01/3.13 [303]~P22(f5(f9(x3031,f6(f40(x3032,a1)),x3032),x3033))
% 3.01/3.13 [232]E(f34(f9(x2321,f5(f5(f28(x2322),x2323),f6(f40(x2322,a1))),x2322),x2322),x2323)
% 3.01/3.13 [233]E(f5(f5(f20(f40(x2331,a1)),x2332),f5(f5(f20(f40(x2331,a1)),x2332),x2333)),f5(f5(f20(f40(x2331,a1)),x2332),x2333))
% 3.01/3.13 [234]E(f5(f5(f25(f40(x2341,a1)),x2342),f5(f5(f25(f40(x2341,a1)),x2342),x2343)),f5(f5(f25(f40(x2341,a1)),x2342),x2343))
% 3.01/3.13 [237]E(f5(f5(f25(f40(x2371,a1)),f5(f5(f28(x2371),x2372),f6(f40(x2371,a1)))),x2373),f5(f5(f28(x2371),x2372),x2373))
% 3.01/3.13 [243]E(f5(f5(f25(f40(x2431,a1)),f7(x2432,x2433,f40(x2431,a1))),f5(f5(f20(f40(x2431,a1)),x2432),x2433)),x2432)
% 3.01/3.13 [258]P22(f5(f9(x2581,f5(f5(f28(x2582),x2583),f6(f40(x2582,a1))),x2582),x2583))
% 3.01/3.13 [290]~E(f14(x2901,x2902),f13(x2903,x2904))
% 3.01/3.13 [189]E(f5(f8(x1891,x1892,x1893),x1894),x1891)
% 3.01/3.13 [238]E(f7(f7(x2381,x2382,f40(x2383,a1)),f5(f5(f28(x2383),x2384),f6(f40(x2383,a1))),f40(x2383,a1)),f7(x2381,f5(f5(f28(x2383),x2384),x2382),f40(x2383,a1)))
% 3.01/3.13 [242]E(f7(x2421,f10(f6(f40(x2422,a1)),x2423,x2422,f40(x2424,a1)),f40(x2424,a1)),x2421)
% 3.01/3.13 [247]E(f7(f7(x2471,f5(f5(f28(x2472),x2473),f6(f40(x2472,a1))),f40(x2472,a1)),x2474,f40(x2472,a1)),f7(x2471,f5(f5(f28(x2472),x2473),x2474),f40(x2472,a1)))
% 3.01/3.13 [257]E(f7(f5(f5(f20(f40(x2571,a1)),x2572),x2573),f5(f5(f20(f40(x2571,a1)),x2574),x2573),f40(x2571,a1)),f7(f5(f5(f20(f40(x2571,a1)),x2572),x2573),x2574,f40(x2571,a1)))
% 3.01/3.13 [239]E(f7(f5(f5(f20(f40(x2391,a1)),x2392),x2393),x2394,f40(x2391,a1)),f5(f5(f20(f40(x2391,a1)),x2392),f7(x2393,x2394,f40(x2391,a1))))
% 3.01/3.13 [244]E(f5(f5(f25(f40(x2441,a1)),x2442),f10(f6(f40(x2443,a1)),x2444,x2443,f40(x2441,a1))),x2442)
% 3.01/3.13 [246]E(f5(f5(f28(x2461),x2462),f10(f6(f40(x2463,a1)),x2464,x2463,f40(x2461,a1))),f5(f5(f28(x2461),x2462),f6(f40(x2461,a1))))
% 3.01/3.13 [252]E(f7(f5(f5(f20(f40(x2521,a1)),x2522),x2523),f5(f5(f20(f40(x2521,a1)),x2522),x2524),f40(x2521,a1)),f5(f5(f20(f40(x2521,a1)),x2522),f7(x2523,x2524,f40(x2521,a1))))
% 3.01/3.13 [254]E(f5(f5(f25(f40(x2541,a1)),f7(x2542,x2543,f40(x2541,a1))),f7(x2542,x2544,f40(x2541,a1))),f7(x2542,f5(f5(f20(f40(x2541,a1)),x2543),x2544),f40(x2541,a1)))
% 3.01/3.13 [255]E(f5(f5(f20(f40(x2551,a1)),f7(x2552,x2553,f40(x2551,a1))),f7(x2552,x2554,f40(x2551,a1))),f7(x2552,f5(f5(f25(f40(x2551,a1)),x2553),x2554),f40(x2551,a1)))
% 3.01/3.13 [256]E(f5(f5(f25(f40(x2561,a1)),f7(x2562,x2563,f40(x2561,a1))),f7(x2564,x2563,f40(x2561,a1))),f7(f5(f5(f25(f40(x2561,a1)),x2562),x2564),x2563,f40(x2561,a1)))
% 3.01/3.13 [278]E(f5(f17(f8(x2781,x2782,x2783),x2784,x2783,x2782,a2),a43),x2781)
% 3.01/3.13 [215]E(f5(f5(f28(x2151),x2152),f5(f5(f28(x2151),x2153),x2154)),f5(f5(f28(x2151),x2153),f5(f5(f28(x2151),x2152),x2154)))
% 3.01/3.13 [259]E(f7(f5(f5(f20(f40(x2591,a1)),x2592),x2593),f5(f5(f20(f40(x2591,a1)),x2594),x2593),f40(x2591,a1)),f5(f5(f20(f40(x2591,a1)),f7(x2592,x2594,f40(x2591,a1))),x2593))
% 3.01/3.13 [266]E(f5(f5(f25(f40(x2661,a1)),f10(f6(f40(x2662,a1)),x2663,x2662,f40(x2661,a1))),x2664),x2664)
% 3.01/3.13 [235]E(f5(f5(f25(f40(x2351,a1)),x2352),f5(f5(f28(x2351),x2353),x2354)),f5(f5(f28(x2351),x2353),f5(f5(f25(f40(x2351,a1)),x2352),x2354)))
% 3.01/3.13 [241]E(f5(f5(f25(f40(x2411,a1)),f5(f5(f28(x2411),x2412),x2413)),x2414),f5(f5(f28(x2411),x2412),f5(f5(f25(f40(x2411,a1)),x2413),x2414)))
% 3.01/3.13 [245]E(f5(f5(f20(f40(x2451,a1)),f5(f5(f28(x2451),x2452),x2453)),f5(f5(f28(x2451),x2452),x2454)),f5(f5(f28(x2451),x2452),f5(f5(f20(f40(x2451,a1)),x2453),x2454)))
% 3.01/3.13 [250]E(f5(f5(f20(f40(x2501,a1)),x2502),f5(f5(f20(f40(x2501,a1)),x2503),x2504)),f5(f5(f20(f40(x2501,a1)),x2503),f5(f5(f20(f40(x2501,a1)),x2502),x2504)))
% 3.01/3.13 [251]E(f5(f5(f25(f40(x2511,a1)),x2512),f5(f5(f25(f40(x2511,a1)),x2513),x2514)),f5(f5(f25(f40(x2511,a1)),x2513),f5(f5(f25(f40(x2511,a1)),x2512),x2514)))
% 3.01/3.13 [264]E(f5(f5(f25(f40(x2641,a1)),f5(f5(f20(f40(x2641,a1)),x2642),x2643)),f5(f5(f20(f40(x2641,a1)),x2642),x2644)),f5(f5(f20(f40(x2641,a1)),x2642),f5(f5(f25(f40(x2641,a1)),x2643),x2644)))
% 3.01/3.13 [265]E(f5(f5(f20(f40(x2651,a1)),f5(f5(f25(f40(x2651,a1)),x2652),x2653)),f5(f5(f25(f40(x2651,a1)),x2652),x2654)),f5(f5(f25(f40(x2651,a1)),x2652),f5(f5(f20(f40(x2651,a1)),x2653),x2654)))
% 3.01/3.13 [284]E(f5(f5(f25(f40(x2841,a1)),f5(f5(f25(f40(x2841,a1)),f5(f5(f20(f40(x2841,a1)),x2842),x2843)),f5(f5(f20(f40(x2841,a1)),x2843),x2844))),f5(f5(f20(f40(x2841,a1)),x2844),x2842)),f5(f5(f20(f40(x2841,a1)),f5(f5(f20(f40(x2841,a1)),f5(f5(f25(f40(x2841,a1)),x2842),x2843)),f5(f5(f25(f40(x2841,a1)),x2843),x2844))),f5(f5(f25(f40(x2841,a1)),x2844),x2842)))
% 3.01/3.13 [261]E(f5(f5(f20(f40(x2611,a1)),f5(f5(f20(f40(x2611,a1)),x2612),x2613)),x2614),f5(f5(f20(f40(x2611,a1)),x2612),f5(f5(f20(f40(x2611,a1)),x2613),x2614)))
% 3.01/3.13 [262]E(f5(f5(f25(f40(x2621,a1)),f5(f5(f25(f40(x2621,a1)),x2622),x2623)),x2624),f5(f5(f25(f40(x2621,a1)),x2622),f5(f5(f25(f40(x2621,a1)),x2623),x2624)))
% 3.01/3.13 [267]E(f5(f5(f25(f40(x2671,a1)),f5(f5(f20(f40(x2671,a1)),x2672),x2673)),f5(f5(f20(f40(x2671,a1)),x2674),x2673)),f5(f5(f20(f40(x2671,a1)),f5(f5(f25(f40(x2671,a1)),x2672),x2674)),x2673))
% 3.01/3.13 [268]E(f5(f5(f20(f40(x2681,a1)),f5(f5(f25(f40(x2681,a1)),x2682),x2683)),f5(f5(f25(f40(x2681,a1)),x2684),x2683)),f5(f5(f25(f40(x2681,a1)),f5(f5(f20(f40(x2681,a1)),x2682),x2684)),x2683))
% 3.01/3.13 [293]~E(f13(x2931,x2932),f12(x2933,x2934,x2935))
% 3.01/3.13 [294]~E(f14(x2941,x2942),f12(x2943,x2944,x2945))
% 3.01/3.13 [295]~E(f12(x2951,x2952,x2953),f13(x2954,x2955))
% 3.01/3.13 [296]~E(f12(x2961,x2962,x2963),f14(x2964,x2965))
% 3.01/3.13 [260]E(f10(f5(f5(f28(x2601),x2602),x2603),x2604,x2601,f40(x2605,a1)),f5(f5(f25(f40(x2605,a1)),f5(x2604,x2602)),f10(x2603,x2604,x2601,f40(x2605,a1))))
% 3.01/3.13 [271]E(f5(f5(f25(f40(x2711,a1)),f10(x2712,x2713,x2714,f40(x2711,a1))),f10(x2715,x2713,x2714,f40(x2711,a1))),f10(f5(f5(f25(f40(x2714,a1)),x2712),x2715),x2713,x2714,f40(x2711,a1)))
% 3.01/3.13 [279]P7(f7(f32(x2791,x2792,x2793,x2794),f32(x2791,x2795,x2793,x2794),f40(x2794,a1)),f32(x2791,f7(x2792,x2795,f40(x2793,a1)),x2793,x2794),f40(x2794,a1))
% 3.01/3.13 [253]E(f32(x2531,f5(f5(f28(x2532),x2533),x2534),x2532,x2535),f5(f5(f28(x2535),f5(x2531,x2533)),f32(x2531,x2534,x2532,x2535)))
% 3.01/3.13 [269]E(f5(f5(f25(f40(x2691,a1)),f32(x2692,x2693,x2694,x2691)),f32(x2692,x2695,x2694,x2691)),f32(x2692,f5(f5(f25(f40(x2694,a1)),x2693),x2695),x2694,x2691))
% 3.01/3.13 [282]P7(f32(x2821,f5(f5(f20(f40(x2822,a1)),x2823),x2824),x2822,x2825),f5(f5(f20(f40(x2825,a1)),f32(x2821,x2823,x2822,x2825)),f32(x2821,x2824,x2822,x2825)),f40(x2825,a1))
% 3.01/3.13 [276]E(f5(f4(x2761,x2762,x2763,x2764,x2765),x2766),f5(x2761,f5(x2762,x2766)))
% 3.01/3.13 [277]E(f5(f17(x2771,x2772,x2773,x2774,x2775),x2776),f5(x2771,f5(x2772,x2776)))
% 3.01/3.13 [280]E(f32(x2801,f32(x2802,x2803,x2804,x2805),x2805,x2806),f32(f4(x2801,x2802,x2805,x2806,x2804),x2803,x2804,x2806))
% 3.01/3.13 [281]E(f32(f17(x2811,x2812,x2813,x2814,x2815),x2816,x2815,x2814),f32(x2811,f32(x2812,x2816,x2815,x2813),x2813,x2814))
% 3.01/3.13 [248]E(f23(x2481,f21(x2482,x2483,x2484,x2485),x2485,x2486),f5(f5(f5(x2481,x2482),x2483),x2484))
% 3.01/3.13 [249]E(f24(x2491,f21(x2492,x2493,x2494,x2495),x2495,x2496),f5(f5(f5(x2491,x2492),x2493),x2494))
% 3.01/3.13 [283]E(f17(x2831,f17(x2832,x2833,x2834,x2835,x2836),x2835,x2837,x2836),f17(f17(x2831,x2832,x2835,x2837,x2834),x2833,x2834,x2837,x2836))
% 3.01/3.13 [329]~P15(x3291)+P8(f20(x3291),x3291,x3291)
% 3.01/3.13 [330]~P1(x3301)+P8(f25(x3301),x3301,x3301)
% 3.01/3.13 [333]~P17(x3331)+E(f5(f6(f40(a2,x3331)),a43),f6(x3331))
% 3.01/3.13 [335]~P4(x3351)+E(f15(f6(f40(x3351,a1)),x3351),f6(x3351))
% 3.01/3.13 [305]~P12(x3052)+P5(x3051,x3052)
% 3.01/3.13 [325]~P16(x3252)+P7(x3251,x3251,x3252)
% 3.01/3.13 [326]~P21(x3262)+P7(x3261,x3261,x3262)
% 3.01/3.13 [306]~P2(x3062)+P1(f40(x3061,x3062))
% 3.01/3.13 [307]~P2(x3072)+P2(f40(x3071,x3072))
% 3.01/3.13 [308]~P2(x3082)+P15(f40(x3081,x3082))
% 3.01/3.13 [309]~P3(x3092)+P3(f40(x3091,x3092))
% 3.01/3.13 [310]~P4(x3102)+P4(f40(x3101,x3102))
% 3.01/3.13 [311]~P16(x3112)+P16(f40(x3111,x3112))
% 3.01/3.13 [312]~P11(x3122)+P11(f40(x3121,x3122))
% 3.01/3.13 [313]~P13(x3132)+P13(f40(x3131,x3132))
% 3.01/3.13 [314]~P14(x3142)+P14(f40(x3141,x3142))
% 3.01/3.13 [315]~P17(x3152)+P17(f40(x3151,x3152))
% 3.01/3.13 [316]~P21(x3162)+P21(f40(x3161,x3162))
% 3.01/3.13 [328]~P17(x3281)+P7(f6(x3281),x3282,x3281)
% 3.01/3.13 [327]~P14(x3271)+E(f5(f5(f25(x3271),x3272),f6(x3271)),x3272)
% 3.01/3.13 [331]~P14(x3311)+E(f5(f5(f20(x3311),x3312),f6(x3311)),f6(x3311))
% 3.01/3.13 [378]~P22(f5(f5(a45,x3781),x3782))+P22(f5(f5(a42,x3781),x3782))
% 3.01/3.13 [403]~P7(x4031,f6(f40(x4032,a1)),f40(x4032,a1))+E(x4031,f6(f40(x4032,a1)))
% 3.01/3.13 [323]~P15(x3231)+E(f5(f5(f20(x3231),x3232),x3232),x3232)
% 3.01/3.13 [324]~P1(x3241)+E(f5(f5(f25(x3241),x3242),x3242),x3242)
% 3.01/3.13 [332]~P14(x3321)+E(f5(f5(f25(x3321),f6(x3321)),x3322),x3322)
% 3.01/3.13 [334]~P14(x3341)+E(f5(f5(f20(x3341),f6(x3341)),x3342),f6(x3341))
% 3.01/3.13 [368]~P16(x3682)+E(f31(x3681,x3681,x3682),f5(f5(f28(x3682),x3681),f6(f40(x3682,a1))))
% 3.01/3.13 [482]~P16(x4821)+E(f7(f5(f5(f28(x4821),x4822),f6(f40(x4821,a1))),f30(x4822,x4821),f40(x4821,a1)),f5(f5(f28(x4821),x4822),f6(f40(x4821,a1))))
% 3.01/3.13 [399]~P20(x3991)+E(f18(f5(f5(f28(x3991),x3992),f6(f40(x3991,a1))),x3991),x3992)
% 3.01/3.13 [400]~P4(x4001)+E(f16(f5(f5(f28(x4001),x4002),f6(f40(x4001,a1))),x4001),x4002)
% 3.01/3.13 [401]~P4(x4011)+E(f15(f5(f5(f28(x4011),x4012),f6(f40(x4011,a1))),x4011),x4012)
% 3.01/3.13 [402]~P20(x4021)+E(f19(f5(f5(f28(x4021),x4022),f6(f40(x4021,a1))),x4021),x4022)
% 3.01/3.13 [355]~P22(f5(x3552,x3551))+P22(f33(x3551,x3552,x3553))
% 3.01/3.13 [386]P22(f5(x3861,x3862))+~P22(f33(x3862,x3861,x3863))
% 3.01/3.13 [336]~P22(f5(x3361,x3363))+~E(x3361,f6(f40(x3362,a1)))
% 3.01/3.13 [337]~P22(f5(x3372,x3373))+~E(f6(f40(x3371,a1)),x3372)
% 3.01/3.13 [377]~P5(x3771,x3773)+P5(f7(x3771,x3772,f40(x3773,a1)),x3773)
% 3.01/3.13 [379]P9(x3791,x3792,x3793)+~P7(x3792,x3791,f40(f36(x3793),a1))
% 3.01/3.13 [452]~P16(x4521)+E(f5(f5(f20(f40(x4521,a1)),f30(x4522,x4521)),f31(x4522,x4523,x4521)),f6(f40(x4521,a1)))
% 3.01/3.13 [499]P22(f33(x4992,x4993,x4991))+E(f7(f5(f5(f28(x4991),x4992),x4993),f5(f5(f28(x4991),x4992),f6(f40(x4991,a1))),f40(x4991,a1)),x4993)
% 3.01/3.13 [340]~P2(x3401)+E(f5(f5(f20(x3401),x3402),x3403),f5(f5(f20(x3401),x3403),x3402))
% 3.01/3.13 [341]~P15(x3411)+E(f5(f5(f20(x3411),x3412),x3413),f5(f5(f20(x3411),x3413),x3412))
% 3.01/3.13 [342]~P1(x3421)+E(f5(f5(f25(x3421),x3422),x3423),f5(f5(f25(x3421),x3423),x3422))
% 3.01/3.13 [343]~P2(x3431)+E(f5(f5(f25(x3431),x3432),x3433),f5(f5(f25(x3431),x3433),x3432))
% 3.01/3.13 [345]~P5(x3453,x3451)+P5(f5(f5(f28(x3451),x3452),x3453),x3451)
% 3.01/3.13 [360]~P1(x3602)+P7(x3601,f5(f5(f25(x3602),x3603),x3601),x3602)
