%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL753-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n032.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 17:26:19 EDT 2024

% Result   : Unsatisfiable 3.30s 3.56s
% Output   : Proof 3.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14  % Problem    : LCL753-1 : TPTP v8.2.0. Released v4.1.0.
% 0.05/0.15  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n032.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon May 27 22:17:09 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.38/0.57  %----Proving TF0_NAR, FOF, or CNF
% 0.38/0.57  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 3.30/3.56  % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.NRlLjHJMJ0/cvc5---1.0.5_7978.smt2
% 3.30/3.56  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.NRlLjHJMJ0/cvc5---1.0.5_7978.smt2
% 3.42/3.59  (assume a0 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= V_x (tptp.c_HOL_Oplus__class_Oplus V_x V_a T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.59  (assume a1 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) V_m)) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 3.42/3.59  (assume a2 (forall ((V_x $$unsorted) (V_a $$unsorted)) (or (not (= V_x (tptp.c_HOL_Oplus__class_Oplus V_x V_a tptp.tc_nat))) (= V_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 3.42/3.59  (assume a3 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 3.42/3.59  (assume a4 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)))))
% 3.42/3.59  (assume a5 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 3.42/3.59  (assume a6 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)))))
% 3.42/3.59  (assume a7 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.59  (assume a8 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.59  (assume a9 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) V_a))))
% 3.42/3.59  (assume a10 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.59  (assume a11 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.59  (assume a12 (forall ((V_m $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_m V_m tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 3.42/3.59  (assume a13 (forall ((V_m $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) V_m)))
% 3.42/3.59  (assume a14 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a) (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a) T_a) V_c T_a)))))
% 3.42/3.59  (assume a15 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower V_a V_n T_a) V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a)))))
% 3.42/3.59  (assume a16 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_p $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower V_x V_p T_a) (tptp.c_Power_Opower__class_Opower V_x V_q T_a) T_a) (tptp.c_Power_Opower__class_Opower V_x (tptp.c_HOL_Oplus__class_Oplus V_p V_q tptp.tc_nat) T_a)))))
% 3.42/3.59  (assume a17 (forall ((V_n $$unsorted) (V_t $$unsorted) (V_k $$unsorted)) (= (tptp.c_Lambda_Oliftn (tptp.c_Suc V_n) V_t V_k) (tptp.c_Lambda_Olift (tptp.c_Lambda_Oliftn V_n V_t V_k) V_k))))
% 3.42/3.59  (assume a18 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone T_a) V_x T_a)))))
% 3.42/3.59  (assume a19 (forall ((T_a $$unsorted) (V_m $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_m V_m T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a) V_m T_a)))))
% 3.42/3.59  (assume a20 (forall ((T_a $$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)))))
% 3.42/3.59  (assume a21 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.59  (assume a22 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 3.42/3.59  (assume a23 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 3.42/3.59  (assume a24 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.59  (assume a25 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_Suc V_x) (tptp.c_Suc V_y))) (= V_x V_y))))
% 3.42/3.59  (assume a26 (forall ((V_nat $$unsorted) (V_nat_H $$unsorted)) (or (not (= (tptp.c_Suc V_nat) (tptp.c_Suc V_nat_H))) (= V_nat V_nat_H))))
% 3.42/3.59  (assume a27 (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 3.42/3.59  (assume a28 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a) V_e T_a) V_d T_a) T_a)))))
% 3.42/3.59  (assume a29 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a) V_e T_a) V_d T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a) T_a)))))
% 3.42/3.59  (assume a30 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_e T_a) V_c T_a) V_d T_a)))))
% 3.42/3.59  (assume a31 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_e T_a) V_c T_a) V_d T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a) T_a)))))
% 3.42/3.59  (assume a32 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_Divides_Odiv__class_Omod V_m V_n tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) V_n tptp.tc_nat)) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)))))
% 3.42/3.59  (assume a33 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_Power_Opower__class_Opower V_x (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) T_a) V_x))))
% 3.42/3.59  (assume a34 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.c_Power_Opower__class_Opower V_a (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) T_a) V_a))))
% 3.42/3.59  (assume a35 (forall ((T_a $$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)))))
% 3.42/3.59  (assume a36 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (= (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.59  (assume a37 (forall ((T_a $$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)))))
% 3.42/3.59  (assume a38 (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)))))
% 3.42/3.59  (assume a39 (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))
% 3.42/3.59  (assume a40 (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)))))
% 3.42/3.59  (assume a41 (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)))))
% 3.42/3.59  (assume a42 (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)))))
% 3.42/3.59  (assume a43 (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)))))
% 3.42/3.59  (assume a44 (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))))))
% 3.42/3.59  (assume a45 (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)))))
% 3.42/3.59  (assume a46 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_a T_a) T_a)))))
% 3.42/3.59  (assume a47 (forall ((T_a $$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)))))
% 3.42/3.59  (assume a48 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.42/3.59  (assume a49 (forall ((T_a $$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)))))
% 3.42/3.59  (assume a50 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom 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_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_Power_Opower__class_Opower V_b V_n T_a) T_a)))))
% 3.42/3.59  (assume a51 (forall ((V_j $$unsorted) (V_i $$unsorted) (V_k $$unsorted)) (or (tptp.c_lessequals V_j (tptp.c_HOL_Oplus__class_Oplus V_i V_k tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat) V_i tptp.tc_nat)))))
% 3.42/3.59  (assume a52 (forall ((V_j $$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)))))
% 3.42/3.59  (assume a53 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.42/3.59  (assume a54 (forall ((T_a $$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))))))
% 3.42/3.59  (assume a55 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_y T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.42/3.59  (assume a56 (forall ((T_a $$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))))
% 3.42/3.59  (assume a57 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_d T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_d T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a))) (= V_c V_d) (= V_a V_b))))
% 3.42/3.59  (assume a58 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) V_n T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.59  (assume a59 (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))))
% 3.42/3.59  (assume a60 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.42/3.59  (assume a61 (forall ((T_a $$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)))))
% 3.42/3.59  (assume a62 (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)))))
% 3.42/3.59  (assume a63 (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))))
% 3.42/3.59  (assume a64 (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))))
% 3.42/3.59  (assume a65 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a))))
% 3.42/3.59  (assume a66 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_b_H $$unsorted) (V_a $$unsorted) (V_a_H $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (not (= (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a) (tptp.c_Divides_Odiv__class_Omod V_b_H V_c T_a))) (not (= (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a) (tptp.c_Divides_Odiv__class_Omod V_a_H V_c T_a))) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes V_a_H V_b_H T_a) V_c T_a)))))
% 3.42/3.59  (assume a67 (forall ((V_i $$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)))))
% 3.42/3.59  (assume a68 (forall ((V_j $$unsorted) (V_i $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_j V_i tptp.tc_nat) V_k tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat) V_i tptp.tc_nat)) (not (tptp.c_lessequals V_k V_j tptp.tc_nat)))))
% 3.42/3.59  (assume a69 (forall ((T_a $$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)))))
% 3.42/3.59  (assume a70 (forall ((T_a $$unsorted) (V_lx $$unsorted) (V_ly $$unsorted) (V_rx $$unsorted) (V_ry $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes V_lx V_ly T_a) (tptp.c_HOL_Otimes__class_Otimes V_rx V_ry T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes V_lx (tptp.c_HOL_Otimes__class_Otimes V_ly (tptp.c_HOL_Otimes__class_Otimes V_rx V_ry T_a) T_a) T_a)))))
% 3.42/3.59  (assume a71 (forall ((T_a $$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)))))
% 3.42/3.59  (assume a72 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a))))
% 3.42/3.59  (assume a73 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.59  (assume a74 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.59  (assume a75 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.59  (assume a76 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.59  (assume a77 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.59  (assume a78 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.59  (assume a79 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.59  (assume a80 (forall ((T_a $$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)))))
% 3.42/3.59  (assume a81 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Nat_Osemiring__char__0 T_a)) (not (= (tptp.c_Nat_Osemiring__1__class_Oof__nat V_m T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a))) (= V_m V_n))))
% 3.42/3.59  (assume a82 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) (tptp.c_HOL_Oinverse__class_Oinverse 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)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 3.42/3.59  (assume a83 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals V_b V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a)))))
% 3.42/3.59  (assume a84 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals V_b V_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 (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a)))))
% 3.42/3.59  (assume a85 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 3.42/3.59  (assume a86 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.c_Divides_Odiv__class_Omod V_m V_n tptp.tc_nat) V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 3.42/3.59  (assume a87 (forall ((T_a $$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)))))
% 3.42/3.59  (assume a88 (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))))
% 3.42/3.59  (assume a89 (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))))
% 3.42/3.59  (assume a90 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_a T_a)))))
% 3.42/3.59  (assume a91 (forall ((T_a $$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)))))
% 3.42/3.59  (assume a92 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a) (not (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.42/3.59  (assume a93 (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)))))
% 3.42/3.59  (assume a94 (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))))
% 3.42/3.59  (assume a95 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_y T_a) T_a) T_a))))
% 3.42/3.59  (assume a96 (forall ((V_t $$unsorted) (V_s $$unsorted) (V_k $$unsorted)) (= (tptp.c_Lambda_Osubstn (tptp.c_Lambda_OdB_OAbs V_t) V_s V_k) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubstn V_t V_s (tptp.c_HOL_Oplus__class_Oplus V_k (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))
% 3.42/3.59  (assume a97 (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)))))
% 3.42/3.59  (assume a98 (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)))))
% 3.42/3.59  (assume a99 (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)))))
% 3.42/3.59  (assume a100 (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)))))
% 3.42/3.59  (assume a101 (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)))))
% 3.42/3.59  (assume a102 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_N $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_a V_N T_a) (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals V_n V_N tptp.tc_nat)))))
% 3.42/3.59  (assume a103 (forall ((V_i $$unsorted) (V_m $$unsorted) (V_j $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_i (tptp.c_HOL_Oplus__class_Oplus V_m V_j tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_i V_j tptp.tc_nat)))))
% 3.42/3.59  (assume a104 (forall ((V_i $$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)))))
% 3.42/3.59  (assume a105 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_i V_k tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_i V_j tptp.tc_nat) V_k tptp.tc_nat)))))
% 3.42/3.59  (assume a106 (forall ((V_x $$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)))))
% 3.42/3.59  (assume a107 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Oplus__class_Oplus V_y V_z tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_nat)))))
% 3.42/3.59  (assume a108 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_n V_m tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_Suc V_n) V_m tptp.tc_nat)))))
% 3.42/3.59  (assume a109 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_lessequals (tptp.c_Suc V_n) V_m tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_n V_m tptp.tc_nat)))))
% 3.42/3.59  (assume a110 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_Suc V_m) V_n tptp.tc_nat)))))
% 3.42/3.59  (assume a111 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.c_Suc V_m) V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)))))
% 3.42/3.59  (assume a112 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (tptp.c_lessequals V_b (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) T_a) (not (tptp.c_lessequals V_b V_a T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)))))
% 3.42/3.59  (assume a113 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (tptp.c_lessequals V_b (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) T_a) (not (tptp.c_lessequals V_b V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.42/3.59  (assume a114 (forall ((V_i $$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)))))
% 3.42/3.59  (assume a115 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_i V_k tptp.tc_nat) V_j tptp.tc_nat) (not (tptp.c_lessequals V_i (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_lessequals V_k V_j tptp.tc_nat)))))
% 3.42/3.59  (assume a116 (forall ((V_m $$unsorted) (V_x $$unsorted)) (tptp.c_HOL_Oord__class_Oless V_m (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus V_m V_x tptp.tc_nat)) tptp.tc_nat)))
% 3.42/3.59  (assume a117 (forall ((V_i $$unsorted) (V_m $$unsorted)) (tptp.c_HOL_Oord__class_Oless V_i (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus V_m V_i tptp.tc_nat)) tptp.tc_nat)))
% 3.42/3.59  (assume a118 (forall ((V_i $$unsorted) (V_m $$unsorted)) (tptp.c_HOL_Oord__class_Oless V_i (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus V_i V_m tptp.tc_nat)) tptp.tc_nat)))
% 3.42/3.59  (assume a119 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a))) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_e T_a) V_c T_a) V_d))))
% 3.42/3.59  (assume a120 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_d T_a))) (= V_c (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a) V_e T_a) V_d T_a)))))
% 3.42/3.59  (assume a121 (forall ((T_a $$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)))))
% 3.42/3.59  (assume a122 (forall ((V_m $$unsorted)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Suc V_m)))))
% 3.42/3.59  (assume a123 (forall ((V_nat_H $$unsorted)) (not (= (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Suc V_nat_H)))))
% 3.42/3.59  (assume a124 (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)))))
% 3.42/3.59  (assume a125 (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)))))
% 3.42/3.59  (assume a126 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T_a)) (not (tptp.class_Power_Opower T_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Suc V_n) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.59  (assume a127 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))))
% 3.42/3.59  (assume a128 (forall ((T_a $$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)))))
% 3.42/3.59  (assume a129 (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)))))
% 3.42/3.59  (assume a130 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_e T_a) V_c T_a) T_a)))))
% 3.42/3.59  (assume a131 (forall ((T_a $$unsorted) (V_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_Power_Opower__class_Opower V_a V_n T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.42/3.59  (assume a132 (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)))))
% 3.42/3.59  (assume a133 (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))))
% 3.42/3.59  (assume a134 (forall ((V_j $$unsorted) (V_k $$unsorted) (V_m $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat)) V_m tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_j) (tptp.c_HOL_Oplus__class_Oplus V_k V_m tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_lessequals V_k V_j tptp.tc_nat)))))
% 3.42/3.59  (assume a135 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_x T_a) V_x))))
% 3.42/3.59  (assume a136 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__mult T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a) V_a))))
% 3.42/3.59  (assume a137 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a) V_a))))
% 3.42/3.59  (assume a138 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a) V_a))))
% 3.42/3.59  (assume a139 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a) V_a))))
% 3.42/3.59  (assume a140 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a) V_a))))
% 3.42/3.59  (assume a141 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) T_a) (not (tptp.c_lessequals V_b V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.42/3.59  (assume a142 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m (tptp.c_HOL_Oplus__class_Oplus V_n V_k 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)))))
