TSTP Solution File: SWV839-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV839-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n005.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 21:35:27 EDT 2023
% Result : Unsatisfiable 0.73s 0.83s
% Output : CNFRefutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV839-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 04:09:53 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.54 start to proof:theBenchmark
% 0.69/0.79 %-------------------------------------------
% 0.69/0.79 % File :CSE---1.6
% 0.69/0.79 % Problem :theBenchmark
% 0.69/0.79 % Transform :cnf
% 0.69/0.79 % Format :tptp:raw
% 0.69/0.79 % Command :java -jar mcs_scs.jar %d %s
% 0.69/0.79
% 0.69/0.79 % Result :Theorem 0.030000s
% 0.69/0.79 % Output :CNFRefutation 0.030000s
% 0.69/0.79 %-------------------------------------------
% 0.69/0.80 %------------------------------------------------------------------------------
% 0.69/0.80 % File : SWV839-1 : TPTP v8.1.2. Released v4.1.0.
% 0.69/0.80 % Domain : Software Verification
% 0.69/0.80 % Problem : Hoare logic with procedures 221_1
% 0.69/0.80 % Version : Especial.
% 0.69/0.80 % English : Completeness is taken relative to completeness of the underlying
% 0.69/0.80 % logic. Two versions of completeness proof: nested single recursion
% 0.69/0.80 % and simultaneous recursion in call rule.
% 0.69/0.80
% 0.69/0.80 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.69/0.80 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.69/0.80 % Source : [Nip10]
% 0.69/0.80 % Names : Hoare-221_1 [Nip10]
% 0.69/0.80
% 0.69/0.80 % Status : Unsatisfiable
% 0.69/0.80 % Rating : 0.05 v8.1.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.08 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.09 v6.2.0, 0.20 v6.1.0, 0.00 v5.5.0, 0.15 v5.3.0, 0.11 v5.2.0, 0.12 v5.0.0, 0.14 v4.1.0
% 0.69/0.80 % Syntax : Number of clauses : 454 ( 102 unt; 77 nHn; 266 RR)
% 0.69/0.80 % Number of literals : 1100 ( 224 equ; 596 neg)
% 0.69/0.80 % Maximal clause size : 6 ( 2 avg)
% 0.69/0.80 % Maximal term depth : 7 ( 2 avg)
% 0.69/0.80 % Number of predicates : 27 ( 26 usr; 0 prp; 1-9 aty)
% 0.69/0.80 % Number of functors : 56 ( 56 usr; 11 con; 0-6 aty)
% 0.69/0.80 % Number of variables : 1567 ( 219 sgn)
% 0.69/0.80 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.69/0.80
% 0.69/0.80 % Comments :
% 0.69/0.80 %------------------------------------------------------------------------------
% 0.69/0.80 cnf(cls_less__fun__def_0,axiom,
% 0.69/0.80 ( ~ class_HOL_Oord(T_b)
% 0.69/0.80 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,T_b)),V_f),V_g))
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_less__fun__def_2,axiom,
% 0.69/0.80 ( ~ class_HOL_Oord(T_b)
% 0.69/0.80 | c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b))
% 0.69/0.80 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,T_b)),V_g),V_f))
% 0.69/0.80 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,T_b)),V_f),V_g)) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_less__fun__def_1,axiom,
% 0.69/0.80 ( ~ class_HOL_Oord(T_b)
% 0.69/0.80 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,T_b)),V_g),V_f))
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_subset__iff__psubset__eq_0,axiom,
% 0.69/0.80 ( V_A = V_B
% 0.69/0.80 | c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.69/0.80 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_psubset__eq_2,axiom,
% 0.69/0.80 ( c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.69/0.80 | V_A = V_B
% 0.69/0.80 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_rev__finite__subset_0,axiom,
% 0.69/0.80 ( c_Finite__Set_Ofinite(V_A,T_a)
% 0.69/0.80 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.69/0.80 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_subset__psubset__trans_0,axiom,
% 0.69/0.80 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.69/0.80 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_psubset__subset__trans_0,axiom,
% 0.69/0.80 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.69/0.80 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C))
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_finite__subset_0,axiom,
% 0.69/0.80 ( c_Finite__Set_Ofinite(V_A,T_a)
% 0.69/0.80 | ~ c_Finite__Set_Ofinite(V_B,T_a)
% 0.69/0.80 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_psubset__eq_0,axiom,
% 0.69/0.80 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_setsum__diff1__ring_0,axiom,
% 0.69/0.80 ( ~ class_Ring__and__Field_Oring(T_b)
% 0.69/0.80 | c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b),hAPP(V_f,V_a),T_b)
% 0.69/0.80 | ~ hBOOL(c_in(V_a,V_A,T_a))
% 0.69/0.80 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_setsum__diff1_0,axiom,
% 0.69/0.80 ( ~ class_OrderedGroup_Oab__group__add(T_b)
% 0.69/0.80 | c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b),hAPP(V_f,V_a),T_b)
% 0.69/0.80 | ~ hBOOL(c_in(V_a,V_A,T_a))
% 0.69/0.80 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_psubset__insert__iff_7,axiom,
% 0.69/0.80 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.69/0.80 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.69/0.80 | hBOOL(c_in(V_x,V_A,T_a))
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_psubset__insert__iff_3,axiom,
% 0.69/0.80 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.69/0.80 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.69/0.80 | hBOOL(c_in(V_x,V_A,T_a))
% 0.69/0.80 | hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_psubset__insert__iff_2,axiom,
% 0.69/0.80 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.69/0.80 | hBOOL(c_in(V_x,V_A,T_a))
% 0.69/0.80 | hBOOL(c_in(V_x,V_B,T_a))
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_ivl__disj__un_I22_J_0,axiom,
% 0.69/0.80 ( ~ class_Orderings_Olinorder(T_a)
% 0.69/0.80 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_m,T_a),c_SetInterval_Oord__class_OgreaterThanAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)
% 0.69/0.80 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_m),V_u))
% 0.69/0.80 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_m)) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_singleton__conv_0,axiom,
% 0.69/0.80 c_Collect(hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_insert__def_0,axiom,
% 0.69/0.80 c_Set_Oinsert(V_a,V_B,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),T_a),V_B,tc_fun(T_a,tc_bool)) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_finite__insert_0,axiom,
% 0.69/0.80 ( c_Finite__Set_Ofinite(V_A,T_a)
% 0.69/0.80 | ~ c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_finite__insert_1,axiom,
% 0.69/0.80 ( c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a)
% 0.69/0.80 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_fold__graph_H_Ointros_I1_J_0,axiom,
% 0.69/0.80 c_Nitpick_Ofold__graph_H(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_z,T_a,T_b) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_fold__graph_OemptyI_0,axiom,
% 0.69/0.80 c_Finite__Set_Ofold__graph(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_z,T_a,T_b) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_empty__fold__graphE_0,axiom,
% 0.69/0.80 ( V_x = V_z
% 0.69/0.80 | ~ c_Finite__Set_Ofold__graph(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x,T_a,T_b) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_finite_OemptyI_0,axiom,
% 0.69/0.80 c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_not__psubset__empty_0,axiom,
% 0.69/0.80 ~ c_HOL_Oord__class_Oless(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_less__le__not__le_1,axiom,
% 0.69/0.80 ( ~ class_Orderings_Opreorder(T_a)
% 0.69/0.80 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_linorder__not__le_0,axiom,
% 0.69/0.80 ( ~ class_Orderings_Olinorder(T_a)
% 0.69/0.80 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.69/0.80 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_linorder__not__le_1,axiom,
% 0.69/0.80 ( ~ class_Orderings_Olinorder(T_a)
% 0.69/0.80 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_linorder__not__less_0,axiom,
% 0.69/0.80 ( ~ class_Orderings_Olinorder(T_a)
% 0.69/0.80 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 0.69/0.80 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_linorder__not__less_1,axiom,
% 0.69/0.80 ( ~ class_Orderings_Olinorder(T_a)
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.69/0.80 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_linorder__antisym__conv1_1,axiom,
% 0.69/0.80 ( ~ class_Orderings_Olinorder(T_a)
% 0.69/0.80 | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 0.69/0.80 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x)) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_linorder__antisym__conv2_1,axiom,
% 0.69/0.80 ( ~ class_Orderings_Olinorder(T_a)
% 0.69/0.80 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x))
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_not__leE_0,axiom,
% 0.69/0.80 ( ~ class_Orderings_Olinorder(T_a)
% 0.69/0.80 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.69/0.80 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_less__le__not__le_2,axiom,
% 0.69/0.80 ( ~ class_Orderings_Opreorder(T_a)
% 0.69/0.80 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.69/0.80 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 0.69/0.80 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_order__le__less_1,axiom,
% 0.69/0.80 ( ~ class_Orderings_Oorder(T_a)
% 0.69/0.80 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_order__less__imp__le_0,axiom,
% 0.69/0.80 ( ~ class_Orderings_Opreorder(T_a)
% 0.69/0.80 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_xt1_I7_J_0,axiom,
% 0.69/0.80 ( ~ class_Orderings_Oorder(T_a)
% 0.69/0.80 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.69/0.80 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),V_y))
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_xt1_I8_J_0,axiom,
% 0.69/0.80 ( ~ class_Orderings_Oorder(T_a)
% 0.69/0.80 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.69/0.80 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_order__le__less__trans_0,axiom,
% 0.69/0.80 ( ~ class_Orderings_Opreorder(T_a)
% 0.69/0.80 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.69/0.80 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_order__less__le__trans_0,axiom,
% 0.69/0.80 ( ~ class_Orderings_Opreorder(T_a)
% 0.69/0.80 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.69/0.80 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_z))
% 0.69/0.80 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.69/0.80
% 0.69/0.80 cnf(cls_xt1_I11_J_0,axiom,
% 0.69/0.81 ( ~ class_Orderings_Oorder(T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.69/0.81 | V_a = V_b
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_a)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_xt1_I12_J_0,axiom,
% 0.69/0.81 ( ~ class_Orderings_Oorder(T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_a))
% 0.69/0.81 | V_a = V_b ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_order__le__less_0,axiom,
% 0.69/0.81 ( ~ class_Orderings_Oorder(T_a)
% 0.69/0.81 | V_x = V_y
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_order__less__le_2,axiom,
% 0.69/0.81 ( ~ class_Orderings_Oorder(T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.69/0.81 | V_x = V_y
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_order__le__neq__trans_0,axiom,
% 0.69/0.81 ( ~ class_Orderings_Oorder(T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.69/0.81 | V_a = V_b
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_order__neq__le__trans_0,axiom,
% 0.69/0.81 ( ~ class_Orderings_Oorder(T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 0.69/0.81 | V_a = V_b ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_linorder__antisym__conv1_0,axiom,
% 0.69/0.81 ( ~ class_Orderings_Olinorder(T_a)
% 0.69/0.81 | V_x = V_y
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_linorder__antisym__conv2_0,axiom,
% 0.69/0.81 ( ~ class_Orderings_Olinorder(T_a)
% 0.69/0.81 | V_x = V_y
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_minus__less__iff_1,axiom,
% 0.69/0.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_minus__less__iff_0,axiom,
% 0.69/0.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_less__minus__iff_1,axiom,
% 0.69/0.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_less__minus__iff_0,axiom,
% 0.69/0.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_less__supI2_0,axiom,
% 0.69/0.81 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_less__supI1_0,axiom,
% 0.69/0.81 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_finite_0,axiom,
% 0.69/0.81 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a)
% 0.69/0.81 | c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_atLeastatMost__psubset__iff_2,axiom,
% 0.69/0.81 ( ~ class_Orderings_Oorder(T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_b,V_d,T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_c,V_a,T_a)
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_complete__lattice_Odual__complete__lattice_0,axiom,
% 0.69/0.81 ( c_Complete__Lattice_Ocomplete__lattice(V_Sup,V_Inf,c_COMBC(V_less__eq,T_a,T_a,tc_bool),c_COMBC(V_less,T_a,T_a,tc_bool),V_sup,V_inf,V_top,V_bot,T_a)
% 0.69/0.81 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_COMBK__def_0,axiom,
% 0.69/0.81 hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_COMBC__def_0,axiom,
% 0.69/0.81 hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_xt1_I10_J_0,axiom,
% 0.69/0.81 ( ~ class_Orderings_Oorder(T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_psubsetD_0,axiom,
% 0.69/0.81 ( hBOOL(c_in(V_c,V_B,T_a))
% 0.69/0.81 | ~ hBOOL(c_in(V_c,V_A,T_a))
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_psubset__trans_0,axiom,
% 0.69/0.81 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_order__less__trans_0,axiom,
% 0.69/0.81 ( ~ class_Orderings_Opreorder(T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_fold__graph__imp__finite_0,axiom,
% 0.69/0.81 ( c_Finite__Set_Ofinite(V_A,T_a)
% 0.69/0.81 | ~ c_Finite__Set_Ofold__graph(V_f,V_z,V_A,V_x,T_a,T_b) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_greaterThanAtMost__empty__iff_1,axiom,
% 0.69/0.81 ( ~ class_Orderings_Oorder(T_a)
% 0.69/0.81 | c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_k,V_l,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_greaterThanAtMost__empty__iff_0,axiom,
% 0.69/0.81 ( ~ class_Orderings_Oorder(T_a)
% 0.69/0.81 | c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_k,V_l,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_finite__Diff_0,axiom,
% 0.69/0.81 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.69/0.81 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_finite__Diff2_0,axiom,
% 0.69/0.81 ( c_Finite__Set_Ofinite(V_A,T_a)
% 0.69/0.81 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.69/0.81 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_finite__Diff2_1,axiom,
% 0.69/0.81 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.69/0.81 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 0.69/0.81 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_the__eq__trivial_0,axiom,
% 0.69/0.81 c_The(hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),T_a) = V_a ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_finite__Un_2,axiom,
% 0.69/0.81 ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
% 0.69/0.81 | ~ c_Finite__Set_Ofinite(V_G,T_a)
% 0.69/0.81 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_finite__UnI_0,axiom,
% 0.69/0.81 ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
% 0.69/0.81 | ~ c_Finite__Set_Ofinite(V_G,T_a)
% 0.69/0.81 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_finite__Un_0,axiom,
% 0.69/0.81 ( c_Finite__Set_Ofinite(V_F,T_a)
% 0.69/0.81 | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_finite__Un_1,axiom,
% 0.69/0.81 ( c_Finite__Set_Ofinite(V_G,T_a)
% 0.69/0.81 | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_neg__less__iff__less_1,axiom,
% 0.69/0.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_neg__less__iff__less_0,axiom,
% 0.69/0.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_psubset__eq_1,axiom,
% 0.69/0.81 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_order__less__le_1,axiom,
% 0.69/0.81 ( ~ class_Orderings_Oorder(T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_linorder__neq__iff_1,axiom,
% 0.69/0.81 ( ~ class_Orderings_Olinorder(T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_order__less__irrefl_0,axiom,
% 0.69/0.81 ( ~ class_Orderings_Opreorder(T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_atLeastatMost__psubset__iff_6,axiom,
% 0.69/0.81 ( ~ class_Orderings_Oorder(T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_d))
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_b,V_d,T_a)
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_d))
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_a)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_atLeastatMost__psubset__iff_5,axiom,
% 0.69/0.81 ( ~ class_Orderings_Oorder(T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_d))
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_c,V_a,T_a)
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_d))
% 0.69/0.81 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_a)) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 0.69/0.81 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.69/0.81 | V_x = V_y ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 0.69/0.81 ( ~ class_Orderings_Olinorder(T_a)
% 0.69/0.81 | V_x = V_y
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_linorder__neqE_0,axiom,
% 0.69/0.81 ( ~ class_Orderings_Olinorder(T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.69/0.81 | V_x = V_y ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_linorder__less__linear_0,axiom,
% 0.69/0.81 ( ~ class_Orderings_Olinorder(T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.69/0.81 | V_x = V_y
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_linorder__antisym__conv3_0,axiom,
% 0.69/0.81 ( ~ class_Orderings_Olinorder(T_a)
% 0.69/0.81 | V_x = V_y
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_greaterThanAtMost__empty__iff2_1,axiom,
% 0.69/0.81 ( ~ class_Orderings_Oorder(T_a)
% 0.69/0.81 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_k,V_l,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_greaterThanAtMost__empty__iff2_0,axiom,
% 0.69/0.81 ( ~ class_Orderings_Oorder(T_a)
% 0.69/0.81 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_k,V_l,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_less__eqI_0,axiom,
% 0.69/0.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.69/0.81 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_less__eqI_1,axiom,
% 0.69/0.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.69/0.81 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.69/0.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_xt1_I9_J_0,axiom,
% 0.69/0.81 ( ~ class_Orderings_Oorder(T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 0.69/0.81 ( ~ class_Orderings_Olinorder(T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_order__less__asym_0,axiom,
% 0.69/0.81 ( ~ class_Orderings_Opreorder(T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_order__less__asym_H_0,axiom,
% 0.69/0.81 ( ~ class_Orderings_Opreorder(T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.69/0.81 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.69/0.81
% 0.69/0.81 cnf(cls_setsum__diff_0,axiom,
% 0.69/0.81 ( ~ class_OrderedGroup_Oab__group__add(T_b)
% 0.73/0.81 | c_Finite__Set_Osetsum(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_Finite__Set_Osetsum(V_f,V_A,T_a,T_b),c_Finite__Set_Osetsum(V_f,V_B,T_a,T_b),T_b)
% 0.73/0.81 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A))
% 0.73/0.81 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.73/0.81
% 0.73/0.81 cnf(cls_greaterThanAtMost__empty_0,axiom,
% 0.73/0.81 ( ~ class_Orderings_Oorder(T_a)
% 0.73/0.81 | c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.73/0.81 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_k)) ) ).
% 0.73/0.81
% 0.73/0.81 cnf(cls_fold__graph_OinsertI_0,axiom,
% 0.73/0.81 ( c_Finite__Set_Ofold__graph(V_f,V_z,c_Set_Oinsert(V_x,V_A,T_a),hAPP(hAPP(V_f,V_x),V_y),T_a,T_b)
% 0.73/0.81 | ~ c_Finite__Set_Ofold__graph(V_f,V_z,V_A,V_y,T_a,T_b)
% 0.73/0.81 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.73/0.81
% 0.73/0.81 cnf(cls_psubset__insert__iff_0,axiom,
% 0.73/0.81 ( c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.73/0.81 | ~ hBOOL(c_in(V_x,V_B,T_a))
% 0.73/0.81 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.73/0.81
% 0.73/0.81 cnf(cls_psubset__insert__iff_6,axiom,
% 0.73/0.81 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.73/0.81 | ~ hBOOL(c_in(V_x,V_B,T_a))
% 0.73/0.81 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.73/0.81
% 0.73/0.81 cnf(cls_atLeastatMost__psubset__iff_1,axiom,
% 0.73/0.81 ( ~ class_Orderings_Oorder(T_a)
% 0.73/0.81 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_d))
% 0.73/0.81 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 0.73/0.81 | ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.73/0.81
% 0.73/0.81 cnf(cls_atLeastatMost__psubset__iff_0,axiom,
% 0.73/0.81 ( ~ class_Orderings_Oorder(T_a)
% 0.73/0.81 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_a))
% 0.73/0.81 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 0.73/0.81 | ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.73/0.81
% 0.73/0.81 cnf(cls_atLeastatMost__psubset__iff_3,axiom,
% 0.73/0.81 ( ~ class_Orderings_Oorder(T_a)
% 0.73/0.81 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_d))
% 0.73/0.81 | ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.73/0.81
% 0.73/0.81 cnf(cls_atLeastatMost__psubset__iff_4,axiom,
% 0.73/0.81 ( ~ class_Orderings_Oorder(T_a)
% 0.73/0.81 | c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))
% 0.73/0.81 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_d))
% 0.73/0.81 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 0.73/0.81
% 0.73/0.81 cnf(cls_ivl__disj__un_I20_J_0,axiom,
% 0.73/0.81 ( ~ class_Orderings_Olinorder(T_a)
% 0.73/0.81 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_m,T_a),c_SetInterval_Oord__class_OgreaterThanAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_u,T_a)
% 0.73/0.81 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_m),V_u))
% 0.73/0.81 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_m)) ) ).
