%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV885-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n024.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 18:16:19 EDT 2024

% Result   : Unsatisfiable 1.47s 1.67s
% Output   : Proof 1.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.22  % Problem    : SWV885-1 : TPTP v8.2.0. Released v4.1.0.
% 0.11/0.24  % Command    : do_cvc5 %s %d
% 0.23/0.45  % Computer : n024.cluster.edu
% 0.23/0.45  % Model    : x86_64 x86_64
% 0.23/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.45  % Memory   : 8042.1875MB
% 0.23/0.45  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.23/0.45  % CPULimit   : 300
% 0.23/0.45  % WCLimit    : 300
% 0.23/0.45  % DateTime   : Sun May 26 21:27:24 EDT 2024
% 0.23/0.45  % CPUTime    : 
% 0.71/0.86  %----Proving TF0_NAR, FOF, or CNF
% 0.71/0.86  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.47/1.67  % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.lvWuDzgyjI/cvc5---1.0.5_26330.smt2
% 1.47/1.67  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.lvWuDzgyjI/cvc5---1.0.5_26330.smt2
% 1.55/1.71  (assume a0 (forall ((V_m $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_m tptp.tc_nat)) (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) V_m tptp.tc_nat) V_m tptp.tc_nat))))
% 1.55/1.71  (assume a1 (forall ((V_m $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_m tptp.tc_nat)) (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Otimes__class_Otimes V_m (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) V_m tptp.tc_nat))))
% 1.55/1.71  (assume a2 (forall ((V_n $$unsorted)) (or (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_n (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)))))
% 1.55/1.71  (assume a3 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) T_a)))))
% 1.55/1.71  (assume a4 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.55/1.71  (assume a5 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_m V_k tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_n V_k tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat))))
% 1.55/1.71  (assume a6 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_k V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_k V_n tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat))))
% 1.55/1.71  (assume a7 (forall ((V_A $$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))))
% 1.55/1.71  (assume a8 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_x T_a)))))
% 1.55/1.71  (assume a9 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Otimes__class_Otimes V_m V_n tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_n V_m tptp.tc_nat))))
% 1.55/1.71  (assume a10 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.55/1.71  (assume a11 (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))
% 1.55/1.71  (assume a12 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.55/1.71  (assume a13 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_a T_a)))))
% 1.55/1.71  (assume a14 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a) (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a) T_a) V_c T_a)))))
% 1.55/1.71  (assume a15 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.55/1.71  (assume a16 (forall ((V_h $$unsorted) (V_F $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Ovimage V_h V_F T_b T_a) T_b) (not (tptp.c_Fun_Oinj__on V_h (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a)) (not (tptp.c_Finite__Set_Ofinite V_F T_a)))))
% 1.55/1.71  (assume a17 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_HOL_Otimes__class_Otimes V_m V_n tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_n (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) V_n tptp.tc_nat) tptp.tc_nat)) (= V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.55/1.71  (assume a18 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_z T_a) (not (tptp.c_HOL_Oord__class_Oless V_y V_z T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))))
% 1.55/1.71  (assume a19 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_A V_C (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_HOL_Oord__class_Oless V_B V_C (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_HOL_Oord__class_Oless V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.71  (assume a20 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))))
% 1.55/1.71  (assume a21 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Oplus__class_Oplus V_y V_z T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) V_z T_a)))))
% 1.55/1.71  (assume a22 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Oplus__class_Oplus V_y V_z T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus V_y (tptp.c_HOL_Oplus__class_Oplus V_x V_z T_a) T_a)))))
% 1.55/1.71  (assume a23 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (= (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Oplus__class_Oplus V_y V_z tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_y (tptp.c_HOL_Oplus__class_Oplus V_x V_z tptp.tc_nat) tptp.tc_nat))))
% 1.55/1.71  (assume a24 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) V_k tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_m (tptp.c_HOL_Oplus__class_Oplus V_n V_k tptp.tc_nat) tptp.tc_nat))))
% 1.55/1.71  (assume a25 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a)))))
% 1.55/1.71  (assume a26 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus V_b (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) T_a)))))
% 1.55/1.71  (assume a27 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a)))))
% 1.55/1.71  (assume a28 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_c V_d T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) V_d T_a)))))
% 1.55/1.71  (assume a29 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) V_b T_a)))))
% 1.55/1.71  (assume a30 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_c V_d T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus V_c (tptp.c_HOL_Oplus__class_Oplus V_a V_d T_a) T_a)))))
% 1.55/1.71  (assume a31 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a)))))
% 1.55/1.71  (assume a32 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_m tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) tptp.tc_nat)))))
% 1.55/1.71  (assume a33 (forall ((V_m $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))))
% 1.55/1.71  (assume a34 (forall ((V_n $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))))
% 1.55/1.71  (assume a35 (forall ((V_k $$unsorted)) (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_k tptp.tc_nat)))
% 1.55/1.71  (assume a36 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Oplus__class_Oplus V_y V_z T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus V_y V_u T_a))) (= (tptp.c_HOL_Oplus__class_Oplus V_x V_z T_a) V_u))))
% 1.55/1.71  (assume a37 (forall ((V_A $$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)))))
% 1.55/1.71  (assume a38 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Divides_Odiv__class_Omod V_m V_n tptp.tc_nat) V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.55/1.71  (assume a39 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add__meet T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_Lattices_Olower__semilattice__class_Oinf V_b V_c T_a) T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) T_a)))))
% 1.55/1.71  (assume a40 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add__meet T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Lattices_Olower__semilattice__class_Oinf V_a V_b T_a) V_c T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a)))))
% 1.55/1.71  (assume a41 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_Lattices_Olower__semilattice__class_Oinf V_b V_c T_a) T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) T_a)))))
% 1.55/1.71  (assume a42 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Lattices_Olower__semilattice__class_Oinf V_a V_b T_a) V_c T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a)))))
% 1.55/1.71  (assume a43 (forall ((V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_z V_x tptp.tc_nat)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_z V_y tptp.tc_nat) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_y V_z tptp.tc_nat)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_y V_x tptp.tc_nat) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_x V_y tptp.tc_nat)))))
% 1.55/1.71  (assume a44 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a) V_b T_a) V_c T_a)))))
% 1.55/1.71  (assume a45 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a) T_a) V_c T_a)))))
% 1.55/1.71  (assume a46 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Otimes__class_Otimes V_m V_n tptp.tc_nat) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat))) (= V_n (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)))))
% 1.55/1.71  (assume a47 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Otimes__class_Otimes V_m V_n tptp.tc_nat) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat))) (= V_m (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)))))
% 1.55/1.71  (assume a48 (= (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)))
% 1.55/1.71  (assume a49 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.55/1.71  (assume a50 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_HOL_Oplus__class_Oplus V_n V_m tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 1.55/1.71  (assume a51 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T_a)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))))
% 1.55/1.71  (assume a52 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oone__class_Oone T_a))))))
% 1.55/1.71  (assume a53 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Otimes__class_Otimes V_k V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_k V_n tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat)) (= V_m V_n))))
% 1.55/1.71  (assume a54 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat))) (= V_n (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.55/1.71  (assume a55 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) (tptp.c_HOL_Otimes__class_Otimes V_x V_z T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_z T_a) (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) T_a)))))
% 1.55/1.71  (assume a56 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_x V_d T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_d T_a) (tptp.c_HOL_Otimes__class_Otimes V_x V_c T_a) T_a)))))
% 1.55/1.71  (assume a57 (forall ((V_x $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_c tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_x V_d tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_d tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_x V_c tptp.tc_nat) tptp.tc_nat))))
% 1.55/1.71  (assume a58 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_y tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_x V_z tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_z tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_x V_y tptp.tc_nat) tptp.tc_nat))))
% 1.55/1.71  (assume a59 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.55/1.71  (assume a60 (forall ((V_n $$unsorted)) (= (tptp.c_Suc V_n) (tptp.c_HOL_Oplus__class_Oplus V_n (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))
% 1.55/1.71  (assume a61 (forall ((V_n $$unsorted)) (= (tptp.c_Suc V_n) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) V_n tptp.tc_nat))))
% 1.55/1.71  (assume a62 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a) V_b T_a) (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a)))))
% 1.55/1.71  (assume a63 (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 1.55/1.71  (assume a64 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a (tptp.c_HOL_Otimes__class_Otimes V_b V_a T_a) T_a))))
% 1.55/1.71  (assume a65 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a))))
% 1.55/1.71  (assume a66 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odvd T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_b (tptp.c_HOL_Otimes__class_Otimes V_b V_k T_a) T_a))))
% 1.55/1.71  (assume a67 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) T_a) (not (tptp.c_lessequals V_b V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.55/1.71  (assume a68 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a) V_a))))
% 1.55/1.71  (assume a69 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a) V_a))))
% 1.55/1.71  (assume a70 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a) V_a))))
% 1.55/1.71  (assume a71 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a) V_a))))
% 1.55/1.71  (assume a72 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__mult T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a) V_a))))
% 1.55/1.71  (assume a73 (forall ((V_n $$unsorted)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) V_n tptp.tc_nat) V_n)))
% 1.55/1.71  (assume a74 (forall ((V_n $$unsorted)) (= (tptp.c_HOL_Otimes__class_Otimes V_n (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) V_n)))
% 1.55/1.71  (assume a75 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_x T_a) V_x))))
% 1.55/1.71  (assume a76 (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (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 (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_in V_x V_A T_a)) (tptp.c_in V_x V_B T_a) (not (tptp.c_HOL_Oord__class_Oless V_A (tptp.c_Set_Oinsert V_x V_B T_a) (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.71  (assume a77 (forall ((V_A $$unsorted) (V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_A (tptp.c_Set_Oinsert V_x V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_HOL_Oord__class_Oless (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 (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_in V_x V_B T_a))))
% 1.55/1.71  (assume a78 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_e T_a) V_c T_a) T_a)))))
% 1.55/1.71  (assume a79 (forall ((V_f $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_Fun_Oinj__on V_f (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)))))
% 1.55/1.71  (assume a80 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_b T_a)))))
% 1.55/1.71  (assume a81 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_b T_a)))))
% 1.55/1.71  (assume a82 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Otimes__class_Otimes V_k V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_k V_n tptp.tc_nat) tptp.tc_nat) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_m V_n tptp.tc_nat)))))
% 1.55/1.71  (assume a83 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a) V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) V_c T_a)))))
% 1.55/1.71  (assume a84 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_d T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c V_d T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.55/1.71  (assume a85 (forall ((V_f $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Ovimage V_f (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_b tptp.tc_bool)) T_a T_b) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Set_Ovimage V_f V_A T_a T_b) (tptp.c_Set_Ovimage V_f V_B T_a T_b) (tptp.tc_fun T_a tptp.tc_bool)))))
% 1.55/1.71  (assume a86 (forall ((V_A $$unsorted) (V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_A (tptp.c_Set_Oinsert V_x V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool)) V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_HOL_Oord__class_Oless V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.71  (assume a87 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a) V_e T_a) V_d T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a)))))
% 1.55/1.71  (assume a88 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_u $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_i V_j tptp.tc_nat) V_u tptp.tc_nat) V_m tptp.tc_nat) V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_i V_u tptp.tc_nat) V_m tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_j V_u tptp.tc_nat) V_n tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_lessequals V_j V_i tptp.tc_nat)))))
% 1.55/1.71  (assume a89 (forall ((V_i $$unsorted) (V_u $$unsorted) (V_m $$unsorted) (V_j $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_i V_u tptp.tc_nat) V_m tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_j V_u tptp.tc_nat) V_n tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_i V_j tptp.tc_nat) V_u tptp.tc_nat) V_m tptp.tc_nat) V_n tptp.tc_nat)) (not (tptp.c_lessequals V_j V_i tptp.tc_nat)))))
% 1.55/1.71  (assume a90 (forall ((V_m $$unsorted) (V_j $$unsorted) (V_i $$unsorted) (V_u $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_j V_i tptp.tc_nat) V_u tptp.tc_nat) V_n tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_i V_u tptp.tc_nat) V_m tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_j V_u tptp.tc_nat) V_n tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))))
% 1.55/1.71  (assume a91 (forall ((V_i $$unsorted) (V_u $$unsorted) (V_m $$unsorted) (V_j $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_i V_u tptp.tc_nat) V_m tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_j V_u tptp.tc_nat) V_n tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_j V_i tptp.tc_nat) V_u tptp.tc_nat) V_n tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))))
% 1.55/1.72  (assume a92 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a))) (= V_c (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a) V_e T_a) V_d T_a)))))
% 1.55/1.72  (assume a93 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a))) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_e T_a) V_c T_a) V_d))))
% 1.55/1.72  (assume a94 (forall ((V_i $$unsorted) (V_m $$unsorted)) (tptp.c_HOL_Oord__class_Oless V_i (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus V_i V_m tptp.tc_nat)) tptp.tc_nat)))
% 1.55/1.72  (assume a95 (forall ((V_i $$unsorted) (V_m $$unsorted)) (tptp.c_HOL_Oord__class_Oless V_i (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus V_m V_i tptp.tc_nat)) tptp.tc_nat)))
% 1.55/1.72  (assume a96 (forall ((V_m $$unsorted) (V_x $$unsorted)) (tptp.c_HOL_Oord__class_Oless V_m (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus V_m V_x tptp.tc_nat)) tptp.tc_nat)))
% 1.55/1.72  (assume a97 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (= (tptp.c_Set_Ovimage V_f (tptp.c_Set_Oimage V_f V_A T_a T_b) T_a T_b) V_A) (not (tptp.c_Fun_Oinj__on V_f (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b)))))
% 1.55/1.72  (assume a98 (forall ((V_f $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Ovimage V_f (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_bool)) T_a T_b) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)))))
% 1.55/1.72  (assume a99 (forall ((V_A $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oinsert V_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool)))))
% 1.55/1.72  (assume a100 (forall ((V_A $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool)) V_B (tptp.tc_fun T_a tptp.tc_bool)))))
% 1.55/1.72  (assume a101 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (tptp.c_lessequals V_b (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) T_a) (not (tptp.c_lessequals V_b V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.55/1.72  (assume a102 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (tptp.c_lessequals V_b (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) T_a) (not (tptp.c_lessequals V_b V_a T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)))))
% 1.55/1.72  (assume a103 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Oplus__class_Oplus V_y V_z tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_nat)))))
% 1.55/1.72  (assume a104 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Oplus__class_Oplus V_y V_z tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_x V_z tptp.tc_nat)))))
% 1.55/1.72  (assume a105 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_i V_k tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_i V_j tptp.tc_nat) V_k tptp.tc_nat)))))
% 1.55/1.72  (assume a106 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_m $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_i (tptp.c_HOL_Oplus__class_Oplus V_j V_m tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_i V_j tptp.tc_nat)))))
% 1.55/1.72  (assume a107 (forall ((V_i $$unsorted) (V_m $$unsorted) (V_j $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_i (tptp.c_HOL_Oplus__class_Oplus V_m V_j tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_i V_j tptp.tc_nat)))))
% 1.55/1.72  (assume a108 (forall ((T_a $$unsorted) (V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k V_m T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k V_n T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k (tptp.c_Divides_Odiv__class_Omod V_m V_n T_a) T_a)))))
% 1.55/1.72  (assume a109 (forall ((T_a $$unsorted) (V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k (tptp.c_Divides_Odiv__class_Omod V_m V_n T_a) T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k V_m T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k V_n T_a)))))
% 1.55/1.72  (assume a110 (forall ((T_a $$unsorted) (V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k V_m T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k (tptp.c_Divides_Odiv__class_Omod V_m V_n T_a) T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k V_n T_a)))))
% 1.55/1.72  (assume a111 (forall ((T_a $$unsorted) (V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k (tptp.c_Divides_Odiv__class_Omod V_m V_n T_a) T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k V_n T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k V_m T_a)))))
% 1.55/1.72  (assume a112 (forall ((V_k $$unsorted) (V_m $$unsorted)) (or (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_Suc (tptp.c_HOL_Otimes__class_Otimes V_k V_m tptp.tc_nat)) V_k tptp.tc_nat) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) V_k tptp.tc_nat)))))
% 1.55/1.72  (assume a113 (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))
% 1.55/1.72  (assume a114 (forall ((V_A $$unsorted) (V_f $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_x $$unsorted)) (or (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into V_A V_f T_a T_b) (tptp.hAPP V_f V_x)) V_x) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)))))
% 1.55/1.72  (assume a115 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_aa $$unsorted) (V_f $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_x V_A T_aa)) (not (tptp.c_Fun_Oinj__on V_f V_A T_aa T_a)) (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into V_A V_f T_aa T_a) (tptp.hAPP V_f V_x)) V_x))))
% 1.55/1.72  (assume a116 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_y T_a) T_a) T_a))))
% 1.55/1.72  (assume a117 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) V_a))))
% 1.55/1.72  (assume a118 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.55/1.72  (assume a119 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Obounded__lattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x (tptp.c_Orderings_Obot__class_Obot T_a) T_a) (tptp.c_Orderings_Obot__class_Obot T_a)))))
% 1.55/1.72  (assume a120 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Obounded__lattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Orderings_Obot__class_Obot T_a) V_x T_a) (tptp.c_Orderings_Obot__class_Obot T_a)))))
% 1.55/1.72  (assume a121 (forall ((T_a $$unsorted) (V_B $$unsorted)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))
% 1.55/1.72  (assume a122 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))
% 1.55/1.72  (assume a123 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_a T_a)))))
% 1.55/1.72  (assume a124 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_a T_a)))))
% 1.55/1.72  (assume a125 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_n V_m tptp.tc_nat))))
% 1.55/1.72  (assume a126 (forall ((V_m $$unsorted) (V_l $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Oplus__class_Oplus V_m V_l tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_k V_n tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless V_k V_l tptp.tc_nat)) (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat))))
% 1.55/1.72  (assume a127 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) (tptp.c_HOL_Oplus__class_Oplus V_y V_x T_a)))))
% 1.55/1.72  (assume a128 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Otimes__class_Otimes V_m V_n tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (= V_m (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))))
% 1.55/1.72  (assume a129 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Otimes__class_Otimes V_m V_n tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (= V_n (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))))
% 1.55/1.72  (assume a130 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.c_Divides_Odiv__class_Omod V_m V_n tptp.tc_nat) V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a131 (forall ((V_A $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Finite__Set_Ocard V_A T_a) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (= (tptp.c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2 V_A (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a132 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Nat_Osemiring__char__0 T_a)) (not (= (tptp.c_Nat_Osemiring__1__class_Oof__nat V_m T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a))) (= V_m V_n))))
% 1.55/1.72  (assume a133 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= V_x (tptp.c_HOL_Oplus__class_Oplus V_x V_a T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.55/1.72  (assume a134 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) V_m)) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.55/1.72  (assume a135 (forall ((V_x $$unsorted) (V_a $$unsorted)) (or (not (= V_x (tptp.c_HOL_Oplus__class_Oplus V_x V_a tptp.tc_nat))) (= V_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.55/1.72  (assume a136 (forall ((V_f $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (= (tptp.c_Set_Oimage V_f (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Set_Oimage V_f V_A T_a T_b) (tptp.c_Set_Oimage V_f V_B T_a T_b) (tptp.tc_fun T_b tptp.tc_bool))) (not (tptp.c_Fun_Oinj__on V_f (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b)))))
% 1.55/1.72  (assume a137 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 1.55/1.72  (assume a138 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)))))
% 1.55/1.72  (assume a139 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 1.55/1.72  (assume a140 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)))))
% 1.55/1.72  (assume a141 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a) (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a) T_a) V_c T_a)))))
% 1.55/1.72  (assume a142 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Otimes__class_Otimes V_k V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_k V_n tptp.tc_nat))) (= V_m V_n) (= V_k (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.55/1.72  (assume a143 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Otimes__class_Otimes V_k V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_k V_n tptp.tc_nat))) (= V_k (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (= V_m V_n))))
% 1.55/1.72  (assume a144 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Otimes__class_Otimes V_m V_k tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_n V_k tptp.tc_nat))) (= V_k (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (= V_m V_n))))
% 1.55/1.72  (assume a145 (forall ((T_a $$unsorted) (V_m $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_m V_m T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a) V_m T_a)))))
% 1.55/1.72  (assume a146 (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)))
% 1.55/1.72  (assume a147 (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)))))
% 1.55/1.72  (assume a148 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.55/1.72  (assume a149 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.55/1.72  (assume a150 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.55/1.72  (assume a151 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.55/1.72  (assume a152 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.55/1.72  (assume a153 (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 1.55/1.72  (assume a154 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a) V_e T_a) V_d T_a) T_a)))))
% 1.55/1.72  (assume a155 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat))) (= V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (= V_m (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))))
% 1.55/1.72  (assume a156 (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))))
% 1.55/1.72  (assume a157 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_m V_k tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_n V_k tptp.tc_nat) tptp.tc_nat)))))
% 1.55/1.72  (assume a158 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_k V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_k V_n tptp.tc_nat) tptp.tc_nat)))))
% 1.55/1.72  (assume a159 (forall ((T_a $$unsorted) (V_m $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T_a)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat (tptp.c_Suc V_m) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_m T_a) T_a)))))
% 1.55/1.72  (assume a160 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_m V_k tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_n V_k tptp.tc_nat) tptp.tc_nat)))))
% 1.55/1.72  (assume a161 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_k V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_k V_n tptp.tc_nat) tptp.tc_nat)))))
% 1.55/1.72  (assume a162 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_k V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_k V_n tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat)))))
% 1.55/1.72  (assume a163 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_k V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_k V_n tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat)))))
% 1.55/1.72  (assume a164 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_b V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a165 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_lessequals V_b V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a166 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)))))
% 1.55/1.72  (assume a167 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_lessequals V_a V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)))))
% 1.55/1.72  (assume a168 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_lessequals V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)))))
% 1.55/1.72  (assume a169 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_lessequals V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 1.55/1.72  (assume a170 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Otimes__class_Otimes V_m V_n tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_m tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a171 (forall ((V_f $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (tptp.c_Fun_Oinj__on V_f (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b)))
% 1.55/1.72  (assume a172 (forall ((V_n $$unsorted)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Suc V_n) tptp.tc_nat)))
