%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV900-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n002.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 : Wed May 29 18:16:21 EDT 2024

% Result   : Unsatisfiable 0.51s 0.93s
% Output   : Proof 0.51s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.19  % Problem    : SWV900-1 : TPTP v8.2.0. Released v4.1.0.
% 0.11/0.20  % Command    : do_cvc5 %s %d
% 0.19/0.41  % Computer : n002.cluster.edu
% 0.19/0.41  % Model    : x86_64 x86_64
% 0.19/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.41  % Memory   : 8042.1875MB
% 0.19/0.41  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.41  % CPULimit   : 300
% 0.19/0.41  % WCLimit    : 300
% 0.19/0.41  % DateTime   : Sun May 26 23:20:54 EDT 2024
% 0.19/0.41  % CPUTime    : 
% 0.50/0.69  %----Proving TF0_NAR, FOF, or CNF
% 0.50/0.70  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.51/0.93  % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.ALqfJmDhEi/cvc5---1.0.5_23211.smt2
% 0.51/0.93  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.ALqfJmDhEi/cvc5---1.0.5_23211.smt2
% 0.51/0.94  (assume a0 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_a V_a T_a) (tptp.c_Set_Oinsert V_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))
% 0.51/0.94  (assume a1 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oboolean__algebra T_a)) (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) (tptp.c_Orderings_Otop__class_Otop T_a))) (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) (tptp.c_Orderings_Obot__class_Obot T_a))) (= (tptp.c_HOL_Ouminus__class_Ouminus V_x T_a) V_y))))
% 0.51/0.94  (assume a2 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oinsert V_a (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.c_Set_Oinsert V_a V_A T_a))))
% 0.51/0.94  (assume a3 (forall ((T_a $$unsorted) (V_l $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost V_l V_u T_a) (tptp.c_SetInterval_Oord__class_OgreaterThan V_u T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.51/0.94  (assume a4 (forall ((T_a $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_SetInterval_Oord__class_OlessThan V_k T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OatLeast V_k T_a)))))
% 0.51/0.94  (assume a5 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_z T_a) T_a)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a) T_a))))))
% 0.51/0.94  (assume a6 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (= (tptp.c_SetInterval_Oord__class_OlessThan V_x T_a) (tptp.c_SetInterval_Oord__class_OlessThan V_y T_a))) (= V_x V_y))))
% 0.51/0.94  (assume a7 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_HOL_Ominus__class_Ominus V_B V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) V_B) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B))))))
% 0.51/0.94  (assume a8 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_x T_a)))))
% 0.51/0.94  (assume a9 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_x T_a)))))
% 0.51/0.94  (assume a10 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_B V_A (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a11 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_SetInterval_Oord__class_OatMost V_n T_a) (tptp.c_SetInterval_Oord__class_OatLeast V_n T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oinsert V_n (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))
% 0.51/0.94  (assume a12 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.hAPP V_f V_x) (tptp.c_Option_Ooption_OSome V_y T_a))) (= (tptp.c_Set_Oinsert V_x (tptp.c_Map_Odom V_f T_b T_a) T_b) (tptp.c_Map_Odom V_f T_b T_a)))))
% 0.51/0.94  (assume a13 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a))))))
% 0.51/0.94  (assume a14 (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c V_B T_a)) (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a))))))
% 0.51/0.94  (assume a15 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_z T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a) T_a)))))
% 0.51/0.94  (assume a16 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a) T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_z T_a) T_a)))))
% 0.51/0.94  (assume a17 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a) T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_z T_a) T_a)))))
% 0.51/0.94  (assume a18 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_z T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a) T_a)))))
% 0.51/0.94  (assume a19 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a20 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a21 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oboolean__algebra T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a) T_a)))))
% 0.51/0.94  (assume a22 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A (tptp.c_HOL_Ouminus__class_Ouminus V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a23 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= (tptp.c_Finite__Set_Olinorder__class_OMax (tptp.c_Set_Oinsert V_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a) V_a))))
% 0.51/0.94  (assume a24 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (= V_x_H V_y_H))))
% 0.51/0.94  (assume a25 (forall ((T_a $$unsorted) (V_xa $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_xa V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a))) (= V_xa V_y))))
% 0.51/0.94  (assume a26 (forall ((T_a $$unsorted) (V_a_H $$unsorted)) (not (= (tptp.c_Option_Ooption_ONone T_a) (tptp.c_Option_Ooption_OSome V_a_H T_a)))))
% 0.51/0.94  (assume a27 (forall ((T_a $$unsorted) (V_y $$unsorted)) (not (= (tptp.c_Option_Ooption_ONone T_a) (tptp.c_Option_Ooption_OSome V_y T_a)))))
% 0.51/0.94  (assume a28 (forall ((V_f $$unsorted) (V_x $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.c_in (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a) T_a))))
% 0.51/0.94  (assume a29 (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c0 $$unsorted) (V_Q $$unsorted) (V_U $$unsorted) (V_P_H $$unsorted) (V_Q_H $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Set_Oimage (tptp.c_COMBS (tptp.c_COMBS (tptp.c_COMBB (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.t_b) V_P (tptp.tc_fun tptp.t_b (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_fun tptp.tc_Com_Ocom (tptp.tc_fun (tptp.tc_fun tptp.t_b (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_b))) tptp.t_a) V_c0 tptp.t_a tptp.tc_Com_Ocom (tptp.tc_fun (tptp.tc_fun tptp.t_b (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_b))) V_Q tptp.t_a (tptp.tc_fun tptp.t_b (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_b)) V_U tptp.t_a (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_b)) tptp.t_b) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Set_Oimage (tptp.c_COMBS (tptp.c_COMBS (tptp.c_COMBB (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.t_b) V_P_H (tptp.tc_fun tptp.t_b (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_fun tptp.tc_Com_Ocom (tptp.tc_fun (tptp.tc_fun tptp.t_b (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_b))) tptp.t_a) V_c0 tptp.t_a tptp.tc_Com_Ocom (tptp.tc_fun (tptp.tc_fun tptp.t_b (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_b))) V_Q_H tptp.t_a (tptp.tc_fun tptp.t_b (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_b)) V_U tptp.t_a (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_b)) tptp.t_b)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.t_b) (tptp.hAPP V_P (tptp.v_sko__Hoare__Mirabelle__Xfinite__pointwise__1 V_G V_P V_P_H V_Q V_Q_H V_c0))) (tptp.hAPP V_c0 (tptp.v_sko__Hoare__Mirabelle__Xfinite__pointwise__1 V_G V_P V_P_H V_Q V_Q_H V_c0))) (tptp.hAPP V_Q (tptp.v_sko__Hoare__Mirabelle__Xfinite__pointwise__1 V_G V_P V_P_H V_Q V_Q_H V_c0))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_b) tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_b)) tptp.t_b)) (not (tptp.c_Finite__Set_Ofinite V_U tptp.t_a)))))
% 0.51/0.94  (assume a30 (forall ((V_G $$unsorted) (V_P $$unsorted) (V_c0 $$unsorted) (V_Q $$unsorted) (V_U $$unsorted) (V_P_H $$unsorted) (V_Q_H $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Set_Oimage (tptp.c_COMBS (tptp.c_COMBS (tptp.c_COMBB (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.t_b) V_P (tptp.tc_fun tptp.t_b (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_fun tptp.tc_Com_Ocom (tptp.tc_fun (tptp.tc_fun tptp.t_b (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_b))) tptp.t_a) V_c0 tptp.t_a tptp.tc_Com_Ocom (tptp.tc_fun (tptp.tc_fun tptp.t_b (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_b))) V_Q tptp.t_a (tptp.tc_fun tptp.t_b (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_b)) V_U tptp.t_a (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_b)) tptp.t_b) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Set_Oimage (tptp.c_COMBS (tptp.c_COMBS (tptp.c_COMBB (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.t_b) V_P_H (tptp.tc_fun tptp.t_b (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_fun tptp.tc_Com_Ocom (tptp.tc_fun (tptp.tc_fun tptp.t_b (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_b))) tptp.t_a) V_c0 tptp.t_a tptp.tc_Com_Ocom (tptp.tc_fun (tptp.tc_fun tptp.t_b (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_b))) V_Q_H tptp.t_a (tptp.tc_fun tptp.t_b (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_b)) V_U tptp.t_a (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_b)) tptp.t_b)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.t_b) (tptp.hAPP V_P_H (tptp.v_sko__Hoare__Mirabelle__Xfinite__pointwise__1 V_G V_P V_P_H V_Q V_Q_H V_c0))) (tptp.hAPP V_c0 (tptp.v_sko__Hoare__Mirabelle__Xfinite__pointwise__1 V_G V_P V_P_H V_Q V_Q_H V_c0))) (tptp.hAPP V_Q_H (tptp.v_sko__Hoare__Mirabelle__Xfinite__pointwise__1 V_G V_P V_P_H V_Q V_Q_H V_c0))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_b) tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_b)) tptp.t_b) (not (tptp.c_Finite__Set_Ofinite V_U tptp.t_a)))))
% 0.51/0.94  (assume a31 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_C V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_C V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a32 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_HOL_Ouminus__class_Ouminus V_A (tptp.tc_fun T_a tptp.tc_bool)) V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a33 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_HOL_Ouminus__class_Ouminus V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a34 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oboolean__algebra T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_HOL_Ouminus__class_Ouminus V_x T_a) V_x T_a) (tptp.c_Orderings_Otop__class_Otop T_a)))))
% 0.51/0.94  (assume a35 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oboolean__algebra T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_HOL_Ouminus__class_Ouminus V_x T_a) T_a) (tptp.c_Orderings_Otop__class_Otop T_a)))))
% 0.51/0.94  (assume a36 (forall ((V_x $$unsorted) (V_xa $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Set_Oinsert V_x V_xa T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (tptp.hBOOL (tptp.c_in V_x V_xa T_a)))))
% 0.51/0.94  (assume a37 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)) (tptp.hBOOL (tptp.c_in V_c V_B T_a)) (not (tptp.hBOOL (tptp.c_in V_c V_A T_a))))))
% 0.51/0.94  (assume a38 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)) (tptp.hBOOL (tptp.c_in V_c V_B T_a)) (not (tptp.hBOOL (tptp.c_in V_c V_A T_a))))))
% 0.51/0.94  (assume a39 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Ovimage V_f (tptp.c_HOL_Ouminus__class_Ouminus V_A (tptp.tc_fun T_b tptp.tc_bool)) T_a T_b) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_Set_Ovimage V_f V_A T_a T_b) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a40 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_x V_B T_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oinsert V_x V_A T_a)) V_B))))))
% 0.51/0.94  (assume a41 (forall ((T_a $$unsorted) (V_l $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost V_l V_u T_a) (tptp.c_SetInterval_Oord__class_OgreaterThan V_u T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OgreaterThan V_l T_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_l) V_u))))))
% 0.51/0.94  (assume a42 (forall ((V_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.c_Set_Oinsert V_y V_A T_a) V_x)) (not (tptp.hBOOL (tptp.hAPP V_A V_x))))))
% 0.51/0.94  (assume a43 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (= (tptp.c_Set_Oinsert (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f V_A T_a T_b) T_b) (tptp.c_Set_Oimage V_f V_A T_a T_b)) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))))))
% 0.51/0.94  (assume a44 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_x $$unsorted) (V_B $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.c_Set_Oinsert V_x V_B T_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B))) (tptp.hBOOL (tptp.c_in V_x V_A T_a)))))
% 0.51/0.94  (assume a45 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B)) (tptp.hBOOL (tptp.c_in V_x V_A T_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.c_Set_Oinsert V_x V_B T_a)))))))
% 0.51/0.94  (assume a46 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_x $$unsorted) (V_B $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.c_Set_Oinsert V_x V_B T_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B))) (tptp.hBOOL (tptp.c_in V_x V_A T_a)))))
% 0.51/0.94  (assume a47 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.c_Set_Oinsert V_x V_B T_a)))) (tptp.hBOOL (tptp.c_in V_x V_A T_a)))))
% 0.51/0.94  (assume a48 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (= (tptp.c_Set_Oinsert V_x V_A T_a) (tptp.c_Set_Oinsert V_x V_B T_a))) (tptp.hBOOL (tptp.c_in V_x V_B T_a)) (tptp.hBOOL (tptp.c_in V_x V_A T_a)) (= V_A V_B))))
% 0.51/0.94  (assume a49 (forall ((V_A $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (tptp.hBOOL (tptp.c_in V_a V_A T_a)))))
% 0.51/0.94  (assume a50 (forall ((V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Set_Oinsert V_a V_B T_a) V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_B V_C (tptp.tc_fun T_a tptp.tc_bool))) (tptp.hBOOL (tptp.c_in V_a V_C T_a)))))
% 0.51/0.94  (assume a51 (forall ((V_B $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_HOL_Ominus__class_Ominus V_B V_A (tptp.tc_fun T_a tptp.tc_bool)) V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_A (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a52 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_HOL_Ominus__class_Ominus V_B V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a53 (forall ((T_b $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (not (tptp.class_HOL_Ominus T_b)) (= (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun tptp.t_a T_b)) tptp.v_x) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP V_A tptp.v_x) (tptp.hAPP V_B tptp.v_x) T_b)))))
% 0.51/0.94  (assume a54 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_HOL_Ominus__class_Ominus V_A V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a55 (forall ((T_a $$unsorted) (V_l $$unsorted) (V_m $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost V_l V_m T_a) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost V_m V_u T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.51/0.94  (assume a56 (forall ((T_a $$unsorted) (V_l $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_SetInterval_Oord__class_OatMost V_l T_a) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost V_l V_u T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OatMost V_u T_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_l) V_u))))))
% 0.51/0.94  (assume a57 (forall ((V_a $$unsorted) (V_f $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_a (tptp.c_Set_Ovimage V_f V_B T_a T_b) T_a)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP V_f V_a) V_B T_b))))))
% 0.51/0.94  (assume a58 (forall ((V_a $$unsorted) (V_f $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_a (tptp.c_Set_Ovimage V_f V_A T_b T_a) T_b)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP V_f V_a) V_A T_a))))))
% 0.51/0.94  (assume a59 (forall ((V_a $$unsorted) (V_f $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_a (tptp.c_Set_Ovimage V_f V_B T_b T_a) T_b)) (not (tptp.hBOOL (tptp.c_in (tptp.hAPP V_f V_a) V_B T_a))))))
% 0.51/0.94  (assume a60 (forall ((V_f $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP V_f V_a) V_B T_b)) (not (tptp.hBOOL (tptp.c_in V_a (tptp.c_Set_Ovimage V_f V_B T_a T_b) T_a))))))
% 0.51/0.94  (assume a61 (forall ((V_f $$unsorted) (V_a $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP V_f V_a) V_A T_b)) (not (tptp.hBOOL (tptp.c_in V_a (tptp.c_Set_Ovimage V_f V_A T_a T_b) T_a))))))
% 0.51/0.94  (assume a62 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_a V_b T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a) T_a)))))
% 0.51/0.94  (assume a63 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_A (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a64 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_x T_a)))))
% 0.51/0.94  (assume a65 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_x T_a)))))