% 0.73/0.81
% 0.73/0.81 cnf(cls_finite__UN_0,axiom,
% 0.73/0.81 ( c_Finite__Set_Ofinite(hAPP(V_B,V_x),T_b)
% 0.73/0.81 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.73/0.81 | ~ 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)
% 0.73/0.81 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.73/0.81
% 0.73/0.81 cnf(cls_setsum__diff1_1,axiom,
% 0.73/0.81 ( ~ class_OrderedGroup_Oab__group__add(T_b)
% 0.73/0.81 | c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b) = c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b)
% 0.73/0.81 | hBOOL(c_in(V_a,V_A,T_a))
% 0.73/0.81 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.73/0.81
% 0.73/0.81 cnf(cls_atLeastatMost__empty_0,axiom,
% 0.73/0.81 ( ~ class_Orderings_Oorder(T_a)
% 0.73/0.81 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.73/0.81 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.73/0.81
% 0.73/0.81 cnf(cls_SUP__const_0,axiom,
% 0.73/0.81 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b)
% 0.73/0.81 | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_M,T_b,T_a),T_a,T_b) = V_M
% 0.73/0.81 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.73/0.81
% 0.73/0.81 cnf(cls_UN__constant_0,axiom,
% 0.73/0.81 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),c_COMBK(V_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.73/0.81
% 0.73/0.81 cnf(cls_UN__constant_1,axiom,
% 0.73/0.81 ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = V_c
% 0.73/0.81 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.73/0.81
% 0.73/0.81 cnf(cls_UN__empty2_0,axiom,
% 0.73/0.81 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.73/0.81
% 0.73/0.81 cnf(cls_finite__Diff__insert_0,axiom,
% 0.73/0.81 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.73/0.81 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.73/0.81
% 0.73/0.81 cnf(cls_finite__Diff__insert_1,axiom,
% 0.73/0.81 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),T_a)
% 0.73/0.81 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.73/0.81
% 0.73/0.81 cnf(cls_atLeastLessThan__empty__iff2_1,axiom,
% 0.73/0.81 ( ~ class_Orderings_Oorder(T_a)
% 0.73/0.82 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)
% 0.73/0.82 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_atLeastLessThan__empty__iff2_0,axiom,
% 0.73/0.82 ( ~ class_Orderings_Oorder(T_a)
% 0.73/0.82 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)
% 0.73/0.82 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_atLeastLessThan__empty__iff_1,axiom,
% 0.73/0.82 ( ~ class_Orderings_Oorder(T_a)
% 0.73/0.82 | c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.73/0.82 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_atLeastLessThan__empty__iff_0,axiom,
% 0.73/0.82 ( ~ class_Orderings_Oorder(T_a)
% 0.73/0.82 | c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.73/0.82 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_complete__lattice__class_Oaxioms_0,axiom,
% 0.73/0.82 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.73/0.82 | c_Complete__Lattice_Ocomplete__lattice__axioms(c_Complete__Lattice_OInf__class_OInf(T_a),c_Complete__Lattice_OSup__class_OSup(T_a),c_lessequals(T_a),T_a) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_fun__Compl__def__raw_0,axiom,
% 0.73/0.82 ( ~ class_HOL_Ouminus(t_b)
% 0.73/0.82 | hAPP(c_HOL_Ouminus__class_Ouminus(v_A,tc_fun(t_a,t_b)),v_x) = c_HOL_Ouminus__class_Ouminus(hAPP(v_A,v_x),t_b) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Max__ge_0,axiom,
% 0.73/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Finite__Set_Olinorder__class_OMax(V_A,T_a)))
% 0.73/0.82 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.73/0.82 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Min__le_0,axiom,
% 0.73/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Finite__Set_Olinorder__class_OMin(V_A,T_a)),V_x))
% 0.73/0.82 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.73/0.82 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Min__in_0,axiom,
% 0.73/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.73/0.82 | hBOOL(c_in(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_A,T_a))
% 0.73/0.82 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.73/0.82 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Max__in_0,axiom,
% 0.73/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.73/0.82 | hBOOL(c_in(c_Finite__Set_Olinorder__class_OMax(V_A,T_a),V_A,T_a))
% 0.73/0.82 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.73/0.82 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_fold1Set_Ointros_0,axiom,
% 0.73/0.82 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a),V_x))
% 0.73/0.82 | hBOOL(c_in(V_a,V_A,T_a))
% 0.73/0.82 | ~ c_Finite__Set_Ofold__graph(V_f,V_a,V_A,V_x,T_a,T_a) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Diff1__fold__graph_0,axiom,
% 0.73/0.82 ( c_Finite__Set_Ofold__graph(V_f,V_z,V_A,hAPP(hAPP(V_f,V_x),V_y),T_a,T_b)
% 0.73/0.82 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.73/0.82 | ~ c_Finite__Set_Ofold__graph(V_f,V_z,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_y,T_a,T_b) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_setsum__diff1__nat_1,axiom,
% 0.73/0.82 ( c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,tc_nat) = c_Finite__Set_Osetsum(V_f,V_A,T_a,tc_nat)
% 0.73/0.82 | hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_psubset__insert__iff_8,axiom,
% 0.73/0.82 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.73/0.82 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.73/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 0.73/0.82 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_psubset__insert__iff_4,axiom,
% 0.73/0.82 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.73/0.82 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.73/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 0.73/0.82 | hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_psubset__insert__iff_1,axiom,
% 0.73/0.82 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 0.73/0.82 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.73/0.82 | hBOOL(c_in(V_x,V_B,T_a))
% 0.73/0.82 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_fold__graph_H_Ointros_I2_J_0,axiom,
% 0.73/0.82 ( c_Nitpick_Ofold__graph_H(V_f,V_z,V_A,hAPP(hAPP(V_f,V_x),V_y),T_a,T_b)
% 0.73/0.82 | ~ c_Nitpick_Ofold__graph_H(V_f,V_z,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_y,T_a,T_b)
% 0.73/0.82 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_psubset__insert__iff_9,axiom,
% 0.73/0.82 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.73/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 0.73/0.82 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Min__antimono_0,axiom,
% 0.73/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Finite__Set_Olinorder__class_OMin(V_N,T_a)),c_Finite__Set_Olinorder__class_OMin(V_M,T_a)))
% 0.73/0.82 | ~ c_Finite__Set_Ofinite(V_N,T_a)
% 0.73/0.82 | V_M = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_M),V_N)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Max__mono_0,axiom,
% 0.73/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Finite__Set_Olinorder__class_OMax(V_M,T_a)),c_Finite__Set_Olinorder__class_OMax(V_N,T_a)))
% 0.73/0.82 | ~ c_Finite__Set_Ofinite(V_N,T_a)
% 0.73/0.82 | V_M = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_M),V_N)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_escape_1,axiom,
% 0.73/0.82 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 0.73/0.82 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(hAPP(c_COMBC(c_fequal(tc_Com_Ostate),tc_Com_Ostate,tc_Com_Ostate,tc_bool),v_sko__Hoare__Mirabelle__Xescape__2(V_G,V_P,V_Q,V_c)),tc_fun(tc_Com_Ostate,tc_bool),t_a),V_c,c_COMBK(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xescape__1(V_G,V_P,V_Q,V_c)),tc_fun(tc_Com_Ostate,tc_bool),t_a),t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_ivl__disj__un_I5_J_0,axiom,
% 0.73/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.73/0.82 | c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_l,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_u)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_psubset__insert__iff_5,axiom,
% 0.73/0.82 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.73/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 0.73/0.82 | hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_sup__least_0,axiom,
% 0.73/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a)),V_x))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),V_x))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_le__sup__iff_2,axiom,
% 0.73/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)),V_z))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_z))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 0.73/0.82 ( ~ class_Lattices_Olattice(T_a)
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a))) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 0.73/0.82 ( ~ class_Lattices_Olattice(T_a)
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a))) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_le__minus__iff_0,axiom,
% 0.73/0.82 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),c_HOL_Ouminus__class_Ouminus(V_a,T_a)))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a))) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_le__minus__iff_1,axiom,
% 0.73/0.82 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),c_HOL_Ouminus__class_Ouminus(V_a,T_a))) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_minus__le__iff_0,axiom,
% 0.73/0.82 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),V_a))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_b)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_minus__le__iff_1,axiom,
% 0.73/0.82 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_b))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),V_a)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_ivl__disj__un_I6_J_0,axiom,
% 0.73/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.73/0.82 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a),c_Set_Oinsert(V_u,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_u)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_sup__bot__left_0,axiom,
% 0.73/0.82 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.73/0.82 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_sup__bot__right_0,axiom,
% 0.73/0.82 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.73/0.82 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_sup__eq__bot__eq1_0,axiom,
% 0.73/0.82 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.73/0.82 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 0.73/0.82 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_sup__eq__bot__eq2_0,axiom,
% 0.73/0.82 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.73/0.82 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 0.73/0.82 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Un__empty_2,axiom,
% 0.73/0.82 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_complete__lattice_OInf__empty_0,axiom,
% 0.73/0.82 ( hAPP(V_Inf,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_top
% 0.73/0.82 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_complete__lattice_OSup__empty_0,axiom,
% 0.73/0.82 ( hAPP(V_Sup,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_bot
% 0.73/0.82 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_empty__Collect__eq_0,axiom,
% 0.73/0.82 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Collect(V_P,T_a)
% 0.73/0.82 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_ex__in__conv_0,axiom,
% 0.73/0.82 ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_ball__empty_0,axiom,
% 0.73/0.82 ( hBOOL(hAPP(V_P,V_x))
% 0.73/0.82 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_empty__iff_0,axiom,
% 0.73/0.82 ~ hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_emptyE_0,axiom,
% 0.73/0.82 ~ hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Collect__empty__eq_0,axiom,
% 0.73/0.82 ( c_Collect(V_P,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.73/0.82 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_empty__fold1SetE_0,axiom,
% 0.73/0.82 ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_x)) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_empty__Diff_0,axiom,
% 0.73/0.82 c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Un__empty__right_0,axiom,
% 0.73/0.82 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Un__empty__left_0,axiom,
% 0.73/0.82 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Diff__cancel_0,axiom,
% 0.73/0.82 c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Diff__empty_0,axiom,
% 0.73/0.82 c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_bex__empty_0,axiom,
% 0.73/0.82 ( ~ hBOOL(hAPP(V_P,V_x))
% 0.73/0.82 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Un__empty_1,axiom,
% 0.73/0.82 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.73/0.82 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Un__empty_0,axiom,
% 0.73/0.82 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.73/0.82 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_insert__Diff_0,axiom,
% 0.73/0.82 ( c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = V_A
% 0.73/0.82 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Sup__binary_0,axiom,
% 0.73/0.82 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.73/0.82 | hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) = c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Diff__insert__absorb_0,axiom,
% 0.73/0.82 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) = V_A
% 0.73/0.82 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_insert__iff_2,axiom,
% 0.73/0.82 ( hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a))
% 0.73/0.82 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_insertCI_0,axiom,
% 0.73/0.82 ( hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a))
% 0.73/0.82 | ~ hBOOL(c_in(V_a,V_B,T_a)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_complete__lattice_OInf__insert_0,axiom,
% 0.73/0.82 ( hAPP(V_Inf,c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(V_inf,V_a),hAPP(V_Inf,V_A))
% 0.73/0.82 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_complete__lattice_OSup__insert_0,axiom,
% 0.73/0.82 ( hAPP(V_Sup,c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(V_sup,V_a),hAPP(V_Sup,V_A))
% 0.73/0.82 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_insertE_0,axiom,
% 0.73/0.82 ( hBOOL(c_in(V_a,V_A,T_a))
% 0.73/0.82 | V_a = V_b
% 0.73/0.82 | ~ hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Un__insert__right_0,axiom,
% 0.73/0.82 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Un__insert__left_0,axiom,
% 0.73/0.82 c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_insert__iff_1,axiom,
% 0.73/0.82 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_insertI1_0,axiom,
% 0.73/0.82 hBOOL(c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a)) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_insertCI_1,axiom,
% 0.73/0.82 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_insert__ident_0,axiom,
% 0.73/0.82 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a)
% 0.73/0.82 | hBOOL(c_in(V_x,V_B,T_a))
% 0.73/0.82 | hBOOL(c_in(V_x,V_A,T_a))
% 0.73/0.82 | V_A = V_B ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_insert__absorb_0,axiom,
% 0.73/0.82 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A
% 0.73/0.82 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_double__diff_0,axiom,
% 0.73/0.82 ( c_HOL_Ominus__class_Ominus(V_B,c_HOL_Ominus__class_Ominus(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_subset__iff_0,axiom,
% 0.73/0.82 ( hBOOL(c_in(V_t,V_B,T_a))
% 0.73/0.82 | ~ hBOOL(c_in(V_t,V_A,T_a))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_set__rev__mp_0,axiom,
% 0.73/0.82 ( hBOOL(c_in(V_x,V_B,T_a))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.73/0.82 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_subsetD_0,axiom,
% 0.73/0.82 ( hBOOL(c_in(V_c,V_B,T_a))
% 0.73/0.82 | ~ hBOOL(c_in(V_c,V_A,T_a))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_set__mp_0,axiom,
% 0.73/0.82 ( hBOOL(c_in(V_x,V_B,T_a))
% 0.73/0.82 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Un__subset__iff_1,axiom,
% 0.73/0.82 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))),V_C)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Un__subset__iff_0,axiom,
% 0.73/0.82 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))),V_C)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Un__mono_0,axiom,
% 0.73/0.82 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_D,tc_fun(T_a,tc_bool))))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_D))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_subset__Un__eq_1,axiom,
% 0.73/0.82 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Un__absorb2_0,axiom,
% 0.73/0.82 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Un__absorb1_0,axiom,
% 0.73/0.82 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Diff__mono_0,axiom,
% 0.73/0.82 ( hBOOL(hAPP(hAPP(c_lessequals(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_C,V_D,tc_fun(T_a,tc_bool))))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_D),V_B))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Compl__subset__Compl__iff_1,axiom,
% 0.73/0.82 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool))),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool))))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Compl__subset__Compl__iff_0,axiom,
% 0.73/0.82 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool))),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)))) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Compl__anti__mono_0,axiom,
% 0.73/0.82 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool))),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool))))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Un__subset__iff_2,axiom,
% 0.73/0.82 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))),V_C))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Un__upper2_0,axiom,
% 0.73/0.82 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)))) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Un__upper1_0,axiom,
% 0.73/0.82 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)))) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Un__least_0,axiom,
% 0.73/0.82 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))),V_C))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Diff__subset_0,axiom,
% 0.73/0.82 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),V_A)) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_com_Osimps_I12_J_0,axiom,
% 0.73/0.82 c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_com_Osimps_I13_J_0,axiom,
% 0.73/0.82 c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_diff__single__insert_0,axiom,
% 0.73/0.82 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))
% 0.73/0.82 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool))),V_B)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_subset__insert__iff_3,axiom,
% 0.73/0.82 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))
% 0.73/0.82 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool))),V_B)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_subset__insert__iff_0,axiom,
% 0.73/0.82 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool))),V_B))
% 0.73/0.82 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_atLeastatMost__empty__iff_0,axiom,
% 0.73/0.82 ( ~ class_Orderings_Oorder(T_a)
% 0.73/0.82 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_atLeastatMost__empty__iff_1,axiom,
% 0.73/0.82 ( ~ class_Orderings_Oorder(T_a)
% 0.73/0.82 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_atLeastatMost__empty__iff2_0,axiom,
% 0.73/0.82 ( ~ class_Orderings_Oorder(T_a)
% 0.73/0.82 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_atLeastatMost__empty__iff2_1,axiom,
% 0.73/0.82 ( ~ class_Orderings_Oorder(T_a)
% 0.73/0.82 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_atLeastLessThan__empty_0,axiom,
% 0.73/0.82 ( ~ class_Orderings_Oorder(T_a)
% 0.73/0.82 | c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_a)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_atLeastatMost__subset__iff_2,axiom,
% 0.73/0.82 ( ~ class_Orderings_Oorder(T_a)
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a)))
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_atLeastatMost__subset__iff_0,axiom,
% 0.73/0.82 ( ~ class_Orderings_Oorder(T_a)
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_a))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a))) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_atLeastatMost__subset__iff_1,axiom,
% 0.73/0.82 ( ~ class_Orderings_Oorder(T_a)
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_d))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a))) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_atLeastatMost__subset__iff_3,axiom,
% 0.73/0.82 ( ~ class_Orderings_Oorder(T_a)
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a)))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_d))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_a)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_atLeastLessThan__subset__iff_0,axiom,
% 0.73/0.82 ( ~ class_Orderings_Olinorder(T_a)
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_c),V_a))
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_a))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastLessThan(V_c,V_d,T_a))) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_sup__ge2_0,axiom,
% 0.73/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a))) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_sup__ge1_0,axiom,
% 0.73/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a))) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_le__supI_0,axiom,
% 0.73/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)),V_x))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_x))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_x)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_neg__le__iff__le_0,axiom,
% 0.73/0.82 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),c_HOL_Ouminus__class_Ouminus(V_a,T_a))) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_le__imp__neg__le_0,axiom,
% 0.73/0.82 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),c_HOL_Ouminus__class_Ouminus(V_a,T_a)))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_sup__absorb1_0,axiom,
% 0.73/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.73/0.82 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_le__iff__sup_1,axiom,
% 0.73/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.73/0.82 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_le__iff__sup_0,axiom,
% 0.73/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.73/0.82 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_le__sup__iff_1,axiom,
% 0.73/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_z))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)),V_z)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_le__sup__iff_0,axiom,
% 0.73/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)),V_z)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_le__supI2_0,axiom,
% 0.73/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_b)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_le__supI1_0,axiom,
% 0.73/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_a)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_le__supE_1,axiom,
% 0.73/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_x))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)),V_x)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_le__supE_0,axiom,
% 0.73/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_x))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)),V_x)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_le__eqI_0,axiom,
% 0.73/0.82 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.73/0.82 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y_H),V_x_H))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_le__eqI_1,axiom,
% 0.73/0.82 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.73/0.82 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.73/0.82 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y_H),V_x_H)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_minus__diff__eq_0,axiom,
% 0.73/0.82 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.73/0.82 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_HOL_Ominus__class_Ominus(V_b,V_a,T_a) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_minus__equation__iff_1,axiom,
% 0.73/0.82 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.73/0.82 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_equation__minus__iff_1,axiom,
% 0.73/0.82 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.73/0.82 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_equation__minus__iff_0,axiom,
% 0.73/0.82 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.73/0.82 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_double__compl_0,axiom,
% 0.73/0.82 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.73/0.82 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_minus__minus_0,axiom,
% 0.73/0.82 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.73/0.82 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_double__complement_0,axiom,
% 0.73/0.82 c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Diff__subset__conv_0,axiom,
% 0.73/0.82 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool))))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),V_C)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Diff__subset__conv_1,axiom,
% 0.73/0.82 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),V_C))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)))) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_insert__Diff__if_1,axiom,
% 0.73/0.82 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_x,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.73/0.82 | hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_SUP1__I_0,axiom,
% 0.73/0.82 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(V_B,V_a),V_b))
% 0.73/0.82 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_SUP1__iff_2,axiom,
% 0.73/0.82 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(V_B,V_x),V_b))
% 0.73/0.82 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 0.73/0.82 ( ~ class_Lattices_Olattice(T_a)
% 0.73/0.82 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_sup__left__idem_0,axiom,
% 0.73/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.73/0.82 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Un__left__absorb_0,axiom,
% 0.73/0.82 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 0.73/0.82 ( ~ class_Lattices_Olattice(T_a)
% 0.73/0.82 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_sup__commute_0,axiom,
% 0.73/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.73/0.82 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Un__commute_0,axiom,
% 0.73/0.82 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_complete__lattice_OSup__upper_0,axiom,
% 0.73/0.82 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),hAPP(V_Sup,V_A)))
% 0.73/0.82 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.73/0.82 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_complete__lattice_OInf__lower_0,axiom,
% 0.73/0.82 ( hBOOL(hAPP(hAPP(V_less__eq,hAPP(V_Inf,V_A)),V_x))
% 0.73/0.82 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.73/0.82 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Un__Diff_0,axiom,
% 0.73/0.82 c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_fun__diff__def_0,axiom,
% 0.73/0.82 ( ~ class_HOL_Ominus(T_b)
% 0.73/0.82 | 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) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Un__Diff__cancel_0,axiom,
% 0.73/0.82 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Un__Diff__cancel2_0,axiom,
% 0.73/0.82 c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_UN__I_0,axiom,
% 0.73/0.82 ( 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))
% 0.73/0.82 | ~ hBOOL(c_in(V_b,hAPP(V_B,V_a),T_b))
% 0.73/0.82 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_UN__iff_2,axiom,
% 0.73/0.82 ( 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))
% 0.73/0.82 | ~ hBOOL(c_in(V_b,hAPP(V_B,V_x),T_a))
% 0.73/0.82 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_DiffI_0,axiom,
% 0.73/0.82 ( hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.73/0.82 | hBOOL(c_in(V_c,V_B,T_a))
% 0.73/0.82 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Diff__iff_2,axiom,
% 0.73/0.82 ( hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.73/0.82 | hBOOL(c_in(V_c,V_B,T_a))
% 0.73/0.82 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_CollectD_0,axiom,
% 0.73/0.82 ( hBOOL(hAPP(V_P,V_a))
% 0.73/0.82 | ~ hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_CollectI_0,axiom,
% 0.73/0.82 ( hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a))
% 0.73/0.82 | ~ hBOOL(hAPP(V_P,V_a)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Diff__partition_0,axiom,
% 0.73/0.82 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_B
% 0.73/0.82 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 0.73/0.82 ( ~ class_Lattices_Olattice(T_a)
% 0.73/0.82 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 0.73/0.82 ( ~ class_Lattices_Olattice(T_a)
% 0.73/0.82 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_sup__left__commute_0,axiom,
% 0.73/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.73/0.82 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_sup__assoc_0,axiom,
% 0.73/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.73/0.82 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Un__assoc_0,axiom,
% 0.73/0.82 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Un__left__commute_0,axiom,
% 0.73/0.82 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_eq__eqI_0,axiom,
% 0.73/0.82 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.73/0.82 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.73/0.82 | V_x_H = V_y_H ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_eq__eqI_1,axiom,
% 0.73/0.82 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.73/0.82 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 0.73/0.82 | V_xa = V_y ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_Diff__idemp_0,axiom,
% 0.73/0.82 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_mem__def_0,axiom,
% 0.73/0.82 ( hBOOL(hAPP(V_S,V_x))
% 0.73/0.82 | ~ hBOOL(c_in(V_x,V_S,T_a)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_mem__def_1,axiom,
% 0.73/0.82 ( hBOOL(c_in(V_x,V_S,T_a))
% 0.73/0.82 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_INT__extend__simps_I4_J_0,axiom,
% 0.73/0.82 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 ).