% 3.42/3.59  (assume a143 (= (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))))
% 3.42/3.59  (assume a144 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a) V_b T_a) (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a)))))
% 3.42/3.59  (assume a145 (forall ((T_a $$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)))))
% 3.42/3.59  (assume a146 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.c_Nat_Osemiring__1__class_Oof__nat V_m T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a) T_a) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 3.42/3.59  (assume a147 (forall ((V_n $$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))))
% 3.42/3.59  (assume a148 (forall ((V_n $$unsorted)) (= (tptp.c_Suc V_n) (tptp.c_HOL_Oplus__class_Oplus V_n (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))
% 3.42/3.59  (assume a149 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.59  (assume a150 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T_a)) (not (tptp.class_Power_Opower T_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))))
% 3.42/3.59  (assume a151 (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)))))
% 3.42/3.59  (assume a152 (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)))))
% 3.42/3.59  (assume a153 (forall ((V_n $$unsorted)) (or (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_n (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)))))
% 3.42/3.59  (assume a154 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) T_a)))))
% 3.42/3.59  (assume a155 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.42/3.59  (assume a156 (forall ((T_a $$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))))
% 3.42/3.59  (assume a157 (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))))
% 3.42/3.59  (assume a158 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero 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_Oinverse__class_Oinverse V_a T_a) T_a)))))
% 3.42/3.59  (assume a159 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.42/3.59  (assume a160 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) V_a))))
% 3.42/3.59  (assume a161 (forall ((V_t $$unsorted) (V_s $$unsorted) (V_n $$unsorted)) (= (tptp.c_Lambda_Osubstn V_t V_s V_n) (tptp.c_Lambda_Osubst V_t (tptp.c_Lambda_Oliftn V_n V_s (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_n))))
% 3.42/3.59  (assume a162 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.c_Power_Opower__class_Opower V_a (tptp.c_Suc V_n) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower V_a V_n T_a) V_a T_a)))))
% 3.42/3.59  (assume a163 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Power_Opower T_a)) (= (tptp.c_Power_Opower__class_Opower V_a (tptp.c_Suc V_n) T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a)))))
% 3.42/3.59  (assume a164 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_Power_Opower__class_Opower V_x (tptp.c_Suc V_n) T_a) (tptp.c_HOL_Otimes__class_Otimes V_x (tptp.c_Power_Opower__class_Opower V_x V_n T_a) T_a)))))
% 3.42/3.59  (assume a165 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_Power_Opower__class_Opower V_x (tptp.c_Suc V_q) T_a) (tptp.c_HOL_Otimes__class_Otimes V_x (tptp.c_Power_Opower__class_Opower V_x V_q T_a) T_a)))))
% 3.42/3.59  (assume a166 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted) (V_l $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_i V_k tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_j V_l tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_k V_l tptp.tc_nat)) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))))
% 3.42/3.59  (assume a167 (forall ((T_a $$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)))))
% 3.42/3.59  (assume a168 (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)))))
% 3.42/3.59  (assume a169 (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)))))
% 3.42/3.59  (assume a170 (forall ((V_x $$unsorted)) (or (not (tptp.c_lessequals V_x V_x tptp.tc_nat)) (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_Suc V_x) tptp.tc_nat))))
% 3.42/3.59  (assume a171 (forall ((T_a $$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)))))
% 3.42/3.59  (assume a172 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.59  (assume a173 (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))
% 3.42/3.59  (assume a174 (forall ((T_a $$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)))))
% 3.42/3.59  (assume a175 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_a T_a)))))
% 3.42/3.59  (assume a176 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a) (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a) T_a) V_c T_a)))))
% 3.42/3.59  (assume a177 (forall ((T_a $$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)))))
% 3.42/3.59  (assume a178 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a)))))
% 3.42/3.59  (assume a179 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) (tptp.c_HOL_Oinverse__class_Oinverse 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)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 3.42/3.59  (assume a180 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a)))))
% 3.42/3.59  (assume a181 (forall ((T_a $$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)))))
% 3.42/3.59  (assume a182 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus V_i (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_i V_k tptp.tc_nat) V_j tptp.tc_nat)) (not (tptp.c_lessequals V_k V_j tptp.tc_nat)))))
% 3.42/3.59  (assume a183 (forall ((V_m $$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))))
% 3.42/3.59  (assume a184 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a) (not (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.42/3.59  (assume a185 (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)))))
% 3.42/3.59  (assume a186 (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)))))
% 3.42/3.59  (assume a187 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_x (tptp.c_HOL_Oone__class_Oone T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) T_a)))))
% 3.42/3.59  (assume a188 (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)))))
% 3.42/3.59  (assume a189 (= (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)))
% 3.42/3.59  (assume a190 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (tptp.c_lessequals V_y V_x T_a) (not (tptp.c_lessequals V_x V_y T_a)))))
% 3.42/3.59  (assume a191 (forall ((V_i $$unsorted) (V_k $$unsorted)) (or (not (tptp.c_lessequals V_i (tptp.c_HOL_Oplus__class_Oplus V_k V_i tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_k V_i tptp.tc_nat) V_i tptp.tc_nat) V_k))))
% 3.42/3.59  (assume a192 (forall ((V_n $$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)))))
% 3.42/3.59  (assume a193 (forall ((V_n $$unsorted) (V_i $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_Lambda_Oliftn V_n (tptp.c_Lambda_OdB_OVar V_i) V_k) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus V_i V_n tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless V_i V_k tptp.tc_nat))))
% 3.42/3.59  (assume a194 (forall ((T_a $$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)))))
% 3.42/3.59  (assume a195 (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)))
% 3.42/3.59  (assume a196 (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)))
% 3.42/3.59  (assume a197 (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)))
% 3.42/3.59  (assume a198 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.42/3.59  (assume a199 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.42/3.59  (assume a200 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.42/3.59  (assume a201 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.42/3.59  (assume a202 (forall ((T_a $$unsorted) (V_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_Oone__class_Oone T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))))
% 3.42/3.59  (assume a203 (forall ((V_n $$unsorted) (V_s $$unsorted) (V_k $$unsorted)) (= (tptp.c_Lambda_Oliftn V_n (tptp.c_Lambda_OdB_OAbs V_s) V_k) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Oliftn V_n V_s (tptp.c_HOL_Oplus__class_Oplus V_k (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))
% 3.42/3.59  (assume a204 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= V_m V_n) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 3.42/3.59  (assume a205 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (not (= (tptp.c_HOL_Ominus__class_Ominus V_n V_m tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (not (= (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= V_m V_n))))
% 3.42/3.59  (assume a206 (forall ((T_a $$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)))))
% 3.42/3.59  (assume a207 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_y V_x T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 3.42/3.59  (assume a208 (forall ((T_a $$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)))))
% 3.42/3.59  (assume a209 (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)))))
% 3.42/3.59  (assume a210 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_lessequals V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.42/3.59  (assume a211 (forall ((T_a $$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)))))
% 3.42/3.59  (assume a212 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_d T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c V_d T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 3.42/3.59  (assume a213 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted) (V_l $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_i V_k tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_j V_l tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_k V_l tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_i V_j tptp.tc_nat)))))
% 3.42/3.59  (assume a214 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_lessequals V_x V_y tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_nat)))))
% 3.42/3.59  (assume a215 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)))))
% 3.42/3.59  (assume a216 (forall ((T_a $$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)))))
% 3.42/3.59  (assume a217 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_y T_a) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))))
% 3.42/3.59  (assume a218 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Oone__class_Oone T_a) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))))
% 3.42/3.59  (assume a219 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Oone__class_Oone T_a) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))))
% 3.42/3.59  (assume a220 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Oone__class_Oone T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 3.42/3.59  (assume a221 (forall ((V_nat_H $$unsorted)) (not (= (tptp.c_Suc V_nat_H) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 3.42/3.59  (assume a222 (forall ((V_m $$unsorted)) (not (= (tptp.c_Suc V_m) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 3.42/3.59  (assume a223 (forall ((T_a $$unsorted) (V_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_Oone__class_Oone T_a) (tptp.c_Power_Opower__class_Opower V_a (tptp.c_Suc V_n) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))))
% 3.42/3.59  (assume a224 (forall ((V_m $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus V_m (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat)) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_m V_k tptp.tc_nat) (tptp.c_Suc V_j) tptp.tc_nat)) (not (tptp.c_lessequals V_k V_j tptp.tc_nat)))))
% 3.42/3.59  (assume a225 (forall ((V_n $$unsorted)) (tptp.c_HOL_Oord__class_Oless V_n (tptp.c_Suc V_n) tptp.tc_nat)))
% 3.42/3.59  (assume a226 (forall ((V_x $$unsorted)) (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_Suc V_x) tptp.tc_nat)))
% 3.42/3.59  (assume a227 (forall ((V_i $$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)))))
% 3.42/3.59  (assume a228 (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)))))
% 3.42/3.59  (assume a229 (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)))))
% 3.42/3.59  (assume a230 (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)))))
% 3.42/3.59  (assume a231 (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)))))
% 3.42/3.59  (assume a232 (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)))))
% 3.42/3.59  (assume a233 (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)))))
% 3.42/3.59  (assume a234 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_i V_k tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_j V_k tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))))
% 3.42/3.59  (assume a235 (forall ((V_m $$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)))))
% 3.42/3.59  (assume a236 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_k V_m tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_k V_n tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 3.42/3.59  (assume a237 (forall ((V_i $$unsorted) (V_j $$unsorted)) (or (not (tptp.c_lessequals V_i V_j tptp.tc_nat)) (= V_j (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ominus__class_Ominus V_j V_i tptp.tc_nat) V_i tptp.tc_nat)))))
% 3.42/3.59  (assume a238 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (= (tptp.c_HOL_Oplus__class_Oplus V_n (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) tptp.tc_nat) V_m) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)))))
% 3.42/3.59  (assume a239 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) V_n tptp.tc_nat) V_m) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)))))
% 3.42/3.59  (assume a240 (forall ((V_i $$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)))))
% 3.42/3.59  (assume a241 (forall ((V_j $$unsorted) (V_k $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat) V_i tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_j V_i tptp.tc_nat) V_k tptp.tc_nat)) (not (tptp.c_lessequals V_k V_j tptp.tc_nat)))))
% 3.42/3.59  (assume a242 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_a (tptp.c_Suc V_n) T_a) (tptp.c_Power_Opower__class_Opower V_b (tptp.c_Suc V_n) T_a) T_a)))))
% 3.42/3.59  (assume a243 (forall ((T_a $$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)))))
% 3.42/3.59  (assume a244 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) T_a)))))
% 3.42/3.59  (assume a245 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors T_a)) (not (= (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.59  (assume a246 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (not (tptp.class_Power_Opower T_a)) (not (= (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.59  (assume a247 (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)))))
% 3.42/3.59  (assume a248 (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)))))
% 3.42/3.59  (assume a249 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.59  (assume a250 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.59  (assume a251 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_d T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals V_c V_d T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 3.42/3.59  (assume a252 (forall ((T_a $$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)))))
% 3.42/3.59  (assume a253 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Power_Opower T_a)) (= (tptp.c_Power_Opower__class_Opower V_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))))
% 3.42/3.59  (assume a254 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_Power_Opower__class_Opower V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_HOL_Oone__class_Oone T_a)))))
% 3.42/3.59  (assume a255 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T_a)) (not (tptp.class_Power_Opower T_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) V_n T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 3.42/3.59  (assume a256 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (not (tptp.class_Power_Opower T_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Ozero__class_Ozero T_a) V_n T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 3.42/3.59  (assume a257 (forall ((V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 3.42/3.59  (assume a258 (forall ((V_t $$unsorted) (V_k $$unsorted)) (= (tptp.c_Lambda_Oliftn (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_t V_k) V_t)))
% 3.42/3.59  (assume a259 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_x (tptp.c_Power_Opower__class_Opower V_x V_q T_a) T_a) (tptp.c_Power_Opower__class_Opower V_x (tptp.c_Suc V_q) T_a)))))
% 3.42/3.59  (assume a260 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower V_x V_q T_a) V_x T_a) (tptp.c_Power_Opower__class_Opower V_x (tptp.c_Suc V_q) T_a)))))
% 3.42/3.59  (assume a261 (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))
% 3.42/3.59  (assume a262 (forall ((T_a $$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)))))
% 3.42/3.59  (assume a263 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus V_b V_a T_a) V_b T_a) (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a)))))
% 3.42/3.59  (assume a264 (forall ((T_a $$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)))))
% 3.42/3.59  (assume a265 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.42/3.59  (assume a266 (forall ((T_a $$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)))))
% 3.42/3.59  (assume a267 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.42/3.60  (assume a268 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a269 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.42/3.60  (assume a270 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a271 (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)))))
% 3.42/3.60  (assume a272 (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)))))
% 3.42/3.60  (assume a273 (forall ((V_n $$unsorted)) (not (tptp.c_lessequals (tptp.c_Suc V_n) V_n tptp.tc_nat))))
% 3.42/3.60  (assume a274 (forall ((V_t $$unsorted) (V_s $$unsorted)) (= (tptp.c_Lambda_Osubstn V_t V_s (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_Osubst V_t V_s (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 3.42/3.60  (assume a275 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.42/3.60  (assume a276 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.42/3.60  (assume a277 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.42/3.60  (assume a278 (forall ((V_i $$unsorted) (V_j $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_i V_j tptp.tc_nat) V_i tptp.tc_nat))))
% 3.42/3.60  (assume a279 (forall ((V_j $$unsorted) (V_i $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_j V_i tptp.tc_nat) V_i tptp.tc_nat))))
% 3.42/3.60  (assume a280 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.42/3.60  (assume a281 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a 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 V_b T_a)))))
% 3.42/3.60  (assume a282 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower V_a (tptp.c_Suc V_n) T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.42/3.60  (assume a283 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Oplus__class_Oplus V_y V_z T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) V_z T_a)))))
% 3.42/3.60  (assume a284 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Oplus__class_Oplus V_y V_z T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus V_y (tptp.c_HOL_Oplus__class_Oplus V_x V_z T_a) T_a)))))
% 3.42/3.60  (assume a285 (forall ((V_x $$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))))