% 0.51/0.94  (assume a66 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_HOL_Ouminus__class_Ouminus V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ouminus__class_Ouminus V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a67 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oboolean__algebra T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_HOL_Ouminus__class_Ouminus V_x T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a) T_a)))))
% 0.51/0.94  (assume a68 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_Lattices_Olower__semilattice__class_Oinf V_a V_b T_a) T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a)))))
% 0.51/0.94  (assume a69 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Set_Oinsert V_a V_A T_a) V_A) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))))
% 0.51/0.94  (assume a70 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oinsert V_a V_A T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Oinsert V_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) V_A (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a71 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a72 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a)))))
% 0.51/0.94  (assume a73 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a)))))
% 0.51/0.94  (assume a74 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_HOL_Ouminus__class_Ouminus V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ouminus__class_Ouminus V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a75 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oboolean__algebra T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_HOL_Ouminus__class_Ouminus V_x T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a) T_a)))))
% 0.51/0.94  (assume a76 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_Lattices_Oupper__semilattice__class_Osup V_a V_b T_a) T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a)))))
% 0.51/0.94  (assume a77 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A (tptp.c_HOL_Ominus__class_Ominus V_B V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a78 (forall ((T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.class_Finite__Set_Ofinite_Ofinite T_a)) (tptp.c_Finite__Set_Ofinite V_A T_a))))
% 0.51/0.94  (assume a79 (forall ((T_a $$unsorted) (V_l $$unsorted) (V_m $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost V_l V_m T_a) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan V_m V_u T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.51/0.94  (assume a80 (forall ((V_f $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Ovimage V_f (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_b tptp.tc_bool)) T_a T_b) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Ovimage V_f V_A T_a T_b) (tptp.c_Set_Ovimage V_f V_B T_a T_b) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a81 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Complete__Lattice_Ocomplete__lattice T_a)) (= (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.c_Set_Oinsert V_a (tptp.c_Set_Oinsert V_b (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a) T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_a V_b T_a)))))
% 0.51/0.94  (assume a82 (forall ((V_c $$unsorted)) (= (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT V_c) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.tc_Com_Ostate) (tptp.c_fequal tptp.tc_Com_Ostate)) V_c) (tptp.c_Natural_Oevalc V_c)))))
% 0.51/0.94  (assume a83 (forall ((T_a $$unsorted) (V_l $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_l V_u T_a) (tptp.c_SetInterval_Oord__class_OgreaterThan V_u T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.51/0.94  (assume a84 (forall ((V_n $$unsorted) (V_P $$unsorted) (V_s $$unsorted) (V_s1 $$unsorted)) (or (= V_n (tptp.c_Suc (tptp.c_Natural_Osko__Natural__Xevaln__elim__cases__6__1 V_P V_n V_s V_s1))) (not (tptp.c_Natural_Oevaln (tptp.hAPP tptp.c_Com_Ocom_OBODY V_P) V_s V_n V_s1)))))
% 0.51/0.94  (assume a85 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_HOL_Ouminus__class_Ouminus V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a86 (forall ((T_a $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Set_Oinsert V_k (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.c_SetInterval_Oord__class_OlessThan V_k T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oinsert V_k (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))
% 0.51/0.94  (assume a87 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Set_Oinsert V_x V_A T_a) V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oinsert V_x (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)) (tptp.hBOOL (tptp.c_in V_x V_B T_a)))))
% 0.51/0.94  (assume a88 (forall ((V_B $$unsorted) (V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_B V_x)) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_x))))))
% 0.51/0.94  (assume a89 (forall ((V_A $$unsorted) (V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_A V_x)) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_x))))))
% 0.51/0.94  (assume a90 (forall ((T_a $$unsorted)) (or (not (tptp.class_Complete__Lattice_Ocomplete__lattice T_a)) (= (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.c_Orderings_Otop__class_Otop T_a)))))
% 0.51/0.94  (assume a91 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Set_Oinsert V_x V_A T_a) (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.hBOOL (tptp.c_in V_x V_A T_a)))))
% 0.51/0.94  (assume a92 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) V_C)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_C (tptp.tc_fun T_a tptp.tc_bool))))))))
% 0.51/0.94  (assume a93 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_C (tptp.tc_fun T_a tptp.tc_bool)))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) V_C))))))
% 0.51/0.94  (assume a94 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ouminus__class_Ouminus V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) V_A)))
% 0.51/0.94  (assume a95 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a) V_a))))
% 0.51/0.94  (assume a96 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oboolean__algebra T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ouminus__class_Ouminus V_x T_a) T_a) V_x))))
% 0.51/0.94  (assume a97 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= V_b (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a)))))
% 0.51/0.94  (assume a98 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= V_a (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) T_a)))))
% 0.51/0.94  (assume a99 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a) V_b))))
% 0.51/0.94  (assume a100 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) T_a) (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a)))))
% 0.51/0.94  (assume a101 (forall ((V_f $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Ovimage V_f (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_b tptp.tc_bool)) T_a T_b) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Set_Ovimage V_f V_A T_a T_b) (tptp.c_Set_Ovimage V_f V_B T_a T_b) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a102 (forall ((V_F $$unsorted) (V_G $$unsorted) (T_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Olower__semilattice__class_Oinf V_F V_G (tptp.tc_fun T_a tptp.tc_bool)) T_a) (not (tptp.c_Finite__Set_Ofinite V_G T_a)))))
% 0.51/0.94  (assume a103 (forall ((V_F $$unsorted) (V_G $$unsorted) (T_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Olower__semilattice__class_Oinf V_F V_G (tptp.tc_fun T_a tptp.tc_bool)) T_a) (not (tptp.c_Finite__Set_Ofinite V_F T_a)))))
% 0.51/0.94  (assume a104 (forall ((V_c $$unsorted) (V_s $$unsorted) (V_t $$unsorted) (V_n $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc V_c) V_s) V_t)) (not (tptp.c_Natural_Oevaln V_c V_s V_n V_t)))))
% 0.51/0.94  (assume a105 (forall ((V_c $$unsorted) (V_s $$unsorted) (V_t $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc V_c) V_s) V_t)) (not (tptp.c_Natural_Oevaln V_c V_s V_x V_t)))))
% 0.51/0.94  (assume a106 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_y) V_x)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_y_H) V_x_H))))))
% 0.51/0.94  (assume a107 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_y_H) V_x_H)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_y) V_x))))))
% 0.51/0.94  (assume a108 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_a) V_x)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_a V_b T_a)) V_x))))))
% 0.51/0.94  (assume a109 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_b) V_x)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_a V_b T_a)) V_x))))))
% 0.51/0.94  (assume a110 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_a V_b T_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) V_a))))))
% 0.51/0.94  (assume a111 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_a V_b T_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) V_b))))))
% 0.51/0.94  (assume a112 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) V_z)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a)) V_z))))))
% 0.51/0.94  (assume a113 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_y) V_z)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a)) V_z))))))
% 0.51/0.94  (assume a114 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Otop T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) (tptp.c_Orderings_Otop__class_Otop T_a))))))
% 0.51/0.94  (assume a115 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a)) V_x)))))
% 0.51/0.94  (assume a116 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a)) V_y)))))
% 0.51/0.94  (assume a117 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_a V_b T_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) V_b))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) V_a))))))
% 0.51/0.94  (assume a118 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_z T_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) V_z))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) V_y))))))
% 0.51/0.94  (assume a119 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_z T_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) V_z))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) V_y))))))
% 0.51/0.94  (assume a120 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a)) V_y)))))
% 0.51/0.94  (assume a121 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a)) V_x)))))
% 0.51/0.94  (assume a122 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_y) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) V_y))))))
% 0.51/0.94  (assume a123 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_y)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) V_y)))))
% 0.51/0.94  (assume a124 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_x) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_y) V_x))))))
% 0.51/0.94  (assume a125 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a)) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_a) V_b))))))
% 0.51/0.94  (assume a126 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_a) V_b)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a)) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a)))))))
% 0.51/0.94  (assume a127 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) V_x) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) V_y))))))
% 0.51/0.94  (assume a128 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) V_x)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) V_y)))))
% 0.51/0.94  (assume a129 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) V_y) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_y) V_x))))))
% 0.51/0.94  (assume a130 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_a V_b T_a)) V_x)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_b) V_x))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_a) V_x))))))
% 0.51/0.94  (assume a131 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a132 (forall ((V_P $$unsorted) (V_Q $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (T_a $$unsorted) (V_R $$unsorted)) (= (tptp.hAPP (tptp.c_COMBS V_P V_Q T_b T_c T_a) V_R) (tptp.hAPP (tptp.hAPP V_P V_R) (tptp.hAPP V_Q V_R)))))
% 0.51/0.94  (assume a133 (forall ((V_P $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_Q $$unsorted)) (= (tptp.hAPP (tptp.c_COMBK V_P T_a T_b) V_Q) V_P)))
% 0.51/0.94  (assume a134 (forall ((V_S $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_S V_x)) (not (tptp.hBOOL (tptp.c_in V_x V_S T_a))))))
% 0.51/0.94  (assume a135 (forall ((V_x $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_x V_S T_a)) (not (tptp.hBOOL (tptp.hAPP V_S V_x))))))
% 0.51/0.94  (assume a136 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oinsert V_x (tptp.c_Set_Oinsert V_y V_A T_a) T_a) (tptp.c_Set_Oinsert V_y (tptp.c_Set_Oinsert V_x V_A T_a) T_a))))
% 0.51/0.94  (assume a137 (forall ((T_a $$unsorted) (V_l $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_l V_u T_a) (tptp.c_SetInterval_Oord__class_OgreaterThan V_u T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OatLeast V_l T_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_l) V_u))))))
% 0.51/0.94  (assume a138 (forall ((T_a $$unsorted) (V_l $$unsorted) (V_m $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_l V_m T_a) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost V_m V_u T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_l V_u T_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_m) V_u))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_l) V_m))))))
% 0.51/0.94  (assume a139 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.c_in V_x (tptp.c_Set_Oinsert V_x V_B T_a) T_a))))
% 0.51/0.94  (assume a140 (forall ((V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.c_in V_a (tptp.c_Set_Oinsert V_a V_B T_a) T_a))))
% 0.51/0.94  (assume a141 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.c_in V_x (tptp.c_Set_Oinsert V_x V_A T_a) T_a))))
% 0.51/0.94  (assume a142 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_x T_a) V_x))))
% 0.51/0.94  (assume a143 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_A (tptp.tc_fun T_a tptp.tc_bool)) V_A)))
% 0.51/0.94  (assume a144 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Odistrib__lattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a) V_x T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_x T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_z V_x T_a) T_a)))))
% 0.51/0.94  (assume a145 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Odistrib__lattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a) T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_z T_a) T_a)))))
% 0.51/0.94  (assume a146 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a147 (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Olower__semilattice__class_Oinf V_B V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_C V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a148 (forall ((T_b $$unsorted) (V_f $$unsorted) (V_g $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_b)) (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup V_f V_g (tptp.tc_fun tptp.t_a T_b)) tptp.v_x) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.hAPP V_f tptp.v_x) (tptp.hAPP V_g tptp.v_x) T_b)))))
% 0.51/0.94  (assume a149 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (= (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_A))))
% 0.51/0.94  (assume a150 (forall ((T_a $$unsorted) (V_l $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Oinsert V_l (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost V_l V_u T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_l V_u T_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_l) V_u))))))
% 0.51/0.94  (assume a151 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (or (= V_b V_a) (not (tptp.hBOOL (tptp.c_in V_b (tptp.c_Set_Oinsert V_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a))))))
% 0.51/0.94  (assume a152 (forall ((T_a $$unsorted) (V_l $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_SetInterval_Oord__class_OatLeastLessThan V_l V_u T_a) (tptp.c_Set_Oinsert V_u (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_l V_u T_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_l) V_u))))))
% 0.51/0.94  (assume a153 (forall ((V_c $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_A $$unsorted) (V_x $$unsorted)) (or (= (tptp.c_Set_Oimage (tptp.c_COMBK V_c T_b T_a) V_A T_a T_b) (tptp.c_Set_Oinsert V_c (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool)) T_b)) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))))))
% 0.51/0.94  (assume a154 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_x $$unsorted) (V_B $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool))) V_B)) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.c_Set_Oinsert V_x V_B T_a)))))))
% 0.51/0.94  (assume a155 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_x $$unsorted) (V_B $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.c_Set_Oinsert V_x V_B T_a))) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool))) V_B))))))
% 0.51/0.94  (assume a156 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_x $$unsorted) (V_B $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.c_Set_Oinsert V_x V_B T_a))) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool))) V_B))))))