% 1.55/1.72  (assume a173 (forall ((V_x $$unsorted)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Suc V_x) tptp.tc_nat)))
% 1.55/1.72  (assume a174 (forall ((V_A $$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)))))
% 1.55/1.72  (assume a175 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_x T_a)))))
% 1.55/1.72  (assume a176 (forall ((T_a $$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)))))
% 1.55/1.72  (assume a177 (forall ((V_i $$unsorted) (V_u $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_i V_u tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_j V_u tptp.tc_nat) V_k tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_i V_j tptp.tc_nat) V_u tptp.tc_nat) V_k tptp.tc_nat))))
% 1.55/1.72  (assume a178 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_c T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_e T_a) V_c T_a)))))
% 1.55/1.72  (assume a179 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T_a)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.55/1.72  (assume a180 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oinsert V_a (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.c_Set_Oinsert V_a V_A T_a))))
% 1.55/1.72  (assume a181 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_m V_n tptp.tc_nat) tptp.tc_nat)))))
% 1.55/1.72  (assume a182 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_m tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_m V_n tptp.tc_nat) tptp.tc_nat)))))
% 1.55/1.72  (assume a183 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a184 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.55/1.72  (assume a185 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_y T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a186 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_y T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a187 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod V_b V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_b T_a)))))
% 1.55/1.72  (assume a188 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (not (= (tptp.c_Divides_Odiv__class_Omod V_b V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_b T_a))))
% 1.55/1.72  (assume a189 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.55/1.72  (assume a190 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.55/1.72  (assume a191 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.55/1.72  (assume a192 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a193 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.55/1.72  (assume a194 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a195 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.55/1.72  (assume a196 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a197 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_b V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.55/1.72  (assume a198 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a199 (forall ((V_f $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (= (tptp.c_Set_Oimage V_f (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Set_Oimage V_f V_A T_a T_b) (tptp.c_Set_Oimage V_f V_B T_a T_b) (tptp.tc_fun T_b tptp.tc_bool))) (not (tptp.c_Fun_Oinj__on V_f (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b)))))
% 1.55/1.72  (assume a200 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Suc V_k) V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Suc V_k) V_n tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a201 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Suc V_k) V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Suc V_k) V_n tptp.tc_nat) tptp.tc_nat)))))
% 1.55/1.72  (assume a202 (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))
% 1.55/1.72  (assume a203 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (= (tptp.c_HOL_Oplus__class_Oplus V_x V_y tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_x V_z tptp.tc_nat))) (= V_y V_z))))
% 1.55/1.72  (assume a204 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Oplus__class_Oplus V_m V_k tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_n V_k tptp.tc_nat))) (= V_m V_n))))
% 1.55/1.72  (assume a205 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Oplus__class_Oplus V_k V_m tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_k V_n tptp.tc_nat))) (= V_m V_n))))
% 1.55/1.72  (assume a206 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) (tptp.c_HOL_Oplus__class_Oplus V_x V_z T_a))) (= V_y V_z))))
% 1.55/1.72  (assume a207 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a))) (= V_b V_c))))
% 1.55/1.72  (assume a208 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__semigroup__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a))) (= V_b V_c))))
% 1.55/1.72  (assume a209 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__semigroup__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_b V_a T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_a T_a))) (= V_b V_c))))
% 1.55/1.72  (assume a210 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) V_x T_a) (not (tptp.c_lessequals V_y (tptp.c_HOL_Oone__class_Oone T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 1.55/1.72  (assume a211 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_y V_x T_a) V_x T_a) (not (tptp.c_lessequals V_y (tptp.c_HOL_Oone__class_Oone T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 1.55/1.72  (assume a212 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_Suc (tptp.c_Divides_Odiv__class_Omod V_m V_n tptp.tc_nat)) V_n)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_Suc V_m) V_n tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.55/1.72  (assume a213 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a) V_b T_a) V_c T_a)))))
% 1.55/1.72  (assume a214 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a) T_a) V_c T_a)))))
% 1.55/1.72  (assume a215 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (= V_n (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.55/1.72  (assume a216 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (= V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (= V_m (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))))
% 1.55/1.72  (assume a217 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_y T_a) T_a) T_a) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.55/1.72  (assume a218 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_y T_a) T_a) T_a) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.55/1.72  (assume a219 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_d T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_d T_a) T_a)))))
% 1.55/1.72  (assume a220 (forall ((V_A $$unsorted) (V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_A (tptp.c_Set_Oinsert V_x V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_HOL_Oord__class_Oless (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 (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_HOL_Oord__class_Oless V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a221 (forall ((T_a $$unsorted) (V_m $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Nat_Osemiring__1__class_Oof__nat V_m T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a222 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_c T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_b T_a)))))
% 1.55/1.72  (assume a223 (forall ((T_a $$unsorted) (V_f $$unsorted) (T_b $$unsorted) (V_X $$unsorted)) (or (= (tptp.c_Set_Oimage (tptp.c_Hilbert__Choice_Oinv__into (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) V_f T_a T_b) (tptp.c_Set_Oimage V_f V_X T_a T_b) T_b T_a) V_X) (not (tptp.c_Fun_Oinj__on V_f (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b)))))
% 1.55/1.72  (assume a224 (forall ((T_a $$unsorted) (V_f $$unsorted) (T_b $$unsorted) (V_A $$unsorted)) (or (= (tptp.c_Set_Oimage (tptp.c_Hilbert__Choice_Oinv__into (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) V_f T_a T_b) (tptp.c_Set_Oimage V_f V_A T_a T_b) T_b T_a) V_A) (not (tptp.c_Fun_Oinj__on V_f (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b)))))
% 1.55/1.72  (assume a225 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A (tptp.c_HOL_Ominus__class_Ominus V_B V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))
% 1.55/1.72  (assume a226 (forall ((V_m $$unsorted)) (or (= V_m (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_m (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)))))
% 1.55/1.72  (assume a227 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)))))
% 1.55/1.72  (assume a228 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)))))
% 1.55/1.72  (assume a229 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 1.55/1.72  (assume a230 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 1.55/1.72  (assume a231 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)))
% 1.55/1.72  (assume a232 (forall ((T_a $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Finite__Set_Ocard (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) tptp.tc_nat))))
% 1.55/1.72  (assume a233 (forall ((V_P $$unsorted) (V_n $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_n)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_ATP__Linkup_Osko__Nat__Xfull__nat__induct__1__1 V_P)))))))
% 1.55/1.72  (assume a234 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Otimes__class_Otimes V_k (tptp.c_Divides_Odiv__class_Omod V_m V_n tptp.tc_nat) tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes V_k V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_k V_n tptp.tc_nat) tptp.tc_nat))))
% 1.55/1.72  (assume a235 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Divides_Odiv__class_Omod V_m V_n tptp.tc_nat) V_k tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes V_m V_k tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_n V_k tptp.tc_nat) tptp.tc_nat))))
% 1.55/1.72  (assume a236 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_m V_k tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_n V_k tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat)))))
% 1.55/1.72  (assume a237 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_k V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_k V_n tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat)))))
% 1.55/1.72  (assume a238 (forall ((V_k $$unsorted) (V_i $$unsorted) (V_j $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_k V_i tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_k V_j tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_i V_j tptp.tc_nat)))))
% 1.55/1.72  (assume a239 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_i V_k tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_j V_k tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_i V_j tptp.tc_nat)))))
% 1.55/1.72  (assume a240 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_k V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_k V_n tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat)))))
% 1.55/1.72  (assume a241 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_k V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_k V_n tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat)))))
% 1.55/1.72  (assume a242 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a243 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a244 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)))))
% 1.55/1.72  (assume a245 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)))))
% 1.55/1.72  (assume a246 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)))))
% 1.55/1.72  (assume a247 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.55/1.72  (assume a248 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)))))
% 1.55/1.72  (assume a249 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a250 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)))))
% 1.55/1.72  (assume a251 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.55/1.72  (assume a252 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)))))
% 1.55/1.72  (assume a253 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a254 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.55/1.72  (assume a255 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a) V_e T_a) V_d T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a) T_a)))))
% 1.55/1.72  (assume a256 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_e T_a) V_c T_a) V_d T_a)))))
% 1.55/1.72  (assume a257 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_e T_a) V_c T_a) V_d T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a) T_a)))))
% 1.55/1.72  (assume a258 (forall ((V_A $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Finite__Set_Ocard V_A T_a) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (= (tptp.c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2 V_A (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a259 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors T_a)) (not (= (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.55/1.72  (assume a260 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (= (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.55/1.72  (assume a261 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (= (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.55/1.72  (assume a262 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Otimes__class_Otimes V_m V_n tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (= V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.55/1.72  (assume a263 (forall ((V_m $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (= (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd V_m V_a V_b T_a T_b) V_c V_d T_a T_b) (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd V_m V_c V_d T_a T_b) V_a V_b T_a T_b)) (= V_a V_c))))
% 1.55/1.72  (assume a264 (forall ((V_A $$unsorted) (T_a $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 1.55/1.72  (assume a265 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_b_H $$unsorted) (V_a $$unsorted) (V_a_H $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (not (= (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a) (tptp.c_Divides_Odiv__class_Omod V_b_H V_c T_a))) (not (= (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a) (tptp.c_Divides_Odiv__class_Omod V_a_H V_c T_a))) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus V_a_H V_b_H T_a) V_c T_a)))))
% 1.55/1.72  (assume a266 (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))
% 1.55/1.72  (assume a267 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a268 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a269 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a270 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a271 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat))) (= V_n (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= V_m (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))))
% 1.55/1.72  (assume a272 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat))) (= V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.55/1.72  (assume a273 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_a T_a) T_a)))))
% 1.55/1.72  (assume a274 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)))))
% 1.55/1.72  (assume a275 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.55/1.72  (assume a276 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a277 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_m V_n tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_m tptp.tc_nat)))))
% 1.55/1.72  (assume a278 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.hAPP V_f V_x) (tptp.hAPP V_f V_y))) (not (tptp.c_Fun_Oinj__on V_f (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b)) (= V_x V_y))))
% 1.55/1.72  (assume a279 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Otimes__class_Otimes V_m (tptp.c_Suc V_n) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_m (tptp.c_HOL_Otimes__class_Otimes V_m V_n tptp.tc_nat) tptp.tc_nat))))
% 1.55/1.72  (assume a280 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Suc V_m) V_n tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_n (tptp.c_HOL_Otimes__class_Otimes V_m V_n tptp.tc_nat) tptp.tc_nat))))
% 1.55/1.72  (assume a281 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a282 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) V_z T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_z T_a) T_a)))))
% 1.55/1.72  (assume a283 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_z T_a) T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_z T_a) T_a)))))
% 1.55/1.72  (assume a284 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_z T_a) T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_z T_a) T_a)))))
% 1.55/1.72  (assume a285 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) V_z T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_z T_a) T_a)))))
% 1.55/1.72  (assume a286 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A (tptp.c_Lattices_Olower__semilattice__class_Oinf V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 1.55/1.72  (assume a287 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A (tptp.c_Lattices_Olower__semilattice__class_Oinf V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_B (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 1.55/1.72  (assume a288 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (= (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))))))
% 1.55/1.72  (assume a289 (forall ((T_a $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Finite__Set_Ocard (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) T_a) tptp.tc_nat) (not (tptp.c_Finite__Set_Ofinite (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))
% 1.55/1.72  (assume a290 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_y T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a291 (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))
% 1.55/1.72  (assume a292 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T_a)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat (tptp.c_HOL_Otimes__class_Otimes V_m V_n tptp.tc_nat) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Nat_Osemiring__1__class_Oof__nat V_m T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a) T_a)))))
% 1.55/1.72  (assume a293 (forall ((V_k $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_k V_n tptp.tc_nat) V_m tptp.tc_nat)) V_n tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod (tptp.c_Suc V_m) V_n tptp.tc_nat))))
% 1.55/1.72  (assume a294 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_w V_y T_a) (tptp.c_HOL_Otimes__class_Otimes V_x V_z T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_w V_z T_a) (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) T_a))) (= V_y V_z) (= V_w V_x))))
% 1.55/1.72  (assume a295 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_d T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_d T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a))) (= V_c V_d) (= V_a V_b))))
% 1.55/1.72  (assume a296 (forall ((V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_c tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_b V_d tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_d tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_b V_c tptp.tc_nat) tptp.tc_nat))) (= V_c V_d) (= V_a V_b))))
% 1.55/1.72  (assume a297 (forall ((V_w $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (V_z $$unsorted)) (or (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_w V_y tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_x V_z tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_w V_z tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_x V_y tptp.tc_nat) tptp.tc_nat))) (= V_y V_z) (= V_w V_x))))
% 1.55/1.72  (assume a298 (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))))
% 1.55/1.72  (assume a299 (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)))))
% 1.55/1.72  (assume a300 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_B $$unsorted)) (or (not (= (tptp.c_Set_Oimage V_f V_A T_a T_b) (tptp.c_Set_Oimage V_f V_B T_a T_b))) (not (tptp.c_Fun_Oinj__on V_f (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b)) (= V_A V_B))))
% 1.55/1.72  (assume a301 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a302 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a303 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= V_m (tptp.c_HOL_Otimes__class_Otimes V_m V_n tptp.tc_nat))) (= V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (= V_n (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)))))
% 1.55/1.72  (assume a304 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))
% 1.55/1.72  (assume a305 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (not (tptp.class_Lattices_Obounded__lattice T_a)) (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B T_a) (tptp.c_Orderings_Otop__class_Otop T_a))) (= V_B (tptp.c_Orderings_Otop__class_Otop T_a)))))
% 1.55/1.72  (assume a306 (forall ((T_a $$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)))))
% 1.55/1.72  (assume a307 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_b_H $$unsorted) (V_a $$unsorted) (V_a_H $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (not (= (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a) (tptp.c_Divides_Odiv__class_Omod V_b_H V_c T_a))) (not (= (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a) (tptp.c_Divides_Odiv__class_Omod V_a_H V_c T_a))) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes V_a_H V_b_H T_a) V_c T_a)))))
% 1.55/1.72  (assume a308 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))
% 1.55/1.72  (assume a309 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 1.55/1.72  (assume a310 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_ly $$unsorted) (V_rx $$unsorted) (V_ry $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_ly T_a) (tptp.c_HOL_Otimes__class_Otimes V_rx V_ry T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_rx T_a) (tptp.c_HOL_Otimes__class_Otimes V_ly V_ry T_a) T_a)))))
% 1.55/1.72  (assume a311 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_ly $$unsorted) (V_rx $$unsorted) (V_ry $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_ly T_a) (tptp.c_HOL_Otimes__class_Otimes V_rx V_ry T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_lx (tptp.c_HOL_Otimes__class_Otimes V_ly (tptp.c_HOL_Otimes__class_Otimes V_rx V_ry T_a) T_a) T_a)))))
% 1.55/1.72  (assume a312 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_ly $$unsorted) (V_rx $$unsorted) (V_ry $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_ly T_a) (tptp.c_HOL_Otimes__class_Otimes V_rx V_ry T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_rx (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_ly T_a) V_ry T_a) T_a)))))
% 1.55/1.72  (assume a313 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a))))
% 1.55/1.72  (assume a314 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.55/1.72  (assume a315 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.55/1.72  (assume a316 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.55/1.72  (assume a317 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.55/1.72  (assume a318 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.55/1.72  (assume a319 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.55/1.72  (assume a320 (forall ((V_n $$unsorted)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 1.55/1.72  (assume a321 (forall ((V_m $$unsorted)) (= (tptp.c_HOL_Otimes__class_Otimes V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 1.55/1.72  (assume a322 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.55/1.72  (assume a323 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_m $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_m T_a) V_m T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a) V_m T_a)))))
% 1.55/1.72  (assume a324 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_m (tptp.c_HOL_Otimes__class_Otimes V_a V_m T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a) V_m T_a)))))
% 1.55/1.72  (assume a325 (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)))))
% 1.55/1.72  (assume a326 (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)))))
% 1.55/1.72  (assume a327 (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)))))
% 1.55/1.72  (assume a328 (forall ((V_m $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod V_m (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 1.55/1.72  (assume a329 (forall ((T_a $$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))))))
% 1.55/1.72  (assume a330 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) V_n tptp.tc_nat))) (= V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.55/1.72  (assume a331 (forall ((V_P $$unsorted) (V_i $$unsorted) (V_j $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_i)) (tptp.c_HOL_Oord__class_Oless (tptp.c_ATP__Linkup_Osko__Nat__Xinc__induct__1__1 V_P V_j) V_j tptp.tc_nat) (not (tptp.hBOOL (tptp.hAPP V_P V_j))) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))))
% 1.55/1.72  (assume a332 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_z $$unsorted)) (= (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd V_f V_x V_y T_a T_b) V_x V_z T_a T_b) (tptp.c_Fun_Ofun__upd V_f V_x V_z T_a T_b))))
% 1.55/1.72  (assume a333 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_x V_B T_a)) (not (tptp.c_in V_x V_A T_a)) (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))))
% 1.55/1.72  (assume a334 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.55/1.72  (assume a335 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Obounded__lattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x (tptp.c_Orderings_Otop__class_Otop T_a) T_a) V_x))))
% 1.55/1.72  (assume a336 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Obounded__lattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Orderings_Otop__class_Otop T_a) V_x T_a) V_x))))
% 1.55/1.72  (assume a337 (forall ((T_a $$unsorted) (V_B $$unsorted)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) V_B (tptp.tc_fun T_a tptp.tc_bool)) V_B)))
% 1.55/1.72  (assume a338 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) V_A)))
% 1.55/1.72  (assume a339 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oimage V_f (tptp.c_Set_Ovimage V_f V_A T_b T_a) T_b T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A (tptp.c_Set_Oimage V_f (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a) (tptp.tc_fun T_a tptp.tc_bool)))))
% 1.55/1.72  (assume a340 (forall ((V_k $$unsorted) (V_n $$unsorted)) (or (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k V_n tptp.tc_nat) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k (tptp.c_HOL_Oplus__class_Oplus V_n V_k tptp.tc_nat) tptp.tc_nat)))))
% 1.55/1.72  (assume a341 (forall ((V_k $$unsorted) (V_n $$unsorted)) (or (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k (tptp.c_HOL_Oplus__class_Oplus V_n V_k tptp.tc_nat) tptp.tc_nat) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a342 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_C (tptp.tc_fun T_a tptp.tc_bool)) V_B (tptp.tc_fun T_a tptp.tc_bool)))))
% 1.55/1.72  (assume a343 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_Divides_Odiv__class_Omod V_m V_n tptp.tc_nat) V_m) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a344 (= (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))
% 1.55/1.72  (assume a345 (forall ((V_x $$unsorted) (T_a $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x (tptp.tc_fun T_a tptp.tc_bool)))))
% 1.55/1.72  (assume a346 (forall ((V_x $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x tptp.tc_nat))))
% 1.55/1.72  (assume a347 (forall ((V_n $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_n V_n tptp.tc_nat))))
% 1.55/1.72  (assume a348 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x T_a)))))
% 1.55/1.72  (assume a349 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x T_a)))))
% 1.55/1.72  (assume a350 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x T_a)))))
% 1.55/1.72  (assume a351 (forall ((T_a $$unsorted) (V_x $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) V_x))))
% 1.55/1.72  (assume a352 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.55/1.72  (assume a353 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a354 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (= V_x V_y))))
% 1.55/1.72  (assume a355 (forall ((T_a $$unsorted)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 1.55/1.72  (assume a356 (forall ((V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Finite__Set_Ocard V_A T_a) tptp.tc_nat) (not (tptp.c_Finite__Set_Ofinite V_A T_a)) (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a357 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_d T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals V_c V_d T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.55/1.72  (assume a358 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_d T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals V_c V_d T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.55/1.72  (assume a359 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a) T_a))))
% 1.55/1.72  (assume a360 (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))))))
% 1.55/1.72  (assume a361 (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))))))
% 1.55/1.72  (assume a362 (forall ((V_k $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_k V_n tptp.tc_nat) V_m tptp.tc_nat) V_n tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod V_m V_n tptp.tc_nat))))
% 1.55/1.72  (assume a363 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) V_b T_a) (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a)))))
% 1.55/1.72  (assume a364 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a) V_b T_a) (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a)))))
% 1.55/1.72  (assume a365 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.c_Fun_Ofun__upd V_f V_x V_y T_a T_b) V_f)) (= (tptp.hAPP V_f V_x) V_y))))
% 1.55/1.72  (assume a366 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_m $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_m T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_m T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_m T_a)))))
% 1.55/1.72  (assume a367 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_Ring__and__Field_Odvd__class_Odvd V_m V_n tptp.tc_nat) (= V_k (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Otimes__class_Otimes V_k V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_k V_n tptp.tc_nat) tptp.tc_nat)))))
% 1.55/1.72  (assume a368 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_b T_a) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)))))
% 1.55/1.72  (assume a369 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_b T_a) (= V_c (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 1.55/1.72  (assume a370 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a) T_a))))
% 1.55/1.72  (assume a371 (forall ((T_a $$unsorted) (V_m $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_m T_a) T_a))))
% 1.55/1.72  (assume a372 (forall ((V_f $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_A $$unsorted)) (or (tptp.c_lessequals (tptp.c_Set_Ovimage V_f V_B T_a T_b) V_A (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_B (tptp.c_Set_Oimage V_f V_A T_a T_b) (tptp.tc_fun T_b tptp.tc_bool))) (not (tptp.c_Fun_Oinj__on V_f (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b)))))