% 0.73/0.82
% 0.73/0.82 cnf(cls_sup__idem_0,axiom,
% 0.73/0.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.73/0.83 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_Un__absorb_0,axiom,
% 0.73/0.83 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_sup__fun__eq_0,axiom,
% 0.73/0.83 ( ~ class_Lattices_Olattice(T_b)
% 0.73/0.83 | hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_f,V_g,tc_fun(t_a,T_b)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_fold1__def_0,axiom,
% 0.73/0.83 c_Finite__Set_Ofold1(V_f,V_A,T_a) = c_The(c_Finite__Set_Ofold1Set(V_f,V_A,T_a),T_a) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_le__SUPI_0,axiom,
% 0.73/0.83 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b)
% 0.73/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_b),hAPP(V_M,V_i)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_a,T_b)))
% 0.73/0.83 | ~ hBOOL(c_in(V_i,V_A,T_a)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_UN__upper_0,axiom,
% 0.73/0.83 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_b,tc_bool)),hAPP(V_B,V_a)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool))))
% 0.73/0.83 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_insert__Diff1_0,axiom,
% 0.73/0.83 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.73/0.83 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_ComplD_0,axiom,
% 0.73/0.83 ( ~ hBOOL(c_in(V_c,V_A,T_a))
% 0.73/0.83 | ~ hBOOL(c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_ComplI_0,axiom,
% 0.73/0.83 ( hBOOL(c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a))
% 0.73/0.83 | hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_Collect__def_0,axiom,
% 0.73/0.83 c_Collect(V_P,T_a) = V_P ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_com_Osimps_I3_J_1,axiom,
% 0.73/0.83 ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H)
% 0.73/0.83 | V_com2 = V_com2_H ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_com_Osimps_I3_J_0,axiom,
% 0.73/0.83 ( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H)
% 0.73/0.83 | V_com1 = V_com1_H ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_Sup__insert_0,axiom,
% 0.73/0.83 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.73/0.83 | hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),c_Set_Oinsert(V_a,V_A,T_a)) = c_Lattices_Oupper__semilattice__class_Osup(V_a,hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),V_A),T_a) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_Compl__Diff__eq_0,axiom,
% 0.73/0.83 c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_UNION__empty__conv_I2_J_0,axiom,
% 0.73/0.83 ( 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))
% 0.73/0.83 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.73/0.83 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_DiffE_0,axiom,
% 0.73/0.83 ( hBOOL(c_in(V_c,V_A,T_a))
% 0.73/0.83 | ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_DiffE_1,axiom,
% 0.73/0.83 ( ~ hBOOL(c_in(V_c,V_B,T_a))
% 0.73/0.83 | ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_UN__subset__iff_0,axiom,
% 0.73/0.83 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(V_A,V_x)),V_B))
% 0.73/0.83 | ~ hBOOL(c_in(V_x,V_I,T_b))
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_b,tc_fun(T_a,tc_bool))),V_B)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_UN__absorb_0,axiom,
% 0.73/0.83 ( c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_A,V_k),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool)),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))
% 0.73/0.83 | ~ hBOOL(c_in(V_k,V_I,T_a)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_sup1E_0,axiom,
% 0.73/0.83 ( hBOOL(hAPP(V_B,V_x))
% 0.73/0.83 | hBOOL(hAPP(V_A,V_x))
% 0.73/0.83 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_sup1CI_0,axiom,
% 0.73/0.83 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.73/0.83 | ~ hBOOL(hAPP(V_B,V_x)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_sup1CI_1,axiom,
% 0.73/0.83 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.73/0.83 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_UnE_0,axiom,
% 0.73/0.83 ( hBOOL(c_in(V_c,V_B,T_a))
% 0.73/0.83 | hBOOL(c_in(V_c,V_A,T_a))
% 0.73/0.83 | ~ hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_ivl__disj__un_I17_J_0,axiom,
% 0.73/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.73/0.83 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a)
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_m),V_u))
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_m)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_UNION__empty__conv_I1_J_0,axiom,
% 0.73/0.83 ( 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))
% 0.73/0.83 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.73/0.83 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_UN__extend__simps_I2_J_0,axiom,
% 0.73/0.83 c_Lattices_Oupper__semilattice__class_Osup(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,tc_fun(T_a,tc_bool)) = V_B ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_UN__extend__simps_I3_J_0,axiom,
% 0.73/0.83 c_Lattices_Oupper__semilattice__class_Osup(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 ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_ivl__disj__un_I21_J_0,axiom,
% 0.73/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.73/0.83 | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_m,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a)
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_m),V_u))
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_l),V_m)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_compl__eq__compl__iff_0,axiom,
% 0.73/0.83 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.73/0.83 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a)
% 0.73/0.83 | V_x = V_y ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_neg__equal__iff__equal_0,axiom,
% 0.73/0.83 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.73/0.83 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 0.73/0.83 | V_a = V_b ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_Compl__eq__Compl__iff_0,axiom,
% 0.73/0.83 ( c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)) != c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool))
% 0.73/0.83 | V_A = V_B ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_bot__empty__eq_0,axiom,
% 0.73/0.83 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) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_UN__insert_0,axiom,
% 0.73/0.83 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(V_a,V_A,T_b),V_B,T_b,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_Inf__lower_0,axiom,
% 0.73/0.83 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.73/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(c_Complete__Lattice_OInf__class_OInf(T_a),V_A)),V_x))
% 0.73/0.83 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_fun__Compl__def_0,axiom,
% 0.73/0.83 ( ~ class_HOL_Ouminus(T_b)
% 0.73/0.83 | hAPP(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(t_a,T_b)),v_x) = c_HOL_Ouminus__class_Ouminus(hAPP(V_A,v_x),T_b) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_UnCI_0,axiom,
% 0.73/0.83 ( hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.73/0.83 | ~ hBOOL(c_in(V_c,V_B,T_a)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_UnCI_1,axiom,
% 0.73/0.83 ( hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.73/0.83 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_ivl__diff_0,axiom,
% 0.73/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.73/0.83 | c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(V_i,V_m,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_i,V_n,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(V_n,V_m,T_a)
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_i),V_n)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_UN__Un_0,axiom,
% 0.73/0.83 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),V_M,T_b,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(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)),tc_fun(T_a,tc_bool)) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_the__sym__eq__trivial_0,axiom,
% 0.73/0.83 c_The(hAPP(c_fequal(T_a),V_x),T_a) = V_x ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_Sup__upper_0,axiom,
% 0.73/0.83 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.73/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),V_A)))
% 0.73/0.83 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_atLeastLessThan__subset__iff_1,axiom,
% 0.73/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.73/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_d))
% 0.73/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_a))
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastLessThan(V_c,V_d,T_a))) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_bot__fun__eq_0,axiom,
% 0.73/0.83 ( ~ class_Orderings_Obot(T_b)
% 0.73/0.83 | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_Sup__empty_0,axiom,
% 0.73/0.83 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.73/0.83 | hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_singleton__conv2_0,axiom,
% 0.73/0.83 c_Collect(hAPP(c_fequal(T_a),V_a),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_singleton__iff_1,axiom,
% 0.73/0.83 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_complete__lattice_OInf__singleton_0,axiom,
% 0.73/0.83 ( hAPP(V_Inf,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_a
% 0.73/0.83 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_complete__lattice_OSup__singleton_0,axiom,
% 0.73/0.83 ( hAPP(V_Sup,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_a
% 0.73/0.83 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_Sup__singleton_0,axiom,
% 0.73/0.83 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.73/0.83 | hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_a ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_Nitpick_OEx1__def_2,axiom,
% 0.73/0.83 hBOOL(hAPP(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a))) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_UN__extend__simps_I1_J_0,axiom,
% 0.73/0.83 c_Set_Oinsert(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)),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_fold1Set__sing_1,axiom,
% 0.73/0.83 hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),V_x)) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_Min__singleton_0,axiom,
% 0.73/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.73/0.83 | c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_Nitpick_OThe__psimp_0,axiom,
% 0.73/0.83 c_The(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_x ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_complete__lattice_OInf__binary_0,axiom,
% 0.73/0.83 ( hAPP(V_Inf,c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) = hAPP(hAPP(V_inf,V_a),V_b)
% 0.73/0.83 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_complete__lattice_OSup__binary_0,axiom,
% 0.73/0.83 ( hAPP(V_Sup,c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) = hAPP(hAPP(V_sup,V_a),V_b)
% 0.73/0.83 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_Diff__insert2_0,axiom,
% 0.73/0.83 c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_Diff__insert_0,axiom,
% 0.73/0.83 c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_fold1Set__sing_0,axiom,
% 0.73/0.83 ( V_a = V_b
% 0.73/0.83 | ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),V_b)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_contents__eq_0,axiom,
% 0.73/0.83 c_Set_Ocontents(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_x ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_Nitpick_OEx1__def_3,axiom,
% 0.73/0.83 ( V_y = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.73/0.83 | ~ hBOOL(hAPP(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_y)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_singletonE_0,axiom,
% 0.73/0.83 ( V_b = V_a
% 0.73/0.83 | ~ hBOOL(c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_fold1__singleton_0,axiom,
% 0.73/0.83 c_Finite__Set_Ofold1(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_Max__singleton_0,axiom,
% 0.73/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.73/0.83 | c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_insert__Diff__single_0,axiom,
% 0.73/0.83 c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,V_A,T_a) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_atLeastAtMost__singleton_0,axiom,
% 0.73/0.83 ( ~ class_Orderings_Oorder(T_a)
% 0.73/0.83 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_a,T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
% 0.73/0.83 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.73/0.83 | hBOOL(c_in(V_x,V_xa,T_a)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_insert__is__Un_0,axiom,
% 0.73/0.83 c_Set_Oinsert(V_a,V_A,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_Inf__singleton_0,axiom,
% 0.73/0.83 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.73/0.83 | hAPP(c_Complete__Lattice_OInf__class_OInf(T_a),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_a ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_subset__Compl__self__eq_0,axiom,
% 0.73/0.83 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)))) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_subset__Compl__self__eq_1,axiom,
% 0.73/0.83 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)))) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_insert__subset_2,axiom,
% 0.73/0.83 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_x,V_A,T_a)),V_B))
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.73/0.83 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_insert__subset_0,axiom,
% 0.73/0.83 ( hBOOL(c_in(V_x,V_B,T_a))
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_x,V_A,T_a)),V_B)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_subset__insert__iff_2,axiom,
% 0.73/0.83 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.73/0.83 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_subset__insert__iff_1,axiom,
% 0.73/0.83 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.73/0.83 | hBOOL(c_in(V_x,V_A,T_a))
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_subset__insert_1,axiom,
% 0.73/0.83 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.73/0.83 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_subset__insert_0,axiom,
% 0.73/0.83 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))
% 0.73/0.83 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_conseq_1,axiom,
% 0.73/0.83 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 0.73/0.83 | 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)))
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(V_x,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(V_G,V_P,V_Q,V_c)))
% 0.73/0.83 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(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)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_conseq12_1,axiom,
% 0.73/0.83 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 0.73/0.83 | 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)))
% 0.73/0.83 | ~ 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)))
% 0.73/0.83 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(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)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_hoare__derivs_Ointros_I6_J_1,axiom,
% 0.73/0.83 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 0.73/0.83 | 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)))
% 0.73/0.83 | ~ 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)))
% 0.73/0.83 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(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)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_hoare__derivs_Ointros_I6_J_0,axiom,
% 0.73/0.83 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 0.73/0.83 | 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))) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_hoare__derivs_Ointros_I6_J_2,axiom,
% 0.73/0.83 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 0.73/0.83 | ~ 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)))
% 0.73/0.83 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(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)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_conseq_0,axiom,
% 0.73/0.83 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 0.73/0.83 | 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))) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_conseq2_0,axiom,
% 0.73/0.83 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 0.73/0.83 | hBOOL(hAPP(hAPP(V_Q_H,v_sko__Hoare__Mirabelle__Xconseq2__1(V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconseq2__2(V_Q,V_Q_H)))
% 0.73/0.83 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(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)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_conseq12_0,axiom,
% 0.73/0.83 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 0.73/0.83 | 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)))
% 0.73/0.83 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(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)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_conseq1_0,axiom,
% 0.73/0.83 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 0.73/0.83 | 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)))
% 0.73/0.83 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(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)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_conseq_2,axiom,
% 0.73/0.83 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 0.73/0.83 | ~ 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)))
% 0.73/0.83 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(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)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_conseq1_1,axiom,
% 0.73/0.83 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 0.73/0.83 | ~ 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)))
% 0.73/0.83 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(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)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_conseq12_2,axiom,
% 0.73/0.83 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 0.73/0.83 | ~ 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)))
% 0.73/0.83 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(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)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_conseq2_1,axiom,
% 0.73/0.83 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xconseq2__1(V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconseq2__2(V_Q,V_Q_H)))
% 0.73/0.83 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(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)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_escape_0,axiom,
% 0.73/0.83 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
% 0.73/0.83 | hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xescape__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xescape__2(V_G,V_P,V_Q,V_c))) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_subset__insert__iff_4,axiom,
% 0.73/0.83 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a)))
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool))),V_B)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_Comp_0,axiom,
% 0.73/0.83 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSemi(V_c,V_d),V_R,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 0.73/0.83 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_Q,V_d,V_R,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 0.73/0.83 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_linorder__linear_0,axiom,
% 0.73/0.83 ( ~ class_Orderings_Olinorder(T_a)
% 0.73/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 0.73/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_insert__mono_0,axiom,
% 0.73/0.83 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_C,T_a)),c_Set_Oinsert(V_a,V_D,T_a)))
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_D)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_hoare__derivs_Oinsert_0,axiom,
% 0.73/0.83 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,V_ts,tc_Hoare__Mirabelle_Otriple(T_a)),T_a)
% 0.73/0.83 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 0.73/0.83 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(V_t,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_subset__singletonD_0,axiom,
% 0.73/0.83 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 0.73/0.83 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_weaken_0,axiom,
% 0.73/0.83 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),V_ts),V_ts_H))
% 0.73/0.83 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts_H,T_a) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_rev__predicate1D_0,axiom,
% 0.73/0.83 ( hBOOL(hAPP(V_Q,V_x))
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_P),V_Q))
% 0.73/0.83 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_order__eq__refl_0,axiom,
% 0.73/0.83 ( ~ class_Orderings_Opreorder(T_a)
% 0.73/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_order__eq__iff_0,axiom,
% 0.73/0.83 ( ~ class_Orderings_Oorder(T_a)
% 0.73/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_predicate1D_0,axiom,
% 0.73/0.83 ( hBOOL(hAPP(V_Q,V_x))
% 0.73/0.83 | ~ hBOOL(hAPP(V_P,V_x))
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_P),V_Q)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_subset__trans_0,axiom,
% 0.73/0.83 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C))
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C))
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_subset__refl_0,axiom,
% 0.73/0.83 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_A)) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_equalityE_0,axiom,
% 0.73/0.83 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_x),V_x)) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_order__trans_0,axiom,
% 0.73/0.83 ( ~ class_Orderings_Opreorder(T_a)
% 0.73/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z))
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_z))
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_xt1_I6_J_0,axiom,
% 0.73/0.83 ( ~ class_Orderings_Oorder(T_a)
% 0.73/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),V_x))
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),V_y))
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_insert__code_1,axiom,
% 0.73/0.83 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_hoare__derivs_OSkip_0,axiom,
% 0.73/0.83 c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSKIP,V_P,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(T_a)),T_a) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_cut_0,axiom,
% 0.73/0.83 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 0.73/0.83 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_G_H,T_a)
% 0.73/0.83 | ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_empty__not__insert_0,axiom,
% 0.73/0.83 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_subset__empty_1,axiom,
% 0.73/0.83 hBOOL(hAPP(hAPP(c_lessequals(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)))) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_subset__empty_0,axiom,
% 0.73/0.83 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_triple_Oinject_2,axiom,
% 0.73/0.83 ( 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)
% 0.73/0.83 | V_fun2 = V_fun2_H ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_triple_Oinject_1,axiom,
% 0.73/0.83 ( 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)
% 0.73/0.83 | V_com = V_com_H ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_triple_Oinject_0,axiom,
% 0.73/0.83 ( 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)
% 0.73/0.83 | V_fun1 = V_fun1_H ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_doubleton__eq__iff_3,axiom,
% 0.73/0.83 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.73/0.83 | V_b = V_c
% 0.73/0.83 | V_b = V_d ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_doubleton__eq__iff_2,axiom,
% 0.73/0.83 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.73/0.83 | V_a = V_d
% 0.73/0.83 | V_b = V_d ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_doubleton__eq__iff_1,axiom,
% 0.73/0.83 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.73/0.83 | V_b = V_c
% 0.73/0.83 | V_a = V_c ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_doubleton__eq__iff_0,axiom,
% 0.73/0.83 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.73/0.83 | V_a = V_d
% 0.73/0.83 | V_a = V_c ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_order__antisym__conv_0,axiom,
% 0.73/0.83 ( ~ class_Orderings_Oorder(T_a)
% 0.73/0.83 | V_x = V_y
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_order__antisym_0,axiom,
% 0.73/0.83 ( ~ class_Orderings_Oorder(T_a)
% 0.73/0.83 | V_x = V_y
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_order__eq__iff_2,axiom,
% 0.73/0.83 ( ~ class_Orderings_Oorder(T_a)
% 0.73/0.83 | V_x = V_y
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_set__eq__subset_2,axiom,
% 0.73/0.83 ( V_A = V_B
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A))
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_equalityI_0,axiom,
% 0.73/0.83 ( V_A = V_B
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A))
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_bot1E_0,axiom,
% 0.73/0.83 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_empty_0,axiom,
% 0.73/0.83 c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_subset__insertI_0,axiom,
% 0.73/0.83 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),c_Set_Oinsert(V_a,V_B,T_a))) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_insert__code_0,axiom,
% 0.73/0.83 ( hBOOL(hAPP(V_A,V_x))
% 0.73/0.83 | V_y = V_x
% 0.73/0.83 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_insert__absorb2_0,axiom,
% 0.73/0.83 c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Set_Oinsert(V_x,V_A,T_a) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_insert__not__empty_0,axiom,
% 0.73/0.83 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_bot__least_0,axiom,
% 0.73/0.83 ( ~ class_Orderings_Obot(T_a)
% 0.73/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_empty__subsetI_0,axiom,
% 0.73/0.83 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_A)) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_subset__insertI2_0,axiom,
% 0.73/0.83 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_b,V_B,T_a)))
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_insert__subset_1,axiom,
% 0.73/0.83 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B))
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_x,V_A,T_a)),V_B)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_insert__commute_0,axiom,
% 0.73/0.83 c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a) = c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_doubleton__eq__iff_4,axiom,
% 0.73/0.83 c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_singleton__inject_0,axiom,
% 0.73/0.83 ( c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) != c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 0.73/0.83 | V_a = V_b ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_insert__code_2,axiom,
% 0.73/0.83 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
% 0.73/0.83 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_asm_0,axiom,
% 0.73/0.83 ( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),V_ts),V_G)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_le__funD_0,axiom,
% 0.73/0.83 ( ~ class_HOL_Oord(T_b)
% 0.73/0.83 | hBOOL(hAPP(hAPP(c_lessequals(T_b),hAPP(V_f,V_x)),hAPP(V_g,V_x)))
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,T_b)),V_f),V_g)) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_conjecture_0,negated_conjecture,
% 0.73/0.83 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),v_G),v_Ga)) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_conjecture_1,negated_conjecture,
% 0.73/0.83 ~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ).
% 0.73/0.83
% 0.73/0.83 cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 0.73/0.83 ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))
% 0.73/0.83 | ~ class_Complete__Lattice_Ocomplete__lattice(T_1) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 0.73/0.83 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 0.73/0.83 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
% 0.73/0.83 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))
% 0.73/0.83 | ~ class_Lattices_Obounded__lattice(T_1) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(clsarity_fun__Lattices_Oboolean__algebra,axiom,
% 0.73/0.83 ( class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1))
% 0.73/0.83 | ~ class_Lattices_Oboolean__algebra(T_1) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(clsarity_fun__Finite__Set_Ofinite_Ofinite,axiom,
% 0.73/0.83 ( class_Finite__Set_Ofinite_Ofinite(tc_fun(T_2,T_1))
% 0.73/0.83 | ~ class_Finite__Set_Ofinite_Ofinite(T_1)
% 0.73/0.83 | ~ class_Finite__Set_Ofinite_Ofinite(T_2) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 0.73/0.83 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 0.73/0.83 | ~ class_Orderings_Opreorder(T_1) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 0.73/0.83 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 0.73/0.83 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 0.73/0.83 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 0.73/0.83 | ~ class_Orderings_Oorder(T_1) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(clsarity_fun__Orderings_Obot,axiom,
% 0.73/0.83 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 0.73/0.83 | ~ class_Orderings_Obot(T_1) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(clsarity_fun__HOL_Ouminus,axiom,
% 0.73/0.83 ( class_HOL_Ouminus(tc_fun(T_2,T_1))
% 0.73/0.83 | ~ class_HOL_Ouminus(T_1) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(clsarity_fun__HOL_Ominus,axiom,
% 0.73/0.83 ( class_HOL_Ominus(tc_fun(T_2,T_1))
% 0.73/0.83 | ~ class_HOL_Ominus(T_1) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(clsarity_fun__HOL_Oord,axiom,
% 0.73/0.83 ( class_HOL_Oord(tc_fun(T_2,T_1))
% 0.73/0.83 | ~ class_HOL_Oord(T_1) ) ).
% 0.73/0.83
% 0.73/0.83 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
% 0.73/0.83 class_Lattices_Oupper__semilattice(tc_nat) ).
% 0.73/0.83
% 0.73/0.83 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.73/0.83 class_Orderings_Opreorder(tc_nat) ).
% 0.73/0.83
% 0.73/0.83 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.73/0.83 class_Orderings_Olinorder(tc_nat) ).
% 0.73/0.83
% 0.73/0.83 cnf(clsarity_nat__Lattices_Olattice,axiom,
% 0.73/0.83 class_Lattices_Olattice(tc_nat) ).
% 0.73/0.83
% 0.73/0.83 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.73/0.83 class_Orderings_Oorder(tc_nat) ).
% 0.73/0.83
% 0.73/0.83 cnf(clsarity_nat__Orderings_Obot,axiom,
% 0.73/0.83 class_Orderings_Obot(tc_nat) ).
% 0.73/0.83
% 0.73/0.83 cnf(clsarity_nat__HOL_Ominus,axiom,
% 0.73/0.83 class_HOL_Ominus(tc_nat) ).
% 0.73/0.83
% 0.73/0.83 cnf(clsarity_nat__HOL_Oord,axiom,
% 0.73/0.83 class_HOL_Oord(tc_nat) ).
% 0.73/0.83
% 0.73/0.83 cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom,
% 0.73/0.83 class_Complete__Lattice_Ocomplete__lattice(tc_bool) ).
% 0.73/0.83
% 0.73/0.83 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 0.73/0.83 class_Lattices_Oupper__semilattice(tc_bool) ).
% 0.73/0.83
% 0.73/0.83 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
% 0.73/0.83 class_Lattices_Obounded__lattice(tc_bool) ).
% 0.73/0.83
% 0.73/0.83 cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom,
% 0.73/0.83 class_Lattices_Oboolean__algebra(tc_bool) ).
% 0.73/0.83
% 0.73/0.83 cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom,
% 0.73/0.83 class_Finite__Set_Ofinite_Ofinite(tc_bool) ).
% 0.73/0.83
% 0.73/0.83 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 0.73/0.83 class_Orderings_Opreorder(tc_bool) ).
% 0.73/0.83
% 0.73/0.83 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 0.73/0.83 class_Lattices_Olattice(tc_bool) ).
% 0.73/0.83
% 0.73/0.83 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 0.73/0.83 class_Orderings_Oorder(tc_bool) ).
% 0.73/0.83
% 0.73/0.83 cnf(clsarity_bool__Orderings_Obot,axiom,
% 0.73/0.83 class_Orderings_Obot(tc_bool) ).
% 0.73/0.83
% 0.73/0.83 cnf(clsarity_bool__HOL_Ouminus,axiom,
% 0.73/0.83 class_HOL_Ouminus(tc_bool) ).