% 0.51/0.94  (assume a157 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Set_Oinsert V_x V_A T_a) V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.hBOOL (tptp.c_in V_x V_B T_a))))))
% 0.51/0.94  (assume a158 (forall ((T_a $$unsorted) (V_l $$unsorted) (V_m $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_SetInterval_Oord__class_OatLeastLessThan V_l V_m T_a) (tptp.c_SetInterval_Oord__class_OatLeastLessThan V_m V_u T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.51/0.94  (assume a159 (forall ((T_a $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_SetInterval_Oord__class_OatLeast V_k T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OlessThan V_k T_a)))))
% 0.51/0.94  (assume a160 (forall ((V_f $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_A $$unsorted)) (or (not (= (tptp.hAPP V_f V_x) (tptp.c_Option_Ooption_ONone T_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Map_Odom V_f T_b T_a) (tptp.c_Set_Oinsert V_x V_A T_b) (tptp.tc_fun T_b tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Map_Odom V_f T_b T_a) V_A (tptp.tc_fun T_b tptp.tc_bool))))))
% 0.51/0.94  (assume a161 (forall ((T_a $$unsorted) (V_l $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_SetInterval_Oord__class_OatLeastLessThan V_l V_u T_a) (tptp.c_SetInterval_Oord__class_OatLeast V_u T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.51/0.94  (assume a162 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_c V_A T_a))) (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_HOL_Ouminus__class_Ouminus V_A (tptp.tc_fun T_a tptp.tc_bool)) T_a))))))
% 0.51/0.94  (assume a163 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c (tptp.c_HOL_Ouminus__class_Ouminus V_A (tptp.tc_fun T_a tptp.tc_bool)) T_a)) (tptp.hBOOL (tptp.c_in V_c V_A T_a)))))
% 0.51/0.94  (assume a164 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oboolean__algebra T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x (tptp.c_HOL_Ouminus__class_Ouminus V_x T_a) T_a) (tptp.c_Orderings_Obot__class_Obot T_a)))))
% 0.51/0.94  (assume a165 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oboolean__algebra T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_HOL_Ouminus__class_Ouminus V_x T_a) V_x T_a) (tptp.c_Orderings_Obot__class_Obot T_a)))))
% 0.51/0.94  (assume a166 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A (tptp.c_HOL_Ouminus__class_Ouminus V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a167 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_HOL_Ouminus__class_Ouminus V_A (tptp.tc_fun T_a tptp.tc_bool)) V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a168 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 0.51/0.94  (assume a169 (forall ((V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Oinsert V_a V_B T_a) V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oinsert V_a (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) T_a))))
% 0.51/0.94  (assume a170 (forall ((V_A $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oinsert V_a (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a))))
% 0.51/0.94  (assume a171 (forall ((V_f $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Ovimage V_f (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_b tptp.tc_bool)) T_a T_b) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Set_Ovimage V_f V_A T_a T_b) (tptp.c_Set_Ovimage V_f V_B T_a T_b) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a172 (forall ((T_a $$unsorted) (V_l $$unsorted) (V_m $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost V_l V_m T_a) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost V_m V_u T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost V_l V_u T_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_m) V_u))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_l) V_m))))))
% 0.51/0.94  (assume a173 (forall ((T_a $$unsorted) (V_l $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_SetInterval_Oord__class_OatMost V_l T_a) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost V_l V_u T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.51/0.94  (assume a174 (forall ((V_f $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Ovimage V_f (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_bool)) T_a T_b) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a175 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.class_Complete__Lattice_Ocomplete__lattice T_a)) (= (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.c_Set_Oinsert V_a V_A T_a) T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_a (tptp.c_Complete__Lattice_OSup__class_OSup V_A T_a) T_a)))))
% 0.51/0.94  (assume a176 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Obounded__lattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Orderings_Otop__class_Otop T_a) T_a) (tptp.c_Orderings_Otop__class_Otop T_a)))))
% 0.51/0.94  (assume a177 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Obounded__lattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Orderings_Otop__class_Otop T_a) V_x T_a) (tptp.c_Orderings_Otop__class_Otop T_a)))))
% 0.51/0.94  (assume a178 (forall ((T_a $$unsorted) (V_B $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a179 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a180 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_HOL_Ouminus__class_Ouminus V_A (tptp.tc_fun T_a tptp.tc_bool)) V_B (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a181 (forall ((V_A $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oinsert V_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a182 (forall ((V_A $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool)) V_B (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a183 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_Finite__Set_Ofinite V_A T_a) (not (tptp.c_Finite__Set_Ofinite (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)) (not (tptp.c_Finite__Set_Ofinite V_B T_a)))))
% 0.51/0.94  (assume a184 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a) (not (tptp.c_Finite__Set_Ofinite V_A T_a)) (not (tptp.c_Finite__Set_Ofinite V_B T_a)))))
% 0.51/0.94  (assume a185 (forall ((V_a $$unsorted) (V_f $$unsorted) (T_a $$unsorted) (T_aa $$unsorted)) (tptp.hBOOL (tptp.c_in V_a (tptp.c_Set_Ovimage V_f (tptp.c_Set_Oinsert (tptp.hAPP V_f V_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_aa T_a) T_aa))))
% 0.51/0.94  (assume a186 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Set_Oinsert V_a V_A T_a) (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oinsert V_a (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a))))
% 0.51/0.94  (assume a187 (forall ((V_n $$unsorted) (V_t $$unsorted) (T_a $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Otriple__valid V_n V_t T_a) (not (tptp.c_Hoare__Mirabelle_Otriple__valid (tptp.c_Suc V_n) V_t T_a)))))
% 0.51/0.94  (assume a188 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (= (tptp.c_SetInterval_Oord__class_OgreaterThan V_x T_a) (tptp.c_SetInterval_Oord__class_OgreaterThan V_y T_a))) (= V_x V_y))))
% 0.51/0.94  (assume a189 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oinsert V_x (tptp.c_Set_Oinsert V_x V_A T_a) T_a) (tptp.c_Set_Oinsert V_x V_A T_a))))
% 0.51/0.94  (assume a190 (forall ((V_f $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (tptp.c_Map_Omap__le V_f V_f T_a T_b)))
% 0.51/0.94  (assume a191 (forall ((V_m1 $$unsorted) (V_m3 $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_m2 $$unsorted)) (or (tptp.c_Map_Omap__le V_m1 V_m3 T_a T_b) (not (tptp.c_Map_Omap__le V_m2 V_m3 T_a T_b)) (not (tptp.c_Map_Omap__le V_m1 V_m2 T_a T_b)))))
% 0.51/0.94  (assume a192 (forall ((V_A $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_A V_x)) (= V_y V_x) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Set_Oinsert V_y V_A T_a) V_x))))))
% 0.51/0.94  (assume a193 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a))))))
% 0.51/0.94  (assume a194 (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_c V_B T_a))) (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a))))))
% 0.51/0.94  (assume a195 (forall ((T_a $$unsorted) (V_k $$unsorted) (V_i $$unsorted)) (or (not (tptp.class_HOL_Oord T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_k) V_i)) (not (tptp.hBOOL (tptp.c_in V_i (tptp.c_SetInterval_Oord__class_OatLeast V_k T_a) T_a))))))
% 0.51/0.94  (assume a196 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_HOL_Oord T_a)) (tptp.hBOOL (tptp.c_in V_i (tptp.c_SetInterval_Oord__class_OatLeast V_k T_a) T_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_k) V_i))))))
% 0.51/0.94  (assume a197 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite V_A T_a) (not (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oinsert V_a V_A T_a) T_a)))))
% 0.51/0.94  (assume a198 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oinsert V_a V_A T_a) T_a) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 0.51/0.94  (assume a199 (forall ((T_a $$unsorted) (V_l $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan V_l V_u T_a) (tptp.c_SetInterval_Oord__class_OatLeast V_u T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.51/0.94  (assume a200 (forall ((V_m_092_060_094isub_0621 $$unsorted) (V_x $$unsorted) (V_m_092_060_094isub_0622 $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (= (tptp.hAPP V_m_092_060_094isub_0621 V_x) (tptp.hAPP V_m_092_060_094isub_0622 V_x)) (not (tptp.hBOOL (tptp.c_in V_x (tptp.c_Map_Odom V_m_092_060_094isub_0621 T_a T_b) T_a))) (not (tptp.c_Map_Omap__le V_m_092_060_094isub_0621 V_m_092_060_094isub_0622 T_a T_b)))))
% 0.51/0.94  (assume a201 (forall ((V_F $$unsorted) (V_G $$unsorted) (T_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Oupper__semilattice__class_Osup V_F V_G (tptp.tc_fun T_a tptp.tc_bool)) T_a) (not (tptp.c_Finite__Set_Ofinite V_G T_a)) (not (tptp.c_Finite__Set_Ofinite V_F T_a)))))
% 0.51/0.94  (assume a202 (forall ((V_F $$unsorted) (V_G $$unsorted) (T_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Oupper__semilattice__class_Osup V_F V_G (tptp.tc_fun T_a tptp.tc_bool)) T_a) (not (tptp.c_Finite__Set_Ofinite V_G T_a)) (not (tptp.c_Finite__Set_Ofinite V_F T_a)))))
% 0.51/0.94  (assume a203 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_C) V_A)))))
% 0.51/0.94  (assume a204 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_C) V_A))))))
% 0.51/0.94  (assume a205 (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.c_in V_x (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) T_a))))
% 0.51/0.94  (assume a206 (forall ((V_a_H $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_Option_Ooption_OSome V_a_H T_a) (tptp.c_Option_Ooption_ONone T_a)))))
% 0.51/0.94  (assume a207 (forall ((V_xa $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_Option_Ooption_OSome V_xa T_a) (tptp.c_Option_Ooption_ONone T_a)))))
% 0.51/0.94  (assume a208 (forall ((V_a $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted)) (or (not (= (tptp.c_Option_Ooption_OSome V_a T_a) (tptp.c_Option_Ooption_OSome V_a_H T_a))) (= V_a V_a_H))))
% 0.51/0.94  (assume a209 (forall ((V_m $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.hAPP V_m V_a) (tptp.c_Option_Ooption_OSome V_b T_a))) (tptp.hBOOL (tptp.c_in V_a (tptp.c_Map_Odom V_m T_b T_a) T_b)))))
% 0.51/0.94  (assume a210 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_HOL_Ouminus__class_Ouminus V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) V_A (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a211 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_Suc V_x) (tptp.c_Suc V_y))) (= V_x V_y))))
% 0.51/0.94  (assume a212 (forall ((V_nat $$unsorted) (V_nat_H $$unsorted)) (or (not (= (tptp.c_Suc V_nat) (tptp.c_Suc V_nat_H))) (= V_nat V_nat_H))))
% 0.51/0.94  (assume a213 (forall ((V_B $$unsorted) (V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_B V_x)) (tptp.hBOOL (tptp.hAPP V_A V_x)) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_x))))))
% 0.51/0.94  (assume a214 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_x)) (not (tptp.hBOOL (tptp.hAPP V_B V_x))))))
% 0.51/0.94  (assume a215 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_x)) (not (tptp.hBOOL (tptp.hAPP V_A V_x))))))
% 0.51/0.94  (assume a216 (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c V_B T_a)) (tptp.hBOOL (tptp.c_in V_c V_A T_a)) (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a))))))
% 0.51/0.94  (assume a217 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) V_z T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_z T_a) T_a)))))
% 0.51/0.94  (assume a218 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_z T_a) T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_z T_a) T_a)))))
% 0.51/0.94  (assume a219 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_z T_a) T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_z T_a) T_a)))))
% 0.51/0.94  (assume a220 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) V_z T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_z T_a) T_a)))))
% 0.51/0.94  (assume a221 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A (tptp.c_Lattices_Olower__semilattice__class_Oinf V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a222 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A (tptp.c_Lattices_Olower__semilattice__class_Oinf V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_B (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a223 (forall ((T_a $$unsorted) (V_l $$unsorted) (V_m $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_SetInterval_Oord__class_OatLeastLessThan V_l V_m T_a) (tptp.c_SetInterval_Oord__class_OatLeastLessThan V_m V_u T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OatLeastLessThan V_l V_u T_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_m) V_u))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_l) V_m))))))
% 0.51/0.94  (assume a224 (forall ((V_m $$unsorted) (V_a $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.hAPP V_m V_a) (tptp.c_Option_Ooption_ONone T_b))) (not (tptp.hBOOL (tptp.c_in V_a (tptp.c_Map_Odom V_m T_a T_b) T_a))))))
% 0.51/0.94  (assume a225 (forall ((V_a $$unsorted) (V_m $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_a (tptp.c_Map_Odom V_m T_a T_b) T_a)) (= (tptp.hAPP V_m V_a) (tptp.c_Option_Ooption_ONone T_b)))))
% 0.51/0.94  (assume a226 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= (tptp.c_Finite__Set_Olinorder__class_OMin (tptp.c_Set_Oinsert V_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a) V_a))))
% 0.51/0.94  (assume a227 (forall ((V_F $$unsorted) (T_a $$unsorted) (V_G $$unsorted)) (or (tptp.c_Finite__Set_Ofinite V_F T_a) (not (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Oupper__semilattice__class_Osup V_F V_G (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))
% 0.51/0.94  (assume a228 (forall ((V_G $$unsorted) (T_a $$unsorted) (V_F $$unsorted)) (or (tptp.c_Finite__Set_Ofinite V_G T_a) (not (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Oupper__semilattice__class_Osup V_F V_G (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))
% 0.51/0.94  (assume a229 (forall ((T_a $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_SetInterval_Oord__class_OatMost V_k T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OgreaterThan V_k T_a)))))
% 0.51/0.94  (assume a230 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (not (tptp.class_Lattices_Obounded__lattice T_a)) (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B T_a) (tptp.c_Orderings_Otop__class_Otop T_a))) (= V_B (tptp.c_Orderings_Otop__class_Otop T_a)))))
% 0.51/0.94  (assume a231 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a))))))
% 0.51/0.94  (assume a232 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_y) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a))))))
% 0.51/0.94  (assume a233 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a)) V_x)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_z) V_x))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_y) V_x))))))
% 0.51/0.94  (assume a234 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a)) V_z)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_y) V_z))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) V_z))))))
% 0.51/0.94  (assume a235 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_y) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a))))))
% 0.51/0.94  (assume a236 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a))))))
% 0.51/0.94  (assume a237 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) V_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_a V_b T_a)))))))
% 0.51/0.94  (assume a238 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) V_b)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_a V_b T_a)))))))
% 0.51/0.94  (assume a239 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_a V_b T_a)) V_x)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_a) V_x))))))
% 0.51/0.94  (assume a240 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_a V_b T_a)) V_x)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_b) V_x))))))
% 0.51/0.94  (assume a241 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) V_y)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_z T_a)))))))
% 0.51/0.94  (assume a242 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) V_z)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_z T_a)))))))