% 1.55/1.72  (assume a373 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a) V_x))))
% 1.55/1.72  (assume a374 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) V_a))))
% 1.55/1.72  (assume a375 (forall ((V_x $$unsorted)) (= V_x (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))))
% 1.55/1.72  (assume a376 (forall ((V_n $$unsorted)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat) V_n)))
% 1.55/1.72  (assume a377 (forall ((V_m $$unsorted)) (= (tptp.c_HOL_Oplus__class_Oplus V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) V_m)))
% 1.55/1.72  (assume a378 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= V_x (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a379 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) V_a))))
% 1.55/1.72  (assume a380 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) V_a))))
% 1.55/1.72  (assume a381 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) V_a))))
% 1.55/1.72  (assume a382 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) V_a))))
% 1.55/1.72  (assume a383 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) V_a))))
% 1.55/1.72  (assume a384 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a) T_a)))))
% 1.55/1.72  (assume a385 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)))))
% 1.55/1.72  (assume a386 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)))))
% 1.55/1.72  (assume a387 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)))))
% 1.55/1.72  (assume a388 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)))))
% 1.55/1.72  (assume a389 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Otimes__class_Otimes V_m V_n T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_n T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_m T_a)))))
% 1.55/1.72  (assume a390 (forall ((V_j $$unsorted) (V_k $$unsorted) (V_P $$unsorted) (V_i $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless V_j V_k tptp.tc_nat)) (= V_k (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_k V_i tptp.tc_nat) V_j tptp.tc_nat) V_k tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP V_P V_j)))))
% 1.55/1.72  (assume a391 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_d T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c V_d T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.55/1.72  (assume a392 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_d T_a) T_a) (not (tptp.c_lessequals V_c V_d T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.55/1.72  (assume a393 (forall ((V_f $$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)))))
% 1.55/1.72  (assume a394 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a395 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_m tptp.tc_nat)))))
% 1.55/1.72  (assume a396 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) T_a)))))
% 1.55/1.72  (assume a397 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.55/1.72  (assume a398 (forall ((V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_z V_x tptp.tc_nat)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_y V_z tptp.tc_nat)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_y V_x tptp.tc_nat) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_x V_y tptp.tc_nat)))))
% 1.55/1.72  (assume a399 (forall ((V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_z V_x tptp.tc_nat)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_z V_y tptp.tc_nat) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_y V_z tptp.tc_nat)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_x V_y tptp.tc_nat)))))
% 1.55/1.72  (assume a400 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (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.c_in V_c V_B T_a)) (not (tptp.c_in V_c V_A T_a)))))
% 1.55/1.72  (assume a401 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (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.c_in V_c V_B T_a)) (not (tptp.c_in V_c V_A T_a)))))
% 1.55/1.72  (assume a402 (forall ((V_x $$unsorted) (T_a $$unsorted)) (not (tptp.c_in V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a))))
% 1.55/1.72  (assume a403 (forall ((V_P $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_x)) (not (tptp.c_in V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))
% 1.55/1.72  (assume a404 (forall ((V_c $$unsorted) (T_a $$unsorted)) (not (tptp.c_in V_c (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a))))
% 1.55/1.72  (assume a405 (forall ((V_a $$unsorted) (T_a $$unsorted)) (not (tptp.c_in V_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a))))
% 1.55/1.72  (assume a406 (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.c_in V_x (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) T_a)))
% 1.55/1.72  (assume a407 (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_c V_B T_a)) (not (tptp.c_in V_c (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))
% 1.55/1.72  (assume a408 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_c V_A T_a) (not (tptp.c_in V_c (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))
% 1.55/1.72  (assume a409 (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_c V_B T_a) (not (tptp.c_in V_c V_A T_a)) (not (tptp.c_HOL_Oord__class_Oless V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a410 (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_c V_B T_a) (not (tptp.c_in V_c (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))
% 1.55/1.72  (assume a411 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_c V_A T_a) (not (tptp.c_in V_c (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))
% 1.55/1.72  (assume a412 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.hAPP V_f V_x) (tptp.hAPP V_f V_y))) (not (tptp.c_in V_y V_A T_a)) (not (tptp.c_in V_x V_A T_a)) (= V_x V_y) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)))))
% 1.55/1.72  (assume a413 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.hAPP V_f V_x) (tptp.hAPP V_f V_y))) (not (tptp.c_in V_y V_A T_a)) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)) (= V_x V_y))))
% 1.55/1.72  (assume a414 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_xa $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.hAPP V_f V_x) (tptp.hAPP V_f V_xa))) (not (tptp.c_in V_xa V_A T_a)) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)) (= V_x V_xa))))
% 1.55/1.72  (assume a415 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.hAPP V_f V_x) (tptp.hAPP V_f V_y))) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)) (= V_x V_y) (not (tptp.c_in V_y V_A T_a)) (not (tptp.c_in V_x V_A T_a)))))
% 1.55/1.72  (assume a416 (forall ((V_P $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P V_x))) (not (tptp.c_in V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))
% 1.55/1.72  (assume a417 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (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.c_in V_c V_B T_a) (not (tptp.c_in V_c V_A T_a)))))
% 1.55/1.72  (assume a418 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (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.c_in V_c V_B T_a) (not (tptp.c_in V_c V_A T_a)))))
% 1.55/1.72  (assume a419 (forall ((V_a $$unsorted) (V_f $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_in V_a (tptp.c_Set_Ovimage V_f V_B T_a T_b) T_a) (not (tptp.c_in (tptp.hAPP V_f V_a) V_B T_b)))))
% 1.55/1.72  (assume a420 (forall ((V_a $$unsorted) (V_f $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_a (tptp.c_Set_Ovimage V_f V_A T_b T_a) T_b) (not (tptp.c_in (tptp.hAPP V_f V_a) V_A T_a)))))
% 1.55/1.72  (assume a421 (forall ((V_a $$unsorted) (V_f $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_a (tptp.c_Set_Ovimage V_f V_B T_b T_a) T_b) (not (tptp.c_in (tptp.hAPP V_f V_a) V_B T_a)))))
% 1.55/1.72  (assume a422 (forall ((V_f $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.hAPP V_f V_a) V_B T_b) (not (tptp.c_in V_a (tptp.c_Set_Ovimage V_f V_B T_a T_b) T_a)))))
% 1.55/1.72  (assume a423 (forall ((V_f $$unsorted) (V_a $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.hAPP V_f V_a) V_A T_b) (not (tptp.c_in V_a (tptp.c_Set_Ovimage V_f V_A T_a T_b) T_a)))))
% 1.55/1.72  (assume a424 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= V_x V_y) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (not (tptp.c_lessequals V_x V_y T_a)))))
% 1.55/1.72  (assume a425 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a))))
% 1.55/1.72  (assume a426 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_lessequals V_a V_b T_a)) (= V_a V_b))))
% 1.55/1.72  (assume a427 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (= V_a V_b) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.55/1.72  (assume a428 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (= V_x V_y) (not (tptp.c_lessequals V_x V_y T_a)))))
% 1.55/1.72  (assume a429 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (not (tptp.c_lessequals V_x V_y T_a)))))
% 1.55/1.72  (assume a430 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (not (tptp.c_lessequals V_b V_a T_a)) (= V_a V_b))))
% 1.55/1.72  (assume a431 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (= V_a V_b) (not (tptp.c_lessequals V_b V_a T_a)))))
% 1.55/1.72  (assume a432 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_d $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_d T_a) T_a) (not (tptp.c_lessequals V_c V_d T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a)))))
% 1.55/1.72  (assume a433 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_z T_a) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))))
% 1.55/1.72  (assume a434 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_z T_a) (not (tptp.c_HOL_Oord__class_Oless V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 1.55/1.72  (assume a435 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))))
% 1.55/1.72  (assume a436 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_lessequals V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))))
% 1.55/1.72  (assume a437 (forall ((T_a $$unsorted) (V_X $$unsorted) (V_f $$unsorted)) (or (not (tptp.class_Complete__Lattice_Ocomplete__lattice T_a)) (tptp.c_lessequals V_X (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp V_f T_a) T_a) (not (tptp.c_lessequals V_X (tptp.hAPP V_f V_X) T_a)))))
% 1.55/1.72  (assume a438 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Otop T_a)) (tptp.c_lessequals V_x (tptp.c_Orderings_Otop__class_Otop T_a) T_a))))
% 1.55/1.72  (assume a439 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) V_x T_a))))
% 1.55/1.72  (assume a440 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) V_y T_a))))
% 1.55/1.72  (assume a441 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_a V_b T_a) T_a) (not (tptp.c_lessequals V_x V_b T_a)) (not (tptp.c_lessequals V_x V_a T_a)))))
% 1.55/1.72  (assume a442 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_z T_a) T_a) (not (tptp.c_lessequals V_x V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 1.55/1.72  (assume a443 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_z T_a) T_a) (not (tptp.c_lessequals V_x V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 1.55/1.72  (assume a444 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (tptp.c_lessequals (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) V_y T_a))))
% 1.55/1.72  (assume a445 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (tptp.c_lessequals (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) V_x T_a))))
% 1.55/1.72  (assume a446 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_c V_a T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_b T_a) T_a) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.55/1.72  (assume a447 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.55/1.72  (assume a448 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (tptp.c_lessequals V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_c V_a T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_b T_a) T_a)))))
% 1.55/1.72  (assume a449 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_c V_a T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_b T_a) T_a) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.55/1.72  (assume a450 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (tptp.c_lessequals V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a)))))
% 1.55/1.72  (assume a451 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.55/1.72  (assume a452 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_y T_a) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))))
% 1.55/1.72  (assume a453 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_x V_y T_a) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))))
% 1.55/1.72  (assume a454 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (tptp.c_lessequals V_y V_x T_a) (not (tptp.c_lessequals V_x V_y T_a)))))
% 1.55/1.72  (assume a455 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= V_x V_y) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a))))
% 1.55/1.72  (assume a456 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (= V_x V_y) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_y V_x tptp.tc_nat)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_x V_y tptp.tc_nat)))))
% 1.55/1.72  (assume a457 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (= V_x V_y) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_y V_x tptp.tc_nat)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_x V_y tptp.tc_nat)))))
% 1.55/1.72  (assume a458 (forall ((V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_y V_x tptp.tc_nat)) (= V_x V_y) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_x V_y tptp.tc_nat)))))
% 1.55/1.72  (assume a459 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= V_m V_n) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_n V_m tptp.tc_nat)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_m V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a460 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_n V_m tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (= V_m V_n))))
% 1.55/1.72  (assume a461 (forall ((V_P $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_P V_n) V_m)) (tptp.c_HOL_Oord__class_Oless V_n V_m tptp.tc_nat) (= V_m V_n) (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat))))
% 1.55/1.72  (assume a462 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (= V_x V_y) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_x V_y tptp.tc_nat)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_y V_x tptp.tc_nat)))))
% 1.55/1.72  (assume a463 (forall ((V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_b V_a tptp.tc_nat)) (= V_a V_b) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_b tptp.tc_nat)))))
% 1.55/1.72  (assume a464 (forall ((V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_b V_a tptp.tc_nat)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_b tptp.tc_nat)) (= V_a V_b))))
% 1.55/1.72  (assume a465 (forall ((V_y $$unsorted) (V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_y V_x tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_nat) (= V_x V_y))))
% 1.55/1.72  (assume a466 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (= V_x V_y))))
% 1.55/1.72  (assume a467 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (= V_x V_y) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a))))
% 1.55/1.72  (assume a468 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= V_x V_y) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a))))
% 1.55/1.72  (assume a469 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_n V_m tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_m tptp.tc_nat)))))
% 1.55/1.72  (assume a470 (forall ((V_n $$unsorted)) (or (= (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) V_n) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a471 (forall ((V_n $$unsorted)) (or (= V_n (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a472 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_d T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c V_d T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.55/1.72  (assume a473 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted) (V_l $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_i V_k tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_j V_l tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_k V_l tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_i V_j tptp.tc_nat)))))
% 1.55/1.72  (assume a474 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Lattices_Olower__semilattice__class_Oinf V_a V_b T_a) V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_b V_x T_a)))))
% 1.55/1.72  (assume a475 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Lattices_Olower__semilattice__class_Oinf V_a V_b T_a) V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_x T_a)))))
% 1.55/1.72  (assume a476 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_c T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_b V_c T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_b T_a)))))
% 1.55/1.72  (assume a477 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_a T_a))))
% 1.55/1.72  (assume a478 (forall ((V_x $$unsorted)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_x V_x tptp.tc_nat)))
% 1.55/1.72  (assume a479 (forall ((V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (tptp.c_Ring__and__Field_Odvd__class_Odvd V_x V_z tptp.tc_nat) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_z V_y tptp.tc_nat) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_y V_z tptp.tc_nat)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_y V_x tptp.tc_nat) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_x V_y tptp.tc_nat)))))
% 1.55/1.72  (assume a480 (forall ((V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (tptp.c_Ring__and__Field_Odvd__class_Odvd V_x V_z tptp.tc_nat) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_y V_z tptp.tc_nat)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_x V_y tptp.tc_nat)))))
% 1.55/1.72  (assume a481 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a482 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.55/1.72  (assume a483 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Nat_Osemiring__1__class_Oof__nat V_m T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a484 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Nat_Osemiring__1__class_Oof__nat V_m T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a) T_a)))))
% 1.55/1.72  (assume a485 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a))))
% 1.55/1.72  (assume a486 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) T_a))))
% 1.55/1.72  (assume a487 (forall ((V_m $$unsorted) (V_n $$unsorted)) (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat) tptp.tc_nat)))
% 1.55/1.72  (assume a488 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a))))
% 1.55/1.72  (assume a489 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (= (tptp.c_SetInterval_Oord__class_OatLeast V_x T_a) (tptp.c_SetInterval_Oord__class_OatLeast V_y T_a))) (= V_x V_y))))
% 1.55/1.72  (assume a490 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_k V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_k V_n tptp.tc_nat) tptp.tc_nat)))))
% 1.55/1.72  (assume a491 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_m V_k tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_n V_k tptp.tc_nat) tptp.tc_nat)))))
% 1.55/1.72  (assume a492 (forall ((V_f $$unsorted) (V_x $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Fun_Ofun__upd V_f V_x (tptp.hAPP V_f V_x) T_b T_a) V_f)))
% 1.55/1.72  (assume a493 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd V_f V_x V_y T_b T_a) V_x) V_y)))
% 1.55/1.72  (assume a494 (forall ((V_f $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Fun_Ofun__upd V_f V_x (tptp.hAPP V_f V_x) T_a T_b) V_f)))
% 1.55/1.72  (assume a495 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (T_aa $$unsorted)) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd V_f V_x V_y T_a T_aa) V_x) V_y)))
% 1.55/1.72  (assume a496 (forall ((V_f $$unsorted) (V_x $$unsorted) (T_aa $$unsorted) (T_a $$unsorted)) (= (tptp.c_Fun_Ofun__upd V_f V_x (tptp.hAPP V_f V_x) T_aa T_a) V_f)))
% 1.55/1.72  (assume a497 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Otimes__class_Otimes V_k V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_k V_n tptp.tc_nat) tptp.tc_nat) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_m V_n tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat)))))
% 1.55/1.72  (assume a498 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_Ring__and__Field_Odvd__class_Odvd V_m V_n tptp.tc_nat) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Otimes__class_Otimes V_k V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_k V_n tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat)))))
% 1.55/1.72  (assume a499 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_Ring__and__Field_Odvd__class_Odvd V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_k tptp.tc_nat)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Otimes__class_Otimes V_k V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_k V_n tptp.tc_nat) tptp.tc_nat)))))
% 1.55/1.72  (assume a500 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a) T_a))))
% 1.55/1.72  (assume a501 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_x (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a)))))
% 1.55/1.72  (assume a502 (forall ((V_x $$unsorted) (V_n $$unsorted) (V_xa $$unsorted) (V_y $$unsorted) (V_xb $$unsorted)) (or (not (= (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Otimes__class_Otimes V_n V_xa tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_y (tptp.c_HOL_Otimes__class_Otimes V_n V_xb tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Divides_Odiv__class_Omod V_x V_n tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod V_y V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a503 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a504 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a) T_a)))))
% 1.55/1.72  (assume a505 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_d T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals V_c V_d T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.55/1.72  (assume a506 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_d T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c V_d T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.55/1.72  (assume a507 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a))))
% 1.55/1.72  (assume a508 (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)))))
% 1.55/1.72  (assume a509 (forall ((V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.55/1.72  (assume a510 (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))
% 1.55/1.72  (assume a511 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_b T_a) (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a)))))
% 1.55/1.72  (assume a512 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus V_b V_a T_a) V_b T_a) (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a)))))
% 1.55/1.72  (assume a513 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a514 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a515 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a516 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a517 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_b V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.55/1.72  (assume a518 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.55/1.72  (assume a519 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a520 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_n (tptp.c_HOL_Otimes__class_Otimes V_m V_n tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_m tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a521 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_n (tptp.c_HOL_Otimes__class_Otimes V_n V_m tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_m tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a522 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_b V_c T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) V_c T_a)))))
% 1.55/1.72  (assume a523 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_c T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) V_c T_a)))))
% 1.55/1.72  (assume a524 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_b T_a)))))
% 1.55/1.72  (assume a525 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_c T_a)))))
% 1.55/1.72  (assume a526 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.55/1.72  (assume a527 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a)))))
% 1.55/1.72  (assume a528 (forall ((T_a $$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)))))
% 1.55/1.72  (assume a529 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)))))
% 1.55/1.72  (assume a530 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_c V_b T_a)))))
% 1.55/1.72  (assume a531 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a532 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a533 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat))))
% 1.55/1.72  (assume a534 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Otimes__class_Otimes V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))))
% 1.55/1.72  (assume a535 (forall ((V_i $$unsorted) (V_j $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_i V_j tptp.tc_nat) V_i tptp.tc_nat))))
% 1.55/1.72  (assume a536 (forall ((V_j $$unsorted) (V_i $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_j V_i tptp.tc_nat) V_i tptp.tc_nat))))
% 1.55/1.72  (assume a537 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_d T_a) T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_c V_d T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_a V_b T_a)))))
% 1.55/1.72  (assume a538 (forall ((V_b $$unsorted) (V_q $$unsorted) (V_c $$unsorted) (V_r $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b (tptp.c_Divides_Odiv__class_Omod V_q V_c tptp.tc_nat) tptp.tc_nat) V_r tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_b V_c tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_r V_b tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_c tptp.tc_nat)))))
% 1.55/1.72  (assume a539 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a) (not (tptp.c_lessequals V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b V_a T_a)))))
% 1.55/1.72  (assume a540 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_lessequals V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_b V_a T_a)))))
% 1.55/1.72  (assume a541 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Omult__mono T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.55/1.72  (assume a542 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Omult__mono T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.55/1.72  (assume a543 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Omult__mono1 T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.55/1.72  (assume a544 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_Divides_Odiv__class_Omod V_m V_n tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) V_n tptp.tc_nat)) (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat))))
% 1.55/1.72  (assume a545 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_r $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Otimes__class_Otimes V_r V_c T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Otimes__class_Otimes V_r V_d T_a) T_a))) (= V_c V_d) (= V_r (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.55/1.72  (assume a546 (forall ((V_x $$unsorted) (V_r $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (= (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Otimes__class_Otimes V_r V_c tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Otimes__class_Otimes V_r V_d tptp.tc_nat) tptp.tc_nat))) (= V_c V_d) (= V_r (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.55/1.72  (assume a547 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_y T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.55/1.72  (assume a548 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_y T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.55/1.72  (assume a549 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_i V_k tptp.tc_nat) V_j tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_i (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat) tptp.tc_nat)))))
% 1.55/1.72  (assume a550 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_i (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_i V_k tptp.tc_nat) V_j tptp.tc_nat)))))
% 1.55/1.72  (assume a551 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_x T_a) V_x))))
% 1.55/1.72  (assume a552 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_A (tptp.tc_fun T_a tptp.tc_bool)) V_A)))
% 1.55/1.72  (assume a553 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.55/1.72  (assume a554 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.55/1.72  (assume a555 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Obot T_a)) (tptp.c_lessequals (tptp.c_Orderings_Obot__class_Obot T_a) V_x T_a))))
% 1.55/1.72  (assume a556 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_d T_a) T_a) (not (tptp.c_lessequals V_c V_d T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.55/1.72  (assume a557 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (tptp.c_lessequals V_y V_x T_a))))
% 1.55/1.72  (assume a558 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_lessequals V_x V_x T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x T_a)))))
% 1.55/1.72  (assume a559 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_x T_a) (tptp.c_lessequals V_x V_x T_a))))
% 1.55/1.72  (assume a560 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))))
% 1.55/1.72  (assume a561 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_lessequals V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a))))
% 1.55/1.72  (assume a562 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))))
% 1.55/1.72  (assume a563 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_lessequals V_x V_y T_a))))
% 1.55/1.72  (assume a564 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (not (tptp.c_lessequals V_y V_x T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))))
% 1.55/1.72  (assume a565 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) V_x) (not (tptp.c_lessequals V_x V_y T_a)))))
% 1.55/1.72  (assume a566 (forall ((T_a $$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.c_lessequals V_x V_y T_a))))
% 1.55/1.72  (assume a567 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_x V_y T_a) V_y) (not (tptp.c_lessequals V_y V_x T_a)))))
% 1.55/1.72  (assume a568 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals V_x V_a T_a) (not (tptp.c_lessequals V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_a V_b T_a) T_a)))))
% 1.55/1.72  (assume a569 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals V_x V_b T_a) (not (tptp.c_lessequals V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_a V_b T_a) T_a)))))
% 1.55/1.72  (assume a570 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals (tptp.c_Lattices_Olower__semilattice__class_Oinf V_a V_b T_a) V_x T_a) (not (tptp.c_lessequals V_a V_x T_a)))))