% 3.01/3.13 [361]~P2(x3612)+P7(x3611,f5(f5(f25(x3612),x3613),x3611),x3612)
% 3.01/3.13 [362]~P1(x3622)+P7(x3621,f5(f5(f25(x3622),x3621),x3623),x3622)
% 3.01/3.13 [363]~P2(x3632)+P7(x3631,f5(f5(f25(x3632),x3631),x3633),x3632)
% 3.01/3.13 [364]~P2(x3641)+P7(f5(f5(f20(x3641),x3642),x3643),x3643,x3641)
% 3.01/3.13 [365]~P15(x3651)+P7(f5(f5(f20(x3651),x3652),x3653),x3653,x3651)
% 3.01/3.13 [366]~P2(x3661)+P7(f5(f5(f20(x3661),x3662),x3663),x3662,x3661)
% 3.01/3.13 [367]~P15(x3671)+P7(f5(f5(f20(x3671),x3672),x3673),x3672,x3671)
% 3.01/3.13 [380]P5(x3801,x3802)+~P5(f5(f5(f28(x3802),x3803),x3801),x3802)
% 3.01/3.13 [398]~P22(f33(x3982,x3983,x3981))+E(f5(f5(f28(x3981),x3982),x3983),x3983)
% 3.01/3.13 [422]~P11(x4223)+E(f7(f5(x4221,a43),f5(x4222,a43),x4223),f5(f7(x4221,x4222,f40(a2,x4223)),a43))
% 3.01/3.13 [451]E(x4511,x4512)+~E(f5(f5(f28(x4513),x4511),f6(f40(x4513,a1))),f5(f5(f28(x4513),x4512),f6(f40(x4513,a1))))
% 3.01/3.13 [481]~P7(x4812,x4813,f40(x4811,a1))+E(f5(f5(f25(f40(x4811,a1)),x4812),f7(x4813,x4812,f40(x4811,a1))),x4813)
% 3.01/3.13 [549]~P22(f33(x5492,x5493,x5491))+E(f5(f5(f28(x5491),x5492),f7(x5493,f5(f5(f28(x5491),x5492),f6(f40(x5491,a1))),f40(x5491,a1))),x5493)
% 3.01/3.13 [358]~P2(x3581)+E(f5(f5(f20(x3581),x3582),f5(f5(f25(x3581),x3582),x3583)),x3582)
% 3.01/3.13 [359]~P2(x3591)+E(f5(f5(f25(x3591),x3592),f5(f5(f20(x3591),x3592),x3593)),x3592)
% 3.01/3.13 [383]~P4(x3831)+E(f16(f5(f5(f28(x3831),x3832),x3833),x3831),f5(f5(f20(x3831),x3832),f16(x3833,x3831)))
% 3.01/3.13 [384]~P4(x3841)+E(f15(f5(f5(f28(x3841),x3842),x3843),x3841),f5(f5(f25(x3841),x3842),f15(x3843,x3841)))
% 3.01/3.13 [388]~P2(x3881)+E(f5(f5(f20(x3881),x3882),f5(f5(f20(x3881),x3882),x3883)),f5(f5(f20(x3881),x3882),x3883))
% 3.01/3.13 [389]~P15(x3891)+E(f5(f5(f20(x3891),x3892),f5(f5(f20(x3891),x3892),x3893)),f5(f5(f20(x3891),x3892),x3893))
% 3.01/3.13 [390]~P1(x3901)+E(f5(f5(f25(x3901),x3902),f5(f5(f25(x3901),x3902),x3903)),f5(f5(f25(x3901),x3902),x3903))
% 3.01/3.13 [391]~P2(x3911)+E(f5(f5(f25(x3911),x3912),f5(f5(f25(x3911),x3912),x3913)),f5(f5(f25(x3911),x3912),x3913))
% 3.01/3.13 [418]~P7(x4183,x4182,f40(x4181,a1))+E(f5(f5(f20(f40(x4181,a1)),x4182),x4183),x4183)
% 3.01/3.13 [419]~P7(x4192,x4193,f40(x4191,a1))+E(f5(f5(f20(f40(x4191,a1)),x4192),x4193),x4192)
% 3.01/3.13 [420]~P7(x4202,x4203,f40(x4201,a1))+E(f5(f5(f25(f40(x4201,a1)),x4202),x4203),x4203)
% 3.01/3.13 [421]~P7(x4213,x4212,f40(x4211,a1))+E(f5(f5(f25(f40(x4211,a1)),x4212),x4213),x4212)
% 3.01/3.13 [429]E(x4291,f6(f40(x4292,a1)))+~E(f5(f5(f25(f40(x4292,a1)),x4293),x4291),f6(f40(x4292,a1)))
% 3.01/3.13 [430]E(x4301,f6(f40(x4302,a1)))+~E(f5(f5(f25(f40(x4302,a1)),x4301),x4303),f6(f40(x4302,a1)))
% 3.01/3.13 [433]P7(x4331,x4332,f40(x4333,a1))+~E(f5(f5(f25(f40(x4333,a1)),x4331),x4332),x4332)
% 3.01/3.13 [449]~P5(x4493,x4491)+P5(f5(f5(f20(f40(x4491,a1)),x4492),x4493),x4491)
% 3.01/3.13 [450]~P5(x4502,x4501)+P5(f5(f5(f20(f40(x4501,a1)),x4502),x4503),x4501)
% 3.01/3.13 [461]E(f7(x4611,x4612,f40(x4613,a1)),x4611)+~E(f5(f5(f20(f40(x4613,a1)),x4611),x4612),f6(f40(x4613,a1)))
% 3.01/3.13 [493]P5(x4931,x4932)+~P5(f5(f5(f25(f40(x4932,a1)),x4933),x4931),x4932)
% 3.01/3.13 [494]P5(x4941,x4942)+~P5(f5(f5(f25(f40(x4942,a1)),x4941),x4943),x4942)
% 3.01/3.13 [531]E(x5311,x5312)+~P22(f5(f5(f5(f28(x5313),x5311),f6(f40(x5313,a1))),x5312))
% 3.01/3.13 [557]E(x5571,x5572)+~P22(f33(x5571,f5(f5(f28(x5573),x5572),f6(f40(x5573,a1))),x5573))
% 3.01/3.13 [566]E(x5661,f26(f5(f5(f28(x5662),x5663),f6(f40(x5662,a1))),x5662))+~P22(f5(f5(f5(f28(x5662),x5663),f6(f40(x5662,a1))),x5661))
% 3.01/3.13 [483]~P2(x4831)+E(f5(f5(f5(f20(f40(a2,x4831)),x4832),x4833),a43),f5(f5(f20(x4831),f5(x4832,a43)),f5(x4833,a43)))
% 3.01/3.13 [484]~P2(x4841)+E(f5(f5(f5(f25(f40(a2,x4841)),x4842),x4843),a43),f5(f5(f25(x4841),f5(x4842,a43)),f5(x4843,a43)))
% 3.01/3.13 [506]~P4(x5061)+E(f16(f5(f5(f28(x5061),x5062),f5(f5(f28(x5061),x5063),f6(f40(x5061,a1)))),x5061),f5(f5(f20(x5061),x5062),x5063))
% 3.01/3.13 [507]~P4(x5071)+E(f15(f5(f5(f28(x5071),x5072),f5(f5(f28(x5071),x5073),f6(f40(x5071,a1)))),x5071),f5(f5(f25(x5071),x5072),x5073))
% 3.01/3.13 [318]E(x3181,x3182)+~E(f13(x3183,x3181),f13(x3184,x3182))
% 3.01/3.13 [319]E(x3191,x3192)+~E(f14(x3193,x3191),f14(x3194,x3192))
% 3.01/3.13 [320]E(x3201,x3202)+~E(f13(x3201,x3203),f13(x3202,x3204))
% 3.01/3.13 [321]E(x3211,x3212)+~E(f14(x3211,x3213),f14(x3212,x3214))
% 3.01/3.13 [504]~P5(x5042,x5043)+P5(f32(x5041,x5042,x5043,x5044),x5044)
% 3.01/3.13 [485]~P22(f33(x4852,x4854,x4851))+E(f7(f5(f5(f28(x4851),x4852),x4853),x4854,f40(x4851,a1)),f7(x4853,x4854,f40(x4851,a1)))
% 3.01/3.13 [487]~E(f32(x4873,x4871,x4872,x4874),f6(f40(x4874,a1)))+E(x4871,f6(f40(x4872,a1)))
% 3.01/3.13 [521]~P5(f7(x5211,x5214,f40(x5212,a1)),x5212)+P5(f7(x5211,f5(f5(f28(x5212),x5213),x5214),f40(x5212,a1)),x5212)
% 3.01/3.13 [535]~P5(f7(x5351,f5(f5(f28(x5353),x5354),x5352),f40(x5353,a1)),x5353)+P5(f7(x5351,x5352,f40(x5353,a1)),x5353)
% 3.01/3.13 [598]~P8(x5981,x5984,x5983)+E(f17(f5(x5981,x5982),f5(x5981,x5982),x5983,x5983,x5983),f5(x5981,x5982))
% 3.01/3.13 [432]~P7(x4321,x4324,f40(x4322,a1))+P7(x4321,f5(f5(f28(x4322),x4323),x4324),f40(x4322,a1))
% 3.01/3.13 [463]P7(x4631,x4632,f40(x4633,a1))+~P7(f5(f5(f28(x4633),x4634),x4631),x4632,f40(x4633,a1))
% 3.01/3.13 [468]P22(f33(x4681,x4682,x4683))+~P7(f5(f5(f28(x4683),x4681),x4684),x4682,f40(x4683,a1))
% 3.01/3.13 [470]~P7(x4703,x4704,f40(x4701,a1))+P7(f5(f5(f28(x4701),x4702),x4703),f5(f5(f28(x4701),x4702),x4704),f40(x4701,a1))
% 3.01/3.13 [495]E(x4951,f6(f40(x4952,a1)))+E(f32(f8(x4953,x4954,x4952),x4951,x4952,x4954),f5(f5(f28(x4954),x4953),f6(f40(x4954,a1))))
% 3.01/3.13 [498]P22(f33(x4982,x4984,x4981))+E(f7(f5(f5(f28(x4981),x4982),x4983),x4984,f40(x4981,a1)),f5(f5(f28(x4981),x4982),f7(x4983,x4984,f40(x4981,a1))))
% 3.01/3.13 [539]P22(f33(x5391,x5392,x5393))+~P22(f33(x5391,f7(x5392,x5394,f40(x5393,a1)),x5393))
% 3.01/3.13 [558]~P22(f33(x5581,x5582,x5583))+~P22(f33(x5581,f7(x5584,x5582,f40(x5583,a1)),x5583))
% 3.01/3.13 [424]~P22(f5(x4243,x4244))+P22(f5(f5(f5(f28(x4241),x4242),x4243),x4244))
% 3.01/3.13 [442]~P2(x4421)+E(f5(f5(f20(x4421),x4422),f5(f5(f20(x4421),x4423),x4424)),f5(f5(f20(x4421),x4423),f5(f5(f20(x4421),x4422),x4424)))
% 3.01/3.13 [443]~P15(x4431)+E(f5(f5(f20(x4431),x4432),f5(f5(f20(x4431),x4433),x4434)),f5(f5(f20(x4431),x4433),f5(f5(f20(x4431),x4432),x4434)))
% 3.01/3.13 [444]~P1(x4441)+E(f5(f5(f25(x4441),x4442),f5(f5(f25(x4441),x4443),x4444)),f5(f5(f25(x4441),x4443),f5(f5(f25(x4441),x4442),x4444)))
% 3.01/3.13 [445]~P2(x4451)+E(f5(f5(f25(x4451),x4452),f5(f5(f25(x4451),x4453),x4454)),f5(f5(f25(x4451),x4453),f5(f5(f25(x4451),x4452),x4454)))
% 3.01/3.13 [497]~P22(f33(x4971,x4974,x4972))+P22(f33(x4971,f5(f5(f28(x4972),x4973),x4974),x4972))
% 3.01/3.13 [500]P22(f33(x5003,x5002,x5001))+E(f5(f5(f20(f40(x5001,a1)),x5002),f5(f5(f28(x5001),x5003),x5004)),f5(f5(f20(f40(x5001,a1)),x5002),x5004))
% 3.01/3.13 [501]~P3(x5011)+E(f5(f5(f25(x5011),f5(f5(f20(x5011),x5012),x5013)),f5(f5(f20(x5011),x5012),x5014)),f5(f5(f20(x5011),x5012),f5(f5(f25(x5011),x5013),x5014)))
% 3.01/3.13 [502]~P3(x5021)+E(f5(f5(f20(x5021),f5(f5(f25(x5021),x5022),x5023)),f5(f5(f25(x5021),x5022),x5024)),f5(f5(f25(x5021),x5022),f5(f5(f20(x5021),x5023),x5024)))
% 3.01/3.13 [522]P7(x5221,x5222,f40(x5223,a1))+~P7(x5221,f5(f5(f20(f40(x5223,a1)),x5224),x5222),f40(x5223,a1))
% 3.01/3.13 [523]P7(x5231,x5232,f40(x5233,a1))+~P7(x5231,f5(f5(f20(f40(x5233,a1)),x5232),x5234),f40(x5233,a1))
% 3.01/3.13 [524]P7(x5241,x5242,f40(x5243,a1))+~P7(f5(f5(f25(f40(x5243,a1)),x5244),x5241),x5242,f40(x5243,a1))
% 3.01/3.13 [525]P7(x5251,x5252,f40(x5253,a1))+~P7(f5(f5(f25(f40(x5253,a1)),x5251),x5254),x5252,f40(x5253,a1))
% 3.01/3.13 [534]~P7(f7(x5341,x5343,f40(x5342,a1)),x5344,f40(x5342,a1))+P7(x5341,f5(f5(f25(f40(x5342,a1)),x5343),x5344),f40(x5342,a1))
% 3.01/3.13 [551]P7(f7(x5511,x5512,f40(x5513,a1)),x5514,f40(x5513,a1))+~P7(x5511,f5(f5(f25(f40(x5513,a1)),x5512),x5514),f40(x5513,a1))
% 3.01/3.13 [574]~P2(x5741)+P7(f5(f5(f25(x5741),x5742),f5(f5(f20(x5741),x5743),x5744)),f5(f5(f20(x5741),f5(f5(f25(x5741),x5742),x5743)),f5(f5(f25(x5741),x5742),x5744)),x5741)
% 3.01/3.13 [575]~P2(x5751)+P7(f5(f5(f25(x5751),f5(f5(f20(x5751),x5752),x5753)),f5(f5(f20(x5751),x5752),x5754)),f5(f5(f20(x5751),x5752),f5(f5(f25(x5751),x5753),x5754)),x5751)
% 3.01/3.13 [619]P9(x6192,f5(f5(f28(f36(a2)),f21(x6191,x6194,x6193,a2)),f6(f40(f36(a2),a1))),a2)+P22(f5(f5(x6191,f47(x6192,x6191,x6193,x6194)),f56(x6192,x6191,x6193,x6194)))
% 3.01/3.13 [620]P9(x6202,f5(f5(f28(f36(a2)),f21(x6201,x6204,x6203,a2)),f6(f40(f36(a2),a1))),a2)+P22(f5(f5(x6201,f48(x6202,x6201,x6203,x6204)),f54(x6202,x6201,x6203,x6204)))
% 3.01/3.13 [477]~P2(x4771)+E(f5(f5(f20(x4771),f5(f5(f20(x4771),x4772),x4773)),x4774),f5(f5(f20(x4771),x4772),f5(f5(f20(x4771),x4773),x4774)))
% 3.01/3.13 [478]~P15(x4781)+E(f5(f5(f20(x4781),f5(f5(f20(x4781),x4782),x4783)),x4784),f5(f5(f20(x4781),x4782),f5(f5(f20(x4781),x4783),x4784)))
% 3.01/3.13 [479]~P1(x4791)+E(f5(f5(f25(x4791),f5(f5(f25(x4791),x4792),x4793)),x4794),f5(f5(f25(x4791),x4792),f5(f5(f25(x4791),x4793),x4794)))
% 3.01/3.13 [480]~P2(x4801)+E(f5(f5(f25(x4801),f5(f5(f25(x4801),x4802),x4803)),x4804),f5(f5(f25(x4801),x4802),f5(f5(f25(x4801),x4803),x4804)))
% 3.01/3.13 [508]P22(f33(x5082,x5084,x5081))+E(f5(f5(f20(f40(x5081,a1)),f5(f5(f28(x5081),x5082),x5083)),x5084),f5(f5(f20(f40(x5081,a1)),x5083),x5084))
% 3.01/3.13 [517]~P3(x5171)+E(f5(f5(f25(x5171),f5(f5(f20(x5171),x5172),x5173)),f5(f5(f20(x5171),x5174),x5173)),f5(f5(f20(x5171),f5(f5(f25(x5171),x5172),x5174)),x5173))
% 3.01/3.13 [518]~P3(x5181)+E(f5(f5(f20(x5181),f5(f5(f25(x5181),x5182),x5183)),f5(f5(f25(x5181),x5184),x5183)),f5(f5(f25(x5181),f5(f5(f20(x5181),x5182),x5184)),x5183))
% 3.01/3.13 [526]~P22(f5(x5263,x5264))+P22(f5(f5(f5(f25(f40(x5261,a1)),x5262),x5263),x5264))
% 3.01/3.13 [527]~P22(f5(x5272,x5274))+P22(f5(f5(f5(f25(f40(x5271,a1)),x5272),x5273),x5274))
% 3.01/3.13 [537]~P22(f33(x5373,x5372,x5371))+E(f5(f5(f20(f40(x5371,a1)),x5372),f5(f5(f28(x5371),x5373),x5374)),f5(f5(f28(x5371),x5373),f5(f5(f20(f40(x5371,a1)),x5372),x5374)))
% 3.01/3.13 [560]~P22(f33(x5601,x5604,x5602))+P22(f33(x5601,f5(f5(f25(f40(x5602,a1)),x5603),x5604),x5602))
% 3.01/3.13 [561]~P22(f33(x5611,x5613,x5612))+P22(f33(x5611,f5(f5(f25(f40(x5612,a1)),x5613),x5614),x5612))
% 3.01/3.13 [562]~P22(f33(x5622,x5624,x5621))+E(f5(f5(f20(f40(x5621,a1)),f5(f5(f28(x5621),x5622),x5623)),x5624),f5(f5(f28(x5621),x5622),f5(f5(f20(f40(x5621,a1)),x5623),x5624)))
% 3.01/3.13 [568]P22(f5(x5681,x5682))+~P22(f5(f5(f5(f20(f40(x5683,a1)),x5684),x5681),x5682))
% 3.01/3.13 [569]P22(f5(x5691,x5692))+~P22(f5(f5(f5(f20(f40(x5693,a1)),x5691),x5694),x5692))
% 3.01/3.13 [579]P22(f5(x5791,x5792))+~P22(f33(x5792,f5(f5(f20(f40(x5793,a1)),x5794),x5791),x5793))
% 3.01/3.13 [583]P22(f33(x5831,x5832,x5833))+~P22(f33(x5831,f5(f5(f20(f40(x5833,a1)),x5834),x5832),x5833))