% 0.51/0.94  (assume a243 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_b) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_a) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a)))))))
% 0.51/0.94  (assume a244 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_a) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_b) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a)))))))
% 0.51/0.94  (assume a245 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a)) V_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a)) V_b))))))
% 0.51/0.94  (assume a246 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a)) V_b)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a)) V_a))))))
% 0.51/0.94  (assume a247 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Obounded__lattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Orderings_Obot__class_Obot T_a) V_x T_a) V_x))))
% 0.51/0.94  (assume a248 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Obounded__lattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Orderings_Obot__class_Obot T_a) T_a) V_x))))
% 0.51/0.94  (assume a249 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Obounded__lattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Orderings_Obot__class_Obot T_a) V_x T_a) (tptp.c_Orderings_Obot__class_Obot T_a)))))
% 0.51/0.94  (assume a250 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Obounded__lattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x (tptp.c_Orderings_Obot__class_Obot T_a) T_a) (tptp.c_Orderings_Obot__class_Obot T_a)))))
% 0.51/0.94  (assume a251 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (not (tptp.class_Lattices_Obounded__lattice T_a)) (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B T_a) (tptp.c_Orderings_Obot__class_Obot T_a))) (= V_A (tptp.c_Orderings_Obot__class_Obot T_a)))))
% 0.51/0.94  (assume a252 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (not (tptp.class_Lattices_Obounded__lattice T_a)) (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B T_a) (tptp.c_Orderings_Obot__class_Obot T_a))) (= V_B (tptp.c_Orderings_Obot__class_Obot T_a)))))
% 0.51/0.94  (assume a253 (forall ((V_f $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Ovimage V_f (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool)) T_a T_b) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a254 (forall ((T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a255 (forall ((V_x $$unsorted) (T_a $$unsorted)) (not (tptp.hBOOL (tptp.c_in V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))
% 0.51/0.94  (assume a256 (forall ((V_P $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_x)) (not (tptp.hBOOL (tptp.c_in V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a))))))
% 0.51/0.94  (assume a257 (forall ((V_c $$unsorted) (T_a $$unsorted)) (not (tptp.hBOOL (tptp.c_in V_c (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))
% 0.51/0.94  (assume a258 (forall ((V_a $$unsorted) (T_a $$unsorted)) (not (tptp.hBOOL (tptp.c_in V_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))
% 0.51/0.94  (assume a259 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_A $$unsorted)) (not (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oinsert V_a V_A T_a)))))
% 0.51/0.94  (assume a260 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (= (tptp.c_Set_Oinsert V_a (tptp.c_Set_Oinsert V_b (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a) (tptp.c_Set_Oinsert V_c (tptp.c_Set_Oinsert V_d (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a))) (= V_b V_c) (= V_b V_d))))
% 0.51/0.94  (assume a261 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (= (tptp.c_Set_Oinsert V_a (tptp.c_Set_Oinsert V_b (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a) (tptp.c_Set_Oinsert V_c (tptp.c_Set_Oinsert V_d (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a))) (= V_a V_d) (= V_b V_d))))
% 0.51/0.94  (assume a262 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (= (tptp.c_Set_Oinsert V_a (tptp.c_Set_Oinsert V_b (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a) (tptp.c_Set_Oinsert V_c (tptp.c_Set_Oinsert V_d (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a))) (= V_b V_c) (= V_a V_c))))
% 0.51/0.94  (assume a263 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (= (tptp.c_Set_Oinsert V_a (tptp.c_Set_Oinsert V_b (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a) (tptp.c_Set_Oinsert V_c (tptp.c_Set_Oinsert V_d (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a))) (= V_a V_d) (= V_a V_c))))
% 0.51/0.94  (assume a264 (forall ((T_a $$unsorted)) (not (= (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.51/0.94  (assume a265 (forall ((T_a $$unsorted) (V_A $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a266 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) V_A)))
% 0.51/0.94  (assume a267 (forall ((T_a $$unsorted) (V_B $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) V_B (tptp.tc_fun T_a tptp.tc_bool)) V_B)))
% 0.51/0.94  (assume a268 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_A V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a269 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) V_A)))
% 0.51/0.94  (assume a270 (forall ((T_a $$unsorted)) (tptp.c_Finite__Set_Ofinite (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a)))
% 0.51/0.94  (assume a271 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a272 (forall ((T_a $$unsorted) (V_B $$unsorted)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a273 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_Set_Oinsert V_a V_A T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.51/0.94  (assume a274 (forall ((V_xa $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oinsert V_xa (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a) (tptp.c_Set_Oinsert V_x (tptp.c_Set_Oinsert V_xa (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a))))
% 0.51/0.94  (assume a275 (forall ((V_a $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (or (not (= (tptp.c_Set_Oinsert V_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.c_Set_Oinsert V_b (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a))) (= V_a V_b))))
% 0.51/0.94  (assume a276 (forall ((V_P $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P V_x))) (not (tptp.hBOOL (tptp.c_in V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a))))))
% 0.51/0.94  (assume a277 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (= V_B (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.51/0.94  (assume a278 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.51/0.94  (assume a279 (forall ((V_f $$unsorted) (V_g $$unsorted) (T_a $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage (tptp.c_COMBB V_f V_g T_a T_c T_b) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_bool)) T_b T_c) T_c) (not (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage V_g (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a) T_a)))))
% 0.51/0.94  (assume a280 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_x $$unsorted) (V_B $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.c_Set_Oinsert V_x V_B T_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool))) V_B))))))
% 0.51/0.94  (assume a281 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.c_HOL_Ouminus__class_Ouminus V_B (tptp.tc_fun T_a tptp.tc_bool))))))))
% 0.51/0.94  (assume a282 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.c_HOL_Ouminus__class_Ouminus V_B (tptp.tc_fun T_a tptp.tc_bool)))))))
% 0.51/0.94  (assume a283 (forall ((V_c $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_A $$unsorted)) (or (= (tptp.c_Set_Oimage (tptp.c_COMBK V_c T_a T_b) V_A T_b T_a) (tptp.c_Set_Oinsert V_c (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a)) (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool))))))
% 0.51/0.94  (assume a284 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_C $$unsorted) (V_D $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oinsert V_a V_C T_a)) (tptp.c_Set_Oinsert V_a V_D T_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_C) V_D))))))
% 0.51/0.94  (assume a285 (forall ((V_B $$unsorted) (V_C $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus V_B (tptp.c_HOL_Ominus__class_Ominus V_C V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) V_A) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_C))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B))))))
% 0.51/0.94  (assume a286 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (V_D $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_C V_D (tptp.tc_fun T_a tptp.tc_bool)))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_D))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_C))))))
% 0.51/0.94  (assume a287 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_Finite__Set_Ofinite V_A T_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B))) (not (tptp.c_Finite__Set_Ofinite V_B T_a)))))
% 0.51/0.94  (assume a288 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_Finite__Set_Ofinite V_A T_a) (not (tptp.c_Finite__Set_Ofinite V_B T_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B))))))
% 0.51/0.94  (assume a289 (forall ((V_t $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_t V_B T_a)) (not (tptp.hBOOL (tptp.c_in V_t V_A T_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B))))))
% 0.51/0.94  (assume a290 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_x V_B T_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B))) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))))))
% 0.51/0.94  (assume a291 (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c V_B T_a)) (not (tptp.hBOOL (tptp.c_in V_c V_A T_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B))))))
% 0.51/0.94  (assume a292 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_x V_B T_a)) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B))))))
% 0.51/0.94  (assume a293 (forall ((T_a $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_C)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) V_C))))))
% 0.51/0.94  (assume a294 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_C $$unsorted) (V_B $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_C)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) V_C))))))
% 0.51/0.94  (assume a295 (forall ((T_a $$unsorted) (V_A $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.51/0.94  (assume a296 (forall ((T_a $$unsorted) (V_C $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_C) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_C) V_B))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_C) V_A))))))
% 0.51/0.94  (assume a297 (forall ((T_a $$unsorted) (V_C $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_C) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_C) V_B))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_C) V_A))))))
% 0.51/0.94  (assume a298 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) V_B))))
% 0.51/0.94  (assume a299 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) V_A))))
% 0.51/0.94  (assume a300 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (V_D $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_C V_D (tptp.tc_fun T_a tptp.tc_bool)))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_D))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_C))))))
% 0.51/0.94  (assume a301 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_B)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B)))))
% 0.51/0.94  (assume a302 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_A) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_A))))))
% 0.51/0.94  (assume a303 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_B) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B))))))
% 0.51/0.94  (assume a304 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (V_D $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_HOL_Ominus__class_Ominus V_C V_D (tptp.tc_fun T_a tptp.tc_bool)))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_D) V_B))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_C))))))
% 0.51/0.94  (assume a305 (forall ((T_a $$unsorted) (V_B $$unsorted) (V_a $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_B) (tptp.c_Set_Oinsert V_a V_B T_a)))))
% 0.51/0.94  (assume a306 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ouminus__class_Ouminus V_A (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_HOL_Ouminus__class_Ouminus V_B (tptp.tc_fun T_a tptp.tc_bool)))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_A))))))
% 0.51/0.94  (assume a307 (forall ((T_a $$unsorted) (V_B $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_A)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ouminus__class_Ouminus V_A (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_HOL_Ouminus__class_Ouminus V_B (tptp.tc_fun T_a tptp.tc_bool))))))))
% 0.51/0.94  (assume a308 (forall ((T_a $$unsorted) (V_B $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ouminus__class_Ouminus V_B (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_HOL_Ouminus__class_Ouminus V_A (tptp.tc_fun T_a tptp.tc_bool)))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B))))))
% 0.51/0.94  (assume a309 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_b $$unsorted) (V_B $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.c_Set_Oinsert V_b V_B T_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B))))))
% 0.51/0.94  (assume a310 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oinsert V_x V_A T_a)) V_B))))))
% 0.51/0.94  (assume a311 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_A) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B))))))
% 0.51/0.94  (assume a312 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_B) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_A))))))
% 0.51/0.94  (assume a313 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) V_C)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_C))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_C))))))
% 0.51/0.94  (assume a314 (forall ((T_a $$unsorted) (V_B $$unsorted) (V_A $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_B) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.51/0.94  (assume a315 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.51/0.94  (assume a316 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) V_C)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_C))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_C))))))
% 0.51/0.94  (assume a317 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) V_A))))
% 0.51/0.94  (assume a318 (forall ((T_b $$unsorted) (V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_b tptp.tc_bool)) (tptp.c_Set_Ovimage V_f V_A T_b T_a)) (tptp.c_Set_Ovimage V_f V_B T_b T_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B))))))
% 0.51/0.94  (assume a319 (forall ((T_a $$unsorted) (V_C $$unsorted) (V_B $$unsorted) (V_A $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_C) V_B)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_C) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))))
% 0.51/0.94  (assume a320 (forall ((T_a $$unsorted) (V_C $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_C) V_A)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_C) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))))
% 0.51/0.94  (assume a321 (forall ((V_f $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oimage V_f (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Oimage V_f V_A T_b T_a) (tptp.c_Set_Oimage V_f V_B T_b T_a) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a322 (forall ((V_f $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oimage V_f (tptp.c_Set_Oinsert V_a V_B T_b) T_b T_a) (tptp.c_Set_Oinsert (tptp.hAPP V_f V_a) (tptp.c_Set_Oimage V_f V_B T_b T_a) T_a))))
% 0.51/0.94  (assume a323 (forall ((V_h $$unsorted) (V_F $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage V_h V_F T_a T_b) T_b) (not (tptp.c_Finite__Set_Ofinite V_F T_a)))))
% 0.51/0.94  (assume a324 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_aa $$unsorted) (V_f $$unsorted) (T_a $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_x V_A T_aa))) (tptp.hBOOL (tptp.c_in (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f V_A T_aa T_a) T_a)))))
% 0.51/0.94  (assume a325 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (T_a $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_x V_A T_b))) (tptp.hBOOL (tptp.c_in (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f V_A T_b T_a) T_a)))))
% 0.51/0.94  (assume a326 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f V_A T_b T_a) T_a)) (not (tptp.hBOOL (tptp.c_in V_x V_A T_b))))))
% 0.51/0.94  (assume a327 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f V_A T_a T_b) T_b)) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))))))