% 3.42/3.60  (assume a286 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) V_k tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_m (tptp.c_HOL_Oplus__class_Oplus V_n V_k tptp.tc_nat) tptp.tc_nat))))
% 3.42/3.60  (assume a287 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a)))))
% 3.42/3.60  (assume a288 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus V_b (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) T_a)))))
% 3.42/3.60  (assume a289 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a)))))
% 3.42/3.60  (assume a290 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_c V_d T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) V_d T_a)))))
% 3.42/3.60  (assume a291 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) V_b T_a)))))
% 3.42/3.60  (assume a292 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_c V_d T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus V_c (tptp.c_HOL_Oplus__class_Oplus V_a V_d T_a) T_a)))))
% 3.42/3.60  (assume a293 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Oplus__class_Oplus V_b V_c T_a) T_a)))))
% 3.42/3.60  (assume a294 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_m tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) tptp.tc_nat)))))
% 3.42/3.60  (assume a295 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.c_Power_Opower__class_Opower V_a (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower V_a V_m T_a) (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a)))))
% 3.42/3.60  (assume a296 (forall ((V_m $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))))
% 3.42/3.60  (assume a297 (forall ((V_n $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))))
% 3.42/3.60  (assume a298 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (tptp.class_Ring__and__Field_Ono__zero__divisors T_a)) (not (tptp.class_Ring__and__Field_Omult__zero T_a)) (not (tptp.class_Power_Opower T_a)) (not (= (tptp.c_Power_Opower__class_Opower V_a (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))))))
% 3.42/3.60  (assume a299 (forall ((T_a $$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))))
% 3.42/3.60  (assume a300 (forall ((V_i $$unsorted) (V_m $$unsorted) (V_j $$unsorted)) (or (tptp.c_lessequals V_i (tptp.c_HOL_Oplus__class_Oplus V_m V_j tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))))
% 3.42/3.60  (assume a301 (forall ((V_i $$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)))))
% 3.42/3.60  (assume a302 (forall ((V_k $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_lessequals V_k V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus V_m V_k tptp.tc_nat) V_n tptp.tc_nat)))))
% 3.42/3.60  (assume a303 (forall ((V_m $$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)))))
% 3.42/3.60  (assume a304 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (tptp.c_lessequals V_x (tptp.c_HOL_Oplus__class_Oplus V_y V_z tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_x V_z tptp.tc_nat)))))
% 3.42/3.60  (assume a305 (forall ((V_x $$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)))))
% 3.42/3.60  (assume a306 (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)))))
% 3.42/3.60  (assume a307 (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)))))
% 3.42/3.60  (assume a308 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a)))))
% 3.42/3.60  (assume a309 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oone__class_Oone T_a) V_n T_a) (tptp.c_HOL_Oone__class_Oone T_a)))))
% 3.42/3.60  (assume a310 (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)))))
% 3.42/3.60  (assume a311 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (tptp.c_lessequals V_y V_x T_a))))
% 3.42/3.60  (assume a312 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_lessequals V_x V_x T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x T_a)))))
% 3.42/3.60  (assume a313 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_x T_a) (tptp.c_lessequals V_x V_x T_a))))
% 3.42/3.60  (assume a314 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a315 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_lessequals V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a))))
% 3.42/3.60  (assume a316 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a317 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_lessequals V_x V_y T_a))))
% 3.42/3.60  (assume a318 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a319 (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)))))
% 3.42/3.60  (assume a320 (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)))))
% 3.42/3.60  (assume a321 (= (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)))
% 3.42/3.60  (assume a322 (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)))))
% 3.42/3.60  (assume a323 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted) (V_N $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_Power_Opower__class_Opower V_a V_N T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)) (not (tptp.c_lessequals V_n V_N tptp.tc_nat)))))
% 3.42/3.60  (assume a324 (forall ((V_l $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_l V_n tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_l V_m tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 3.42/3.60  (assume a325 (forall ((V_m $$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)))))
% 3.42/3.60  (assume a326 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_m V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_k tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_m tptp.tc_nat)))))
% 3.42/3.60  (assume a327 (forall ((V_m $$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)))))
% 3.42/3.60  (assume a328 (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))))
% 3.42/3.60  (assume a329 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_i V_j tptp.tc_nat) V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_i (tptp.c_HOL_Oplus__class_Oplus V_j V_k tptp.tc_nat) tptp.tc_nat))))
% 3.42/3.60  (assume a330 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_Power_Opower__class_Opower V_b V_n T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 3.42/3.60  (assume a331 (forall ((V_m $$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))))
% 3.42/3.60  (assume a332 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ozero__neq__one T_a)) (not (= (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oone__class_Oone T_a))))))
% 3.42/3.60  (assume a333 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat))) (= V_n (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 3.42/3.60  (assume a334 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat))) (= V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (= V_m (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))))
% 3.42/3.60  (assume a335 (forall ((T_a $$unsorted) (V_m $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T_a)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat (tptp.c_Suc V_m) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_m T_a) T_a)))))
% 3.42/3.60  (assume a336 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone T_a) V_x T_a) (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a)))))
% 3.42/3.60  (assume a337 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Suc V_m) V_n tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_m (tptp.c_Suc V_n) tptp.tc_nat))))
% 3.42/3.60  (assume a338 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_b V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.42/3.60  (assume a339 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_lessequals V_b V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.42/3.60  (assume a340 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_a V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)))))
% 3.42/3.60  (assume a341 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_lessequals V_a V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)))))
% 3.42/3.60  (assume a342 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_lessequals V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)))))
% 3.42/3.60  (assume a343 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_lessequals V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 3.42/3.60  (assume a344 (forall ((V_n $$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))))
% 3.42/3.60  (assume a345 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_m V_k tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_n V_k tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat))))
% 3.42/3.60  (assume a346 (forall ((V_k $$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))))
% 3.42/3.60  (assume a347 (forall ((V_n $$unsorted)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Suc V_n) tptp.tc_nat)))
% 3.42/3.60  (assume a348 (forall ((V_x $$unsorted)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Suc V_x) tptp.tc_nat)))
% 3.42/3.60  (assume a349 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) T_a)))))
% 3.42/3.60  (assume a350 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_e $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_a V_e T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_b V_e T_a) V_c T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_e T_a) V_c T_a)))))
% 3.42/3.60  (assume a351 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a352 (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)))
% 3.42/3.60  (assume a353 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) V_a) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.60  (assume a354 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.42/3.60  (assume a355 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_Power_Opower__class_Opower V_b V_n T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 3.42/3.60  (assume a356 (forall ((T_a $$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))))
% 3.42/3.60  (assume a357 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a V_b))))
% 3.42/3.60  (assume a358 (forall ((T_a $$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))))
% 3.42/3.60  (assume a359 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_y T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.42/3.60  (assume a360 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a361 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_m V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_k tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_m tptp.tc_nat)))))
% 3.42/3.60  (assume a362 (forall ((V_n $$unsorted)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))
% 3.42/3.60  (assume a363 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.42/3.60  (assume a364 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse__class_Oinverse 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)))))
% 3.42/3.60  (assume a365 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.42/3.60  (assume a366 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a367 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a)))))
% 3.42/3.60  (assume a368 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a)) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.60  (assume a369 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.42/3.60  (assume a370 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a371 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.42/3.60  (assume a372 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a373 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.42/3.60  (assume a374 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a375 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_b V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.42/3.60  (assume a376 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_a T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.42/3.60  (assume a377 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Suc V_m) V_n tptp.tc_nat) (= (tptp.c_Suc V_m) V_n) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)))))
% 3.42/3.60  (assume a378 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_lessequals V_m V_n tptp.tc_nat)) (not (tptp.c_lessequals (tptp.c_Suc V_n) V_m tptp.tc_nat)))))
% 3.42/3.60  (assume a379 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_lessequals (tptp.c_Suc V_n) V_m tptp.tc_nat) (tptp.c_lessequals V_m V_n tptp.tc_nat))))
% 3.42/3.60  (assume a380 (forall ((V_x $$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))))
% 3.42/3.60  (assume a381 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T_a)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) T_a) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Nat_Osemiring__1__class_Oof__nat V_m T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a) T_a)) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)))))
% 3.42/3.60  (assume a382 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))))
% 3.42/3.60  (assume a383 (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)))))
% 3.42/3.60  (assume a384 (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)))))
% 3.42/3.60  (assume a385 (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)))))
% 3.42/3.60  (assume a386 (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)))))
% 3.42/3.60  (assume a387 (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)))))
% 3.42/3.60  (assume a388 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_r $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Otimes__class_Otimes V_r V_c T_a) T_a) (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Otimes__class_Otimes V_r V_d T_a) T_a))) (= V_c V_d) (= V_r (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.60  (assume a389 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a390 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_y T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_x (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.60  (assume a391 (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))
% 3.42/3.60  (assume a392 (forall ((V_n $$unsorted)) (not (= (tptp.c_Suc V_n) V_n))))
% 3.42/3.60  (assume a393 (forall ((V_n $$unsorted)) (not (= V_n (tptp.c_Suc V_n)))))
% 3.42/3.60  (assume a394 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (= (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) (tptp.c_HOL_Oone__class_Oone T_a))) (= (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) V_b))))
% 3.42/3.60  (assume a395 (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))))
% 3.42/3.60  (assume a396 (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)))))
% 3.42/3.60  (assume a397 (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)))))
% 3.42/3.60  (assume a398 (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)))))
% 3.42/3.60  (assume a399 (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)))))
% 3.42/3.60  (assume a400 (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)))))
% 3.42/3.60  (assume a401 (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)))))
% 3.42/3.60  (assume a402 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_i V_k tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_j V_k tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_i V_j tptp.tc_nat)))))
% 3.42/3.60  (assume a403 (forall ((V_m $$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)))))
% 3.42/3.60  (assume a404 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_k V_m tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_k V_n tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)))))
% 3.42/3.60  (assume a405 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_z V_x T_a) (not (tptp.c_lessequals V_z V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))))
% 3.42/3.60  (assume a406 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_lessequals V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))))
% 3.42/3.60  (assume a407 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))))
% 3.42/3.60  (assume a408 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a409 (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)))))
% 3.42/3.60  (assume a410 (forall ((V_n $$unsorted)) (tptp.c_lessequals V_n V_n tptp.tc_nat)))
% 3.42/3.60  (assume a411 (forall ((V_i $$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)))))
% 3.42/3.60  (assume a412 (forall ((V_x $$unsorted)) (tptp.c_lessequals V_x V_x tptp.tc_nat)))
% 3.42/3.60  (assume a413 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_x V_x T_a))))
% 3.42/3.60  (assume a414 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_x T_a))))
% 3.42/3.60  (assume a415 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_z T_a) (not (tptp.c_HOL_Oord__class_Oless V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 3.42/3.60  (assume a416 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_z T_a) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))))
% 3.42/3.60  (assume a417 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a418 (= (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))))
% 3.42/3.60  (assume a419 (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))))
% 3.42/3.60  (assume a420 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.60  (assume a421 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a422 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_d T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c V_d T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 3.42/3.60  (assume a423 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (= V_n V_m) (not (tptp.c_HOL_Oord__class_Oless V_n (tptp.c_Suc V_m) tptp.tc_nat)) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 3.42/3.60  (assume a424 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Ominus__class_Ominus V_b V_a T_a) T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a)) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.60  (assume a425 (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)))))
% 3.42/3.60  (assume a426 (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)))))
% 3.42/3.60  (assume a427 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a))) (= V_a V_b) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.60  (assume a428 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a))) (= V_a V_b))))
% 3.42/3.60  (assume a429 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.60  (assume a430 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 3.42/3.60  (assume a431 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 3.42/3.60  (assume a432 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)))))
% 3.42/3.60  (assume a433 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)))))
% 3.42/3.60  (assume a434 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.60  (assume a435 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.60  (assume a436 (forall ((V_n $$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)))))
% 3.42/3.60  (assume a437 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T_a)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Nat_Osemiring__1__class_Oof__nat V_m T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a) T_a)))))
% 3.42/3.60  (assume a438 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a439 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (tptp.c_lessequals V_y V_x T_a) (not (tptp.c_lessequals V_y_H V_x_H T_a)))))
% 3.42/3.60  (assume a440 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__mult T_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) V_n T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_Power_Opower__class_Opower V_b V_n T_a) T_a)))))