% 3.01/3.13 [585]P22(f33(x5851,x5852,x5853))+~P22(f33(x5851,f5(f5(f20(f40(x5853,a1)),x5852),x5854),x5853))
% 3.01/3.13 [607]E(x6071,x6072)+~P22(f5(f9(x6073,f5(f5(f28(x6074),x6071),f6(f40(x6074,a1))),x6074),x6072))
% 3.01/3.13 [591]~P7(x5914,x5912,f40(x5911,a1))+E(f5(f5(f25(f40(x5911,a1)),f5(f5(f20(f40(x5911,a1)),x5912),x5913)),x5914),f5(f5(f20(f40(x5911,a1)),x5912),f5(f5(f25(f40(x5911,a1)),x5913),x5914)))
% 3.01/3.13 [608]P7(x6081,x6082,f40(x6083,a1))+~E(f5(f5(f25(f40(x6083,a1)),f5(f5(f20(f40(x6083,a1)),x6082),x6084)),x6081),f5(f5(f20(f40(x6083,a1)),x6082),f5(f5(f25(f40(x6083,a1)),x6084),x6081)))
% 3.01/3.13 [587]~P7(x5872,x5875,f40(x5873,a1))+P7(f32(x5871,x5872,x5873,x5874),f32(x5871,x5875,x5873,x5874),f40(x5874,a1))
% 3.01/3.13 [548]~P10(x5481,x5482,x5484,x5485)+P10(x5481,f7(x5482,x5483,f40(x5484,a1)),x5484,x5485)
% 3.01/3.13 [556]P7(f5(x5561,x5562),f10(x5563,x5561,x5564,f40(x5565,a1)),f40(x5565,a1))+~P22(f33(x5562,x5563,x5564))
% 3.01/3.13 [571]~P22(f33(x5713,x5714,x5715))+E(f5(f5(f28(x5711),f5(x5712,x5713)),f32(x5712,x5714,x5715,x5711)),f32(x5712,x5714,x5715,x5711))
% 3.01/3.13 [597]~P22(f33(x5972,x5973,x5974))+P22(f33(f5(x5971,x5972),f32(x5971,x5973,x5974,x5975),x5975))
% 3.01/3.13 [408]~P8(x4081,x4084,x4085)+E(f5(f5(x4081,x4082),f5(f5(x4081,x4082),x4083)),f5(f5(x4081,x4082),x4083))
% 3.01/3.13 [520]~P22(f33(x5205,x5204,x5203))+E(f32(f8(x5201,x5202,x5203),x5204,x5203,x5202),f5(f5(f28(x5202),x5201),f6(f40(x5202,a1))))
% 3.01/3.13 [550]P10(x5501,x5502,x5503,x5504)+~P10(x5501,f5(f5(f28(x5503),x5505),x5502),x5503,x5504)
% 3.01/3.13 [582]~P22(f33(x5823,x5824,x5825))+E(f5(f5(f25(f40(x5821,a1)),f5(x5822,x5823)),f10(x5824,x5822,x5825,f40(x5821,a1))),f10(x5824,x5822,x5825,f40(x5821,a1)))
% 3.01/3.13 [576]P10(x5761,x5762,x5763,x5764)+~P10(x5761,f5(f5(f25(f40(x5763,a1)),x5765),x5762),x5763,x5764)
% 3.01/3.13 [577]P10(x5771,x5772,x5773,x5774)+~P10(x5771,f5(f5(f25(f40(x5773,a1)),x5772),x5775),x5773,x5774)
% 3.01/3.13 [611]~P10(x6112,f5(f5(f25(f40(x6115,a1)),x6113),x6114),x6115,x6111)+E(f5(f5(f20(f40(x6111,a1)),f32(x6112,f7(x6113,x6114,f40(x6115,a1)),x6115,x6111)),f32(x6112,f7(x6114,x6113,f40(x6115,a1)),x6115,x6111)),f6(f40(x6111,a1)))
% 3.01/3.13 [618]~P22(f5(x6181,f23(x6182,f21(x6183,x6184,x6185,a35),a35,a2)))+P22(f5(x6181,f5(f5(f5(x6182,x6183),x6184),x6185)))
% 3.01/3.13 [622]~P10(x6221,f5(f5(f28(x6222),x6223),x6224),x6222,x6225)+~P22(f33(f5(x6221,x6223),f32(x6221,f7(x6224,f5(f5(f28(x6222),x6223),f6(f40(x6222,a1))),f40(x6222,a1)),x6222,x6225),x6225))
% 3.01/3.13 [633]~P9(x6331,f5(f5(f28(f36(x6332)),f21(f22(x6333,x6334,x6332),x6335,x6333,x6332)),f6(f40(f36(x6332),a1))),x6332)+P9(x6331,f5(f5(f28(f36(x6332)),f21(x6333,f13(x6334,x6335),f22(x6333,f17(a27,x6334,a1,a1,a38),x6332),x6332)),f6(f40(f36(x6332),a1))),x6332)
% 3.01/3.13 [369]E(x3691,x3692)+~E(f12(x3693,x3694,x3691),f12(x3695,x3696,x3692))
% 3.01/3.13 [370]E(x3701,x3702)+~E(f12(x3703,x3701,x3704),f12(x3705,x3702,x3706))
% 3.01/3.13 [371]E(x3711,x3712)+~E(f12(x3711,x3713,x3714),f12(x3712,x3715,x3716))
% 3.01/3.13 [615]~P10(f17(x6151,x6152,x6155,x6156,x6154),x6153,x6154,x6156)+P10(x6151,f32(x6152,x6153,x6154,x6155),x6155,x6156)
% 3.01/3.13 [540]E(x5401,x5402)+~E(f21(x5403,x5404,x5401,x5405),f21(x5406,x5407,x5402,x5405))
% 3.01/3.13 [541]E(x5411,x5412)+~E(f21(x5413,x5411,x5414,x5415),f21(x5416,x5412,x5417,x5415))
% 3.01/3.13 [542]E(x5421,x5422)+~E(f21(x5421,x5423,x5424,x5425),f21(x5422,x5426,x5427,x5425))
% 3.01/3.13 [612]~E(f17(x6121,x6122,x6126,x6127,x6128),f17(x6124,x6125,x6129,x6127,x6128))+E(f5(x6121,f5(x6122,x6123)),f5(x6124,f5(x6125,x6123)))
% 3.01/3.13 [635]~P6(x6354,x6351,x6355,x6356,x6357,x6358,x6353,x6359,x6352)+E(f5(x6351,f6(f40(x6352,a1))),x6353)
% 3.01/3.13 [636]~P6(x6361,x6364,x6365,x6366,x6367,x6368,x6369,x6363,x6362)+E(f5(x6361,f6(f40(x6362,a1))),x6363)
% 3.01/3.13 [639]~P6(x6394,x6391,x6395,x6396,x6397,x6398,x6399,x63910,x6392)+E(f5(x6391,f5(f5(f28(x6392),x6393),f6(f40(x6392,a1)))),x6393)
% 3.01/3.13 [640]~P6(x6401,x6404,x6405,x6406,x6407,x6408,x6409,x64010,x6402)+E(f5(x6401,f5(f5(f28(x6402),x6403),f6(f40(x6402,a1)))),x6403)
% 3.01/3.13 [616]~E(f5(x6161,f5(x6162,x6166)),f5(x6167,f5(x6168,x61611)))+E(f5(f17(x6161,x6162,x6163,x6164,x6165),x6166),f5(f17(x6167,x6168,x6169,x6164,x61610),x61611))
% 3.01/3.13 [637]~P6(x6376,x6371,x6377,x6378,x6379,x6375,x63710,x63711,x6372)+E(f5(x6371,f5(f5(f28(x6372),x6373),x6374)),f5(f5(x6375,x6373),f5(x6371,x6374)))
% 3.01/3.13 [638]~P6(x6381,x6386,x6387,x6388,x6385,x6389,x63810,x63811,x6382)+E(f5(x6381,f5(f5(f28(x6382),x6383),x6384)),f5(f5(x6385,x6383),f5(x6381,x6384)))
% 3.01/3.13 [643]~P6(x6436,x6431,x6437,x6438,x6439,x6435,x64310,x64311,x6432)+E(f5(x6431,f5(f5(f28(x6432),x6433),f5(f5(f28(x6432),x6434),f6(f40(x6432,a1))))),f5(f5(x6435,x6433),x6434))
% 3.01/3.13 [644]~P6(x6441,x6446,x6447,x6448,x6445,x6449,x64410,x64411,x6442)+E(f5(x6441,f5(f5(f28(x6442),x6443),f5(f5(f28(x6442),x6444),f6(f40(x6442,a1))))),f5(f5(x6445,x6443),x6444))
% 3.01/3.13 [317]~P12(x3172)+~P12(x3171)+P12(f40(x3171,x3172))
% 3.01/3.13 [344]P7(x3442,x3441,x3443)+~P20(x3443)+P7(x3441,x3442,x3443)
% 3.01/3.13 [322]~P20(x3223)+E(x3221,x3222)+~E(f30(x3221,x3223),f30(x3222,x3223))
% 3.01/3.13 [357]P5(x3571,x3572)+~P5(x3573,x3572)+~P7(x3571,x3573,f40(x3572,a1))
% 3.01/3.13 [396]~P20(x3962)+~P7(x3961,x3963,x3962)+P7(f30(x3961,x3962),f30(x3963,x3962),f40(x3962,a1))
% 3.01/3.13 [410]E(x4101,x4102)+~P7(x4101,x4102,f40(x4103,a1))+~P7(x4102,x4101,f40(x4103,a1))
% 3.01/3.13 [415]~P4(x4153)+P7(x4151,f15(x4152,x4153),x4153)+~P22(f33(x4151,x4152,x4153))
% 3.01/3.13 [416]~P4(x4162)+P7(f16(x4161,x4162),x4163,x4162)+~P22(f33(x4163,x4161,x4162))
% 3.01/3.13 [417]~P20(x4173)+P7(x4171,x4172,x4173)+~P7(f30(x4171,x4173),f30(x4172,x4173),f40(x4173,a1))
% 3.01/3.13 [581]~P5(x5812,x5813)+P10(x5811,x5812,x5813,x5813)+~P7(x5812,f32(x5811,x5812,x5813,x5813),f40(x5813,a1))
% 3.01/3.13 [346]P7(x3461,x3462,x3463)+~P16(x3463)+E(f31(x3461,x3462,x3463),f6(f40(x3463,a1)))
% 3.01/3.13 [347]P7(x3472,x3473,x3471)+~P16(x3471)+E(f6(f40(x3471,a1)),f31(x3472,x3473,x3471))
% 3.01/3.13 [394]~P16(x3943)+~P7(x3941,x3942,x3943)+~E(f31(x3941,x3942,x3943),f6(f40(x3943,a1)))
% 3.01/3.13 [395]~P16(x3951)+~P7(x3952,x3953,x3951)+~E(f6(f40(x3951,a1)),f31(x3952,x3953,x3951))
% 3.01/3.13 [431]P5(x4311,x4312)+~P5(x4313,x4312)+~P5(f7(x4311,x4313,f40(x4312,a1)),x4312)
% 3.01/3.13 [338]~P14(x3382)+E(x3381,f6(x3382))+~E(f5(f5(f25(x3382),x3383),x3381),f6(x3382))
% 3.01/3.13 [339]~P14(x3392)+E(x3391,f6(x3392))+~E(f5(f5(f25(x3392),x3391),x3393),f6(x3392))
% 3.01/3.13 [348]~P15(x3483)+P7(x3481,x3482,x3483)+~E(f5(f5(f20(x3483),x3481),x3482),x3481)
% 3.01/3.13 [349]~P1(x3493)+P7(x3491,x3492,x3493)+~E(f5(f5(f25(x3493),x3491),x3492),x3492)
% 3.01/3.13 [350]~P15(x3501)+~P7(x3503,x3502,x3501)+E(f5(f5(f20(x3501),x3502),x3503),x3503)
% 3.01/3.13 [351]~P15(x3511)+~P7(x3512,x3513,x3511)+E(f5(f5(f20(x3511),x3512),x3513),x3512)
% 3.01/3.13 [352]~P1(x3521)+~P7(x3522,x3523,x3521)+E(f5(f5(f25(x3521),x3522),x3523),x3523)
% 3.01/3.13 [353]~P1(x3531)+~P7(x3533,x3532,x3531)+E(f5(f5(f25(x3531),x3532),x3533),x3532)
% 3.01/3.13 [505]~P7(x5051,f5(f5(f28(x5052),x5053),f6(f40(x5052,a1))),f40(x5052,a1))+E(x5051,f6(f40(x5052,a1)))+E(x5051,f5(f5(f28(x5052),x5053),f6(f40(x5052,a1))))
% 3.01/3.13 [460]~P5(x4603,x4601)+~P5(x4602,x4601)+P5(f5(f5(f25(f40(x4601,a1)),x4602),x4603),x4601)
% 3.01/3.13 [397]~P9(x3971,x3974,x3973)+P9(x3971,x3972,x3973)+~P9(x3974,x3972,x3973)
% 3.01/3.13 [372]~P18(x3724)+E(x3721,x3722)+~E(f7(x3723,x3723,x3724),f7(x3721,x3722,x3724))
% 3.01/3.13 [373]~P18(x3733)+E(x3731,x3732)+~E(f7(x3731,x3732,x3733),f7(x3734,x3734,x3733))
% 3.01/3.13 [382]~P7(x3823,x3821,f40(x3824,a1))+P22(f5(x3821,x3822))+~P22(f5(x3823,x3822))
% 3.01/3.13 [448]~P7(x4481,x4484,f40(x4483,a1))+~P7(x4484,x4482,f40(x4483,a1))+P7(x4481,x4482,f40(x4483,a1))
% 3.01/3.13 [474]~P7(x4744,x4742,f40(x4743,a1))+P22(f33(x4741,x4742,x4743))+~P22(f33(x4741,x4744,x4743))
% 3.01/3.13 [588]P5(x5881,x5882)+~P10(x5883,x5881,x5882,x5884)+~P5(f32(x5883,x5881,x5882,x5884),x5884)
% 3.01/3.13 [423]P9(x4231,x4232,x4233)+~P9(x4231,x4234,x4233)+~P7(x4232,x4234,f40(f36(x4233),a1))
% 3.01/3.13 [467]~P4(x4674)+E(f10(x4671,f8(x4673,x4674,x4672),x4672,x4674),x4673)+E(x4671,f6(f40(x4672,a1)))
% 3.01/3.13 [491]~P7(x4911,x4912,f40(x4914,a1))+~P7(x4913,x4911,f40(x4914,a1))+E(f7(x4911,f7(x4912,x4913,f40(x4914,a1)),f40(x4914,a1)),x4913)
% 3.01/3.13 [411]~P1(x4112)+~P7(x4111,x4114,x4112)+P7(x4111,f5(f5(f25(x4112),x4113),x4114),x4112)
% 3.01/3.13 [412]~P1(x4122)+~P7(x4121,x4123,x4122)+P7(x4121,f5(f5(f25(x4122),x4123),x4124),x4122)
% 3.01/3.13 [413]~P15(x4131)+~P7(x4133,x4134,x4131)+P7(f5(f5(f20(x4131),x4132),x4133),x4134,x4131)
% 3.01/3.13 [414]~P15(x4141)+~P7(x4142,x4144,x4141)+P7(f5(f5(f20(x4141),x4142),x4143),x4144,x4141)
% 3.01/3.13 [435]~P15(x4353)+P7(x4351,x4352,x4353)+~P7(x4351,f5(f5(f20(x4353),x4354),x4352),x4353)
% 3.01/3.13 [437]~P15(x4373)+P7(x4371,x4372,x4373)+~P7(x4371,f5(f5(f20(x4373),x4372),x4374),x4373)
% 3.01/3.13 [439]~P1(x4393)+P7(x4391,x4392,x4393)+~P7(f5(f5(f25(x4393),x4394),x4391),x4392,x4393)
% 3.01/3.13 [441]~P1(x4413)+P7(x4411,x4412,x4413)+~P7(f5(f5(f25(x4413),x4411),x4414),x4412,x4413)
% 3.01/3.13 [490]P7(x4902,x4904,f40(x4903,a1))+P22(f33(x4901,x4902,x4903))+~P7(x4902,f5(f5(f28(x4903),x4901),x4904),f40(x4903,a1))
% 3.01/3.13 [492]~P7(x4923,x4924,f40(x4921,a1))+~P22(f33(x4922,x4924,x4921))+P7(f5(f5(f28(x4921),x4922),x4923),x4924,f40(x4921,a1))
% 3.01/3.13 [533]~P22(f33(x5331,x5334,x5333))+P22(f33(x5331,x5332,x5333))+P22(f33(x5331,f7(x5334,x5332,f40(x5333,a1)),x5333))
% 3.01/3.13 [578]P7(f7(x5781,f5(f5(f28(x5782),x5783),f6(f40(x5782,a1))),f40(x5782,a1)),x5784,f40(x5782,a1))+~P22(f33(x5783,x5781,x5782))+~P7(x5781,f5(f5(f28(x5782),x5783),x5784),f40(x5782,a1))
% 3.01/3.13 [600]~P7(f7(x6001,f5(f5(f28(x6002),x6003),f6(f40(x6002,a1))),f40(x6002,a1)),x6004,f40(x6002,a1))+~P22(f33(x6003,x6001,x6002))+P7(x6001,f5(f5(f28(x6002),x6003),x6004),f40(x6002,a1))
% 3.01/3.13 [469]E(x4691,x4692)+P22(f5(x4693,x4691))+~P22(f5(f5(f5(f28(x4694),x4692),x4693),x4691))
% 3.01/3.13 [512]~P7(x5121,x5123,f40(x5122,a1))+~P7(x5121,x5124,f40(x5122,a1))+P7(x5121,f5(f5(f20(f40(x5122,a1)),x5123),x5124),f40(x5122,a1))
% 3.01/3.13 [514]~P7(x5142,x5144,f40(x5141,a1))+~P7(x5143,x5144,f40(x5141,a1))+P7(f5(f5(f25(f40(x5141,a1)),x5142),x5143),x5144,f40(x5141,a1))
% 3.01/3.13 [515]E(x5151,x5152)+P22(f33(x5151,x5153,x5154))+~P22(f33(x5151,f5(f5(f28(x5154),x5152),x5153),x5154))
% 3.01/3.13 [516]~P22(f33(x5164,x5163,x5161))+~P22(f33(x5164,x5162,x5161))+~E(f5(f5(f20(f40(x5161,a1)),x5162),x5163),f6(f40(x5161,a1)))
% 3.01/3.13 [559]~P9(x5591,x5594,x5592)+P9(x5591,f5(f5(f28(f36(x5592)),x5593),x5594),x5592)+~P9(x5591,f5(f5(f28(f36(x5592)),x5593),f6(f40(f36(x5592),a1))),x5592)
% 3.01/3.13 [530]~P22(f5(x5303,x5304))+~P22(f5(x5302,x5304))+P22(f5(f5(f5(f20(f40(x5301,a1)),x5302),x5303),x5304))