% 0.51/0.94  (assume a328 (forall ((V_G $$unsorted) (T_a $$unsorted) (V_P $$unsorted) (V_Q $$unsorted) (V_Procs $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__valids V_G (tptp.c_Set_Oimage (tptp.c_COMBS (tptp.c_COMBS (tptp.c_COMBB (tptp.c_Hoare__Mirabelle_Otriple_Otriple T_a) V_P (tptp.tc_fun T_a (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_fun tptp.tc_Com_Ocom (tptp.tc_fun (tptp.tc_fun T_a (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple T_a))) tptp.tc_Com_Opname) tptp.c_Com_Ocom_OBODY tptp.tc_Com_Opname tptp.tc_Com_Ocom (tptp.tc_fun (tptp.tc_fun T_a (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple T_a))) V_Q tptp.tc_Com_Opname (tptp.tc_fun T_a (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple T_a)) V_Procs tptp.tc_Com_Opname (tptp.tc_Hoare__Mirabelle_Otriple T_a)) T_a) (not (tptp.c_Hoare__Mirabelle_Ohoare__valids (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G (tptp.c_Set_Oimage (tptp.c_COMBS (tptp.c_COMBS (tptp.c_COMBB (tptp.c_Hoare__Mirabelle_Otriple_Otriple T_a) V_P (tptp.tc_fun T_a (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_fun tptp.tc_Com_Ocom (tptp.tc_fun (tptp.tc_fun T_a (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple T_a))) tptp.tc_Com_Opname) tptp.c_Com_Ocom_OBODY tptp.tc_Com_Opname tptp.tc_Com_Ocom (tptp.tc_fun (tptp.tc_fun T_a (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple T_a))) V_Q tptp.tc_Com_Opname (tptp.tc_fun T_a (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple T_a)) V_Procs tptp.tc_Com_Opname (tptp.tc_Hoare__Mirabelle_Otriple T_a)) (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool)) (tptp.c_Set_Oimage (tptp.c_COMBS (tptp.c_COMBS (tptp.c_COMBB (tptp.c_Hoare__Mirabelle_Otriple_Otriple T_a) V_P (tptp.tc_fun T_a (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_fun tptp.tc_Com_Ocom (tptp.tc_fun (tptp.tc_fun T_a (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple T_a))) tptp.tc_Com_Opname) (tptp.c_COMBB (tptp.c_Option_Othe tptp.tc_Com_Ocom) tptp.c_Com_Obody (tptp.tc_Option_Ooption tptp.tc_Com_Ocom) tptp.tc_Com_Ocom tptp.tc_Com_Opname) tptp.tc_Com_Opname tptp.tc_Com_Ocom (tptp.tc_fun (tptp.tc_fun T_a (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple T_a))) V_Q tptp.tc_Com_Opname (tptp.tc_fun T_a (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple T_a)) V_Procs tptp.tc_Com_Opname (tptp.tc_Hoare__Mirabelle_Otriple T_a)) T_a)))))
% 0.51/0.94  (assume a329 (forall ((V_G $$unsorted) (V_ts $$unsorted) (T_a $$unsorted) (V_t $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G V_ts T_a) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Set_Oinsert V_t V_ts (tptp.tc_Hoare__Mirabelle_Otriple T_a)) T_a)))))
% 0.51/0.94  (assume a330 (forall ((V_G $$unsorted) (V_ts $$unsorted) (T_a $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__valids V_G V_ts T_a) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G V_ts T_a)))))
% 0.51/0.94  (assume a331 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (not (tptp.class_Lattices_Obounded__lattice T_a)) (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B T_a) (tptp.c_Orderings_Otop__class_Otop T_a))) (= V_A (tptp.c_Orderings_Otop__class_Otop T_a)))))
% 0.51/0.94  (assume a332 (forall ((T_a $$unsorted) (V_l $$unsorted) (V_m $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_SetInterval_Oord__class_OatLeastLessThan V_l V_m T_a) (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_m V_u T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_l V_u T_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_m) V_u))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_l) V_m))))))
% 0.51/0.94  (assume a333 (forall ((T_a $$unsorted)) (or (not (tptp.class_Lattices_Oboolean__algebra T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_Orderings_Otop__class_Otop T_a) T_a) (tptp.c_Orderings_Obot__class_Obot T_a)))))
% 0.51/0.94  (assume a334 (forall ((T_a $$unsorted)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a335 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_HOL_Oord T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_i) V_k)) (not (tptp.hBOOL (tptp.c_in V_i (tptp.c_SetInterval_Oord__class_OatMost V_k T_a) T_a))))))
% 0.51/0.94  (assume a336 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_HOL_Oord T_a)) (tptp.hBOOL (tptp.c_in V_i (tptp.c_SetInterval_Oord__class_OatMost V_k T_a) T_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_i) V_k))))))
% 0.51/0.94  (assume a337 (forall ((T_a $$unsorted) (V_l $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_SetInterval_Oord__class_OatMost V_l T_a) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan V_l V_u T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.51/0.94  (assume a338 (forall ((V_C $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_C (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Lattices_Olower__semilattice__class_Oinf V_C V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_C V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a339 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a340 (forall ((T_a $$unsorted) (V_l $$unsorted) (V_m $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan V_l V_m T_a) (tptp.c_SetInterval_Oord__class_OatLeastLessThan V_m V_u T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.51/0.94  (assume a341 (forall ((V_c $$unsorted) (V_s $$unsorted) (V_n $$unsorted) (V_s_H $$unsorted)) (or (tptp.c_Natural_Oevaln V_c V_s (tptp.c_Suc V_n) V_s_H) (not (tptp.c_Natural_Oevaln V_c V_s V_n V_s_H)))))
% 0.51/0.94  (assume a342 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.hBOOL (tptp.c_in V_x V_B T_a))) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))) (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))))
% 0.51/0.94  (assume a343 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Obounded__lattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x (tptp.c_Orderings_Otop__class_Otop T_a) T_a) V_x))))
% 0.51/0.94  (assume a344 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Obounded__lattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Orderings_Otop__class_Otop T_a) V_x T_a) V_x))))
% 0.51/0.94  (assume a345 (forall ((T_a $$unsorted) (V_B $$unsorted)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) V_B (tptp.tc_fun T_a tptp.tc_bool)) V_B)))
% 0.51/0.94  (assume a346 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) V_A)))
% 0.51/0.94  (assume a347 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oimage V_f (tptp.c_Set_Ovimage V_f V_A T_b T_a) T_b T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A (tptp.c_Set_Oimage V_f (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a348 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_z T_a) T_a)) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_z T_a) T_a))))))
% 0.51/0.94  (assume a349 (forall ((T_a $$unsorted) (V_l $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Oinsert V_l (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.c_SetInterval_Oord__class_OgreaterThan V_l T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OatLeast V_l T_a)))))
% 0.51/0.94  (assume a350 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_C (tptp.tc_fun T_a tptp.tc_bool)) V_B (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a351 (forall ((T_a $$unsorted) (V_l $$unsorted) (V_m $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_SetInterval_Oord__class_OatLeastLessThan V_l V_m T_a) (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_m V_u T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.51/0.94  (assume a352 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) T_a) V_x))))
% 0.51/0.94  (assume a353 (forall ((T_a $$unsorted) (V_x $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) V_x))))
% 0.51/0.94  (assume a354 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_a V_A T_a)) (= V_a V_b) (not (tptp.hBOOL (tptp.c_in V_a (tptp.c_Set_Oinsert V_b V_A T_a) T_a))))))
% 0.51/0.94  (assume a355 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oboolean__algebra T_a)) (not (= (tptp.c_HOL_Ouminus__class_Ouminus V_x T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_y T_a))) (= V_x V_y))))
% 0.51/0.94  (assume a356 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (not (= (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a))) (= V_a V_b))))
% 0.51/0.94  (assume a357 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (= (tptp.c_HOL_Ouminus__class_Ouminus V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ouminus__class_Ouminus V_B (tptp.tc_fun T_a tptp.tc_bool)))) (= V_A V_B))))
% 0.51/0.94  (assume a358 (forall ((T_b $$unsorted)) (or (not (tptp.class_Orderings_Otop T_b)) (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.t_a T_b)) tptp.v_x) (tptp.c_Orderings_Otop__class_Otop T_b)))))
% 0.51/0.94  (assume a359 (forall ((T_a $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_SetInterval_Oord__class_OlessThan V_u T_a) (tptp.c_Set_Oinsert V_u (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OatMost V_u T_a)))))
% 0.51/0.94  (assume a360 (forall ((V_u $$unsorted) (V_t $$unsorted) (V_c $$unsorted) (V_s $$unsorted)) (or (= V_u V_t) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc V_c) V_s) V_u))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc V_c) V_s) V_t))))))
% 0.51/0.94  (assume a361 (forall ((V_f $$unsorted) (V_g $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (= V_f V_g) (not (tptp.c_Map_Omap__le V_g V_f T_a T_b)) (not (tptp.c_Map_Omap__le V_f V_g T_a T_b)))))
% 0.51/0.94  (assume a362 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) T_a) V_x))))
% 0.51/0.94  (assume a363 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) V_A)))
% 0.51/0.94  (assume a364 (forall ((T_a $$unsorted) (V_l $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_SetInterval_Oord__class_OlessThan V_l T_a) (tptp.c_SetInterval_Oord__class_OatLeastLessThan V_l V_u T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OlessThan V_u T_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_l) V_u))))))
% 0.51/0.94  (assume a365 (forall ((V_Q $$unsorted) (V_Z $$unsorted) (V_s_H $$unsorted) (V_c $$unsorted) (V_s $$unsorted) (V_n $$unsorted) (V_P $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Q V_Z) V_s_H)) (not (tptp.c_Natural_Oevaln V_c V_s V_n V_s_H)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_P V_Z) V_s))) (not (tptp.c_Hoare__Mirabelle_Otriple__valid V_n (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.t_a) V_P) V_c) V_Q) tptp.t_a)))))
% 0.51/0.94  (assume a366 (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.v_x) (tptp.c_in tptp.v_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))
% 0.51/0.94  (assume a367 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (= (tptp.c_SetInterval_Oord__class_OatLeast V_x T_a) (tptp.c_SetInterval_Oord__class_OatLeast V_y T_a))) (= V_x V_y))))
% 0.51/0.94  (assume a368 (forall ((V_c $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (= (tptp.c_Set_Ovimage (tptp.c_COMBK V_c T_b T_a) V_A T_a T_b) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (tptp.hBOOL (tptp.c_in V_c V_A T_b)))))
% 0.51/0.94  (assume a369 (forall ((T_a $$unsorted) (V_fun1 $$unsorted) (V_com $$unsorted) (V_fun2 $$unsorted) (V_fun1_H $$unsorted) (V_com_H $$unsorted) (V_fun2_H $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Otriple_Otriple T_a) V_fun1) V_com) V_fun2) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Otriple_Otriple T_a) V_fun1_H) V_com_H) V_fun2_H))) (= V_fun1 V_fun1_H))))
% 0.51/0.94  (assume a370 (forall ((T_a $$unsorted) (V_fun1 $$unsorted) (V_com $$unsorted) (V_fun2 $$unsorted) (V_fun1_H $$unsorted) (V_com_H $$unsorted) (V_fun2_H $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Otriple_Otriple T_a) V_fun1) V_com) V_fun2) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Otriple_Otriple T_a) V_fun1_H) V_com_H) V_fun2_H))) (= V_com V_com_H))))
% 0.51/0.94  (assume a371 (forall ((T_a $$unsorted) (V_fun1 $$unsorted) (V_com $$unsorted) (V_fun2 $$unsorted) (V_fun1_H $$unsorted) (V_com_H $$unsorted) (V_fun2_H $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Otriple_Otriple T_a) V_fun1) V_com) V_fun2) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Otriple_Otriple T_a) V_fun1_H) V_com_H) V_fun2_H))) (= V_fun2 V_fun2_H))))
% 0.51/0.94  (assume a372 (forall ((T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) T_a) (not (tptp.c_Finite__Set_Ofinite (tptp.c_HOL_Ouminus__class_Ouminus V_A (tptp.tc_fun T_a tptp.tc_bool)) T_a)) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 0.51/0.94  (assume a373 (forall ((V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite (tptp.c_HOL_Ouminus__class_Ouminus V_A (tptp.tc_fun T_a tptp.tc_bool)) T_a) (not (tptp.c_Finite__Set_Ofinite (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) T_a)) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 0.51/0.94  (assume a374 (forall ((T_a $$unsorted) (V_l $$unsorted) (V_m $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_l V_m T_a) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan V_m V_u T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.51/0.94  (assume a375 (forall ((V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Set_Oinsert V_a V_B T_a) V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oinsert V_a (tptp.c_Lattices_Olower__semilattice__class_Oinf V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_C T_a))))))
% 0.51/0.94  (assume a376 (forall ((V_A $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oinsert V_a (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))))
% 0.51/0.94  (assume a377 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a378 (forall ((V_f $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP V_f V_a) V_b) (not (tptp.hBOOL (tptp.c_in V_a (tptp.c_Set_Ovimage V_f (tptp.c_Set_Oinsert V_b (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool)) T_b) T_a T_b) T_a))))))
% 0.51/0.94  (assume a379 (forall ((T_b $$unsorted) (V_A $$unsorted)) (or (not (tptp.class_HOL_Ouminus T_b)) (= (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus V_A (tptp.tc_fun tptp.t_a T_b)) tptp.v_x) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP V_A tptp.v_x) T_b)))))
% 0.51/0.94  (assume a380 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Odistrib__lattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_z T_a) V_x T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_x T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_z V_x T_a) T_a)))))
% 0.51/0.94  (assume a381 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Odistrib__lattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_z T_a) T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_z T_a) T_a)))))
% 0.51/0.94  (assume a382 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_Lattices_Olower__semilattice__class_Oinf V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a383 (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Olower__semilattice__class_Oinf V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_C V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a384 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Set_Oinsert V_x V_A T_a) V_x))))
% 0.51/0.94  (assume a385 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oinsert V_x V_A T_a)) V_B)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B))) (not (tptp.hBOOL (tptp.c_in V_x V_B T_a))))))
% 0.51/0.94  (assume a386 (forall ((T_a $$unsorted)) (or (not (tptp.class_Lattices_Oboolean__algebra T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_Orderings_Obot__class_Obot T_a) T_a) (tptp.c_Orderings_Otop__class_Otop T_a)))))
% 0.51/0.94  (assume a387 (forall ((T_a $$unsorted)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a388 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a)))))
% 0.51/0.94  (assume a389 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a)))))
% 0.51/0.94  (assume a390 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a391 (forall ((T_a $$unsorted) (V_l $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_SetInterval_Oord__class_OlessThan V_l T_a) (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_l V_u T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OatMost V_u T_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_l) V_u))))))
% 0.51/0.94  (assume a392 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a) (not (tptp.c_Finite__Set_Ofinite (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))
% 0.51/0.94  (assume a393 (forall ((V_A $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) T_a) (not (tptp.c_Finite__Set_Ofinite (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))
% 0.51/0.94  (assume a394 (forall ((T_a $$unsorted)) (or (not (tptp.class_Finite__Set_Ofinite_Ofinite T_a)) (tptp.c_Finite__Set_Ofinite (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) T_a))))
% 0.51/0.94  (assume a395 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)) (not (tptp.hBOOL (tptp.c_in V_c V_B T_a))))))
% 0.51/0.94  (assume a396 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)) (not (tptp.hBOOL (tptp.c_in V_c V_A T_a))))))
% 0.51/0.94  (assume a397 (forall ((V_n $$unsorted)) (not (= (tptp.c_Suc V_n) V_n))))
% 0.51/0.94  (assume a398 (forall ((V_n $$unsorted)) (not (= V_n (tptp.c_Suc V_n)))))
% 0.51/0.94  (assume a399 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Set_Oinsert V_a (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool)) T_a) V_A) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))))
% 0.51/0.94  (assume a400 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_x T_a) V_x))))
% 0.51/0.94  (assume a401 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_A (tptp.tc_fun T_a tptp.tc_bool)) V_A)))