% 1.55/1.72  (assume a571 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals (tptp.c_Lattices_Olower__semilattice__class_Oinf V_a V_b T_a) V_x T_a) (not (tptp.c_lessequals V_b V_x T_a)))))
% 1.55/1.72  (assume a572 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals V_x V_y T_a) (not (tptp.c_lessequals V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_z T_a) T_a)))))
% 1.55/1.72  (assume a573 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olower__semilattice T_a)) (tptp.c_lessequals V_x V_z T_a) (not (tptp.c_lessequals V_x (tptp.c_Lattices_Olower__semilattice__class_Oinf V_y V_z T_a) T_a)))))
% 1.55/1.72  (assume a574 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_e T_a) V_c T_a) V_d T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a) T_a)))))
% 1.55/1.72  (assume a575 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_e T_a) V_c T_a) V_d T_a)))))
% 1.55/1.72  (assume a576 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals V_c (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a) V_e T_a) V_d T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a) T_a)))))
% 1.55/1.72  (assume a577 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a) T_a) (not (tptp.c_lessequals V_c (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a) V_e T_a) V_d T_a) T_a)))))
% 1.55/1.72  (assume a578 (forall ((T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_in (tptp.c_Finite__Set_Olinorder__class_OMin V_A T_a) V_A T_a) (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 1.55/1.72  (assume a579 (forall ((T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_in (tptp.c_Finite__Set_Olinorder__class_OMax V_A T_a) V_A T_a) (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 1.55/1.72  (assume a580 (forall ((T_a $$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.c_HOL_Oord__class_Oless V_x V_y T_a) (not (tptp.c_HOL_Oord__class_Oless V_x_H V_y_H T_a)))))
% 1.55/1.72  (assume a581 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (tptp.c_HOL_Oord__class_Oless V_x_H V_y_H T_a) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))))
% 1.55/1.72  (assume a582 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_b_H $$unsorted) (V_a $$unsorted) (V_a_H $$unsorted)) (or (not (tptp.class_Divides_Oring__div T_a)) (not (= (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a) (tptp.c_Divides_Odiv__class_Omod V_b_H V_c T_a))) (not (= (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a) (tptp.c_Divides_Odiv__class_Omod V_a_H V_c T_a))) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus V_a_H V_b_H T_a) V_c T_a)))))
% 1.55/1.72  (assume a583 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_x (tptp.c_HOL_Ominus__class_Ominus V_y V_z T_a) T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_x V_z T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_x V_y T_a)))))
% 1.55/1.72  (assume a584 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.55/1.72  (assume a585 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.55/1.72  (assume a586 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) V_a))))
% 1.55/1.72  (assume a587 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.55/1.72  (assume a588 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.55/1.72  (assume a589 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_b T_a) V_a))))
% 1.55/1.72  (assume a590 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Oring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a) V_b T_a) V_c T_a)))))
% 1.55/1.72  (assume a591 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Oring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus V_a (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a) T_a) V_c T_a)))))
% 1.55/1.72  (assume a592 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_x V_y))))
% 1.55/1.72  (assume a593 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a V_b))))
% 1.55/1.72  (assume a594 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a V_b))))
% 1.55/1.72  (assume a595 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Oring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a) (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a) T_a) V_c T_a)))))
% 1.55/1.72  (assume a596 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_b T_a) V_a))))
% 1.55/1.72  (assume a597 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Set_Oinsert V_a (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool)) T_a) V_A) (not (tptp.c_in V_a V_A T_a)))))
% 1.55/1.72  (assume a598 (forall ((V_f $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (= (tptp.hAPP V_f V_a) V_b) (not (tptp.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)))))
% 1.55/1.72  (assume a599 (forall ((V_a $$unsorted) (V_f $$unsorted) (T_a $$unsorted) (T_aa $$unsorted)) (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)))
% 1.55/1.72  (assume a600 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Set_Oinsert V_x V_A T_a) (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool)) V_A) (tptp.c_in V_x V_A T_a))))
% 1.55/1.72  (assume a601 (forall ((T_a $$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))))
% 1.55/1.72  (assume a602 (forall ((T_a $$unsorted)) (tptp.c_Finite__Set_Ofinite (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a)))
% 1.55/1.72  (assume a603 (forall ((V_A $$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)))))
% 1.55/1.72  (assume a604 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_Finite__Set_Ofinite V_A T_a) (not (tptp.c_Finite__Set_Ofinite (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)) (not (tptp.c_Finite__Set_Ofinite V_B T_a)))))
% 1.55/1.72  (assume a605 (forall ((V_A $$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)))))
% 1.55/1.72  (assume a606 (forall ((V_F $$unsorted) (V_G $$unsorted) (T_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Olower__semilattice__class_Oinf V_F V_G (tptp.tc_fun T_a tptp.tc_bool)) T_a) (not (tptp.c_Finite__Set_Ofinite V_G T_a)))))
% 1.55/1.72  (assume a607 (forall ((V_F $$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)))))
% 1.55/1.72  (assume a608 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_A $$unsorted)) (or (tptp.c_Fun_Oinj__on (tptp.c_Fun_Ofun__upd V_f V_x V_y T_a T_b) V_A T_a T_b) (tptp.c_in V_y (tptp.c_Set_Oimage V_f V_A T_a T_b) T_b) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)))))
% 1.55/1.72  (assume a609 (forall ((V_f $$unsorted) (V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_in (tptp.hAPP V_f V_a) (tptp.c_Set_Oimage V_f V_A T_a T_b) T_b) (not (tptp.c_in V_a V_A T_a)) (not (tptp.c_Fun_Oinj__on V_f (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b)))))
% 1.55/1.72  (assume a610 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_f $$unsorted) (T_b $$unsorted)) (or (tptp.c_in V_a V_A T_a) (not (tptp.c_in (tptp.hAPP V_f V_a) (tptp.c_Set_Oimage V_f V_A T_a T_b) T_b)) (not (tptp.c_Fun_Oinj__on V_f (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b)))))
% 1.55/1.72  (assume a611 (forall ((V_A $$unsorted) (V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_A (tptp.c_Set_Oinsert V_x V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_HOL_Oord__class_Oless (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 (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_in V_x V_B T_a))))
% 1.55/1.72  (assume a612 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (= (tptp.c_Set_Oimage (tptp.c_Fun_Ofun__upd V_f V_x V_y T_b T_a) V_A T_b T_a) (tptp.c_Set_Oinsert V_y (tptp.c_Set_Oimage V_f (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool)) T_b) (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a) T_a)) (not (tptp.c_in V_x V_A T_b)))))
% 1.55/1.72  (assume a613 (forall ((V_f $$unsorted) (V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_Fun_Oinj__on V_f (tptp.c_Set_Oinsert V_a V_A T_a) T_a T_b) (tptp.c_in (tptp.hAPP V_f V_a) (tptp.c_Set_Oimage V_f (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b) T_b) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)))))
% 1.55/1.72  (assume a614 (forall ((V_f $$unsorted) (V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in (tptp.hAPP V_f V_a) (tptp.c_Set_Oimage V_f (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 T_b) T_b)) (not (tptp.c_Fun_Oinj__on V_f (tptp.c_Set_Oinsert V_a V_A T_a) T_a T_b)))))
% 1.55/1.72  (assume a615 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Suc V_k) V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Suc V_k) V_n tptp.tc_nat))) (= V_m V_n))))
% 1.55/1.72  (assume a616 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m (tptp.c_Suc V_n) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a617 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Suc V_m) V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a618 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_Suc V_m) V_n tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod (tptp.c_Suc (tptp.c_Divides_Odiv__class_Omod V_m V_n tptp.tc_nat)) V_n tptp.tc_nat))))
% 1.55/1.72  (assume a619 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Suc V_i) V_k tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_j V_k tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_i V_j tptp.tc_nat)))))
% 1.55/1.72  (assume a620 (forall ((V_x $$unsorted)) (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_Suc V_x) tptp.tc_nat)))
% 1.55/1.72  (assume a621 (forall ((V_n $$unsorted)) (tptp.c_HOL_Oord__class_Oless V_n (tptp.c_Suc V_n) tptp.tc_nat)))
% 1.55/1.72  (assume a622 (forall ((V_m $$unsorted)) (not (= (tptp.c_Suc V_m) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.55/1.72  (assume a623 (forall ((V_nat_H $$unsorted)) (not (= (tptp.c_Suc V_nat_H) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.55/1.72  (assume a624 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (= V_n V_m) (not (tptp.c_HOL_Oord__class_Oless V_n (tptp.c_Suc V_m) tptp.tc_nat)) (tptp.c_HOL_Oord__class_Oless V_n V_m tptp.tc_nat))))
% 1.55/1.72  (assume a625 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= V_m V_n) (not (tptp.c_HOL_Oord__class_Oless V_n (tptp.c_Suc V_m) tptp.tc_nat)) (tptp.c_HOL_Oord__class_Oless V_n V_m tptp.tc_nat))))
% 1.55/1.72  (assume a626 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= V_m V_n) (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m (tptp.c_Suc V_n) tptp.tc_nat)))))
% 1.55/1.72  (assume a627 (forall ((V_m $$unsorted)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Suc V_m)))))
% 1.55/1.72  (assume a628 (forall ((V_nat_H $$unsorted)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Suc V_nat_H)))))
% 1.55/1.72  (assume a629 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Suc V_m) V_n tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a630 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Oplus__class_Oplus V_m (tptp.c_Suc V_n) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a631 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_Suc V_m) V_n tptp.tc_nat) (tptp.c_Suc (tptp.c_Divides_Odiv__class_Omod V_m V_n tptp.tc_nat))) (= (tptp.c_Suc (tptp.c_Divides_Odiv__class_Omod V_m V_n tptp.tc_nat)) V_n))))
% 1.55/1.72  (assume a632 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Suc V_m) V_n tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_m (tptp.c_Suc V_n) tptp.tc_nat))))
% 1.55/1.72  (assume a633 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Suc V_m) V_n tptp.tc_nat) (= (tptp.c_Suc V_m) V_n) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a634 (forall ((V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_x V_x tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_Suc V_x) tptp.tc_nat))))
% 1.55/1.72  (assume a635 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_n (tptp.c_Suc V_m) tptp.tc_nat)))))
% 1.55/1.72  (assume a636 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_n (tptp.c_Suc V_m) tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat))))
% 1.55/1.72  (assume a637 (forall ((V_x $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Suc V_x) (tptp.c_Suc V_n) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_x V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a638 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Suc V_m) (tptp.c_Suc V_n) tptp.tc_nat)))))
% 1.55/1.72  (assume a639 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Suc V_m) (tptp.c_Suc V_n) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a640 (forall ((T_a $$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)))))
% 1.55/1.72  (assume a641 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (= (tptp.c_Set_Oinsert V_a (tptp.c_Set_Oinsert V_b (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a) (tptp.c_Set_Oinsert V_c (tptp.c_Set_Oinsert V_d (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a))) (= V_b V_c) (= V_b V_d))))
% 1.55/1.72  (assume a642 (forall ((V_a $$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))))
% 1.55/1.72  (assume a643 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (= (tptp.c_Set_Oinsert V_a (tptp.c_Set_Oinsert V_b (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a) (tptp.c_Set_Oinsert V_c (tptp.c_Set_Oinsert V_d (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a))) (= V_b V_c) (= V_a V_c))))
% 1.55/1.72  (assume a644 (forall ((V_a $$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))))
% 1.55/1.72  (assume a645 (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))))
% 1.55/1.72  (assume a646 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_Set_Oinsert V_a V_A T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a647 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a $$unsorted)) (or (tptp.c_Fun_Oinj__on V_f V_A T_a T_b) (not (tptp.c_Fun_Oinj__on V_f (tptp.c_Set_Oinsert V_a V_A T_a) T_a T_b)))))
% 1.55/1.72  (assume a648 (forall ((V_xa $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oinsert V_xa (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a) (tptp.c_Set_Oinsert V_x (tptp.c_Set_Oinsert V_xa (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a))))
% 1.55/1.72  (assume a649 (forall ((V_a $$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))))
% 1.55/1.72  (assume a650 (forall ((V_A $$unsorted) (V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_x V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals (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 (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a651 (forall ((T_b $$unsorted) (V_f $$unsorted) (V_g $$unsorted) (T_a $$unsorted)) (or (not (tptp.class_HOL_Oord T_b)) (tptp.c_lessequals V_f V_g (tptp.tc_fun T_a T_b)) (not (tptp.c_HOL_Oord__class_Oless V_f V_g (tptp.tc_fun T_a T_b))))))
% 1.55/1.72  (assume a652 (forall ((T_b $$unsorted) (V_f $$unsorted) (V_g $$unsorted) (T_a $$unsorted)) (or (not (tptp.class_HOL_Oord T_b)) (tptp.c_HOL_Oord__class_Oless V_f V_g (tptp.tc_fun T_a T_b)) (tptp.c_lessequals V_g V_f (tptp.tc_fun T_a T_b)) (not (tptp.c_lessequals V_f V_g (tptp.tc_fun T_a T_b))))))
% 1.55/1.72  (assume a653 (forall ((T_b $$unsorted) (V_g $$unsorted) (V_f $$unsorted) (T_a $$unsorted)) (or (not (tptp.class_HOL_Oord T_b)) (not (tptp.c_lessequals V_g V_f (tptp.tc_fun T_a T_b))) (not (tptp.c_HOL_Oord__class_Oless V_f V_g (tptp.tc_fun T_a T_b))))))
% 1.55/1.72  (assume a654 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= V_A V_B) (tptp.c_HOL_Oord__class_Oless V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a655 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a)))))
% 1.55/1.72  (assume a656 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_c V_a T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.55/1.72  (assume a657 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_c V_a T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.55/1.72  (assume a658 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_c V_a T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_b T_a) T_a)))))
% 1.55/1.72  (assume a659 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_i V_k tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_j V_k tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_i V_j tptp.tc_nat)))))
% 1.55/1.72  (assume a660 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_k V_m tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_k V_n tptp.tc_nat) tptp.tc_nat)))))
% 1.55/1.72  (assume a661 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_k V_m tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_k V_n tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a662 (forall ((V_P $$unsorted) (V_n $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Divides_Odiv__class_Omod V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP V_P V_n)))))
% 1.55/1.72  (assume a663 (forall ((V_P $$unsorted) (V_n $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P V_n))) (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Divides_Odiv__class_Omod V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))))))
% 1.55/1.72  (assume a664 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a665 (forall ((T_a $$unsorted) (V_f $$unsorted) (T_b $$unsorted) (V_x $$unsorted)) (or (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) V_f T_a T_b) (tptp.hAPP V_f V_x)) V_x) (not (tptp.c_Fun_Oinj__on V_f (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b)))))
% 1.55/1.72  (assume a666 (forall ((V_f $$unsorted) (T_aa $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_Fun_Oinj__on V_f (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_aa tptp.tc_bool)) T_aa T_a)) (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_aa tptp.tc_bool)) V_f T_aa T_a) (tptp.hAPP V_f V_x)) V_x))))
% 1.55/1.72  (assume a667 (forall ((V_P $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless V_a V_b tptp.tc_nat)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_HOL_Ominus__class_Ominus V_a V_b tptp.tc_nat)))))))
% 1.55/1.72  (assume a668 (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 1.55/1.72  (assume a669 (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)))))
% 1.55/1.72  (assume a670 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (= V_n (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Otimes__class_Otimes V_m V_n tptp.tc_nat) V_m tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_m tptp.tc_nat)))))
% 1.55/1.72  (assume a671 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (= V_n (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Otimes__class_Otimes V_n V_m tptp.tc_nat) V_m tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_m tptp.tc_nat)))))
% 1.55/1.72  (assume a672 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_x V_x T_a) V_x))))
% 1.55/1.72  (assume a673 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.55/1.72  (assume a674 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes V_b V_a T_a) V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.55/1.72  (assume a675 (forall ((V_d $$unsorted) (V_x $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes V_d V_x tptp.tc_nat) V_d tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 1.55/1.72  (assume a676 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_d T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c V_d T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.55/1.72  (assume a677 (forall ((V_m $$unsorted)) (or (= V_m (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_m (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))
% 1.55/1.72  (assume a678 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_m tptp.tc_nat) tptp.tc_nat)))))
% 1.55/1.72  (assume a679 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_m tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a680 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 1.55/1.72  (assume a681 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 1.55/1.72  (assume a682 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 1.55/1.72  (assume a683 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)))))
% 1.55/1.72  (assume a684 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)))))
% 1.55/1.72  (assume a685 (forall ((V_A $$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))))))
% 1.55/1.72  (assume a686 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.c_Set_Ovimage V_f V_A T_a T_b) V_x)) (not (tptp.hBOOL (tptp.hAPP V_A (tptp.hAPP V_f V_x)))))))
% 1.55/1.72  (assume a687 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T_a)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Nat_Osemiring__1__class_Oof__nat V_m T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a) T_a)))))
% 1.55/1.72  (assume a688 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) V_m tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_m tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a689 (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))))))
% 1.55/1.72  (assume a690 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_z $$unsorted)) (or (= (tptp.hAPP (tptp.c_Fun_Ofun__upd V_f V_x V_y T_b T_a) V_z) (tptp.hAPP V_f V_z)) (= V_z V_x))))
% 1.55/1.72  (assume a691 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_z $$unsorted)) (or (= (tptp.hAPP (tptp.c_Fun_Ofun__upd V_f V_x V_y T_a T_b) V_z) (tptp.hAPP V_f V_z)) (= V_z V_x))))
% 1.55/1.72  (assume a692 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a) V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a)))))
% 1.55/1.72  (assume a693 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a) T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a)))))
% 1.55/1.72  (assume a694 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (= (tptp.c_HOL_Oplus__class_Oplus V_n (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) tptp.tc_nat) V_m) (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat))))
% 1.55/1.72  (assume a695 (forall ((T_a $$unsorted) (V_d $$unsorted) (V_x $$unsorted) (V_t $$unsorted) (V_k $$unsorted) (V_D $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odvd T_a)) (not (tptp.class_Ring__and__Field_Ocomm__ring T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_d (tptp.c_HOL_Oplus__class_Oplus V_x V_t T_a) T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_d (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ominus__class_Ominus V_x (tptp.c_HOL_Otimes__class_Otimes V_k V_D T_a) T_a) V_t T_a) T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_d V_D T_a)))))
% 1.55/1.72  (assume a696 (forall ((T_a $$unsorted) (V_d $$unsorted) (V_x $$unsorted) (V_k $$unsorted) (V_D $$unsorted) (V_t $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odvd T_a)) (not (tptp.class_Ring__and__Field_Ocomm__ring T_a)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_d (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ominus__class_Ominus V_x (tptp.c_HOL_Otimes__class_Otimes V_k V_D T_a) T_a) V_t T_a) T_a) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_d (tptp.c_HOL_Oplus__class_Oplus V_x V_t T_a) T_a)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_d V_D T_a)))))
% 1.55/1.72  (assume a697 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (= V_n (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= V_m (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))))
% 1.55/1.72  (assume a698 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (= V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.55/1.72  (assume a699 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.55/1.72  (assume a700 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a701 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.55/1.72  (assume a702 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_a T_a) T_a))))
% 1.55/1.72  (assume a703 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a704 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a705 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 1.55/1.72  (assume a706 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a) V_c T_a)))))
% 1.55/1.72  (assume a707 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_c (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a) T_a)))))
% 1.55/1.72  (assume a708 (forall ((V_k $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals V_k V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a709 (forall ((V_f $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Ovimage V_f (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool)) T_a T_b) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))
% 1.55/1.72  (assume a710 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_m V_n tptp.tc_nat))) (= V_m (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)))))
% 1.55/1.72  (assume a711 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_m V_n tptp.tc_nat))) (= V_n (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)))))
% 1.55/1.72  (assume a712 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 1.55/1.72  (assume a713 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_ly $$unsorted) (V_rx $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_ly T_a) V_rx T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_rx T_a) V_ly T_a)))))
% 1.55/1.72  (assume a714 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_ly $$unsorted) (V_rx $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_ly T_a) V_rx T_a) (tptp.c_HOL_Otimes__class_Otimes V_lx (tptp.c_HOL_Otimes__class_Otimes V_ly V_rx T_a) T_a)))))
% 1.55/1.72  (assume a715 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_rx $$unsorted) (V_ry $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_lx (tptp.c_HOL_Otimes__class_Otimes V_rx V_ry T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_rx T_a) V_ry T_a)))))
% 1.55/1.72  (assume a716 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_rx $$unsorted) (V_ry $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_lx (tptp.c_HOL_Otimes__class_Otimes V_rx V_ry T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_rx (tptp.c_HOL_Otimes__class_Otimes V_lx V_ry T_a) T_a)))))
% 1.55/1.72  (assume a717 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_m V_n tptp.tc_nat) V_k tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_m (tptp.c_HOL_Otimes__class_Otimes V_n V_k tptp.tc_nat) tptp.tc_nat))))
% 1.55/1.72  (assume a718 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_x (tptp.c_HOL_Otimes__class_Otimes V_y V_z T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) V_z T_a)))))
% 1.55/1.72  (assume a719 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 1.55/1.72  (assume a720 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 1.55/1.72  (assume a721 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) V_k tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_m V_k tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_n V_k tptp.tc_nat) tptp.tc_nat))))
% 1.55/1.72  (assume a722 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Otimes__class_Otimes V_k (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_k V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_k V_n tptp.tc_nat) tptp.tc_nat))))
% 1.55/1.72  (assume a723 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_x (tptp.c_HOL_Oplus__class_Oplus V_y V_z T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) (tptp.c_HOL_Otimes__class_Otimes V_x V_z T_a) T_a)))))
% 1.55/1.72  (assume a724 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)))))
% 1.55/1.72  (assume a725 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))))
% 1.55/1.72  (assume a726 (forall ((V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (tptp.c_Ring__and__Field_Odvd__class_Odvd V_x V_z tptp.tc_nat) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_z V_y tptp.tc_nat) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_y V_z tptp.tc_nat)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_x V_y tptp.tc_nat)))))
% 1.55/1.72  (assume a727 (forall ((V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (tptp.c_Ring__and__Field_Odvd__class_Odvd V_x V_z tptp.tc_nat) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_y V_z tptp.tc_nat)) (tptp.c_Ring__and__Field_Odvd__class_Odvd V_y V_x tptp.tc_nat) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_x V_y tptp.tc_nat)))))
% 1.55/1.72  (assume a728 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))))
% 1.55/1.72  (assume a729 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 1.55/1.72  (assume a730 (forall ((T_a $$unsorted) (V_M $$unsorted) (V_N $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMax V_M T_a) (tptp.c_Finite__Set_Olinorder__class_OMax V_N T_a) T_a) (not (tptp.c_Finite__Set_Ofinite V_N T_a)) (= V_M (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_M V_N (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a731 (forall ((T_a $$unsorted) (V_N $$unsorted) (V_M $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMin V_N T_a) (tptp.c_Finite__Set_Olinorder__class_OMin V_M T_a) 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.c_lessequals V_M V_N (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a732 (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals (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 (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_x V_B T_a) (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a733 (forall ((V_A $$unsorted) (V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_x V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_lessequals (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 (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a734 (forall ((V_A $$unsorted) (V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_x V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_lessequals (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 (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a735 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Finite__Set_Ocard V_A T_a) (tptp.c_Finite__Set_Ocard V_B T_a) tptp.tc_nat)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_B T_a)))))
% 1.55/1.72  (assume a736 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard V_A T_a) (tptp.c_Finite__Set_Ocard (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a) tptp.tc_nat)) (not (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))
% 1.55/1.72  (assume a737 (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard V_A T_a) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 1.55/1.72  (assume a738 (forall ((T_a $$unsorted) (V_k $$unsorted) (V_i $$unsorted)) (or (not (tptp.class_HOL_Oord T_a)) (tptp.c_lessequals V_k V_i T_a) (not (tptp.c_in V_i (tptp.c_SetInterval_Oord__class_OatLeast V_k T_a) T_a)))))
% 1.55/1.72  (assume a739 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_HOL_Oord T_a)) (tptp.c_in V_i (tptp.c_SetInterval_Oord__class_OatLeast V_k T_a) T_a) (not (tptp.c_lessequals V_k V_i T_a)))))
% 1.55/1.72  (assume a740 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_lessequals V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 1.55/1.72  (assume a741 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_a V_b T_a)))))
% 1.55/1.72  (assume a742 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Set_Oinsert V_x V_A T_a) V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oinsert V_x (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)) (tptp.c_in V_x V_B T_a))))
% 1.55/1.72  (assume a743 (forall ((V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Set_Oinsert V_a V_B T_a) V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_B V_C (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_in V_a V_C T_a))))
% 1.55/1.72  (assume a744 (forall ((V_A $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_in V_a V_A T_a))))