% 3.01/3.13 [565]~P22(f5(x5654,x5651))+~P22(f33(x5651,x5653,x5652))+P22(f33(x5651,f5(f5(f20(f40(x5652,a1)),x5653),x5654),x5652))
% 3.01/3.13 [570]P22(f5(x5701,x5702))+P22(f5(x5703,x5702))+~P22(f5(f5(f5(f25(f40(x5704,a1)),x5701),x5703),x5702))
% 3.01/3.13 [573]~P22(f33(x5731,x5734,x5732))+~P22(f33(x5731,x5733,x5732))+P22(f33(x5731,f5(f5(f20(f40(x5732,a1)),x5733),x5734),x5732))
% 3.01/3.13 [592]P22(f33(x5921,x5922,x5923))+P22(f33(x5921,x5924,x5923))+~P22(f33(x5921,f5(f5(f25(f40(x5923,a1)),x5922),x5924),x5923))
% 3.01/3.13 [407]~P13(x4074)+P7(f5(x4071,x4072),f5(x4073,x4072),x4074)+~P7(x4071,x4073,f40(x4075,x4074))
% 3.01/3.13 [462]~P16(x4623)+P7(x4621,x4622,x4623)+P7(f31(x4621,x4622,x4623),f31(x4624,x4625,x4623),f40(x4623,a1))
% 3.01/3.13 [536]~P4(x5365)+P7(f5(x5361,x5362),f10(x5363,x5361,x5364,x5365),x5365)+~P22(f33(x5362,x5363,x5364))
% 3.01/3.13 [538]P10(x5381,x5382,x5383,x5384)+~P10(x5381,x5385,x5383,x5384)+~P7(x5382,x5385,f40(x5383,a1))
% 3.01/3.13 [567]P5(x5671,x5672)+~P5(x5673,x5674)+~P7(x5671,f32(x5675,x5673,x5674,x5672),f40(x5672,a1))
% 3.01/3.13 [519]~P7(x5191,x5194,f40(x5193,a1))+~P7(x5195,x5192,f40(x5193,a1))+P7(f7(x5191,x5192,f40(x5193,a1)),f7(x5194,x5195,f40(x5193,a1)),f40(x5193,a1))
% 3.01/3.13 [529]~P22(f33(x5292,x5294,x5295))+E(f5(x5291,x5292),f6(f40(x5293,a1)))+~E(f10(x5294,x5291,x5295,f40(x5293,a1)),f6(f40(x5293,a1)))
% 3.01/3.13 [552]E(x5521,x5522)+E(x5521,x5523)+~E(f5(f5(f28(x5524),x5525),f5(f5(f28(x5524),x5521),f6(f40(x5524,a1)))),f5(f5(f28(x5524),x5523),f5(f5(f28(x5524),x5522),f6(f40(x5524,a1)))))
% 3.01/3.13 [553]E(x5531,x5532)+E(x5533,x5532)+~E(f5(f5(f28(x5534),x5533),f5(f5(f28(x5534),x5531),f6(f40(x5534,a1)))),f5(f5(f28(x5534),x5535),f5(f5(f28(x5534),x5532),f6(f40(x5534,a1)))))
% 3.01/3.13 [554]E(x5541,x5542)+E(x5543,x5542)+~E(f5(f5(f28(x5544),x5543),f5(f5(f28(x5544),x5541),f6(f40(x5544,a1)))),f5(f5(f28(x5544),x5542),f5(f5(f28(x5544),x5545),f6(f40(x5544,a1)))))
% 3.01/3.13 [555]E(x5551,x5552)+E(x5551,x5553)+~E(f5(f5(f28(x5554),x5551),f5(f5(f28(x5554),x5555),f6(f40(x5554,a1)))),f5(f5(f28(x5554),x5553),f5(f5(f28(x5554),x5552),f6(f40(x5554,a1)))))
% 3.01/3.13 [563]~P7(x5632,x5634,f40(x5631,a1))+~P7(x5633,x5635,f40(x5631,a1))+P7(f5(f5(f20(f40(x5631,a1)),x5632),x5633),f5(f5(f20(f40(x5631,a1)),x5634),x5635),f40(x5631,a1))
% 3.01/3.13 [564]~P7(x5642,x5644,f40(x5641,a1))+~P7(x5643,x5645,f40(x5641,a1))+P7(f5(f5(f25(f40(x5641,a1)),x5642),x5643),f5(f5(f25(f40(x5641,a1)),x5644),x5645),f40(x5641,a1))
% 3.01/3.13 [604]E(x6041,x6042)+~E(f32(x6043,x6041,x6044,x6045),f32(x6043,x6042,x6044,x6045))+~P10(x6043,f5(f5(f25(f40(x6044,a1)),x6041),x6042),x6044,x6045)
% 3.01/3.13 [613]~P10(x6131,x6134,x6132,x6135)+P10(x6131,f5(f5(f28(x6132),x6133),x6134),x6132,x6135)+P22(f33(f5(x6131,x6133),f32(x6131,f7(x6134,f5(f5(f28(x6132),x6133),f6(f40(x6132,a1))),f40(x6132,a1)),x6132,x6135),x6135))
% 3.01/3.13 [623]~P9(x6233,f5(f5(f28(f36(a2)),f21(x6232,x6234,x6235,a2)),f6(f40(f36(a2),a1))),a2)+P9(x6233,f5(f5(f28(f36(a2)),f21(x6231,x6234,x6235,a2)),f6(f40(f36(a2),a1))),a2)+P22(f5(f5(x6231,f49(x6231,x6232)),f53(x6231,x6232)))
% 3.01/3.13 [624]~P9(x6241,f5(f5(f28(f36(a2)),f21(x6245,x6243,x6244,a2)),f6(f40(f36(a2),a1))),a2)+P9(x6241,f5(f5(f28(f36(a2)),f21(x6242,x6243,x6244,a2)),f6(f40(f36(a2),a1))),a2)+~P22(f5(f5(x6245,f49(x6242,x6245)),f53(x6242,x6245)))
% 3.01/3.13 [614]~P10(x6142,x6146,x6145,x6143)+~P10(x6141,f32(x6142,x6146,x6145,x6143),x6143,x6144)+P10(f17(x6141,x6142,x6143,x6144,x6145),x6146,x6145,x6144)
% 3.01/3.13 [589]~P7(f32(x5891,x5895,x5896,x5894),x5893,f40(x5894,a1))+~P22(f33(x5892,x5895,x5896))+P22(f33(f5(x5891,x5892),x5893,x5894))
% 3.01/3.13 [590]P7(f5(x5901,x5902),x5903,f40(x5904,a1))+~P7(f10(x5905,x5901,x5906,f40(x5904,a1)),x5903,f40(x5904,a1))+~P22(f33(x5902,x5905,x5906))
% 3.01/3.13 [602]~P22(f33(x6026,x6021,x6023))+~P22(f5(f5(x6022,x6026),x6025))+P22(f5(f10(x6021,x6022,x6023,f40(x6024,a1)),x6025))
% 3.01/3.13 [606]~P22(f33(x6066,x6062,x6064))+~P22(f33(x6061,f5(x6063,x6066),x6065))+P22(f33(x6061,f10(x6062,x6063,x6064,f40(x6065,a1)),x6065))
% 3.01/3.13 [626]~P9(x6265,f5(f5(f28(f36(a2)),f21(x6262,x6266,x6264,a2)),f6(f40(f36(a2),a1))),a2)+P9(x6265,f5(f5(f28(f36(a2)),f21(x6261,x6266,x6263,a2)),f6(f40(f36(a2),a1))),a2)+P22(f5(f5(x6261,f52(x6261,x6262,x6263,x6264)),f51(x6261,x6262,x6263,x6264)))
% 3.01/3.13 [628]~P9(x6281,f5(f5(f28(f36(a2)),f21(x6285,x6283,x6286,a2)),f6(f40(f36(a2),a1))),a2)+P9(x6281,f5(f5(f28(f36(a2)),f21(x6282,x6283,x6284,a2)),f6(f40(f36(a2),a1))),a2)+~P22(f5(f5(x6284,f52(x6282,x6285,x6284,x6286)),f50(x6282,x6285,x6284,x6286)))
% 3.01/3.13 [631]~P9(x6311,f5(f5(f28(f36(a2)),f21(x6315,x6313,x6316,a2)),f6(f40(f36(a2),a1))),a2)+P9(x6311,f5(f5(f28(f36(a2)),f21(x6312,x6313,x6314,a2)),f6(f40(f36(a2),a1))),a2)+~P22(f5(f5(x6314,f47(x6311,x6312,x6314,x6313)),f57(x6311,x6312,x6314,x6313,x6315,x6316)))
% 3.01/3.13 [632]~P9(x6321,f5(f5(f28(f36(a2)),f21(x6325,x6323,x6326,a2)),f6(f40(f36(a2),a1))),a2)+P9(x6321,f5(f5(f28(f36(a2)),f21(x6322,x6323,x6324,a2)),f6(f40(f36(a2),a1))),a2)+~P22(f5(f5(x6324,f48(x6321,x6322,x6324,x6323)),f55(x6321,x6322,x6324,x6323,x6325,x6326)))
% 3.01/3.13 [627]~P9(x6271,f5(f5(f28(f36(x6272)),f21(x6273,x6274,x6277,x6272)),f6(f40(f36(x6272),a1))),x6272)+P9(x6271,f5(f5(f28(f36(x6272)),f21(x6273,f14(x6274,x6275),x6276,x6272)),f6(f40(f36(x6272),a1))),x6272)+~P9(x6271,f5(f5(f28(f36(x6272)),f21(x6277,x6275,x6276,x6272)),f6(f40(f36(x6272),a1))),x6272)
% 3.01/3.13 [634]~P9(x6341,f5(f5(f28(f36(x6342)),f21(f22(x6343,x6344,x6342),x6345,x6347,x6342)),f6(f40(f36(x6342),a1))),x6342)+P9(x6341,f5(f5(f28(f36(x6342)),f21(x6343,f12(x6344,x6345,x6346),x6347,x6342)),f6(f40(f36(x6342),a1))),x6342)+~P9(x6341,f5(f5(f28(f36(x6342)),f21(f22(x6343,f17(a27,x6344,a1,a1,a38),x6342),x6346,x6347,x6342)),f6(f40(f36(x6342),a1))),x6342)
% 3.01/3.13 [641]~P6(x6416,x6413,x6411,x6417,x6418,x6419,x64110,x64111,x6415)+~P22(f33(x6412,x6414,x6415))+P22(f5(f5(x6411,x6412),f5(x6413,x6414)))
% 3.01/3.13 [642]~P6(x6422,x6426,x6421,x6427,x6428,x6429,x64210,x64211,x6425)+~P22(f33(x6424,x6423,x6425))+P22(f5(f5(x6421,f5(x6422,x6423)),x6424))
% 3.01/3.13 [392]~P20(x3922)+~P5(x3921,x3922)+E(x3921,f6(f40(x3922,a1)))+P22(f33(f18(x3921,x3922),x3921,x3922))
% 3.01/3.13 [393]~P20(x3932)+~P5(x3931,x3932)+E(x3931,f6(f40(x3932,a1)))+P22(f33(f19(x3931,x3932),x3931,x3932))
% 3.01/3.13 [376]~P7(x3762,x3761,x3763)+~P7(x3761,x3762,x3763)+E(x3761,x3762)+~P16(x3763)
% 3.01/3.13 [425]~P20(x4253)+~P5(x4252,x4253)+P7(x4251,f18(x4252,x4253),x4253)+~P22(f33(x4251,x4252,x4253))
% 3.01/3.13 [426]~P20(x4262)+~P5(x4261,x4262)+P7(f19(x4261,x4262),x4263,x4262)+~P22(f33(x4263,x4261,x4262))
% 3.01/3.13 [603]~P5(x6032,x6033)+~P10(x6031,x6032,x6033,x6033)+~P7(f32(x6031,x6032,x6033,x6033),x6032,f40(x6033,a1))+E(f32(x6031,x6032,x6033,x6033),x6032)
% 3.01/3.13 [503]~P15(x5031)+~P5(x5032,x5031)+~P22(f33(x5033,x5032,x5031))+P7(f34(f9(f20(x5031),x5032,x5031),x5031),x5033,x5031)
% 3.01/3.13 [404]~P16(x4043)+~P7(x4041,x4044,x4043)+P7(x4041,x4042,x4043)+~P7(x4044,x4042,x4043)
% 3.01/3.13 [405]~P21(x4053)+~P7(x4051,x4054,x4053)+P7(x4051,x4052,x4053)+~P7(x4054,x4052,x4053)
% 3.01/3.13 [455]~P15(x4552)+~P7(x4551,x4554,x4552)+~P7(x4551,x4553,x4552)+P7(x4551,f5(f5(f20(x4552),x4553),x4554),x4552)
% 3.01/3.13 [458]~P1(x4581)+~P7(x4583,x4584,x4581)+~P7(x4582,x4584,x4581)+P7(f5(f5(f25(x4581),x4582),x4583),x4584,x4581)
% 3.01/3.13 [466]E(x4661,x4662)+P22(f33(x4663,x4661,x4664))+P22(f33(x4663,x4662,x4664))+~E(f5(f5(f28(x4664),x4663),x4661),f5(f5(f28(x4664),x4663),x4662))
% 3.01/3.13 [446]~P19(x4463)+~P7(x4465,x4464,x4463)+P7(x4461,x4462,x4463)+~E(f7(x4464,x4465,x4463),f7(x4462,x4461,x4463))
% 3.01/3.13 [447]~P19(x4473)+~P7(x4475,x4474,x4473)+P7(x4471,x4472,x4473)+~E(f7(x4472,x4471,x4473),f7(x4474,x4475,x4473))
% 3.01/3.13 [488]~P16(x4883)+~P7(x4884,x4881,x4883)+~P7(x4882,x4885,x4883)+P7(f31(x4881,x4882,x4883),f31(x4884,x4885,x4883),f40(x4883,a1))
% 3.01/3.13 [509]~P16(x5093)+P7(x5091,x5092,x5093)+~P7(x5094,x5091,x5093)+~P7(f31(x5094,x5091,x5093),f31(x5095,x5092,x5093),f40(x5093,a1))
% 3.01/3.13 [510]~P16(x5103)+P7(x5101,x5102,x5103)+~P7(x5102,x5104,x5103)+~P7(f31(x5102,x5104,x5103),f31(x5101,x5105,x5103),f40(x5103,a1))
% 3.01/3.13 [580]~P5(x5804,x5805)+P5(f5(x5801,x5802),x5803)+~P22(f33(x5802,x5804,x5805))+~P5(f10(x5804,x5801,x5805,f40(x5803,a1)),x5803)
% 3.01/3.13 [621]~P10(x6211,x6214,x6212,x6215)+~P10(x6211,x6213,x6212,x6215)+P10(x6211,f5(f5(f25(f40(x6212,a1)),x6213),x6214),x6212,x6215)+~E(f5(f5(f20(f40(x6215,a1)),f32(x6211,f7(x6213,x6214,f40(x6212,a1)),x6212,x6215)),f32(x6211,f7(x6214,x6213,f40(x6212,a1)),x6212,x6215)),f6(f40(x6215,a1)))
% 3.01/3.13 [609]~P10(x6091,x6096,x6093,x6094)+~P7(x6092,x6096,f40(x6093,a1))+~P7(x6095,x6096,f40(x6093,a1))+E(f7(f32(x6091,x6092,x6093,x6094),f32(x6091,x6095,x6093,x6094),f40(x6094,a1)),f32(x6091,f7(x6092,x6095,f40(x6093,a1)),x6093,x6094))
% 3.01/3.13 [610]~P10(x6102,x6106,x6104,x6101)+~P7(x6103,x6106,f40(x6104,a1))+~P7(x6105,x6106,f40(x6104,a1))+E(f5(f5(f20(f40(x6101,a1)),f32(x6102,x6103,x6104,x6101)),f32(x6102,x6105,x6104,x6101)),f32(x6102,f5(f5(f20(f40(x6104,a1)),x6103),x6105),x6104,x6101))
% 3.01/3.13 [625]~P9(x6256,f5(f5(f28(f36(a2)),f21(x6254,x6257,x6251,a2)),f6(f40(f36(a2),a1))),a2)+P9(x6256,f5(f5(f28(f36(a2)),f21(x6253,x6257,x6255,a2)),f6(f40(f36(a2),a1))),a2)+~P22(f5(f5(x6254,x6252),f51(x6253,x6254,x6255,x6251)))+P22(f5(f5(x6251,x6252),f50(x6253,x6254,x6255,x6251)))
% 3.01/3.13 [629]P9(x6293,f5(f5(f28(f36(a2)),f21(x6294,x6296,x6295,a2)),f6(f40(f36(a2),a1))),a2)+~P9(x6293,f5(f5(f28(f36(a2)),f21(x6297,x6296,x6291,a2)),f6(f40(f36(a2),a1))),a2)+~P22(f5(f5(x6297,x6292),f54(x6293,x6294,x6295,x6296)))+P22(f5(f5(x6291,x6292),f55(x6293,x6294,x6295,x6296,x6297,x6291)))
% 3.01/3.13 [630]P9(x6303,f5(f5(f28(f36(a2)),f21(x6304,x6306,x6305,a2)),f6(f40(f36(a2),a1))),a2)+~P9(x6303,f5(f5(f28(f36(a2)),f21(x6307,x6306,x6301,a2)),f6(f40(f36(a2),a1))),a2)+~P22(f5(f5(x6307,x6302),f56(x6303,x6304,x6305,x6306)))+P22(f5(f5(x6301,x6302),f57(x6303,x6304,x6305,x6306,x6307,x6301)))
% 3.01/3.13 [427]~P20(x4272)+~P5(x4273,x4272)+P7(f19(x4273,x4272),f19(x4271,x4272),x4272)+~P7(x4271,x4273,f40(x4272,a1))+E(x4271,f6(f40(x4272,a1)))
% 3.01/3.13 [428]~P20(x4282)+~P5(x4283,x4282)+P7(f18(x4281,x4282),f18(x4283,x4282),x4282)+~P7(x4281,x4283,f40(x4282,a1))+E(x4281,f6(f40(x4282,a1)))
% 3.01/3.13 [546]E(x5461,x5462)+~P10(x5463,x5464,x5465,x5466)+~E(f5(x5463,x5461),f5(x5463,x5462))+~P22(f33(x5462,x5464,x5465))+~P22(f33(x5461,x5464,x5465))
% 3.01/3.13 [547]~P15(x5472)+~P5(x5471,x5472)+P7(x5473,x5474,x5472)+~P22(f33(x5474,x5471,x5472))+~P7(x5473,f34(f9(f20(x5472),x5471,x5472),x5472),x5472)+E(x5471,f6(f40(x5472,a1)))
% 3.01/3.13 %EqnAxiom
% 3.01/3.13 [1]E(x11,x11)
% 3.01/3.13 [2]E(x22,x21)+~E(x21,x22)
% 3.01/3.13 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 3.01/3.13 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 3.01/3.13 [5]~E(x51,x52)+E(f5(x51,x53),f5(x52,x53))