% 3.42/3.60  (assume a441 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_q $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) V_q T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower V_x V_q T_a) (tptp.c_Power_Opower__class_Opower V_y V_q T_a) T_a)))))
% 3.42/3.60  (assume a442 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a) V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a)))))
% 3.42/3.60  (assume a443 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a) T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_c T_a)))))
% 3.42/3.60  (assume a444 (forall ((V_n $$unsorted) (V_i $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_Suc V_i) tptp.tc_nat) V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 3.42/3.60  (assume a445 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (= V_n (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))) (= V_m (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))))
% 3.42/3.60  (assume a446 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (= V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 3.42/3.60  (assume a447 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a448 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (not (tptp.c_lessequals V_b V_a T_a)) (= V_a V_b))))
% 3.42/3.60  (assume a449 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (= V_m V_n) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 3.42/3.60  (assume a450 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= V_m V_n) (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 3.42/3.60  (assume a451 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (= V_m V_n) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 3.42/3.60  (assume a452 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a453 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (= V_x V_y) (not (tptp.c_lessequals V_x V_y T_a)))))
% 3.42/3.60  (assume a454 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a455 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_lessequals V_a V_b T_a)) (= V_a V_b))))
% 3.42/3.60  (assume a456 (forall ((T_a $$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))))
% 3.42/3.60  (assume a457 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= V_x V_y) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (not (tptp.c_lessequals V_x V_y T_a)))))
% 3.42/3.60  (assume a458 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (= (tptp.c_HOL_Oinverse__class_Oinverse (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) V_n T_a)))))
% 3.42/3.60  (assume a459 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.42/3.60  (assume a460 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a461 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.42/3.60  (assume a462 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_a T_a) T_a))))
% 3.42/3.60  (assume a463 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a464 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T_a)) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a) (not (tptp.c_lessequals V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.42/3.60  (assume a465 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a466 (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)))))
% 3.42/3.60  (assume a467 (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)))))
% 3.42/3.60  (assume a468 (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)))))
% 3.42/3.60  (assume a469 (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)))))
% 3.42/3.60  (assume a470 (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)))))
% 3.42/3.60  (assume a471 (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)))))
% 3.42/3.60  (assume a472 (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)))))
% 3.42/3.60  (assume a473 (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)))))
% 3.42/3.60  (assume a474 (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)))))
% 3.42/3.60  (assume a475 (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)))))
% 3.42/3.60  (assume a476 (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)))))
% 3.42/3.60  (assume a477 (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)))))
% 3.42/3.60  (assume a478 (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)))))
% 3.42/3.60  (assume a479 (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))))
% 3.42/3.60  (assume a480 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_lessequals V_y V_x T_a) (tptp.c_lessequals V_x V_y T_a))))
% 3.42/3.60  (assume a481 (forall ((V_m $$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))))
% 3.42/3.60  (assume a482 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Oplus__class_Oplus V_k V_m tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_k V_n tptp.tc_nat))) (= V_m V_n))))
% 3.42/3.60  (assume a483 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_x V_y T_a) (tptp.c_HOL_Oplus__class_Oplus V_x V_z T_a))) (= V_y V_z))))
% 3.42/3.60  (assume a484 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a))) (= V_b V_c))))
% 3.42/3.60  (assume a485 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__semigroup__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a))) (= V_b V_c))))
% 3.42/3.60  (assume a486 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__semigroup__add T_a)) (not (= (tptp.c_HOL_Oplus__class_Oplus V_b V_a T_a) (tptp.c_HOL_Oplus__class_Oplus V_c V_a T_a))) (= V_b V_c))))
% 3.42/3.60  (assume a487 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (= (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) (tptp.c_HOL_Oone__class_Oone T_a))) (= V_x (tptp.c_HOL_Oone__class_Oone T_a)))))
% 3.42/3.60  (assume a488 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_x T_a) (tptp.c_lessequals V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a)))))
% 3.42/3.60  (assume a489 (forall ((V_m $$unsorted) (V_n $$unsorted)) (tptp.c_lessequals (tptp.c_Divides_Odiv__class_Omod V_m V_n tptp.tc_nat) V_m tptp.tc_nat)))
% 3.42/3.60  (assume a490 (forall ((V_m $$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)))))
% 3.42/3.60  (assume a491 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_x V_y T_a) V_x T_a) (not (tptp.c_lessequals V_y (tptp.c_HOL_Oone__class_Oone T_a) T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_y T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 3.42/3.60  (assume a492 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a493 (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)))))
% 3.42/3.60  (assume a494 (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)))))
% 3.42/3.60  (assume a495 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero 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_Oinverse__class_Oinverse V_a T_a) T_a)))))
% 3.42/3.60  (assume a496 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Oinverse 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)))))
% 3.42/3.60  (assume a497 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oinverse__class_Oinverse 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)))))
% 3.42/3.60  (assume a498 (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)))))
% 3.42/3.60  (assume a499 (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)))))
% 3.42/3.60  (assume a500 (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)))))
% 3.42/3.60  (assume a501 (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))))))
% 3.42/3.60  (assume a502 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_m) V_n tptp.tc_nat) (tptp.c_Suc V_k) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) V_k tptp.tc_nat))))
% 3.42/3.60  (assume a503 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a504 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes V_x V_x T_a) (tptp.c_HOL_Otimes__class_Otimes V_y V_y T_a) T_a) T_a) (= V_y (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.60  (assume a505 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a506 (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)))))
% 3.42/3.60  (assume a507 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (= (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_Power_Opower__class_Opower V_b V_n T_a))) (= V_a V_b) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)) (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)))))
% 3.42/3.60  (assume a508 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a)) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.60  (assume a509 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_b T_a) T_a)) (= V_b (tptp.c_HOL_Ozero__class_Ozero T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.60  (assume a510 (forall ((V_n $$unsorted)) (tptp.c_lessequals (tptp.c_Suc V_n) (tptp.c_Suc V_n) tptp.tc_nat)))
% 3.42/3.60  (assume a511 (forall ((V_n $$unsorted) (V_s $$unsorted) (V_t $$unsorted) (V_k $$unsorted)) (= (tptp.c_Lambda_Oliftn V_n (tptp.c_Lambda_OdB_OApp V_s V_t) V_k) (tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Oliftn V_n V_s V_k) (tptp.c_Lambda_Oliftn V_n V_t V_k)))))
% 3.42/3.60  (assume a512 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)))))
% 3.42/3.60  (assume a513 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)))))
% 3.42/3.60  (assume a514 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 3.42/3.60  (assume a515 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a)))))
% 3.42/3.60  (assume a516 (forall ((V_n $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_HOL_Ominus__class_Ominus V_n V_i tptp.tc_nat) tptp.tc_nat) V_i) (not (tptp.c_lessequals V_i V_n tptp.tc_nat)))))
% 3.42/3.60  (assume a517 (forall ((T_a $$unsorted) (V_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_Otimes__class_Otimes V_a (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oone__class_Oone T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.42/3.60  (assume a518 (forall ((V_x $$unsorted) (V_s $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_x V_x tptp.tc_nat) (= (tptp.c_Lambda_Osubstn (tptp.c_Lambda_OdB_OVar V_x) V_s V_x) (tptp.c_Lambda_Oliftn V_x V_s (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))))
% 3.42/3.60  (assume a519 (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)))))
% 3.42/3.60  (assume a520 (forall ((V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_x V_x tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_Suc V_x) tptp.tc_nat))))
% 3.42/3.60  (assume a521 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_n (tptp.c_Suc V_m) tptp.tc_nat)))))
% 3.42/3.60  (assume a522 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_n (tptp.c_Suc V_m) tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat))))
% 3.42/3.60  (assume a523 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_b V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.42/3.60  (assume a524 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.42/3.60  (assume a525 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)))))
% 3.42/3.60  (assume a526 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)))))
% 3.42/3.60  (assume a527 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)))))
% 3.42/3.60  (assume a528 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 3.42/3.60  (assume a529 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)))))
% 3.42/3.60  (assume a530 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.42/3.60  (assume a531 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)))))
% 3.42/3.60  (assume a532 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 3.42/3.60  (assume a533 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)))))
% 3.42/3.60  (assume a534 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_c T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_c (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.42/3.60  (assume a535 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes V_c V_a T_a) (tptp.c_HOL_Otimes__class_Otimes V_c V_b T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 3.42/3.60  (assume a536 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (= (tptp.c_Power_Opower__class_Opower V_a (tptp.c_Suc V_n) T_a) (tptp.c_Power_Opower__class_Opower V_b (tptp.c_Suc V_n) T_a))) (= V_a V_b) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.42/3.60  (assume a537 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_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)))))
% 3.42/3.60  (assume a538 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T_a)) (tptp.c_lessequals (tptp.c_HOL_Otimes__class_Otimes V_a V_c T_a) (tptp.c_HOL_Otimes__class_Otimes V_b V_d T_a) T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_c T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)) (not (tptp.c_lessequals V_c V_d T_a)) (not (tptp.c_lessequals V_a V_b T_a)))))
% 3.42/3.60  (assume a539 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) V_a T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.60  (assume a540 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) V_a T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.60  (assume a541 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__ring T_a)) (= (tptp.c_HOL_Otimes__class_Otimes V_a (tptp.c_HOL_Oinverse__class_Oinverse V_a T_a) T_a) (tptp.c_HOL_Oone__class_Oone T_a)) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 3.42/3.60  (assume a542 (forall ((T_a $$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))))
% 3.42/3.60  (assume a543 (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)))))
% 3.42/3.60  (assume a544 (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)))))
% 3.42/3.60  (assume a545 (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)))))
% 3.42/3.60  (assume a546 (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))))
% 3.42/3.60  (assume a547 (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))))
% 3.42/3.60  (assume a548 (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))))
% 3.42/3.60  (assume a549 (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))))
% 3.42/3.60  (assume a550 (forall ((V_x $$unsorted)) (= V_x (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))))
% 3.42/3.60  (assume a551 (forall ((V_n $$unsorted)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat) V_n)))
% 3.42/3.60  (assume a552 (forall ((V_m $$unsorted)) (= (tptp.c_HOL_Oplus__class_Oplus V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) V_m)))
% 3.42/3.60  (assume a553 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= V_x (tptp.c_HOL_Oplus__class_Oplus V_x (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.42/3.60  (assume a554 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) V_a))))
% 3.42/3.60  (assume a555 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) V_a))))
% 3.42/3.60  (assume a556 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__add T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) V_a))))
% 3.42/3.60  (assume a557 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) V_a))))
% 3.42/3.60  (assume a558 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) V_a))))
% 3.42/3.60  (assume a559 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a560 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)))))
% 3.42/3.60  (assume a561 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a562 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a) (not (tptp.c_lessequals (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Otimes__class_Otimes V_a V_b T_a) T_a)))))
% 3.42/3.60  (assume a563 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a564 (forall ((V_t $$unsorted) (V_u $$unsorted) (V_s $$unsorted) (V_k $$unsorted)) (= (tptp.c_Lambda_Osubstn (tptp.c_Lambda_OdB_OApp V_t V_u) V_s V_k) (tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubstn V_t V_s V_k) (tptp.c_Lambda_Osubstn V_u V_s V_k)))))
% 3.42/3.60  (assume a565 (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)))
% 3.42/3.60  (assume a566 (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)))
% 3.42/3.60  (assume a567 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ogroup__add T_a)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus V_a V_b T_a) V_b T_a) V_a))))
% 3.42/3.60  (assume a568 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_lessequals (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) T_a) (not (tptp.c_lessequals V_x (tptp.c_HOL_Oone__class_Oone T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_x T_a)))))
% 3.42/3.60  (assume a569 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_a V_m T_a) (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))))
% 3.42/3.60  (assume a570 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals V_x V_y tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_b V_x T_a) (tptp.c_Power_Opower__class_Opower V_b V_y T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a)))))
% 3.42/3.60  (assume a571 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.c_Power_Opower__class_Opower V_b V_x T_a) (tptp.c_Power_Opower__class_Opower V_b V_y T_a) T_a) (not (tptp.c_lessequals V_x V_y tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a)))))
% 3.42/3.60  (assume a572 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a573 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_a V_c T_a) (tptp.c_HOL_Oplus__class_Oplus V_b V_d T_a) T_a) (not (tptp.c_lessequals V_c V_d T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 3.42/3.60  (assume a574 (forall ((V_x $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Suc V_x) (tptp.c_Suc V_n) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_x V_n tptp.tc_nat)))))
% 3.42/3.60  (assume a575 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Suc V_m) (tptp.c_Suc V_n) tptp.tc_nat)))))
% 3.42/3.60  (assume a576 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Suc V_m) (tptp.c_Suc V_n) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)))))
% 3.42/3.60  (assume a577 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 3.42/3.60  (assume a578 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_m tptp.tc_nat)))))
% 3.42/3.60  (assume a579 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) T_a)))))
% 3.42/3.60  (assume a580 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_HOL_Oplus__class_Oplus V_a V_a T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 3.42/3.60  (assume a581 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a582 (forall ((V_s $$unsorted) (V_r $$unsorted)) (or (= V_s (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osko__Lambda__Xbeta__cases__2__1 V_r V_s))) (not (tptp.c_Lambda_Obeta (tptp.c_Lambda_OdB_OAbs V_r) V_s)))))
% 3.42/3.60  (assume a583 (forall ((V_t $$unsorted) (V_i $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_Olift V_t V_i) (tptp.c_Suc V_k)) (tptp.c_Lambda_Olift (tptp.c_Lambda_Olift V_t V_k) V_i)) (not (tptp.c_HOL_Oord__class_Oless V_i (tptp.c_HOL_Oplus__class_Oplus V_k (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) tptp.tc_nat)))))
% 3.42/3.60  (assume a584 (forall ((V_t $$unsorted) (V_s $$unsorted) (V_j $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_Osubst V_t V_s V_j) V_i) (tptp.c_Lambda_Osubst (tptp.c_Lambda_Olift V_t (tptp.c_HOL_Oplus__class_Oplus V_i (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_Lambda_Olift V_s V_i) V_j)) (not (tptp.c_HOL_Oord__class_Oless V_j (tptp.c_HOL_Oplus__class_Oplus V_i (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) tptp.tc_nat)))))
% 3.42/3.60  (assume a585 (forall ((V_r $$unsorted) (V_i $$unsorted) (V_s $$unsorted)) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_Olift V_r V_i) (tptp.c_Lambda_Olift V_s V_i)) (not (tptp.c_Lambda_Obeta V_r V_s)))))