% 1.55/1.72  (assume a745 (forall ((V_x $$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.c_in V_x V_xa T_a))))
% 1.55/1.72  (assume a746 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (or (= V_b V_a) (not (tptp.c_in V_b (tptp.c_Set_Oinsert V_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a)))))
% 1.55/1.72  (assume a747 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Set_Oinsert V_x V_A T_a) V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_in V_x V_B T_a)))))
% 1.55/1.72  (assume a748 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_in V_x V_B T_a)) (not (tptp.c_HOL_Oord__class_Oless V_A (tptp.c_Set_Oinsert V_x V_B T_a) (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a749 (forall ((V_A $$unsorted) (V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_A (tptp.c_Set_Oinsert V_x V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_in V_x V_B T_a)) (not (tptp.c_HOL_Oord__class_Oless V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a750 (forall ((V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Set_Oinsert V_a V_B T_a) V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oinsert V_a (tptp.c_Lattices_Olower__semilattice__class_Oinf V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) T_a)) (not (tptp.c_in V_a V_C T_a)))))
% 1.55/1.72  (assume a751 (forall ((V_A $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oinsert V_a (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)) (not (tptp.c_in V_a V_A T_a)))))
% 1.55/1.72  (assume a752 (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.c_in V_x (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a)))
% 1.55/1.72  (assume a753 (forall ((V_a $$unsorted) (V_f $$unsorted) (T_a $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_a (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp V_f (tptp.tc_fun T_a tptp.tc_bool)) T_a) (not (tptp.c_lessequals V_X (tptp.hAPP V_f V_X) (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_in V_a V_X T_a)))))
% 1.55/1.72  (assume a754 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_y V_x T_a) (not (tptp.c_lessequals (tptp.c_SetInterval_Oord__class_OatLeast V_x T_a) (tptp.c_SetInterval_Oord__class_OatLeast V_y T_a) (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a755 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (= V_A V_B) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a756 (forall ((V_B $$unsorted) (V_C $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus V_B (tptp.c_HOL_Ominus__class_Ominus V_C V_A (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) V_A) (not (tptp.c_lessequals V_B V_C (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a757 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted) (V_D $$unsorted)) (or (tptp.c_lessequals (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)) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_B V_D (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_C (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a758 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_A V_C (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_HOL_Oord__class_Oless V_B V_C (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a759 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_A V_C (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_B V_C (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_HOL_Oord__class_Oless V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a760 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_B $$unsorted)) (or (tptp.c_Fun_Oinj__on V_f V_A T_a T_b) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Fun_Oinj__on V_f V_B T_a T_b)))))
% 1.55/1.72  (assume a761 (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_A (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool))))
% 1.55/1.72  (assume a762 (forall ((V_C $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_lessequals V_C (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_C V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_C V_A (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a763 (forall ((V_C $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_lessequals V_C (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_C V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_C V_A (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a764 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_B (tptp.tc_fun T_a tptp.tc_bool))))
% 1.55/1.72  (assume a765 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_A (tptp.tc_fun T_a tptp.tc_bool))))
% 1.55/1.72  (assume a766 (forall ((T_a $$unsorted)) (tptp.c_lessequals (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))))
% 1.55/1.72  (assume a767 (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.c_lessequals V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a768 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_HOL_Oord__class_Oless V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a769 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted) (V_D $$unsorted)) (or (tptp.c_lessequals (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)) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_D V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_C (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a770 (forall ((T_a $$unsorted) (V_A $$unsorted)) (tptp.c_lessequals (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) V_A (tptp.tc_fun T_a tptp.tc_bool))))
% 1.55/1.72  (assume a771 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_A) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a772 (forall ((V_A $$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.c_lessequals V_B V_A (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a773 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_A (tptp.tc_fun T_a tptp.tc_bool))))
% 1.55/1.72  (assume a774 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals (tptp.c_Set_Ovimage V_f V_A T_b T_a) (tptp.c_Set_Ovimage V_f V_B T_b T_a) (tptp.tc_fun T_b tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a775 (forall ((V_C $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_lessequals V_C V_B (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_C (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))))))
% 1.55/1.72  (assume a776 (forall ((V_C $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals V_C V_A (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_C (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))))))
% 1.55/1.72  (assume a777 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Otimes__class_Otimes V_m V_n tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_n tptp.tc_nat)) (not (tptp.c_lessequals (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_m tptp.tc_nat)))))
% 1.55/1.72  (assume a778 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_lessequals (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Otimes__class_Otimes V_m V_n tptp.tc_nat) tptp.tc_nat)))))
% 1.55/1.72  (assume a779 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_m tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Otimes__class_Otimes V_m V_n tptp.tc_nat) tptp.tc_nat)))))
% 1.55/1.72  (assume a780 (forall ((V_f $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_C $$unsorted)) (or (= (tptp.c_Set_Oimage V_f (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Set_Oimage V_f V_A T_a T_b) (tptp.c_Set_Oimage V_f V_B T_a T_b) (tptp.tc_fun T_b tptp.tc_bool))) (not (tptp.c_lessequals V_B V_C (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_C (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Fun_Oinj__on V_f V_C T_a T_b)))))
% 1.55/1.72  (assume a781 (forall ((V_A $$unsorted) (V_f $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_Fun_Oinj__on (tptp.c_Hilbert__Choice_Oinv__into V_A V_f T_b T_a) V_B T_a T_b) (not (tptp.c_lessequals V_B (tptp.c_Set_Oimage V_f V_A T_b T_a) (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a782 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals (tptp.c_Set_Oimage V_f V_A T_a T_b) (tptp.c_Set_Oimage V_f V_B T_a T_b) (tptp.tc_fun T_b tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Fun_Oinj__on V_f (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b)))))
% 1.55/1.72  (assume a783 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_f $$unsorted) (T_b $$unsorted)) (or (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals (tptp.c_Set_Oimage V_f V_A T_a T_b) (tptp.c_Set_Oimage V_f V_B T_a T_b) (tptp.tc_fun T_b tptp.tc_bool))) (not (tptp.c_Fun_Oinj__on V_f (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b)))))
% 1.55/1.72  (assume a784 (forall ((V_f $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_C $$unsorted)) (or (= (tptp.c_Set_Oimage V_f (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a T_b) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Set_Oimage V_f V_A T_a T_b) (tptp.c_Set_Oimage V_f V_B T_a T_b) (tptp.tc_fun T_b tptp.tc_bool))) (not (tptp.c_lessequals V_B V_C (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_C (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Fun_Oinj__on V_f V_C T_a T_b)))))
% 1.55/1.72  (assume a785 (forall ((V_A $$unsorted) (V_f $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_S $$unsorted)) (or (= (tptp.c_Set_Oimage (tptp.c_Hilbert__Choice_Oinv__into V_A V_f T_a T_b) (tptp.c_Set_Oimage V_f V_S T_a T_b) T_b T_a) V_S) (not (tptp.c_lessequals V_S V_A (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)))))
% 1.55/1.72  (assume a786 (forall ((V_A $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Finite__Set_Ocard V_A T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)) (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a787 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Finite__Set_Ocard V_A T_a) (tptp.c_Finite__Set_Ocard V_B T_a) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_B T_a)))))
% 1.55/1.72  (assume a788 (forall ((V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite V_A T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Finite__Set_Ocard V_A T_a) tptp.tc_nat)))))
% 1.55/1.72  (assume a789 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (= V_m V_n) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a790 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= V_m V_n) (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a791 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (= V_m V_n) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a792 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_m V_k tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_n V_k tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a793 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_k V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_k V_n tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a794 (forall ((V_k $$unsorted) (V_i $$unsorted) (V_j $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_k V_i tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_k V_j tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))))
% 1.55/1.72  (assume a795 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_i V_k tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_j V_k tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))))
% 1.55/1.72  (assume a796 (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))
% 1.55/1.72  (assume a797 (forall ((V_P $$unsorted) (V_i $$unsorted) (V_j $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_i)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_ATP__Linkup_Osko__Nat__Xinc__induct__1__1 V_P V_j)))) (not (tptp.hBOOL (tptp.hAPP V_P V_j))) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))))
% 1.55/1.72  (assume a798 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_k V_m tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_k V_n tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a799 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_k V_m tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_k V_n tptp.tc_nat) tptp.tc_nat)))))
% 1.55/1.72  (assume a800 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_i V_k tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_j V_k tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))))
% 1.55/1.72  (assume a801 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a802 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_lessequals V_x V_y tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_nat)))))
% 1.55/1.72  (assume a803 (forall ((V_m $$unsorted) (V_x $$unsorted)) (tptp.c_lessequals V_m (tptp.c_HOL_Oplus__class_Oplus V_m V_x tptp.tc_nat) tptp.tc_nat)))
% 1.55/1.72  (assume a804 (forall ((V_n $$unsorted) (V_m $$unsorted)) (tptp.c_lessequals V_n (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) tptp.tc_nat)))
% 1.55/1.72  (assume a805 (forall ((V_n $$unsorted) (V_m $$unsorted)) (tptp.c_lessequals V_n (tptp.c_HOL_Oplus__class_Oplus V_n V_m tptp.tc_nat) tptp.tc_nat)))
% 1.55/1.72  (assume a806 (forall ((V_n $$unsorted)) (or (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_lessequals V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))))
% 1.55/1.72  (assume a807 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted) (V_l $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_i V_k tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_j V_l tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_k V_l tptp.tc_nat)) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))))
% 1.55/1.72  (assume a808 (forall ((V_i $$unsorted) (V_m $$unsorted) (V_j $$unsorted)) (or (tptp.c_lessequals V_i (tptp.c_HOL_Oplus__class_Oplus V_m V_j tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))))
% 1.55/1.72  (assume a809 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_m $$unsorted)) (or (tptp.c_lessequals V_i (tptp.c_HOL_Oplus__class_Oplus V_j V_m tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))))
% 1.55/1.72  (assume a810 (forall ((V_k $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_lessequals V_k V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_m V_k tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a811 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_m V_k tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a812 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (tptp.c_lessequals V_x (tptp.c_HOL_Oplus__class_Oplus V_y V_z tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_x V_z tptp.tc_nat)))))
% 1.55/1.72  (assume a813 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (tptp.c_lessequals V_x (tptp.c_HOL_Oplus__class_Oplus V_y V_z tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_x V_y tptp.tc_nat)))))
% 1.55/1.72  (assume a814 (forall ((V_n $$unsorted)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))
% 1.55/1.72  (assume a815 (forall ((V_m $$unsorted) (V_n $$unsorted)) (tptp.c_lessequals (tptp.c_Divides_Odiv__class_Omod V_m V_n tptp.tc_nat) V_m tptp.tc_nat)))
% 1.55/1.72  (assume a816 (forall ((V_m $$unsorted)) (tptp.c_lessequals V_m (tptp.c_HOL_Otimes__class_Otimes V_m V_m tptp.tc_nat) tptp.tc_nat)))
% 1.55/1.72  (assume a817 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted) (V_l $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_i V_k tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_j V_l tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_k V_l tptp.tc_nat)) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))))
% 1.55/1.72  (assume a818 (forall ((V_m $$unsorted)) (tptp.c_lessequals V_m (tptp.c_HOL_Otimes__class_Otimes V_m (tptp.c_HOL_Otimes__class_Otimes V_m V_m tptp.tc_nat) tptp.tc_nat) tptp.tc_nat)))
% 1.55/1.72  (assume a819 (forall ((V_n $$unsorted) (V_i $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_Suc V_i) tptp.tc_nat) V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a820 (forall ((V_n $$unsorted)) (or (= (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) V_n) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a821 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_g $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.hAPP V_f (tptp.c_ATP__Linkup_Osko__Set__Ximage__cong__1__1 V_x V_f V_g T_a T_b)) (tptp.hAPP V_g (tptp.c_ATP__Linkup_Osko__Set__Ximage__cong__1__1 V_x V_f V_g T_a T_b)))) (= (tptp.c_Set_Oimage V_f V_x T_a T_b) (tptp.c_Set_Oimage V_g V_x T_a T_b)))))
% 1.55/1.72  (assume a822 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Set_Oimage V_f V_A T_b T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool))))))
% 1.55/1.72  (assume a823 (forall ((T_a $$unsorted) (V_f $$unsorted) (V_A $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oimage V_f V_A T_b T_a))) (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool))))))
% 1.55/1.72  (assume a824 (forall ((V_f $$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)))))
% 1.55/1.72  (assume a825 (forall ((T_a $$unsorted) (V_f $$unsorted) (T_b $$unsorted)) (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oimage V_f (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a))))
% 1.55/1.72  (assume a826 (forall ((V_i $$unsorted) (V_u $$unsorted) (V_m $$unsorted) (V_j $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_i V_u tptp.tc_nat) V_m tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_j V_u tptp.tc_nat) V_n tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_m (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_j V_i tptp.tc_nat) V_u tptp.tc_nat) V_n tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))))
% 1.55/1.72  (assume a827 (forall ((V_m $$unsorted) (V_j $$unsorted) (V_i $$unsorted) (V_u $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals V_m (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_j V_i tptp.tc_nat) V_u tptp.tc_nat) V_n tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_i V_u tptp.tc_nat) V_m tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_j V_u tptp.tc_nat) V_n tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))))
% 1.55/1.72  (assume a828 (forall ((V_i $$unsorted) (V_u $$unsorted) (V_m $$unsorted) (V_j $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_i V_u tptp.tc_nat) V_m tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_j V_u tptp.tc_nat) V_n tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_i V_j tptp.tc_nat) V_u tptp.tc_nat) V_m tptp.tc_nat) V_n tptp.tc_nat)) (not (tptp.c_lessequals V_j V_i tptp.tc_nat)))))
% 1.55/1.72  (assume a829 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_u $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_i V_j tptp.tc_nat) V_u tptp.tc_nat) V_m tptp.tc_nat) V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_i V_u tptp.tc_nat) V_m tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_j V_u tptp.tc_nat) V_n tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_lessequals V_j V_i tptp.tc_nat)))))
% 1.55/1.72  (assume a830 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_u $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_lessequals V_i V_j tptp.tc_nat)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_i V_u tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_j V_i tptp.tc_nat) V_u tptp.tc_nat) V_n tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_j V_u tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a831 (forall ((V_i $$unsorted) (V_u $$unsorted) (V_m $$unsorted) (V_j $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_i V_u tptp.tc_nat) V_m tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_j V_u tptp.tc_nat) V_n tptp.tc_nat))) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)) (= V_m (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_j V_i tptp.tc_nat) V_u tptp.tc_nat) V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a832 (forall ((V_i $$unsorted) (V_u $$unsorted) (V_m $$unsorted) (V_j $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_i V_u tptp.tc_nat) V_m tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_j V_u tptp.tc_nat) V_n tptp.tc_nat))) (not (tptp.c_lessequals V_j V_i tptp.tc_nat)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_i V_j tptp.tc_nat) V_u tptp.tc_nat) V_m tptp.tc_nat) V_n))))
% 1.55/1.72  (assume a833 (forall ((V_j $$unsorted) (V_i $$unsorted) (V_u $$unsorted) (V_m $$unsorted)) (or (not (tptp.c_lessequals V_j V_i tptp.tc_nat)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_i V_u tptp.tc_nat) V_m tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_j V_u tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_i V_j tptp.tc_nat) V_u tptp.tc_nat) V_m tptp.tc_nat) tptp.tc_nat)))))
% 1.55/1.72  (assume a834 (forall ((V_i $$unsorted) (V_u $$unsorted) (V_m $$unsorted) (V_j $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_i V_u tptp.tc_nat) V_m tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_j V_u tptp.tc_nat) V_n tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_j V_i tptp.tc_nat) V_u tptp.tc_nat) V_n tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))))
% 1.55/1.72  (assume a835 (forall ((V_i $$unsorted) (V_u $$unsorted) (V_m $$unsorted) (V_j $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_i V_u tptp.tc_nat) V_m tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_j V_u tptp.tc_nat) V_n tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_i V_j tptp.tc_nat) V_u tptp.tc_nat) V_m tptp.tc_nat) V_n tptp.tc_nat)) (not (tptp.c_lessequals V_j V_i tptp.tc_nat)))))
% 1.55/1.72  (assume a836 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (not (= (tptp.c_HOL_Ominus__class_Ominus V_n V_m tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (not (= (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= V_m V_n))))
% 1.55/1.72  (assume a837 (forall ((V_j $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_j V_n tptp.tc_nat) V_k tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_j V_k tptp.tc_nat)))))
% 1.55/1.72  (assume a838 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) tptp.tc_nat) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k V_n tptp.tc_nat)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k V_m tptp.tc_nat)))))
% 1.55/1.72  (assume a839 (forall ((V_m $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) V_m)))
% 1.55/1.72  (assume a840 (forall ((V_m $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_m V_m tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 1.55/1.72  (assume a841 (forall ((V_l $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_l V_n tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_l V_m tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_l tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a842 (forall ((V_P $$unsorted) (V_b $$unsorted) (V_x $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_b V_x tptp.tc_nat) V_b tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP V_P V_x)))))
% 1.55/1.72  (assume a843 (forall ((V_P $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_b V_d tptp.tc_nat) V_b tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP V_P V_d)))))
% 1.55/1.72  (assume a844 (forall ((V_P $$unsorted) (V_k $$unsorted) (V_i $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_HOL_Ominus__class_Ominus V_k V_i tptp.tc_nat))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_ATP__Linkup_Osko__Nat__Xzero__induct__lemma__1__1 V_P)))) (not (tptp.hBOOL (tptp.hAPP V_P V_k))))))
% 1.55/1.72  (assume a845 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_i V_j tptp.tc_nat) V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_i (tptp.c_HOL_Oplus__class_Oplus V_j V_k tptp.tc_nat) tptp.tc_nat))))
% 1.55/1.72  (assume a846 (forall ((V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 1.55/1.72  (assume a847 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_m V_k tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_n V_k tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))))
% 1.55/1.72  (assume a848 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_k V_m tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_k V_n tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))))
% 1.55/1.72  (assume a849 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Otimes__class_Otimes V_k (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Otimes__class_Otimes V_k V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_k V_n tptp.tc_nat) tptp.tc_nat))))
% 1.55/1.72  (assume a850 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Otimes__class_Otimes V_m V_k tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes V_n V_k tptp.tc_nat) tptp.tc_nat))))
% 1.55/1.72  (assume a851 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) V_n tptp.tc_nat) V_m)))
% 1.55/1.72  (assume a852 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_n V_m tptp.tc_nat) V_n tptp.tc_nat) V_m)))
% 1.55/1.72  (assume a853 (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Finite__Set_Ocard (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)) T_a) (tptp.c_Finite__Set_Ocard V_A T_a) tptp.tc_nat) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 1.55/1.72  (assume a854 (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_y $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus (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)) (tptp.c_Set_Oinsert V_y (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_Finite__Set_Ocard V_A T_a) tptp.tc_nat) (not (tptp.c_in V_y V_A T_a)) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 1.55/1.72  (assume a855 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals (tptp.c_SetInterval_Oord__class_OatLeast V_x T_a) (tptp.c_SetInterval_Oord__class_OatLeast V_y T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_y V_x T_a)))))
% 1.55/1.72  (assume a856 (forall ((V_f $$unsorted) (V_x $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (tptp.c_in (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a) T_a)))
% 1.55/1.72  (assume a857 (forall ((V_A $$unsorted) (V_f $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_in (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into V_A V_f T_b T_a) V_x) V_A T_b) (not (tptp.c_in V_x (tptp.c_Set_Oimage V_f V_A T_b T_a) T_a)))))
% 1.55/1.72  (assume a858 (forall ((V_A $$unsorted) (V_f $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into V_A V_f T_a T_b) V_x) (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into V_A V_f T_a T_b) V_y))) (= V_x V_y) (not (tptp.c_in V_y (tptp.c_Set_Oimage V_f V_A T_a T_b) T_b)) (not (tptp.c_in V_x (tptp.c_Set_Oimage V_f V_A T_a T_b) T_b)))))
% 1.55/1.72  (assume a859 (forall ((V_A $$unsorted) (V_b $$unsorted) (V_f $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_ATP__Linkup_Osko__Set__XimageE__1__1 V_A V_b V_f T_b T_a) V_A T_b) (not (tptp.c_in V_b (tptp.c_Set_Oimage V_f V_A T_b T_a) T_a)))))
% 1.55/1.72  (assume a860 (forall ((V_z $$unsorted) (V_f $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (= V_z (tptp.hAPP V_f (tptp.c_ATP__Linkup_Osko__Set__Ximage__iff__1__1 V_A V_f V_z T_b T_a))) (not (tptp.c_in V_z (tptp.c_Set_Oimage V_f V_A T_b T_a) T_a)))))
% 1.55/1.72  (assume a861 (forall ((V_f $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_g $$unsorted)) (or (= (tptp.c_Set_Oimage V_f V_x T_a T_b) (tptp.c_Set_Oimage V_g V_x T_a T_b)) (tptp.c_in (tptp.c_ATP__Linkup_Osko__Set__Ximage__cong__1__1 V_x V_f V_g T_a T_b) V_x T_a))))
% 1.55/1.72  (assume a862 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_y $$unsorted)) (or (= (tptp.hAPP V_f (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into V_A V_f T_b T_a) V_y)) V_y) (not (tptp.c_in V_y (tptp.c_Set_Oimage V_f V_A T_b T_a) T_a)))))
% 1.55/1.72  (assume a863 (forall ((V_A $$unsorted) (V_f $$unsorted) (V_z $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_ATP__Linkup_Osko__Set__Ximage__iff__1__1 V_A V_f V_z T_b T_a) V_A T_b) (not (tptp.c_in V_z (tptp.c_Set_Oimage V_f V_A T_b T_a) T_a)))))
% 1.55/1.72  (assume a864 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (= (tptp.c_Set_Oimage (tptp.c_Fun_Ofun__upd V_f V_x V_y T_b T_a) V_A T_b T_a) (tptp.c_Set_Oimage V_f V_A T_b T_a)) (tptp.c_in V_x V_A T_b))))
% 1.55/1.72  (assume a865 (forall ((V_b $$unsorted) (V_f $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (= V_b (tptp.hAPP V_f (tptp.c_ATP__Linkup_Osko__Set__XimageE__1__1 V_A V_b V_f T_b T_a))) (not (tptp.c_in V_b (tptp.c_Set_Oimage V_f V_A T_b T_a) T_a)))))
% 1.55/1.72  (assume a866 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.c_Nat_Osemiring__1__class_Oof__nat V_m T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a) T_a) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a867 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_Nat_Osemiring__1__class_Oof__nat V_m T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a) T_a)))))
% 1.55/1.72  (assume a868 (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)))))
% 1.55/1.72  (assume a869 (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)))))
% 1.55/1.72  (assume a870 (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.c_Finite__Set_Ocard V_A T_a)) (tptp.c_in V_x V_A T_a) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 1.55/1.72  (assume a871 (forall ((V_A $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (T_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite V_A T_b) (not (tptp.c_Fun_Oinj__on V_f V_A T_b T_a)) (not (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage V_f V_A T_b T_a) T_a)))))
% 1.55/1.72  (assume a872 (forall ((V_A $$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.c_lessequals 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))))))
% 1.55/1.72  (assume a873 (forall ((V_P $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_n)) (tptp.hBOOL (tptp.hAPP V_P V_m)) (not (tptp.c_lessequals (tptp.c_Suc V_m) (tptp.c_ATP__Linkup_Osko__Nat__Xfull__nat__induct__1__1 V_P) tptp.tc_nat)))))
% 1.55/1.72  (assume a874 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Suc V_k) V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Suc V_k) V_n tptp.tc_nat) tptp.tc_nat)))))
% 1.55/1.72  (assume a875 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Suc V_k) V_m tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Suc V_k) V_n tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a876 (forall ((V_x $$unsorted)) (or (not (tptp.c_lessequals V_x V_x tptp.tc_nat)) (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_Suc V_x) tptp.tc_nat))))
% 1.55/1.72  (assume a877 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m (tptp.c_Suc V_n) tptp.tc_nat)))))
% 1.55/1.72  (assume a878 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m (tptp.c_Suc V_n) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a879 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.c_Suc V_m) V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a880 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_Suc V_m) V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a881 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_lessequals (tptp.c_Suc V_n) V_m tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_n V_m tptp.tc_nat)))))
% 1.55/1.72  (assume a882 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_n V_m tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_Suc V_n) V_m tptp.tc_nat)))))
% 1.55/1.72  (assume a883 (forall ((V_P $$unsorted) (V_i $$unsorted) (V_j $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_i)) (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Suc (tptp.c_ATP__Linkup_Osko__Nat__Xinc__induct__1__1 V_P V_j)))) (not (tptp.hBOOL (tptp.hAPP V_P V_j))) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))))