% 3.01/3.13 [6]~E(x61,x62)+E(f5(x63,x61),f5(x63,x62))
% 3.01/3.13 [7]~E(x71,x72)+E(f6(x71),f6(x72))
% 3.01/3.13 [8]~E(x81,x82)+E(f40(x81,x83),f40(x82,x83))
% 3.01/3.13 [9]~E(x91,x92)+E(f40(x93,x91),f40(x93,x92))
% 3.01/3.13 [10]~E(x101,x102)+E(f25(x101),f25(x102))
% 3.01/3.13 [11]~E(x111,x112)+E(f20(x111),f20(x112))
% 3.01/3.13 [12]~E(x121,x122)+E(f33(x121,x123,x124),f33(x122,x123,x124))
% 3.01/3.13 [13]~E(x131,x132)+E(f33(x133,x131,x134),f33(x133,x132,x134))
% 3.01/3.13 [14]~E(x141,x142)+E(f33(x143,x144,x141),f33(x143,x144,x142))
% 3.01/3.13 [15]~E(x151,x152)+E(f28(x151),f28(x152))
% 3.01/3.13 [16]~E(x161,x162)+E(f10(x161,x163,x164,x165),f10(x162,x163,x164,x165))
% 3.01/3.13 [17]~E(x171,x172)+E(f10(x173,x171,x174,x175),f10(x173,x172,x174,x175))
% 3.01/3.13 [18]~E(x181,x182)+E(f10(x183,x184,x181,x185),f10(x183,x184,x182,x185))
% 3.01/3.13 [19]~E(x191,x192)+E(f10(x193,x194,x195,x191),f10(x193,x194,x195,x192))
% 3.01/3.13 [20]~E(x201,x202)+E(f32(x201,x203,x204,x205),f32(x202,x203,x204,x205))
% 3.01/3.13 [21]~E(x211,x212)+E(f32(x213,x211,x214,x215),f32(x213,x212,x214,x215))
% 3.01/3.13 [22]~E(x221,x222)+E(f32(x223,x224,x221,x225),f32(x223,x224,x222,x225))
% 3.01/3.13 [23]~E(x231,x232)+E(f32(x233,x234,x235,x231),f32(x233,x234,x235,x232))
% 3.01/3.13 [24]~E(x241,x242)+E(f16(x241,x243),f16(x242,x243))
% 3.01/3.13 [25]~E(x251,x252)+E(f16(x253,x251),f16(x253,x252))
% 3.01/3.13 [26]~E(x261,x262)+E(f7(x261,x263,x264),f7(x262,x263,x264))
% 3.01/3.13 [27]~E(x271,x272)+E(f7(x273,x271,x274),f7(x273,x272,x274))
% 3.01/3.13 [28]~E(x281,x282)+E(f7(x283,x284,x281),f7(x283,x284,x282))
% 3.01/3.13 [29]~E(x291,x292)+E(f36(x291),f36(x292))
% 3.01/3.13 [30]~E(x301,x302)+E(f15(x301,x303),f15(x302,x303))
% 3.01/3.13 [31]~E(x311,x312)+E(f15(x313,x311),f15(x313,x312))
% 3.01/3.13 [32]~E(x321,x322)+E(f8(x321,x323,x324),f8(x322,x323,x324))
% 3.01/3.13 [33]~E(x331,x332)+E(f8(x333,x331,x334),f8(x333,x332,x334))
% 3.01/3.13 [34]~E(x341,x342)+E(f8(x343,x344,x341),f8(x343,x344,x342))
% 3.01/3.13 [35]~E(x351,x352)+E(f21(x351,x353,x354,x355),f21(x352,x353,x354,x355))
% 3.01/3.13 [36]~E(x361,x362)+E(f21(x363,x361,x364,x365),f21(x363,x362,x364,x365))
% 3.01/3.13 [37]~E(x371,x372)+E(f21(x373,x374,x371,x375),f21(x373,x374,x372,x375))
% 3.01/3.13 [38]~E(x381,x382)+E(f21(x383,x384,x385,x381),f21(x383,x384,x385,x382))
% 3.01/3.13 [39]~E(x391,x392)+E(f14(x391,x393),f14(x392,x393))
% 3.01/3.13 [40]~E(x401,x402)+E(f14(x403,x401),f14(x403,x402))
% 3.01/3.13 [41]~E(x411,x412)+E(f19(x411,x413),f19(x412,x413))
% 3.01/3.13 [42]~E(x421,x422)+E(f19(x423,x421),f19(x423,x422))
% 3.01/3.13 [43]~E(x431,x432)+E(f18(x431,x433),f18(x432,x433))
% 3.01/3.13 [44]~E(x441,x442)+E(f18(x443,x441),f18(x443,x442))
% 3.01/3.13 [45]~E(x451,x452)+E(f17(x451,x453,x454,x455,x456),f17(x452,x453,x454,x455,x456))
% 3.01/3.13 [46]~E(x461,x462)+E(f17(x463,x461,x464,x465,x466),f17(x463,x462,x464,x465,x466))
% 3.01/3.13 [47]~E(x471,x472)+E(f17(x473,x474,x471,x475,x476),f17(x473,x474,x472,x475,x476))
% 3.01/3.13 [48]~E(x481,x482)+E(f17(x483,x484,x485,x481,x486),f17(x483,x484,x485,x482,x486))
% 3.01/3.13 [49]~E(x491,x492)+E(f17(x493,x494,x495,x496,x491),f17(x493,x494,x495,x496,x492))
% 3.01/3.13 [50]~E(x501,x502)+E(f54(x501,x503,x504,x505),f54(x502,x503,x504,x505))
% 3.01/3.13 [51]~E(x511,x512)+E(f54(x513,x511,x514,x515),f54(x513,x512,x514,x515))
% 3.01/3.13 [52]~E(x521,x522)+E(f54(x523,x524,x521,x525),f54(x523,x524,x522,x525))
% 3.01/3.13 [53]~E(x531,x532)+E(f54(x533,x534,x535,x531),f54(x533,x534,x535,x532))
% 3.01/3.13 [54]~E(x541,x542)+E(f52(x541,x543,x544,x545),f52(x542,x543,x544,x545))
% 3.01/3.13 [55]~E(x551,x552)+E(f52(x553,x551,x554,x555),f52(x553,x552,x554,x555))
% 3.01/3.13 [56]~E(x561,x562)+E(f52(x563,x564,x561,x565),f52(x563,x564,x562,x565))
% 3.01/3.13 [57]~E(x571,x572)+E(f52(x573,x574,x575,x571),f52(x573,x574,x575,x572))
% 3.01/3.13 [58]~E(x581,x582)+E(f22(x581,x583,x584),f22(x582,x583,x584))
% 3.01/3.13 [59]~E(x591,x592)+E(f22(x593,x591,x594),f22(x593,x592,x594))
% 3.01/3.13 [60]~E(x601,x602)+E(f22(x603,x604,x601),f22(x603,x604,x602))
% 3.01/3.13 [61]~E(x611,x612)+E(f30(x611,x613),f30(x612,x613))
% 3.01/3.13 [62]~E(x621,x622)+E(f30(x623,x621),f30(x623,x622))
% 3.01/3.13 [63]~E(x631,x632)+E(f12(x631,x633,x634),f12(x632,x633,x634))
% 3.01/3.13 [64]~E(x641,x642)+E(f12(x643,x641,x644),f12(x643,x642,x644))
% 3.01/3.13 [65]~E(x651,x652)+E(f12(x653,x654,x651),f12(x653,x654,x652))
% 3.01/3.13 [66]~E(x661,x662)+E(f31(x661,x663,x664),f31(x662,x663,x664))
% 3.01/3.13 [67]~E(x671,x672)+E(f31(x673,x671,x674),f31(x673,x672,x674))
% 3.01/3.13 [68]~E(x681,x682)+E(f31(x683,x684,x681),f31(x683,x684,x682))
% 3.01/3.13 [69]~E(x691,x692)+E(f9(x691,x693,x694),f9(x692,x693,x694))
% 3.01/3.13 [70]~E(x701,x702)+E(f9(x703,x701,x704),f9(x703,x702,x704))
% 3.01/3.13 [71]~E(x711,x712)+E(f9(x713,x714,x711),f9(x713,x714,x712))
% 3.01/3.13 [72]~E(x721,x722)+E(f13(x721,x723),f13(x722,x723))
% 3.01/3.13 [73]~E(x731,x732)+E(f13(x733,x731),f13(x733,x732))
% 3.01/3.13 [74]~E(x741,x742)+E(f50(x741,x743,x744,x745),f50(x742,x743,x744,x745))
% 3.01/3.13 [75]~E(x751,x752)+E(f50(x753,x751,x754,x755),f50(x753,x752,x754,x755))
% 3.01/3.13 [76]~E(x761,x762)+E(f50(x763,x764,x761,x765),f50(x763,x764,x762,x765))
% 3.01/3.13 [77]~E(x771,x772)+E(f50(x773,x774,x775,x771),f50(x773,x774,x775,x772))
% 3.01/3.13 [78]~E(x781,x782)+E(f23(x781,x783,x784,x785),f23(x782,x783,x784,x785))
% 3.01/3.13 [79]~E(x791,x792)+E(f23(x793,x791,x794,x795),f23(x793,x792,x794,x795))
% 3.01/3.13 [80]~E(x801,x802)+E(f23(x803,x804,x801,x805),f23(x803,x804,x802,x805))
% 3.01/3.13 [81]~E(x811,x812)+E(f23(x813,x814,x815,x811),f23(x813,x814,x815,x812))
% 3.01/3.13 [82]~E(x821,x822)+E(f48(x821,x823,x824,x825),f48(x822,x823,x824,x825))
% 3.01/3.13 [83]~E(x831,x832)+E(f48(x833,x831,x834,x835),f48(x833,x832,x834,x835))
% 3.01/3.13 [84]~E(x841,x842)+E(f48(x843,x844,x841,x845),f48(x843,x844,x842,x845))
% 3.01/3.13 [85]~E(x851,x852)+E(f48(x853,x854,x855,x851),f48(x853,x854,x855,x852))
% 3.01/3.13 [86]~E(x861,x862)+E(f29(x861,x863),f29(x862,x863))
% 3.01/3.13 [87]~E(x871,x872)+E(f29(x873,x871),f29(x873,x872))
% 3.01/3.13 [88]~E(x881,x882)+E(f51(x881,x883,x884,x885),f51(x882,x883,x884,x885))
% 3.01/3.13 [89]~E(x891,x892)+E(f51(x893,x891,x894,x895),f51(x893,x892,x894,x895))
% 3.01/3.13 [90]~E(x901,x902)+E(f51(x903,x904,x901,x905),f51(x903,x904,x902,x905))
% 3.01/3.13 [91]~E(x911,x912)+E(f51(x913,x914,x915,x911),f51(x913,x914,x915,x912))
% 3.01/3.13 [92]~E(x921,x922)+E(f26(x921,x923),f26(x922,x923))
% 3.01/3.13 [93]~E(x931,x932)+E(f26(x933,x931),f26(x933,x932))
% 3.01/3.13 [94]~E(x941,x942)+E(f34(x941,x943),f34(x942,x943))
% 3.01/3.13 [95]~E(x951,x952)+E(f34(x953,x951),f34(x953,x952))
% 3.01/3.13 [96]~E(x961,x962)+E(f4(x961,x963,x964,x965,x966),f4(x962,x963,x964,x965,x966))
% 3.01/3.13 [97]~E(x971,x972)+E(f4(x973,x971,x974,x975,x976),f4(x973,x972,x974,x975,x976))
% 3.01/3.13 [98]~E(x981,x982)+E(f4(x983,x984,x981,x985,x986),f4(x983,x984,x982,x985,x986))
% 3.01/3.13 [99]~E(x991,x992)+E(f4(x993,x994,x995,x991,x996),f4(x993,x994,x995,x992,x996))
% 3.01/3.13 [100]~E(x1001,x1002)+E(f4(x1003,x1004,x1005,x1006,x1001),f4(x1003,x1004,x1005,x1006,x1002))
% 3.01/3.13 [101]~E(x1011,x1012)+E(f47(x1011,x1013,x1014,x1015),f47(x1012,x1013,x1014,x1015))
% 3.01/3.13 [102]~E(x1021,x1022)+E(f47(x1023,x1021,x1024,x1025),f47(x1023,x1022,x1024,x1025))
% 3.01/3.13 [103]~E(x1031,x1032)+E(f47(x1033,x1034,x1031,x1035),f47(x1033,x1034,x1032,x1035))
% 3.01/3.13 [104]~E(x1041,x1042)+E(f47(x1043,x1044,x1045,x1041),f47(x1043,x1044,x1045,x1042))
% 3.01/3.13 [105]~E(x1051,x1052)+E(f55(x1051,x1053,x1054,x1055,x1056,x1057),f55(x1052,x1053,x1054,x1055,x1056,x1057))
% 3.01/3.13 [106]~E(x1061,x1062)+E(f55(x1063,x1061,x1064,x1065,x1066,x1067),f55(x1063,x1062,x1064,x1065,x1066,x1067))
% 3.01/3.13 [107]~E(x1071,x1072)+E(f55(x1073,x1074,x1071,x1075,x1076,x1077),f55(x1073,x1074,x1072,x1075,x1076,x1077))
% 3.01/3.13 [108]~E(x1081,x1082)+E(f55(x1083,x1084,x1085,x1081,x1086,x1087),f55(x1083,x1084,x1085,x1082,x1086,x1087))
% 3.01/3.13 [109]~E(x1091,x1092)+E(f55(x1093,x1094,x1095,x1096,x1091,x1097),f55(x1093,x1094,x1095,x1096,x1092,x1097))
% 3.01/3.13 [110]~E(x1101,x1102)+E(f55(x1103,x1104,x1105,x1106,x1107,x1101),f55(x1103,x1104,x1105,x1106,x1107,x1102))
% 3.01/3.13 [111]~E(x1111,x1112)+E(f56(x1111,x1113,x1114,x1115),f56(x1112,x1113,x1114,x1115))
% 3.01/3.13 [112]~E(x1121,x1122)+E(f56(x1123,x1121,x1124,x1125),f56(x1123,x1122,x1124,x1125))
% 3.01/3.13 [113]~E(x1131,x1132)+E(f56(x1133,x1134,x1131,x1135),f56(x1133,x1134,x1132,x1135))
% 3.01/3.13 [114]~E(x1141,x1142)+E(f56(x1143,x1144,x1145,x1141),f56(x1143,x1144,x1145,x1142))
% 3.01/3.13 [115]~E(x1151,x1152)+E(f24(x1151,x1153,x1154,x1155),f24(x1152,x1153,x1154,x1155))
% 3.01/3.13 [116]~E(x1161,x1162)+E(f24(x1163,x1161,x1164,x1165),f24(x1163,x1162,x1164,x1165))
% 3.01/3.13 [117]~E(x1171,x1172)+E(f24(x1173,x1174,x1171,x1175),f24(x1173,x1174,x1172,x1175))
% 3.01/3.13 [118]~E(x1181,x1182)+E(f24(x1183,x1184,x1185,x1181),f24(x1183,x1184,x1185,x1182))
% 3.01/3.13 [119]~E(x1191,x1192)+E(f57(x1191,x1193,x1194,x1195,x1196,x1197),f57(x1192,x1193,x1194,x1195,x1196,x1197))
% 3.01/3.13 [120]~E(x1201,x1202)+E(f57(x1203,x1201,x1204,x1205,x1206,x1207),f57(x1203,x1202,x1204,x1205,x1206,x1207))
% 3.01/3.13 [121]~E(x1211,x1212)+E(f57(x1213,x1214,x1211,x1215,x1216,x1217),f57(x1213,x1214,x1212,x1215,x1216,x1217))
% 3.01/3.13 [122]~E(x1221,x1222)+E(f57(x1223,x1224,x1225,x1221,x1226,x1227),f57(x1223,x1224,x1225,x1222,x1226,x1227))
% 3.01/3.13 [123]~E(x1231,x1232)+E(f57(x1233,x1234,x1235,x1236,x1231,x1237),f57(x1233,x1234,x1235,x1236,x1232,x1237))
% 3.01/3.13 [124]~E(x1241,x1242)+E(f57(x1243,x1244,x1245,x1246,x1247,x1241),f57(x1243,x1244,x1245,x1246,x1247,x1242))
% 3.01/3.13 [125]~E(x1251,x1252)+E(f49(x1251,x1253),f49(x1252,x1253))
% 3.01/3.13 [126]~E(x1261,x1262)+E(f49(x1263,x1261),f49(x1263,x1262))
% 3.01/3.13 [127]~E(x1271,x1272)+E(f53(x1271,x1273),f53(x1272,x1273))
% 3.01/3.13 [128]~E(x1281,x1282)+E(f53(x1283,x1281),f53(x1283,x1282))
% 3.01/3.13 [129]~P1(x1291)+P1(x1292)+~E(x1291,x1292)
% 3.01/3.13 [130]~P2(x1301)+P2(x1302)+~E(x1301,x1302)
% 3.01/3.13 [131]~P15(x1311)+P15(x1312)+~E(x1311,x1312)
% 3.01/3.13 [132]~P3(x1321)+P3(x1322)+~E(x1321,x1322)
% 3.01/3.13 [133]~P4(x1331)+P4(x1332)+~E(x1331,x1332)
% 3.01/3.13 [134]~P16(x1341)+P16(x1342)+~E(x1341,x1342)
% 3.01/3.13 [135]~P11(x1351)+P11(x1352)+~E(x1351,x1352)
% 3.01/3.13 [136]~P12(x1361)+P12(x1362)+~E(x1361,x1362)
% 3.01/3.13 [137]~P13(x1371)+P13(x1372)+~E(x1371,x1372)
% 3.01/3.13 [138]~P14(x1381)+P14(x1382)+~E(x1381,x1382)
% 3.01/3.13 [139]~P17(x1391)+P17(x1392)+~E(x1391,x1392)
% 3.01/3.13 [140]~P21(x1401)+P21(x1402)+~E(x1401,x1402)
% 3.01/3.13 [141]P5(x1412,x1413)+~E(x1411,x1412)+~P5(x1411,x1413)
% 3.01/3.13 [142]P5(x1423,x1422)+~E(x1421,x1422)+~P5(x1423,x1421)