% 0.73/0.83
% 0.73/0.83 cnf(clsarity_bool__HOL_Ominus,axiom,
% 0.73/0.83 class_HOL_Ominus(tc_bool) ).
% 0.73/0.83
% 0.73/0.83 cnf(clsarity_bool__HOL_Oord,axiom,
% 0.73/0.83 class_HOL_Oord(tc_bool) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 0.73/0.83 hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ).
% 0.73/0.83
% 0.73/0.83 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 0.73/0.83 ( V_X = V_Y
% 0.73/0.83 | ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y)) ) ).
% 0.73/0.83
% 0.73/0.83 %------------------------------------------------------------------------------
% 0.73/0.83 %-------------------------------------------
% 0.73/0.83 % Proof found
% 0.73/0.83 % SZS status Theorem for theBenchmark
% 0.73/0.83 % SZS output start Proof
% 0.73/0.83 %ClaNum:626(EqnAxiom:175)
% 0.73/0.83 %VarNum:3649(SingletonVarNum:1318)
% 0.73/0.83 %MaxLitNum:6
% 0.73/0.83 %MaxfuncDepth:5
% 0.73/0.83 %SharedTerms:54
% 0.73/0.83 %goalClause: 217 274
% 0.73/0.83 %singleGoalClaCount:2
% 0.73/0.83 [176]P1(a1)
% 0.73/0.83 [177]P1(a32)
% 0.73/0.83 [178]P12(a32)
% 0.73/0.83 [179]P22(a1)
% 0.73/0.83 [180]P22(a32)
% 0.73/0.83 [181]P23(a1)
% 0.73/0.83 [182]P23(a32)
% 0.73/0.83 [183]P13(a1)
% 0.73/0.83 [184]P13(a32)
% 0.73/0.83 [185]P2(a1)
% 0.73/0.83 [186]P3(a1)
% 0.73/0.83 [187]P14(a1)
% 0.73/0.83 [188]P15(a1)
% 0.73/0.83 [189]P15(a32)
% 0.73/0.83 [190]P16(a1)
% 0.73/0.83 [191]P17(a1)
% 0.73/0.83 [192]P11(a1)
% 0.73/0.83 [193]P11(a32)
% 0.73/0.84 [194]P18(a1)
% 0.73/0.84 [195]P18(a32)
% 0.73/0.84 [208]E(f26(a34,f4(f33(a29,a1)),a29),f25(f4(f33(a29,a1)),a34))
% 0.73/0.84 [274]~P7(a37,f5(f25(f8(f2(f28(a29)),f28(a29),f28(a29),a1),f19(a38,a10,a38,a29)),f4(f33(f28(a29),a1)),f33(f28(a29),a1)),a29)
% 0.73/0.84 [217]P24(f25(f25(f27(f33(f28(a29),a1)),a35),a37))
% 0.73/0.84 [197]P4(f4(f33(x1971,a1)),x1971)
% 0.73/0.84 [264]~E(f11(x2641,x2642),a10)
% 0.73/0.84 [265]~P9(x2651,x2651,f33(x2652,a1))
% 0.73/0.84 [198]E(f5(x1981,x1981,f33(x1982,a1)),x1981)
% 0.73/0.84 [199]E(f6(x1991,x1991,f33(x1992,a1)),f4(f33(x1992,a1)))
% 0.73/0.84 [201]E(f18(f18(x2011,f33(x2012,a1)),f33(x2012,a1)),x2011)
% 0.73/0.84 [203]E(f6(x2031,f4(f33(x2032,a1)),f33(x2032,a1)),x2031)
% 0.73/0.84 [204]E(f5(x2041,f4(f33(x2042,a1)),f33(x2042,a1)),x2041)
% 0.73/0.84 [205]E(f5(f4(f33(x2051,a1)),x2052,f33(x2051,a1)),x2052)
% 0.73/0.84 [209]E(f6(f4(f33(x2091,a1)),x2092,f33(x2091,a1)),f4(f33(x2091,a1)))
% 0.73/0.84 [235]E(f5(f25(f8(f2(x2351),x2351,x2351,a1),x2352),f4(f33(x2351,a1)),f33(x2351,a1)),f25(f2(x2351),x2352))
% 0.73/0.84 [266]~P9(x2661,f4(f33(x2662,a1)),f33(x2662,a1))
% 0.73/0.84 [196]E(f3(f25(f2(x1961),x1962),x1961),x1962)
% 0.73/0.84 [200]P24(f25(f25(f2(x2001),x2002),x2002))
% 0.73/0.84 [206]P7(x2061,f4(f33(f28(x2062),a1)),x2062)
% 0.73/0.84 [238]E(f3(f5(f25(f8(f2(x2381),x2381,x2381,a1),x2382),f4(f33(x2381,a1)),f33(x2381,a1)),x2381),x2382)
% 0.73/0.84 [239]E(f21(f5(f25(f8(f2(x2391),x2391,x2391,a1),x2392),f4(f33(x2391,a1)),f33(x2391,a1)),x2391),x2392)
% 0.73/0.84 [267]~P24(f25(f4(f33(x2671,a1)),x2672))
% 0.73/0.84 [270]~P24(f26(x2701,f4(f33(x2702,a1)),x2702))
% 0.73/0.84 [212]P24(f25(f25(f27(f33(x2121,a1)),x2122),x2122))
% 0.73/0.84 [221]P24(f25(f25(f27(f33(x2211,a1)),f4(f33(x2211,a1))),x2212))
% 0.73/0.84 [233]E(f3(f25(f8(f2(x2331),x2331,x2331,a1),x2332),x2331),x2332)
% 0.73/0.84 [262]P24(f25(f5(f25(f8(f2(x2621),x2621,x2621,a1),x2622),f4(f33(x2621,a1)),f33(x2621,a1)),f20(f5(f25(f8(f2(x2621),x2621,x2621,a1),x2622),f4(f33(x2621,a1)),f33(x2621,a1)),x2621)))
% 0.73/0.84 [207]E(f5(x2071,x2072,f33(x2073,a1)),f5(x2072,x2071,f33(x2073,a1)))
% 0.73/0.84 [213]E(f5(x2131,f6(x2132,x2131,f33(x2133,a1)),f33(x2133,a1)),f5(x2131,x2132,f33(x2133,a1)))
% 0.73/0.84 [214]E(f5(x2141,f5(x2141,x2142,f33(x2143,a1)),f33(x2143,a1)),f5(x2141,x2142,f33(x2143,a1)))
% 0.73/0.84 [215]E(f6(f6(x2151,x2152,f33(x2153,a1)),x2152,f33(x2153,a1)),f6(x2151,x2152,f33(x2153,a1)))
% 0.73/0.84 [216]E(f5(f6(x2161,x2162,f33(x2163,a1)),x2162,f33(x2163,a1)),f5(x2161,x2162,f33(x2163,a1)))
% 0.73/0.84 [218]E(f5(f18(x2181,f33(x2182,a1)),x2183,f33(x2182,a1)),f18(f6(x2181,x2183,f33(x2182,a1)),f33(x2182,a1)))
% 0.73/0.84 [222]E(f9(f4(f33(x2221,a1)),f7(x2222,f33(x2223,a1),x2221),x2221,f33(x2223,a1)),f4(f33(x2223,a1)))
% 0.73/0.84 [223]E(f9(x2231,f7(f4(f33(x2232,a1)),f33(x2232,a1),x2233),x2233,f33(x2232,a1)),f4(f33(x2232,a1)))
% 0.73/0.84 [242]E(f5(f5(f25(f8(f2(x2421),x2421,x2421,a1),x2422),f4(f33(x2421,a1)),f33(x2421,a1)),x2423,f33(x2421,a1)),f5(f25(f8(f2(x2421),x2421,x2421,a1),x2422),x2423,f33(x2421,a1)))
% 0.73/0.84 [259]E(f5(f25(f8(f2(x2591),x2591,x2591,a1),x2592),f6(x2593,f5(f25(f8(f2(x2591),x2591,x2591,a1),x2592),f4(f33(x2591,a1)),f33(x2591,a1)),f33(x2591,a1)),f33(x2591,a1)),f5(f25(f8(f2(x2591),x2591,x2591,a1),x2592),x2593,f33(x2591,a1)))
% 0.73/0.84 [273]~E(f5(f25(f8(f2(x2731),x2731,x2731,a1),x2732),x2733,f33(x2731,a1)),f4(f33(x2731,a1)))
% 0.73/0.84 [224]P24(f25(f25(f27(f33(x2241,a1)),x2242),f5(x2243,x2242,f33(x2241,a1))))
% 0.73/0.84 [225]P24(f25(f25(f27(f33(x2251,a1)),x2252),f5(x2252,x2253,f33(x2251,a1))))
% 0.73/0.84 [246]P24(f25(f5(f25(f8(f2(x2461),x2461,x2461,a1),x2462),x2463,f33(x2461,a1)),x2462))
% 0.73/0.84 [249]P24(f26(x2491,f5(f25(f8(f2(x2492),x2492,x2492,a1),x2491),x2493,f33(x2492,a1)),x2492))
% 0.73/0.84 [250]P7(x2501,f5(f25(f8(f2(f28(x2502)),f28(x2502),f28(x2502),a1),f19(x2503,a10,x2503,x2502)),f4(f33(f28(x2502),a1)),f33(f28(x2502),a1)),x2502)
% 0.73/0.84 [232]P24(f25(f25(f27(f33(x2321,a1)),f6(x2322,x2323,f33(x2321,a1))),x2322))
% 0.73/0.84 [253]E(f3(f14(x2531,f5(f25(f8(f2(x2532),x2532,x2532,a1),x2533),f4(f33(x2532,a1)),f33(x2532,a1)),x2532),x2532),x2533)
% 0.73/0.84 [261]P24(f25(f14(x2611,f5(f25(f8(f2(x2612),x2612,x2612,a1),x2613),f4(f33(x2612,a1)),f33(x2612,a1)),x2612),x2613))
% 0.73/0.84 [271]~P24(f25(f14(x2711,f4(f33(x2712,a1)),x2712),x2713))
% 0.73/0.84 [202]E(f25(f7(x2021,x2022,x2023),x2024),x2021)
% 0.73/0.84 [219]E(f5(x2191,f5(x2192,x2193,f33(x2194,a1)),f33(x2194,a1)),f5(x2192,f5(x2191,x2193,f33(x2194,a1)),f33(x2194,a1)))
% 0.73/0.84 [220]E(f5(f5(x2201,x2202,f33(x2203,a1)),x2204,f33(x2203,a1)),f5(x2201,f5(x2202,x2204,f33(x2203,a1)),f33(x2203,a1)))
% 0.73/0.84 [227]E(f5(f6(x2271,x2272,f33(x2273,a1)),f6(x2274,x2272,f33(x2273,a1)),f33(x2273,a1)),f6(f5(x2271,x2274,f33(x2273,a1)),x2272,f33(x2273,a1)))
% 0.73/0.84 [228]E(f6(x2281,f9(f4(f33(x2282,a1)),x2283,x2282,f33(x2284,a1)),f33(x2284,a1)),x2281)
% 0.73/0.84 [229]E(f5(x2291,f9(f4(f33(x2292,a1)),x2293,x2292,f33(x2294,a1)),f33(x2294,a1)),x2291)
% 0.73/0.84 [230]E(f5(f9(f4(f33(x2301,a1)),x2302,x2301,f33(x2303,a1)),x2304,f33(x2303,a1)),x2304)
% 0.73/0.84 [240]E(f5(f25(f8(f2(x2401),x2401,x2401,a1),x2402),f9(f4(f33(x2403,a1)),x2404,x2403,f33(x2401,a1)),f33(x2401,a1)),f5(f25(f8(f2(x2401),x2401,x2401,a1),x2402),f4(f33(x2401,a1)),f33(x2401,a1)))
% 0.73/0.84 [254]E(f6(f6(x2541,x2542,f33(x2543,a1)),f5(f25(f8(f2(x2543),x2543,x2543,a1),x2544),f4(f33(x2543,a1)),f33(x2543,a1)),f33(x2543,a1)),f6(x2541,f5(f25(f8(f2(x2543),x2543,x2543,a1),x2544),x2542,f33(x2543,a1)),f33(x2543,a1)))
% 0.73/0.84 [255]P10(x2551,x2552,f4(f33(x2553,a1)),x2552,x2553,x2554)
% 0.73/0.84 [256]P8(x2561,x2562,f4(f33(x2563,a1)),x2562,x2563,x2564)
% 0.73/0.84 [260]E(f6(f6(x2601,f5(f25(f8(f2(x2602),x2602,x2602,a1),x2603),f4(f33(x2602,a1)),f33(x2602,a1)),f33(x2602,a1)),x2604,f33(x2602,a1)),f6(x2601,f5(f25(f8(f2(x2602),x2602,x2602,a1),x2603),x2604,f33(x2602,a1)),f33(x2602,a1)))
% 0.73/0.84 [236]E(f5(f9(x2361,x2362,x2363,f33(x2364,a1)),f9(x2365,x2362,x2363,f33(x2364,a1)),f33(x2364,a1)),f9(f5(x2361,x2365,f33(x2363,a1)),x2362,x2363,f33(x2364,a1)))
% 0.73/0.84 [241]E(f9(f5(f25(f8(f2(x2411),x2411,x2411,a1),x2412),x2413,f33(x2411,a1)),x2414,x2411,f33(x2415,a1)),f5(f25(x2414,x2412),f9(x2413,x2414,x2411,f33(x2415,a1)),f33(x2415,a1)))
% 0.73/0.84 [234]E(f25(f25(f8(x2341,x2342,x2343,x2344),x2345),x2346),f25(f25(x2341,x2346),x2345))
% 0.73/0.84 [392]~P3(x3921)+P5(f13(x3921),f12(x3921),f27(x3921),x3921)
% 0.73/0.84 [300]~P18(x3001)+E(f25(f4(f33(a29,x3001)),a34),f4(x3001))
% 0.73/0.84 [301]~P3(x3011)+E(f25(f12(x3011),f4(f33(x3011,a1))),f4(x3011))
% 0.73/0.84 [275]~P2(x2752)+P4(x2751,x2752)
% 0.73/0.84 [304]~P9(x3042,x3042,x3041)+~P12(x3041)
% 0.73/0.84 [305]~P9(x3052,x3052,x3051)+~P22(x3051)
% 0.73/0.84 [306]~P9(x3062,x3062,x3061)+~P23(x3061)
% 0.73/0.84 [276]~P1(x2762)+P1(f33(x2761,x2762))
% 0.73/0.84 [277]~P22(x2772)+P22(f33(x2771,x2772))
% 0.73/0.84 [278]~P23(x2782)+P23(f33(x2781,x2782))
% 0.73/0.84 [279]~P15(x2792)+P13(f33(x2791,x2792))
% 0.73/0.84 [280]~P3(x2802)+P3(f33(x2801,x2802))
% 0.73/0.84 [281]~P14(x2812)+P14(f33(x2811,x2812))
% 0.73/0.84 [282]~P15(x2822)+P15(f33(x2821,x2822))
% 0.73/0.84 [283]~P16(x2832)+P16(f33(x2831,x2832))
% 0.73/0.84 [284]~P17(x2842)+P17(f33(x2841,x2842))
% 0.73/0.84 [285]~P11(x2852)+P11(f33(x2851,x2852))
% 0.73/0.84 [286]~P18(x2862)+P18(f33(x2861,x2862))
% 0.73/0.84 [297]~P13(x2972)+E(f5(x2971,x2971,x2972),x2971)
% 0.73/0.84 [293]~P19(x2932)+E(f18(f18(x2931,x2932),x2932),x2931)
% 0.73/0.84 [294]~P17(x2942)+E(f18(f18(x2941,x2942),x2942),x2941)
% 0.73/0.84 [298]~P16(x2982)+E(f5(x2981,f4(x2982),x2982),x2981)
% 0.73/0.84 [299]~P16(x2991)+E(f5(f4(x2991),x2992,x2991),x2992)
% 0.73/0.84 [510]~P23(x5102)+E(f24(x5101,x5101,x5102),f5(f25(f8(f2(x5102),x5102,x5102,a1),x5101),f4(f33(x5102,a1)),f33(x5102,a1)))
% 0.73/0.84 [310]~P22(x3101)+P24(f25(f25(f27(x3101),x3102),x3102))
% 0.73/0.84 [311]~P23(x3111)+P24(f25(f25(f27(x3111),x3112),x3112))
% 0.73/0.84 [320]~P14(x3202)+E(f25(f18(x3201,f33(a29,x3202)),a34),f18(f25(x3201,a34),x3202))
% 0.73/0.84 [321]~P18(x3211)+P24(f25(f25(f27(x3211),f4(x3211)),x3212))
% 0.73/0.84 [460]E(x4601,f4(f33(x4602,a1)))+~P24(f25(f25(f27(f33(x4602,a1)),x4601),f4(f33(x4602,a1))))
% 0.73/0.84 [473]E(x4731,f4(f33(x4732,a1)))+~P24(f25(f25(f27(f33(x4732,a1)),x4731),f18(x4731,f33(x4732,a1))))
% 0.73/0.84 [536]~P12(x5361)+E(f15(f5(f25(f8(f2(x5361),x5361,x5361,a1),x5362),f4(f33(x5361,a1)),f33(x5361,a1)),x5361),x5362)
% 0.73/0.84 [537]~P12(x5371)+E(f16(f5(f25(f8(f2(x5371),x5371,x5371,a1),x5372),f4(f33(x5371,a1)),f33(x5371,a1)),x5371),x5372)
% 0.73/0.84 [538]~P3(x5381)+E(f25(f13(x5381),f5(f25(f8(f2(x5381),x5381,x5381,a1),x5382),f4(f33(x5381,a1)),f33(x5381,a1))),x5382)
% 0.73/0.84 [539]~P3(x5391)+E(f25(f12(x5391),f5(f25(f8(f2(x5391),x5391,x5391,a1),x5392),f4(f33(x5391,a1)),f33(x5391,a1))),x5392)
% 0.73/0.84 [312]~P13(x3123)+E(f5(x3121,x3122,x3123),f5(x3122,x3121,x3123))
% 0.73/0.84 [313]~P15(x3133)+E(f5(x3131,x3132,x3133),f5(x3132,x3131,x3133))
% 0.73/0.84 [327]~P24(f25(x3272,x3271))+P24(f26(x3271,x3272,x3273))
% 0.73/0.84 [351]P24(f25(x3511,x3512))+~P24(f26(x3512,x3511,x3513))
% 0.73/0.84 [302]~P24(f25(x3021,x3023))+~E(x3021,f4(f33(x3022,a1)))
% 0.73/0.84 [303]~P24(f25(x3032,x3033))+~E(f4(f33(x3031,a1)),x3032)
% 0.73/0.84 [314]E(x3141,x3142)+~E(f18(x3141,f33(x3143,a1)),f18(x3142,f33(x3143,a1)))
% 0.73/0.84 [340]~P20(x3403)+E(f18(f6(x3401,x3402,x3403),x3403),f6(x3402,x3401,x3403))
% 0.73/0.84 [341]~P4(x3411,x3413)+P4(f6(x3411,x3412,f33(x3413,a1)),x3413)
% 0.73/0.84 [342]E(x3421,f4(f33(x3422,a1)))+~E(f5(x3423,x3421,f33(x3422,a1)),f4(f33(x3422,a1)))
% 0.73/0.84 [343]E(x3431,f4(f33(x3432,a1)))+~E(f5(x3431,x3433,f33(x3432,a1)),f4(f33(x3432,a1)))
% 0.73/0.84 [366]~P13(x3663)+E(f5(x3661,f5(x3661,x3662,x3663),x3663),f5(x3661,x3662,x3663))
% 0.73/0.84 [367]~P15(x3673)+E(f5(x3671,f5(x3671,x3672,x3673),x3673),f5(x3671,x3672,x3673))
% 0.73/0.84 [393]P4(x3931,x3932)+~P4(f5(x3933,x3931,f33(x3932,a1)),x3932)
% 0.73/0.84 [394]P4(x3941,x3942)+~P4(f5(x3941,x3943,f33(x3942,a1)),x3942)
% 0.73/0.84 [405]~P13(x4051)+P24(f25(f25(f27(x4051),x4052),f5(x4053,x4052,x4051)))
% 0.73/0.84 [406]~P15(x4061)+P24(f25(f25(f27(x4061),x4062),f5(x4063,x4062,x4061)))
% 0.73/0.84 [407]~P13(x4071)+P24(f25(f25(f27(x4071),x4072),f5(x4072,x4073,x4071)))
% 0.73/0.84 [408]~P15(x4081)+P24(f25(f25(f27(x4081),x4082),f5(x4082,x4083,x4081)))
% 0.73/0.84 [512]~P24(f26(x5122,x5123,x5121))+E(f5(f25(f8(f2(x5121),x5121,x5121,a1),x5122),x5123,f33(x5121,a1)),x5123)
% 0.73/0.84 [534]~P4(x5343,x5341)+P4(f5(f25(f8(f2(x5341),x5341,x5341,a1),x5342),x5343,f33(x5341,a1)),x5341)
% 0.73/0.84 [547]E(x5471,x5472)+~E(f5(f25(f8(f2(x5473),x5473,x5473,a1),x5471),f4(f33(x5473,a1)),f33(x5473,a1)),f5(f25(f8(f2(x5473),x5473,x5473,a1),x5472),f4(f33(x5473,a1)),f33(x5473,a1)))
% 0.73/0.84 [556]P24(f26(x5562,x5563,x5561))+E(f6(f5(f25(f8(f2(x5561),x5561,x5561,a1),x5562),x5563,f33(x5561,a1)),f5(f25(f8(f2(x5561),x5561,x5561,a1),x5562),f4(f33(x5561,a1)),f33(x5561,a1)),f33(x5561,a1)),x5563)
% 0.73/0.84 [565]~P24(f26(x5652,x5653,x5651))+E(f5(f25(f8(f2(x5651),x5651,x5651,a1),x5652),f6(x5653,f5(f25(f8(f2(x5651),x5651,x5651,a1),x5652),f4(f33(x5651,a1)),f33(x5651,a1)),f33(x5651,a1)),f33(x5651,a1)),x5653)
% 0.73/0.84 [332]E(x3321,x3322)+~P24(f25(f25(f2(x3323),x3321),x3322))
% 0.73/0.84 [390]~P11(x3903)+E(f6(f25(x3901,a34),f25(x3902,a34),x3903),f25(f6(x3901,x3902,f33(a29,x3903)),a34))
% 0.73/0.84 [391]~P15(x3913)+E(f5(f25(x3911,a34),f25(x3912,a34),x3913),f25(f5(x3911,x3912,f33(a29,x3913)),a34))