% 1.55/1.72  (assume a884 (forall ((V_m_H $$unsorted) (V_n $$unsorted)) (or (= V_m_H (tptp.c_Suc (tptp.c_ATP__Linkup_Osko__Nat__XSuc__le__D__1__1 V_m_H))) (not (tptp.c_lessequals (tptp.c_Suc V_n) V_m_H tptp.tc_nat)))))
% 1.55/1.72  (assume a885 (forall ((V_P $$unsorted) (V_m_H $$unsorted) (V_n $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_m_H)) (tptp.c_lessequals V_n (tptp.c_Natural_Osko__Natural__XSuc__le__D__lemma__1__1 V_P V_n) tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_Suc V_n) V_m_H tptp.tc_nat)))))
% 1.55/1.72  (assume a886 (forall ((V_P $$unsorted) (V_m_H $$unsorted) (V_n $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_m_H)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Suc (tptp.c_Natural_Osko__Natural__XSuc__le__D__lemma__1__1 V_P V_n))))) (not (tptp.c_lessequals (tptp.c_Suc V_n) V_m_H tptp.tc_nat)))))
% 1.55/1.72  (assume a887 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (= V_n V_m) (not (tptp.c_HOL_Oord__class_Oless V_n (tptp.c_Suc V_m) tptp.tc_nat)) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a888 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert V_x V_A T_a) T_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (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)) T_a))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 1.55/1.72  (assume a889 (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (tptp.c_lessequals (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.c_Finite__Set_Ocard V_A T_a) tptp.tc_nat) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 1.55/1.72  (assume a890 (forall ((V_B $$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.c_lessequals V_B (tptp.c_Set_Oimage V_f V_A T_b T_a) (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a891 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Set_Oimage V_f V_A T_b T_a) (tptp.c_Set_Oimage V_f V_B T_b T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oimage V_f (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a) (tptp.tc_fun T_a tptp.tc_bool))))
% 1.55/1.72  (assume a892 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_f $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (tptp.c_lessequals (tptp.c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1 V_A V_B V_f T_b T_a) V_A (tptp.tc_fun T_b tptp.tc_bool)) (not (tptp.c_lessequals V_B (tptp.c_Set_Oimage V_f V_A T_b T_a) (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a893 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_Set_Oimage V_f (tptp.c_Set_Ovimage V_f V_A T_b T_a) T_b T_a) V_A (tptp.tc_fun T_a tptp.tc_bool))))
% 1.55/1.72  (assume a894 (forall ((V_f $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_Set_Oimage V_f (tptp.c_Lattices_Olower__semilattice__class_Oinf V_A V_B (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Set_Oimage V_f V_A T_b T_a) (tptp.c_Set_Oimage V_f V_B T_b T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool))))
% 1.55/1.72  (assume a895 (forall ((V_A $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Finite__Set_Ocard V_A T_a) (tptp.c_Finite__Set_Ocard (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) T_a))) (not (tptp.c_Finite__Set_Ofinite (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) T_a)) (= V_A (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a896 (forall ((V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard V_A T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Finite__Set_Ofinite V_A T_a))))
% 1.55/1.72  (assume a897 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_Suc V_n) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) V_n tptp.tc_nat))))
% 1.55/1.72  (assume a898 (forall ((V_P $$unsorted) (V_k $$unsorted) (V_i $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_HOL_Ominus__class_Ominus V_k V_i tptp.tc_nat))) (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Suc (tptp.c_ATP__Linkup_Osko__Nat__Xzero__induct__lemma__1__1 V_P)))) (not (tptp.hBOOL (tptp.hAPP V_P V_k))))))
% 1.55/1.72  (assume a899 (forall ((V_m $$unsorted) (V_n $$unsorted)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) (tptp.c_Suc V_m) tptp.tc_nat)))
% 1.55/1.72  (assume a900 (forall ((V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_n) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) V_n)))
% 1.55/1.72  (assume a901 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_k $$unsorted)) (or (not (= (tptp.c_Finite__Set_Ocard V_A T_a) (tptp.c_Suc V_k))) (= (tptp.c_Finite__Set_Ocard (tptp.c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2 V_A V_k T_a) T_a) V_k))))
% 1.55/1.72  (assume a902 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_k $$unsorted)) (or (not (= (tptp.c_Finite__Set_Ocard V_A T_a) (tptp.c_Suc V_k))) (= (tptp.c_Finite__Set_Ocard (tptp.c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2 V_A V_k T_a) T_a) V_k))))
% 1.55/1.72  (assume a903 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_lessequals V_m (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_n V_m tptp.tc_nat) V_k tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_k V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a904 (forall ((V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_a V_c tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_b V_c tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_c V_a tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b tptp.tc_nat)))))
% 1.55/1.72  (assume a905 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (tptp.c_lessequals V_m V_n tptp.tc_nat))))
% 1.55/1.72  (assume a906 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a907 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k V_m tptp.tc_nat) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k V_n tptp.tc_nat)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) tptp.tc_nat)))))
% 1.55/1.72  (assume a908 (forall ((V_k $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k V_n tptp.tc_nat) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k V_m tptp.tc_nat)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd V_k (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) tptp.tc_nat)))))
% 1.55/1.72  (assume a909 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_i V_k tptp.tc_nat) V_j tptp.tc_nat) (not (tptp.c_lessequals V_i (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_lessequals V_k V_j tptp.tc_nat)))))
% 1.55/1.72  (assume a910 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (or (tptp.c_lessequals V_i (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_i V_k tptp.tc_nat) V_j tptp.tc_nat)) (not (tptp.c_lessequals V_k V_j tptp.tc_nat)))))
% 1.55/1.72  (assume a911 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_Divides_Odiv__class_Omod V_m V_n tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) V_n tptp.tc_nat)) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)))))
% 1.55/1.72  (assume a912 (forall ((V_j $$unsorted) (V_i $$unsorted) (V_k $$unsorted)) (or (tptp.c_lessequals V_j (tptp.c_HOL_Oplus__class_Oplus V_i V_k tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat) V_i tptp.tc_nat)))))
% 1.55/1.72  (assume a913 (forall ((V_j $$unsorted) (V_k $$unsorted) (V_i $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat) V_i tptp.tc_nat) (not (tptp.c_lessequals V_j (tptp.c_HOL_Oplus__class_Oplus V_i V_k tptp.tc_nat) tptp.tc_nat)))))
% 1.55/1.72  (assume a914 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_i V_j tptp.tc_nat) V_k tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_i (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_lessequals V_k V_j tptp.tc_nat)))))
% 1.55/1.72  (assume a915 (forall ((V_j $$unsorted) (V_i $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_j V_i tptp.tc_nat) V_k tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat) V_i tptp.tc_nat)) (not (tptp.c_lessequals V_k V_j tptp.tc_nat)))))
% 1.55/1.72  (assume a916 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus V_i (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_i V_k tptp.tc_nat) V_j tptp.tc_nat)) (not (tptp.c_lessequals V_k V_j tptp.tc_nat)))))
% 1.55/1.72  (assume a917 (forall ((V_i $$unsorted) (V_k $$unsorted)) (or (not (tptp.c_lessequals V_i (tptp.c_HOL_Oplus__class_Oplus V_k V_i tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_k V_i tptp.tc_nat) V_i tptp.tc_nat) V_k))))
% 1.55/1.72  (assume a918 (forall ((V_i $$unsorted) (V_j $$unsorted)) (or (not (tptp.c_lessequals V_i V_j tptp.tc_nat)) (= V_j (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ominus__class_Ominus V_j V_i tptp.tc_nat) V_i tptp.tc_nat)))))
% 1.55/1.72  (assume a919 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (= (tptp.c_HOL_Oplus__class_Oplus V_n (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) tptp.tc_nat) V_m) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)))))
% 1.55/1.72  (assume a920 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) V_n tptp.tc_nat) V_m) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)))))
% 1.55/1.72  (assume a921 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_HOL_Oplus__class_Oplus V_i (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_i V_j tptp.tc_nat) V_k tptp.tc_nat)) (not (tptp.c_lessequals V_k V_j tptp.tc_nat)))))
% 1.55/1.72  (assume a922 (forall ((V_j $$unsorted) (V_k $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat) V_i tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_j V_i tptp.tc_nat) V_k tptp.tc_nat)) (not (tptp.c_lessequals V_k V_j tptp.tc_nat)))))
% 1.55/1.72  (assume a923 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_m V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_k tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_lessequals V_k V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_m tptp.tc_nat)))))
% 1.55/1.72  (assume a924 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_m V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_k tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_m tptp.tc_nat)))))
% 1.55/1.72  (assume a925 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage V_f V_A T_a T_b) T_b) (tptp.c_Finite__Set_Ocard V_A T_a)) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)))))
% 1.55/1.72  (assume a926 (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool)) T_a)) (tptp.c_Finite__Set_Ocard V_A T_a)) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 1.55/1.72  (assume a927 (forall ((V_A $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_in V_a V_B T_a) (not (tptp.c_in V_a V_A T_a)) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 1.55/1.72  (assume a928 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMin V_A T_a) V_x T_a) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 1.55/1.72  (assume a929 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_A $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_lessequals V_x (tptp.c_Finite__Set_Olinorder__class_OMax V_A T_a) T_a) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 1.55/1.72  (assume a930 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_in V_x V_A T_a) (tptp.c_in V_x V_B T_a) (not (tptp.c_HOL_Oord__class_Oless V_A (tptp.c_Set_Oinsert V_x V_B T_a) (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a931 (forall ((V_A $$unsorted) (V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_A (tptp.c_Set_Oinsert V_x V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_in V_x V_A T_a) (tptp.c_in V_x V_B T_a))))
% 1.55/1.72  (assume a932 (forall ((V_A $$unsorted) (V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_A (tptp.c_Set_Oinsert V_x V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_in V_x V_A T_a) (not (tptp.c_HOL_Oord__class_Oless V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a933 (forall ((T_a $$unsorted) (V_f $$unsorted) (V_n $$unsorted) (V_n_H $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals (tptp.hAPP V_f V_n) (tptp.hAPP V_f V_n_H) T_a) (not (tptp.c_lessequals V_n V_n_H tptp.tc_nat)) (not (tptp.c_lessequals (tptp.hAPP V_f (tptp.c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__le__1__1 V_f T_a)) (tptp.hAPP V_f (tptp.c_Suc (tptp.c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__le__1__1 V_f T_a))) T_a)))))
% 1.55/1.72  (assume a934 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals (tptp.c_Set_Oimage V_f V_A T_a T_b) V_B (tptp.tc_fun T_b tptp.tc_bool)) (tptp.c_in (tptp.c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1 V_A V_B V_f T_a T_b) V_A T_a))))
% 1.55/1.72  (assume a935 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals (tptp.c_Set_Oimage V_f V_A T_b T_a) V_B (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_in (tptp.hAPP V_f (tptp.c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1 V_A V_B V_f T_b T_a)) V_B T_a)))))
% 1.55/1.72  (assume a936 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals (tptp.c_Set_Oimage V_f V_A T_b T_a) V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_in (tptp.c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1 V_A V_B V_f T_b T_a) V_A T_b))))
% 1.55/1.72  (assume a937 (forall ((V_g $$unsorted) (V_a $$unsorted) (V_f $$unsorted) (T_b $$unsorted) (V_X $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.hAPP V_g V_a) (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp V_f (tptp.tc_fun T_b tptp.tc_bool)) T_b) (not (tptp.c_lessequals (tptp.c_Set_Oimage V_g V_X T_a T_b) (tptp.hAPP V_f (tptp.c_Set_Oimage V_g V_X T_a T_b)) (tptp.tc_fun T_b tptp.tc_bool))) (not (tptp.c_in V_a V_X T_a)))))
% 1.55/1.72  (assume a938 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals (tptp.c_Set_Oimage V_f V_A T_a T_b) V_B (tptp.tc_fun T_b tptp.tc_bool)) (not (tptp.c_in (tptp.hAPP V_f (tptp.c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1 V_A V_B V_f T_a T_b)) V_B T_b)))))
% 1.55/1.72  (assume a939 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_Fun_Oinj__on V_f V_A T_a T_a) (not (tptp.c_lessequals V_A (tptp.c_Set_Oimage V_f V_A T_a T_a) (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 1.55/1.72  (assume a940 (forall ((V_B $$unsorted) (V_f $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (= V_B (tptp.c_Set_Oimage V_f (tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1 V_A V_B V_f T_b T_a) T_b T_a)) (not (tptp.c_lessequals V_B (tptp.c_Set_Oimage V_f V_A T_b T_a) (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_B T_a)))))
% 1.55/1.72  (assume a941 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_f $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite (tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1 V_A V_B V_f T_b T_a) T_b) (not (tptp.c_lessequals V_B (tptp.c_Set_Oimage V_f V_A T_b T_a) (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_B T_a)))))
% 1.55/1.72  (assume a942 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Set_Oimage V_f V_A T_a T_a) V_A) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_a)) (not (tptp.c_lessequals (tptp.c_Set_Oimage V_f V_A T_a T_a) V_A (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 1.55/1.72  (assume a943 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_f $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (tptp.c_lessequals (tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1 V_A V_B V_f T_b T_a) V_A (tptp.tc_fun T_b tptp.tc_bool)) (not (tptp.c_lessequals V_B (tptp.c_Set_Oimage V_f V_A T_b T_a) (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_B T_a)))))
% 1.55/1.72  (assume a944 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T_a)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Nat_Osemiring__1__class_Oof__nat V_m T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a) T_a)) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)))))
% 1.55/1.72  (assume a945 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage V_f V_A T_a T_b) T_b) (tptp.c_Finite__Set_Ocard V_A T_a))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)) (tptp.c_Fun_Oinj__on V_f V_A T_a T_b))))
% 1.55/1.72  (assume a946 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage V_f V_A T_a T_b) T_b) (tptp.c_Finite__Set_Ocard V_A T_a)) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 1.55/1.72  (assume a947 (forall ((V_j $$unsorted) (V_k $$unsorted) (V_m $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat)) V_m tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_j) (tptp.c_HOL_Oplus__class_Oplus V_k V_m tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_lessequals V_k V_j tptp.tc_nat)))))
% 1.55/1.72  (assume a948 (forall ((V_m $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat)) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_m V_k tptp.tc_nat) (tptp.c_Suc V_j) tptp.tc_nat)) (not (tptp.c_lessequals V_k V_j tptp.tc_nat)))))
% 1.55/1.72  (assume a949 (forall ((V_x $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a))))))
% 1.55/1.72  (assume a950 (forall ((V_x $$unsorted) (V_xa $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_x V_xa T_a) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert V_x V_xa T_a) T_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard V_xa T_a))) (= (tptp.c_Finite__Set_Ocard V_xa T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 1.55/1.72  (assume a951 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (V_g $$unsorted) (V_f $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard V_A T_a) (tptp.c_Finite__Set_Ocard V_B T_b)) (not (tptp.c_Finite__Set_Ofinite V_B T_b)) (not (tptp.c_Finite__Set_Ofinite V_A T_a)) (not (tptp.c_lessequals (tptp.c_Set_Oimage V_g V_B T_b T_a) V_A (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Fun_Oinj__on V_g V_B T_b T_a)) (not (tptp.c_lessequals (tptp.c_Set_Oimage V_f V_A T_a T_b) V_B (tptp.tc_fun T_b tptp.tc_bool))) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)))))
% 1.55/1.72  (assume a952 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard V_A T_a) (tptp.c_Finite__Set_Ocard V_B T_a) tptp.tc_nat)) (not (tptp.c_lessequals V_B V_A (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_B T_a)))))
% 1.55/1.72  (assume a953 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (V_f $$unsorted)) (or (tptp.c_lessequals (tptp.c_Finite__Set_Ocard V_A T_a) (tptp.c_Finite__Set_Ocard V_B T_b) tptp.tc_nat) (not (tptp.c_Finite__Set_Ofinite V_B T_b)) (not (tptp.c_lessequals (tptp.c_Set_Oimage V_f V_A T_a T_b) V_B (tptp.tc_fun T_b tptp.tc_bool))) (not (tptp.c_Fun_Oinj__on V_f V_A T_a T_b)))))
% 1.55/1.72  (assume a954 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_lessequals V_y V_x T_a) (tptp.c_lessequals V_x V_y T_a))))
% 1.55/1.72  (assume a955 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_lessequals V_n V_m tptp.tc_nat) (tptp.c_lessequals V_m V_n tptp.tc_nat))))
% 1.55/1.72  (assume a956 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_lessequals (tptp.c_Suc V_n) (tptp.c_Suc V_m) tptp.tc_nat) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)))))
% 1.55/1.72  (assume a957 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_lessequals V_n V_m tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_Suc V_n) (tptp.c_Suc V_m) tptp.tc_nat)))))
% 1.55/1.72  (assume a958 (forall ((V_a $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_D $$unsorted)) (or (tptp.c_lessequals (tptp.c_Set_Oinsert V_a V_C T_a) (tptp.c_Set_Oinsert V_a V_D T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_C V_D (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a959 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals V_x V_A (tptp.tc_fun T_b tptp.tc_bool))) (tptp.c_lessequals (tptp.c_Set_Oimage V_f V_x T_b T_a) (tptp.c_Set_Oimage V_f V_A T_b T_a) (tptp.tc_fun T_a tptp.tc_bool)))))
% 1.55/1.72  (assume a960 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals (tptp.c_Set_Oimage V_f V_A T_a T_b) (tptp.c_Set_Oimage V_f V_B T_a T_b) (tptp.tc_fun T_b tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a961 (forall ((T_a $$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.c_lessequals V_y V_x T_a) (not (tptp.c_lessequals V_y_H V_x_H T_a)))))
% 1.55/1.72  (assume a962 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (tptp.c_lessequals V_y_H V_x_H T_a) (not (tptp.c_lessequals V_y V_x T_a)))))
% 1.55/1.72  (assume a963 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_a (tptp.c_Set_Oinsert V_b V_A T_a) T_a) (not (tptp.c_in V_a V_A T_a)))))
% 1.55/1.72  (assume a964 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_a (tptp.c_Set_Oinsert V_b V_B T_a) T_a) (not (tptp.c_in V_a V_B T_a)))))
% 1.55/1.72  (assume a965 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_Finite__Set_Ofinite V_A T_a) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_B T_a)))))
% 1.55/1.72  (assume a966 (forall ((V_Q $$unsorted) (V_x $$unsorted) (V_P $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_Q V_x)) (not (tptp.c_lessequals V_P V_Q (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.hBOOL (tptp.hAPP V_P V_x))))))
% 1.55/1.72  (assume a967 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_Finite__Set_Ofinite V_A T_a) (not (tptp.c_Finite__Set_Ofinite V_B T_a)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a968 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_x T_a))))
% 1.55/1.72  (assume a969 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_x V_x T_a))))
% 1.55/1.72  (assume a970 (forall ((V_Q $$unsorted) (V_x $$unsorted) (V_P $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_Q V_x)) (not (tptp.hBOOL (tptp.hAPP V_P V_x))) (not (tptp.c_lessequals V_P V_Q (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a971 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals V_A V_C (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_B V_C (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a972 (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_A V_A (tptp.tc_fun T_a tptp.tc_bool))))
% 1.55/1.72  (assume a973 (forall ((V_t $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_t V_B T_a) (not (tptp.c_in V_t V_A T_a)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a974 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_x V_B T_a) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_in V_x V_A T_a)))))
% 1.55/1.72  (assume a975 (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_x V_x (tptp.tc_fun T_a tptp.tc_bool))))
% 1.55/1.72  (assume a976 (forall ((V_x $$unsorted)) (tptp.c_lessequals V_x V_x tptp.tc_nat)))
% 1.55/1.72  (assume a977 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted)) (or (tptp.c_lessequals V_i V_k tptp.tc_nat) (not (tptp.c_lessequals V_j V_k tptp.tc_nat)) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))))
% 1.55/1.72  (assume a978 (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_c V_B T_a) (not (tptp.c_in V_c V_A T_a)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a979 (forall ((V_n $$unsorted)) (tptp.c_lessequals V_n V_n tptp.tc_nat)))
% 1.55/1.72  (assume a980 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_x V_B T_a) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a981 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_z T_a) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 1.55/1.72  (assume a982 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_z V_x T_a) (not (tptp.c_lessequals V_z V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))))
% 1.55/1.72  (assume a983 (forall ((V_n $$unsorted)) (not (= V_n (tptp.c_Suc V_n)))))
% 1.55/1.72  (assume a984 (forall ((V_n $$unsorted)) (not (= (tptp.c_Suc V_n) V_n))))
% 1.55/1.72  (assume a985 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals (tptp.c_Set_Oinsert V_x V_A T_a) V_B (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_in V_x V_B T_a)))))
% 1.55/1.72  (assume a986 (forall ((V_n $$unsorted)) (not (tptp.c_lessequals (tptp.c_Suc V_n) V_n tptp.tc_nat))))
% 1.55/1.72  (assume a987 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Set_Oinsert V_x V_A T_a) V_x))))
% 1.55/1.72  (assume a988 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals V_m (tptp.c_Suc V_n) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a989 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_Suc V_m) V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a990 (forall ((V_f $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oimage V_f (tptp.c_Set_Oinsert V_a V_B T_b) T_b T_a) (tptp.c_Set_Oinsert (tptp.hAPP V_f V_a) (tptp.c_Set_Oimage V_f V_B T_b T_a) T_a))))
% 1.55/1.72  (assume a991 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert V_x V_A T_a) T_a) (tptp.c_Finite__Set_Ocard V_A T_a)) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 1.55/1.72  (assume a992 (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)))))
% 1.55/1.72  (assume a993 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_x V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))))
% 1.55/1.72  (assume a994 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_y V_x T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 1.55/1.72  (assume a995 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_y V_x T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 1.55/1.72  (assume a996 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= V_A V_B) (not (tptp.c_lessequals V_B V_A (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a997 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= V_m V_n) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a998 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= V_A V_B) (not (tptp.c_lessequals V_B V_A (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a999 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in V_a V_A T_a) (= V_a V_b) (not (tptp.c_in V_a (tptp.c_Set_Oinsert V_b V_A T_a) T_a)))))
% 1.55/1.72  (assume a1000 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= V_A V_B) (not (tptp.c_lessequals (tptp.c_Finite__Set_Ocard V_B T_a) (tptp.c_Finite__Set_Ocard V_A T_a) tptp.tc_nat)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_B T_a)))))
% 1.55/1.72  (assume a1001 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) (tptp.c_Suc V_n) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))))
% 1.55/1.72  (assume a1002 (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))))
% 1.55/1.72  (assume a1003 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_Suc V_x) (tptp.c_Suc V_y))) (= V_x V_y))))
% 1.55/1.72  (assume a1004 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_lessequals (tptp.c_Finite__Set_Ocard V_A T_a) (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert V_x V_A T_a) T_a) tptp.tc_nat) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 1.55/1.72  (assume a1005 (forall ((V_a $$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)))))
% 1.55/1.72  (assume a1006 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite V_A T_a) (not (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oinsert V_a V_A T_a) T_a)))))
% 1.55/1.72  (assume a1007 (forall ((V_B $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_B (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool))))
% 1.55/1.72  (assume a1008 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) V_n tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)))))
% 1.55/1.72  (assume a1009 (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))))))
% 1.55/1.72  (assume a1010 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oinsert V_x (tptp.c_Set_Oinsert V_x V_A T_a) T_a) (tptp.c_Set_Oinsert V_x V_A T_a))))
% 1.55/1.72  (assume a1011 (forall ((V_A $$unsorted) (V_b $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_b V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a1012 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert V_x V_A T_a) V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a1013 (forall ((V_B $$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.c_lessequals V_B (tptp.c_Set_Oimage V_f V_A T_a T_b) (tptp.tc_fun T_b tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 1.55/1.72  (assume a1014 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted) (T_b $$unsorted)) (or (tptp.c_in (tptp.hAPP V_f V_x) V_B T_a) (not (tptp.c_in V_x V_A T_b)) (not (tptp.c_lessequals (tptp.c_Set_Oimage V_f V_A T_b T_a) V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a1015 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (tptp.c_in V_x (tptp.c_Set_Oinsert V_x V_A T_a) T_a)))
% 1.55/1.72  (assume a1016 (forall ((V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.c_in V_a (tptp.c_Set_Oinsert V_a V_B T_a) T_a)))
% 1.55/1.72  (assume a1017 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.c_in V_x (tptp.c_Set_Oinsert V_x V_B T_a) T_a)))
% 1.55/1.72  (assume a1018 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oinsert V_x (tptp.c_Set_Oinsert V_y V_A T_a) T_a) (tptp.c_Set_Oinsert V_y (tptp.c_Set_Oinsert V_x V_A T_a) T_a))))
% 1.55/1.72  (assume a1019 (forall ((V_x $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_x V_S T_a) (not (tptp.hBOOL (tptp.hAPP V_S V_x))))))
% 1.55/1.72  (assume a1020 (forall ((V_S $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_S V_x)) (not (tptp.c_in V_x V_S T_a)))))
% 1.55/1.72  (assume a1021 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert V_x V_A T_a) T_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard V_A T_a))) (tptp.c_in V_x V_A T_a) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 1.55/1.72  (assume a1022 (forall ((V_l $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_l V_n tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_l V_m tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a1023 (forall ((V_m $$unsorted) (V_l $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_m V_l tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_l tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a1024 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_m V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_k tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_m tptp.tc_nat)))))
% 1.55/1.72  (assume a1025 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_m V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_k tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_lessequals V_k V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_m tptp.tc_nat)))))
% 1.55/1.72  (assume a1026 (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))))
% 1.55/1.72  (assume a1027 (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))))
% 1.55/1.72  (assume a1028 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Ominus__class_Ominus V_m V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_k tptp.tc_nat))) (not (tptp.c_lessequals V_k V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_m tptp.tc_nat)) (= V_m V_n))))
% 1.55/1.72  (assume a1029 (forall ((V_m $$unsorted) (V_n $$unsorted)) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) V_m tptp.tc_nat)))
% 1.55/1.72  (assume a1030 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_m V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_k tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_m tptp.tc_nat)))))
% 1.55/1.72  (assume a1031 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_i V_j tptp.tc_nat) V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_i V_k tptp.tc_nat) V_j tptp.tc_nat))))
% 1.55/1.72  (assume a1032 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_x V_B T_a) (not (tptp.c_lessequals (tptp.c_Set_Oinsert V_x V_A T_a) V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a1033 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_lessequals V_m V_n tptp.tc_nat)) (not (tptp.c_lessequals (tptp.c_Suc V_n) V_m tptp.tc_nat)))))
% 1.55/1.72  (assume a1034 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_lessequals (tptp.c_Suc V_n) V_m tptp.tc_nat) (tptp.c_lessequals V_m V_n tptp.tc_nat))))