% 3.01/3.13 [143]P7(x1432,x1433,x1434)+~E(x1431,x1432)+~P7(x1431,x1433,x1434)
% 3.01/3.13 [144]P7(x1443,x1442,x1444)+~E(x1441,x1442)+~P7(x1443,x1441,x1444)
% 3.01/3.13 [145]P7(x1453,x1454,x1452)+~E(x1451,x1452)+~P7(x1453,x1454,x1451)
% 3.01/3.13 [146]~P22(x1461)+P22(x1462)+~E(x1461,x1462)
% 3.01/3.13 [147]P8(x1472,x1473,x1474)+~E(x1471,x1472)+~P8(x1471,x1473,x1474)
% 3.01/3.13 [148]P8(x1483,x1482,x1484)+~E(x1481,x1482)+~P8(x1483,x1481,x1484)
% 3.01/3.13 [149]P8(x1493,x1494,x1492)+~E(x1491,x1492)+~P8(x1493,x1494,x1491)
% 3.01/3.13 [150]~P19(x1501)+P19(x1502)+~E(x1501,x1502)
% 3.01/3.13 [151]P9(x1512,x1513,x1514)+~E(x1511,x1512)+~P9(x1511,x1513,x1514)
% 3.01/3.13 [152]P9(x1523,x1522,x1524)+~E(x1521,x1522)+~P9(x1523,x1521,x1524)
% 3.01/3.13 [153]P9(x1533,x1534,x1532)+~E(x1531,x1532)+~P9(x1533,x1534,x1531)
% 3.01/3.13 [154]P6(x1542,x1543,x1544,x1545,x1546,x1547,x1548,x1549,x15410)+~E(x1541,x1542)+~P6(x1541,x1543,x1544,x1545,x1546,x1547,x1548,x1549,x15410)
% 3.01/3.13 [155]P6(x1553,x1552,x1554,x1555,x1556,x1557,x1558,x1559,x15510)+~E(x1551,x1552)+~P6(x1553,x1551,x1554,x1555,x1556,x1557,x1558,x1559,x15510)
% 3.01/3.13 [156]P6(x1563,x1564,x1562,x1565,x1566,x1567,x1568,x1569,x15610)+~E(x1561,x1562)+~P6(x1563,x1564,x1561,x1565,x1566,x1567,x1568,x1569,x15610)
% 3.01/3.13 [157]P6(x1573,x1574,x1575,x1572,x1576,x1577,x1578,x1579,x15710)+~E(x1571,x1572)+~P6(x1573,x1574,x1575,x1571,x1576,x1577,x1578,x1579,x15710)
% 3.01/3.13 [158]P6(x1583,x1584,x1585,x1586,x1582,x1587,x1588,x1589,x15810)+~E(x1581,x1582)+~P6(x1583,x1584,x1585,x1586,x1581,x1587,x1588,x1589,x15810)
% 3.01/3.13 [159]P6(x1593,x1594,x1595,x1596,x1597,x1592,x1598,x1599,x15910)+~E(x1591,x1592)+~P6(x1593,x1594,x1595,x1596,x1597,x1591,x1598,x1599,x15910)
% 3.01/3.13 [160]P6(x1603,x1604,x1605,x1606,x1607,x1608,x1602,x1609,x16010)+~E(x1601,x1602)+~P6(x1603,x1604,x1605,x1606,x1607,x1608,x1601,x1609,x16010)
% 3.01/3.13 [161]P6(x1613,x1614,x1615,x1616,x1617,x1618,x1619,x1612,x16110)+~E(x1611,x1612)+~P6(x1613,x1614,x1615,x1616,x1617,x1618,x1619,x1611,x16110)
% 3.01/3.13 [162]P6(x1623,x1624,x1625,x1626,x1627,x1628,x1629,x16210,x1622)+~E(x1621,x1622)+~P6(x1623,x1624,x1625,x1626,x1627,x1628,x1629,x16210,x1621)
% 3.01/3.13 [163]P10(x1632,x1633,x1634,x1635)+~E(x1631,x1632)+~P10(x1631,x1633,x1634,x1635)
% 3.01/3.13 [164]P10(x1643,x1642,x1644,x1645)+~E(x1641,x1642)+~P10(x1643,x1641,x1644,x1645)
% 3.01/3.13 [165]P10(x1653,x1654,x1652,x1655)+~E(x1651,x1652)+~P10(x1653,x1654,x1651,x1655)
% 3.01/3.13 [166]P10(x1663,x1664,x1665,x1662)+~E(x1661,x1662)+~P10(x1663,x1664,x1665,x1661)
% 3.01/3.13 [167]~P20(x1671)+P20(x1672)+~E(x1671,x1672)
% 3.01/3.13 [168]~P18(x1681)+P18(x1682)+~E(x1681,x1682)
% 3.01/3.13
% 3.01/3.13 %-------------------------------------------
% 3.01/3.14 cnf(646,plain,
% 3.01/3.14 (P5(x6461,a1)),
% 3.01/3.14 inference(scs_inference,[],[176,195,2,305])).
% 3.01/3.14 cnf(648,plain,
% 3.01/3.14 (P9(x6481,x6481,x6482)),
% 3.01/3.14 inference(scs_inference,[],[176,195,185,2,305,379])).
% 3.01/3.14 cnf(649,plain,
% 3.01/3.14 (P7(x6491,x6491,f40(x6492,a1))),
% 3.01/3.14 inference(rename_variables,[],[185])).
% 3.01/3.14 cnf(652,plain,
% 3.01/3.14 (E(f32(f3(x6521),x6522,x6521,x6521),x6522)),
% 3.01/3.14 inference(rename_variables,[],[209])).
% 3.01/3.14 cnf(655,plain,
% 3.01/3.14 (~E(f5(f5(f28(x6551),x6552),x6553),f6(f40(x6551,a1)))),
% 3.01/3.14 inference(rename_variables,[],[298])).
% 3.01/3.14 cnf(658,plain,
% 3.01/3.14 (~E(f5(f5(f28(x6581),x6582),x6583),f6(f40(x6581,a1)))),
% 3.01/3.14 inference(rename_variables,[],[298])).
% 3.01/3.14 cnf(660,plain,
% 3.01/3.14 (E(x6601,f26(f5(f5(f28(x6602),x6601),f6(f40(x6602,a1))),x6602))),
% 3.01/3.14 inference(scs_inference,[],[176,195,185,209,298,655,263,2,305,379,336,636,635,531])).
% 3.01/3.14 cnf(663,plain,
% 3.01/3.14 (~E(f5(f5(f28(x6631),x6632),x6633),f6(f40(x6631,a1)))),
% 3.01/3.14 inference(rename_variables,[],[298])).
% 3.01/3.14 cnf(666,plain,
% 3.01/3.14 (~E(f5(f5(f28(x6661),x6662),x6663),f6(f40(x6661,a1)))),
% 3.01/3.14 inference(rename_variables,[],[298])).
% 3.01/3.14 cnf(673,plain,
% 3.01/3.14 (P7(x6731,f5(f5(f28(x6732),x6733),x6731),f40(x6732,a1))),
% 3.01/3.14 inference(rename_variables,[],[197])).
% 3.01/3.14 cnf(676,plain,
% 3.01/3.14 (P7(x6761,f5(f5(f28(x6762),x6763),x6761),f40(x6762,a1))),
% 3.01/3.14 inference(rename_variables,[],[197])).
% 3.01/3.14 cnf(679,plain,
% 3.01/3.14 (P7(f7(x6791,x6792,f40(x6793,a1)),x6791,f40(x6793,a1))),
% 3.01/3.14 inference(rename_variables,[],[205])).
% 3.01/3.14 cnf(682,plain,
% 3.01/3.14 (P7(f7(x6821,x6822,f40(x6823,a1)),x6821,f40(x6823,a1))),
% 3.01/3.14 inference(rename_variables,[],[205])).
% 3.01/3.14 cnf(685,plain,
% 3.01/3.14 (P7(x6851,f5(f5(f28(x6852),x6853),x6851),f40(x6852,a1))),
% 3.01/3.14 inference(rename_variables,[],[197])).
% 3.01/3.14 cnf(687,plain,
% 3.01/3.14 (P7(f10(f6(f40(x6871,a1)),x6872,x6871,f40(x6873,a1)),x6874,f40(x6873,a1))),
% 3.01/3.14 inference(scs_inference,[],[176,195,185,209,205,679,197,673,676,298,655,658,663,666,266,263,2,305,379,336,636,635,531,640,639,487,403,525,524,523,522,463,433])).
% 3.01/3.14 cnf(692,plain,
% 3.01/3.14 (~P22(f33(x6921,f6(f40(x6922,a1)),x6923))),
% 3.01/3.14 inference(scs_inference,[],[176,195,185,209,205,679,299,197,673,676,298,655,658,663,666,266,263,2,305,379,336,636,635,531,640,639,487,403,525,524,523,522,463,433,430,386])).
% 3.01/3.14 cnf(704,plain,
% 3.01/3.14 (P7(x7041,x7041,f40(x7042,a1))),
% 3.01/3.14 inference(rename_variables,[],[185])).
% 3.01/3.14 cnf(706,plain,
% 3.01/3.14 (P10(f3(f33(a43,f6(f40(a2,a1)),a2)),x7061,f33(a43,f6(f40(a2,a1)),a2),f5(f6(f40(a2,a1)),a43))),
% 3.01/3.14 inference(scs_inference,[],[176,195,208,185,649,209,205,679,299,197,673,676,685,218,206,298,655,658,663,666,219,266,263,2,305,379,336,636,635,531,640,639,487,403,525,524,523,522,463,433,430,386,355,556,468,461,551,166])).
% 3.01/3.14 cnf(714,plain,
% 3.01/3.14 (E(f32(f3(x7141),x7142,x7141,x7141),x7142)),
% 3.01/3.14 inference(rename_variables,[],[209])).
% 3.01/3.14 cnf(716,plain,
% 3.01/3.14 (P7(f7(x7161,x7162,f40(x7163,a1)),x7161,f40(x7163,a1))),
% 3.01/3.14 inference(rename_variables,[],[205])).
% 3.01/3.14 cnf(718,plain,
% 3.01/3.14 (P7(x7181,x7181,f40(x7182,a1))),
% 3.01/3.14 inference(rename_variables,[],[185])).
% 3.01/3.14 cnf(720,plain,
% 3.01/3.14 (P5(f26(f5(f5(f28(x7201),f6(f40(f33(a43,f6(f40(a2,a1)),a2),a1))),f6(f40(x7201,a1))),x7201),f33(a43,f6(f40(a2,a1)),a2))),
% 3.01/3.14 inference(scs_inference,[],[270,176,195,304,208,185,649,704,186,213,209,652,183,205,679,682,192,302,299,197,673,676,685,218,206,298,655,658,663,666,219,266,263,2,305,379,336,636,635,531,640,639,487,403,525,524,523,522,463,433,430,386,355,556,468,461,551,166,165,164,153,152,151,148,146,144,143,142,141])).
% 3.01/3.14 cnf(722,plain,
% 3.01/3.14 (E(f32(f3(x7221),x7222,x7221,x7221),x7222)),
% 3.01/3.14 inference(rename_variables,[],[209])).
% 3.01/3.14 cnf(724,plain,
% 3.01/3.14 (P7(f7(x7241,x7242,f40(x7243,a1)),x7241,f40(x7243,a1))),
% 3.01/3.14 inference(rename_variables,[],[205])).
% 3.01/3.14 cnf(727,plain,
% 3.01/3.14 (P7(f6(f40(x7271,a1)),x7272,f40(x7271,a1))),
% 3.01/3.14 inference(rename_variables,[],[190])).
% 3.01/3.14 cnf(730,plain,
% 3.01/3.14 (P7(f7(x7301,x7302,f40(x7303,a1)),x7301,f40(x7303,a1))),
% 3.01/3.14 inference(rename_variables,[],[205])).
% 3.01/3.14 cnf(731,plain,
% 3.01/3.14 (P5(f6(f40(x7311,a1)),x7311)),
% 3.01/3.14 inference(rename_variables,[],[183])).
% 3.01/3.14 cnf(734,plain,
% 3.01/3.14 (P7(x7341,x7341,f40(x7342,a1))),
% 3.01/3.14 inference(rename_variables,[],[185])).
% 3.01/3.14 cnf(740,plain,
% 3.01/3.14 (P22(f5(f5(f5(f28(x7401),x7402),x7403),x7402))),
% 3.01/3.14 inference(rename_variables,[],[206])).
% 3.01/3.14 cnf(743,plain,
% 3.01/3.14 (~E(f5(f5(f28(x7431),x7432),x7433),f6(f40(x7431,a1)))),
% 3.01/3.14 inference(rename_variables,[],[298])).
% 3.01/3.14 cnf(749,plain,
% 3.01/3.14 (~P22(f5(f6(f40(x7491,a1)),x7492))),
% 3.01/3.14 inference(rename_variables,[],[299])).
% 3.01/3.14 cnf(752,plain,
% 3.01/3.14 (P22(f33(x7521,f5(f5(f28(x7522),x7521),x7523),x7522))),
% 3.01/3.14 inference(rename_variables,[],[218])).
% 3.01/3.14 cnf(755,plain,
% 3.01/3.14 (P22(f33(x7551,f5(f5(f28(x7552),x7551),x7553),x7552))),
% 3.01/3.14 inference(rename_variables,[],[218])).
% 3.01/3.14 cnf(760,plain,
% 3.01/3.14 (P7(x7601,x7601,f40(x7602,a1))),
% 3.01/3.14 inference(rename_variables,[],[185])).
% 3.01/3.14 cnf(762,plain,
% 3.01/3.14 (~P7(f32(x7621,f5(f5(f28(x7622),x7623),x7624),x7622,x7625),f6(f40(x7625,a1)),f40(x7625,a1))),
% 3.01/3.14 inference(scs_inference,[],[270,173,176,195,304,208,185,649,704,718,734,186,213,209,652,714,183,731,205,679,682,716,724,190,192,302,299,197,673,676,685,218,752,755,206,298,655,658,663,666,219,266,263,247,2,305,379,336,636,635,531,640,639,487,403,525,524,523,522,463,433,430,386,355,556,468,461,551,166,165,164,153,152,151,148,146,144,143,142,141,3,423,410,357,567,372,382,467,536,469,416,415,559,590,589])).
% 3.01/3.14 cnf(767,plain,
% 3.01/3.14 (~P7(f5(f5(f28(f36(a2)),f21(a39,a44,a45,a2)),f6(f40(f36(a2),a1))),f5(f5(f28(f36(a2)),f21(a39,a44,a42,a2)),f6(f40(f36(a2),a1))),f40(f36(a2),a1))),
% 3.01/3.14 inference(scs_inference,[],[270,173,176,195,304,208,185,649,704,718,734,186,213,209,652,714,183,731,205,679,682,716,724,190,192,302,299,197,673,676,685,218,752,755,206,298,655,658,663,666,743,219,266,263,247,2,305,379,336,636,635,531,640,639,487,403,525,524,523,522,463,433,430,386,355,556,468,461,551,166,165,164,153,152,151,148,146,144,143,142,141,3,423,410,357,567,372,382,467,536,469,416,415,559,590,589,516,505])).
% 3.01/3.14 cnf(768,plain,
% 3.01/3.14 (~E(f5(f5(f28(x7681),x7682),x7683),f6(f40(x7681,a1)))),
% 3.01/3.14 inference(rename_variables,[],[298])).
% 3.01/3.14 cnf(773,plain,
% 3.01/3.14 (P7(x7731,x7731,f40(x7732,a1))),
% 3.01/3.14 inference(rename_variables,[],[185])).
% 3.01/3.14 cnf(781,plain,
% 3.01/3.14 (P7(f6(f40(x7811,a1)),x7812,f40(x7811,a1))),
% 3.01/3.14 inference(rename_variables,[],[190])).
% 3.01/3.14 cnf(784,plain,
% 3.01/3.14 (P7(x7841,x7841,f40(x7842,a1))),
% 3.01/3.14 inference(rename_variables,[],[185])).
% 3.01/3.14 cnf(787,plain,
% 3.01/3.14 (P7(x7871,x7871,f40(x7872,a1))),
% 3.01/3.14 inference(rename_variables,[],[185])).
% 3.01/3.14 cnf(819,plain,
% 3.01/3.14 (P16(f40(x8191,a1))),
% 3.01/3.14 inference(scs_inference,[],[270,169,170,171,173,174,175,176,177,178,179,180,195,304,208,185,649,704,718,734,760,773,784,287,186,213,209,652,714,183,731,205,679,682,716,724,190,727,192,302,299,191,197,673,676,685,218,752,755,206,298,655,658,663,666,743,272,219,266,263,247,2,305,379,336,636,635,531,640,639,487,403,525,524,523,522,463,433,430,386,355,556,468,461,551,166,165,164,153,152,151,148,146,144,143,142,141,3,423,410,357,567,372,382,467,536,469,416,415,559,590,589,516,505,604,578,627,405,446,510,509,326,367,365,363,361,330,329,328,324,323,316,315,314,313,312,311])).