% 0.73/0.84 [419]P24(f26(x4191,x4192,x4193))+P24(f26(x4191,f18(x4192,f33(x4193,a1)),x4193))
% 0.73/0.84 [455]~P24(f26(x4551,x4552,x4553))+~P24(f26(x4551,f18(x4552,f33(x4553,a1)),x4553))
% 0.73/0.84 [535]~P3(x5351)+E(f25(f12(x5351),f5(f25(f8(f2(x5351),x5351,x5351,a1),x5352),x5353,f33(x5351,a1))),f5(x5352,f25(f12(x5351),x5353),x5351))
% 0.73/0.84 [567]~P3(x5671)+E(f25(f12(x5671),f5(f25(f8(f2(x5671),x5671,x5671,a1),x5672),f5(f25(f8(f2(x5671),x5671,x5671,a1),x5673),f4(f33(x5671,a1)),f33(x5671,a1)),f33(x5671,a1))),f5(x5672,x5673,x5671))
% 0.73/0.84 [571]E(x5711,x5712)+~P24(f26(x5711,f5(f25(f8(f2(x5713),x5713,x5713,a1),x5712),f4(f33(x5713,a1)),f33(x5713,a1)),x5713))
% 0.73/0.84 [581]E(x5811,f20(f5(f25(f8(f2(x5812),x5812,x5812,a1),x5813),f4(f33(x5812,a1)),f33(x5812,a1)),x5812))+~P24(f25(f5(f25(f8(f2(x5812),x5812,x5812,a1),x5813),f4(f33(x5812,a1)),f33(x5812,a1)),x5811))
% 0.73/0.84 [426]~P9(x4262,x4263,f33(x4261,a1))+P24(f25(f25(f27(f33(x4261,a1)),x4262),x4263))
% 0.73/0.84 [427]~E(f5(x4272,x4273,f33(x4271,a1)),x4273)+P24(f25(f25(f27(f33(x4271,a1)),x4272),x4273))
% 0.73/0.84 [447]E(f5(x4471,x4472,f33(x4473,a1)),x4472)+~P24(f25(f25(f27(f33(x4473,a1)),x4471),x4472))
% 0.73/0.84 [448]E(f5(x4481,x4482,f33(x4483,a1)),x4481)+~P24(f25(f25(f27(f33(x4483,a1)),x4482),x4481))
% 0.73/0.84 [466]E(f5(x4661,f6(x4662,x4661,f33(x4663,a1)),f33(x4663,a1)),x4662)+~P24(f25(f25(f27(f33(x4663,a1)),x4661),x4662))
% 0.73/0.84 [508]P24(f25(f25(f27(f33(x5081,a1)),f18(x5082,f33(x5081,a1))),f18(x5083,f33(x5081,a1))))+~P24(f25(f25(f27(f33(x5081,a1)),x5083),x5082))
% 0.73/0.84 [516]~P24(f25(f25(f27(f33(x5161,a1)),f18(x5163,f33(x5161,a1))),f18(x5162,f33(x5161,a1))))+P24(f25(f25(f27(f33(x5161,a1)),x5162),x5163))
% 0.73/0.84 [463]P7(x4631,x4632,x4633)+~P24(f25(f25(f27(f33(f28(x4633),a1)),x4632),x4631))
% 0.73/0.84 [288]E(x2881,x2882)+~E(f11(x2883,x2881),f11(x2884,x2882))
% 0.73/0.84 [289]E(x2891,x2892)+~E(f11(x2891,x2893),f11(x2892,x2894))
% 0.73/0.84 [409]~P13(x4094)+E(f5(x4091,f5(x4092,x4093,x4094),x4094),f5(x4092,f5(x4091,x4093,x4094),x4094))
% 0.73/0.84 [410]~P15(x4104)+E(f5(x4101,f5(x4102,x4103,x4104),x4104),f5(x4102,f5(x4101,x4103,x4104),x4104))
% 0.73/0.84 [411]~P13(x4113)+E(f5(f5(x4111,x4112,x4113),x4114,x4113),f5(x4111,f5(x4112,x4114,x4113),x4113))
% 0.73/0.84 [412]~P15(x4123)+E(f5(f5(x4121,x4122,x4123),x4124,x4123),f5(x4121,f5(x4122,x4124,x4123),x4123))
% 0.73/0.84 [436]E(f9(x4361,f7(x4363,f33(x4364,a1),x4362),x4362,f33(x4364,a1)),x4363)+E(x4361,f4(f33(x4362,a1)))
% 0.73/0.84 [540]~P24(f26(x5402,x5404,x5401))+E(f6(f5(f25(f8(f2(x5401),x5401,x5401,a1),x5402),x5403,f33(x5401,a1)),x5404,f33(x5401,a1)),f6(x5403,x5404,f33(x5401,a1)))
% 0.73/0.84 [548]P24(f26(x5482,x5484,x5481))+E(f6(f5(f25(f8(f2(x5481),x5481,x5481,a1),x5482),x5483,f33(x5481,a1)),x5484,f33(x5481,a1)),f5(f25(f8(f2(x5481),x5481,x5481,a1),x5482),f6(x5483,x5484,f33(x5481,a1)),f33(x5481,a1)))
% 0.73/0.84 [557]~P4(f6(x5571,x5574,f33(x5572,a1)),x5572)+P4(f6(x5571,f5(f25(f8(f2(x5572),x5572,x5572,a1),x5573),x5574,f33(x5572,a1)),f33(x5572,a1)),x5572)
% 0.73/0.84 [570]~P4(f6(x5701,f5(f25(f8(f2(x5703),x5703,x5703,a1),x5704),x5702,f33(x5703,a1)),f33(x5703,a1)),x5703)+P4(f6(x5701,x5702,f33(x5703,a1)),x5703)
% 0.73/0.84 [421]~P24(f25(x4212,x4214))+P24(f25(f5(x4211,x4212,f33(x4213,a1)),x4214))
% 0.73/0.84 [422]~P24(f25(x4221,x4224))+P24(f25(f5(x4221,x4222,f33(x4223,a1)),x4224))
% 0.73/0.84 [457]~P24(f26(x4571,x4573,x4574))+P24(f26(x4571,f5(x4572,x4573,f33(x4574,a1)),x4574))
% 0.73/0.84 [458]~P24(f26(x4581,x4582,x4584))+P24(f26(x4581,f5(x4582,x4583,f33(x4584,a1)),x4584))
% 0.73/0.84 [483]P24(f26(x4831,x4832,x4833))+~P24(f26(x4831,f6(x4832,x4834,f33(x4833,a1)),x4833))
% 0.73/0.84 [489]~P24(f26(x4891,x4892,x4893))+~P24(f26(x4891,f6(x4894,x4892,f33(x4893,a1)),x4893))
% 0.73/0.84 [561]P24(f26(x5614,x5612,x5613))+E(f17(x5611,f6(x5612,f5(f25(f8(f2(x5613),x5613,x5613,a1),x5614),f4(f33(x5613,a1)),f33(x5613,a1)),f33(x5613,a1)),x5613,a32),f17(x5611,x5612,x5613,a32))
% 0.73/0.84 [572]P7(x5722,f5(f25(f8(f2(f28(a29)),f28(a29),f28(a29),a1),f19(x5721,x5724,x5723,a29)),f4(f33(f28(a29),a1)),f33(f28(a29),a1)),a29)+P24(f25(f25(x5721,f39(x5722,x5721,x5723,x5724)),f47(x5722,x5721,x5723,x5724)))
% 0.73/0.84 [573]P7(x5732,f5(f25(f8(f2(f28(a29)),f28(a29),f28(a29),a1),f19(x5731,x5734,x5733,a29)),f4(f33(f28(a29),a1)),f33(f28(a29),a1)),a29)+P24(f25(f25(x5731,f48(x5732,x5731,x5733,x5734)),f52(x5732,x5731,x5733,x5734)))
% 0.73/0.84 [574]P7(x5742,f5(f25(f8(f2(f28(a29)),f28(a29),f28(a29),a1),f19(x5741,x5744,x5743,a29)),f4(f33(f28(a29),a1)),f33(f28(a29),a1)),a29)+P24(f25(f25(x5741,f49(x5742,x5741,x5743,x5744)),f50(x5742,x5741,x5743,x5744)))
% 0.73/0.84 [615]P7(x6151,f5(f25(f8(f2(f28(a29)),f28(a29),f28(a29),a1),f19(x6152,x6153,x6154,a29)),f4(f33(f28(a29),a1)),f33(f28(a29),a1)),a29)+~P7(x6151,f5(f25(f8(f2(f28(a29)),f28(a29),f28(a29),a1),f19(f7(f25(f8(f2(a31),a31,a31,a1),f47(x6151,x6152,x6154,x6153)),f33(a31,a1),a29),x6153,f7(f25(x6154,f39(x6151,x6152,x6154,x6153)),f33(a31,a1),a29),a29)),f4(f33(f28(a29),a1)),f33(f28(a29),a1)),a29)
% 0.73/0.84 [522]P24(f25(f25(f27(f33(x5221,a1)),x5222),x5223))+~P24(f25(f25(f27(f33(x5221,a1)),f5(x5224,x5222,f33(x5221,a1))),x5223))
% 0.73/0.84 [523]P24(f25(f25(f27(f33(x5231,a1)),x5232),x5233))+~P24(f25(f25(f27(f33(x5231,a1)),f5(x5232,x5234,f33(x5231,a1))),x5233))
% 0.73/0.84 [528]~P24(f25(f25(f27(f33(x5281,a1)),x5282),f5(x5283,x5284,f33(x5281,a1))))+P24(f25(f25(f27(f33(x5281,a1)),f6(x5282,x5283,f33(x5281,a1))),x5284))
% 0.73/0.84 [531]P24(f25(f25(f27(f33(x5311,a1)),x5312),f5(x5313,x5314,f33(x5311,a1))))+~P24(f25(f25(f27(f33(x5311,a1)),f6(x5312,x5313,f33(x5311,a1))),x5314))
% 0.73/0.84 [558]P24(f25(f25(f27(f33(x5581,a1)),x5582),f5(f25(f8(f2(x5581),x5581,x5581,a1),x5583),x5584,f33(x5581,a1))))+~P24(f25(f25(f27(f33(x5581,a1)),x5582),x5584))
% 0.73/0.84 [595]P24(f25(f25(f27(f33(x5951,a1)),f5(f25(f8(f2(x5951),x5951,x5951,a1),x5952),x5953,f33(x5951,a1))),f5(f25(f8(f2(x5951),x5951,x5951,a1),x5952),x5954,f33(x5951,a1))))+~P24(f25(f25(f27(f33(x5951,a1)),x5953),x5954))
% 0.73/0.84 [597]P24(f26(x5971,x5972,x5973))+~P24(f25(f25(f27(f33(x5973,a1)),f5(f25(f8(f2(x5973),x5973,x5973,a1),x5971),x5974,f33(x5973,a1))),x5972))
% 0.73/0.84 [600]E(x6001,x6002)+~P24(f25(f14(x6003,f5(f25(f8(f2(x6004),x6004,x6004,a1),x6001),f4(f33(x6004,a1)),f33(x6004,a1)),x6004),x6002))
% 0.73/0.84 [504]~P24(f26(x5042,x5043,x5044))+E(f5(f25(x5041,x5042),f9(x5043,x5041,x5044,f33(x5045,a1)),f33(x5045,a1)),f9(x5043,x5041,x5044,f33(x5045,a1)))
% 0.73/0.84 [580]E(x5801,x5802)+~P8(x5803,x5802,f4(f33(x5804,a1)),x5801,x5804,x5805)
% 0.73/0.84 [519]~P24(f26(x5193,x5194,x5195))+P24(f25(f25(f27(f33(x5191,a1)),f25(x5192,x5193)),f9(x5194,x5192,x5195,f33(x5191,a1))))
% 0.73/0.84 [579]P4(x5791,x5792)+~P8(x5793,x5794,x5791,x5795,x5792,x5796)
% 0.73/0.84 [486]E(x4861,x4862)+~E(f19(x4863,x4864,x4861,x4865),f19(x4866,x4867,x4862,x4865))
% 0.73/0.84 [487]E(x4871,x4872)+~E(f19(x4873,x4871,x4874,x4875),f19(x4876,x4872,x4877,x4875))
% 0.73/0.84 [488]E(x4881,x4882)+~E(f19(x4881,x4883,x4884,x4885),f19(x4882,x4886,x4887,x4885))
% 0.73/0.84 [626]~P6(x6262,x6261,x6263,x6265,x6267,x6266,x6269,x6268,x6264)+P6(x6261,x6262,f8(x6263,x6264,x6264,a1),f8(x6265,x6264,x6264,a1),x6266,x6267,x6268,x6269,x6264)
% 0.73/0.84 [616]~P6(x6164,x6161,x6165,x6166,x6167,x6168,x6163,x6169,x6162)+E(f25(x6161,f4(f33(x6162,a1))),x6163)
% 0.73/0.84 [617]~P6(x6171,x6174,x6175,x6176,x6177,x6178,x6179,x6173,x6172)+E(f25(x6171,f4(f33(x6172,a1))),x6173)
% 0.73/0.84 [622]~P6(x6224,x6221,x6225,x6226,x6227,x6228,x6229,x62210,x6222)+E(f25(x6221,f5(f25(f8(f2(x6222),x6222,x6222,a1),x6223),f4(f33(x6222,a1)),f33(x6222,a1))),x6223)
% 0.73/0.84 [623]~P6(x6231,x6234,x6235,x6236,x6237,x6238,x6239,x62310,x6232)+E(f25(x6231,f5(f25(f8(f2(x6232),x6232,x6232,a1),x6233),f4(f33(x6232,a1)),f33(x6232,a1))),x6233)
% 0.73/0.84 [620]~P6(x6206,x6201,x6207,x6208,x6209,x6205,x62010,x62011,x6202)+E(f25(x6201,f5(f25(f8(f2(x6202),x6202,x6202,a1),x6203),x6204,f33(x6202,a1))),f25(f25(x6205,x6203),f25(x6201,x6204)))
% 0.73/0.84 [621]~P6(x6211,x6216,x6217,x6218,x6215,x6219,x62110,x62111,x6212)+E(f25(x6211,f5(f25(f8(f2(x6212),x6212,x6212,a1),x6213),x6214,f33(x6212,a1))),f25(f25(x6215,x6213),f25(x6211,x6214)))
% 0.73/0.84 [624]~P6(x6246,x6241,x6247,x6248,x6249,x6245,x62410,x62411,x6242)+E(f25(x6241,f5(f25(f8(f2(x6242),x6242,x6242,a1),x6243),f5(f25(f8(f2(x6242),x6242,x6242,a1),x6244),f4(f33(x6242,a1)),f33(x6242,a1)),f33(x6242,a1))),f25(f25(x6245,x6243),x6244))
% 0.73/0.84 [625]~P6(x6251,x6256,x6257,x6258,x6255,x6259,x62510,x62511,x6252)+E(f25(x6251,f5(f25(f8(f2(x6252),x6252,x6252,a1),x6253),f5(f25(f8(f2(x6252),x6252,x6252,a1),x6254),f4(f33(x6252,a1)),f33(x6252,a1)),f33(x6252,a1))),f25(f25(x6255,x6253),x6254))
% 0.73/0.84 [287]~P2(x2872)+~P2(x2871)+P2(f33(x2871,x2872))
% 0.73/0.84 [334]~P9(x3343,x3342,x3341)+~P12(x3341)+~P9(x3342,x3343,x3341)
% 0.73/0.84 [336]~P9(x3363,x3362,x3361)+~P22(x3361)+~P9(x3362,x3363,x3361)
% 0.73/0.84 [337]~P9(x3373,x3372,x3371)+~P23(x3371)+~P9(x3372,x3373,x3371)
% 0.73/0.84 [295]~P19(x2953)+E(x2951,x2952)+~E(f18(x2951,x2953),f18(x2952,x2953))
% 0.73/0.84 [296]~P17(x2963)+E(x2961,x2962)+~E(f18(x2961,x2963),f18(x2962,x2963))
% 0.73/0.84 [307]~P16(x3072)+~E(f5(x3073,x3071,x3072),f4(x3072))+E(x3071,f4(x3072))
% 0.73/0.84 [308]~P16(x3082)+~E(f5(x3081,x3083,x3082),f4(x3082))+E(x3081,f4(x3082))
% 0.73/0.84 [348]~P21(x3482)+~P9(x3483,x3481,x3482)+P9(f18(x3481,x3482),f18(x3483,x3482),x3482)
% 0.73/0.84 [356]~P21(x3563)+~P9(x3562,f18(x3561,x3563),x3563)+P9(x3561,f18(x3562,x3563),x3563)
% 0.73/0.84 [358]~P21(x3582)+~P9(f18(x3583,x3582),x3581,x3582)+P9(f18(x3581,x3582),x3583,x3582)
% 0.73/0.84 [369]~P21(x3693)+P9(x3691,x3692,x3693)+~P9(f18(x3692,x3693),f18(x3691,x3693),x3693)
% 0.73/0.84 [322]P9(x3221,x3222,x3223)+~P23(x3223)+E(f22(x3221,x3222,x3223),f4(f33(x3223,a1)))
% 0.73/0.84 [323]P9(x3231,x3232,x3233)+~P23(x3233)+E(f23(x3231,x3232,x3233),f4(f33(x3233,a1)))
% 0.73/0.84 [324]P9(x3242,x3243,x3241)+~P23(x3241)+E(f4(f33(x3241,a1)),f22(x3242,x3243,x3241))
% 0.73/0.84 [325]P9(x3252,x3253,x3251)+~P23(x3251)+E(f4(f33(x3251,a1)),f23(x3252,x3253,x3251))
% 0.73/0.84 [333]~P23(x3333)+~P9(x3332,x3331,x3333)+E(f24(x3331,x3332,x3333),f4(f33(x3333,a1)))
% 0.73/0.84 [354]~P4(x3542,x3543)+~P4(x3541,x3543)+P4(f5(x3541,x3542,f33(x3543,a1)),x3543)
% 0.73/0.84 [362]~P23(x3623)+~P9(x3621,x3622,x3623)+~E(f22(x3621,x3622,x3623),f4(f33(x3623,a1)))
% 0.73/0.84 [363]~P23(x3633)+~P9(x3631,x3632,x3633)+~E(f23(x3631,x3632,x3633),f4(f33(x3633,a1)))
% 0.73/0.84 [364]~P23(x3641)+~P9(x3642,x3643,x3641)+~E(f4(f33(x3641,a1)),f22(x3642,x3643,x3641))
% 0.73/0.84 [365]~P23(x3651)+~P9(x3652,x3653,x3651)+~E(f4(f33(x3651,a1)),f23(x3652,x3653,x3651))
% 0.73/0.84 [395]P4(x3951,x3952)+~P4(x3953,x3952)+~P4(f6(x3951,x3953,f33(x3952,a1)),x3952)
% 0.73/0.84 [429]~P21(x4291)+~P24(f25(f25(f27(x4291),x4293),f18(x4292,x4291)))+P24(f25(f25(f27(x4291),x4292),f18(x4293,x4291)))
% 0.73/0.84 [330]~P12(x3303)+P9(x3301,x3302,x3303)+P24(f25(f25(f27(x3303),x3302),x3301))
% 0.73/0.84 [344]~P23(x3443)+E(f24(x3441,x3442,x3443),f4(f33(x3443,a1)))+P24(f25(f25(f27(x3443),x3441),x3442))
% 0.73/0.84 [345]~P23(x3451)+E(f4(f33(x3451,a1)),f24(x3452,x3453,x3451))+P24(f25(f25(f27(x3451),x3452),x3453))
% 0.73/0.84 [346]~P22(x3461)+~P9(x3462,x3463,x3461)+P24(f25(f25(f27(x3461),x3462),x3463))
% 0.73/0.84 [347]~P23(x3471)+~P9(x3472,x3473,x3471)+P24(f25(f25(f27(x3471),x3472),x3473))
% 0.73/0.84 [349]~P13(x3491)+~E(f5(x3492,x3493,x3491),x3493)+P24(f25(f25(f27(x3491),x3492),x3493))
% 0.73/0.84 [359]~P12(x3591)+P24(f25(f25(f27(x3591),x3593),x3592))+P24(f25(f25(f27(x3591),x3592),x3593))
% 0.73/0.84 [370]~P13(x3703)+E(f5(x3701,x3702,x3703),x3702)+~P24(f25(f25(f27(x3703),x3701),x3702))
% 0.73/0.84 [371]~P13(x3713)+E(f5(x3711,x3712,x3713),x3711)+~P24(f25(f25(f27(x3713),x3712),x3711))
% 0.73/0.84 [384]~P23(x3843)+E(f22(x3841,x3842,x3843),f4(f33(x3843,a1)))+~P24(f25(f25(f27(x3843),x3842),x3841))
% 0.73/0.84 [385]~P23(x3853)+E(f23(x3851,x3852,x3853),f4(f33(x3853,a1)))+~P24(f25(f25(f27(x3853),x3852),x3851))
% 0.73/0.84 [387]~P12(x3871)+~P9(x3872,x3873,x3871)+~P24(f25(f25(f27(x3871),x3873),x3872))
% 0.73/0.84 [389]~P22(x3891)+~P9(x3892,x3893,x3891)+~P24(f25(f25(f27(x3891),x3893),x3892))
% 0.73/0.84 [396]~P23(x3963)+~E(f24(x3961,x3962,x3963),f4(f33(x3963,a1)))+~P24(f25(f25(f27(x3963),x3961),x3962))
% 0.73/0.84 [397]~P23(x3971)+~E(f4(f33(x3971,a1)),f24(x3972,x3973,x3971))+~P24(f25(f25(f27(x3971),x3972),x3973))
% 0.73/0.84 [418]~P3(x4181)+~P24(f26(x4182,x4183,x4181))+P24(f25(f25(f27(x4181),x4182),f25(f12(x4181),x4183)))
% 0.73/0.84 [431]~P21(x4311)+P24(f25(f25(f27(x4311),f18(x4312,x4311)),f18(x4313,x4311)))+~P24(f25(f25(f27(x4311),x4313),x4312))
% 0.73/0.84 [444]~P21(x4441)+~P24(f25(f25(f27(x4441),f18(x4443,x4441)),f18(x4442,x4441)))+P24(f25(f25(f27(x4441),x4442),x4443))
% 0.73/0.84 [452]~P21(x4521)+~P24(f25(f25(f27(x4521),f18(x4523,x4521)),x4522))+P24(f25(f25(f27(x4521),f18(x4522,x4521)),x4523))