% 0.51/0.94  (assume a402 (forall ((T_a $$unsorted) (V_l $$unsorted) (V_m $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_l V_m T_a) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost V_m V_u T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.51/0.94  (assume a403 (forall ((T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.hBOOL (tptp.c_in (tptp.c_Finite__Set_Olinorder__class_OMax V_A T_a) V_A T_a)) (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 0.51/0.94  (assume a404 (forall ((T_b $$unsorted) (V_f $$unsorted) (V_g $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_b)) (= (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf V_f V_g (tptp.tc_fun tptp.t_a T_b)) tptp.v_x) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.hAPP V_f tptp.v_x) (tptp.hAPP V_g tptp.v_x) T_b)))))
% 0.51/0.94  (assume a405 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Complete__Lattice_Ocomplete__lattice T_a)) (= (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.c_Set_Oinsert V_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a) V_a))))
% 0.51/0.94  (assume a406 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_a (tptp.c_Set_Oinsert V_b V_B T_a) T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_B T_a))))))
% 0.51/0.94  (assume a407 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_a (tptp.c_Set_Oinsert V_b V_A T_a) T_a)) (not (tptp.hBOOL (tptp.c_in V_a V_A T_a))))))
% 0.51/0.94  (assume a408 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus V_A V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a409 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A (tptp.c_HOL_Ominus__class_Ominus V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a410 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_SetInterval_Oord__class_OatLeastLessThan V_i V_m T_a) (tptp.c_SetInterval_Oord__class_OatLeastLessThan V_i V_n T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OatLeastLessThan V_n V_m T_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_i) V_n))))))
% 0.51/0.94  (assume a411 (forall ((T_a $$unsorted) (V_l $$unsorted) (V_m $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan V_l V_m T_a) (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_m V_u T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.51/0.94  (assume a412 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (= (tptp.c_SetInterval_Oord__class_OatMost V_x T_a) (tptp.c_SetInterval_Oord__class_OatMost V_y T_a))) (= V_x V_y))))
% 0.51/0.94  (assume a413 (forall ((T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.hBOOL (tptp.c_in (tptp.c_Finite__Set_Olinorder__class_OMin V_A T_a) V_A T_a)) (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 0.51/0.94  (assume a414 (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.c_in V_x (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a))))
% 0.51/0.94  (assume a415 (forall ((V_f $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Ovimage V_f (tptp.c_Set_Oinsert V_a V_B T_b) T_a T_b) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Ovimage V_f (tptp.c_Set_Oinsert V_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool)) T_b) T_a T_b) (tptp.c_Set_Ovimage V_f V_B T_a T_b) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a416 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Lattices_Olower__semilattice__class_Oinf V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus V_A V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a417 (forall ((T_a $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_SetInterval_Oord__class_OgreaterThan V_k T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OatMost V_k T_a)))))
% 0.51/0.94  (assume a418 (forall ((V_A $$unsorted) (V_f $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_A (tptp.hAPP V_f V_x))) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Set_Ovimage V_f V_A T_a T_b) V_x))))))
% 0.51/0.94  (assume a419 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.c_Set_Ovimage V_f V_A T_a T_b) V_x)) (not (tptp.hBOOL (tptp.hAPP V_A (tptp.hAPP V_f V_x)))))))
% 0.51/0.94  (assume a420 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) (tptp.c_Finite__Set_Olinorder__class_OMin V_A T_a)) V_x)) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 0.51/0.94  (assume a421 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)) (not (tptp.hBOOL (tptp.c_in V_c V_B T_a))) (not (tptp.hBOOL (tptp.c_in V_c V_A T_a))))))
% 0.51/0.94  (assume a422 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.c_in V_c (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)) (not (tptp.hBOOL (tptp.c_in V_c V_B T_a))) (not (tptp.hBOOL (tptp.c_in V_c V_A T_a))))))
% 0.51/0.94  (assume a423 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_x)) (not (tptp.hBOOL (tptp.hAPP V_B V_x))) (not (tptp.hBOOL (tptp.hAPP V_A V_x))))))
% 0.51/0.94  (assume a424 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_a V_b T_a) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_HOL_Ouminus__class_Ouminus V_a T_a) (tptp.c_HOL_Ouminus__class_Ouminus V_b T_a) T_a) T_a)))))
% 0.51/0.94  (assume a425 (forall ((V_c $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (= (tptp.c_Set_Ovimage (tptp.c_COMBK V_c T_b T_a) V_A T_a T_b) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.hBOOL (tptp.c_in V_c V_A T_b))))))
% 0.51/0.94  (assume a426 (forall ((T_a $$unsorted) (V_l $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_SetInterval_Oord__class_OlessThan V_l T_a) (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_l V_u T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.51/0.94  (assume a427 (forall ((T_a $$unsorted) (V_l $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_SetInterval_Oord__class_OatLeastLessThan V_l V_u T_a) (tptp.c_SetInterval_Oord__class_OatLeast V_u T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OatLeast V_l T_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_l) V_u))))))
% 0.51/0.94  (assume a428 (forall ((T_a $$unsorted) (V_l $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_SetInterval_Oord__class_OlessThan V_l T_a) (tptp.c_SetInterval_Oord__class_OatLeastLessThan V_l V_u T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.51/0.94  (assume a429 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_A $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) (tptp.c_Finite__Set_Olinorder__class_OMax V_A T_a))) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 0.51/0.94  (assume a430 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_A $$unsorted)) (or (not (tptp.class_Complete__Lattice_Ocomplete__lattice T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) (tptp.c_Complete__Lattice_OSup__class_OSup V_A T_a))) (not (tptp.hBOOL (tptp.c_in V_x V_A T_a))))))
% 0.51/0.94  (assume a431 (forall ((V_pn $$unsorted)) (or (tptp.c_Com_OWT (tptp.hAPP tptp.c_Com_Ocom_OBODY V_pn)) (= (tptp.hAPP tptp.c_Com_Obody V_pn) (tptp.c_Option_Ooption_ONone tptp.tc_Com_Ocom)))))
% 0.51/0.94  (assume a432 (forall ((V_n $$unsorted) (T_a $$unsorted) (V_P $$unsorted) (V_pn $$unsorted) (V_Q $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Otriple__valid (tptp.c_Suc V_n) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Otriple_Otriple T_a) V_P) (tptp.hAPP tptp.c_Com_Ocom_OBODY V_pn)) V_Q) T_a) (not (tptp.c_Hoare__Mirabelle_Otriple__valid V_n (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Otriple_Otriple T_a) V_P) (tptp.hAPP (tptp.c_Option_Othe tptp.tc_Com_Ocom) (tptp.hAPP tptp.c_Com_Obody V_pn))) V_Q) T_a)))))
% 0.51/0.94  (assume a433 (forall ((V_n $$unsorted) (T_a $$unsorted) (V_P $$unsorted) (V_pn $$unsorted) (V_Q $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Otriple__valid V_n (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Otriple_Otriple T_a) V_P) (tptp.hAPP (tptp.c_Option_Othe tptp.tc_Com_Ocom) (tptp.hAPP tptp.c_Com_Obody V_pn))) V_Q) T_a) (not (tptp.c_Hoare__Mirabelle_Otriple__valid (tptp.c_Suc V_n) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Otriple_Otriple T_a) V_P) (tptp.hAPP tptp.c_Com_Ocom_OBODY V_pn)) V_Q) T_a)))))
% 0.51/0.94  (assume a434 (forall ((T_a $$unsorted) (V_x $$unsorted)) (= (tptp.hAPP (tptp.c_Option_Othe T_a) (tptp.c_Option_Ooption_OSome V_x T_a)) V_x)))
% 0.51/0.94  (assume a435 (forall ((V_G $$unsorted) (T_a $$unsorted) (V_P $$unsorted) (V_pn $$unsorted) (V_Q $$unsorted) (V_Procs $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Otriple_Otriple T_a) (tptp.hAPP V_P V_pn)) (tptp.hAPP tptp.c_Com_Ocom_OBODY V_pn)) (tptp.hAPP V_Q V_pn)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple T_a)) T_a) (not (tptp.hBOOL (tptp.c_in V_pn V_Procs tptp.tc_Com_Opname))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G (tptp.c_Set_Oimage (tptp.c_COMBS (tptp.c_COMBS (tptp.c_COMBB (tptp.c_Hoare__Mirabelle_Otriple_Otriple T_a) V_P (tptp.tc_fun T_a (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_fun tptp.tc_Com_Ocom (tptp.tc_fun (tptp.tc_fun T_a (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple T_a))) tptp.tc_Com_Opname) tptp.c_Com_Ocom_OBODY tptp.tc_Com_Opname tptp.tc_Com_Ocom (tptp.tc_fun (tptp.tc_fun T_a (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple T_a))) V_Q tptp.tc_Com_Opname (tptp.tc_fun T_a (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple T_a)) V_Procs tptp.tc_Com_Opname (tptp.tc_Hoare__Mirabelle_Otriple T_a)) (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool)) (tptp.c_Set_Oimage (tptp.c_COMBS (tptp.c_COMBS (tptp.c_COMBB (tptp.c_Hoare__Mirabelle_Otriple_Otriple T_a) V_P (tptp.tc_fun T_a (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_fun tptp.tc_Com_Ocom (tptp.tc_fun (tptp.tc_fun T_a (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple T_a))) tptp.tc_Com_Opname) (tptp.c_COMBB (tptp.c_Option_Othe tptp.tc_Com_Ocom) tptp.c_Com_Obody (tptp.tc_Option_Ooption tptp.tc_Com_Ocom) tptp.tc_Com_Ocom tptp.tc_Com_Opname) tptp.tc_Com_Opname tptp.tc_Com_Ocom (tptp.tc_fun (tptp.tc_fun T_a (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple T_a))) V_Q tptp.tc_Com_Opname (tptp.tc_fun T_a (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple T_a)) V_Procs tptp.tc_Com_Opname (tptp.tc_Hoare__Mirabelle_Otriple T_a)) T_a)))))
% 0.51/0.94  (assume a436 (forall ((V_P $$unsorted) (V_c $$unsorted) (V_Q $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_bool)) (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.tc_Com_Ostate) V_P) V_c) V_Q) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) tptp.tc_Com_Ostate) (not (tptp.c_Hoare__Mirabelle_Ohoare__valids (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_bool)) (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.tc_Com_Ostate) V_P) V_c) V_Q) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) tptp.tc_Com_Ostate)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_bool)) (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT V_c) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) tptp.tc_Com_Ostate)))))
% 0.51/0.94  (assume a437 (forall ((V_pn $$unsorted) (V_b $$unsorted)) (or (not (= (tptp.hAPP tptp.c_Com_Obody V_pn) (tptp.c_Option_Ooption_OSome V_b tptp.tc_Com_Ocom))) (not tptp.c_Com_OWT__bodies) (tptp.c_Com_OWT V_b))))
% 0.51/0.94  (assume a438 (forall ((V_t $$unsorted)) (or (not (= (tptp.v_sko__Hoare__Mirabelle__Xsingle__stateE__1 V_t) V_t)) (not tptp.c_Hoare__Mirabelle_Ostate__not__singleton))))
% 0.51/0.94  (assume a439 (forall ((T_a $$unsorted) (V_N $$unsorted) (V_M $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) (tptp.c_Finite__Set_Olinorder__class_OMin V_N T_a)) (tptp.c_Finite__Set_Olinorder__class_OMin V_M T_a))) (not (tptp.c_Finite__Set_Ofinite V_N T_a)) (= V_M (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_M) V_N))))))
% 0.51/0.94  (assume a440 (forall ((T_a $$unsorted) (V_M $$unsorted) (V_N $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) (tptp.c_Finite__Set_Olinorder__class_OMax V_M T_a)) (tptp.c_Finite__Set_Olinorder__class_OMax V_N T_a))) (not (tptp.c_Finite__Set_Ofinite V_N T_a)) (= V_M (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_M) V_N))))))
% 0.51/0.94  (assume a441 (forall ((V_G $$unsorted) (T_a $$unsorted) (V_P $$unsorted) (V_Q $$unsorted) (V_Procs $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Set_Oimage (tptp.c_COMBS (tptp.c_COMBS (tptp.c_COMBB (tptp.c_Hoare__Mirabelle_Otriple_Otriple T_a) V_P (tptp.tc_fun T_a (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_fun tptp.tc_Com_Ocom (tptp.tc_fun (tptp.tc_fun T_a (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple T_a))) tptp.tc_Com_Opname) tptp.c_Com_Ocom_OBODY tptp.tc_Com_Opname tptp.tc_Com_Ocom (tptp.tc_fun (tptp.tc_fun T_a (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple T_a))) V_Q tptp.tc_Com_Opname (tptp.tc_fun T_a (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple T_a)) V_Procs tptp.tc_Com_Opname (tptp.tc_Hoare__Mirabelle_Otriple T_a)) T_a) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G (tptp.c_Set_Oimage (tptp.c_COMBS (tptp.c_COMBS (tptp.c_COMBB (tptp.c_Hoare__Mirabelle_Otriple_Otriple T_a) V_P (tptp.tc_fun T_a (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_fun tptp.tc_Com_Ocom (tptp.tc_fun (tptp.tc_fun T_a (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple T_a))) tptp.tc_Com_Opname) tptp.c_Com_Ocom_OBODY tptp.tc_Com_Opname tptp.tc_Com_Ocom (tptp.tc_fun (tptp.tc_fun T_a (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple T_a))) V_Q tptp.tc_Com_Opname (tptp.tc_fun T_a (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple T_a)) V_Procs tptp.tc_Com_Opname (tptp.tc_Hoare__Mirabelle_Otriple T_a)) (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool)) (tptp.c_Set_Oimage (tptp.c_COMBS (tptp.c_COMBS (tptp.c_COMBB (tptp.c_Hoare__Mirabelle_Otriple_Otriple T_a) V_P (tptp.tc_fun T_a (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_fun tptp.tc_Com_Ocom (tptp.tc_fun (tptp.tc_fun T_a (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple T_a))) tptp.tc_Com_Opname) (tptp.c_COMBB (tptp.c_Option_Othe tptp.tc_Com_Ocom) tptp.c_Com_Obody (tptp.tc_Option_Ooption tptp.tc_Com_Ocom) tptp.tc_Com_Ocom tptp.tc_Com_Opname) tptp.tc_Com_Opname tptp.tc_Com_Ocom (tptp.tc_fun (tptp.tc_fun T_a (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple T_a))) V_Q tptp.tc_Com_Opname (tptp.tc_fun T_a (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple T_a)) V_Procs tptp.tc_Com_Opname (tptp.tc_Hoare__Mirabelle_Otriple T_a)) T_a)))))
% 0.51/0.94  (assume a442 (forall ((V_P $$unsorted) (V_s $$unsorted) (V_n $$unsorted) (V_s1 $$unsorted)) (or (tptp.c_Natural_Oevaln (tptp.hAPP (tptp.c_Option_Othe tptp.tc_Com_Ocom) (tptp.hAPP tptp.c_Com_Obody V_P)) V_s (tptp.c_Natural_Osko__Natural__Xevaln__elim__cases__6__1 V_P V_n V_s V_s1) V_s1) (not (tptp.c_Natural_Oevaln (tptp.hAPP tptp.c_Com_Ocom_OBODY V_P) V_s V_n V_s1)))))
% 0.51/0.94  (assume a443 (forall ((V_pn $$unsorted) (V_s0 $$unsorted) (V_n $$unsorted) (V_s1 $$unsorted)) (or (tptp.c_Natural_Oevaln (tptp.hAPP tptp.c_Com_Ocom_OBODY V_pn) V_s0 (tptp.c_Suc V_n) V_s1) (not (tptp.c_Natural_Oevaln (tptp.hAPP (tptp.c_Option_Othe tptp.tc_Com_Ocom) (tptp.hAPP tptp.c_Com_Obody V_pn)) V_s0 V_n V_s1)))))
% 0.51/0.94  (assume a444 (forall ((T_a $$unsorted)) (or (not (tptp.class_Orderings_Obot T_a)) (tptp.c_Orderings_Obot__axioms (tptp.c_lessequals T_a) (tptp.c_Orderings_Obot__class_Obot T_a) T_a))))
% 0.51/0.94  (assume a445 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_a V_b T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_a) V_b))))))
% 0.51/0.94  (assume a446 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_a V_b T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_a) V_b)))))
% 0.51/0.94  (assume a447 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_a V_b T_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_a) V_b))))))
% 0.51/0.94  (assume a448 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_a V_b T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_a) V_b)))))
% 0.51/0.94  (assume a449 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= (tptp.c_SetInterval_Oord__class_OatLeastLessThan V_a V_b T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_b) V_a))))))
% 0.51/0.94  (assume a450 (forall ((T_a $$unsorted) (V_k $$unsorted) (V_l $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan V_k V_l T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_l) V_k))))))
% 0.51/0.94  (assume a451 (forall ((T_a $$unsorted) (V_k $$unsorted) (V_l $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost V_k V_l T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_l) V_k))))))
% 0.51/0.94  (assume a452 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_f $$unsorted) (V_g $$unsorted)) (or (not (tptp.class_HOL_Oord T_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a T_b)) V_f) V_g)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_b) (tptp.hAPP V_f (tptp.c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1 V_f V_g T_a T_b))) (tptp.hAPP V_g (tptp.c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1 V_f V_g T_a T_b))))))))
% 0.51/0.94  (assume a453 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_f $$unsorted) (V_g $$unsorted)) (or (not (tptp.class_HOL_Oord T_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a T_b)) V_f) V_g)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_b) (tptp.hAPP V_f (tptp.c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1 V_f V_g T_a T_b))) (tptp.hAPP V_g (tptp.c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1 V_f V_g T_a T_b))))))))
% 0.51/0.94  (assume a454 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OatLeast V_x T_a)) (tptp.c_SetInterval_Oord__class_OatLeast V_y T_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_y) V_x))))))