% 3.01/3.14 cnf(825,plain,
% 3.01/3.14 (P15(f40(x8251,a1))),
% 3.01/3.14 inference(scs_inference,[],[270,169,170,171,172,173,174,175,176,177,178,179,180,195,304,208,185,649,704,718,734,760,773,784,287,186,213,209,652,714,183,731,205,679,682,716,724,190,727,192,302,299,191,197,673,676,685,218,752,755,206,298,655,658,663,666,743,272,219,266,263,247,2,305,379,336,636,635,531,640,639,487,403,525,524,523,522,463,433,430,386,355,556,468,461,551,166,165,164,153,152,151,148,146,144,143,142,141,3,423,410,357,567,372,382,467,536,469,416,415,559,590,589,516,505,604,578,627,405,446,510,509,326,367,365,363,361,330,329,328,324,323,316,315,314,313,312,311,310,309,308])).
% 3.01/3.14 cnf(829,plain,
% 3.01/3.14 (P1(f40(x8291,a1))),
% 3.01/3.14 inference(scs_inference,[],[270,169,170,171,172,173,174,175,176,177,178,179,180,195,304,208,185,649,704,718,734,760,773,784,287,186,213,209,652,714,183,731,205,679,682,716,724,190,727,192,302,299,191,197,673,676,685,218,752,755,206,298,655,658,663,666,743,272,219,266,263,247,2,305,379,336,636,635,531,640,639,487,403,525,524,523,522,463,433,430,386,355,556,468,461,551,166,165,164,153,152,151,148,146,144,143,142,141,3,423,410,357,567,372,382,467,536,469,416,415,559,590,589,516,505,604,578,627,405,446,510,509,326,367,365,363,361,330,329,328,324,323,316,315,314,313,312,311,310,309,308,307,306])).
% 3.01/3.14 cnf(1034,plain,
% 3.01/3.14 (~P22(f5(f5(f5(f20(f40(x10341,a1)),f6(f40(x10342,a1))),x10343),x10344))),
% 3.01/3.14 inference(scs_inference,[],[270,169,170,171,172,173,174,175,176,177,178,179,180,195,304,208,185,649,704,718,734,760,773,784,287,186,213,209,652,714,183,731,205,679,682,716,724,190,727,192,302,299,749,191,197,673,676,685,218,752,755,206,740,298,655,658,663,666,743,272,219,266,263,247,2,305,379,336,636,635,531,640,639,487,403,525,524,523,522,463,433,430,386,355,556,468,461,551,166,165,164,153,152,151,148,146,144,143,142,141,3,423,410,357,567,372,382,467,536,469,416,415,559,590,589,516,505,604,578,627,405,446,510,509,326,367,365,363,361,330,329,328,324,323,316,315,314,313,312,311,310,309,308,307,306,337,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,607,557,548,542,541,540,504,484,483,451,450,449,422,377,371,370,369,359,358,345,343,341,333,332,327,321,320,319,318,408,401,400,389,368,335,334,331,579,569])).
% 3.01/3.14 cnf(1056,plain,
% 3.01/3.14 (~E(f5(f5(f25(f40(x10561,a1)),x10562),f5(f5(f28(x10561),x10563),x10564)),f6(f40(x10561,a1)))),
% 3.01/3.14 inference(scs_inference,[],[270,169,170,171,172,173,174,175,176,177,178,179,180,195,304,208,185,649,704,718,734,760,773,784,287,186,213,209,652,714,183,731,205,679,682,716,724,730,190,727,192,302,299,749,191,197,673,676,685,218,752,755,206,740,298,655,658,663,666,743,768,272,219,266,263,247,2,305,379,336,636,635,531,640,639,487,403,525,524,523,522,463,433,430,386,355,556,468,461,551,166,165,164,153,152,151,148,146,144,143,142,141,3,423,410,357,567,372,382,467,536,469,416,415,559,590,589,516,505,604,578,627,405,446,510,509,326,367,365,363,361,330,329,328,324,323,316,315,314,313,312,311,310,309,308,307,306,337,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,607,557,548,542,541,540,504,484,483,451,450,449,422,377,371,370,369,359,358,345,343,341,333,332,327,321,320,319,318,408,401,400,389,368,335,334,331,579,569,568,527,526,495,480,478,452,445,443,432,429])).
% 3.01/3.14 cnf(1094,plain,
% 3.01/3.14 (P22(f33(f5(x10941,x10942),f32(x10941,f5(f5(f28(x10943),x10942),x10944),x10943,x10945),x10945))),
% 3.01/3.14 inference(scs_inference,[],[270,169,170,171,172,173,174,175,176,177,178,179,180,195,304,208,185,649,704,718,734,760,773,784,287,186,213,209,652,714,183,731,205,679,682,716,724,730,190,727,192,302,299,749,191,197,673,676,685,218,752,755,206,740,298,655,658,663,666,743,768,272,219,266,263,247,2,305,379,336,636,635,531,640,639,487,403,525,524,523,522,463,433,430,386,355,556,468,461,551,166,165,164,153,152,151,148,146,144,143,142,141,3,423,410,357,567,372,382,467,536,469,416,415,559,590,589,516,505,604,578,627,405,446,510,509,326,367,365,363,361,330,329,328,324,323,316,315,314,313,312,311,310,309,308,307,306,337,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,607,557,548,542,541,540,504,484,483,451,450,449,422,377,371,370,369,359,358,345,343,341,333,332,327,321,320,319,318,408,401,400,389,368,335,334,331,579,569,568,527,526,495,480,478,452,445,443,432,429,424,421,420,419,418,384,383,587,575,574,520,518,517,507,506,502,501,598,597])).
% 3.01/3.14 cnf(1106,plain,
% 3.01/3.14 (~P22(f33(x11061,f5(f5(f20(f40(x11062,a1)),x11063),f7(x11064,f5(f5(f28(x11062),x11061),x11065),f40(x11062,a1))),x11062))),
% 3.01/3.14 inference(scs_inference,[],[270,169,170,171,172,173,174,175,176,177,178,179,180,195,304,208,185,649,704,718,734,760,773,784,287,186,213,209,652,714,183,731,205,679,682,716,724,730,190,727,192,302,299,749,191,197,673,676,685,218,752,755,206,740,298,655,658,663,666,743,768,272,219,266,263,247,2,305,379,336,636,635,531,640,639,487,403,525,524,523,522,463,433,430,386,355,556,468,461,551,166,165,164,153,152,151,148,146,144,143,142,141,3,423,410,357,567,372,382,467,536,469,416,415,559,590,589,516,505,604,578,627,405,446,510,509,326,367,365,363,361,330,329,328,324,323,316,315,314,313,312,311,310,309,308,307,306,337,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,607,557,548,542,541,540,504,484,483,451,450,449,422,377,371,370,369,359,358,345,343,341,333,332,327,321,320,319,318,408,401,400,389,368,335,334,331,579,569,568,527,526,495,480,478,452,445,443,432,429,424,421,420,419,418,384,383,587,575,574,520,518,517,507,506,502,501,598,597,482,481,470,398,585,583])).
% 3.01/3.14 cnf(1110,plain,
% 3.01/3.14 (P22(f33(x11101,f5(f5(f25(f40(x11102,a1)),x11103),f5(f5(f28(x11102),x11101),x11104)),x11102))),
% 3.01/3.14 inference(scs_inference,[],[270,169,170,171,172,173,174,175,176,177,178,179,180,195,304,208,185,649,704,718,734,760,773,784,287,186,213,209,652,714,183,731,205,679,682,716,724,730,190,727,192,302,299,749,191,197,673,676,685,218,752,755,206,740,298,655,658,663,666,743,768,272,219,266,263,247,2,305,379,336,636,635,531,640,639,487,403,525,524,523,522,463,433,430,386,355,556,468,461,551,166,165,164,153,152,151,148,146,144,143,142,141,3,423,410,357,567,372,382,467,536,469,416,415,559,590,589,516,505,604,578,627,405,446,510,509,326,367,365,363,361,330,329,328,324,323,316,315,314,313,312,311,310,309,308,307,306,337,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,607,557,548,542,541,540,504,484,483,451,450,449,422,377,371,370,369,359,358,345,343,341,333,332,327,321,320,319,318,408,401,400,389,368,335,334,331,579,569,568,527,526,495,480,478,452,445,443,432,429,424,421,420,419,418,384,383,587,575,574,520,518,517,507,506,502,501,598,597,482,481,470,398,585,583,561,560])).
% 3.01/3.14 cnf(1116,plain,
% 3.01/3.14 (P22(f33(x11161,f5(f5(f28(x11162),x11163),f5(f5(f28(x11162),x11164),f5(f5(f28(x11162),x11161),x11165))),x11162))),
% 3.01/3.14 inference(scs_inference,[],[270,169,170,171,172,173,174,175,176,177,178,179,180,195,304,208,185,649,704,718,734,760,773,784,287,186,213,209,652,714,183,731,205,679,682,716,724,730,190,727,192,302,299,749,191,197,673,676,685,218,752,755,206,740,298,655,658,663,666,743,768,272,219,266,263,247,2,305,379,336,636,635,531,640,639,487,403,525,524,523,522,463,433,430,386,355,556,468,461,551,166,165,164,153,152,151,148,146,144,143,142,141,3,423,410,357,567,372,382,467,536,469,416,415,559,590,589,516,505,604,578,627,405,446,510,509,326,367,365,363,361,330,329,328,324,323,316,315,314,313,312,311,310,309,308,307,306,337,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,607,557,548,542,541,540,504,484,483,451,450,449,422,377,371,370,369,359,358,345,343,341,333,332,327,321,320,319,318,408,401,400,389,368,335,334,331,579,569,568,527,526,495,480,478,452,445,443,432,429,424,421,420,419,418,384,383,587,575,574,520,518,517,507,506,502,501,598,597,482,481,470,398,585,583,561,560,558,539,497])).
% 3.01/3.14 cnf(1155,plain,
% 3.01/3.14 (E(f5(f3(x11551),x11552),x11552)),
% 3.01/3.14 inference(rename_variables,[],[182])).
% 3.01/3.14 cnf(1160,plain,
% 3.01/3.14 (~E(a1,x11601)+P21(x11601)),
% 3.01/3.14 inference(scs_inference,[],[270,169,170,171,172,173,174,175,176,177,178,179,180,195,304,208,185,649,704,718,734,760,773,784,787,287,186,213,209,652,714,722,182,1155,183,731,205,679,682,716,724,730,190,727,192,302,299,749,283,191,197,673,676,685,218,752,755,206,740,298,655,658,663,666,743,768,272,219,266,263,247,2,305,379,336,636,635,531,640,639,487,403,525,524,523,522,463,433,430,386,355,556,468,461,551,166,165,164,153,152,151,148,146,144,143,142,141,3,423,410,357,567,372,382,467,536,469,416,415,559,590,589,516,505,604,578,627,405,446,510,509,326,367,365,363,361,330,329,328,324,323,316,315,314,313,312,311,310,309,308,307,306,337,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,607,557,548,542,541,540,504,484,483,451,450,449,422,377,371,370,369,359,358,345,343,341,333,332,327,321,320,319,318,408,401,400,389,368,335,334,331,579,569,568,527,526,495,480,478,452,445,443,432,429,424,421,420,419,418,384,383,587,575,574,520,518,517,507,506,502,501,598,597,482,481,470,398,585,583,561,560,558,539,497,612,582,571,534,615,608,591,508,500,485,618,549,499,562,537,498,620,619,616,155,154,145,140])).
% 3.01/3.14 cnf(1161,plain,
% 3.01/3.14 (~P9(f5(f5(f28(f36(a2)),f21(a39,a44,a45,a2)),f6(f40(f36(a2),a1))),f5(f5(f28(f36(a2)),f21(a39,a44,a42,a2)),f6(f40(f36(a2),a1))),a2)),
% 3.01/3.14 inference(scs_inference,[],[270,169,170,171,172,173,174,175,176,177,178,179,180,195,304,208,185,649,704,718,734,760,773,784,787,287,186,213,209,652,714,722,182,1155,183,731,205,679,682,716,724,730,190,727,192,302,299,749,283,191,197,673,676,685,218,752,755,206,740,298,655,658,663,666,743,768,272,219,266,263,247,2,305,379,336,636,635,531,640,639,487,403,525,524,523,522,463,433,430,386,355,556,468,461,551,166,165,164,153,152,151,148,146,144,143,142,141,3,423,410,357,567,372,382,467,536,469,416,415,559,590,589,516,505,604,578,627,405,446,510,509,326,367,365,363,361,330,329,328,324,323,316,315,314,313,312,311,310,309,308,307,306,337,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,607,557,548,542,541,540,504,484,483,451,450,449,422,377,371,370,369,359,358,345,343,341,333,332,327,321,320,319,318,408,401,400,389,368,335,334,331,579,569,568,527,526,495,480,478,452,445,443,432,429,424,421,420,419,418,384,383,587,575,574,520,518,517,507,506,502,501,598,597,482,481,470,398,585,583,561,560,558,539,497,612,582,571,534,615,608,591,508,500,485,618,549,499,562,537,498,620,619,616,155,154,145,140,397])).
% 3.01/3.14 cnf(1163,plain,
% 3.01/3.14 (P12(f40(a1,a1))),
% 3.01/3.14 inference(scs_inference,[],[270,169,170,171,172,173,174,175,176,177,178,179,180,195,304,208,185,649,704,718,734,760,773,784,787,287,186,213,209,652,714,722,182,1155,183,731,205,679,682,716,724,730,190,727,192,302,299,749,283,191,197,673,676,685,218,752,755,206,740,298,655,658,663,666,743,768,272,219,266,263,247,2,305,379,336,636,635,531,640,639,487,403,525,524,523,522,463,433,430,386,355,556,468,461,551,166,165,164,153,152,151,148,146,144,143,142,141,3,423,410,357,567,372,382,467,536,469,416,415,559,590,589,516,505,604,578,627,405,446,510,509,326,367,365,363,361,330,329,328,324,323,316,315,314,313,312,311,310,309,308,307,306,337,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,607,557,548,542,541,540,504,484,483,451,450,449,422,377,371,370,369,359,358,345,343,341,333,332,327,321,320,319,318,408,401,400,389,368,335,334,331,579,569,568,527,526,495,480,478,452,445,443,432,429,424,421,420,419,418,384,383,587,575,574,520,518,517,507,506,502,501,598,597,482,481,470,398,585,583,561,560,558,539,497,612,582,571,534,615,608,591,508,500,485,618,549,499,562,537,498,620,619,616,155,154,145,140,397,317])).
% 3.01/3.14 cnf(1205,plain,
% 3.01/3.14 (~P7(f5(f5(f28(x12051),x12052),f7(f6(f40(x12051,a1)),f5(f5(f28(x12051),x12052),f6(f40(x12051,a1))),f40(x12051,a1))),f7(f6(f40(x12051,a1)),x12053,f40(x12051,a1)),f40(x12051,a1))),
% 3.01/3.14 inference(scs_inference,[],[270,169,170,171,172,173,174,175,176,177,178,179,180,195,304,208,185,649,704,718,734,760,773,784,787,287,186,213,209,652,714,722,182,1155,183,731,205,679,682,716,724,730,190,727,192,302,299,749,283,191,197,673,676,685,218,752,755,206,740,298,655,658,663,666,743,768,272,219,266,263,247,2,305,379,336,636,635,531,640,639,487,403,525,524,523,522,463,433,430,386,355,556,468,461,551,166,165,164,153,152,151,148,146,144,143,142,141,3,423,410,357,567,372,382,467,536,469,416,415,559,590,589,516,505,604,578,627,405,446,510,509,326,367,365,363,361,330,329,328,324,323,316,315,314,313,312,311,310,309,308,307,306,337,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,607,557,548,542,541,540,504,484,483,451,450,449,422,377,371,370,369,359,358,345,343,341,333,332,327,321,320,319,318,408,401,400,389,368,335,334,331,579,569,568,527,526,495,480,478,452,445,443,432,429,424,421,420,419,418,384,383,587,575,574,520,518,517,507,506,502,501,598,597,482,481,470,398,585,583,561,560,558,539,497,612,582,571,534,615,608,591,508,500,485,618,549,499,562,537,498,620,619,616,155,154,145,140,397,317,441,439,437,435,414,413,412,411,555,554,553,552,460,407,353,352,351,350,349,348,448])).
% 3.01/3.14 cnf(1220,plain,
% 3.01/3.14 (~E(f5(f5(f28(x12201),x12202),x12203),f6(f40(x12201,a1)))),
% 3.01/3.14 inference(rename_variables,[],[298])).
% 3.01/3.14 cnf(1232,plain,
% 3.01/3.14 (~P22(f33(f5(f5(f28(x12321),x12322),f5(x12323,f5(f5(f28(x12324),x12325),f5(f5(f28(x12324),f6(f40(x12326,a1))),x12327)))),f5(f5(f28(x12328),f6(f40(x12321,a1))),f6(f40(x12328,a1))),x12328))),
% 3.01/3.14 inference(scs_inference,[],[270,169,170,171,172,173,174,175,176,177,178,179,180,195,304,208,185,649,704,718,734,760,773,784,787,287,186,213,209,652,714,722,182,1155,183,731,205,679,682,716,724,730,190,727,192,302,299,749,283,191,197,673,676,685,218,752,755,206,740,298,655,658,663,666,743,768,1220,272,219,266,263,247,2,305,379,336,636,635,531,640,639,487,403,525,524,523,522,463,433,430,386,355,556,468,461,551,166,165,164,153,152,151,148,146,144,143,142,141,3,423,410,357,567,372,382,467,536,469,416,415,559,590,589,516,505,604,578,627,405,446,510,509,326,367,365,363,361,330,329,328,324,323,316,315,314,313,312,311,310,309,308,307,306,337,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,607,557,548,542,541,540,504,484,483,451,450,449,422,377,371,370,369,359,358,345,343,341,333,332,327,321,320,319,318,408,401,400,389,368,335,334,331,579,569,568,527,526,495,480,478,452,445,443,432,429,424,421,420,419,418,384,383,587,575,574,520,518,517,507,506,502,501,598,597,482,481,470,398,585,583,561,560,558,539,497,612,582,571,534,615,608,591,508,500,485,618,549,499,562,537,498,620,619,616,155,154,145,140,397,317,441,439,437,435,414,413,412,411,555,554,553,552,460,407,353,352,351,350,349,348,448,395,394,347,346,642,641,339,338,462,602,570,530,515])).