% 0.73/0.84 [542]~P12(x5423)+E(f5(f23(x5421,x5422,x5423),f5(f25(f8(f2(x5423),x5423,x5423,a1),x5422),f4(f33(x5423,a1)),f33(x5423,a1)),f33(x5423,a1)),f24(x5421,x5422,x5423))+~P24(f25(f25(f27(x5423),x5421),x5422))
% 0.73/0.84 [543]~P12(x5431)+E(f5(f5(f25(f8(f2(x5431),x5431,x5431,a1),x5432),f4(f33(x5431,a1)),f33(x5431,a1)),f22(x5432,x5433,x5431),f33(x5431,a1)),f24(x5432,x5433,x5431))+~P24(f25(f25(f27(x5431),x5432),x5433))
% 0.73/0.84 [578]E(x5781,f5(f25(f8(f2(x5782),x5782,x5782,a1),x5783),f4(f33(x5782,a1)),f33(x5782,a1)))+E(x5781,f4(f33(x5782,a1)))+~P24(f25(f25(f27(f33(x5782,a1)),x5781),f5(f25(f8(f2(x5782),x5782,x5782,a1),x5783),f4(f33(x5782,a1)),f33(x5782,a1))))
% 0.73/0.84 [432]~P3(x4321)+~P24(f26(x4323,x4322,x4321))+P24(f25(f25(f27(x4321),f25(f13(x4321),x4322)),x4323))
% 0.73/0.84 [440]P4(x4401,x4402)+~P4(x4403,x4402)+~P24(f25(f25(f27(f33(x4402,a1)),x4401),x4403))
% 0.73/0.84 [450]E(x4501,x4502)+P9(x4501,x4502,f33(x4503,a1))+~P24(f25(f25(f27(f33(x4503,a1)),x4501),x4502))
% 0.73/0.84 [498]E(x4981,x4982)+~P24(f25(f25(f27(f33(x4983,a1)),x4982),x4981))+~P24(f25(f25(f27(f33(x4983,a1)),x4981),x4982))
% 0.73/0.84 [368]~P7(x3681,x3684,x3683)+P7(x3681,x3682,x3683)+~P7(x3684,x3682,x3683)
% 0.73/0.84 [338]~P20(x3384)+E(x3381,x3382)+~E(f6(x3383,x3383,x3384),f6(x3381,x3382,x3384))
% 0.73/0.84 [339]~P20(x3393)+E(x3391,x3392)+~E(f6(x3391,x3392,x3393),f6(x3394,x3394,x3393))
% 0.73/0.84 [382]~P13(x3824)+~P9(x3821,x3823,x3824)+P9(x3821,f5(x3822,x3823,x3824),x3824)
% 0.73/0.84 [383]~P13(x3834)+~P9(x3831,x3832,x3834)+P9(x3831,f5(x3832,x3833,x3834),x3834)
% 0.73/0.84 [404]~P9(x4041,x4044,f33(x4043,a1))+~P9(x4044,x4042,f33(x4043,a1))+P9(x4041,x4042,f33(x4043,a1))
% 0.73/0.84 [425]~P9(x4254,x4252,f33(x4253,a1))+P24(f26(x4251,x4252,x4253))+~P24(f26(x4251,x4254,x4253))
% 0.73/0.84 [424]~P3(x4244)+E(f9(x4241,f7(x4243,x4244,x4242),x4242,x4244),x4243)+E(x4241,f4(f33(x4242,a1)))
% 0.73/0.84 [541]~P9(x5411,x5414,f33(x5412,a1))+P9(x5411,f5(f25(f8(f2(x5412),x5412,x5412,a1),x5413),x5414,f33(x5412,a1)),f33(x5412,a1))+~P24(f26(x5413,x5414,x5412))
% 0.73/0.84 [550]P9(x5501,x5502,f33(x5503,a1))+~P9(x5501,f5(f25(f8(f2(x5503),x5503,x5503,a1),x5504),x5502,f33(x5503,a1)),f33(x5503,a1))+~P24(f26(x5504,x5502,x5503))
% 0.73/0.84 [441]~P13(x4411)+P24(f25(f25(f27(x4411),x4412),f5(x4413,x4414,x4411)))+~P24(f25(f25(f27(x4411),x4412),x4414))
% 0.73/0.84 [442]~P13(x4421)+P24(f25(f25(f27(x4421),x4422),f5(x4423,x4424,x4421)))+~P24(f25(f25(f27(x4421),x4422),x4423))
% 0.73/0.84 [443]~P12(x4433)+E(f6(f23(x4431,x4432,x4433),f23(x4431,x4434,x4433),f33(x4433,a1)),f23(x4434,x4432,x4433))+~P24(f25(f25(f27(x4433),x4431),x4434))
% 0.73/0.84 [456]P24(f25(x4561,x4562))+P24(f25(x4563,x4562))+~P24(f25(f5(x4561,x4563,f33(x4564,a1)),x4562))
% 0.73/0.84 [472]~P24(f26(x4721,x4724,x4723))+P24(f26(x4721,x4722,x4723))+P24(f26(x4721,f6(x4724,x4722,f33(x4723,a1)),x4723))
% 0.73/0.84 [493]P24(f26(x4931,x4932,x4933))+P24(f26(x4931,x4934,x4933))+~P24(f26(x4931,f5(x4932,x4934,f33(x4933,a1)),x4933))
% 0.73/0.84 [500]~P13(x5001)+~P24(f25(f25(f27(x5001),f5(x5004,x5002,x5001)),x5003))+P24(f25(f25(f27(x5001),x5002),x5003))
% 0.73/0.84 [502]~P13(x5021)+~P24(f25(f25(f27(x5021),f5(x5022,x5024,x5021)),x5023))+P24(f25(f25(f27(x5021),x5022),x5023))
% 0.73/0.84 [566]~P7(x5661,x5664,x5662)+~P7(x5661,f5(f25(f8(f2(f28(x5662)),f28(x5662),f28(x5662),a1),x5663),f4(f33(f28(x5662),a1)),f33(f28(x5662),a1)),x5662)+P7(x5661,f5(f25(f8(f2(f28(x5662)),f28(x5662),f28(x5662),a1),x5663),x5664,f33(f28(x5662),a1)),x5662)
% 0.73/0.84 [568]E(x5681,x5682)+P24(f25(x5683,x5681))+~P24(f25(f5(f25(f8(f2(x5684),x5684,x5684,a1),x5682),x5683,f33(x5684,a1)),x5681))
% 0.73/0.84 [569]E(x5691,x5692)+P24(f26(x5691,x5693,x5694))+~P24(f26(x5691,f5(f25(f8(f2(x5694),x5694,x5694,a1),x5692),x5693,f33(x5694,a1)),x5694))
% 0.73/0.84 [433]~P1(x4332)+~P9(x4333,x4334,f33(x4331,x4332))+P24(f25(f25(f27(f33(x4331,x4332)),x4333),x4334))
% 0.73/0.84 [446]P24(f25(x4461,x4462))+~P24(f25(x4463,x4462))+~P24(f25(f25(f27(f33(x4464,a1)),x4463),x4461))
% 0.73/0.84 [459]~P1(x4591)+~P9(x4592,x4593,f33(x4594,x4591))+~P24(f25(f25(f27(f33(x4594,x4591)),x4593),x4592))
% 0.73/0.84 [461]~P9(x4614,x4612,f33(x4613,a1))+P9(x4611,x4612,f33(x4613,a1))+~P24(f25(f25(f27(f33(x4613,a1)),x4611),x4614))
% 0.73/0.84 [462]~P9(x4621,x4624,f33(x4623,a1))+P9(x4621,x4622,f33(x4623,a1))+~P24(f25(f25(f27(f33(x4623,a1)),x4624),x4622))
% 0.73/0.84 [479]P24(f26(x4791,x4792,x4793))+~P24(f26(x4791,x4794,x4793))+~P24(f25(f25(f27(f33(x4793,a1)),x4794),x4792))
% 0.73/0.84 [506]E(f6(x5061,f6(x5062,x5063,f33(x5064,a1)),f33(x5064,a1)),x5063)+~P24(f25(f25(f27(f33(x5064,a1)),x5063),x5061))+~P24(f25(f25(f27(f33(x5064,a1)),x5061),x5062))
% 0.73/0.84 [509]~P24(f25(f25(f27(f33(x5091,a1)),x5092),x5094))+P24(f25(f25(f27(f33(x5091,a1)),x5092),x5093))+~P24(f25(f25(f27(f33(x5091,a1)),x5094),x5093))
% 0.73/0.84 [527]~P24(f25(f25(f27(f33(x5271,a1)),x5273),x5274))+~P24(f25(f25(f27(f33(x5271,a1)),x5272),x5274))+P24(f25(f25(f27(f33(x5271,a1)),f5(x5272,x5273,f33(x5271,a1))),x5274))
% 0.73/0.84 [576]P24(f26(x5761,x5762,x5763))+~P24(f25(f25(f27(f33(x5763,a1)),x5762),f5(f25(f8(f2(x5763),x5763,x5763,a1),x5761),x5764,f33(x5763,a1))))+P24(f25(f25(f27(f33(x5763,a1)),x5762),x5764))
% 0.73/0.84 [582]~P24(f26(x5822,x5824,x5821))+~P24(f25(f25(f27(f33(x5821,a1)),x5823),x5824))+P24(f25(f25(f27(f33(x5821,a1)),f5(f25(f8(f2(x5821),x5821,x5821,a1),x5822),x5823,f33(x5821,a1))),x5824))
% 0.73/0.84 [607]~P24(f26(x6073,x6072,x6071))+~P24(f25(f25(f27(f33(x6071,a1)),x6072),f5(f25(f8(f2(x6071),x6071,x6071,a1),x6073),x6074,f33(x6071,a1))))+P24(f25(f25(f27(f33(x6071,a1)),f6(x6072,f5(f25(f8(f2(x6071),x6071,x6071,a1),x6073),f4(f33(x6071,a1)),f33(x6071,a1)),f33(x6071,a1))),x6074))
% 0.73/0.84 [609]~P24(f26(x6093,x6092,x6091))+P24(f25(f25(f27(f33(x6091,a1)),x6092),f5(f25(f8(f2(x6091),x6091,x6091,a1),x6093),x6094,f33(x6091,a1))))+~P24(f25(f25(f27(f33(x6091,a1)),f6(x6092,f5(f25(f8(f2(x6091),x6091,x6091,a1),x6093),f4(f33(x6091,a1)),f33(x6091,a1)),f33(x6091,a1))),x6094))
% 0.73/0.84 [481]P7(x4811,x4812,x4813)+~P7(x4811,x4814,x4813)+~P24(f25(f25(f27(f33(f28(x4813),a1)),x4812),x4814))
% 0.73/0.84 [465]~P24(f26(x4652,x4654,x4655))+E(f25(x4651,x4652),f4(f33(x4653,a1)))+~E(f9(x4654,x4651,x4655,f33(x4653,a1)),f4(f33(x4653,a1)))
% 0.73/0.84 [513]~P3(x5131)+~P24(f26(x5133,x5134,x5135))+P24(f25(f25(f27(x5131),f25(x5132,x5133)),f9(x5134,x5132,x5135,x5131)))
% 0.73/0.84 [587]E(x5871,x5872)+E(x5871,x5873)+~E(f5(f25(f8(f2(x5874),x5874,x5874,a1),x5875),f5(f25(f8(f2(x5874),x5874,x5874,a1),x5871),f4(f33(x5874,a1)),f33(x5874,a1)),f33(x5874,a1)),f5(f25(f8(f2(x5874),x5874,x5874,a1),x5873),f5(f25(f8(f2(x5874),x5874,x5874,a1),x5872),f4(f33(x5874,a1)),f33(x5874,a1)),f33(x5874,a1)))
% 0.73/0.84 [588]E(x5881,x5882)+E(x5883,x5882)+~E(f5(f25(f8(f2(x5884),x5884,x5884,a1),x5883),f5(f25(f8(f2(x5884),x5884,x5884,a1),x5881),f4(f33(x5884,a1)),f33(x5884,a1)),f33(x5884,a1)),f5(f25(f8(f2(x5884),x5884,x5884,a1),x5885),f5(f25(f8(f2(x5884),x5884,x5884,a1),x5882),f4(f33(x5884,a1)),f33(x5884,a1)),f33(x5884,a1)))
% 0.73/0.84 [589]E(x5891,x5892)+E(x5893,x5892)+~E(f5(f25(f8(f2(x5894),x5894,x5894,a1),x5893),f5(f25(f8(f2(x5894),x5894,x5894,a1),x5891),f4(f33(x5894,a1)),f33(x5894,a1)),f33(x5894,a1)),f5(f25(f8(f2(x5894),x5894,x5894,a1),x5892),f5(f25(f8(f2(x5894),x5894,x5894,a1),x5895),f4(f33(x5894,a1)),f33(x5894,a1)),f33(x5894,a1)))
% 0.73/0.84 [590]E(x5901,x5902)+E(x5901,x5903)+~E(f5(f25(f8(f2(x5904),x5904,x5904,a1),x5901),f5(f25(f8(f2(x5904),x5904,x5904,a1),x5905),f4(f33(x5904,a1)),f33(x5904,a1)),f33(x5904,a1)),f5(f25(f8(f2(x5904),x5904,x5904,a1),x5903),f5(f25(f8(f2(x5904),x5904,x5904,a1),x5902),f4(f33(x5904,a1)),f33(x5904,a1)),f33(x5904,a1)))
% 0.73/0.84 [453]~P23(x4531)+~P9(f24(x4534,x4535,x4531),f24(x4532,x4533,x4531),f33(x4531,a1))+P24(f25(f25(f27(x4531),x4532),x4533))
% 0.73/0.84 [503]~P23(x5031)+P24(f25(f25(f27(f33(x5031,a1)),f24(x5032,x5033,x5031)),f24(x5034,x5035,x5031)))+P24(f25(f25(f27(x5031),x5032),x5033))
% 0.73/0.84 [591]~P7(x5913,f5(f25(f8(f2(f28(a29)),f28(a29),f28(a29),a1),f19(x5914,x5915,x5911,a29)),f4(f33(f28(a29),a1)),f33(f28(a29),a1)),a29)+P7(x5913,f5(f25(f8(f2(f28(a29)),f28(a29),f28(a29),a1),f19(x5914,x5915,x5912,a29)),f4(f33(f28(a29),a1)),f33(f28(a29),a1)),a29)+P24(f25(f25(x5911,f40(x5912,x5911)),f46(x5912,x5911)))
% 0.73/0.84 [592]~P7(x5923,f5(f25(f8(f2(f28(a29)),f28(a29),f28(a29),a1),f19(x5922,x5924,x5925,a29)),f4(f33(f28(a29),a1)),f33(f28(a29),a1)),a29)+P7(x5923,f5(f25(f8(f2(f28(a29)),f28(a29),f28(a29),a1),f19(x5921,x5924,x5925,a29)),f4(f33(f28(a29),a1)),f33(f28(a29),a1)),a29)+P24(f25(f25(x5921,f41(x5921,x5922)),f45(x5921,x5922)))
% 0.73/0.84 [593]~P7(x5931,f5(f25(f8(f2(f28(a29)),f28(a29),f28(a29),a1),f19(x5935,x5933,x5934,a29)),f4(f33(f28(a29),a1)),f33(f28(a29),a1)),a29)+P7(x5931,f5(f25(f8(f2(f28(a29)),f28(a29),f28(a29),a1),f19(x5932,x5933,x5934,a29)),f4(f33(f28(a29),a1)),f33(f28(a29),a1)),a29)+~P24(f25(f25(x5935,f41(x5932,x5935)),f45(x5932,x5935)))
% 0.73/0.84 [594]~P7(x5941,f5(f25(f8(f2(f28(a29)),f28(a29),f28(a29),a1),f19(x5942,x5943,x5945,a29)),f4(f33(f28(a29),a1)),f33(f28(a29),a1)),a29)+P7(x5941,f5(f25(f8(f2(f28(a29)),f28(a29),f28(a29),a1),f19(x5942,x5943,x5944,a29)),f4(f33(f28(a29),a1)),f33(f28(a29),a1)),a29)+~P24(f25(f25(x5944,f40(x5944,x5945)),f46(x5944,x5945)))
% 0.73/0.84 [482]~P1(x4821)+P24(f25(f25(f27(x4821),f25(x4822,x4823)),f25(x4824,x4823)))+~P24(f25(f25(f27(f33(x4825,x4821)),x4822),x4824))
% 0.73/0.84 [532]P24(f25(f25(f27(f33(x5321,a1)),f6(x5322,x5323,f33(x5321,a1))),f6(x5324,x5325,f33(x5321,a1))))+~P24(f25(f25(f27(f33(x5321,a1)),x5325),x5323))+~P24(f25(f25(f27(f33(x5321,a1)),x5322),x5324))
% 0.73/0.84 [533]P24(f25(f25(f27(f33(x5331,a1)),f5(x5332,x5333,f33(x5331,a1))),f5(x5334,x5335,f33(x5331,a1))))+~P24(f25(f25(f27(f33(x5331,a1)),x5333),x5335))+~P24(f25(f25(f27(f33(x5331,a1)),x5332),x5334))
% 0.73/0.84 [603]~P8(x6034,x6031,x6032,x6035,x6033,x6033)+P24(f26(x6031,x6032,x6033))+P24(f25(f14(x6034,f5(f25(f8(f2(x6033),x6033,x6033,a1),x6031),x6032,f33(x6033,a1)),x6033),x6035))
% 0.73/0.84 [515]~P24(f26(x5156,x5151,x5153))+~P24(f25(f25(x5152,x5156),x5155))+P24(f25(f9(x5151,x5152,x5153,f33(x5154,a1)),x5155))
% 0.73/0.84 [518]~P24(f26(x5186,x5182,x5184))+~P24(f26(x5181,f25(x5183,x5186),x5185))+P24(f26(x5181,f9(x5182,x5183,x5184,f33(x5185,a1)),x5185))
% 0.73/0.84 [598]~P7(x5985,f5(f25(f8(f2(f28(a29)),f28(a29),f28(a29),a1),f19(x5982,x5986,x5984,a29)),f4(f33(f28(a29),a1)),f33(f28(a29),a1)),a29)+P7(x5985,f5(f25(f8(f2(f28(a29)),f28(a29),f28(a29),a1),f19(x5981,x5986,x5983,a29)),f4(f33(f28(a29),a1)),f33(f28(a29),a1)),a29)+P24(f25(f25(x5981,f44(x5981,x5982,x5983,x5984)),f43(x5981,x5982,x5983,x5984)))
% 0.73/0.84 [601]~P7(x6011,f5(f25(f8(f2(f28(a29)),f28(a29),f28(a29),a1),f19(x6015,x6013,x6016,a29)),f4(f33(f28(a29),a1)),f33(f28(a29),a1)),a29)+P7(x6011,f5(f25(f8(f2(f28(a29)),f28(a29),f28(a29),a1),f19(x6012,x6013,x6014,a29)),f4(f33(f28(a29),a1)),f33(f28(a29),a1)),a29)+~P24(f25(f25(x6014,f44(x6012,x6015,x6014,x6016)),f42(x6012,x6015,x6014,x6016)))
% 0.73/0.84 [613]~P7(x6131,f5(f25(f8(f2(f28(a29)),f28(a29),f28(a29),a1),f19(x6135,x6133,x6136,a29)),f4(f33(f28(a29),a1)),f33(f28(a29),a1)),a29)+P7(x6131,f5(f25(f8(f2(f28(a29)),f28(a29),f28(a29),a1),f19(x6132,x6133,x6134,a29)),f4(f33(f28(a29),a1)),f33(f28(a29),a1)),a29)+~P24(f25(f25(x6134,f48(x6131,x6132,x6134,x6133)),f53(x6131,x6132,x6134,x6133,x6135,x6136)))
% 0.73/0.84 [614]~P7(x6141,f5(f25(f8(f2(f28(a29)),f28(a29),f28(a29),a1),f19(x6145,x6143,x6146,a29)),f4(f33(f28(a29),a1)),f33(f28(a29),a1)),a29)+P7(x6141,f5(f25(f8(f2(f28(a29)),f28(a29),f28(a29),a1),f19(x6142,x6143,x6144,a29)),f4(f33(f28(a29),a1)),f33(f28(a29),a1)),a29)+~P24(f25(f25(x6144,f49(x6141,x6142,x6144,x6143)),f51(x6141,x6142,x6144,x6143,x6145,x6146)))
% 0.73/0.84 [552]~P24(f26(x5523,x5525,x5526))+P24(f25(f25(f27(f33(x5521,a1)),f25(x5522,x5523)),x5524))+~P24(f25(f25(f27(f33(x5521,a1)),f9(x5525,x5522,x5526,f33(x5521,a1))),x5524))
% 0.73/0.84 [602]~P8(x6024,x6025,x6022,x6026,x6023,x6027)+P8(x6024,x6025,f5(f25(f8(f2(x6023),x6023,x6023,a1),x6021),x6022,f33(x6023,a1)),f25(f25(x6024,x6021),x6026),x6023,x6027)+P24(f26(x6021,x6022,x6023))
% 0.73/0.84 [605]P10(x6051,x6052,x6053,f25(f25(x6051,x6054),x6055),x6056,x6057)+~P10(x6051,x6052,f6(x6053,f5(f25(f8(f2(x6056),x6056,x6056,a1),x6054),f4(f33(x6056,a1)),f33(x6056,a1)),f33(x6056,a1)),x6055,x6056,x6057)+~P24(f26(x6054,x6053,x6056))
% 0.73/0.84 [606]P8(x6061,x6062,x6063,f25(f25(x6061,x6064),x6065),x6066,x6067)+~P8(x6061,x6062,f6(x6063,f5(f25(f8(f2(x6066),x6066,x6066,a1),x6064),f4(f33(x6066,a1)),f33(x6066,a1)),f33(x6066,a1)),x6065,x6066,x6067)+~P24(f26(x6064,x6063,x6066))
% 0.73/0.84 [604]~P7(x6041,f5(f25(f8(f2(f28(x6042)),f28(x6042),f28(x6042),a1),f19(x6043,x6044,x6047,x6042)),f4(f33(f28(x6042),a1)),f33(f28(x6042),a1)),x6042)+~P7(x6041,f5(f25(f8(f2(f28(x6042)),f28(x6042),f28(x6042),a1),f19(x6047,x6045,x6046,x6042)),f4(f33(f28(x6042),a1)),f33(f28(x6042),a1)),x6042)+P7(x6041,f5(f25(f8(f2(f28(x6042)),f28(x6042),f28(x6042),a1),f19(x6043,f11(x6044,x6045),x6046,x6042)),f4(f33(f28(x6042),a1)),f33(f28(x6042),a1)),x6042)