% 1.55/1.72  (assume a1035 (forall ((V_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.c_Set_Oinsert V_y V_A T_a) V_x)) (not (tptp.hBOOL (tptp.hAPP V_A V_x))))))
% 1.55/1.72  (assume a1036 (forall ((V_f $$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.c_in V_x V_A T_a)))))
% 1.55/1.72  (assume a1037 (forall ((V_A $$unsorted) (V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_x V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_in V_x V_A T_a))))
% 1.55/1.72  (assume a1038 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_in V_x V_A T_a) (not (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_x V_B T_a) (tptp.tc_fun T_a tptp.tc_bool))))))
% 1.55/1.72  (assume a1039 (forall ((V_A $$unsorted) (V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_x V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_in V_x V_A T_a))))
% 1.55/1.72  (assume a1040 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_x V_B T_a) (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_in V_x V_A T_a))))
% 1.55/1.72  (assume a1041 (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.c_in V_x V_B T_a) (tptp.c_in V_x V_A T_a) (= V_A V_B))))
% 1.55/1.72  (assume a1042 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) V_n tptp.tc_nat) (tptp.c_Suc V_k) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) V_k tptp.tc_nat))))
% 1.55/1.72  (assume a1043 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Set_Oinsert V_a V_A T_a) V_A) (not (tptp.c_in V_a V_A T_a)))))
% 1.55/1.72  (assume a1044 (forall ((V_n $$unsorted)) (tptp.c_lessequals (tptp.c_Suc V_n) (tptp.c_Suc V_n) tptp.tc_nat)))
% 1.55/1.72  (assume a1045 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals (tptp.c_Finite__Set_Ocard V_A T_a) (tptp.c_Finite__Set_Ocard V_B T_a) tptp.tc_nat) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_B T_a)))))
% 1.55/1.72  (assume a1046 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_lessequals (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage V_f V_A T_a T_b) T_b) (tptp.c_Finite__Set_Ocard V_A T_a) tptp.tc_nat) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 1.55/1.72  (assume a1047 (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))))
% 1.55/1.72  (assume a1048 (forall ((V_n $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_HOL_Ominus__class_Ominus V_n V_i tptp.tc_nat) tptp.tc_nat) V_i) (not (tptp.c_lessequals V_i V_n tptp.tc_nat)))))
% 1.55/1.72  (assume a1049 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= V_m (tptp.c_Suc V_n)) (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_lessequals V_m (tptp.c_Suc V_n) tptp.tc_nat)))))
% 1.55/1.72  (assume a1050 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_aa $$unsorted) (V_f $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_x V_A T_aa)) (tptp.c_in (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f V_A T_aa T_a) T_a))))
% 1.55/1.72  (assume a1051 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_x V_A T_b)) (tptp.c_in (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f V_A T_b T_a) T_a))))
% 1.55/1.72  (assume a1052 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f V_A T_b T_a) T_a) (not (tptp.c_in V_x V_A T_b)))))
% 1.55/1.72  (assume a1053 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (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.c_in V_x V_A T_a)))))
% 1.55/1.72  (assume a1054 (forall ((T_b $$unsorted) (V_f $$unsorted) (V_x $$unsorted) (V_g $$unsorted) (T_a $$unsorted)) (or (not (tptp.class_HOL_Oord T_b)) (tptp.c_lessequals (tptp.hAPP V_f V_x) (tptp.hAPP V_g V_x) T_b) (not (tptp.c_lessequals V_f V_g (tptp.tc_fun T_a T_b))))))
% 1.55/1.72  (assume a1055 (tptp.c_Finite__Set_Ofinite tptp.v_U tptp.tc_Com_Opname))
% 1.55/1.72  (assume a1056 (tptp.c_lessequals tptp.v_G (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)))
% 1.55/1.72  (assume a1057 (tptp.c_lessequals (tptp.c_Suc tptp.v_na) (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.tc_nat))
% 1.55/1.72  (assume a1058 (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))
% 1.55/1.72  (assume a1059 (tptp.c_in tptp.v_pn tptp.v_U tptp.tc_Com_Opname))
% 1.55/1.72  (assume a1060 (not (tptp.c_in (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a)))
% 1.55/1.72  (assume a1061 (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))))
% 1.55/1.72  (assume a1062 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Complete__Lattice_Ocomplete__lattice (tptp.tc_fun T_2 T_1)) (not (tptp.class_Complete__Lattice_Ocomplete__lattice T_1)))))
% 1.55/1.72  (assume a1063 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Lattices_Olower__semilattice (tptp.tc_fun T_2 T_1)) (not (tptp.class_Lattices_Olattice T_1)))))
% 1.55/1.72  (assume a1064 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Lattices_Obounded__lattice (tptp.tc_fun T_2 T_1)) (not (tptp.class_Lattices_Obounded__lattice T_1)))))
% 1.55/1.72  (assume a1065 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Finite__Set_Ofinite_Ofinite (tptp.tc_fun T_2 T_1)) (not (tptp.class_Finite__Set_Ofinite_Ofinite T_1)) (not (tptp.class_Finite__Set_Ofinite_Ofinite T_2)))))
% 1.55/1.72  (assume a1066 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Opreorder (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Opreorder T_1)))))
% 1.55/1.72  (assume a1067 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Lattices_Olattice (tptp.tc_fun T_2 T_1)) (not (tptp.class_Lattices_Olattice T_1)))))
% 1.55/1.72  (assume a1068 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Oorder (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Oorder T_1)))))
% 1.55/1.72  (assume a1069 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Otop (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Otop T_1)))))
% 1.55/1.72  (assume a1070 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Obot (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Obot T_1)))))
% 1.55/1.72  (assume a1071 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_HOL_Oord (tptp.tc_fun T_2 T_1)) (not (tptp.class_HOL_Oord T_1)))))
% 1.55/1.72  (assume a1072 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat))
% 1.55/1.72  (assume a1073 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat))
% 1.55/1.72  (assume a1074 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_nat))
% 1.55/1.72  (assume a1075 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_nat))
% 1.55/1.72  (assume a1076 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_nat))
% 1.55/1.72  (assume a1077 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat))
% 1.55/1.72  (assume a1078 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat))
% 1.55/1.72  (assume a1079 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat))
% 1.55/1.72  (assume a1080 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat))
% 1.55/1.72  (assume a1081 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_nat))
% 1.55/1.72  (assume a1082 (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_nat))
% 1.55/1.72  (assume a1083 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat))
% 1.55/1.72  (assume a1084 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat))
% 1.55/1.72  (assume a1085 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat))
% 1.55/1.72  (assume a1086 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat))
% 1.55/1.72  (assume a1087 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_nat))
% 1.55/1.72  (assume a1088 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat))
% 1.55/1.72  (assume a1089 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_nat))
% 1.55/1.72  (assume a1090 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat))
% 1.55/1.72  (assume a1091 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat))
% 1.55/1.72  (assume a1092 (tptp.class_Lattices_Olower__semilattice tptp.tc_nat))
% 1.55/1.72  (assume a1093 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat))
% 1.55/1.72  (assume a1094 (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_nat))
% 1.55/1.72  (assume a1095 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat))
% 1.55/1.72  (assume a1096 (tptp.class_Ring__and__Field_Omult__mono tptp.tc_nat))
% 1.55/1.72  (assume a1097 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_nat))
% 1.55/1.72  (assume a1098 (tptp.class_Ring__and__Field_Osemiring tptp.tc_nat))
% 1.55/1.72  (assume a1099 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat))
% 1.55/1.72  (assume a1100 (tptp.class_Divides_Osemiring__div tptp.tc_nat))
% 1.55/1.72  (assume a1101 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat))
% 1.55/1.72  (assume a1102 (tptp.class_Ring__and__Field_Odvd tptp.tc_nat))
% 1.55/1.72  (assume a1103 (tptp.class_Orderings_Opreorder tptp.tc_nat))
% 1.55/1.72  (assume a1104 (tptp.class_Orderings_Olinorder tptp.tc_nat))
% 1.55/1.72  (assume a1105 (tptp.class_Lattices_Olattice tptp.tc_nat))
% 1.55/1.72  (assume a1106 (tptp.class_Orderings_Oorder tptp.tc_nat))
% 1.55/1.72  (assume a1107 (tptp.class_Orderings_Obot tptp.tc_nat))
% 1.55/1.72  (assume a1108 (tptp.class_HOL_Oord tptp.tc_nat))
% 1.55/1.72  (assume a1109 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool))
% 1.55/1.72  (assume a1110 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool))
% 1.55/1.72  (assume a1111 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool))
% 1.55/1.72  (assume a1112 (tptp.class_Finite__Set_Ofinite_Ofinite tptp.tc_bool))
% 1.55/1.72  (assume a1113 (tptp.class_Orderings_Opreorder tptp.tc_bool))
% 1.55/1.72  (assume a1114 (tptp.class_Lattices_Olattice tptp.tc_bool))
% 1.55/1.72  (assume a1115 (tptp.class_Orderings_Oorder tptp.tc_bool))
% 1.55/1.72  (assume a1116 (tptp.class_Orderings_Otop tptp.tc_bool))
% 1.55/1.72  (assume a1117 (tptp.class_Orderings_Obot tptp.tc_bool))
% 1.55/1.72  (assume a1118 (tptp.class_HOL_Oord tptp.tc_bool))
% 1.55/1.72  (assume a1119 (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.c_fequal V_x V_x T_a)))
% 1.55/1.72  (assume a1120 (forall ((V_X $$unsorted) (V_Y $$unsorted) (T_a $$unsorted)) (or (= V_X V_Y) (not (tptp.c_fequal V_X V_Y T_a)))))
% 1.55/1.72  (step t1 (cl (not (= (or (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (or (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))))) (not (or (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))) (or (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))) :rule equiv_pos2)
% 1.55/1.72  (step t2 (cl (= (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))) :rule refl)
% 1.55/1.72  (step t3 (cl (= (= (= (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) true) (= (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))))) :rule equiv_simplify)
% 1.55/1.72  (step t4 (cl (not (= (= (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) true)) (= (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) :rule equiv1 :premises (t3))
% 1.55/1.72  (step t5 (cl (= (= (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)) (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))))))) :rule all_simplify)
% 1.55/1.72  (step t6 (cl (= (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) :rule refl)
% 1.55/1.72  (step t7 (cl (= (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) :rule all_simplify)
% 1.55/1.72  (step t8 (cl (= (= (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)) (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))))) (= (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))))) :rule cong :premises (t6 t7))
% 1.55/1.72  (step t9 (cl (= (= (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) true)) :rule all_simplify)
% 1.55/1.72  (step t10 (cl (= (= (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)) (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))))) true)) :rule trans :premises (t8 t9))
% 1.55/1.72  (step t11 (cl (= (= (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) true)) :rule trans :premises (t5 t10))
% 1.55/1.72  (step t12 (cl (= (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) :rule resolution :premises (t4 t11))
% 1.55/1.72  (step t13 (cl (= (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))))) :rule refl)
% 1.55/1.72  (step t14 (cl (= (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))))) :rule refl)
% 1.55/1.72  (step t15 (cl (= (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))))) :rule refl)
% 1.55/1.72  (step t16 (cl (= (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))) :rule refl)
% 1.55/1.72  (step t17 (cl (= (or (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (or (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))))) :rule cong :premises (t2 t12 t13 t14 t15 t16))
% 1.55/1.72  (step t18 (cl (not (= (=> (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))))) (not (=> (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))) (not (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))) :rule equiv_pos2)
% 1.55/1.72  (step t19 (cl (= (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))) :rule refl)
% 1.55/1.72  (step t20 (cl (= (= (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) false) (not (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))))) :rule equiv_simplify)
% 1.55/1.72  (step t21 (cl (= (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) false) (not (not (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))))) :rule equiv2 :premises (t20))
% 1.55/1.72  (step t22 (cl (not (not (not (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))))) (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) :rule not_not)
% 1.55/1.72  (step t23 (cl (= (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) false) (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) :rule resolution :premises (t21 t22))
% 1.55/1.72  (step t24 (cl (=> (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) false) (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) :rule implies_neg1)
% 1.55/1.72  (anchor :step t25)
% 1.55/1.72  (assume t25.a0 (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))
% 1.55/1.72  (assume t25.a1 (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))
% 1.55/1.72  (step t25.t1 (cl (not (= (= false true) false)) (not (= false true)) false) :rule equiv_pos2)
% 1.55/1.72  (step t25.t2 (cl (= (= false true) false)) :rule all_simplify)
% 1.55/1.72  (step t25.t3 (cl (= (= (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) false) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))) :rule equiv_simplify)
% 1.55/1.72  (step t25.t4 (cl (= (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) false) (not (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))) :rule equiv2 :premises (t25.t3))
% 1.55/1.72  (step t25.t5 (cl (not (not (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) :rule not_not)
% 1.55/1.72  (step t25.t6 (cl (= (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) false) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) :rule resolution :premises (t25.t4 t25.t5))
% 1.55/1.72  (step t25.t7 (cl (= (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) false)) :rule resolution :premises (t25.t6 t25.a0))
% 1.55/1.72  (step t25.t8 (cl (= false (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) :rule symm :premises (t25.t7))
% 1.55/1.72  (step t25.t9 (cl (= (= (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) true) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) :rule equiv_simplify)
% 1.55/1.72  (step t25.t10 (cl (= (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) true) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) :rule equiv2 :premises (t25.t9))
% 1.55/1.72  (step t25.t11 (cl (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) :rule symm :premises (t25.a1))
% 1.55/1.72  (step t25.t12 (cl (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) :rule symm :premises (t25.t11))
% 1.55/1.72  (step t25.t13 (cl (= (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) true)) :rule resolution :premises (t25.t10 t25.t12))
% 1.55/1.72  (step t25.t14 (cl (= false true)) :rule trans :premises (t25.t8 t25.t13))
% 1.55/1.72  (step t25.t15 (cl false) :rule resolution :premises (t25.t1 t25.t2 t25.t14))
% 1.55/1.72  (step t25 (cl (not (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) false) :rule subproof :discharge (t25.a0 t25.a1))
% 1.55/1.72  (step t26 (cl (not (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) :rule and_pos)
% 1.55/1.72  (step t27 (cl (not (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) :rule and_pos)
% 1.55/1.72  (step t28 (cl false (not (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))) :rule resolution :premises (t25 t26 t27))
% 1.55/1.72  (step t29 (cl (not (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) false) :rule reordering :premises (t28))
% 1.55/1.72  (step t30 (cl (not (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) false) :rule contraction :premises (t29))
% 1.55/1.72  (step t31 (cl (=> (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) false) false) :rule resolution :premises (t24 t30))
% 1.55/1.72  (step t32 (cl (=> (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) false) (not false)) :rule implies_neg2)
% 1.55/1.72  (step t33 (cl (=> (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) false) (=> (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) false)) :rule resolution :premises (t31 t32))
% 1.55/1.72  (step t34 (cl (=> (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) false)) :rule contraction :premises (t33))
% 1.55/1.72  (step t35 (cl (= (=> (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) false) (not (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))))) :rule implies_simplify)
% 1.55/1.72  (step t36 (cl (not (=> (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) false)) (not (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))) :rule equiv1 :premises (t35))
% 1.55/1.72  (step t37 (cl (not (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))) :rule resolution :premises (t34 t36))
% 1.55/1.72  (step t38 (cl (= (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) false)) :rule resolution :premises (t23 t37))
% 1.55/1.72  (step t39 (cl (= (=> (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (=> (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) false))) :rule cong :premises (t19 t38))
% 1.55/1.72  (step t40 (cl (= (=> (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) false) (not (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))))) :rule all_simplify)
% 1.55/1.72  (step t41 (cl (= (=> (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))))) :rule trans :premises (t39 t40))
% 1.55/1.72  (step t42 (cl (=> (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) :rule implies_neg1)
% 1.55/1.72  (anchor :step t43)
% 1.55/1.72  (assume t43.a0 (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))
% 1.55/1.72  (assume t43.a1 (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))))
% 1.55/1.72  (assume t43.a2 (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))
% 1.55/1.72  (assume t43.a3 (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))))
% 1.55/1.72  (assume t43.a4 (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))
% 1.55/1.72  (assume t43.a5 (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))
% 1.55/1.72  (step t43.t1 (cl (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) :rule and_neg)
% 1.55/1.72  (step t43.t2 (cl (=> (and (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (and (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))))) :rule implies_neg1)
% 1.55/1.72  (anchor :step t43.t3)
% 1.55/1.72  (assume t43.t3.a0 (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))))
% 1.55/1.72  (assume t43.t3.a1 (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))
% 1.55/1.72  (assume t43.t3.a2 (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))
% 1.55/1.72  (assume t43.t3.a3 (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))
% 1.55/1.72  (assume t43.t3.a4 (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))))
% 1.55/1.72  (step t43.t3.t1 (cl (= (= (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) false) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))) :rule equiv_simplify)
% 1.55/1.72  (step t43.t3.t2 (cl (not (= (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) false)) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) :rule equiv1 :premises (t43.t3.t1))
% 1.55/1.72  (step t43.t3.t3 (cl (not (= (= (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)) false) (= (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) false))) (not (= (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)) false)) (= (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) false)) :rule equiv_pos2)
% 1.55/1.72  (step t43.t3.t4 (cl (= (= (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)) false) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))))) :rule all_simplify)
% 1.55/1.72  (step t43.t3.t5 (cl (= (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) :rule all_simplify)
% 1.55/1.72  (step t43.t3.t6 (cl (= (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))) :rule cong :premises (t43.t3.t5))
% 1.55/1.72  (step t43.t3.t7 (cl (= (= (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)) false) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))) :rule trans :premises (t43.t3.t4 t43.t3.t6))
% 1.55/1.72  (step t43.t3.t8 (cl (= (= (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) false) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))) :rule all_simplify)
% 1.55/1.72  (step t43.t3.t9 (cl (= (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) false))) :rule symm :premises (t43.t3.t8))
% 1.55/1.72  (step t43.t3.t10 (cl (= (= (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)) false) (= (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) false))) :rule trans :premises (t43.t3.t7 t43.t3.t9))
% 1.55/1.72  (step t43.t3.t11 (cl (= (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) :rule symm :premises (t43.t3.a3))
% 1.55/1.72  (step t43.t3.t12 (cl (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) :rule symm :premises (t43.t3.t11))
% 1.55/1.72  (step t43.t3.t13 (cl (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a))) :rule symm :premises (t43.t3.a2))
% 1.55/1.72  (step t43.t3.t14 (cl (= (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (tptp.c_Suc (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a)))) :rule cong :premises (t43.t3.t13))
% 1.55/1.72  (step t43.t3.t15 (cl (= (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a))) :rule symm :premises (t43.t3.a1))
% 1.55/1.72  (step t43.t3.t16 (cl (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) :rule symm :premises (t43.t3.t15))
% 1.55/1.72  (step t43.t3.t17 (cl (= (tptp.c_Suc (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a)) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))) :rule cong :premises (t43.t3.t16))
% 1.55/1.72  (step t43.t3.t18 (cl (= (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a))) :rule symm :premises (t43.t3.a0))
% 1.55/1.72  (step t43.t3.t19 (cl (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a))) :rule trans :premises (t43.t3.t12 t43.t3.t14 t43.t3.t17 t43.t3.t18))
% 1.55/1.72  (step t43.t3.t20 (cl (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) :rule refl)
% 1.55/1.72  (step t43.t3.t21 (cl (= (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) :rule cong :premises (t43.t3.t19 t43.t3.t20))
% 1.55/1.72  (step t43.t3.t22 (cl (= (= (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)) false) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))))) :rule equiv_simplify)
% 1.55/1.72  (step t43.t3.t23 (cl (= (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)) false) (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))))) :rule equiv2 :premises (t43.t3.t22))
% 1.55/1.72  (step t43.t3.t24 (cl (not (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))))) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) :rule not_not)
% 1.55/1.72  (step t43.t3.t25 (cl (= (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)) false) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) :rule resolution :premises (t43.t3.t23 t43.t3.t24))
% 1.55/1.72  (step t43.t3.t26 (cl (= (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)) false)) :rule resolution :premises (t43.t3.t25 t43.t3.a4))
% 1.55/1.72  (step t43.t3.t27 (cl (= (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)) false)) :rule trans :premises (t43.t3.t21 t43.t3.t26))
% 1.55/1.72  (step t43.t3.t28 (cl (= (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) false)) :rule resolution :premises (t43.t3.t3 t43.t3.t10 t43.t3.t27))
% 1.55/1.72  (step t43.t3.t29 (cl (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) :rule resolution :premises (t43.t3.t2 t43.t3.t28))
% 1.55/1.72  (step t43.t3 (cl (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))) (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) :rule subproof :discharge (t43.t3.a0 t43.t3.a1 t43.t3.a2 t43.t3.a3 t43.t3.a4))
% 1.55/1.72  (step t43.t4 (cl (not (and (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))))) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))) :rule and_pos)
% 1.55/1.72  (step t43.t5 (cl (not (and (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) :rule and_pos)
% 1.55/1.72  (step t43.t6 (cl (not (and (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) :rule and_pos)
% 1.55/1.72  (step t43.t7 (cl (not (and (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) :rule and_pos)
% 1.55/1.72  (step t43.t8 (cl (not (and (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) :rule and_pos)
% 1.55/1.72  (step t43.t9 (cl (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (and (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))))) (not (and (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))))) (not (and (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))))) (not (and (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))))) (not (and (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))))) :rule resolution :premises (t43.t3 t43.t4 t43.t5 t43.t6 t43.t7 t43.t8))
% 1.55/1.72  (step t43.t10 (cl (not (and (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))))) (not (and (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))))) (not (and (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))))) (not (and (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))))) (not (and (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) :rule reordering :premises (t43.t9))
% 1.55/1.72  (step t43.t11 (cl (not (and (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) :rule contraction :premises (t43.t10))
% 1.55/1.72  (step t43.t12 (cl (=> (and (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) :rule resolution :premises (t43.t2 t43.t11))
% 1.55/1.72  (step t43.t13 (cl (=> (and (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))) :rule implies_neg2)
% 1.55/1.72  (step t43.t14 (cl (=> (and (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (=> (and (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))) :rule resolution :premises (t43.t12 t43.t13))
% 1.55/1.72  (step t43.t15 (cl (=> (and (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))) :rule contraction :premises (t43.t14))
% 1.55/1.72  (step t43.t16 (cl (not (and (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) :rule implies :premises (t43.t15))
% 1.55/1.72  (step t43.t17 (cl (and (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))) (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))))) :rule and_neg)
% 1.55/1.72  (step t43.t18 (cl (and (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))))) :rule resolution :premises (t43.t17 t43.a3 t43.a2 t43.a0 t43.a4 t43.a1))
% 1.55/1.72  (step t43.t19 (cl (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) :rule resolution :premises (t43.t16 t43.t18))
% 1.55/1.72  (step t43.t20 (cl (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) :rule resolution :premises (t43.t1 t43.t19 t43.a5))
% 1.55/1.72  (step t43 (cl (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) :rule subproof :discharge (t43.a0 t43.a1 t43.a2 t43.a3 t43.a4 t43.a5))
% 1.55/1.72  (step t44 (cl (not (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) :rule and_pos)
% 1.55/1.72  (step t45 (cl (not (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) :rule and_pos)
% 1.55/1.72  (step t46 (cl (not (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) :rule and_pos)
% 1.55/1.72  (step t47 (cl (not (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))) :rule and_pos)
% 1.55/1.72  (step t48 (cl (not (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) :rule and_pos)
% 1.55/1.72  (step t49 (cl (not (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) :rule and_pos)
% 1.55/1.72  (step t50 (cl (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))) :rule resolution :premises (t43 t44 t45 t46 t47 t48 t49))
% 1.55/1.72  (step t51 (cl (not (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) :rule reordering :premises (t50))
% 1.55/1.72  (step t52 (cl (not (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) :rule contraction :premises (t51))
% 1.55/1.72  (step t53 (cl (=> (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) :rule resolution :premises (t42 t52))
% 1.55/1.72  (step t54 (cl (=> (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))) :rule implies_neg2)
% 1.55/1.72  (step t55 (cl (=> (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (=> (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))) :rule resolution :premises (t53 t54))
% 1.55/1.72  (step t56 (cl (=> (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (and (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))) :rule contraction :premises (t55))
% 1.55/1.72  (step t57 (cl (not (and (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))) :rule resolution :premises (t18 t41 t56))
% 1.55/1.72  (step t58 (cl (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) :rule not_and :premises (t57))
% 1.55/1.72  (step t59 (cl (or (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))) :rule or_neg)
% 1.55/1.72  (step t60 (cl (or (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))))) :rule or_neg)
% 1.55/1.72  (step t61 (cl (or (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))))) :rule or_neg)
% 1.55/1.72  (step t62 (cl (or (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))))) :rule or_neg)
% 1.55/1.72  (step t63 (cl (or (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))))) :rule or_neg)
% 1.55/1.72  (step t64 (cl (or (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))) :rule or_neg)
% 1.55/1.72  (step t65 (cl (or (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (or (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (or (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (or (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (or (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (or (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))) :rule resolution :premises (t58 t59 t60 t61 t62 t63 t64))
% 1.55/1.72  (step t66 (cl (or (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))) :rule contraction :premises (t65))
% 1.55/1.72  (step t67 (cl (or (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))) :rule resolution :premises (t1 t17 t66))
% 1.55/1.72  (step t68 (cl (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) :rule or :premises (t67))