% 3.42/3.60  (assume a586 (forall ((V_i $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar V_i) V_k) (tptp.c_Lambda_OdB_OVar V_i)) (not (tptp.c_HOL_Oord__class_Oless V_i V_k tptp.tc_nat)))))
% 3.42/3.60  (assume a587 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless V_x (tptp.c_HOL_Oone__class_Oone T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) T_a)))))
% 3.42/3.60  (assume a588 (forall ((V_n $$unsorted) (V_i $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_Lambda_Oliftn V_n (tptp.c_Lambda_OdB_OVar V_i) V_k) (tptp.c_Lambda_OdB_OVar V_i)) (not (tptp.c_HOL_Oord__class_Oless V_i V_k tptp.tc_nat)))))
% 3.42/3.60  (assume a589 (forall ((V_i $$unsorted) (V_s $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_Lambda_Osubstn (tptp.c_Lambda_OdB_OVar V_i) V_s V_k) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Ominus__class_Ominus V_i (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless V_k V_i tptp.tc_nat)))))
% 3.42/3.60  (assume a590 (forall ((V_s $$unsorted) (V_u $$unsorted) (V_t $$unsorted)) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_OdB_OApp V_s V_u) (tptp.c_Lambda_OdB_OApp V_t V_u)) (not (tptp.c_Lambda_Obeta V_s V_t)))))
% 3.42/3.60  (assume a591 (forall ((V_u $$unsorted) (V_s $$unsorted) (V_t $$unsorted)) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_OdB_OApp V_u V_s) (tptp.c_Lambda_OdB_OApp V_u V_t)) (not (tptp.c_Lambda_Obeta V_s V_t)))))
% 3.42/3.60  (assume a592 (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))))
% 3.42/3.60  (assume a593 (forall ((V_t $$unsorted) (V_v $$unsorted) (V_i $$unsorted) (V_j $$unsorted) (V_u $$unsorted)) (or (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_Osubst V_t (tptp.c_Lambda_Olift V_v V_i) (tptp.c_Suc V_j)) (tptp.c_Lambda_Osubst V_u V_v V_j) V_i) (tptp.c_Lambda_Osubst (tptp.c_Lambda_Osubst V_t V_u V_i) V_v V_j)) (not (tptp.c_HOL_Oord__class_Oless V_i (tptp.c_HOL_Oplus__class_Oplus V_j (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) tptp.tc_nat)))))
% 3.42/3.60  (assume a594 (forall ((V_t $$unsorted) (V_s $$unsorted) (V_k $$unsorted)) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs V_t) V_s V_k) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst V_t (tptp.c_Lambda_Olift V_s (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus V_k (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))
% 3.42/3.60  (assume a595 (forall ((V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_a V_c tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_b V_c tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_c V_a tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b tptp.tc_nat)))))
% 3.42/3.60  (assume a596 (forall ((V_i $$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))))
% 3.42/3.60  (assume a597 (forall ((V_t $$unsorted) (V_s $$unsorted) (V_j $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_Osubst V_t V_s V_j) V_i) (tptp.c_Lambda_Osubst (tptp.c_Lambda_Olift V_t V_i) (tptp.c_Lambda_Olift V_s V_i) (tptp.c_HOL_Oplus__class_Oplus V_j (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless V_i (tptp.c_HOL_Oplus__class_Oplus V_j (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) tptp.tc_nat)))))
% 3.42/3.60  (assume a598 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))))
% 3.42/3.60  (assume a599 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (= V_x_H V_y_H))))
% 3.42/3.60  (assume a600 (forall ((T_a $$unsorted) (V_xa $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_xa V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a))) (= V_xa V_y))))
% 3.42/3.60  (assume a601 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a602 (forall ((V_i $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar V_i) V_k) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus V_i (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless V_i V_k tptp.tc_nat))))
% 3.42/3.60  (assume a603 (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)))))
% 3.42/3.60  (assume a604 (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)))))
% 3.42/3.60  (assume a605 (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)))
% 3.42/3.60  (assume a606 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_N $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower V_a V_N T_a) (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Oone__class_Oone T_a) 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_n V_N tptp.tc_nat)))))
% 3.42/3.60  (assume a607 (forall ((V_n $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc V_n) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) V_n)))
% 3.42/3.60  (assume a608 (forall ((V_s $$unsorted) (V_t $$unsorted) (V_k $$unsorted)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OApp V_s V_t) V_k) (tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Olift V_s V_k) (tptp.c_Lambda_Olift V_t V_k)))))
% 3.42/3.60  (assume a609 (forall ((V_l $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_l V_n tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_l V_m tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_m V_l tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)))))
% 3.42/3.60  (assume a610 (forall ((V_i $$unsorted) (V_s $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_Lambda_Osubstn (tptp.c_Lambda_OdB_OVar V_i) V_s V_k) (tptp.c_Lambda_OdB_OVar V_i)) (= V_i V_k) (tptp.c_HOL_Oord__class_Oless V_k V_i tptp.tc_nat))))
% 3.42/3.60  (assume a611 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 3.42/3.60  (assume a612 (forall ((V_j $$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)))))
% 3.42/3.60  (assume a613 (forall ((V_x $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x tptp.tc_nat))))
% 3.42/3.60  (assume a614 (forall ((V_n $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_n V_n tptp.tc_nat))))
% 3.42/3.60  (assume a615 (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)))))
% 3.42/3.60  (assume a616 (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)))))
% 3.42/3.60  (assume a617 (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)))))
% 3.42/3.60  (assume a618 (forall ((V_s $$unsorted) (V_t $$unsorted)) (tptp.c_Lambda_Obeta (tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OAbs V_s) V_t) (tptp.c_Lambda_Osubst V_s V_t (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 3.42/3.60  (assume a619 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (= V_x V_y))))
% 3.42/3.60  (assume a620 (forall ((T_a $$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))))
% 3.42/3.60  (assume a621 (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))))
% 3.42/3.60  (assume a622 (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))))
% 3.42/3.60  (assume a623 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (= V_x V_y))))
% 3.42/3.60  (assume a624 (forall ((T_a $$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))))
% 3.42/3.60  (assume a625 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= V_x V_y) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a))))
% 3.42/3.60  (assume a626 (forall ((V_n $$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)))))
% 3.42/3.60  (assume a627 (forall ((V_n $$unsorted)) (or (= V_n (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 3.42/3.60  (assume a628 (forall ((V_dB1 $$unsorted) (V_dB2 $$unsorted) (V_dB1_H $$unsorted) (V_dB2_H $$unsorted)) (or (not (= (tptp.c_Lambda_OdB_OApp V_dB1 V_dB2) (tptp.c_Lambda_OdB_OApp V_dB1_H V_dB2_H))) (= V_dB2 V_dB2_H))))
% 3.42/3.60  (assume a629 (forall ((V_dB1 $$unsorted) (V_dB2 $$unsorted) (V_dB1_H $$unsorted) (V_dB2_H $$unsorted)) (or (not (= (tptp.c_Lambda_OdB_OApp V_dB1 V_dB2) (tptp.c_Lambda_OdB_OApp V_dB1_H V_dB2_H))) (= V_dB1 V_dB1_H))))
% 3.42/3.60  (assume a630 (forall ((V_i $$unsorted) (V_j $$unsorted)) (or (= (tptp.c_List_Olast (tptp.c_List_Oupt V_i V_j) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_j (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless V_i V_j tptp.tc_nat)))))
% 3.42/3.60  (assume a631 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a632 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 3.42/3.60  (assume a633 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a634 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Nat_Osemiring__1__class_Oof__nat V_m T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a) T_a)))))
% 3.42/3.60  (assume a635 (forall ((T_a $$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))))
% 3.42/3.60  (assume a636 (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))))
% 3.42/3.60  (assume a637 (forall ((V_r $$unsorted) (V_s $$unsorted)) (or (tptp.c_Lambda_Obeta V_r (tptp.c_Lambda_Osko__Lambda__Xbeta__cases__2__1 V_r V_s)) (not (tptp.c_Lambda_Obeta (tptp.c_Lambda_OdB_OAbs V_r) V_s)))))
% 3.42/3.60  (assume a638 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (= (tptp.c_Power_Opower__class_Opower V_a V_m T_a) (tptp.c_Power_Opower__class_Opower V_a V_n T_a))) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)) (= V_m V_n))))
% 3.42/3.60  (assume a639 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus V_m V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_k tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_lessequals V_k V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_m tptp.tc_nat)))))
% 3.42/3.60  (assume a640 (forall ((V_m $$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)))))
% 3.42/3.60  (assume a641 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower V_b V_x T_a) (tptp.c_Power_Opower__class_Opower V_b V_y T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a)))))
% 3.42/3.60  (assume a642 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower V_b V_x T_a) (tptp.c_Power_Opower__class_Opower V_b V_y T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_b T_a)))))
% 3.42/3.60  (assume a643 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted) (V_N $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower V_a V_n T_a) (tptp.c_Power_Opower__class_Opower V_a V_N T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_n V_N tptp.tc_nat)))))
% 3.42/3.60  (assume a644 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted) (V_a $$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_Power_Opower__class_Opower V_a V_m T_a) (tptp.c_Power_Opower__class_Opower V_a V_n T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_a T_a)))))
% 3.42/3.60  (assume a645 (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))))
% 3.42/3.60  (assume a646 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus V_i V_k tptp.tc_nat) V_j tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless V_i (tptp.c_HOL_Ominus__class_Ominus V_j V_k tptp.tc_nat) tptp.tc_nat)))))
% 3.42/3.60  (assume a647 (forall ((V_i $$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)))))
% 3.42/3.60  (assume a648 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Oinverse V_x T_a) (tptp.c_HOL_Oone__class_Oone T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oone__class_Oone T_a) V_x T_a)))))
% 3.42/3.60  (assume a649 (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)))))
% 3.42/3.60  (assume a650 (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)))))
% 3.42/3.60  (assume a651 (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)))))
% 3.42/3.60  (assume a652 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (tptp.c_HOL_Oord__class_Oless V_x_H V_y_H T_a) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))))
% 3.42/3.60  (assume a653 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a654 (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))))
% 3.42/3.60  (assume a655 (forall ((V_s $$unsorted) (V_k $$unsorted)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OAbs V_s) V_k) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Olift V_s (tptp.c_HOL_Oplus__class_Oplus V_k (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))
% 3.42/3.60  (assume a656 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)))))
% 3.42/3.60  (assume a657 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a658 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))))
% 3.42/3.60  (assume a659 (forall ((T_a $$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)))))
% 3.42/3.60  (assume a660 (forall ((V_t $$unsorted) (V_u $$unsorted) (V_s $$unsorted) (V_k $$unsorted)) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OApp V_t V_u) V_s V_k) (tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst V_t V_s V_k) (tptp.c_Lambda_Osubst V_u V_s V_k)))))
% 3.42/3.60  (assume a661 (forall ((V_dB_H $$unsorted) (V_nat $$unsorted)) (not (= (tptp.c_Lambda_OdB_OAbs V_dB_H) (tptp.c_Lambda_OdB_OVar V_nat)))))
% 3.42/3.60  (assume a662 (forall ((V_dB1 $$unsorted) (V_dB2 $$unsorted) (V_dB_H $$unsorted)) (not (= (tptp.c_Lambda_OdB_OApp V_dB1 V_dB2) (tptp.c_Lambda_OdB_OAbs V_dB_H)))))
% 3.42/3.60  (assume a663 (forall ((V_nat $$unsorted) (V_nat_H $$unsorted)) (or (not (= (tptp.c_Lambda_OdB_OVar V_nat) (tptp.c_Lambda_OdB_OVar V_nat_H))) (= V_nat V_nat_H))))
% 3.42/3.60  (assume a664 (forall ((V_dB_H $$unsorted) (V_dB1 $$unsorted) (V_dB2 $$unsorted)) (not (= (tptp.c_Lambda_OdB_OAbs V_dB_H) (tptp.c_Lambda_OdB_OApp V_dB1 V_dB2)))))
% 3.42/3.60  (assume a665 (forall ((V_k $$unsorted) (V_u $$unsorted)) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar V_k) V_u V_k) V_u)))
% 3.42/3.60  (assume a666 (forall ((V_j $$unsorted) (V_u $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar V_j) V_u V_i) (tptp.c_Lambda_OdB_OVar V_j)) (not (tptp.c_HOL_Oord__class_Oless V_j V_i tptp.tc_nat)))))
% 3.42/3.60  (assume a667 (forall ((V_i $$unsorted) (V_s $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar V_i) V_s V_k) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Ominus__class_Ominus V_i (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless V_k V_i tptp.tc_nat)))))
% 3.42/3.60  (assume a668 (forall ((V_j $$unsorted) (V_u $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar V_j) V_u V_i) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Ominus__class_Ominus V_j (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless V_i V_j tptp.tc_nat)))))
% 3.42/3.60  (assume a669 (forall ((V_i $$unsorted) (V_t $$unsorted)) (not (tptp.c_Lambda_Obeta (tptp.c_Lambda_OdB_OVar V_i) V_t))))
% 3.42/3.60  (assume a670 (forall ((V_nat $$unsorted) (V_dB1_H $$unsorted) (V_dB2_H $$unsorted)) (not (= (tptp.c_Lambda_OdB_OVar V_nat) (tptp.c_Lambda_OdB_OApp V_dB1_H V_dB2_H)))))
% 3.42/3.60  (assume a671 (forall ((V_dB $$unsorted) (V_dB_H $$unsorted)) (or (not (= (tptp.c_Lambda_OdB_OAbs V_dB) (tptp.c_Lambda_OdB_OAbs V_dB_H))) (= V_dB V_dB_H))))
% 3.42/3.60  (assume a672 (forall ((V_t $$unsorted) (V_i $$unsorted)) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Olift V_t V_i)) (not (tptp.c_InductTermi_OIT V_t)))))
% 3.42/3.60  (assume a673 (forall ((V_nat $$unsorted) (V_dB_H $$unsorted)) (not (= (tptp.c_Lambda_OdB_OVar V_nat) (tptp.c_Lambda_OdB_OAbs V_dB_H)))))
% 3.42/3.60  (assume a674 (forall ((V_r $$unsorted) (V_t $$unsorted) (V_i $$unsorted) (V_s $$unsorted)) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_Osubst V_r V_t V_i) (tptp.c_Lambda_Osubst V_s V_t V_i)) (not (tptp.c_Lambda_Obeta V_r V_s)))))
% 3.42/3.60  (assume a675 (forall ((V_i $$unsorted) (V_s $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar V_i) V_s V_k) (tptp.c_Lambda_OdB_OVar V_i)) (= V_i V_k) (tptp.c_HOL_Oord__class_Oless V_k V_i tptp.tc_nat))))
% 3.42/3.60  (assume a676 (forall ((V_x $$unsorted) (V_s $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_x V_x tptp.tc_nat) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar V_x) V_s V_x) V_s))))
% 3.42/3.60  (assume a677 (forall ((V_r $$unsorted)) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs V_r)) (not (tptp.c_InductTermi_OIT V_r)))))
% 3.42/3.60  (assume a678 (forall ((V_t $$unsorted) (V_k $$unsorted) (V_s $$unsorted)) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_Olift V_t V_k) V_s V_k) V_t)))
% 3.42/3.60  (assume a679 (forall ((V_s $$unsorted) (V_t $$unsorted)) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_OdB_OAbs V_s) (tptp.c_Lambda_OdB_OAbs V_t)) (not (tptp.c_Lambda_Obeta V_s V_t)))))
% 3.42/3.60  (assume a680 (forall ((V_dB1_H $$unsorted) (V_dB2_H $$unsorted) (V_nat $$unsorted)) (not (= (tptp.c_Lambda_OdB_OApp V_dB1_H V_dB2_H) (tptp.c_Lambda_OdB_OVar V_nat)))))
% 3.42/3.60  (assume a681 (tptp.c_InductTermi_OIT tptp.v_ra))
% 3.42/3.60  (assume a682 (forall ((V_i $$unsorted) (V_j $$unsorted)) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar V_i) V_j))))
% 3.42/3.60  (assume a683 (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))))
% 3.42/3.60  (assume a684 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat))
% 3.42/3.60  (assume a685 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat))
% 3.42/3.60  (assume a686 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_nat))
% 3.42/3.60  (assume a687 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_nat))
% 3.42/3.60  (assume a688 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_nat))
% 3.42/3.60  (assume a689 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat))
% 3.42/3.60  (assume a690 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat))
% 3.42/3.60  (assume a691 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat))
% 3.42/3.60  (assume a692 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat))
% 3.42/3.60  (assume a693 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_nat))
% 3.42/3.60  (assume a694 (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_nat))
% 3.42/3.60  (assume a695 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat))
% 3.42/3.60  (assume a696 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat))
% 3.42/3.60  (assume a697 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat))
% 3.42/3.60  (assume a698 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat))
% 3.42/3.60  (assume a699 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_nat))
% 3.42/3.60  (assume a700 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat))
% 3.42/3.60  (assume a701 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_nat))
% 3.42/3.60  (assume a702 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat))
% 3.42/3.60  (assume a703 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat))
% 3.42/3.60  (assume a704 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat))
% 3.42/3.60  (assume a705 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat))
% 3.42/3.60  (assume a706 (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_nat))
% 3.42/3.60  (assume a707 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat))
% 3.42/3.60  (assume a708 (tptp.class_Ring__and__Field_Omult__mono tptp.tc_nat))
% 3.42/3.60  (assume a709 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_nat))
% 3.42/3.60  (assume a710 (tptp.class_Ring__and__Field_Osemiring tptp.tc_nat))
% 3.42/3.60  (assume a711 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat))
% 3.42/3.60  (assume a712 (tptp.class_Divides_Osemiring__div tptp.tc_nat))
% 3.42/3.60  (assume a713 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat))
% 3.42/3.60  (assume a714 (tptp.class_Orderings_Opreorder tptp.tc_nat))
% 3.42/3.60  (assume a715 (tptp.class_Orderings_Olinorder tptp.tc_nat))
% 3.42/3.60  (assume a716 (tptp.class_Orderings_Oorder tptp.tc_nat))
% 3.42/3.60  (assume a717 (tptp.class_Power_Opower tptp.tc_nat))