% 0.51/0.94  (assume a455 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_y) V_x)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OatLeast V_x T_a)) (tptp.c_SetInterval_Oord__class_OatLeast V_y T_a)))))))
% 0.51/0.94  (assume a456 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_a V_b T_a)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_c V_d T_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_a) V_b)))))
% 0.51/0.94  (assume a457 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_c) V_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_a) V_b))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_a V_b T_a)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_c V_d T_a)))))))
% 0.51/0.94  (assume a458 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_d $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_b) V_d)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_a) V_b))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_a V_b T_a)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_c V_d T_a)))))))
% 0.51/0.94  (assume a459 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_a V_b T_a)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost V_c V_d T_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_b) V_d))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_c) V_a))))))
% 0.51/0.94  (assume a460 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OatMost V_x T_a)) (tptp.c_SetInterval_Oord__class_OatMost V_y T_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) V_y))))))
% 0.51/0.94  (assume a461 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) V_y)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OatMost V_x T_a)) (tptp.c_SetInterval_Oord__class_OatMost V_y T_a)))))))
% 0.51/0.94  (assume a462 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OgreaterThan V_x T_a)) (tptp.c_SetInterval_Oord__class_OgreaterThan V_y T_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_y) V_x))))))
% 0.51/0.94  (assume a463 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_y) V_x)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OgreaterThan V_x T_a)) (tptp.c_SetInterval_Oord__class_OgreaterThan V_y T_a)))))))
% 0.51/0.94  (assume a464 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OlessThan V_x T_a)) (tptp.c_SetInterval_Oord__class_OlessThan V_y T_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) V_y))))))
% 0.51/0.94  (assume a465 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) V_y)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OlessThan V_x T_a)) (tptp.c_SetInterval_Oord__class_OlessThan V_y T_a)))))))
% 0.51/0.94  (assume a466 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_c) V_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_b) V_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OatLeastLessThan V_a V_b T_a)) (tptp.c_SetInterval_Oord__class_OatLeastLessThan V_c V_d T_a)))))))
% 0.51/0.94  (assume a467 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_d $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_b) V_d)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_b) V_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_SetInterval_Oord__class_OatLeastLessThan V_a V_b T_a)) (tptp.c_SetInterval_Oord__class_OatLeastLessThan V_c V_d T_a)))))))
% 0.51/0.94  (assume a468 (forall ((T_b $$unsorted)) (or (not (tptp.class_Orderings_Obot T_b)) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a T_b)) tptp.v_x) (tptp.c_Orderings_Obot__class_Obot T_b)))))
% 0.51/0.94  (assume a469 (forall ((T_a $$unsorted)) (or (not (tptp.class_Complete__Lattice_Ocomplete__lattice T_a)) (= (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.c_Orderings_Obot__class_Obot T_a)))))
% 0.51/0.94  (assume a470 (forall ((V_f $$unsorted) (V_g $$unsorted) (T_c $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Set_Oimage (tptp.c_COMBB V_f V_g T_c T_a T_b) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a) (tptp.c_Set_Oimage V_f (tptp.c_Set_Oimage V_g (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_bool)) T_b T_c) T_c T_a))))
% 0.51/0.94  (assume a471 (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a)) (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))))
% 0.51/0.94  (assume a472 (forall ((V_A $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.c_HOL_Ouminus__class_Ouminus V_A (tptp.tc_fun T_a tptp.tc_bool))))))))
% 0.51/0.94  (assume a473 (forall ((T_a $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.51/0.94  (assume a474 (forall ((V_c $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Set_Oimage (tptp.c_COMBK V_c T_a T_b) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a475 (forall ((T_a $$unsorted) (V_f $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oimage V_f (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a)) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Set_Oimage V_f V_A T_b T_a) (tptp.c_Set_Oimage V_f V_B T_b T_a) (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.51/0.94  (assume a476 (forall ((T_a $$unsorted) (V_f $$unsorted) (V_A $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oimage V_f (tptp.c_Set_Ovimage V_f V_A T_b T_a) T_b T_a)) V_A))))
% 0.51/0.94  (assume a477 (forall ((T_b $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_f $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_b tptp.tc_bool)) (tptp.c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1 V_A V_B V_f T_b T_a)) V_A)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_B) (tptp.c_Set_Oimage V_f V_A T_b T_a)))))))
% 0.51/0.94  (assume a478 (forall ((V_B $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite V_B T_b) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_b tptp.tc_bool)) V_B) (tptp.c_Set_Oimage V_f V_A T_a T_b)))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 0.51/0.94  (assume a479 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted) (T_b $$unsorted)) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP V_f V_x) V_B T_a)) (not (tptp.hBOOL (tptp.c_in V_x V_A T_b))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oimage V_f V_A T_b T_a)) V_B))))))
% 0.51/0.94  (assume a480 (forall ((T_a $$unsorted) (V_f $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (V_B $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Set_Oimage V_f V_A T_b T_a) (tptp.c_Set_Oimage V_f V_B T_b T_a) (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_Set_Oimage V_f (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a)))))
% 0.51/0.94  (assume a481 (forall ((V_B $$unsorted) (V_f $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (= V_B (tptp.c_Set_Oimage V_f (tptp.c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1 V_A V_B V_f T_b T_a) T_b T_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_B) (tptp.c_Set_Oimage V_f V_A T_b T_a)))))))
% 0.51/0.94  (assume a482 (forall ((T_a $$unsorted) (V_f $$unsorted) (T_b $$unsorted) (V_g $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Map_Odom V_f T_a T_b)) (tptp.c_Map_Odom V_g T_a T_b))) (not (tptp.c_Map_Omap__le V_f V_g T_a T_b)))))
% 0.51/0.94  (assume a483 (forall ((V_G $$unsorted) (V_c $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT V_c) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) tptp.tc_Com_Ostate) (not (tptp.c_Com_OWT V_c)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT (tptp.hAPP tptp.c_Com_Ocom_OBODY (tptp.v_sko__Hoare__Mirabelle__XMGF__lemma1__1 V_G))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) tptp.tc_Com_Ostate)) (not tptp.c_Hoare__Mirabelle_Ostate__not__singleton))))
% 0.51/0.94  (assume a484 (forall ((V_G $$unsorted) (V_c $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT V_c) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) tptp.tc_Com_Ostate) (not (tptp.c_Com_OWT V_c)) (tptp.hBOOL (tptp.c_in (tptp.v_sko__Hoare__Mirabelle__XMGF__lemma1__1 V_G) (tptp.c_Map_Odom tptp.c_Com_Obody tptp.tc_Com_Opname tptp.tc_Com_Ocom) tptp.tc_Com_Opname)) (not tptp.c_Hoare__Mirabelle_Ostate__not__singleton))))
% 0.51/0.94  (assume a485 (forall ((V_G $$unsorted) (V_t $$unsorted) (V_ts $$unsorted) (T_a $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Set_Oinsert V_t V_ts (tptp.tc_Hoare__Mirabelle_Otriple T_a)) T_a) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G V_ts T_a)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Set_Oinsert V_t (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple T_a)) T_a)))))
% 0.51/0.94  (assume a486 (forall ((V_G $$unsorted) (V_t $$unsorted) (T_a $$unsorted) (V_ts $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Set_Oinsert V_t (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple T_a)) T_a) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Set_Oinsert V_t V_ts (tptp.tc_Hoare__Mirabelle_Otriple T_a)) T_a)))))
% 0.51/0.94  (assume a487 (forall ((V_G $$unsorted) (T_a $$unsorted) (V_P $$unsorted) (V_pn $$unsorted) (V_Q $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Otriple_Otriple T_a) V_P) (tptp.hAPP tptp.c_Com_Ocom_OBODY V_pn)) V_Q) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple T_a)) T_a) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Otriple_Otriple T_a) V_P) (tptp.hAPP tptp.c_Com_Ocom_OBODY V_pn)) V_Q) V_G (tptp.tc_Hoare__Mirabelle_Otriple T_a)) (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Otriple_Otriple T_a) V_P) (tptp.hAPP (tptp.c_Option_Othe tptp.tc_Com_Ocom) (tptp.hAPP tptp.c_Com_Obody V_pn))) V_Q) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple T_a)) T_a)))))
% 0.51/0.94  (assume a488 (forall ((V_G $$unsorted) (T_a $$unsorted) (V_P $$unsorted) (V_pn $$unsorted) (V_Q $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Otriple_Otriple T_a) V_P) (tptp.hAPP tptp.c_Com_Ocom_OBODY V_pn)) V_Q) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple T_a)) T_a) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Otriple_Otriple T_a) V_P) (tptp.hAPP (tptp.c_Option_Othe tptp.tc_Com_Ocom) (tptp.hAPP tptp.c_Com_Obody V_pn))) V_Q) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple T_a)) T_a)))))
% 0.51/0.94  (assume a489 (tptp.c_Finite__Set_Ofinite (tptp.c_Map_Odom tptp.c_Com_Obody tptp.tc_Com_Opname tptp.tc_Com_Ocom) tptp.tc_Com_Opname))
% 0.51/0.94  (assume a490 (forall ((V_pn $$unsorted) (V_s0 $$unsorted) (V_s1 $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc (tptp.hAPP tptp.c_Com_Ocom_OBODY V_pn)) V_s0) V_s1)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc (tptp.hAPP (tptp.c_Option_Othe tptp.tc_Com_Ocom) (tptp.hAPP tptp.c_Com_Obody V_pn))) V_s0) V_s1))))))
% 0.51/0.94  (assume a491 (forall ((V_P $$unsorted) (V_s $$unsorted) (V_s1 $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc (tptp.hAPP (tptp.c_Option_Othe tptp.tc_Com_Ocom) (tptp.hAPP tptp.c_Com_Obody V_P))) V_s) V_s1)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc (tptp.hAPP tptp.c_Com_Ocom_OBODY V_P)) V_s) V_s1))))))
% 0.51/0.94  (assume a492 (forall ((V_c $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_bool)) (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT V_c) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) tptp.tc_Com_Ostate) (not (tptp.c_Com_OWT V_c)) (not tptp.c_Com_OWT__bodies) (not tptp.c_Hoare__Mirabelle_Ostate__not__singleton))))
% 0.51/0.94  (assume a493 (forall ((V_G $$unsorted) (V_Procs $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Set_Oimage (tptp.c_COMBB tptp.c_Hoare__Mirabelle_OMGT tptp.c_Com_Ocom_OBODY tptp.tc_Com_Ocom (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_Com_Opname) V_Procs tptp.tc_Com_Opname (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) tptp.tc_Com_Ostate) (not (tptp.c_Finite__Set_Ofinite V_Procs tptp.tc_Com_Opname)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G (tptp.c_Set_Oimage (tptp.c_COMBB tptp.c_Hoare__Mirabelle_OMGT tptp.c_Com_Ocom_OBODY tptp.tc_Com_Ocom (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_Com_Opname) V_Procs tptp.tc_Com_Opname (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_bool)) (tptp.c_Set_Oimage (tptp.c_COMBB tptp.c_Hoare__Mirabelle_OMGT (tptp.c_COMBB (tptp.c_Option_Othe tptp.tc_Com_Ocom) tptp.c_Com_Obody (tptp.tc_Option_Ooption tptp.tc_Com_Ocom) tptp.tc_Com_Ocom tptp.tc_Com_Opname) tptp.tc_Com_Ocom (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_Com_Opname) V_Procs tptp.tc_Com_Opname (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) tptp.tc_Com_Ostate)))))
% 0.51/0.94  (assume a494 (forall ((V_G $$unsorted) (V_pn $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT (tptp.hAPP tptp.c_Com_Ocom_OBODY V_pn)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) tptp.tc_Com_Ostate) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT (tptp.hAPP tptp.c_Com_Ocom_OBODY V_pn)) V_G (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT (tptp.hAPP (tptp.c_Option_Othe tptp.tc_Com_Ocom) (tptp.hAPP tptp.c_Com_Obody V_pn))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_bool)) (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) tptp.tc_Com_Ostate)))))
% 0.51/0.94  (assume a495 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_y) V_x)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) V_y)))))
% 0.51/0.94  (assume a496 (forall ((T_b $$unsorted) (V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_f $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_b tptp.tc_bool)) V_x) V_A))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oimage V_f V_x T_b T_a)) (tptp.c_Set_Oimage V_f V_A T_b T_a))))))
% 0.51/0.94  (assume a497 (forall ((T_b $$unsorted) (V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_b tptp.tc_bool)) (tptp.c_Set_Oimage V_f V_A T_a T_b)) (tptp.c_Set_Oimage V_f V_B T_a T_b))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B))))))
% 0.51/0.94  (assume a498 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Set_Oimage V_f V_A T_b T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool))))))
% 0.51/0.94  (assume a499 (forall ((V_G $$unsorted) (V_ts $$unsorted) (T_a $$unsorted) (V_ts_H $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G V_ts T_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool)) V_ts) V_ts_H))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G V_ts_H T_a)))))
% 0.51/0.94  (assume a500 (forall ((V_Q $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_P $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_Q V_x)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_P) V_Q))) (not (tptp.hBOOL (tptp.hAPP V_P V_x))))))
% 0.51/0.94  (assume a501 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) V_x)))))
% 0.51/0.94  (assume a502 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) V_x)))))
% 0.51/0.94  (assume a503 (forall ((V_Q $$unsorted) (V_x $$unsorted) (V_P $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_Q V_x)) (not (tptp.hBOOL (tptp.hAPP V_P V_x))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_P) V_Q))))))
% 0.51/0.94  (assume a504 (forall ((V_G $$unsorted) (V_ts $$unsorted) (T_a $$unsorted) (V_G_H $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G V_ts T_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool)) V_G_H) V_G))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G_H V_ts T_a)))))
% 0.51/0.94  (assume a505 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_C $$unsorted) (V_B $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_C)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_C))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B))))))
% 0.51/0.94  (assume a506 (forall ((T_a $$unsorted) (V_A $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_A))))
% 0.51/0.94  (assume a507 (forall ((T_a $$unsorted) (V_x $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_x) V_x))))
% 0.51/0.94  (assume a508 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) V_z)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_y) V_z))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) V_y))))))
% 0.51/0.94  (assume a509 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_z) V_x)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_z) V_y))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_y) V_x))))))
% 0.51/0.94  (assume a510 (forall ((V_f $$unsorted) (V_g $$unsorted) (V_A $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oimage V_f (tptp.c_Set_Oimage V_g V_A T_c T_b) T_b T_a) (tptp.c_Set_Oimage (tptp.c_COMBB V_f V_g T_b T_a T_c) V_A T_c T_a))))
% 0.51/0.94  (assume a511 (forall ((V_G $$unsorted) (V_ts $$unsorted) (T_a $$unsorted) (V_G_H $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G V_ts T_a) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G V_G_H T_a)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G_H V_ts T_a)))))
% 0.51/0.94  (assume a512 (forall ((T_a $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.51/0.94  (assume a513 (forall ((V_A $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))))
% 0.51/0.94  (assume a514 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) V_y))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_y) V_x))))))
% 0.51/0.94  (assume a515 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_y) V_x))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) V_y))))))
% 0.51/0.94  (assume a516 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_y) V_x))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) V_x) V_y))))))