% 3.01/3.14 cnf(1238,plain,
% 3.01/3.14 (~P22(f33(f26(f5(f5(f28(x12381),f6(f40(f33(a43,f6(f40(a2,a1)),a2),a1))),f6(f40(x12381,a1))),x12381),f7(f6(f40(x12381,a1)),x12382,f40(x12381,a1)),x12381))),
% 3.01/3.14 inference(scs_inference,[],[270,169,170,171,172,173,174,175,176,177,178,179,180,195,304,208,185,649,704,718,734,760,773,784,787,287,186,213,209,652,714,722,182,1155,183,731,205,679,682,716,724,730,190,727,192,302,299,749,283,191,197,673,676,685,218,752,755,206,740,298,655,658,663,666,743,768,1220,272,219,266,263,247,2,305,379,336,636,635,531,640,639,487,403,525,524,523,522,463,433,430,386,355,556,468,461,551,166,165,164,153,152,151,148,146,144,143,142,141,3,423,410,357,567,372,382,467,536,469,416,415,559,590,589,516,505,604,578,627,405,446,510,509,326,367,365,363,361,330,329,328,324,323,316,315,314,313,312,311,310,309,308,307,306,337,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,607,557,548,542,541,540,504,484,483,451,450,449,422,377,371,370,369,359,358,345,343,341,333,332,327,321,320,319,318,408,401,400,389,368,335,334,331,579,569,568,527,526,495,480,478,452,445,443,432,429,424,421,420,419,418,384,383,587,575,574,520,518,517,507,506,502,501,598,597,482,481,470,398,585,583,561,560,558,539,497,612,582,571,534,615,608,591,508,500,485,618,549,499,562,537,498,620,619,616,155,154,145,140,397,317,441,439,437,435,414,413,412,411,555,554,553,552,460,407,353,352,351,350,349,348,448,395,394,347,346,642,641,339,338,462,602,570,530,515,514,512,474])).
% 3.01/3.14 cnf(1242,plain,
% 3.01/3.14 (P22(f33(x12421,f5(f5(f28(x12422),x12421),x12423),x12422))),
% 3.01/3.14 inference(rename_variables,[],[218])).
% 3.01/3.14 cnf(1266,plain,
% 3.01/3.14 (P22(f33(f26(f5(f5(f28(x12661),f6(f40(f33(a43,f6(f40(a2,a1)),a2),a1))),f6(f40(x12661,a1))),x12661),f7(f5(f5(f28(x12662),f26(f5(f5(f28(x12661),f6(f40(f33(a43,f6(f40(a2,a1)),a2),a1))),f6(f40(x12661,a1))),x12661)),x12663),f6(f40(x12661,a1)),f40(x12661,a1)),x12661))),
% 3.01/3.14 inference(scs_inference,[],[270,169,170,171,172,173,174,175,176,177,178,179,180,195,304,208,185,649,704,718,734,760,773,784,787,287,186,213,209,652,714,722,182,1155,183,731,205,679,682,716,724,730,190,727,781,192,302,299,749,283,191,197,673,676,685,218,752,755,1242,206,740,298,655,658,663,666,743,768,1220,272,219,266,263,247,2,305,379,336,636,635,531,640,639,487,403,525,524,523,522,463,433,430,386,355,556,468,461,551,166,165,164,153,152,151,148,146,144,143,142,141,3,423,410,357,567,372,382,467,536,469,416,415,559,590,589,516,505,604,578,627,405,446,510,509,326,367,365,363,361,330,329,328,324,323,316,315,314,313,312,311,310,309,308,307,306,337,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,607,557,548,542,541,540,504,484,483,451,450,449,422,377,371,370,369,359,358,345,343,341,333,332,327,321,320,319,318,408,401,400,389,368,335,334,331,579,569,568,527,526,495,480,478,452,445,443,432,429,424,421,420,419,418,384,383,587,575,574,520,518,517,507,506,502,501,598,597,482,481,470,398,585,583,561,560,558,539,497,612,582,571,534,615,608,591,508,500,485,618,549,499,562,537,498,620,619,616,155,154,145,140,397,317,441,439,437,435,414,413,412,411,555,554,553,552,460,407,353,352,351,350,349,348,448,395,394,347,346,642,641,339,338,462,602,570,530,515,514,512,474,529,491,606,565,492,564,563,519,628,626,592,573,533])).
% 3.01/3.14 cnf(1270,plain,
% 3.01/3.14 (~P22(f5(f5(a42,f47(a41,a39,a42,a44)),f57(a41,a39,a42,a44,a39,a45)))),
% 3.01/3.14 inference(scs_inference,[],[270,169,170,171,172,173,174,175,176,177,178,179,180,195,304,208,185,649,704,718,734,760,773,784,787,287,186,213,209,652,714,722,182,1155,183,731,205,679,682,716,724,730,190,727,781,192,302,299,749,283,191,197,673,676,685,218,752,755,1242,206,740,298,655,658,663,666,743,768,1220,272,219,266,263,247,2,305,379,336,636,635,531,640,639,487,403,525,524,523,522,463,433,430,386,355,556,468,461,551,166,165,164,153,152,151,148,146,144,143,142,141,3,423,410,357,567,372,382,467,536,469,416,415,559,590,589,516,505,604,578,627,405,446,510,509,326,367,365,363,361,330,329,328,324,323,316,315,314,313,312,311,310,309,308,307,306,337,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,607,557,548,542,541,540,504,484,483,451,450,449,422,377,371,370,369,359,358,345,343,341,333,332,327,321,320,319,318,408,401,400,389,368,335,334,331,579,569,568,527,526,495,480,478,452,445,443,432,429,424,421,420,419,418,384,383,587,575,574,520,518,517,507,506,502,501,598,597,482,481,470,398,585,583,561,560,558,539,497,612,582,571,534,615,608,591,508,500,485,618,549,499,562,537,498,620,619,616,155,154,145,140,397,317,441,439,437,435,414,413,412,411,555,554,553,552,460,407,353,352,351,350,349,348,448,395,394,347,346,642,641,339,338,462,602,570,530,515,514,512,474,529,491,606,565,492,564,563,519,628,626,592,573,533,632,631])).
% 3.01/3.14 cnf(1288,plain,
% 3.01/3.14 (P22(f5(f5(a45,f47(a41,a39,a42,a44)),f57(a41,a39,a42,a44,a39,a45)))),
% 3.01/3.14 inference(scs_inference,[],[270,169,170,171,172,173,174,175,176,177,178,179,180,195,304,208,185,649,704,718,734,760,773,784,787,287,186,213,209,652,714,722,182,1155,183,731,205,679,682,716,724,730,190,727,781,192,302,299,749,283,191,197,673,676,685,218,752,755,1242,206,740,223,298,655,658,663,666,743,768,1220,272,219,266,263,240,247,2,305,379,336,636,635,531,640,639,487,403,525,524,523,522,463,433,430,386,355,556,468,461,551,166,165,164,153,152,151,148,146,144,143,142,141,3,423,410,357,567,372,382,467,536,469,416,415,559,590,589,516,505,604,578,627,405,446,510,509,326,367,365,363,361,330,329,328,324,323,316,315,314,313,312,311,310,309,308,307,306,337,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,607,557,548,542,541,540,504,484,483,451,450,449,422,377,371,370,369,359,358,345,343,341,333,332,327,321,320,319,318,408,401,400,389,368,335,334,331,579,569,568,527,526,495,480,478,452,445,443,432,429,424,421,420,419,418,384,383,587,575,574,520,518,517,507,506,502,501,598,597,482,481,470,398,585,583,561,560,558,539,497,612,582,571,534,615,608,591,508,500,485,618,549,499,562,537,498,620,619,616,155,154,145,140,397,317,441,439,437,435,414,413,412,411,555,554,553,552,460,407,353,352,351,350,349,348,448,395,394,347,346,642,641,339,338,462,602,570,530,515,514,512,474,529,491,606,565,492,564,563,519,628,626,592,573,533,632,631,600,458,455,488,503,466,625,609,630])).
% 3.01/3.14 cnf(1319,plain,
% 3.01/3.14 (E(x13191,f26(f5(f5(f28(x13192),x13191),f6(f40(x13192,a1))),x13192))),
% 3.01/3.14 inference(rename_variables,[],[660])).
% 3.01/3.14 cnf(1321,plain,
% 3.01/3.14 (P10(f3(x13211),x13212,x13211,x13211)),
% 3.01/3.14 inference(rename_variables,[],[208])).
% 3.01/3.14 cnf(1324,plain,
% 3.01/3.14 (P9(x13241,x13241,x13242)),
% 3.01/3.14 inference(rename_variables,[],[648])).
% 3.01/3.14 cnf(1327,plain,
% 3.01/3.14 (P10(f3(x13271),x13272,x13271,x13271)),
% 3.01/3.14 inference(rename_variables,[],[208])).
% 3.01/3.14 cnf(1330,plain,
% 3.01/3.14 (E(x13301,f26(f5(f5(f28(x13302),x13301),f6(f40(x13302,a1))),x13302))),
% 3.01/3.14 inference(rename_variables,[],[660])).
% 3.01/3.14 cnf(1332,plain,
% 3.01/3.14 (E(x13321,f26(f5(f5(f28(x13322),x13321),f6(f40(x13322,a1))),x13322))),
% 3.01/3.14 inference(rename_variables,[],[660])).
% 3.01/3.14 cnf(1334,plain,
% 3.01/3.14 (E(x13341,f26(f5(f5(f28(x13342),x13341),f6(f40(x13342,a1))),x13342))),
% 3.01/3.14 inference(rename_variables,[],[660])).
% 3.01/3.14 cnf(1336,plain,
% 3.01/3.14 (E(x13361,f26(f5(f5(f28(x13362),x13361),f6(f40(x13362,a1))),x13362))),
% 3.01/3.14 inference(rename_variables,[],[660])).
% 3.01/3.14 cnf(1338,plain,
% 3.01/3.14 (E(x13381,f26(f5(f5(f28(x13382),x13381),f6(f40(x13382,a1))),x13382))),
% 3.01/3.14 inference(rename_variables,[],[660])).
% 3.01/3.14 cnf(1340,plain,
% 3.01/3.14 (E(x13401,f26(f5(f5(f28(x13402),x13401),f6(f40(x13402,a1))),x13402))),
% 3.01/3.14 inference(rename_variables,[],[660])).
% 3.01/3.14 cnf(1342,plain,
% 3.01/3.14 (E(x13421,f26(f5(f5(f28(x13422),x13421),f6(f40(x13422,a1))),x13422))),
% 3.01/3.14 inference(rename_variables,[],[660])).
% 3.01/3.14 cnf(1344,plain,
% 3.01/3.14 (E(x13441,f26(f5(f5(f28(x13442),x13441),f6(f40(x13442,a1))),x13442))),
% 3.01/3.14 inference(rename_variables,[],[660])).
% 3.01/3.14 cnf(1346,plain,
% 3.01/3.14 (E(x13461,f26(f5(f5(f28(x13462),x13461),f6(f40(x13462,a1))),x13462))),
% 3.01/3.14 inference(rename_variables,[],[660])).
% 3.01/3.14 cnf(1348,plain,
% 3.01/3.14 (E(x13481,f26(f5(f5(f28(x13482),x13481),f6(f40(x13482,a1))),x13482))),
% 3.01/3.14 inference(rename_variables,[],[660])).
% 3.01/3.14 cnf(1350,plain,
% 3.01/3.14 (E(x13501,f26(f5(f5(f28(x13502),x13501),f6(f40(x13502,a1))),x13502))),
% 3.01/3.14 inference(rename_variables,[],[660])).
% 3.01/3.14 cnf(1352,plain,
% 3.01/3.14 (P10(f3(x13521),x13522,x13521,x13521)),
% 3.01/3.14 inference(rename_variables,[],[208])).
% 3.01/3.14 cnf(1359,plain,
% 3.01/3.14 (P7(x13591,f5(f5(f25(f40(x13592,a1)),x13591),x13593),f40(x13592,a1))),
% 3.01/3.14 inference(rename_variables,[],[224])).
% 3.01/3.14 cnf(1372,plain,
% 3.01/3.14 (P7(x13721,f5(f5(f25(f40(x13722,a1)),x13721),x13723),f40(x13722,a1))),
% 3.01/3.14 inference(rename_variables,[],[224])).
% 3.01/3.14 cnf(1373,plain,
% 3.01/3.14 (~P7(f5(f5(f28(x13731),x13732),f7(f6(f40(x13731,a1)),f5(f5(f28(x13731),x13732),f6(f40(x13731,a1))),f40(x13731,a1))),f7(f6(f40(x13731,a1)),x13733,f40(x13731,a1)),f40(x13731,a1))),
% 3.01/3.14 inference(rename_variables,[],[1205])).
% 3.01/3.14 cnf(1374,plain,
% 3.01/3.14 (P16(f40(x13741,a1))),
% 3.01/3.14 inference(rename_variables,[],[819])).
% 3.01/3.14 cnf(1396,plain,
% 3.01/3.14 (P1(f40(x13961,a1))),
% 3.01/3.14 inference(rename_variables,[],[829])).
% 3.01/3.14 cnf(1399,plain,
% 3.01/3.14 (~P7(f5(f5(f28(x13991),x13992),f7(f6(f40(x13991,a1)),f5(f5(f28(x13991),x13992),f6(f40(x13991,a1))),f40(x13991,a1))),f7(f6(f40(x13991,a1)),x13993,f40(x13991,a1)),f40(x13991,a1))),
% 3.01/3.14 inference(rename_variables,[],[1205])).
% 3.01/3.14 cnf(1402,plain,
% 3.01/3.14 (~P7(f5(f5(f28(x14021),x14022),f7(f6(f40(x14021,a1)),f5(f5(f28(x14021),x14022),f6(f40(x14021,a1))),f40(x14021,a1))),f7(f6(f40(x14021,a1)),x14023,f40(x14021,a1)),f40(x14021,a1))),
% 3.01/3.14 inference(rename_variables,[],[1205])).
% 3.01/3.14 cnf(1405,plain,
% 3.01/3.14 (~P7(f5(f5(f28(x14051),x14052),f7(f6(f40(x14051,a1)),f5(f5(f28(x14051),x14052),f6(f40(x14051,a1))),f40(x14051,a1))),f7(f6(f40(x14051,a1)),x14053,f40(x14051,a1)),f40(x14051,a1))),
% 3.01/3.14 inference(rename_variables,[],[1205])).
% 3.01/3.14 cnf(1412,plain,
% 3.01/3.14 (~P7(f5(f5(f28(x14121),x14122),f7(f6(f40(x14121,a1)),f5(f5(f28(x14121),x14122),f6(f40(x14121,a1))),f40(x14121,a1))),f7(f6(f40(x14121,a1)),x14123,f40(x14121,a1)),f40(x14121,a1))),
% 3.01/3.14 inference(rename_variables,[],[1205])).
% 3.01/3.14 cnf(1416,plain,
% 3.01/3.14 (P7(x14161,f5(f5(f25(f40(x14162,a1)),x14161),x14163),f40(x14162,a1))),
% 3.01/3.14 inference(rename_variables,[],[224])).
% 3.01/3.14 cnf(1419,plain,
% 3.01/3.14 (P7(x14191,f5(f5(f25(f40(x14192,a1)),x14191),x14193),f40(x14192,a1))),
% 3.01/3.14 inference(rename_variables,[],[224])).
% 3.01/3.14 cnf(1422,plain,
% 3.01/3.14 (P22(f33(f5(x14221,x14222),f32(x14221,f5(f5(f28(x14223),x14222),x14224),x14223,x14225),x14225))),
% 3.01/3.14 inference(rename_variables,[],[1094])).
% 3.01/3.14 cnf(1436,plain,
% 3.01/3.14 (P7(x14361,f5(f5(f25(f40(x14362,a1)),x14361),x14363),f40(x14362,a1))),
% 3.01/3.14 inference(rename_variables,[],[224])).
% 3.01/3.14 cnf(1437,plain,
% 3.01/3.14 (P7(x14371,f5(f5(f25(f40(x14372,a1)),x14371),x14373),f40(x14372,a1))),
% 3.01/3.14 inference(rename_variables,[],[224])).
% 3.01/3.14 cnf(1450,plain,
% 3.01/3.14 (P7(x14501,f5(f5(f25(f40(x14502,a1)),x14501),x14503),f40(x14502,a1))),
% 3.01/3.14 inference(rename_variables,[],[224])).
% 3.01/3.14 cnf(1453,plain,
% 3.01/3.14 (~E(f5(f5(f28(x14531),x14532),x14533),f6(f40(x14531,a1)))),
% 3.01/3.14 inference(rename_variables,[],[298])).
% 3.01/3.14 cnf(1460,plain,
% 3.01/3.14 (P7(x14601,f5(f5(f25(f40(x14602,a1)),x14601),x14603),f40(x14602,a1))),
% 3.01/3.14 inference(rename_variables,[],[224])).
% 3.01/3.14 cnf(1466,plain,
% 3.01/3.14 (P7(x14661,f5(f5(f25(f40(x14662,a1)),x14661),x14663),f40(x14662,a1))),
% 3.01/3.14 inference(rename_variables,[],[224])).
% 3.01/3.14 cnf(1469,plain,
% 3.01/3.14 (P7(x14691,f5(f5(f25(f40(x14692,a1)),x14691),x14693),f40(x14692,a1))),
% 3.01/3.14 inference(rename_variables,[],[224])).
% 3.01/3.14 cnf(1472,plain,
% 3.01/3.14 (P7(f5(f5(f20(f40(x14721,a1)),x14722),x14723),x14722,f40(x14721,a1))),
% 3.01/3.14 inference(rename_variables,[],[226])).
% 3.01/3.14 cnf(1475,plain,
% 3.01/3.14 (P7(x14751,f5(f5(f25(f40(x14752,a1)),x14751),x14753),f40(x14752,a1))),
% 3.01/3.14 inference(rename_variables,[],[224])).
% 3.01/3.14 cnf(1498,plain,
% 3.01/3.14 ($false),
% 3.01/3.14 inference(scs_inference,[],[270,646,288,224,1359,1372,1416,1419,1437,1460,1466,1469,1475,1436,1450,226,1472,258,205,298,1453,272,175,176,177,179,213,172,178,208,1321,1327,1352,169,174,173,304,170,171,1094,1422,1116,648,1324,1163,1110,1106,660,1319,1330,1332,1334,1336,1338,1340,1342,1344,1346,1348,1350,1034,1266,1232,1238,1205,1373,1399,1402,1405,1412,692,767,1056,687,762,1288,1161,720,1270,706,819,1374,825,829,1396,1160,622,633,611,139,138,137,136,135,134,133,132,131,130,129,614,376,610,325,366,364,362,360,404,342,340,391,388,379,336,355,619,317,441,439,437,435,552,460,348,448,395,565,563,631,578,627,458,510,523,432,581,590,529,533,492,516,474,353,352,351,346,491,531,430,466,538,337,378]),
% 3.01/3.14 ['proof']).
% 3.01/3.14 % SZS output end Proof
% 3.01/3.14 % Total time :2.340000s
%------------------------------------------------------------------------------