% 3.42/3.60  (step t1 (cl (not (= (or (not (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (not (= (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))) (not (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))) (not (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (or (not (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (not (= (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))) (not (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))) (not (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) (not (or (not (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (not (= (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))) (not (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))) (not (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (or (not (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (not (= (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))) (not (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))) (not (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule equiv_pos2)
% 3.42/3.60  (step t2 (cl (= (not (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (not (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))) :rule refl)
% 3.42/3.60  (step t3 (cl (= (not (= (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))) (not (= (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))))) :rule refl)
% 3.42/3.60  (step t4 (cl (= (not (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))) (not (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))))) :rule refl)
% 3.42/3.60  (step t5 (cl (= (not (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule refl)
% 3.42/3.60  (step t6 (cl (= (= (= (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) true) (= (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule equiv_simplify)
% 3.42/3.60  (step t7 (cl (not (= (= (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) true)) (= (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) :rule equiv1 :premises (t6))
% 3.42/3.60  (step t8 (cl (= (= (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (= (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))))) :rule all_simplify)
% 3.42/3.60  (step t9 (cl (= (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) :rule refl)
% 3.42/3.60  (step t10 (cl (= (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) :rule all_simplify)
% 3.42/3.60  (step t11 (cl (= (= (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (= (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule cong :premises (t9 t10))
% 3.42/3.60  (step t12 (cl (= (= (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) true)) :rule all_simplify)
% 3.42/3.60  (step t13 (cl (= (= (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) true)) :rule trans :premises (t11 t12))
% 3.42/3.60  (step t14 (cl (= (= (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) true)) :rule trans :premises (t8 t13))
% 3.42/3.60  (step t15 (cl (= (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) :rule resolution :premises (t7 t14))
% 3.42/3.60  (step t16 (cl (= (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule refl)
% 3.42/3.60  (step t17 (cl (= (or (not (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (not (= (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))) (not (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))) (not (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (or (not (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (not (= (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))) (not (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))) (not (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) :rule cong :premises (t2 t3 t4 t5 t15 t16))
% 3.42/3.60  (step t18 (cl (not (= (=> (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (not (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) (not (=> (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) (not (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule equiv_pos2)
% 3.42/3.60  (step t19 (cl (= (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule refl)
% 3.42/3.60  (step t20 (cl (= (= (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) false) (not (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))))) :rule equiv_simplify)
% 3.42/3.60  (step t21 (cl (= (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) false) (not (not (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))))) :rule equiv2 :premises (t20))
% 3.42/3.60  (step t22 (cl (not (not (not (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))))) (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule not_not)
% 3.42/3.60  (step t23 (cl (= (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) false) (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule resolution :premises (t21 t22))
% 3.42/3.60  (step t24 (cl (=> (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) false) (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule implies_neg1)
% 3.42/3.60  (anchor :step t25)
% 3.42/3.60  (assume t25.a0 (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))
% 3.42/3.60  (assume t25.a1 (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))
% 3.42/3.60  (assume t25.a2 (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 3.42/3.60  (assume t25.a3 (= (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)))
% 3.42/3.60  (assume t25.a4 (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)))
% 3.42/3.60  (assume t25.a5 (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))
% 3.42/3.60  (step t25.t1 (cl (not (= (= false true) false)) (not (= false true)) false) :rule equiv_pos2)
% 3.42/3.60  (step t25.t2 (cl (= (= false true) false)) :rule all_simplify)
% 3.42/3.60  (step t25.t3 (cl (= (= (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) false) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule equiv_simplify)
% 3.42/3.60  (step t25.t4 (cl (= (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) false) (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule equiv2 :premises (t25.t3))
% 3.42/3.60  (step t25.t5 (cl (not (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) :rule not_not)
% 3.42/3.60  (step t25.t6 (cl (= (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) false) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) :rule resolution :premises (t25.t4 t25.t5))
% 3.42/3.60  (step t25.t7 (cl (= (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) false)) :rule resolution :premises (t25.t6 t25.a5))
% 3.42/3.60  (step t25.t8 (cl (= false (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) :rule symm :premises (t25.t7))
% 3.42/3.60  (step t25.t9 (cl (= tptp.v_ra tptp.v_ra)) :rule refl)
% 3.42/3.60  (step t25.t10 (cl (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) :rule refl)
% 3.42/3.60  (step t25.t11 (cl (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) :rule refl)
% 3.42/3.60  (step t25.t12 (cl (= tptp.tc_nat tptp.tc_nat)) :rule refl)
% 3.42/3.60  (step t25.t13 (cl (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))) :rule cong :premises (t25.t11 t25.a2 t25.t12))
% 3.42/3.60  (step t25.t14 (cl (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat))) :rule symm :premises (t25.a4))
% 3.42/3.60  (step t25.t15 (cl (= tptp.v_ja tptp.v_ja)) :rule refl)
% 3.42/3.60  (step t25.t16 (cl (= (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)))) :rule symm :premises (t25.a3))
% 3.42/3.60  (step t25.t17 (cl (= (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat))) :rule symm :premises (t25.a2))
% 3.42/3.60  (step t25.t18 (cl (= (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_HOL_Oone__class_Oone tptp.tc_nat))) :rule trans :premises (t25.t16 t25.t17))
% 3.42/3.60  (step t25.t19 (cl (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) :rule cong :premises (t25.t15 t25.t18 t25.t12))
% 3.42/3.60  (step t25.t20 (cl (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) :rule trans :premises (t25.t13 t25.t14 t25.t19))
% 3.42/3.60  (step t25.t21 (cl (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) :rule symm :premises (t25.t20))
% 3.42/3.60  (step t25.t22 (cl (= (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) :rule cong :premises (t25.t9 t25.t10 t25.t21))
% 3.42/3.60  (step t25.t23 (cl (= (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) :rule symm :premises (t25.a1))
% 3.42/3.60  (step t25.t24 (cl (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) :rule symm :premises (t25.t23))
% 3.42/3.60  (step t25.t25 (cl (= (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) :rule cong :premises (t25.t9 t25.t24 t25.t20))
% 3.42/3.60  (step t25.t26 (cl (= (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) :rule trans :premises (t25.t22 t25.t25))
% 3.42/3.60  (step t25.t27 (cl (= (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) :rule cong :premises (t25.t26))
% 3.42/3.60  (step t25.t28 (cl (= (= (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) true) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) :rule equiv_simplify)
% 3.42/3.60  (step t25.t29 (cl (= (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) true) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) :rule equiv2 :premises (t25.t28))
% 3.42/3.60  (step t25.t30 (cl (= (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) true)) :rule resolution :premises (t25.t29 t25.a0))
% 3.42/3.60  (step t25.t31 (cl (= false true)) :rule trans :premises (t25.t8 t25.t27 t25.t30))
% 3.42/3.60  (step t25.t32 (cl false) :rule resolution :premises (t25.t1 t25.t2 t25.t31))
% 3.42/3.60  (step t25 (cl (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (not (= (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))) (not (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))) (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) false) :rule subproof :discharge (t25.a0 t25.a1 t25.a2 t25.a3 t25.a4 t25.a5))
% 3.42/3.60  (step t26 (cl (not (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) :rule and_pos)
% 3.42/3.60  (step t27 (cl (not (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) :rule and_pos)
% 3.42/3.60  (step t28 (cl (not (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) :rule and_pos)
% 3.42/3.60  (step t29 (cl (not (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (= (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))) :rule and_pos)
% 3.42/3.60  (step t30 (cl (not (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))) :rule and_pos)
% 3.42/3.60  (step t31 (cl (not (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) :rule and_pos)
% 3.42/3.60  (step t32 (cl false (not (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (not (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (not (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (not (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (not (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (not (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) :rule resolution :premises (t25 t26 t27 t28 t29 t30 t31))
% 3.42/3.60  (step t33 (cl (not (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (not (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (not (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (not (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (not (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (not (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) false) :rule reordering :premises (t32))
% 3.42/3.60  (step t34 (cl (not (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) false) :rule contraction :premises (t33))
% 3.42/3.60  (step t35 (cl (=> (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) false) false) :rule resolution :premises (t24 t34))
% 3.42/3.60  (step t36 (cl (=> (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) false) (not false)) :rule implies_neg2)
% 3.42/3.60  (step t37 (cl (=> (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) false) (=> (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) false)) :rule resolution :premises (t35 t36))
% 3.42/3.60  (step t38 (cl (=> (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) false)) :rule contraction :premises (t37))
% 3.42/3.60  (step t39 (cl (= (=> (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) false) (not (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))))) :rule implies_simplify)
% 3.42/3.60  (step t40 (cl (not (=> (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) false)) (not (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) :rule equiv1 :premises (t39))
% 3.42/3.60  (step t41 (cl (not (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) :rule resolution :premises (t38 t40))
% 3.42/3.60  (step t42 (cl (= (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) false)) :rule resolution :premises (t23 t41))
% 3.42/3.60  (step t43 (cl (= (=> (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (=> (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) false))) :rule cong :premises (t19 t42))
% 3.42/3.60  (step t44 (cl (= (=> (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) false) (not (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) :rule all_simplify)
% 3.42/3.60  (step t45 (cl (= (=> (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (not (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) :rule trans :premises (t43 t44))
% 3.42/3.60  (step t46 (cl (=> (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) :rule implies_neg1)
% 3.42/3.60  (anchor :step t47)
% 3.42/3.60  (assume t47.a0 (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 3.42/3.60  (assume t47.a1 (= (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)))
% 3.42/3.60  (assume t47.a2 (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)))
% 3.42/3.60  (assume t47.a3 (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))
% 3.42/3.60  (assume t47.a4 (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))
% 3.42/3.60  (assume t47.a5 (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))
% 3.42/3.60  (step t47.t1 (cl (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (not (= (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))) (not (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))) (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule and_neg)
% 3.42/3.60  (step t47.t2 (cl (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule resolution :premises (t47.t1 t47.a5 t47.a3 t47.a0 t47.a1 t47.a2 t47.a4))
% 3.42/3.60  (step t47 (cl (not (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (not (= (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))) (not (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))) (not (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule subproof :discharge (t47.a0 t47.a1 t47.a2 t47.a3 t47.a4 t47.a5))
% 3.42/3.60  (step t48 (cl (not (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) :rule and_pos)
% 3.42/3.60  (step t49 (cl (not (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (= (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))) :rule and_pos)
% 3.42/3.60  (step t50 (cl (not (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))) :rule and_pos)
% 3.42/3.60  (step t51 (cl (not (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) :rule and_pos)
% 3.42/3.60  (step t52 (cl (not (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) :rule and_pos)
% 3.42/3.60  (step t53 (cl (not (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) :rule and_pos)
% 3.42/3.60  (step t54 (cl (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule resolution :premises (t47 t48 t49 t50 t51 t52 t53))
% 3.42/3.60  (step t55 (cl (not (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule reordering :premises (t54))
% 3.42/3.60  (step t56 (cl (not (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule contraction :premises (t55))
% 3.42/3.60  (step t57 (cl (=> (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule resolution :premises (t46 t56))
% 3.42/3.60  (step t58 (cl (=> (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (not (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) :rule implies_neg2)
% 3.42/3.60  (step t59 (cl (=> (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (=> (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) :rule resolution :premises (t57 t58))
% 3.42/3.60  (step t60 (cl (=> (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (and (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) :rule contraction :premises (t59))
% 3.42/3.60  (step t61 (cl (not (and (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (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.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_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule resolution :premises (t18 t45 t60))
% 3.42/3.60  (step t62 (cl (not (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (not (= (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))) (not (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))) (not (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) :rule not_and :premises (t61))
% 3.42/3.60  (step t63 (cl (or (not (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (not (= (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))) (not (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))) (not (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (not (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))) :rule or_neg)
% 3.42/3.60  (step t64 (cl (or (not (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (not (= (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))) (not (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))) (not (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (not (= (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))))) :rule or_neg)
% 3.42/3.60  (step t65 (cl (or (not (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (not (= (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))) (not (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))) (not (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (not (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))))) :rule or_neg)
% 3.42/3.60  (step t66 (cl (or (not (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (not (= (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))) (not (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))) (not (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (not (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule or_neg)
% 3.42/3.60  (step t67 (cl (or (not (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (not (= (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))) (not (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))) (not (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) :rule or_neg)
% 3.42/3.60  (step t68 (cl (or (not (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (not (= (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))) (not (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))) (not (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule or_neg)