% 1.55/1.72  (step t69 (cl (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)) (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) :rule reordering :premises (t68))
% 1.55/1.72  (step t70 (cl (not (= (=> (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) (tptp.c_Suc V_n) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (=> (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) (tptp.c_Suc V_n) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))) (not (=> (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) (tptp.c_Suc V_n) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) (=> (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) (tptp.c_Suc V_n) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) :rule equiv_pos2)
% 1.55/1.72  (step t71 (cl (= (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) (tptp.c_Suc V_n) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))) (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) (tptp.c_Suc V_n) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))))) :rule refl)
% 1.55/1.72  (step t72 (cl (= (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) :rule all_simplify)
% 1.55/1.72  (step t73 (cl (= (=> (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) (tptp.c_Suc V_n) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (=> (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) (tptp.c_Suc V_n) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))))) :rule cong :premises (t71 t72))
% 1.55/1.72  (step t74 (cl (=> (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) (tptp.c_Suc V_n) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) (tptp.c_Suc V_n) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat)))) :rule implies_neg1)
% 1.55/1.72  (anchor :step t75)
% 1.55/1.72  (assume t75.a0 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) (tptp.c_Suc V_n) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))))
% 1.55/1.72  (step t75.t1 (cl (or (not (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) (tptp.c_Suc V_n) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat)))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) :rule forall_inst :args ((:= V_m (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (:= V_n tptp.v_na)))
% 1.55/1.72  (step t75.t2 (cl (not (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) (tptp.c_Suc V_n) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat)))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) :rule or :premises (t75.t1))
% 1.55/1.72  (step t75.t3 (cl (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) :rule resolution :premises (t75.t2 t75.a0))
% 1.55/1.72  (step t75 (cl (not (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) (tptp.c_Suc V_n) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat)))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) :rule subproof :discharge (t75.a0))
% 1.55/1.72  (step t76 (cl (=> (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) (tptp.c_Suc V_n) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) :rule resolution :premises (t74 t75))
% 1.55/1.72  (step t77 (cl (=> (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) (tptp.c_Suc V_n) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (not (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) :rule implies_neg2)
% 1.55/1.72  (step t78 (cl (=> (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) (tptp.c_Suc V_n) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat))) (=> (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) (tptp.c_Suc V_n) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) :rule resolution :premises (t76 t77))
% 1.55/1.72  (step t79 (cl (=> (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) (tptp.c_Suc V_n) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat)))) :rule contraction :premises (t78))
% 1.55/1.72  (step t80 (cl (=> (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) (tptp.c_Suc V_n) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) :rule resolution :premises (t70 t73 t79))
% 1.55/1.72  (step t81 (cl (not (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) (tptp.c_Suc V_n) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat)))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) :rule implies :premises (t80))
% 1.55/1.72  (step t82 (cl (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.v_na tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) :rule resolution :premises (t81 a1001))
% 1.55/1.72  (step t83 (cl (not (or (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a)))) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a))) :rule or_pos)
% 1.55/1.72  (step t84 (cl (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a)) (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (or (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a))))) :rule reordering :premises (t83))
% 1.55/1.72  (step t85 (cl (not (or (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a) (not (tptp.c_lessequals tptp.v_G (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite tptp.v_U tptp.tc_Com_Opname)))) (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a) (not (tptp.c_lessequals tptp.v_G (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite tptp.v_U tptp.tc_Com_Opname))) :rule or_pos)
% 1.55/1.72  (step t86 (cl (not (tptp.c_Finite__Set_Ofinite tptp.v_U tptp.tc_Com_Opname)) (not (tptp.c_lessequals tptp.v_G (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool))) (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a) (not (or (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a) (not (tptp.c_lessequals tptp.v_G (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite tptp.v_U tptp.tc_Com_Opname))))) :rule reordering :premises (t85))
% 1.55/1.72  (step t87 (cl (=> (forall ((V_B $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite V_B T_b) (not (tptp.c_lessequals V_B (tptp.c_Set_Oimage V_f V_A T_a T_b) (tptp.tc_fun T_b tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))) (or (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a) (not (tptp.c_lessequals tptp.v_G (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite tptp.v_U tptp.tc_Com_Opname)))) (forall ((V_B $$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.c_lessequals V_B (tptp.c_Set_Oimage V_f V_A T_a T_b) (tptp.tc_fun T_b tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_A T_a))))) :rule implies_neg1)
% 1.55/1.72  (anchor :step t88)
% 1.55/1.72  (assume t88.a0 (forall ((V_B $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite V_B T_b) (not (tptp.c_lessequals V_B (tptp.c_Set_Oimage V_f V_A T_a T_b) (tptp.tc_fun T_b tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 1.55/1.72  (step t88.t1 (cl (or (not (forall ((V_B $$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.c_lessequals V_B (tptp.c_Set_Oimage V_f V_A T_a T_b) (tptp.tc_fun T_b tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_A T_a))))) (or (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a) (not (tptp.c_lessequals tptp.v_G (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite tptp.v_U tptp.tc_Com_Opname))))) :rule forall_inst :args ((:= V_B tptp.v_G) (:= T_b tptp.t_a) (:= V_f tptp.v_mgt__call) (:= V_A tptp.v_U) (:= T_a tptp.tc_Com_Opname)))
% 1.55/1.72  (step t88.t2 (cl (not (forall ((V_B $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite V_B T_b) (not (tptp.c_lessequals V_B (tptp.c_Set_Oimage V_f V_A T_a T_b) (tptp.tc_fun T_b tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_A T_a))))) (or (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a) (not (tptp.c_lessequals tptp.v_G (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite tptp.v_U tptp.tc_Com_Opname)))) :rule or :premises (t88.t1))
% 1.55/1.72  (step t88.t3 (cl (or (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a) (not (tptp.c_lessequals tptp.v_G (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite tptp.v_U tptp.tc_Com_Opname)))) :rule resolution :premises (t88.t2 t88.a0))
% 1.55/1.72  (step t88 (cl (not (forall ((V_B $$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.c_lessequals V_B (tptp.c_Set_Oimage V_f V_A T_a T_b) (tptp.tc_fun T_b tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_A T_a))))) (or (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a) (not (tptp.c_lessequals tptp.v_G (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite tptp.v_U tptp.tc_Com_Opname)))) :rule subproof :discharge (t88.a0))
% 1.55/1.72  (step t89 (cl (=> (forall ((V_B $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite V_B T_b) (not (tptp.c_lessequals V_B (tptp.c_Set_Oimage V_f V_A T_a T_b) (tptp.tc_fun T_b tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))) (or (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a) (not (tptp.c_lessequals tptp.v_G (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite tptp.v_U tptp.tc_Com_Opname)))) (or (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a) (not (tptp.c_lessequals tptp.v_G (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite tptp.v_U tptp.tc_Com_Opname)))) :rule resolution :premises (t87 t88))
% 1.55/1.72  (step t90 (cl (=> (forall ((V_B $$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.c_lessequals V_B (tptp.c_Set_Oimage V_f V_A T_a T_b) (tptp.tc_fun T_b tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))) (or (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a) (not (tptp.c_lessequals tptp.v_G (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite tptp.v_U tptp.tc_Com_Opname)))) (not (or (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a) (not (tptp.c_lessequals tptp.v_G (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite tptp.v_U tptp.tc_Com_Opname))))) :rule implies_neg2)
% 1.55/1.72  (step t91 (cl (=> (forall ((V_B $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite V_B T_b) (not (tptp.c_lessequals V_B (tptp.c_Set_Oimage V_f V_A T_a T_b) (tptp.tc_fun T_b tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))) (or (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a) (not (tptp.c_lessequals tptp.v_G (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite tptp.v_U tptp.tc_Com_Opname)))) (=> (forall ((V_B $$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.c_lessequals V_B (tptp.c_Set_Oimage V_f V_A T_a T_b) (tptp.tc_fun T_b tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))) (or (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a) (not (tptp.c_lessequals tptp.v_G (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite tptp.v_U tptp.tc_Com_Opname))))) :rule resolution :premises (t89 t90))
% 1.55/1.72  (step t92 (cl (=> (forall ((V_B $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_Finite__Set_Ofinite V_B T_b) (not (tptp.c_lessequals V_B (tptp.c_Set_Oimage V_f V_A T_a T_b) (tptp.tc_fun T_b tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))) (or (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a) (not (tptp.c_lessequals tptp.v_G (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite tptp.v_U tptp.tc_Com_Opname))))) :rule contraction :premises (t91))
% 1.55/1.72  (step t93 (cl (not (forall ((V_B $$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.c_lessequals V_B (tptp.c_Set_Oimage V_f V_A T_a T_b) (tptp.tc_fun T_b tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite V_A T_a))))) (or (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a) (not (tptp.c_lessequals tptp.v_G (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite tptp.v_U tptp.tc_Com_Opname)))) :rule implies :premises (t92))
% 1.55/1.72  (step t94 (cl (or (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a) (not (tptp.c_lessequals tptp.v_G (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool))) (not (tptp.c_Finite__Set_Ofinite tptp.v_U tptp.tc_Com_Opname)))) :rule resolution :premises (t93 a1013))
% 1.55/1.72  (step t95 (cl (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a)) :rule resolution :premises (t86 a1055 a1056 t94))
% 1.55/1.72  (step t96 (cl (=> (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert V_x V_A T_a) T_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool)) T_a))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a)))) (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert V_x V_A T_a) T_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (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)) T_a))) (not (tptp.c_Finite__Set_Ofinite V_A T_a))))) :rule implies_neg1)
% 1.55/1.72  (anchor :step t97)
% 1.55/1.72  (assume t97.a0 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert V_x V_A T_a) T_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool)) T_a))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 1.55/1.72  (step t97.t1 (cl (or (not (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert V_x V_A T_a) T_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (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)) T_a))) (not (tptp.c_Finite__Set_Ofinite V_A T_a))))) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a))))) :rule forall_inst :args ((:= V_x (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (:= V_A tptp.v_G) (:= T_a tptp.t_a)))
% 1.55/1.72  (step t97.t2 (cl (not (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert V_x V_A T_a) T_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool)) T_a))) (not (tptp.c_Finite__Set_Ofinite V_A T_a))))) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a)))) :rule or :premises (t97.t1))
% 1.55/1.72  (step t97.t3 (cl (or (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a)))) :rule resolution :premises (t97.t2 t97.a0))
% 1.55/1.72  (step t97 (cl (not (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert V_x V_A T_a) T_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (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)) T_a))) (not (tptp.c_Finite__Set_Ofinite V_A T_a))))) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a)))) :rule subproof :discharge (t97.a0))
% 1.55/1.72  (step t98 (cl (=> (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert V_x V_A T_a) T_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool)) T_a))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a)))) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a)))) :rule resolution :premises (t96 t97))
% 1.55/1.72  (step t99 (cl (=> (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert V_x V_A T_a) T_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (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)) T_a))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a)))) (not (or (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a))))) :rule implies_neg2)
% 1.55/1.72  (step t100 (cl (=> (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert V_x V_A T_a) T_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool)) T_a))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a)))) (=> (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert V_x V_A T_a) T_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (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)) T_a))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a))))) :rule resolution :premises (t98 t99))
% 1.55/1.72  (step t101 (cl (=> (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert V_x V_A T_a) T_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool)) T_a))) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a))))) :rule contraction :premises (t100))
% 1.55/1.72  (step t102 (cl (not (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert V_x V_A T_a) T_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (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)) T_a))) (not (tptp.c_Finite__Set_Ofinite V_A T_a))))) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a)))) :rule implies :premises (t101))
% 1.55/1.72  (step t103 (cl (or (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a)))) :rule resolution :premises (t102 a888))
% 1.55/1.72  (step t104 (cl (= (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) tptp.t_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))) :rule resolution :premises (t84 t95 t103))
% 1.55/1.72  (step t105 (cl (not (or (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (tptp.c_in (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a)))) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (tptp.c_in (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a))) :rule or_pos)
% 1.55/1.72  (step t106 (cl (tptp.c_in (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a)) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (not (or (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (tptp.c_in (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a))))) :rule reordering :premises (t105))
% 1.55/1.72  (step t107 (cl (not (= (=> (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.c_Finite__Set_Ocard V_A T_a)) (tptp.c_in V_x V_A T_a) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a)) (tptp.c_in (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a)))) (=> (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (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)) T_a) (tptp.c_Finite__Set_Ocard V_A T_a)) (tptp.c_in V_x V_A T_a) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))) (or (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (tptp.c_in (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a)))))) (not (=> (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.c_Finite__Set_Ocard V_A T_a)) (tptp.c_in V_x V_A T_a) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a)) (tptp.c_in (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a))))) (=> (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (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)) T_a) (tptp.c_Finite__Set_Ocard V_A T_a)) (tptp.c_in V_x V_A T_a) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))) (or (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (tptp.c_in (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a))))) :rule equiv_pos2)
% 1.55/1.72  (step t108 (cl (= (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.c_Finite__Set_Ocard V_A T_a)) (tptp.c_in V_x V_A T_a) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))) (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (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)) T_a) (tptp.c_Finite__Set_Ocard V_A T_a)) (tptp.c_in V_x V_A T_a) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))) :rule refl)
% 1.55/1.72  (step t109 (cl (= (= (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a)) (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)))) :rule all_simplify)
% 1.55/1.72  (step t110 (cl (= (tptp.c_in (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) (tptp.c_in (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a))) :rule refl)
% 1.55/1.72  (step t111 (cl (= (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a)) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a)))) :rule refl)
% 1.55/1.72  (step t112 (cl (= (or (= (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a)) (tptp.c_in (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a))) (or (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (tptp.c_in (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a))))) :rule cong :premises (t109 t110 t111))
% 1.55/1.72  (step t113 (cl (= (=> (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.c_Finite__Set_Ocard V_A T_a)) (tptp.c_in V_x V_A T_a) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a)) (tptp.c_in (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a)))) (=> (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (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)) T_a) (tptp.c_Finite__Set_Ocard V_A T_a)) (tptp.c_in V_x V_A T_a) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))) (or (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (tptp.c_in (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a)))))) :rule cong :premises (t108 t112))
% 1.55/1.72  (step t114 (cl (=> (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.c_Finite__Set_Ocard V_A T_a)) (tptp.c_in V_x V_A T_a) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a)) (tptp.c_in (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a)))) (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (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)) T_a) (tptp.c_Finite__Set_Ocard V_A T_a)) (tptp.c_in V_x V_A T_a) (not (tptp.c_Finite__Set_Ofinite V_A T_a))))) :rule implies_neg1)
% 1.55/1.72  (anchor :step t115)
% 1.55/1.72  (assume t115.a0 (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.c_Finite__Set_Ocard V_A T_a)) (tptp.c_in V_x V_A T_a) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))))
% 1.55/1.72  (step t115.t1 (cl (or (not (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (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)) T_a) (tptp.c_Finite__Set_Ocard V_A T_a)) (tptp.c_in V_x V_A T_a) (not (tptp.c_Finite__Set_Ofinite V_A T_a))))) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a)) (tptp.c_in (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a))))) :rule forall_inst :args ((:= V_A tptp.v_G) (:= V_x (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (:= T_a tptp.t_a)))
% 1.55/1.72  (step t115.t2 (cl (not (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.c_Finite__Set_Ocard V_A T_a)) (tptp.c_in V_x V_A T_a) (not (tptp.c_Finite__Set_Ofinite V_A T_a))))) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a)) (tptp.c_in (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a)))) :rule or :premises (t115.t1))
% 1.55/1.72  (step t115.t3 (cl (or (= (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a)) (tptp.c_in (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a)))) :rule resolution :premises (t115.t2 t115.a0))
% 1.55/1.72  (step t115 (cl (not (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (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)) T_a) (tptp.c_Finite__Set_Ocard V_A T_a)) (tptp.c_in V_x V_A T_a) (not (tptp.c_Finite__Set_Ofinite V_A T_a))))) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a)) (tptp.c_in (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a)))) :rule subproof :discharge (t115.a0))
% 1.55/1.72  (step t116 (cl (=> (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.c_Finite__Set_Ocard V_A T_a)) (tptp.c_in V_x V_A T_a) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a)) (tptp.c_in (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a)))) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a)) (tptp.c_in (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a)))) :rule resolution :premises (t114 t115))
% 1.55/1.72  (step t117 (cl (=> (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (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)) T_a) (tptp.c_Finite__Set_Ocard V_A T_a)) (tptp.c_in V_x V_A T_a) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a)) (tptp.c_in (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a)))) (not (or (= (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a)) (tptp.c_in (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a))))) :rule implies_neg2)
% 1.55/1.72  (step t118 (cl (=> (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.c_Finite__Set_Ocard V_A T_a)) (tptp.c_in V_x V_A T_a) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a)) (tptp.c_in (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a)))) (=> (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (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)) T_a) (tptp.c_Finite__Set_Ocard V_A T_a)) (tptp.c_in V_x V_A T_a) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a)) (tptp.c_in (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a))))) :rule resolution :premises (t116 t117))
% 1.55/1.72  (step t119 (cl (=> (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus V_A (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.c_Finite__Set_Ocard V_A T_a)) (tptp.c_in V_x V_A T_a) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))) (or (= (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a)) (tptp.c_in (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a))))) :rule contraction :premises (t118))
% 1.55/1.72  (step t120 (cl (=> (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (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)) T_a) (tptp.c_Finite__Set_Ocard V_A T_a)) (tptp.c_in V_x V_A T_a) (not (tptp.c_Finite__Set_Ofinite V_A T_a)))) (or (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (tptp.c_in (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a))))) :rule resolution :premises (t107 t113 t119))
% 1.55/1.72  (step t121 (cl (not (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Finite__Set_Ocard (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)) T_a) (tptp.c_Finite__Set_Ocard V_A T_a)) (tptp.c_in V_x V_A T_a) (not (tptp.c_Finite__Set_Ofinite V_A T_a))))) (or (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (tptp.c_in (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a)))) :rule implies :premises (t120))
% 1.55/1.72  (step t122 (cl (or (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a)) (tptp.c_in (tptp.hAPP tptp.v_mgt__call tptp.v_pn) tptp.v_G tptp.t_a) (not (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a)))) :rule resolution :premises (t121 a870))
% 1.55/1.72  (step t123 (cl (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call tptp.v_pn) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)) tptp.t_a))) :rule resolution :premises (t106 a1060 t95 t122))
% 1.55/1.72  (step t124 (cl (not (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (tptp.c_lessequals (tptp.c_Suc tptp.v_na) (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.tc_nat)))) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (tptp.c_lessequals (tptp.c_Suc tptp.v_na) (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.tc_nat))) :rule or_pos)
% 1.55/1.72  (step t125 (cl (not (tptp.c_lessequals (tptp.c_Suc tptp.v_na) (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (tptp.c_lessequals (tptp.c_Suc tptp.v_na) (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.tc_nat))))) :rule reordering :premises (t124))
% 1.55/1.72  (step t126 (cl (=> (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) V_n tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)))) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (tptp.c_lessequals (tptp.c_Suc tptp.v_na) (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.tc_nat)))) (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) V_n tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))) (not (tptp.c_lessequals V_n V_m tptp.tc_nat))))) :rule implies_neg1)
% 1.55/1.72  (anchor :step t127)
% 1.55/1.72  (assume t127.a0 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) V_n tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)))))
% 1.55/1.72  (step t127.t1 (cl (or (not (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) V_n tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))) (not (tptp.c_lessequals V_n V_m tptp.tc_nat))))) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (tptp.c_lessequals (tptp.c_Suc tptp.v_na) (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.tc_nat))))) :rule forall_inst :args ((:= V_m (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (:= V_n (tptp.c_Suc tptp.v_na))))
% 1.55/1.72  (step t127.t2 (cl (not (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) V_n tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))) (not (tptp.c_lessequals V_n V_m tptp.tc_nat))))) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (tptp.c_lessequals (tptp.c_Suc tptp.v_na) (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.tc_nat)))) :rule or :premises (t127.t1))
% 1.55/1.72  (step t127.t3 (cl (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (tptp.c_lessequals (tptp.c_Suc tptp.v_na) (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.tc_nat)))) :rule resolution :premises (t127.t2 t127.a0))
% 1.55/1.72  (step t127 (cl (not (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) V_n tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))) (not (tptp.c_lessequals V_n V_m tptp.tc_nat))))) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (tptp.c_lessequals (tptp.c_Suc tptp.v_na) (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.tc_nat)))) :rule subproof :discharge (t127.a0))
% 1.55/1.72  (step t128 (cl (=> (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) V_n tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)))) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (tptp.c_lessequals (tptp.c_Suc tptp.v_na) (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.tc_nat)))) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (tptp.c_lessequals (tptp.c_Suc tptp.v_na) (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.tc_nat)))) :rule resolution :premises (t126 t127))
% 1.55/1.72  (step t129 (cl (=> (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) V_n tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)))) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (tptp.c_lessequals (tptp.c_Suc tptp.v_na) (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.tc_nat)))) (not (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (tptp.c_lessequals (tptp.c_Suc tptp.v_na) (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.tc_nat))))) :rule implies_neg2)
% 1.55/1.72  (step t130 (cl (=> (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) V_n tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)))) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (tptp.c_lessequals (tptp.c_Suc tptp.v_na) (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.tc_nat)))) (=> (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) V_n tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)))) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (tptp.c_lessequals (tptp.c_Suc tptp.v_na) (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.tc_nat))))) :rule resolution :premises (t128 t129))
% 1.55/1.72  (step t131 (cl (=> (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) V_n tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)))) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (tptp.c_lessequals (tptp.c_Suc tptp.v_na) (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.tc_nat))))) :rule contraction :premises (t130))
% 1.55/1.72  (step t132 (cl (not (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) V_n tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))) (not (tptp.c_lessequals V_n V_m tptp.tc_nat))))) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (tptp.c_lessequals (tptp.c_Suc tptp.v_na) (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.tc_nat)))) :rule implies :premises (t131))
% 1.55/1.72  (step t133 (cl (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat))) (not (tptp.c_lessequals (tptp.c_Suc tptp.v_na) (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) tptp.tc_nat)))) :rule resolution :premises (t132 a1008))
% 1.55/1.72  (step t134 (cl (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) (tptp.c_Suc tptp.v_na) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a) (tptp.c_Suc tptp.v_na) tptp.tc_nat)))) :rule resolution :premises (t125 a1057 t133))
% 1.55/1.72  (step t135 (cl) :rule resolution :premises (t69 t82 t104 t123 t134 a1061 a1058))
% 1.55/1.72  
% 1.55/1.73  % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.lvWuDzgyjI/cvc5---1.0.5_26330.smt2
% 1.55/1.73  % cvc5---1.0.5 exiting
% 1.55/1.73  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------