% 0.73/0.84 [618]~P6(x6186,x6183,x6181,x6187,x6188,x6189,x61810,x61811,x6185)+~P24(f26(x6182,x6184,x6185))+P24(f25(f25(x6181,x6182),f25(x6183,x6184)))
% 0.73/0.84 [619]~P6(x6192,x6196,x6191,x6197,x6198,x6199,x61910,x61911,x6195)+~P24(f26(x6194,x6193,x6195))+P24(f25(f25(x6191,f25(x6192,x6193)),x6194))
% 0.73/0.84 [360]~P12(x3602)+~P4(x3601,x3602)+E(x3601,f4(f33(x3602,a1)))+P24(f26(f15(x3601,x3602),x3601,x3602))
% 0.73/0.84 [361]~P12(x3612)+~P4(x3611,x3612)+E(x3611,f4(f33(x3612,a1)))+P24(f26(f16(x3611,x3612),x3611,x3612))
% 0.73/0.84 [318]P9(x3181,x3182,x3183)+~P12(x3183)+E(x3181,x3182)+P9(x3182,x3181,x3183)
% 0.73/0.84 [319]P9(x3191,x3192,x3193)+~P25(x3193)+E(x3191,x3192)+P9(x3192,x3191,x3193)
% 0.73/0.84 [417]~P12(x4171)+~P4(x4173,x4171)+~P24(f26(x4172,x4173,x4171))+P24(f25(f25(f27(x4171),x4172),f15(x4173,x4171)))
% 0.73/0.84 [373]~P12(x3733)+E(x3731,x3732)+P9(x3731,x3732,x3733)+~P24(f25(f25(f27(x3733),x3731),x3732))
% 0.73/0.84 [379]~P23(x3793)+E(x3791,x3792)+P9(x3791,x3792,x3793)+~P24(f25(f25(f27(x3793),x3791),x3792))
% 0.73/0.84 [413]~P22(x4133)+P9(x4131,x4132,x4133)+P24(f25(f25(f27(x4133),x4132),x4131))+~P24(f25(f25(f27(x4133),x4131),x4132))
% 0.73/0.84 [416]E(x4161,x4162)+~P23(x4163)+~P24(f25(f25(f27(x4163),x4162),x4161))+~P24(f25(f25(f27(x4163),x4161),x4162))
% 0.73/0.84 [430]~P12(x4301)+~P4(x4302,x4301)+~P24(f26(x4303,x4302,x4301))+P24(f25(f25(f27(x4301),f16(x4302,x4301)),x4303))
% 0.73/0.84 [380]~P22(x3803)+~P9(x3801,x3804,x3803)+P9(x3801,x3802,x3803)+~P9(x3804,x3802,x3803)
% 0.73/0.84 [381]~P23(x3813)+~P9(x3811,x3814,x3813)+P9(x3811,x3812,x3813)+~P9(x3814,x3812,x3813)
% 0.73/0.84 [549]E(x5491,x5492)+P24(f26(x5493,x5491,x5494))+P24(f26(x5493,x5492,x5494))+~E(f5(f25(f8(f2(x5494),x5494,x5494,a1),x5493),x5491,f33(x5494,a1)),f5(f25(f8(f2(x5494),x5494,x5494,a1),x5493),x5492,f33(x5494,a1)))
% 0.73/0.84 [577]~P9(x5774,f5(f25(f8(f2(x5773),x5773,x5773,a1),x5771),x5772,f33(x5773,a1)),f33(x5773,a1))+P9(f6(x5774,f5(f25(f8(f2(x5773),x5773,x5773,a1),x5771),f4(f33(x5773,a1)),f33(x5773,a1)),f33(x5773,a1)),x5772,f33(x5773,a1))+~P24(f26(x5771,x5774,x5773))+P24(f26(x5771,x5772,x5773))
% 0.73/0.84 [583]~P9(f6(x5834,f5(f25(f8(f2(x5833),x5833,x5833,a1),x5831),f4(f33(x5833,a1)),f33(x5833,a1)),f33(x5833,a1)),x5832,f33(x5833,a1))+P9(x5834,f5(f25(f8(f2(x5833),x5833,x5833,a1),x5831),x5832,f33(x5833,a1)),f33(x5833,a1))+~P24(f26(x5831,x5834,x5833))+P24(f26(x5831,x5832,x5833))
% 0.73/0.84 [584]~P9(x5841,x5844,f33(x5842,a1))+~P9(f6(x5841,f5(f25(f8(f2(x5842),x5842,x5842,a1),x5843),f4(f33(x5842,a1)),f33(x5842,a1)),f33(x5842,a1)),x5844,f33(x5842,a1))+P9(x5841,f5(f25(f8(f2(x5842),x5842,x5842,a1),x5843),x5844,f33(x5842,a1)),f33(x5842,a1))+~P24(f26(x5843,x5841,x5842))
% 0.73/0.84 [398]~P22(x3983)+P9(x3981,x3982,x3983)+~P9(x3984,x3982,x3983)+~P24(f25(f25(f27(x3983),x3981),x3984))
% 0.73/0.84 [399]~P22(x3993)+P9(x3991,x3992,x3993)+~P9(x3991,x3994,x3993)+~P24(f25(f25(f27(x3993),x3994),x3992))
% 0.73/0.84 [400]~P23(x4003)+P9(x4001,x4002,x4003)+~P9(x4004,x4002,x4003)+~P24(f25(f25(f27(x4003),x4001),x4004))
% 0.73/0.84 [401]~P23(x4013)+P9(x4011,x4012,x4013)+~P9(x4011,x4014,x4013)+~P24(f25(f25(f27(x4013),x4014),x4012))
% 0.73/0.84 [434]~P22(x4341)+~P24(f25(f25(f27(x4341),x4342),x4344))+P24(f25(f25(f27(x4341),x4342),x4343))+~P24(f25(f25(f27(x4341),x4344),x4343))
% 0.73/0.84 [435]~P23(x4351)+~P24(f25(f25(f27(x4351),x4352),x4354))+P24(f25(f25(f27(x4351),x4352),x4353))+~P24(f25(f25(f27(x4351),x4354),x4353))
% 0.73/0.84 [467]~P12(x4673)+E(f5(f24(x4671,x4672,x4673),f22(x4672,x4674,x4673),f33(x4673,a1)),f24(x4671,x4674,x4673))+~P24(f25(f25(f27(x4673),x4672),x4674))+~P24(f25(f25(f27(x4673),x4671),x4672))
% 0.73/0.84 [468]~P12(x4683)+E(f5(f22(x4681,x4682,x4683),f22(x4682,x4684,x4683),f33(x4683,a1)),f22(x4681,x4684,x4683))+~P24(f25(f25(f27(x4683),x4682),x4684))+~P24(f25(f25(f27(x4683),x4681),x4682))
% 0.73/0.84 [469]~P12(x4693)+E(f5(f23(x4691,x4692,x4693),f24(x4692,x4694,x4693),f33(x4693,a1)),f24(x4691,x4694,x4693))+~P24(f25(f25(f27(x4693),x4692),x4694))+~P24(f25(f25(f27(x4693),x4691),x4692))
% 0.73/0.84 [470]~P12(x4703)+E(f5(f23(x4701,x4702,x4703),f23(x4702,x4704,x4703),f33(x4703,a1)),f23(x4701,x4704,x4703))+~P24(f25(f25(f27(x4703),x4702),x4704))+~P24(f25(f25(f27(x4703),x4701),x4702))
% 0.73/0.84 [492]~P13(x4921)+~P24(f25(f25(f27(x4921),x4923),x4924))+~P24(f25(f25(f27(x4921),x4922),x4924))+P24(f25(f25(f27(x4921),f5(x4922,x4923,x4921)),x4924))
% 0.73/0.84 [496]~P1(x4964)+P9(x4961,x4962,f33(x4963,x4964))+P24(f25(f25(f27(f33(x4963,x4964)),x4962),x4961))+~P24(f25(f25(f27(f33(x4963,x4964)),x4961),x4962))
% 0.73/0.84 [544]P9(x5444,f5(f25(f8(f2(x5443),x5443,x5443,a1),x5441),x5442,f33(x5443,a1)),f33(x5443,a1))+P24(f26(x5441,x5442,x5443))+P24(f26(x5441,x5444,x5443))+~P24(f25(f25(f27(f33(x5443,a1)),x5444),x5442))
% 0.73/0.84 [545]~P9(x5452,x5454,f33(x5453,a1))+P9(x5452,f5(f25(f8(f2(x5453),x5453,x5453,a1),x5451),x5454,f33(x5453,a1)),f33(x5453,a1))+P24(f26(x5451,x5452,x5453))+~P24(f25(f25(f27(f33(x5453,a1)),x5452),x5454))
% 0.73/0.84 [551]~P9(x5514,f5(f25(f8(f2(x5513),x5513,x5513,a1),x5511),x5512,f33(x5513,a1)),f33(x5513,a1))+P24(f26(x5511,x5512,x5513))+P24(f26(x5511,x5514,x5513))+P24(f25(f25(f27(f33(x5513,a1)),x5514),x5512))
% 0.73/0.84 [585]~P9(f6(x5854,f5(f25(f8(f2(x5853),x5853,x5853,a1),x5851),f4(f33(x5853,a1)),f33(x5853,a1)),f33(x5853,a1)),x5852,f33(x5853,a1))+P9(x5854,f5(f25(f8(f2(x5853),x5853,x5853,a1),x5851),x5852,f33(x5853,a1)),f33(x5853,a1))+P24(f26(x5851,x5852,x5853))+~P24(f25(f25(f27(f33(x5853,a1)),x5854),x5852))
% 0.73/0.84 [586]~P9(x5861,x5864,f33(x5862,a1))+~P9(f6(x5861,f5(f25(f8(f2(x5862),x5862,x5862,a1),x5863),f4(f33(x5862,a1)),f33(x5862,a1)),f33(x5862,a1)),x5864,f33(x5862,a1))+P9(x5861,f5(f25(f8(f2(x5862),x5862,x5862,a1),x5863),x5864,f33(x5862,a1)),f33(x5862,a1))+~P24(f25(f25(f27(f33(x5862,a1)),x5861),x5864))
% 0.73/0.84 [402]~P21(x4023)+~P9(x4024,x4025,x4023)+P9(x4021,x4022,x4023)+~E(f6(x4024,x4025,x4023),f6(x4021,x4022,x4023))
% 0.73/0.84 [403]~P21(x4033)+~P9(x4034,x4035,x4033)+P9(x4031,x4032,x4033)+~E(f6(x4031,x4032,x4033),f6(x4034,x4035,x4033))
% 0.73/0.84 [505]~P4(x5054,x5055)+P4(f25(x5051,x5052),x5053)+~P24(f26(x5052,x5054,x5055))+~P4(f9(x5054,x5051,x5055,f33(x5053,a1)),x5053)
% 0.73/0.84 [437]~P21(x4371)+~E(f6(x4374,x4375,x4371),f6(x4373,x4372,x4371))+~P24(f25(f25(f27(x4371),x4375),x4374))+P24(f25(f25(f27(x4371),x4372),x4373))
% 0.73/0.84 [438]~P21(x4381)+~E(f6(x4383,x4382,x4381),f6(x4384,x4385,x4381))+~P24(f25(f25(f27(x4381),x4385),x4384))+P24(f25(f25(f27(x4381),x4382),x4383))
% 0.73/0.84 [454]~P23(x4541)+P9(f24(x4542,x4543,x4541),f24(x4544,x4545,x4541),f33(x4541,a1))+~P24(f25(f25(f27(x4541),x4544),x4545))+P24(f25(f25(f27(x4541),x4542),x4543))
% 0.73/0.84 [474]~P23(x4741)+~P9(f24(x4744,x4742,x4741),f24(x4745,x4743,x4741),f33(x4741,a1))+P24(f25(f25(f27(x4741),x4742),x4743))+~P24(f25(f25(f27(x4741),x4744),x4742))
% 0.73/0.84 [475]~P23(x4751)+~P9(f24(x4753,x4754,x4751),f24(x4752,x4755,x4751),f33(x4751,a1))+P24(f25(f25(f27(x4751),x4752),x4753))+~P24(f25(f25(f27(x4751),x4753),x4754))
% 0.73/0.84 [511]~P23(x5111)+P24(f25(f25(f27(f33(x5111,a1)),f24(x5112,x5113,x5111)),f24(x5114,x5115,x5111)))+~P24(f25(f25(f27(x5111),x5114),x5112))+~P24(f25(f25(f27(x5111),x5113),x5115))
% 0.73/0.84 [520]~P12(x5201)+~P24(f25(f25(f27(f33(x5201,a1)),f23(x5203,x5202,x5201)),f23(x5204,x5205,x5201)))+P24(f25(f25(f27(x5201),x5202),x5203))+P24(f25(f25(f27(x5201),x5204),x5203))
% 0.73/0.84 [521]~P12(x5211)+~P24(f25(f25(f27(f33(x5211,a1)),f23(x5213,x5212,x5211)),f23(x5215,x5214,x5211)))+P24(f25(f25(f27(x5211),x5212),x5213))+P24(f25(f25(f27(x5211),x5212),x5214))
% 0.73/0.84 [524]~P23(x5241)+~P24(f25(f25(f27(f33(x5241,a1)),f24(x5244,x5242,x5241)),f24(x5245,x5243,x5241)))+P24(f25(f25(f27(x5241),x5242),x5243))+~P24(f25(f25(f27(x5241),x5244),x5242))
% 0.73/0.84 [525]~P23(x5251)+~P24(f25(f25(f27(f33(x5251,a1)),f24(x5253,x5254,x5251)),f24(x5252,x5255,x5251)))+P24(f25(f25(f27(x5251),x5252),x5253))+~P24(f25(f25(f27(x5251),x5253),x5254))
% 0.73/0.84 [562]~P20(x5625)+~P4(x5622,x5623)+P24(f26(x5624,x5622,x5623))+E(f17(x5621,f6(x5622,f5(f25(f8(f2(x5623),x5623,x5623,a1),x5624),f4(f33(x5623,a1)),f33(x5623,a1)),f33(x5623,a1)),x5623,x5625),f17(x5621,x5622,x5623,x5625))
% 0.73/0.84 [563]~P26(x5635)+~P4(x5632,x5633)+~P24(f26(x5634,x5632,x5633))+E(f17(x5631,f6(x5632,f5(f25(f8(f2(x5633),x5633,x5633,a1),x5634),f4(f33(x5633,a1)),f33(x5633,a1)),f33(x5633,a1)),x5633,x5635),f6(f17(x5631,x5632,x5633,x5635),f25(x5631,x5634),x5635))
% 0.73/0.84 [564]~P20(x5645)+~P4(x5642,x5643)+~P24(f26(x5644,x5642,x5643))+E(f17(x5641,f6(x5642,f5(f25(f8(f2(x5643),x5643,x5643,a1),x5644),f4(f33(x5643,a1)),f33(x5643,a1)),f33(x5643,a1)),x5643,x5645),f6(f17(x5641,x5642,x5643,x5645),f25(x5641,x5644),x5645))
% 0.73/0.84 [530]~P20(x5304)+~P4(x5302,x5303)+E(f6(f17(x5301,x5302,x5303,x5304),f17(x5301,x5305,x5303,x5304),x5304),f17(x5301,f6(x5302,x5305,f33(x5303,a1)),x5303,x5304))+~P24(f25(f25(f27(f33(x5303,a1)),x5305),x5302))
% 0.73/0.84 [596]~P7(x5966,f5(f25(f8(f2(f28(a29)),f28(a29),f28(a29),a1),f19(x5964,x5967,x5961,a29)),f4(f33(f28(a29),a1)),f33(f28(a29),a1)),a29)+P7(x5966,f5(f25(f8(f2(f28(a29)),f28(a29),f28(a29),a1),f19(x5963,x5967,x5965,a29)),f4(f33(f28(a29),a1)),f33(f28(a29),a1)),a29)+~P24(f25(f25(x5964,x5962),f43(x5963,x5964,x5965,x5961)))+P24(f25(f25(x5961,x5962),f42(x5963,x5964,x5965,x5961)))
% 0.73/0.84 [611]P7(x6113,f5(f25(f8(f2(f28(a29)),f28(a29),f28(a29),a1),f19(x6114,x6116,x6115,a29)),f4(f33(f28(a29),a1)),f33(f28(a29),a1)),a29)+~P7(x6113,f5(f25(f8(f2(f28(a29)),f28(a29),f28(a29),a1),f19(x6117,x6116,x6111,a29)),f4(f33(f28(a29),a1)),f33(f28(a29),a1)),a29)+~P24(f25(f25(x6117,x6112),f50(x6113,x6114,x6115,x6116)))+P24(f25(f25(x6111,x6112),f51(x6113,x6114,x6115,x6116,x6117,x6111)))
% 0.73/0.84 [612]P7(x6123,f5(f25(f8(f2(f28(a29)),f28(a29),f28(a29),a1),f19(x6124,x6126,x6125,a29)),f4(f33(f28(a29),a1)),f33(f28(a29),a1)),a29)+~P7(x6123,f5(f25(f8(f2(f28(a29)),f28(a29),f28(a29),a1),f19(x6127,x6126,x6121,a29)),f4(f33(f28(a29),a1)),f33(f28(a29),a1)),a29)+~P24(f25(f25(x6127,x6122),f52(x6123,x6124,x6125,x6126)))+P24(f25(f25(x6121,x6122),f53(x6123,x6124,x6125,x6126,x6127,x6121)))
% 0.73/0.84 [484]~P12(x4842)+~P4(x4843,x4842)+E(x4841,f4(f33(x4842,a1)))+P24(f25(f25(f27(x4842),f16(x4843,x4842)),f16(x4841,x4842)))+~P24(f25(f25(f27(f33(x4842,a1)),x4841),x4843))
% 0.73/0.84 [485]~P12(x4852)+~P4(x4853,x4852)+E(x4851,f4(f33(x4852,a1)))+P24(f25(f25(f27(x4852),f15(x4851,x4852)),f15(x4853,x4852)))+~P24(f25(f25(f27(f33(x4852,a1)),x4851),x4853))
% 0.73/0.84 [480]~P23(x4803)+P9(x4801,x4802,x4803)+P9(x4804,x4805,x4803)+~P9(f24(x4802,x4804,x4803),f24(x4801,x4805,x4803),f33(x4803,a1))+~P24(f25(f25(f27(x4803),x4802),x4804))
% 0.73/0.84 [494]~P23(x4943)+~P9(x4944,x4941,x4943)+P9(f24(x4941,x4942,x4943),f24(x4944,x4945,x4943),f33(x4943,a1))+~P24(f25(f25(f27(x4943),x4944),x4945))+~P24(f25(f25(f27(x4943),x4944),x4941))+~P24(f25(f25(f27(x4943),x4942),x4945))
% 0.73/0.84 [495]~P23(x4953)+~P9(x4952,x4955,x4953)+P9(f24(x4951,x4952,x4953),f24(x4954,x4955,x4953),f33(x4953,a1))+~P24(f25(f25(f27(x4953),x4954),x4955))+~P24(f25(f25(f27(x4953),x4954),x4951))+~P24(f25(f25(f27(x4953),x4952),x4955))
% 0.73/0.84 %EqnAxiom
% 0.73/0.84 [1]E(x11,x11)
% 0.73/0.84 [2]E(x22,x21)+~E(x21,x22)
% 0.73/0.84 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.73/0.84 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.73/0.84 [5]~E(x51,x52)+E(f25(x51,x53),f25(x52,x53))
% 0.73/0.84 [6]~E(x61,x62)+E(f25(x63,x61),f25(x63,x62))
% 0.73/0.84 [7]~E(x71,x72)+E(f3(x71,x73),f3(x72,x73))
% 0.73/0.84 [8]~E(x81,x82)+E(f3(x83,x81),f3(x83,x82))
% 0.73/0.84 [9]~E(x91,x92)+E(f33(x91,x93),f33(x92,x93))
% 0.73/0.84 [10]~E(x101,x102)+E(f33(x103,x101),f33(x103,x102))
% 0.73/0.84 [11]~E(x111,x112)+E(f4(x111),f4(x112))
% 0.73/0.84 [12]~E(x121,x122)+E(f5(x121,x123,x124),f5(x122,x123,x124))
% 0.73/0.84 [13]~E(x131,x132)+E(f5(x133,x131,x134),f5(x133,x132,x134))
% 0.73/0.84 [14]~E(x141,x142)+E(f5(x143,x144,x141),f5(x143,x144,x142))
% 0.73/0.84 [15]~E(x151,x152)+E(f8(x151,x153,x154,x155),f8(x152,x153,x154,x155))
% 0.73/0.84 [16]~E(x161,x162)+E(f8(x163,x161,x164,x165),f8(x163,x162,x164,x165))
% 0.73/0.84 [17]~E(x171,x172)+E(f8(x173,x174,x171,x175),f8(x173,x174,x172,x175))
% 0.73/0.84 [18]~E(x181,x182)+E(f8(x183,x184,x185,x181),f8(x183,x184,x185,x182))
% 0.73/0.84 [19]~E(x191,x192)+E(f28(x191),f28(x192))
% 0.73/0.84 [20]~E(x201,x202)+E(f6(x201,x203,x204),f6(x202,x203,x204))
% 0.73/0.84 [21]~E(x211,x212)+E(f6(x213,x211,x214),f6(x213,x212,x214))
% 0.73/0.84 [22]~E(x221,x222)+E(f6(x223,x224,x221),f6(x223,x224,x222))
% 0.73/0.84 [23]~E(x231,x232)+E(f24(x231,x233,x234),f24(x232,x233,x234))
% 0.73/0.84 [24]~E(x241,x242)+E(f24(x243,x241,x244),f24(x243,x242,x244))
% 0.73/0.84 [25]~E(x251,x252)+E(f24(x253,x254,x251),f24(x253,x254,x252))
% 0.73/0.84 [26]~E(x261,x262)+E(f9(x261,x263,x264,x265),f9(x262,x263,x264,x265))
% 0.73/0.84 [27]~E(x271,x272)+E(f9(x273,x271,x274,x275),f9(x273,x272,x274,x275))