% 0.51/0.94  (assume a517 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= V_A V_B) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_A))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B))))))
% 0.51/0.94  (assume a518 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= V_A V_B) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_B) V_A))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) V_A) V_B))))))
% 0.51/0.94  (assume a519 (forall ((T_a $$unsorted) (V_x $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) V_x)))))
% 0.51/0.94  (assume a520 (forall ((V_G $$unsorted) (T_a $$unsorted)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool)) T_a)))
% 0.51/0.94  (assume a521 (forall ((V_x $$unsorted) (V_xa $$unsorted)) (or tptp.c_Hoare__Mirabelle_Ostate__not__singleton (= V_x V_xa))))
% 0.51/0.94  (assume a522 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Obot T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_a) (tptp.c_Orderings_Obot__class_Obot T_a)) V_x)))))
% 0.51/0.94  (assume a523 (forall ((T_a $$unsorted) (V_A $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) V_A))))
% 0.51/0.94  (assume a524 (forall ((T_a $$unsorted) (V_f $$unsorted) (V_A $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oimage V_f V_A T_b T_a))) (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool))))))
% 0.51/0.94  (assume a525 (forall ((V_P $$unsorted) (V_Q $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (T_c $$unsorted) (V_R $$unsorted)) (= (tptp.hAPP (tptp.c_COMBB V_P V_Q T_b T_a T_c) V_R) (tptp.hAPP V_P (tptp.hAPP V_Q V_R)))))
% 0.51/0.94  (assume a526 (forall ((V_f $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oimage V_f (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))
% 0.51/0.94  (assume a527 (forall ((V_G $$unsorted) (V_ts $$unsorted) (T_a $$unsorted)) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G V_ts T_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool)) V_ts) V_G))))))
% 0.51/0.94  (assume a528 (forall ((V_pname $$unsorted) (V_pname_H $$unsorted)) (or (not (= (tptp.hAPP tptp.c_Com_Ocom_OBODY V_pname) (tptp.hAPP tptp.c_Com_Ocom_OBODY V_pname_H))) (= V_pname V_pname_H))))
% 0.51/0.94  (assume a529 (forall ((T_a $$unsorted) (V_f $$unsorted) (T_b $$unsorted)) (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oimage V_f (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a))))
% 0.51/0.94  (assume a530 (forall ((T_b $$unsorted) (V_f $$unsorted) (V_x $$unsorted) (V_g $$unsorted) (T_a $$unsorted)) (or (not (tptp.class_HOL_Oord T_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals T_b) (tptp.hAPP V_f V_x)) (tptp.hAPP V_g V_x))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun T_a T_b)) V_f) V_g))))))
% 0.51/0.94  (assume a531 tptp.c_Hoare__Mirabelle_Ostate__not__singleton)
% 0.51/0.94  (assume a532 tptp.c_Com_OWT__bodies)
% 0.51/0.94  (assume a533 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_bool))) (tptp.c_Set_Oimage (tptp.c_COMBB tptp.c_Hoare__Mirabelle_OMGT (tptp.c_COMBB (tptp.c_Option_Othe tptp.tc_Com_Ocom) tptp.c_Com_Obody (tptp.tc_Option_Ooption tptp.tc_Com_Ocom) tptp.tc_Com_Ocom tptp.tc_Com_Opname) tptp.tc_Com_Ocom (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_Com_Opname) (tptp.c_Map_Odom tptp.c_Com_Obody tptp.tc_Com_Opname tptp.tc_Com_Ocom) tptp.tc_Com_Opname (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)))))
% 0.51/0.94  (assume a534 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oimage (tptp.c_COMBB tptp.c_Hoare__Mirabelle_OMGT tptp.c_Com_Ocom_OBODY tptp.tc_Com_Ocom (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_Com_Opname) (tptp.c_Map_Odom tptp.c_Com_Obody tptp.tc_Com_Opname tptp.tc_Com_Ocom) tptp.tc_Com_Opname (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_bool)) tptp.tc_Com_Ostate)))
% 0.51/0.94  (assume a535 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Complete__Lattice_Ocomplete__lattice (tptp.tc_fun T_2 T_1)) (not (tptp.class_Complete__Lattice_Ocomplete__lattice T_1)))))
% 0.51/0.94  (assume a536 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Lattices_Oupper__semilattice (tptp.tc_fun T_2 T_1)) (not (tptp.class_Lattices_Olattice T_1)))))
% 0.51/0.94  (assume a537 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Lattices_Olower__semilattice (tptp.tc_fun T_2 T_1)) (not (tptp.class_Lattices_Olattice T_1)))))
% 0.51/0.94  (assume a538 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Lattices_Odistrib__lattice (tptp.tc_fun T_2 T_1)) (not (tptp.class_Lattices_Odistrib__lattice T_1)))))
% 0.51/0.94  (assume a539 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Lattices_Obounded__lattice (tptp.tc_fun T_2 T_1)) (not (tptp.class_Lattices_Obounded__lattice T_1)))))
% 0.51/0.94  (assume a540 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Lattices_Oboolean__algebra (tptp.tc_fun T_2 T_1)) (not (tptp.class_Lattices_Oboolean__algebra T_1)))))
% 0.51/0.94  (assume a541 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Finite__Set_Ofinite_Ofinite (tptp.tc_fun T_2 T_1)) (not (tptp.class_Finite__Set_Ofinite_Ofinite T_1)) (not (tptp.class_Finite__Set_Ofinite_Ofinite T_2)))))
% 0.51/0.94  (assume a542 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Opreorder (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Opreorder T_1)))))
% 0.51/0.94  (assume a543 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Lattices_Olattice (tptp.tc_fun T_2 T_1)) (not (tptp.class_Lattices_Olattice T_1)))))
% 0.51/0.94  (assume a544 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Oorder (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Oorder T_1)))))
% 0.51/0.94  (assume a545 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Otop (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Otop T_1)))))
% 0.51/0.94  (assume a546 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Obot (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Obot T_1)))))
% 0.51/0.94  (assume a547 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_HOL_Ouminus (tptp.tc_fun T_2 T_1)) (not (tptp.class_HOL_Ouminus T_1)))))
% 0.51/0.94  (assume a548 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_HOL_Ominus (tptp.tc_fun T_2 T_1)) (not (tptp.class_HOL_Ominus T_1)))))
% 0.51/0.94  (assume a549 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_HOL_Oord (tptp.tc_fun T_2 T_1)) (not (tptp.class_HOL_Oord T_1)))))
% 0.51/0.94  (assume a550 (tptp.class_Lattices_Oupper__semilattice tptp.tc_nat))
% 0.51/0.94  (assume a551 (tptp.class_Lattices_Olower__semilattice tptp.tc_nat))
% 0.51/0.94  (assume a552 (tptp.class_Lattices_Odistrib__lattice tptp.tc_nat))
% 0.51/0.94  (assume a553 (tptp.class_Orderings_Opreorder tptp.tc_nat))
% 0.51/0.94  (assume a554 (tptp.class_Orderings_Olinorder tptp.tc_nat))
% 0.51/0.94  (assume a555 (tptp.class_Lattices_Olattice tptp.tc_nat))
% 0.51/0.94  (assume a556 (tptp.class_Orderings_Oorder tptp.tc_nat))
% 0.51/0.94  (assume a557 (tptp.class_Orderings_Obot tptp.tc_nat))
% 0.51/0.94  (assume a558 (tptp.class_HOL_Ominus tptp.tc_nat))
% 0.51/0.94  (assume a559 (tptp.class_HOL_Oord tptp.tc_nat))
% 0.51/0.94  (assume a560 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool))
% 0.51/0.94  (assume a561 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool))
% 0.51/0.94  (assume a562 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool))
% 0.51/0.94  (assume a563 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool))
% 0.51/0.94  (assume a564 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool))
% 0.51/0.94  (assume a565 (tptp.class_Lattices_Oboolean__algebra tptp.tc_bool))
% 0.51/0.94  (assume a566 (tptp.class_Finite__Set_Ofinite_Ofinite tptp.tc_bool))
% 0.51/0.94  (assume a567 (tptp.class_Orderings_Opreorder tptp.tc_bool))
% 0.51/0.94  (assume a568 (tptp.class_Lattices_Olattice tptp.tc_bool))
% 0.51/0.94  (assume a569 (tptp.class_Orderings_Oorder tptp.tc_bool))
% 0.51/0.94  (assume a570 (tptp.class_Orderings_Otop tptp.tc_bool))
% 0.51/0.94  (assume a571 (tptp.class_Orderings_Obot tptp.tc_bool))
% 0.51/0.94  (assume a572 (tptp.class_HOL_Ouminus tptp.tc_bool))
% 0.51/0.94  (assume a573 (tptp.class_HOL_Ominus tptp.tc_bool))
% 0.51/0.94  (assume a574 (tptp.class_HOL_Oord tptp.tc_bool))
% 0.51/0.94  (assume a575 (forall ((T_1 $$unsorted)) (or (tptp.class_Finite__Set_Ofinite_Ofinite (tptp.tc_Option_Ooption T_1)) (not (tptp.class_Finite__Set_Ofinite_Ofinite T_1)))))
% 0.51/0.94  (assume a576 (forall ((V_P $$unsorted) (V_Q $$unsorted) (V_R $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (T_a $$unsorted)) (= (tptp.c_COMBC V_P V_Q V_R T_b T_c T_a) (tptp.hAPP (tptp.hAPP V_P V_R) V_Q))))
% 0.51/0.94  (assume a577 (forall ((V_P $$unsorted) (V_Q $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (T_c $$unsorted) (V_R $$unsorted)) (= (tptp.hAPP (tptp.c_COMBB V_P V_Q T_b T_a T_c) V_R) (tptp.hAPP V_P (tptp.hAPP V_Q V_R)))))
% 0.51/0.94  (assume a578 (forall ((T_a $$unsorted) (V_x $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_fequal T_a) V_x) V_x))))
% 0.51/0.94  (assume a579 (forall ((V_X $$unsorted) (V_Y $$unsorted) (T_a $$unsorted)) (or (= V_X V_Y) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_fequal T_a) V_X) V_Y))))))
% 0.51/0.94  (step t1 (cl (=> (forall ((V_G $$unsorted) (T_a $$unsorted)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool)) T_a)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oimage (tptp.c_COMBB tptp.c_Hoare__Mirabelle_OMGT tptp.c_Com_Ocom_OBODY tptp.tc_Com_Ocom (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_Com_Opname) (tptp.c_Map_Odom tptp.c_Com_Obody tptp.tc_Com_Opname tptp.tc_Com_Ocom) tptp.tc_Com_Opname (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_bool)) tptp.tc_Com_Ostate)) (forall ((V_G $$unsorted) (T_a $$unsorted)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool)) T_a))) :rule implies_neg1)
% 0.51/0.94  (anchor :step t2)
% 0.51/0.94  (assume t2.a0 (forall ((V_G $$unsorted) (T_a $$unsorted)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool)) T_a)))
% 0.51/0.94  (step t2.t1 (cl (or (not (forall ((V_G $$unsorted) (T_a $$unsorted)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool)) T_a))) (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oimage (tptp.c_COMBB tptp.c_Hoare__Mirabelle_OMGT tptp.c_Com_Ocom_OBODY tptp.tc_Com_Ocom (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_Com_Opname) (tptp.c_Map_Odom tptp.c_Com_Obody tptp.tc_Com_Opname tptp.tc_Com_Ocom) tptp.tc_Com_Opname (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_bool)) tptp.tc_Com_Ostate))) :rule forall_inst :args ((:= V_G (tptp.c_Set_Oimage (tptp.c_COMBB tptp.c_Hoare__Mirabelle_OMGT tptp.c_Com_Ocom_OBODY tptp.tc_Com_Ocom (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_Com_Opname) (tptp.c_Map_Odom tptp.c_Com_Obody tptp.tc_Com_Opname tptp.tc_Com_Ocom) tptp.tc_Com_Opname (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate))) (:= T_a tptp.tc_Com_Ostate)))
% 0.51/0.94  (step t2.t2 (cl (not (forall ((V_G $$unsorted) (T_a $$unsorted)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool)) T_a))) (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oimage (tptp.c_COMBB tptp.c_Hoare__Mirabelle_OMGT tptp.c_Com_Ocom_OBODY tptp.tc_Com_Ocom (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_Com_Opname) (tptp.c_Map_Odom tptp.c_Com_Obody tptp.tc_Com_Opname tptp.tc_Com_Ocom) tptp.tc_Com_Opname (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_bool)) tptp.tc_Com_Ostate)) :rule or :premises (t2.t1))
% 0.51/0.94  (step t2.t3 (cl (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oimage (tptp.c_COMBB tptp.c_Hoare__Mirabelle_OMGT tptp.c_Com_Ocom_OBODY tptp.tc_Com_Ocom (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_Com_Opname) (tptp.c_Map_Odom tptp.c_Com_Obody tptp.tc_Com_Opname tptp.tc_Com_Ocom) tptp.tc_Com_Opname (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_bool)) tptp.tc_Com_Ostate)) :rule resolution :premises (t2.t2 t2.a0))
% 0.51/0.94  (step t2 (cl (not (forall ((V_G $$unsorted) (T_a $$unsorted)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool)) T_a))) (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oimage (tptp.c_COMBB tptp.c_Hoare__Mirabelle_OMGT tptp.c_Com_Ocom_OBODY tptp.tc_Com_Ocom (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_Com_Opname) (tptp.c_Map_Odom tptp.c_Com_Obody tptp.tc_Com_Opname tptp.tc_Com_Ocom) tptp.tc_Com_Opname (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_bool)) tptp.tc_Com_Ostate)) :rule subproof :discharge (t2.a0))
% 0.51/0.94  (step t3 (cl (=> (forall ((V_G $$unsorted) (T_a $$unsorted)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool)) T_a)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oimage (tptp.c_COMBB tptp.c_Hoare__Mirabelle_OMGT tptp.c_Com_Ocom_OBODY tptp.tc_Com_Ocom (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_Com_Opname) (tptp.c_Map_Odom tptp.c_Com_Obody tptp.tc_Com_Opname tptp.tc_Com_Ocom) tptp.tc_Com_Opname (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_bool)) tptp.tc_Com_Ostate)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oimage (tptp.c_COMBB tptp.c_Hoare__Mirabelle_OMGT tptp.c_Com_Ocom_OBODY tptp.tc_Com_Ocom (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_Com_Opname) (tptp.c_Map_Odom tptp.c_Com_Obody tptp.tc_Com_Opname tptp.tc_Com_Ocom) tptp.tc_Com_Opname (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_bool)) tptp.tc_Com_Ostate)) :rule resolution :premises (t1 t2))
% 0.51/0.94  (step t4 (cl (=> (forall ((V_G $$unsorted) (T_a $$unsorted)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool)) T_a)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oimage (tptp.c_COMBB tptp.c_Hoare__Mirabelle_OMGT tptp.c_Com_Ocom_OBODY tptp.tc_Com_Ocom (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_Com_Opname) (tptp.c_Map_Odom tptp.c_Com_Obody tptp.tc_Com_Opname tptp.tc_Com_Ocom) tptp.tc_Com_Opname (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_bool)) tptp.tc_Com_Ostate)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oimage (tptp.c_COMBB tptp.c_Hoare__Mirabelle_OMGT tptp.c_Com_Ocom_OBODY tptp.tc_Com_Ocom (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_Com_Opname) (tptp.c_Map_Odom tptp.c_Com_Obody tptp.tc_Com_Opname tptp.tc_Com_Ocom) tptp.tc_Com_Opname (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_bool)) tptp.tc_Com_Ostate))) :rule implies_neg2)
% 0.51/0.94  (step t5 (cl (=> (forall ((V_G $$unsorted) (T_a $$unsorted)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool)) T_a)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oimage (tptp.c_COMBB tptp.c_Hoare__Mirabelle_OMGT tptp.c_Com_Ocom_OBODY tptp.tc_Com_Ocom (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_Com_Opname) (tptp.c_Map_Odom tptp.c_Com_Obody tptp.tc_Com_Opname tptp.tc_Com_Ocom) tptp.tc_Com_Opname (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_bool)) tptp.tc_Com_Ostate)) (=> (forall ((V_G $$unsorted) (T_a $$unsorted)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool)) T_a)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oimage (tptp.c_COMBB tptp.c_Hoare__Mirabelle_OMGT tptp.c_Com_Ocom_OBODY tptp.tc_Com_Ocom (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_Com_Opname) (tptp.c_Map_Odom tptp.c_Com_Obody tptp.tc_Com_Opname tptp.tc_Com_Ocom) tptp.tc_Com_Opname (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_bool)) tptp.tc_Com_Ostate))) :rule resolution :premises (t3 t4))
% 0.51/0.94  (step t6 (cl (=> (forall ((V_G $$unsorted) (T_a $$unsorted)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool)) T_a)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oimage (tptp.c_COMBB tptp.c_Hoare__Mirabelle_OMGT tptp.c_Com_Ocom_OBODY tptp.tc_Com_Ocom (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_Com_Opname) (tptp.c_Map_Odom tptp.c_Com_Obody tptp.tc_Com_Opname tptp.tc_Com_Ocom) tptp.tc_Com_Opname (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_bool)) tptp.tc_Com_Ostate))) :rule contraction :premises (t5))
% 0.51/0.94  (step t7 (cl (not (forall ((V_G $$unsorted) (T_a $$unsorted)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool)) T_a))) (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oimage (tptp.c_COMBB tptp.c_Hoare__Mirabelle_OMGT tptp.c_Com_Ocom_OBODY tptp.tc_Com_Ocom (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_Com_Opname) (tptp.c_Map_Odom tptp.c_Com_Obody tptp.tc_Com_Opname tptp.tc_Com_Ocom) tptp.tc_Com_Opname (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_bool)) tptp.tc_Com_Ostate)) :rule implies :premises (t6))
% 0.51/0.94  (step t8 (cl (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oimage (tptp.c_COMBB tptp.c_Hoare__Mirabelle_OMGT tptp.c_Com_Ocom_OBODY tptp.tc_Com_Ocom (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_Com_Opname) (tptp.c_Map_Odom tptp.c_Com_Obody tptp.tc_Com_Opname tptp.tc_Com_Ocom) tptp.tc_Com_Opname (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate) tptp.tc_bool)) tptp.tc_Com_Ostate) (not (forall ((V_G $$unsorted) (T_a $$unsorted)) (tptp.c_Hoare__Mirabelle_Ohoare__derivs V_G (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple T_a) tptp.tc_bool)) T_a)))) :rule reordering :premises (t7))
% 0.51/0.94  (step t9 (cl) :rule resolution :premises (t8 a534 a520))
% 0.51/0.94  
% 0.51/0.95  % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.ALqfJmDhEi/cvc5---1.0.5_23211.smt2
% 0.51/0.95  % cvc5---1.0.5 exiting
% 0.51/0.95  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------