% 3.42/3.60  (step t69 (cl (or (not (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (not (= (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))) (not (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))) (not (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (or (not (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (not (= (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))) (not (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))) (not (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (or (not (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (not (= (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))) (not (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))) (not (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (or (not (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (not (= (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))) (not (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))) (not (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (or (not (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (not (= (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))) (not (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))) (not (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (or (not (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (not (= (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))) (not (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))) (not (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule resolution :premises (t62 t63 t64 t65 t66 t67 t68))
% 3.42/3.60  (step t70 (cl (or (not (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (not (= (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))) (not (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))) (not (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule contraction :premises (t69))
% 3.42/3.60  (step t71 (cl (or (not (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (not (= (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))) (not (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))) (not (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule resolution :premises (t1 t17 t70))
% 3.42/3.60  (step t72 (cl (not (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (not (= (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))) (not (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))) (not (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) :rule or :premises (t71))
% 3.42/3.60  (step t73 (cl (not (= (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))) (not (= (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))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))) (not (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) :rule reordering :premises (t72))
% 3.42/3.60  (step t74 (cl (=> (forall ((V_i $$unsorted) (V_j $$unsorted)) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar V_i) V_j))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (forall ((V_i $$unsorted) (V_j $$unsorted)) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar V_i) V_j)))) :rule implies_neg1)
% 3.42/3.60  (anchor :step t75)
% 3.42/3.60  (assume t75.a0 (forall ((V_i $$unsorted) (V_j $$unsorted)) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar V_i) V_j))))
% 3.42/3.60  (step t75.t1 (cl (or (not (forall ((V_i $$unsorted) (V_j $$unsorted)) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar V_i) V_j)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) :rule forall_inst :args ((:= V_i (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (:= V_j (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))
% 3.42/3.60  (step t75.t2 (cl (not (forall ((V_i $$unsorted) (V_j $$unsorted)) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar V_i) V_j)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) :rule or :premises (t75.t1))
% 3.42/3.60  (step t75.t3 (cl (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) :rule resolution :premises (t75.t2 t75.a0))
% 3.42/3.60  (step t75 (cl (not (forall ((V_i $$unsorted) (V_j $$unsorted)) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar V_i) V_j)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) :rule subproof :discharge (t75.a0))
% 3.42/3.60  (step t76 (cl (=> (forall ((V_i $$unsorted) (V_j $$unsorted)) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar V_i) V_j))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) :rule resolution :premises (t74 t75))
% 3.42/3.60  (step t77 (cl (=> (forall ((V_i $$unsorted) (V_j $$unsorted)) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar V_i) V_j))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) :rule implies_neg2)
% 3.42/3.60  (step t78 (cl (=> (forall ((V_i $$unsorted) (V_j $$unsorted)) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar V_i) V_j))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (=> (forall ((V_i $$unsorted) (V_j $$unsorted)) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar V_i) V_j))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) :rule resolution :premises (t76 t77))
% 3.42/3.60  (step t79 (cl (=> (forall ((V_i $$unsorted) (V_j $$unsorted)) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar V_i) V_j))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) :rule contraction :premises (t78))
% 3.42/3.60  (step t80 (cl (not (forall ((V_i $$unsorted) (V_j $$unsorted)) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar V_i) V_j)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) :rule implies :premises (t79))
% 3.42/3.60  (step t81 (cl (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) :rule resolution :premises (t80 a682))
% 3.42/3.60  (step t82 (cl (not (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless tptp.v_ia (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless tptp.v_ia (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)) :rule or_pos)
% 3.42/3.60  (step t83 (cl (tptp.c_HOL_Oord__class_Oless tptp.v_ia (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (not (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless tptp.v_ia (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))) :rule reordering :premises (t82))
% 3.42/3.60  (step t84 (cl (=> (forall ((V_m $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless tptp.v_ia (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (forall ((V_m $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))) :rule implies_neg1)
% 3.42/3.60  (anchor :step t85)
% 3.42/3.60  (assume t85.a0 (forall ((V_m $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))))
% 3.42/3.60  (step t85.t1 (cl (or (not (forall ((V_m $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))) (not (tptp.c_HOL_Oord__class_Oless tptp.v_ia (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))) :rule forall_inst :args ((:= V_m tptp.v_ia)))
% 3.42/3.60  (step t85.t2 (cl (not (forall ((V_m $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))) (not (tptp.c_HOL_Oord__class_Oless tptp.v_ia (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) :rule or :premises (t85.t1))
% 3.42/3.60  (step t85.t3 (cl (not (tptp.c_HOL_Oord__class_Oless tptp.v_ia (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) :rule resolution :premises (t85.t2 t85.a0))
% 3.42/3.60  (step t85 (cl (not (forall ((V_m $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))) (not (tptp.c_HOL_Oord__class_Oless tptp.v_ia (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) :rule subproof :discharge (t85.a0))
% 3.42/3.60  (step t86 (cl (=> (forall ((V_m $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless tptp.v_ia (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless tptp.v_ia (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) :rule resolution :premises (t84 t85))
% 3.42/3.60  (step t87 (cl (=> (forall ((V_m $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless tptp.v_ia (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (not (tptp.c_HOL_Oord__class_Oless tptp.v_ia (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))) :rule implies_neg2)
% 3.42/3.60  (step t88 (cl (=> (forall ((V_m $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless tptp.v_ia (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (=> (forall ((V_m $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless tptp.v_ia (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))) :rule resolution :premises (t86 t87))
% 3.42/3.60  (step t89 (cl (=> (forall ((V_m $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (tptp.c_HOL_Oord__class_Oless tptp.v_ia (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))) :rule contraction :premises (t88))
% 3.42/3.60  (step t90 (cl (not (forall ((V_m $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))) (not (tptp.c_HOL_Oord__class_Oless tptp.v_ia (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) :rule implies :premises (t89))
% 3.42/3.60  (step t91 (cl (not (tptp.c_HOL_Oord__class_Oless tptp.v_ia (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) :rule resolution :premises (t90 a296))
% 3.42/3.60  (step t92 (cl (=> (forall ((V_i $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar V_i) V_k) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus V_i (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless V_i V_k tptp.tc_nat))) (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless tptp.v_ia (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (forall ((V_i $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar V_i) V_k) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus V_i (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless V_i V_k tptp.tc_nat)))) :rule implies_neg1)
% 3.42/3.60  (anchor :step t93)
% 3.42/3.60  (assume t93.a0 (forall ((V_i $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar V_i) V_k) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus V_i (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless V_i V_k tptp.tc_nat))))
% 3.42/3.60  (step t93.t1 (cl (or (not (forall ((V_i $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar V_i) V_k) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus V_i (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless V_i V_k tptp.tc_nat)))) (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless tptp.v_ia (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))) :rule forall_inst :args ((:= V_i tptp.v_ia) (:= V_k (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))
% 3.42/3.60  (step t93.t2 (cl (not (forall ((V_i $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar V_i) V_k) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus V_i (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless V_i V_k tptp.tc_nat)))) (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless tptp.v_ia (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) :rule or :premises (t93.t1))
% 3.42/3.60  (step t93.t3 (cl (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless tptp.v_ia (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) :rule resolution :premises (t93.t2 t93.a0))
% 3.42/3.60  (step t93 (cl (not (forall ((V_i $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar V_i) V_k) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus V_i (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless V_i V_k tptp.tc_nat)))) (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless tptp.v_ia (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) :rule subproof :discharge (t93.a0))
% 3.42/3.60  (step t94 (cl (=> (forall ((V_i $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar V_i) V_k) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus V_i (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless V_i V_k tptp.tc_nat))) (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless tptp.v_ia (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless tptp.v_ia (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) :rule resolution :premises (t92 t93))
% 3.42/3.60  (step t95 (cl (=> (forall ((V_i $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar V_i) V_k) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus V_i (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless V_i V_k tptp.tc_nat))) (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless tptp.v_ia (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (not (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless tptp.v_ia (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))) :rule implies_neg2)
% 3.42/3.60  (step t96 (cl (=> (forall ((V_i $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar V_i) V_k) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus V_i (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless V_i V_k tptp.tc_nat))) (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless tptp.v_ia (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) (=> (forall ((V_i $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar V_i) V_k) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus V_i (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless V_i V_k tptp.tc_nat))) (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless tptp.v_ia (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))) :rule resolution :premises (t94 t95))
% 3.42/3.60  (step t97 (cl (=> (forall ((V_i $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar V_i) V_k) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus V_i (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless V_i V_k tptp.tc_nat))) (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless tptp.v_ia (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))) :rule contraction :premises (t96))
% 3.42/3.60  (step t98 (cl (not (forall ((V_i $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar V_i) V_k) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus V_i (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless V_i V_k tptp.tc_nat)))) (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless tptp.v_ia (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) :rule implies :premises (t97))
% 3.42/3.60  (step t99 (cl (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_HOL_Oord__class_Oless tptp.v_ia (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))) :rule resolution :premises (t98 a602))
% 3.42/3.60  (step t100 (cl (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) :rule resolution :premises (t83 t91 t99))
% 3.42/3.60  (step t101 (cl (not (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) :rule or_pos)
% 3.42/3.60  (step t102 (cl (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) :rule reordering :premises (t101))
% 3.42/3.60  (step t103 (cl (not (= (or (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)))) (not (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)) (not (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))))) (not (or (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)))) (not (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)) (not (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) :rule equiv_pos2)
% 3.42/3.60  (step t104 (cl (= (= (= (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) true) (= (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))))) :rule equiv_simplify)
% 3.42/3.60  (step t105 (cl (not (= (= (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) true)) (= (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)))) :rule equiv1 :premises (t104))
% 3.42/3.60  (step t106 (cl (= (= (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) (= (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)) (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))))))) :rule all_simplify)
% 3.42/3.60  (step t107 (cl (= (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)))) :rule refl)
% 3.42/3.60  (step t108 (cl (= (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)))) :rule all_simplify)
% 3.42/3.60  (step t109 (cl (= (= (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)) (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))))) (= (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))))) :rule cong :premises (t107 t108))
% 3.42/3.60  (step t110 (cl (= (= (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) true)) :rule all_simplify)
% 3.42/3.60  (step t111 (cl (= (= (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)) (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))))) true)) :rule trans :premises (t109 t110))
% 3.42/3.60  (step t112 (cl (= (= (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) true)) :rule trans :premises (t106 t111))
% 3.42/3.60  (step t113 (cl (= (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)))) :rule resolution :premises (t105 t112))
% 3.42/3.60  (step t114 (cl (= (not (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) :rule refl)
% 3.42/3.60  (step t115 (cl (= (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) :rule refl)
% 3.42/3.60  (step t116 (cl (= (or (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)))) (not (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)) (not (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))))) :rule cong :premises (t113 t114 t115))
% 3.42/3.60  (step t117 (cl (and (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)))) (not (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule and_neg)
% 3.42/3.60  (step t118 (cl (=> (and (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (and (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule implies_neg1)
% 3.42/3.60  (anchor :step t119)
% 3.42/3.60  (assume t119.a0 (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))))
% 3.42/3.60  (assume t119.a1 (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))
% 3.42/3.60  (step t119.t1 (cl (=> (and (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (and (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule implies_neg1)
% 3.42/3.60  (anchor :step t119.t2)
% 3.42/3.60  (assume t119.t2.a0 (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))))
% 3.42/3.60  (assume t119.t2.a1 (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))
% 3.42/3.60  (step t119.t2.t1 (cl (= (= (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) false) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) :rule equiv_simplify)
% 3.42/3.60  (step t119.t2.t2 (cl (not (= (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) false)) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule equiv1 :premises (t119.t2.t1))
% 3.42/3.60  (step t119.t2.t3 (cl (= (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))) (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) :rule symm :premises (t119.t2.a1))
% 3.42/3.60  (step t119.t2.t4 (cl (= (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)))) :rule cong :premises (t119.t2.t3))
% 3.42/3.60  (step t119.t2.t5 (cl (= (= (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)) false) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))))) :rule equiv_simplify)
% 3.42/3.60  (step t119.t2.t6 (cl (= (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)) false) (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))))) :rule equiv2 :premises (t119.t2.t5))
% 3.42/3.60  (step t119.t2.t7 (cl (not (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))))) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) :rule not_not)
% 3.42/3.60  (step t119.t2.t8 (cl (= (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)) false) (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) :rule resolution :premises (t119.t2.t6 t119.t2.t7))
% 3.42/3.60  (step t119.t2.t9 (cl (= (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)) false)) :rule resolution :premises (t119.t2.t8 t119.t2.a0))
% 3.42/3.60  (step t119.t2.t10 (cl (= (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) false)) :rule trans :premises (t119.t2.t4 t119.t2.t9))
% 3.42/3.60  (step t119.t2.t11 (cl (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule resolution :premises (t119.t2.t2 t119.t2.t10))
% 3.42/3.60  (step t119.t2 (cl (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)))) (not (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule subproof :discharge (t119.t2.a0 t119.t2.a1))