% 0.73/0.84 [28]~E(x281,x282)+E(f9(x283,x284,x281,x285),f9(x283,x284,x282,x285))
% 0.73/0.84 [29]~E(x291,x292)+E(f9(x293,x294,x295,x291),f9(x293,x294,x295,x292))
% 0.73/0.84 [30]~E(x301,x302)+E(f27(x301),f27(x302))
% 0.73/0.84 [31]~E(x311,x312)+E(f18(x311,x313),f18(x312,x313))
% 0.73/0.84 [32]~E(x321,x322)+E(f18(x323,x321),f18(x323,x322))
% 0.73/0.84 [33]~E(x331,x332)+E(f26(x331,x333,x334),f26(x332,x333,x334))
% 0.73/0.84 [34]~E(x341,x342)+E(f26(x343,x341,x344),f26(x343,x342,x344))
% 0.73/0.84 [35]~E(x351,x352)+E(f26(x353,x354,x351),f26(x353,x354,x352))
% 0.73/0.84 [36]~E(x361,x362)+E(f53(x361,x363,x364,x365,x366,x367),f53(x362,x363,x364,x365,x366,x367))
% 0.73/0.84 [37]~E(x371,x372)+E(f53(x373,x371,x374,x375,x376,x377),f53(x373,x372,x374,x375,x376,x377))
% 0.73/0.84 [38]~E(x381,x382)+E(f53(x383,x384,x381,x385,x386,x387),f53(x383,x384,x382,x385,x386,x387))
% 0.73/0.84 [39]~E(x391,x392)+E(f53(x393,x394,x395,x391,x396,x397),f53(x393,x394,x395,x392,x396,x397))
% 0.73/0.84 [40]~E(x401,x402)+E(f53(x403,x404,x405,x406,x401,x407),f53(x403,x404,x405,x406,x402,x407))
% 0.73/0.84 [41]~E(x411,x412)+E(f53(x413,x414,x415,x416,x417,x411),f53(x413,x414,x415,x416,x417,x412))
% 0.73/0.84 [42]~E(x421,x422)+E(f19(x421,x423,x424,x425),f19(x422,x423,x424,x425))
% 0.73/0.84 [43]~E(x431,x432)+E(f19(x433,x431,x434,x435),f19(x433,x432,x434,x435))
% 0.73/0.84 [44]~E(x441,x442)+E(f19(x443,x444,x441,x445),f19(x443,x444,x442,x445))
% 0.73/0.84 [45]~E(x451,x452)+E(f19(x453,x454,x455,x451),f19(x453,x454,x455,x452))
% 0.73/0.84 [46]~E(x461,x462)+E(f22(x461,x463,x464),f22(x462,x463,x464))
% 0.73/0.84 [47]~E(x471,x472)+E(f22(x473,x471,x474),f22(x473,x472,x474))
% 0.73/0.84 [48]~E(x481,x482)+E(f22(x483,x484,x481),f22(x483,x484,x482))
% 0.73/0.84 [49]~E(x491,x492)+E(f17(x491,x493,x494,x495),f17(x492,x493,x494,x495))
% 0.73/0.84 [50]~E(x501,x502)+E(f17(x503,x501,x504,x505),f17(x503,x502,x504,x505))
% 0.73/0.84 [51]~E(x511,x512)+E(f17(x513,x514,x511,x515),f17(x513,x514,x512,x515))
% 0.73/0.84 [52]~E(x521,x522)+E(f17(x523,x524,x525,x521),f17(x523,x524,x525,x522))
% 0.73/0.84 [53]~E(x531,x532)+E(f7(x531,x533,x534),f7(x532,x533,x534))
% 0.73/0.84 [54]~E(x541,x542)+E(f7(x543,x541,x544),f7(x543,x542,x544))
% 0.73/0.84 [55]~E(x551,x552)+E(f7(x553,x554,x551),f7(x553,x554,x552))
% 0.73/0.84 [56]~E(x561,x562)+E(f23(x561,x563,x564),f23(x562,x563,x564))
% 0.73/0.84 [57]~E(x571,x572)+E(f23(x573,x571,x574),f23(x573,x572,x574))
% 0.73/0.84 [58]~E(x581,x582)+E(f23(x583,x584,x581),f23(x583,x584,x582))
% 0.73/0.84 [59]~E(x591,x592)+E(f51(x591,x593,x594,x595,x596,x597),f51(x592,x593,x594,x595,x596,x597))
% 0.73/0.84 [60]~E(x601,x602)+E(f51(x603,x601,x604,x605,x606,x607),f51(x603,x602,x604,x605,x606,x607))
% 0.73/0.84 [61]~E(x611,x612)+E(f51(x613,x614,x611,x615,x616,x617),f51(x613,x614,x612,x615,x616,x617))
% 0.73/0.84 [62]~E(x621,x622)+E(f51(x623,x624,x625,x621,x626,x627),f51(x623,x624,x625,x622,x626,x627))
% 0.73/0.84 [63]~E(x631,x632)+E(f51(x633,x634,x635,x636,x631,x637),f51(x633,x634,x635,x636,x632,x637))
% 0.73/0.84 [64]~E(x641,x642)+E(f51(x643,x644,x645,x646,x647,x641),f51(x643,x644,x645,x646,x647,x642))
% 0.73/0.84 [65]~E(x651,x652)+E(f12(x651),f12(x652))
% 0.73/0.84 [66]~E(x661,x662)+E(f16(x661,x663),f16(x662,x663))
% 0.73/0.84 [67]~E(x671,x672)+E(f16(x673,x671),f16(x673,x672))
% 0.73/0.84 [68]~E(x681,x682)+E(f13(x681),f13(x682))
% 0.73/0.84 [69]~E(x691,x692)+E(f50(x691,x693,x694,x695),f50(x692,x693,x694,x695))
% 0.73/0.84 [70]~E(x701,x702)+E(f50(x703,x701,x704,x705),f50(x703,x702,x704,x705))
% 0.73/0.84 [71]~E(x711,x712)+E(f50(x713,x714,x711,x715),f50(x713,x714,x712,x715))
% 0.73/0.84 [72]~E(x721,x722)+E(f50(x723,x724,x725,x721),f50(x723,x724,x725,x722))
% 0.73/0.84 [73]~E(x731,x732)+E(f40(x731,x733),f40(x732,x733))
% 0.73/0.84 [74]~E(x741,x742)+E(f40(x743,x741),f40(x743,x742))
% 0.73/0.84 [75]~E(x751,x752)+E(f45(x751,x753),f45(x752,x753))
% 0.73/0.84 [76]~E(x761,x762)+E(f45(x763,x761),f45(x763,x762))
% 0.73/0.84 [77]~E(x771,x772)+E(f11(x771,x773),f11(x772,x773))
% 0.73/0.84 [78]~E(x781,x782)+E(f11(x783,x781),f11(x783,x782))
% 0.73/0.84 [79]~E(x791,x792)+E(f43(x791,x793,x794,x795),f43(x792,x793,x794,x795))
% 0.73/0.84 [80]~E(x801,x802)+E(f43(x803,x801,x804,x805),f43(x803,x802,x804,x805))
% 0.73/0.84 [81]~E(x811,x812)+E(f43(x813,x814,x811,x815),f43(x813,x814,x812,x815))
% 0.73/0.84 [82]~E(x821,x822)+E(f43(x823,x824,x825,x821),f43(x823,x824,x825,x822))
% 0.73/0.84 [83]~E(x831,x832)+E(f20(x831,x833),f20(x832,x833))
% 0.73/0.84 [84]~E(x841,x842)+E(f20(x843,x841),f20(x843,x842))
% 0.73/0.84 [85]~E(x851,x852)+E(f44(x851,x853,x854,x855),f44(x852,x853,x854,x855))
% 0.73/0.84 [86]~E(x861,x862)+E(f44(x863,x861,x864,x865),f44(x863,x862,x864,x865))
% 0.73/0.84 [87]~E(x871,x872)+E(f44(x873,x874,x871,x875),f44(x873,x874,x872,x875))
% 0.73/0.84 [88]~E(x881,x882)+E(f44(x883,x884,x885,x881),f44(x883,x884,x885,x882))
% 0.73/0.84 [89]~E(x891,x892)+E(f39(x891,x893,x894,x895),f39(x892,x893,x894,x895))
% 0.73/0.84 [90]~E(x901,x902)+E(f39(x903,x901,x904,x905),f39(x903,x902,x904,x905))
% 0.73/0.84 [91]~E(x911,x912)+E(f39(x913,x914,x911,x915),f39(x913,x914,x912,x915))
% 0.73/0.84 [92]~E(x921,x922)+E(f39(x923,x924,x925,x921),f39(x923,x924,x925,x922))
% 0.73/0.84 [93]~E(x931,x932)+E(f15(x931,x933),f15(x932,x933))
% 0.73/0.84 [94]~E(x941,x942)+E(f15(x943,x941),f15(x943,x942))
% 0.73/0.84 [95]~E(x951,x952)+E(f41(x951,x953),f41(x952,x953))
% 0.73/0.84 [96]~E(x961,x962)+E(f41(x963,x961),f41(x963,x962))
% 0.73/0.84 [97]~E(x971,x972)+E(f21(x971,x973),f21(x972,x973))
% 0.73/0.84 [98]~E(x981,x982)+E(f21(x983,x981),f21(x983,x982))
% 0.73/0.84 [99]~E(x991,x992)+E(f46(x991,x993),f46(x992,x993))
% 0.73/0.84 [100]~E(x1001,x1002)+E(f46(x1003,x1001),f46(x1003,x1002))
% 0.73/0.84 [101]~E(x1011,x1012)+E(f49(x1011,x1013,x1014,x1015),f49(x1012,x1013,x1014,x1015))
% 0.73/0.84 [102]~E(x1021,x1022)+E(f49(x1023,x1021,x1024,x1025),f49(x1023,x1022,x1024,x1025))
% 0.73/0.84 [103]~E(x1031,x1032)+E(f49(x1033,x1034,x1031,x1035),f49(x1033,x1034,x1032,x1035))
% 0.73/0.84 [104]~E(x1041,x1042)+E(f49(x1043,x1044,x1045,x1041),f49(x1043,x1044,x1045,x1042))
% 0.73/0.84 [105]~E(x1051,x1052)+E(f14(x1051,x1053,x1054),f14(x1052,x1053,x1054))
% 0.73/0.84 [106]~E(x1061,x1062)+E(f14(x1063,x1061,x1064),f14(x1063,x1062,x1064))
% 0.73/0.84 [107]~E(x1071,x1072)+E(f14(x1073,x1074,x1071),f14(x1073,x1074,x1072))
% 0.73/0.84 [108]~E(x1081,x1082)+E(f47(x1081,x1083,x1084,x1085),f47(x1082,x1083,x1084,x1085))
% 0.73/0.84 [109]~E(x1091,x1092)+E(f47(x1093,x1091,x1094,x1095),f47(x1093,x1092,x1094,x1095))
% 0.73/0.84 [110]~E(x1101,x1102)+E(f47(x1103,x1104,x1101,x1105),f47(x1103,x1104,x1102,x1105))
% 0.73/0.84 [111]~E(x1111,x1112)+E(f47(x1113,x1114,x1115,x1111),f47(x1113,x1114,x1115,x1112))
% 0.73/0.84 [112]~E(x1121,x1122)+E(f52(x1121,x1123,x1124,x1125),f52(x1122,x1123,x1124,x1125))
% 0.73/0.84 [113]~E(x1131,x1132)+E(f52(x1133,x1131,x1134,x1135),f52(x1133,x1132,x1134,x1135))
% 0.73/0.84 [114]~E(x1141,x1142)+E(f52(x1143,x1144,x1141,x1145),f52(x1143,x1144,x1142,x1145))
% 0.73/0.84 [115]~E(x1151,x1152)+E(f52(x1153,x1154,x1155,x1151),f52(x1153,x1154,x1155,x1152))
% 0.73/0.84 [116]~E(x1161,x1162)+E(f42(x1161,x1163,x1164,x1165),f42(x1162,x1163,x1164,x1165))
% 0.73/0.84 [117]~E(x1171,x1172)+E(f42(x1173,x1171,x1174,x1175),f42(x1173,x1172,x1174,x1175))
% 0.73/0.84 [118]~E(x1181,x1182)+E(f42(x1183,x1184,x1181,x1185),f42(x1183,x1184,x1182,x1185))
% 0.73/0.84 [119]~E(x1191,x1192)+E(f42(x1193,x1194,x1195,x1191),f42(x1193,x1194,x1195,x1192))
% 0.73/0.84 [120]~E(x1201,x1202)+E(f48(x1201,x1203,x1204,x1205),f48(x1202,x1203,x1204,x1205))
% 0.73/0.84 [121]~E(x1211,x1212)+E(f48(x1213,x1211,x1214,x1215),f48(x1213,x1212,x1214,x1215))
% 0.73/0.84 [122]~E(x1221,x1222)+E(f48(x1223,x1224,x1221,x1225),f48(x1223,x1224,x1222,x1225))
% 0.73/0.84 [123]~E(x1231,x1232)+E(f48(x1233,x1234,x1235,x1231),f48(x1233,x1234,x1235,x1232))
% 0.73/0.84 [124]~P1(x1241)+P1(x1242)+~E(x1241,x1242)
% 0.73/0.84 [125]P6(x1252,x1253,x1254,x1255,x1256,x1257,x1258,x1259,x12510)+~E(x1251,x1252)+~P6(x1251,x1253,x1254,x1255,x1256,x1257,x1258,x1259,x12510)
% 0.73/0.84 [126]P6(x1263,x1262,x1264,x1265,x1266,x1267,x1268,x1269,x12610)+~E(x1261,x1262)+~P6(x1263,x1261,x1264,x1265,x1266,x1267,x1268,x1269,x12610)
% 0.73/0.84 [127]P6(x1273,x1274,x1272,x1275,x1276,x1277,x1278,x1279,x12710)+~E(x1271,x1272)+~P6(x1273,x1274,x1271,x1275,x1276,x1277,x1278,x1279,x12710)
% 0.73/0.84 [128]P6(x1283,x1284,x1285,x1282,x1286,x1287,x1288,x1289,x12810)+~E(x1281,x1282)+~P6(x1283,x1284,x1285,x1281,x1286,x1287,x1288,x1289,x12810)
% 0.73/0.84 [129]P6(x1293,x1294,x1295,x1296,x1292,x1297,x1298,x1299,x12910)+~E(x1291,x1292)+~P6(x1293,x1294,x1295,x1296,x1291,x1297,x1298,x1299,x12910)
% 0.73/0.84 [130]P6(x1303,x1304,x1305,x1306,x1307,x1302,x1308,x1309,x13010)+~E(x1301,x1302)+~P6(x1303,x1304,x1305,x1306,x1307,x1301,x1308,x1309,x13010)
% 0.73/0.84 [131]P6(x1313,x1314,x1315,x1316,x1317,x1318,x1312,x1319,x13110)+~E(x1311,x1312)+~P6(x1313,x1314,x1315,x1316,x1317,x1318,x1311,x1319,x13110)
% 0.73/0.84 [132]P6(x1323,x1324,x1325,x1326,x1327,x1328,x1329,x1322,x13210)+~E(x1321,x1322)+~P6(x1323,x1324,x1325,x1326,x1327,x1328,x1329,x1321,x13210)
% 0.73/0.84 [133]P6(x1333,x1334,x1335,x1336,x1337,x1338,x1339,x13310,x1332)+~E(x1331,x1332)+~P6(x1333,x1334,x1335,x1336,x1337,x1338,x1339,x13310,x1331)
% 0.73/0.84 [134]~P12(x1341)+P12(x1342)+~E(x1341,x1342)
% 0.73/0.84 [135]~P22(x1351)+P22(x1352)+~E(x1351,x1352)
% 0.73/0.84 [136]P7(x1362,x1363,x1364)+~E(x1361,x1362)+~P7(x1361,x1363,x1364)
% 0.73/0.84 [137]P7(x1373,x1372,x1374)+~E(x1371,x1372)+~P7(x1373,x1371,x1374)
% 0.73/0.84 [138]P7(x1383,x1384,x1382)+~E(x1381,x1382)+~P7(x1383,x1384,x1381)
% 0.73/0.84 [139]~P23(x1391)+P23(x1392)+~E(x1391,x1392)
% 0.73/0.84 [140]~P24(x1401)+P24(x1402)+~E(x1401,x1402)
% 0.73/0.84 [141]~P13(x1411)+P13(x1412)+~E(x1411,x1412)
% 0.73/0.84 [142]P9(x1422,x1423,x1424)+~E(x1421,x1422)+~P9(x1421,x1423,x1424)
% 0.73/0.84 [143]P9(x1433,x1432,x1434)+~E(x1431,x1432)+~P9(x1433,x1431,x1434)
% 0.73/0.84 [144]P9(x1443,x1444,x1442)+~E(x1441,x1442)+~P9(x1443,x1444,x1441)
% 0.73/0.84 [145]~P2(x1451)+P2(x1452)+~E(x1451,x1452)
% 0.73/0.84 [146]~P3(x1461)+P3(x1462)+~E(x1461,x1462)
% 0.73/0.84 [147]~P14(x1471)+P14(x1472)+~E(x1471,x1472)
% 0.73/0.84 [148]~P15(x1481)+P15(x1482)+~E(x1481,x1482)
% 0.73/0.84 [149]P4(x1492,x1493)+~E(x1491,x1492)+~P4(x1491,x1493)
% 0.73/0.84 [150]P4(x1503,x1502)+~E(x1501,x1502)+~P4(x1503,x1501)
% 0.73/0.84 [151]~P16(x1511)+P16(x1512)+~E(x1511,x1512)
% 0.73/0.84 [152]~P17(x1521)+P17(x1522)+~E(x1521,x1522)
% 0.73/0.84 [153]~P11(x1531)+P11(x1532)+~E(x1531,x1532)
% 0.73/0.84 [154]~P18(x1541)+P18(x1542)+~E(x1541,x1542)
% 0.73/0.84 [155]~P26(x1551)+P26(x1552)+~E(x1551,x1552)
% 0.73/0.84 [156]~P21(x1561)+P21(x1562)+~E(x1561,x1562)
% 0.73/0.84 [157]~P25(x1571)+P25(x1572)+~E(x1571,x1572)
% 0.73/0.84 [158]P8(x1582,x1583,x1584,x1585,x1586,x1587)+~E(x1581,x1582)+~P8(x1581,x1583,x1584,x1585,x1586,x1587)
% 0.73/0.84 [159]P8(x1593,x1592,x1594,x1595,x1596,x1597)+~E(x1591,x1592)+~P8(x1593,x1591,x1594,x1595,x1596,x1597)
% 0.73/0.84 [160]P8(x1603,x1604,x1602,x1605,x1606,x1607)+~E(x1601,x1602)+~P8(x1603,x1604,x1601,x1605,x1606,x1607)
% 0.73/0.84 [161]P8(x1613,x1614,x1615,x1612,x1616,x1617)+~E(x1611,x1612)+~P8(x1613,x1614,x1615,x1611,x1616,x1617)
% 0.73/0.84 [162]P8(x1623,x1624,x1625,x1626,x1622,x1627)+~E(x1621,x1622)+~P8(x1623,x1624,x1625,x1626,x1621,x1627)
% 0.73/0.84 [163]P8(x1633,x1634,x1635,x1636,x1637,x1632)+~E(x1631,x1632)+~P8(x1633,x1634,x1635,x1636,x1637,x1631)
% 0.73/0.84 [164]~P19(x1641)+P19(x1642)+~E(x1641,x1642)
% 0.73/0.84 [165]~P20(x1651)+P20(x1652)+~E(x1651,x1652)
% 0.73/0.84 [166]P10(x1662,x1663,x1664,x1665,x1666,x1667)+~E(x1661,x1662)+~P10(x1661,x1663,x1664,x1665,x1666,x1667)
% 0.73/0.84 [167]P10(x1673,x1672,x1674,x1675,x1676,x1677)+~E(x1671,x1672)+~P10(x1673,x1671,x1674,x1675,x1676,x1677)
% 0.73/0.84 [168]P10(x1683,x1684,x1682,x1685,x1686,x1687)+~E(x1681,x1682)+~P10(x1683,x1684,x1681,x1685,x1686,x1687)
% 0.73/0.84 [169]P10(x1693,x1694,x1695,x1692,x1696,x1697)+~E(x1691,x1692)+~P10(x1693,x1694,x1695,x1691,x1696,x1697)
% 0.73/0.84 [170]P10(x1703,x1704,x1705,x1706,x1702,x1707)+~E(x1701,x1702)+~P10(x1703,x1704,x1705,x1706,x1701,x1707)
% 0.73/0.84 [171]P10(x1713,x1714,x1715,x1716,x1717,x1712)+~E(x1711,x1712)+~P10(x1713,x1714,x1715,x1716,x1717,x1711)
% 0.73/0.84 [172]P5(x1722,x1723,x1724,x1725)+~E(x1721,x1722)+~P5(x1721,x1723,x1724,x1725)
% 0.73/0.84 [173]P5(x1733,x1732,x1734,x1735)+~E(x1731,x1732)+~P5(x1733,x1731,x1734,x1735)
% 0.73/0.84 [174]P5(x1743,x1744,x1742,x1745)+~E(x1741,x1742)+~P5(x1743,x1744,x1741,x1745)
% 0.73/0.84 [175]P5(x1753,x1754,x1755,x1752)+~E(x1751,x1752)+~P5(x1753,x1754,x1755,x1751)
% 0.73/0.84
% 0.73/0.84 %-------------------------------------------
% 0.73/0.84 cnf(627,plain,
% 0.73/0.84 ($false),
% 0.73/0.84 inference(scs_inference,[],[274,250]),
% 0.73/0.84 ['proof']).
% 0.73/0.84 % SZS output end Proof
% 0.73/0.84 % Total time :0.030000s
%------------------------------------------------------------------------------