% 3.42/3.60  (step t119.t3 (cl (not (and (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)))) :rule and_pos)
% 3.42/3.60  (step t119.t4 (cl (not (and (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) :rule and_pos)
% 3.42/3.60  (step t119.t5 (cl (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (and (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (not (and (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) :rule resolution :premises (t119.t2 t119.t3 t119.t4))
% 3.42/3.60  (step t119.t6 (cl (not (and (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (not (and (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule reordering :premises (t119.t5))
% 3.42/3.60  (step t119.t7 (cl (not (and (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule contraction :premises (t119.t6))
% 3.42/3.60  (step t119.t8 (cl (=> (and (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule resolution :premises (t119.t1 t119.t7))
% 3.42/3.60  (step t119.t9 (cl (=> (and (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) :rule implies_neg2)
% 3.42/3.60  (step t119.t10 (cl (=> (and (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (=> (and (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) :rule resolution :premises (t119.t8 t119.t9))
% 3.42/3.60  (step t119.t11 (cl (=> (and (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) :rule contraction :premises (t119.t10))
% 3.42/3.60  (step t119.t12 (cl (not (and (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule implies :premises (t119.t11))
% 3.42/3.60  (step t119.t13 (cl (and (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)))) (not (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule and_neg)
% 3.42/3.60  (step t119.t14 (cl (and (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule resolution :premises (t119.t13 t119.a0 t119.a1))
% 3.42/3.60  (step t119.t15 (cl (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule resolution :premises (t119.t12 t119.t14))
% 3.42/3.60  (step t119 (cl (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)))) (not (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule subproof :discharge (t119.a0 t119.a1))
% 3.42/3.60  (step t120 (cl (not (and (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)))) :rule and_pos)
% 3.42/3.60  (step t121 (cl (not (and (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) :rule and_pos)
% 3.42/3.60  (step t122 (cl (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (and (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (not (and (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) :rule resolution :premises (t119 t120 t121))
% 3.42/3.60  (step t123 (cl (not (and (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (not (and (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule reordering :premises (t122))
% 3.42/3.60  (step t124 (cl (not (and (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule contraction :premises (t123))
% 3.42/3.60  (step t125 (cl (=> (and (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule resolution :premises (t118 t124))
% 3.42/3.60  (step t126 (cl (=> (and (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) :rule implies_neg2)
% 3.42/3.60  (step t127 (cl (=> (and (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (=> (and (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) :rule resolution :premises (t125 t126))
% 3.42/3.60  (step t128 (cl (=> (and (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) :rule contraction :premises (t127))
% 3.42/3.60  (step t129 (cl (not (and (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule implies :premises (t128))
% 3.42/3.60  (step t130 (cl (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)))) (not (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule resolution :premises (t117 t129))
% 3.42/3.60  (step t131 (cl (or (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)))) (not (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (not (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)))))) :rule or_neg)
% 3.42/3.60  (step t132 (cl (or (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)))) (not (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (not (not (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) :rule or_neg)
% 3.42/3.60  (step t133 (cl (or (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)))) (not (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) :rule or_neg)
% 3.42/3.60  (step t134 (cl (or (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)))) (not (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (or (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)))) (not (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (or (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)))) (not (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) :rule resolution :premises (t130 t131 t132 t133))
% 3.42/3.60  (step t135 (cl (or (not (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)))) (not (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) :rule contraction :premises (t134))
% 3.42/3.60  (step t136 (cl (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)) (not (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) :rule resolution :premises (t103 t116 t135))
% 3.42/3.60  (step t137 (cl (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja)) (not (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule or :premises (t136))
% 3.42/3.60  (step t138 (cl (=> (forall ((V_t $$unsorted) (V_s $$unsorted) (V_k $$unsorted)) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs V_t) V_s V_k) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst V_t (tptp.c_Lambda_Olift V_s (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus V_k (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (forall ((V_t $$unsorted) (V_s $$unsorted) (V_k $$unsorted)) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs V_t) V_s V_k) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst V_t (tptp.c_Lambda_Olift V_s (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus V_k (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule implies_neg1)
% 3.42/3.60  (anchor :step t139)
% 3.42/3.60  (assume t139.a0 (forall ((V_t $$unsorted) (V_s $$unsorted) (V_k $$unsorted)) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs V_t) V_s V_k) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst V_t (tptp.c_Lambda_Olift V_s (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus V_k (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))
% 3.42/3.60  (step t139.t1 (cl (or (not (forall ((V_t $$unsorted) (V_s $$unsorted) (V_k $$unsorted)) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs V_t) V_s V_k) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst V_t (tptp.c_Lambda_Olift V_s (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus V_k (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule forall_inst :args ((:= V_t tptp.v_ra) (:= V_s (tptp.c_Lambda_OdB_OVar tptp.v_ia)) (:= V_k tptp.v_ja)))
% 3.42/3.60  (step t139.t2 (cl (not (forall ((V_t $$unsorted) (V_s $$unsorted) (V_k $$unsorted)) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs V_t) V_s V_k) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst V_t (tptp.c_Lambda_Olift V_s (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus V_k (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) :rule or :premises (t139.t1))
% 3.42/3.60  (step t139.t3 (cl (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) :rule resolution :premises (t139.t2 t139.a0))
% 3.42/3.60  (step t139 (cl (not (forall ((V_t $$unsorted) (V_s $$unsorted) (V_k $$unsorted)) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs V_t) V_s V_k) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst V_t (tptp.c_Lambda_Olift V_s (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus V_k (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) :rule subproof :discharge (t139.a0))
% 3.42/3.60  (step t140 (cl (=> (forall ((V_t $$unsorted) (V_s $$unsorted) (V_k $$unsorted)) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs V_t) V_s V_k) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst V_t (tptp.c_Lambda_Olift V_s (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus V_k (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) :rule resolution :premises (t138 t139))
% 3.42/3.60  (step t141 (cl (=> (forall ((V_t $$unsorted) (V_s $$unsorted) (V_k $$unsorted)) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs V_t) V_s V_k) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst V_t (tptp.c_Lambda_Olift V_s (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus V_k (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (not (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule implies_neg2)
% 3.42/3.60  (step t142 (cl (=> (forall ((V_t $$unsorted) (V_s $$unsorted) (V_k $$unsorted)) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs V_t) V_s V_k) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst V_t (tptp.c_Lambda_Olift V_s (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus V_k (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (=> (forall ((V_t $$unsorted) (V_s $$unsorted) (V_k $$unsorted)) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs V_t) V_s V_k) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst V_t (tptp.c_Lambda_Olift V_s (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus V_k (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule resolution :premises (t140 t141))
% 3.42/3.60  (step t143 (cl (=> (forall ((V_t $$unsorted) (V_s $$unsorted) (V_k $$unsorted)) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs V_t) V_s V_k) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst V_t (tptp.c_Lambda_Olift V_s (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus V_k (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule contraction :premises (t142))
% 3.42/3.60  (step t144 (cl (not (forall ((V_t $$unsorted) (V_s $$unsorted) (V_k $$unsorted)) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs V_t) V_s V_k) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst V_t (tptp.c_Lambda_Olift V_s (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus V_k (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) :rule implies :premises (t143))
% 3.42/3.60  (step t145 (cl (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) (tptp.c_Lambda_OdB_OVar tptp.v_ia) tptp.v_ja) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) :rule resolution :premises (t144 a594))
% 3.42/3.60  (step t146 (cl (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule resolution :premises (t137 a683 t145))
% 3.42/3.60  (step t147 (cl (=> (forall ((V_r $$unsorted)) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs V_r)) (not (tptp.c_InductTermi_OIT V_r)))) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (forall ((V_r $$unsorted)) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs V_r)) (not (tptp.c_InductTermi_OIT V_r))))) :rule implies_neg1)
% 3.42/3.60  (anchor :step t148)
% 3.42/3.60  (assume t148.a0 (forall ((V_r $$unsorted)) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs V_r)) (not (tptp.c_InductTermi_OIT V_r)))))
% 3.42/3.60  (step t148.t1 (cl (or (not (forall ((V_r $$unsorted)) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs V_r)) (not (tptp.c_InductTermi_OIT V_r))))) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) :rule forall_inst :args ((:= V_r (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))
% 3.42/3.60  (step t148.t2 (cl (not (forall ((V_r $$unsorted)) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs V_r)) (not (tptp.c_InductTermi_OIT V_r))))) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule or :premises (t148.t1))
% 3.42/3.60  (step t148.t3 (cl (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule resolution :premises (t148.t2 t148.a0))
% 3.42/3.60  (step t148 (cl (not (forall ((V_r $$unsorted)) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs V_r)) (not (tptp.c_InductTermi_OIT V_r))))) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule subproof :discharge (t148.a0))
% 3.42/3.60  (step t149 (cl (=> (forall ((V_r $$unsorted)) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs V_r)) (not (tptp.c_InductTermi_OIT V_r)))) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule resolution :premises (t147 t148))
% 3.42/3.60  (step t150 (cl (=> (forall ((V_r $$unsorted)) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs V_r)) (not (tptp.c_InductTermi_OIT V_r)))) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (not (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) :rule implies_neg2)
% 3.42/3.60  (step t151 (cl (=> (forall ((V_r $$unsorted)) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs V_r)) (not (tptp.c_InductTermi_OIT V_r)))) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) (=> (forall ((V_r $$unsorted)) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs V_r)) (not (tptp.c_InductTermi_OIT V_r)))) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) :rule resolution :premises (t149 t150))
% 3.42/3.60  (step t152 (cl (=> (forall ((V_r $$unsorted)) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs V_r)) (not (tptp.c_InductTermi_OIT V_r)))) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))))) :rule contraction :premises (t151))
% 3.42/3.60  (step t153 (cl (not (forall ((V_r $$unsorted)) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs V_r)) (not (tptp.c_InductTermi_OIT V_r))))) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule implies :premises (t152))
% 3.42/3.60  (step t154 (cl (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))) (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat)))))) :rule resolution :premises (t153 a677))
% 3.42/3.60  (step t155 (cl (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar tptp.v_ia) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oone__class_Oone tptp.tc_nat) tptp.tc_nat))))) :rule resolution :premises (t102 t146 t154))
% 3.42/3.60  (step t156 (cl (not (= (=> (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) V_k tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_m (tptp.c_HOL_Oplus__class_Oplus V_n V_k tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat) tptp.tc_nat))) (=> (forall ((V_m $$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))) (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))))) (not (=> (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) V_k tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_m (tptp.c_HOL_Oplus__class_Oplus V_n V_k tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat) tptp.tc_nat)))) (=> (forall ((V_m $$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))) (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)))) :rule equiv_pos2)
% 3.42/3.60  (step t157 (cl (= (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) V_k tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_m (tptp.c_HOL_Oplus__class_Oplus V_n V_k tptp.tc_nat) tptp.tc_nat))) (forall ((V_m $$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))))) :rule refl)
% 3.42/3.60  (step t158 (cl (= (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat)) (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)))) :rule all_simplify)
% 3.42/3.60  (step t159 (cl (= (=> (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) V_k tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_m (tptp.c_HOL_Oplus__class_Oplus V_n V_k tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat) tptp.tc_nat))) (=> (forall ((V_m $$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))) (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))))) :rule cong :premises (t157 t158))
% 3.42/3.60  (step t160 (cl (=> (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) V_k tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_m (tptp.c_HOL_Oplus__class_Oplus V_n V_k tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat) tptp.tc_nat))) (forall ((V_m $$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)))) :rule implies_neg1)
% 3.42/3.60  (anchor :step t161)
% 3.42/3.60  (assume t161.a0 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) V_k tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_m (tptp.c_HOL_Oplus__class_Oplus V_n V_k tptp.tc_nat) tptp.tc_nat))))
% 3.42/3.60  (step t161.t1 (cl (or (not (forall ((V_m $$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)))) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat)))) :rule forall_inst :args ((:= V_m tptp.v_ja) (:= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) (:= V_k (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 3.42/3.60  (step t161.t2 (cl (not (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) V_k tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_m (tptp.c_HOL_Oplus__class_Oplus V_n V_k tptp.tc_nat) tptp.tc_nat)))) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat) tptp.tc_nat))) :rule or :premises (t161.t1))
% 3.42/3.60  (step t161.t3 (cl (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat) tptp.tc_nat))) :rule resolution :premises (t161.t2 t161.a0))
% 3.42/3.60  (step t161 (cl (not (forall ((V_m $$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)))) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat))) :rule subproof :discharge (t161.a0))
% 3.42/3.60  (step t162 (cl (=> (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) V_k tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_m (tptp.c_HOL_Oplus__class_Oplus V_n V_k tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat) tptp.tc_nat))) :rule resolution :premises (t160 t161))
% 3.42/3.60  (step t163 (cl (=> (forall ((V_m $$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))) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat))) (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat)))) :rule implies_neg2)
% 3.42/3.60  (step t164 (cl (=> (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) V_k tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_m (tptp.c_HOL_Oplus__class_Oplus V_n V_k tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat) tptp.tc_nat))) (=> (forall ((V_m $$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))) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat)))) :rule resolution :premises (t162 t163))
% 3.42/3.60  (step t165 (cl (=> (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus V_m V_n tptp.tc_nat) V_k tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus V_m (tptp.c_HOL_Oplus__class_Oplus V_n V_k tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat) tptp.tc_nat)))) :rule contraction :premises (t164))
% 3.42/3.60  (step t166 (cl (=> (forall ((V_m $$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))) (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat)))) :rule resolution :premises (t156 t159 t165))
% 3.42/3.60  (step t167 (cl (not (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)))) (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))) :rule implies :premises (t166))
% 3.42/3.60  (step t168 (cl (= (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (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.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) tptp.tc_nat))) :rule resolution :premises (t167 a286))
% 3.42/3.60  (step t169 (cl) :rule resolution :premises (t73 t81 t100 t155 t168 a321 a27))
% 3.42/3.60  
% 3.42/3.61  % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.NRlLjHJMJ0/cvc5---1.0.5_7978.smt2
% 3.42/3.61  % cvc5---1.0.5 exiting
% 3.42/3.62  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------